Table of contents 目次

28×10112+113

c113

name 名前Jo Yeong Uk
date 日付July 25, 2010 10:56:44 UTC 2010 年 7 月 25 日 (日) 19 時 56 分 44 秒 (日本時間)
composite number 合成数
93333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337<113>
prime factors 素因数
79403659874743226532789997434715787480303890331323<50>
1175428607202284228618026129086608845802149157973816622878983419<64>
factorization results 素因数分解の結果
Number: 93337_112
N=93333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337
  ( 113 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=79403659874743226532789997434715787480303890331323
 r2=1175428607202284228618026129086608845802149157973816622878983419
Version: 
Total time: 0.35 hours.
Scaled time: 0.84 units (timescale=2.383).
Factorization parameters were as follows:
n: 93333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337
m: 10000000000000000000000000000
deg: 4
c4: 28
c0: 11
skew: 0.79
type: snfs
lss: 1
rlim: 350000
alim: 350000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 350000/350000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [175000, 300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 1040086
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 45336 x 45580
Total sieving time: 0.32 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,113,4,0,0,0,0,0,0,0,0,350000,350000,25,25,45,45,2.2,2.2,25000
total time: 0.35 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046580k/8912896k available (2575k kernel code, 339584k reserved, 1303k data, 212k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.59 BogoMIPS (lpj=2672798)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672385)
Calibrating delay using timer specific routine.. 5237.79 BogoMIPS (lpj=2618899)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672379)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)

28×10122+113

c107

name 名前Sinkiti Sibata
date 日付July 25, 2010 13:18:36 UTC 2010 年 7 月 25 日 (日) 22 時 18 分 36 秒 (日本時間)
composite number 合成数
48670874799582318848917036608835134882429376900851762589726580800249119007999072673251535309157009259770983<107>
prime factors 素因数
229333729344454238749464415900304379141556387730093<51>
212227285269842408830443108968897768204581919170583861731<57>
factorization results 素因数分解の結果
Number: 93337_122
N=48670874799582318848917036608835134882429376900851762589726580800249119007999072673251535309157009259770983
  ( 107 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=229333729344454238749464415900304379141556387730093 (pp51)
 r2=212227285269842408830443108968897768204581919170583861731 (pp57)
Version: Msieve-1.40
Total time: 2.10 hours.
Scaled time: 4.10 units (timescale=1.951).
Factorization parameters were as follows:
name: 93337_122
n: 48670874799582318848917036608835134882429376900851762589726580800249119007999072673251535309157009259770983
m: 1000000000000000000000000
deg: 5
c5: 2800
c0: 11
skew: 0.33
type: snfs
lss: 1
rlim: 800000
alim: 800000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [400000, 700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 83751 x 83976
Total sieving time: 2.04 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,123.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,46,46,2.2,2.2,50000
total time: 2.10 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
3025e40--
351e6118 / 904Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)

28×10124+113

c114

name 名前Sinkiti Sibata
date 日付July 25, 2010 21:46:42 UTC 2010 年 7 月 26 日 (月) 6 時 46 分 42 秒 (日本時間)
composite number 合成数
796403474908000033536334161718406383634500259261054961687533695984082150315300178743646527479347802560724853812163<114>
prime factors 素因数
3889540551989471072173039435867938408971<40>
204755154050430346503179827203872310856234849174204483179596085306874867753<75>
factorization results 素因数分解の結果
Number: 93337_124
N=796403474908000033536334161718406383634500259261054961687533695984082150315300178743646527479347802560724853812163
  ( 114 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=3889540551989471072173039435867938408971 (pp40)
 r2=204755154050430346503179827203872310856234849174204483179596085306874867753 (pp75)
Version: Msieve-1.40
Total time: 2.24 hours.
Scaled time: 4.65 units (timescale=2.079).
Factorization parameters were as follows:
name: 93337_124
n: 796403474908000033536334161718406383634500259261054961687533695984082150315300178743646527479347802560724853812163
m: 2000000000000000000000000
deg: 5
c5: 8750
c0: 11
skew: 0.26
type: snfs
lss: 1
rlim: 860000
alim: 860000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 860000/860000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [430000, 730001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 130797 x 131045
Total sieving time: 2.09 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,125.000,5,0,0,0,0,0,0,0,0,860000,860000,26,26,46,46,2.3,2.3,50000
total time: 2.24 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
3025e40--
351e6118 / 904Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)

28×10127+113

c101

name 名前Sinkiti Sibata
date 日付July 26, 2010 03:28:05 UTC 2010 年 7 月 26 日 (月) 12 時 28 分 5 秒 (日本時間)
composite number 合成数
21640808854623095473787763885268849343506360593728520974147601207330272480180535500808302525238735791<101>
prime factors 素因数
64757455323376202785195902295759521227<38>
334182508354542730020253733345488030818206081861870105805253933<63>
factorization results 素因数分解の結果
Number: 93337_127
N=21640808854623095473787763885268849343506360593728520974147601207330272480180535500808302525238735791
  ( 101 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=64757455323376202785195902295759521227 (pp38)
 r2=334182508354542730020253733345488030818206081861870105805253933 (pp63)
Version: Msieve-1.40
Total time: 2.35 hours.
Scaled time: 4.85 units (timescale=2.063).
Factorization parameters were as follows:
name: 93337_127
n: 21640808854623095473787763885268849343506360593728520974147601207330272480180535500808302525238735791
m: 10000000000000000000000000
deg: 5
c5: 2800
c0: 11
skew: 0.33
type: snfs
lss: 1
rlim: 970000
alim: 970000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 970000/970000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [485000, 785001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 137580 x 137811
Total sieving time: 2.22 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,128.000,5,0,0,0,0,0,0,0,0,970000,970000,26,26,47,47,2.3,2.3,50000
total time: 2.35 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
3025e40--
351e6118 / 904Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)

28×10129+113

c120

name 名前Sinkiti Sibata
date 日付July 26, 2010 07:13:56 UTC 2010 年 7 月 26 日 (月) 16 時 13 分 56 秒 (日本時間)
composite number 合成数
323641139467895884093070221719379812558257169959809920006495584933041179753526647338895722689639240709184000345818139971<120>
prime factors 素因数
1205941432269147382112228485280927<34>
125819558661779816108523547951463837<36>
2132992594856486928667212901618075733101171887320129<52>
factorization results 素因数分解の結果
Number: 93337_129
N=323641139467895884093070221719379812558257169959809920006495584933041179753526647338895722689639240709184000345818139971
  ( 120 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=1205941432269147382112228485280927 (pp34)
 r2=125819558661779816108523547951463837 (pp36)
 r3=2132992594856486928667212901618075733101171887320129 (pp52)
Version: Msieve-1.40
Total time: 3.43 hours.
Scaled time: 7.07 units (timescale=2.060).
Factorization parameters were as follows:
name: 93337_129
n: 323641139467895884093070221719379812558257169959809920006495584933041179753526647338895722689639240709184000345818139971
m: 20000000000000000000000000
deg: 5
c5: 8750
c0: 11
skew: 0.26
type: snfs
lss: 1
rlim: 1050000
alim: 1050000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1050000/1050000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [525000, 975001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 155488 x 155722
Total sieving time: 3.19 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,130.000,5,0,0,0,0,0,0,0,0,1050000,1050000,26,26,47,47,2.3,2.3,50000
total time: 3.43 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
3025e40--
351e6118 / 904Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)

28×10130+113

c131

name 名前matsui
date 日付July 25, 2010 09:48:35 UTC 2010 年 7 月 25 日 (日) 18 時 48 分 35 秒 (日本時間)
composite number 合成数
93333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337<131>
prime factors 素因数
1850445927845269700822807377743112821857396618225751773<55>
50438292699540943004912334813610098601670707396654857881847109518983619857069<77>
factorization results 素因数分解の結果
N=93333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337
  ( 131 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=1850445927845269700822807377743112821857396618225751773 (pp55)
 r2=50438292699540943004912334813610098601670707396654857881847109518983619857069 (pp77)
Version: Msieve v. 1.46
Total time:
Scaled time: 7.33 units (timescale=1.881).
Factorization parameters were as follows:
n: 93333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337
m: 100000000000000000000000000
deg: 5
c5: 28
c0: 11
skew: 0.83
type: snfs
lss: 1
rlim: 1090000
alim: 1090000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3


Factor base limits: 1090000/1090000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [545000, 945001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 157734 x 157959
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,131.000,5,0,0,0,0,0,0,0,0,1090000,1090000,26,26,47,47,2.3,2.3,50000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)

28×10132+113

c124

name 名前Sinkiti Sibata
date 日付July 26, 2010 10:47:28 UTC 2010 年 7 月 26 日 (月) 19 時 47 分 28 秒 (日本時間)
composite number 合成数
2124828541238979328146953025350064976653491555743215960296076756717949757900515417966974179586012927192607291500442231040503<124>
prime factors 素因数
6475520930269607201722096809798456312312509<43>
328132448975114725910484182597981668554480903301136667748264202359014701456233667<81>
factorization results 素因数分解の結果
Number: 93337_132
N=2124828541238979328146953025350064976653491555743215960296076756717949757900515417966974179586012927192607291500442231040503
  ( 124 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=6475520930269607201722096809798456312312509 (pp43)
 r2=328132448975114725910484182597981668554480903301136667748264202359014701456233667 (pp81)
Version: Msieve-1.40
Total time: 3.24 hours.
Scaled time: 6.68 units (timescale=2.064).
Factorization parameters were as follows:
name: 93337_132
n: 2124828541238979328146953025350064976653491555743215960296076756717949757900515417966974179586012927192607291500442231040503
m: 100000000000000000000000000
deg: 5
c5: 2800
c0: 11
skew: 0.33
type: snfs
lss: 1
rlim: 1170000
alim: 1170000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1170000/1170000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [585000, 985001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 179414 x 179662
Total sieving time: 3.02 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,133.000,5,0,0,0,0,0,0,0,0,1170000,1170000,26,26,47,47,2.3,2.3,50000
total time: 3.24 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
3025e40--
351e6118 / 904Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)

28×10134+113

c135

name 名前matsui
date 日付July 25, 2010 09:15:56 UTC 2010 年 7 月 25 日 (日) 18 時 15 分 56 秒 (日本時間)
composite number 合成数
933333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337<135>
prime factors 素因数
14661096410646502823324002265144001542341<41>
63660541285000431537183128530541655772048672968498885658704926325170080326340429058593915693957<95>
factorization results 素因数分解の結果
N=933333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337
  ( 135 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=14661096410646502823324002265144001542341 (pp41)
 r2=63660541285000431537183128530541655772048672968498885658704926325170080326340429058593915693957 (pp95)
Version: Msieve v. 1.46
Total time:
Scaled time: 12.07 units (timescale=1.883).
Factorization parameters were as follows:
n: 933333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337
m: 200000000000000000000000000
deg: 5
c5: 8750
c0: 11
skew: 0.26
type: snfs
lss: 1
rlim: 1270000
alim: 1270000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3

Factor base limits: 1270000/1270000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [635000, 1310001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 186716 x 186941
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,135.000,5,0,0,0,0,0,0,0,0,1270000,1270000,26,26,47,47,2.3,2.3,75000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)

28×10137+113

c136

name 名前Sinkiti Sibata
date 日付July 27, 2010 04:01:16 UTC 2010 年 7 月 27 日 (火) 13 時 1 分 16 秒 (日本時間)
composite number 合成数
3001071811361200428724544480171489817792068595927116827438370846730975348338692390139335476956055734190782422293676312968917470525187567<136>
prime factors 素因数
1172487634752382895147347436065786899525647<43>
2559576512715202625102252449020425524827116277455401661472268890913248277339060597034212707361<94>
factorization results 素因数分解の結果
Number: 93337_137
N=3001071811361200428724544480171489817792068595927116827438370846730975348338692390139335476956055734190782422293676312968917470525187567
  ( 136 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=1172487634752382895147347436065786899525647 (pp43)
 r2=2559576512715202625102252449020425524827116277455401661472268890913248277339060597034212707361 (pp94)
Version: Msieve-1.40
Total time: 5.42 hours.
Scaled time: 11.23 units (timescale=2.071).
Factorization parameters were as follows:
name: 93337_137
n: 3001071811361200428724544480171489817792068595927116827438370846730975348338692390139335476956055734190782422293676312968917470525187567
m: 1000000000000000000000000000
deg: 5
c5: 2800
c0: 11
skew: 0.33
type: snfs
lss: 1
rlim: 1420000
alim: 1420000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1420000/1420000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [710000, 1385001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 197456 x 197702
Total sieving time: 5.20 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,138.000,5,0,0,0,0,0,0,0,0,1420000,1420000,26,26,48,48,2.3,2.3,75000
total time: 5.42 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
3025e40--
351e6118 / 904Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)

28×10139+113

c108

name 名前Sinkiti Sibata
date 日付July 26, 2010 21:59:47 UTC 2010 年 7 月 27 日 (火) 6 時 59 分 47 秒 (日本時間)
composite number 合成数
225566384535508446566692615972875355057703916190032786978475679031827515078569683743599812101178021143328863<108>
prime factors 素因数
655406439427523879063701202732279558512934839<45>
344162600435438682957283563680581859533478783274076724546059417<63>
factorization results 素因数分解の結果
Number: 93337_139
N=225566384535508446566692615972875355057703916190032786978475679031827515078569683743599812101178021143328863
  ( 108 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=655406439427523879063701202732279558512934839 (pp45)
 r2=344162600435438682957283563680581859533478783274076724546059417 (pp63)
Version: Msieve-1.40
Total time: 7.14 hours.
Scaled time: 14.51 units (timescale=2.031).
Factorization parameters were as follows:
name: 93337_139
n: 225566384535508446566692615972875355057703916190032786978475679031827515078569683743599812101178021143328863
m: 2000000000000000000000000000
deg: 5
c5: 8750
c0: 11
skew: 0.26
type: snfs
lss: 1
rlim: 1530000
alim: 1530000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1530000/1530000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [765000, 1665001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 242741 x 242981
Total sieving time: 6.78 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,140.000,5,0,0,0,0,0,0,0,0,1530000,1530000,26,26,48,48,2.3,2.3,75000
total time: 7.14 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
3025e40--
351e6118 / 904Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)

28×10142+113

c105

name 名前ruffenach timothee
date 日付July 28, 2010 17:11:41 UTC 2010 年 7 月 29 日 (木) 2 時 11 分 41 秒 (日本時間)
composite number 合成数
134334378275463667887062869019793581760401132820448816606682908060249701896845078017857687390653321013723<105>
prime factors 素因数
44500124165378984990495309291<29>
3018741650612641838036490401605031644780332334285179298864737279262422374353<76>
factorization results 素因数分解の結果
Number: 93337_142/93337_142
N=134334378275463667887062869019793581760401132820448816606682908060249701896845078017857687390653321013723
  ( 105 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=44500124165378984990495309291 (pp29)
 r2=3018741650612641838036490401605031644780332334285179298864737279262422374353 (pp76)
Version: Msieve v. 1.44
Total time: 25.55 hours.
Scaled time: 50.25 units (timescale=1.967).
Factorization parameters were as follows:
n: 134334378275463667887062869019793581760401132820448816606682908060249701896845078017857687390653321013723
m: 10000000000000000000000000000
deg: 5
c5: 2800
c0: 11
skew: 0.33
type: snfs
lss: 1
rlim: 1720000
alim: 1720000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1720000/1720000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [860000, 1960001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 283481 x 283706
Total sieving time: 25.27 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,143.000,5,0,0,0,0,0,0,0,0,1720000,1720000,26,26,48,48,2.3,2.3,100000
total time: 25.55 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
3025e40--
351e6118 / 904Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)

28×10143+113

c129

name 名前Sinkiti Sibata
date 日付July 26, 2010 22:22:03 UTC 2010 年 7 月 27 日 (火) 7 時 22 分 3 秒 (日本時間)
composite number 合成数
275693167005707130364660718556712950314050380739889664839575965729604937839697356616153299976945282783512924566759799853860300487<129>
prime factors 素因数
1013131644659674069154288319934384897248502811007317<52>
272119786662390305715971567870463819169778524927626667767546889475205830660011<78>
factorization results 素因数分解の結果
Number: 93337_143
N=275693167005707130364660718556712950314050380739889664839575965729604937839697356616153299976945282783512924566759799853860300487
  ( 129 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=1013131644659674069154288319934384897248502811007317 (pp52)
 r2=272119786662390305715971567870463819169778524927626667767546889475205830660011 (pp78)
Version: Msieve-1.40
Total time: 6.55 hours.
Scaled time: 19.90 units (timescale=3.039).
Factorization parameters were as follows:
name: 93337_143
n: 275693167005707130364660718556712950314050380739889664839575965729604937839697356616153299976945282783512924566759799853860300487
m: 20000000000000000000000000000
deg: 5
c5: 875
c0: 11
skew: 0.42
type: snfs
lss: 1
rlim: 1790000
alim: 1790000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1790000/1790000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [895000, 1895001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 285312 x 285560
Total sieving time: 6.33 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,144.000,5,0,0,0,0,0,0,0,0,1790000,1790000,26,26,49,49,2.3,2.3,100000
total time: 6.55 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 792Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)
403e640 / 2318Rich DickersonJuly 25, 2010 23:33:11 UTC 2010 年 7 月 26 日 (月) 8 時 33 分 11 秒 (日本時間)

28×10145+113

c142

name 名前Sinkiti Sibata
date 日付July 26, 2010 22:31:01 UTC 2010 年 7 月 27 日 (火) 7 時 31 分 1 秒 (日本時間)
composite number 合成数
1017778407831077863683121962567564129127000570682892962425802136607671868241315260496748561479268217324769455016011835308913921391157686589679<142>
prime factors 素因数
3169831095546677568070809198304591441101799050281<49>
321082851783794830595135203392495319570431899054396920367044559354102850373095200197568995159<93>
factorization results 素因数分解の結果
Number: 93337_145
N=1017778407831077863683121962567564129127000570682892962425802136607671868241315260496748561479268217324769455016011835308913921391157686589679
  ( 142 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=3169831095546677568070809198304591441101799050281 (pp49)
 r2=321082851783794830595135203392495319570431899054396920367044559354102850373095200197568995159 (pp93)
Version: Msieve-1.40
Total time: 7.98 hours.
Scaled time: 24.13 units (timescale=3.024).
Factorization parameters were as follows:
name: 93337_145
n: 1017778407831077863683121962567564129127000570682892962425802136607671868241315260496748561479268217324769455016011835308913921391157686589679
m: 100000000000000000000000000000
deg: 5
c5: 28
c0: 11
skew: 0.83
type: snfs
lss: 1
rlim: 1930000
alim: 1930000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1930000/1930000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [965000, 2165001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 321880 x 322128
Total sieving time: 7.73 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1930000,1930000,26,26,49,49,2.3,2.3,100000
total time: 7.98 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 764Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)
403e650 / 2318Rich DickersonJuly 26, 2010 01:07:23 UTC 2010 年 7 月 26 日 (月) 10 時 7 分 23 秒 (日本時間)

28×10146+113

c138

name 名前Sinkiti Sibata
date 日付July 26, 2010 22:27:59 UTC 2010 年 7 月 27 日 (火) 7 時 27 分 59 秒 (日本時間)
composite number 合成数
105718833446479273518326969228143637901971085856689341087639257256929367188613396005871210346924873270164784588690074955612311967331723901<138>
prime factors 素因数
61614394795497154259030156450385531404544545680239170305456036308409<68>
1715813874296227262699636265426529234146845780252455268715681800719589<70>
factorization results 素因数分解の結果
Number: 93337_146
N=105718833446479273518326969228143637901971085856689341087639257256929367188613396005871210346924873270164784588690074955612311967331723901
  ( 138 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=61614394795497154259030156450385531404544545680239170305456036308409 (pp68)
 r2=1715813874296227262699636265426529234146845780252455268715681800719589 (pp70)
Version: Msieve-1.40
Total time: 9.32 hours.
Scaled time: 30.34 units (timescale=3.254).
Factorization parameters were as follows:
name: 93337_146
n: 105718833446479273518326969228143637901971085856689341087639257256929367188613396005871210346924873270164784588690074955612311967331723901
m: 100000000000000000000000000000
deg: 5
c5: 280
c0: 11
skew: 0.52
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 338000 x 338248
Total sieving time: 9.03 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,147.000,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 9.32 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)

28×10147+113

c125

name 名前Sinkiti Sibata
date 日付July 27, 2010 09:16:48 UTC 2010 年 7 月 27 日 (火) 18 時 16 分 48 秒 (日本時間)
composite number 合成数
74897130891504039212501680440305000802221872515154089145196403152863801288283298752276323226730568015543272012518792371910243<125>
prime factors 素因数
606275242007889435144966745993<30>
200634895978159737442048004533533550276403<42>
615727961960801715889503173350527865083130182046047817<54>
factorization results 素因数分解の結果
Number: 93337_147
N=74897130891504039212501680440305000802221872515154089145196403152863801288283298752276323226730568015543272012518792371910243
  ( 125 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=606275242007889435144966745993 (pp30)
 r2=200634895978159737442048004533533550276403 (pp42)
 r3=615727961960801715889503173350527865083130182046047817 (pp54)
Version: Msieve-1.40
Total time: 9.02 hours.
Scaled time: 29.22 units (timescale=3.238).
Factorization parameters were as follows:
name: 93337_147
n: 74897130891504039212501680440305000802221872515154089145196403152863801288283298752276323226730568015543272012518792371910243
m: 100000000000000000000000000000
deg: 5
c5: 2800
c0: 11
skew: 0.33
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 355836 x 356084
Total sieving time: 8.69 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,148.000,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 9.02 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)

28×10149+113

c139

name 名前Serge Batalov
date 日付July 25, 2010 20:43:09 UTC 2010 年 7 月 26 日 (月) 5 時 43 分 9 秒 (日本時間)
composite number 合成数
6759317923794601003040735485207517048448874835634220975018020367596140202305115817862107830847949056396310245247516258664000402939492110141<139>
prime factors 素因数
64190109364625698956712995525207011<35>
105301548645118365932205177854477358434867686842563007251145877335166532411256769892578628343310430644831<105>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4059339726
Step 1 took 3024ms
Step 2 took 2152ms
********** Factor found in step 2: 64190109364625698956712995525207011
Found probable prime factor of 35 digits: 64190109364625698956712995525207011
Probable prime cofactor has 105 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)

28×10150+113

c106

name 名前Sinkiti Sibata
date 日付July 27, 2010 08:22:26 UTC 2010 年 7 月 27 日 (火) 17 時 22 分 26 秒 (日本時間)
composite number 合成数
6234708800950140872367694559895564455235478417267914987552236313825485752308289118114108754069548256138343<106>
prime factors 素因数
18129085842375867643316304009329614100509733<44>
343906408472996935412358394237545536584157604079033653590678171<63>
factorization results 素因数分解の結果
Number: 93337_150
N=6234708800950140872367694559895564455235478417267914987552236313825485752308289118114108754069548256138343
  ( 106 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=18129085842375867643316304009329614100509733 (pp44)
 r2=343906408472996935412358394237545536584157604079033653590678171 (pp63)
Version: Msieve-1.40
Total time: 12.53 hours.
Scaled time: 38.44 units (timescale=3.067).
Factorization parameters were as follows:
name: 93337_150
n: 6234708800950140872367694559895564455235478417267914987552236313825485752308289118114108754069548256138343
m: 1000000000000000000000000000000
deg: 5
c5: 28
c0: 11
skew: 0.83
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 381645 x 381893
Total sieving time: 12.12 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.29 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 12.53 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)

28×10151+113

c135

name 名前Sinkiti Sibata
date 日付July 28, 2010 05:55:08 UTC 2010 年 7 月 28 日 (水) 14 時 55 分 8 秒 (日本時間)
composite number 合成数
103198753619341825424864208080550047247261555988787032085707084692282291222930720168177674667935875898971937931346913000274473068322281<135>
prime factors 素因数
2991676593579339479209809517972988516004554388442903371420671<61>
34495290647667056071342455747719104555041649728712920070062215381970021911<74>
factorization results 素因数分解の結果
Number: 93337_151
N=103198753619341825424864208080550047247261555988787032085707084692282291222930720168177674667935875898971937931346913000274473068322281
  ( 135 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=2991676593579339479209809517972988516004554388442903371420671 (pp61)
 r2=34495290647667056071342455747719104555041649728712920070062215381970021911 (pp74)
Version: Msieve-1.40
Total time: 14.71 hours.
Scaled time: 47.87 units (timescale=3.254).
Factorization parameters were as follows:
name: 93337_151
n: 103198753619341825424864208080550047247261555988787032085707084692282291222930720168177674667935875898971937931346913000274473068322281
m: 1000000000000000000000000000000
deg: 5
c5: 280
c0: 11
skew: 0.52
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 2000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 417887 x 418135
Total sieving time: 14.23 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.34 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,152.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 14.71 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJuly 26, 2010 13:27:12 UTC 2010 年 7 月 26 日 (月) 22 時 27 分 12 秒 (日本時間)

28×10152+113

c121

name 名前Sinkiti Sibata
date 日付July 28, 2010 05:58:21 UTC 2010 年 7 月 28 日 (水) 14 時 58 分 21 秒 (日本時間)
composite number 合成数
6124283285237019204499608294273877530870943325816389409545288982382158284230366623011549020508054237376113829050960394789<121>
prime factors 素因数
27930154123209367862538991999276535169277996242631280765447<59>
219271374523059620765549490385007490119594930662765293044604787<63>
factorization results 素因数分解の結果
Number: 93337_152
N=6124283285237019204499608294273877530870943325816389409545288982382158284230366623011549020508054237376113829050960394789
  ( 121 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=27930154123209367862538991999276535169277996242631280765447 (pp59)
 r2=219271374523059620765549490385007490119594930662765293044604787 (pp63)
Version: Msieve-1.40
Total time: 13.33 hours.
Scaled time: 43.15 units (timescale=3.238).
Factorization parameters were as follows:
name: 93337_152
n: 6124283285237019204499608294273877530870943325816389409545288982382158284230366623011549020508054237376113829050960394789
m: 1000000000000000000000000000000
deg: 5
c5: 2800
c0: 11
skew: 0.33
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 1950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 487749 x 487997
Total sieving time: 12.75 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.46 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 13.33 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJuly 26, 2010 13:26:57 UTC 2010 年 7 月 26 日 (月) 22 時 26 分 57 秒 (日本時間)

28×10158+113

c144

name 名前Wataru Sakai
date 日付July 26, 2010 02:44:45 UTC 2010 年 7 月 26 日 (月) 11 時 44 分 45 秒 (日本時間)
composite number 合成数
182036990719455473431982218745376249792979896807248971950716037599594166181504317955508599760139161758725688917616902378900223816962846714207301<144>
prime factors 素因数
261958886930193648715312233125959399<36>
694906719343193636307300104302204700448438138017329990075759302932067811453763400682948235493661312315853299<108>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2429026654
Step 1 took 13451ms
Step 2 took 5676ms
********** Factor found in step 2: 261958886930193648715312233125959399
Found probable prime factor of 36 digits: 261958886930193648715312233125959399
Probable prime cofactor 694906719343193636307300104302204700448438138017329990075759302932067811453763400682948235493661312315853299 has 108 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)

28×10159+113

c160

name 名前Sinkiti Sibata
date 日付July 28, 2010 06:02:55 UTC 2010 年 7 月 28 日 (水) 15 時 2 分 55 秒 (日本時間)
composite number 合成数
9333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337<160>
prime factors 素因数
153648299699951259696958804381371245015413091135022839947<57>
60744787619255991367733104423619011363091237306407626369082579456783359420773008203077501807039103779371<104>
factorization results 素因数分解の結果
Number: 93337_159
N=9333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337
  ( 160 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=153648299699951259696958804381371245015413091135022839947 (pp57)
 r2=60744787619255991367733104423619011363091237306407626369082579456783359420773008203077501807039103779371 (pp104)
Version: Msieve-1.40
Total time: 28.34 hours.
Scaled time: 92.22 units (timescale=3.254).
Factorization parameters were as follows:
name: 93337_159
n: 9333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337
m: 20000000000000000000000000000000
deg: 5
c5: 8750
c0: 11
skew: 0.26
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1650000, 3150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 674025 x 674273
Total sieving time: 27.32 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.87 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,160.000,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
total time: 28.34 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)

28×10160+113

c149

name 名前Wataru Sakai
date 日付July 26, 2010 00:30:38 UTC 2010 年 7 月 26 日 (月) 9 時 30 分 38 秒 (日本時間)
composite number 合成数
51055351869485292440935606821376817511674160666311044493791190027833593011608024917651351312865074587786767407042456675810476944252717241439971562463<149>
prime factors 素因数
78286277220857055180702431715519961<35>
composite cofactor 合成数の残り
652162213889040430180052408331420218431873091030299296703661439790361047307920330094363223599788082593005021553783<114>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3814856644
Step 1 took 13332ms
Step 2 took 5767ms
********** Factor found in step 2: 78286277220857055180702431715519961
Found probable prime factor of 35 digits: 78286277220857055180702431715519961
Composite cofactor 652162213889040430180052408331420218431873091030299296703661439790361047307920330094363223599788082593005021553783 has 114 digits
software ソフトウェア
GMP-ECM 6.2.3

c114

name 名前Sinkiti Sibata
date 日付July 30, 2010 09:28:50 UTC 2010 年 7 月 30 日 (金) 18 時 28 分 50 秒 (日本時間)
composite number 合成数
652162213889040430180052408331420218431873091030299296703661439790361047307920330094363223599788082593005021553783<114>
prime factors 素因数
1282122240649995841464238858478714410011846829501651<52>
508658373758819285835691729891680888920474059215981975555904333<63>
factorization results 素因数分解の結果
Number: 93337_160
N=652162213889040430180052408331420218431873091030299296703661439790361047307920330094363223599788082593005021553783
  ( 114 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=1282122240649995841464238858478714410011846829501651 (pp52)
 r2=508658373758819285835691729891680888920474059215981975555904333 (pp63)
Version: Msieve-1.40
Total time: 29.51 hours.
Scaled time: 81.90 units (timescale=2.775).
Factorization parameters were as follows:
name: 93337_160
n: 652162213889040430180052408331420218431873091030299296703661439790361047307920330094363223599788082593005021553783
m: 100000000000000000000000000000000
deg: 5
c5: 28
c0: 11
skew: 0.83
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 606637 x 606885
Total sieving time: 28.54 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.80 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 29.51 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)

28×10162+113

c127

name 名前Sinkiti Sibata
date 日付July 30, 2010 09:26:05 UTC 2010 年 7 月 30 日 (金) 18 時 26 分 5 秒 (日本時間)
composite number 合成数
4304507473316315551634645228674027464128169230671851530570061664618570142283207520056987177062172964310084462970924820210981321<127>
prime factors 素因数
1427122830522667892091417826984169486996614837444150970369089<61>
3016213728246388911173755502953141213125883278844641979543560311689<67>
factorization results 素因数分解の結果
Number: 93337_162
N=4304507473316315551634645228674027464128169230671851530570061664618570142283207520056987177062172964310084462970924820210981321
  ( 127 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=1427122830522667892091417826984169486996614837444150970369089 (pp61)
 r2=3016213728246388911173755502953141213125883278844641979543560311689 (pp67)
Version: Msieve-1.40
Total time: 32.28 hours.
Scaled time: 98.54 units (timescale=3.053).
Factorization parameters were as follows:
name: 93337_162
n: 4304507473316315551634645228674027464128169230671851530570061664618570142283207520056987177062172964310084462970924820210981321
m: 100000000000000000000000000000000
deg: 5
c5: 2800
c0: 11
skew: 0.33
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4

Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1850000, 3350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 693216 x 693464
Total sieving time: 31.09 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.95 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 32.28 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
  

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJuly 26, 2010 00:31:48 UTC 2010 年 7 月 26 日 (月) 9 時 31 分 48 秒 (日本時間)

28×10163+113

c129

name 名前Sinkiti Sibata
date 日付July 30, 2010 12:59:18 UTC 2010 年 7 月 30 日 (金) 21 時 59 分 18 秒 (日本時間)
composite number 合成数
675618548283109860602304989077320099386305352537839514874163839090612017036905800280784454029048737107890946206727626086559162371<129>
prime factors 素因数
1153030910526470312768589175658086044987269384441<49>
585950074811632362439829711952873409580923114711712816102689341696353792980896731<81>
factorization results 素因数分解の結果
Number: 93337_163
N=675618548283109860602304989077320099386305352537839514874163839090612017036905800280784454029048737107890946206727626086559162371
  ( 129 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=1153030910526470312768589175658086044987269384441 (pp49)
 r2=585950074811632362439829711952873409580923114711712816102689341696353792980896731 (pp81)
Version: Msieve-1.40
Total time: 36.25 hours.
Scaled time: 117.96 units (timescale=3.254).
Factorization parameters were as follows:
name: 93337_163
n: 675618548283109860602304989077320099386305352537839514874163839090612017036905800280784454029048737107890946206727626086559162371
m: 200000000000000000000000000000000
deg: 5
c5: 875
c0: 11
skew: 0.42
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 3650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 702406 x 702654
Total sieving time: 35.16 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.95 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 36.25 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJuly 26, 2010 00:32:05 UTC 2010 年 7 月 26 日 (月) 9 時 32 分 5 秒 (日本時間)

28×10164+113

c109

name 名前Sinkiti Sibata
date 日付July 28, 2010 23:53:00 UTC 2010 年 7 月 29 日 (木) 8 時 53 分 0 秒 (日本時間)
composite number 合成数
1590442293696937920498750834121421222711979299968079605399993877760222358370692353136434291098383648917566129<109>
prime factors 素因数
93987529186268972740055524386224099587933<41>
16921843860209618318509996085448314502762715824631759572129009031013<68>
factorization results 素因数分解の結果
Number: 93337_164
N=1590442293696937920498750834121421222711979299968079605399993877760222358370692353136434291098383648917566129
  ( 109 digits)
Divisors found:
 r1=93987529186268972740055524386224099587933 (pp41)
 r2=16921843860209618318509996085448314502762715824631759572129009031013 (pp68)
Version: Msieve-1.40
Total time: 12.20 hours.
Scaled time: 39.69 units (timescale=3.254).
Factorization parameters were as follows:
name: 93337_164
n: 1590442293696937920498750834121421222711979299968079605399993877760222358370692353136434291098383648917566129
skew: 28963.97
# norm 4.59e+14
c5: 2160
c4: 11383077
c3: 15858819073880
c2: -263420768656249824
c1: -5104873307286287656632
c0: -7981834174765416425487365
# alpha -5.28
Y1: 148026694739
Y0: -940616864323430381064
# Murphy_E 1.21e-09
# M 1044590555985816045074674392241543867943274828981222416909623625253446185456148727965728070462670709021578589
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 402950 x 403198
Polynomial selection time: 1.48 hours.
Total sieving time: 10.29 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.31 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 12.20 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJuly 26, 2010 00:32:30 UTC 2010 年 7 月 26 日 (月) 9 時 32 分 30 秒 (日本時間)

28×10165+113

c142

name 名前Wataru Sakai
date 日付July 25, 2010 08:37:17 UTC 2010 年 7 月 25 日 (日) 17 時 37 分 17 秒 (日本時間)
composite number 合成数
3952777434491390784320537181380814627746535482553273878804367417718312608037883073072676672265444552203439191519279308398041381237310350348037<142>
prime factors 素因数
51276783806494342357903930358347<32>
77087078031418205059383080992179707947008828245992975213946934976424026140231127011367221600199425272282188271<110>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2458458546
Step 1 took 13433ms
Step 2 took 5663ms
********** Factor found in step 2: 51276783806494342357903930358347
Found probable prime factor of 32 digits: 51276783806494342357903930358347
Probable prime cofactor 77087078031418205059383080992179707947008828245992975213946934976424026140231127011367221600199425272282188271 has 110 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)

28×10166+113

c137

name 名前Wataru Sakai
date 日付July 26, 2010 00:33:06 UTC 2010 年 7 月 26 日 (月) 9 時 33 分 6 秒 (日本時間)
composite number 合成数
31902736791998595400308579624624638529790470429053367619282404709752257851891528774545696807657450784719790685283570309901879573700445953<137>
prime factors 素因数
12798747537416092574640654301237765763593<41>
composite cofactor 合成数の残り
2492645213817488885094300647936708821774730735226833683865433142872552944004175492551290813598521<97>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4221489586
Step 1 took 13376ms
Step 2 took 5604ms
********** Factor found in step 2: 12798747537416092574640654301237765763593
Found probable prime factor of 41 digits: 12798747537416092574640654301237765763593
Composite cofactor 2492645213817488885094300647936708821774730735226833683865433142872552944004175492551290813598521 has 97 digits
software ソフトウェア
GMP-ECM 6.2.3

c97

name 名前Sinkiti Sibata
date 日付July 28, 2010 12:53:40 UTC 2010 年 7 月 28 日 (水) 21 時 53 分 40 秒 (日本時間)
composite number 合成数
2492645213817488885094300647936708821774730735226833683865433142872552944004175492551290813598521<97>
prime factors 素因数
49359430645344081967965584940590720850157<41>
50499877758468678296342720562095401083016949835756678653<56>
factorization results 素因数分解の結果
Number: 93337_166
N=2492645213817488885094300647936708821774730735226833683865433142872552944004175492551290813598521
  ( 97 digits)
Divisors found:
 r1=49359430645344081967965584940590720850157 (pp41)
 r2=50499877758468678296342720562095401083016949835756678653 (pp56)
Version: Msieve-1.40
Total time: 6.27 hours.
Scaled time: 20.41 units (timescale=3.254).
Factorization parameters were as follows:
name: 93337_166
n:  2492645213817488885094300647936708821774730735226833683865433142872552944004175492551290813598521
m:  10188675171508434459731
deg: 4
c4: 231307440
c3: 120226680827
c2: -1871719731262294457
c1: -1690734057577475274
c0: 822204419848957727089695
skew: 1635.250
type: gnfs
# adj. I(F,S) = 56.844
# E(F1,F2) = 1.958547e-05
# GGNFS version 0.77.1-20060513-nocona polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1280298367.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1680001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 190839 x 191087
Polynomial selection time: 0.17 hours.
Total sieving time: 6.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,96,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 6.27 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)

28×10167+113

c150

name 名前Wataru Sakai
date 日付July 25, 2010 09:08:07 UTC 2010 年 7 月 25 日 (日) 18 時 8 分 7 秒 (日本時間)
composite number 合成数
476073059891356990305810045856866273644189756621362387804838484730993228199551197049882428867945448706408879286746567663698209916894383386844566277629<150>
prime factors 素因数
245455312521086314811786357944071007<36>
composite cofactor 合成数の残り
1939550849405465650704866140323187524739786956549787576972697744747530460791172832853868914259053480634666189862947<115>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=236700940
Step 1 took 13393ms
Step 2 took 5835ms
********** Factor found in step 2: 245455312521086314811786357944071007
Found probable prime factor of 36 digits: 245455312521086314811786357944071007
Composite cofactor 1939550849405465650704866140323187524739786956549787576972697744747530460791172832853868914259053480634666189862947 has 115 digits
software ソフトウェア
GMP-ECM 6.2.3

c115

name 名前Sinkiti Sibata
date 日付July 30, 2010 12:54:13 UTC 2010 年 7 月 30 日 (金) 21 時 54 分 13 秒 (日本時間)
composite number 合成数
1939550849405465650704866140323187524739786956549787576972697744747530460791172832853868914259053480634666189862947<115>
prime factors 素因数
23158039021798752504756786639107376679446384780828327427<56>
83752810312641708009980796610346844201976982182040218833761<59>
factorization results 素因数分解の結果
Number: 93337_167
N=1939550849405465650704866140323187524739786956549787576972697744747530460791172832853868914259053480634666189862947
  ( 115 digits)
Divisors found:
 r1=23158039021798752504756786639107376679446384780828327427 (pp56)
 r2=83752810312641708009980796610346844201976982182040218833761 (pp59)
Version: Msieve-1.40
Total time: 31.10 hours.
Scaled time: 95.89 units (timescale=3.083).
Factorization parameters were as follows:
name: 93337_167
n: 1939550849405465650704866140323187524739786956549787576972697744747530460791172832853868914259053480634666189862947
skew: 28566.76
# norm 3.35e+15
c5: 15180
c4: 6099468260
c3: -71307728384215
c2: -3188681461304350289
c1: 46878003135565122088227
c0: 17304281268975413002110485
# alpha -5.46
Y1: 2654888207759
Y0: -10502121960696274761464
# Murphy_E 5.46e-10
# M 679470406656736321150653706910783519649453792911744351720836708912286123661765871248537098878675143191186297771947
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 3050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 449826 x 450074
Polynomial selection time: 2.67 hours.
Total sieving time: 27.90 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.40 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 31.10 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)

28×10169+113

c156

name 名前Wataru Sakai
date 日付July 25, 2010 09:07:09 UTC 2010 年 7 月 25 日 (日) 18 時 7 分 9 秒 (日本時間)
composite number 合成数
172851449560487561331723821845138622287108189381130512860487499620520734813288571664532490425796195430744532867630074486909517382340750198287220511697900351<156>
prime factors 素因数
10902559332865382037254945137807<32>
15854208565454254390503528604216343519254174910059080079887096929062309288363863724127559069743084153153569727221314334694993<125>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4180434922
Step 1 took 16151ms
********** Factor found in step 1: 10902559332865382037254945137807
Found probable prime factor of 32 digits: 10902559332865382037254945137807
Probable prime cofactor 15854208565454254390503528604216343519254174910059080079887096929062309288363863724127559069743084153153569727221314334694993 has 125 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)

28×10172+113

c125

name 名前Warut Roonguthai
date 日付May 3, 2011 13:40:10 UTC 2011 年 5 月 3 日 (火) 22 時 40 分 10 秒 (日本時間)
composite number 合成数
57424134866100226491057356703752750366690494083619071020321898599254044768191161167909452040776559212162215278603668773901077<125>
prime factors 素因数
999339518006076797017819255297179947628173<42>
57462087540253802961142454697654819786590966603960822596501021894448946793419182249<83>
factorization results 素因数分解の結果
Number: (28*10^172+11)/3
N = 57424134866100226491057356703752750366690494083619071020321898599254044768191161167909452040776559212162215278603668773901077 (125 digits)
Divisors found:
r1=999339518006076797017819255297179947628173 (pp42)
r2=57462087540253802961142454697654819786590966603960822596501021894448946793419182249 (pp83)
Version: Msieve v. 1.48
Total time: 25.49 hours.
Factorization parameters were as follows:
n: 57424134866100226491057356703752750366690494083619071020321898599254044768191161167909452040776559212162215278603668773901077
Y0: -2069689812414692868221477
Y1: 18962489800309
c0: 21509383851141397511070366985032
c1: 152434595665264584528921862
c2: -1745630596009689149217
c3: -1977364645010664
c4: 6216860420
c5: 1512
skew: 528530.24 
type: gnfs
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 11475511
Relations: 1599196 relations
Pruned matrix : 941445 x 941681
Polynomial selection time: 0.00 hours.
Total sieving time: 24.08 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 1.07 hours.
time per square root: 0.29 hours.
Prototype def-par.txt line would be: gnfs,124,5,65,2000,1e-05,0.28,250,20,50000,3600,5500000,5500000,27,27,53,53,2.5,2.5,100000
total time: 25.49 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJuly 26, 2010 00:31:27 UTC 2010 年 7 月 26 日 (月) 9 時 31 分 27 秒 (日本時間)

28×10173+113

c145

name 名前Warut Roonguthai
date 日付September 30, 2011 06:35:58 UTC 2011 年 9 月 30 日 (金) 15 時 35 分 58 秒 (日本時間)
composite number 合成数
6973427275821815488296240281214319628180500698900976269891804403725025420770251352065573136712058929941158434141975199058185859746866357528750477<145>
prime factors 素因数
156484508606712602509919473067910982258580493975879586385431684327<66>
44563051882329785035227708587325924081446742070776418654107156051183411222297451<80>
factorization results 素因数分解の結果
N = 6973427275821815488296240281214319628180500698900976269891804403725025420770251352065573136712058929941158434141975199058185859746866357528750477 (145 digits)
SNFS difficulty: 175 digits.
Divisors found:
r1=156484508606712602509919473067910982258580493975879586385431684327 (pp66)
r2=44563051882329785035227708587325924081446742070776418654107156051183411222297451 (pp80)
Version: Msieve v. 1.47
Total time: 32.01 hours.
Factorization parameters were as follows:
name: (28*10^173+11)/3
n: 6973427275821815488296240281214319628180500698900976269891804403725025420770251352065573136712058929941158434141975199058185859746866357528750477
Y0: 20000000000000000000000000000000000
Y1: -1
c0: 11
c1: 0
c2: 0
c3: 0
c4: 0
c5: 875
skew: 0.42
type: snfs
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20277343
Relations: 2139662 relations
Pruned matrix : 1219203 x 1219429
Polynomial selection time: 0.00 hours.
Total sieving time: 28.41 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 3.14 hours.
time per square root: 0.31 hours.
Prototype def-par.txt line would be: snfs,175,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,55,55,2.5,2.5,100000
total time: 32.01 hours.
Intel64 Family 6 Model 37 Stepping 5, GenuineIntel
Windows-7-6.1.7600
processors: 4, speed: 2.53GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJuly 27, 2010 12:33:03 UTC 2010 年 7 月 27 日 (火) 21 時 33 分 3 秒 (日本時間)

28×10174+113

c151

name 名前Warut Roonguthai
date 日付November 6, 2011 16:12:11 UTC 2011 年 11 月 7 日 (月) 1 時 12 分 11 秒 (日本時間)
composite number 合成数
4234976871222096375070383054875449277945904864464960195704699537828645641887133226376638586914687040062425456653508329889478575459364966529678639184481<151>
prime factors 素因数
40719635992131883657035009170335415896052941338376706167237<59>
104003308674969651196743123463498163534827483545833678803080344995529457636639887025154399213<93>
factorization results 素因数分解の結果
N = 4234976871222096375070383054875449277945904864464960195704699537828645641887133226376638586914687040062425456653508329889478575459364966529678639184481 (151 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=40719635992131883657035009170335415896052941338376706167237 (pp59)
r2=104003308674969651196743123463498163534827483545833678803080344995529457636639887025154399213 (pp93)
Version: Msieve v. 1.48
Total time: 33.21 hours.
Factorization parameters were as follows:
name: (28*10^174+11)/3
n: 4234976871222096375070383054875449277945904864464960195704699537828645641887133226376638586914687040062425456653508329889478575459364966529678639184481
Y0: 100000000000000000000000000000000000
Y1: -1
c0: 55
c1: 0
c2: 0
c3: 0
c4: 0
c5: 14
skew: 1.31
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20499969
Relations: 2409582 relations
Pruned matrix : 1369564 x 1369789
Polynomial selection time: 0.00 hours.
Total sieving time: 30.44 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.43 hours.
time per square root: 0.23 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 33.21 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJuly 27, 2010 12:32:51 UTC 2010 年 7 月 27 日 (火) 21 時 32 分 51 秒 (日本時間)

28×10175+113

c133

name 名前Warut Roonguthai
date 日付December 11, 2011 15:55:26 UTC 2011 年 12 月 12 日 (月) 0 時 55 分 26 秒 (日本時間)
composite number 合成数
4745731545177873508473198888177823462280857554680221909054641483383195234988550117538879123741318119779766912733258896510762722869759<133>
prime factors 素因数
3295918975315772822828436522070401556424686006264594873455008431<64>
1439881132006043376379495473783660808324098306688756368026402657837489<70>
factorization results 素因数分解の結果
N = 4745731545177873508473198888177823462280857554680221909054641483383195234988550117538879123741318119779766912733258896510762722869759 (133 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=3295918975315772822828436522070401556424686006264594873455008431 (pp64)
r2=1439881132006043376379495473783660808324098306688756368026402657837489 (pp70)
Version: Msieve v. 1.48
Total time: 33.08 hours.
Factorization parameters were as follows:
name: (28*10^175+11)/3
n: 4745731545177873508473198888177823462280857554680221909054641483383195234988550117538879123741318119779766912733258896510762722869759
Y0: 100000000000000000000000000000000000
Y1: -1
c0: 11
c1: 0
c2: 0
c3: 0
c4: 0
c5: 28
skew: 0.83
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20568427
Relations: 2383490 relations
Pruned matrix : 1361440 x 1361667
Polynomial selection time: 0.00 hours.
Total sieving time: 30.61 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.28 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 33.08 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)
403e696330Rich DickersonJuly 27, 2010 11:39:38 UTC 2010 年 7 月 27 日 (火) 20 時 39 分 38 秒 (日本時間)
933Wataru SakaiSeptember 7, 2010 03:15:00 UTC 2010 年 9 月 7 日 (火) 12 時 15 分 0 秒 (日本時間)
4511e64365365Rich DickersonJuly 27, 2010 11:39:38 UTC 2010 年 7 月 27 日 (火) 20 時 39 分 38 秒 (日本時間)
4000Wataru SakaiSeptember 3, 2011 07:36:31 UTC 2011 年 9 月 3 日 (土) 16 時 36 分 31 秒 (日本時間)
5043e610 / 6537Rich DickersonJuly 27, 2010 13:09:40 UTC 2010 年 7 月 27 日 (火) 22 時 9 分 40 秒 (日本時間)

28×10176+113

c172

name 名前Dmitry Domanov
date 日付August 11, 2010 14:12:39 UTC 2010 年 8 月 11 日 (水) 23 時 12 分 39 秒 (日本時間)
composite number 合成数
3493759272499497772104578197195259966884153181379760402980176659442071599605205202207556751752182663716935623742090690504087074463240037483045909244611812150546087052003359<172>
prime factors 素因数
1112067118088478296576748236644540851604910488293135755903151365768911866743<76>
3141680223856351139328364864394498511966032105619012442161571369994199783282256127923661026869913<97>
factorization results 素因数分解の結果
N=3493759272499497772104578197195259966884153181379760402980176659442071599605205202207556751752182663716935623742090690504087074463240037483045909244611812150546087052003359
  ( 172 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=1112067118088478296576748236644540851604910488293135755903151365768911866743 (pp76)
 r2=3141680223856351139328364864394498511966032105619012442161571369994199783282256127923661026869913 (pp97)
Version: Msieve-1.40
Total time: 85.84 hours.
Scaled time: 169.11 units (timescale=1.970).
Factorization parameters were as follows:
n: 3493759272499497772104578197195259966884153181379760402980176659442071599605205202207556751752182663716935623742090690504087074463240037483045909244611812150546087052003359
m: 100000000000000000000000000000000000
deg: 5
c5: 280
c0: 11
skew: 0.52
type: snfs
lss: 1
rlim: 6300000
alim: 6300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 200000Factor base limits: 6300000/6300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3150000, 7550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1415362 x 1415588
Total sieving time: 83.06 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.48 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,177.000,5,0,0,0,0,0,0,0,0,6300000,6300000,28,28,53,53,2.5,2.5,100000
total time: 85.84 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJuly 27, 2010 12:32:22 UTC 2010 年 7 月 27 日 (火) 21 時 32 分 22 秒 (日本時間)

28×10177+113

c178

name 名前Sinkiti Sibata
date 日付July 31, 2010 11:44:58 UTC 2010 年 7 月 31 日 (土) 20 時 44 分 58 秒 (日本時間)
composite number 合成数
9333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337<178>
prime factors 素因数
2375003344481043267149589695577099212875050563042245901129025311488782452733906941<82>
3929819027422354799461478467620234109665773916965396480628636096844115549052812736838306707919757<97>
factorization results 素因数分解の結果
Number: 93337_177
N=9333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337
  ( 178 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=2375003344481043267149589695577099212875050563042245901129025311488782452733906941 (pp82)
 r2=3929819027422354799461478467620234109665773916965396480628636096844115549052812736838306707919757 (pp97)
Version: Msieve-1.40
Total time: 103.77 hours.
Scaled time: 342.96 units (timescale=3.305).
Factorization parameters were as follows:
name: 93337_177
n: 9333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337
m: 100000000000000000000000000000000000
deg: 5
c5: 2800
c0: 11
skew: 0.33
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3300000, 7700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1374526 x 1374774
Total sieving time: 99.45 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 3.88 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,178.000,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time: 103.77 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 860 2.80GHz,Windows 7 64bit,and Cygwin )

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)

28×10180+113

c180

name 名前Robert Backstrom
date 日付September 19, 2010 20:53:09 UTC 2010 年 9 月 20 日 (月) 5 時 53 分 9 秒 (日本時間)
composite number 合成数
717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717949<180>
prime factors 素因数
4021888446273264419379808811288884259762050078375079304338652595559554038780637<79>
178510350930786960299883291651051056024941186474994214934073139579409894722672995892042736753966399777<102>
factorization results 素因数分解の結果
Number: n
N=717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717949
  ( 180 digits)
SNFS difficulty: 181 digits.
Divisors found:

Mon Sep 20 05:38:08 2010  prp79 factor: 4021888446273264419379808811288884259762050078375079304338652595559554038780637
Mon Sep 20 05:38:08 2010  prp102 factor: 178510350930786960299883291651051056024941186474994214934073139579409894722672995892042736753966399777
Mon Sep 20 05:38:08 2010  elapsed time 02:05:03 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.010).
Factorization parameters were as follows:
name: KA_9_3_179_7
n: 717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717948717949
m: 1000000000000000000000000000000000000
deg: 5
c5: 28
c0: 11
skew: 0.83
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 9100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4215321 hash collisions in 40045133 relations
Msieve: matrix is 1013543 x 1013769 (283.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,16000000,16000000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 4015340k/5242880k available (3972k kernel code, 1049604k absent, 177936k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.15 BogoMIPS (lpj=2830578)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830454)
Total of 4 processors activated (22643.87 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)

28×10182+113

c170

name 名前Robert Backstrom
date 日付February 27, 2012 09:25:25 UTC 2012 年 2 月 27 日 (月) 18 時 25 分 25 秒 (日本時間)
composite number 合成数
33212284152688541420862922065962005781166451308245483708740112315980148989529646130318983090725671247418931157739484502948594062633013390108226881106863909893991295834971<170>
prime factors 素因数
1591091750327869082844442947034662987995698982126832736113012925421<67>
20873896270183436118858538743335607863528668918392857469140225994987364016881671092595677509009239368551<104>
factorization results 素因数分解の結果
Number: n
N=33212284152688541420862922065962005781166451308245483708740112315980148989529646130318983090725671247418931157739484502948594062633013390108226881106863909893991295834971
  ( 170 digits)
SNFS difficulty: 183 digits.
Divisors found:

Mon Feb 27 20:22:45 2012  prp67 factor: 1591091750327869082844442947034662987995698982126832736113012925421
Mon Feb 27 20:22:45 2012  prp104 factor: 20873896270183436118858538743335607863528668918392857469140225994987364016881671092595677509009239368551
Mon Feb 27 20:22:45 2012  elapsed time 02:47:42 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.656).
Factorization parameters were as follows:
name: KA_93337_182
n: 33212284152688541420862922065962005781166451308245483708740112315980148989529646130318983090725671247418931157739484502948594062633013390108226881106863909893991295834971
m: 1000000000000000000000000000000000000
#  c170, diff: 183.45
skew: 0.33
deg: 5
c5: 2800
c0: 11
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5848695 hash collisions in 75225276 relations (72067000 unique)
Msieve: matrix is 1019140 x 1019388 (284.3 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 19, 2010 15:36:50 UTC 2010 年 10 月 20 日 (水) 0 時 36 分 50 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 19, 2010 15:36:50 UTC 2010 年 10 月 20 日 (水) 0 時 36 分 50 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 19, 2010 15:36:50 UTC 2010 年 10 月 20 日 (水) 0 時 36 分 50 秒 (日本時間)

28×10185+113

c163

name 名前Rich Dickerson
date 日付August 6, 2010 02:58:45 UTC 2010 年 8 月 6 日 (金) 11 時 58 分 45 秒 (日本時間)
composite number 合成数
3404822986143595323798441739900663822278845636482086138362201574701861470199490206259971789097333911333646804546793036188832065056577664397095439502315071479778551<163>
prime factors 素因数
352444628469718263773437779239<30>
composite cofactor 合成数の残り
9660589809318472153129264487074894847668607416943983532063101681163084088857537678304032314866553675902307665862384606869636781298609<133>
factorization results 素因数分解の結果
********** Factor found in step 2: 352444628469718263773437779239
Found probable prime factor of 30 digits: 352444628469718263773437779239
Composite cofactor 9660589809318472153129264487074894847668607416943983532063101681163084088857537678304032314866553675902307665862384606869636781298609 has 133 digits
software ソフトウェア
GMP-ECM 6.3
execution environment 実行環境
PPC - G5 Mac OS X

c133

name 名前Rich Dickerson
date 日付August 6, 2010 18:07:18 UTC 2010 年 8 月 7 日 (土) 3 時 7 分 18 秒 (日本時間)
composite number 合成数
9660589809318472153129264487074894847668607416943983532063101681163084088857537678304032314866553675902307665862384606869636781298609<133>
prime factors 素因数
1493600122634153091400379397979441<34>
6467989432325968074254594094206273129428192438104788472623648383726494717954252738127958173589266049<100>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1256708749
Step 1 took 24121ms
********** Factor found in step 1: 1493600122634153091400379397979441
Found probable prime factor of 34 digits: 1493600122634153091400379397979441
Probable prime cofactor 6467989432325968074254594094206273129428192438104788472623648383726494717954252738127958173589266049 has 100 digits
software ソフトウェア
GMP-ECM 6.3 [GMP 5.0.1] [ECM]
execution environment 実行環境
PowerPC-G5 @ 2.5 GHz Mac OS X

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)

28×10186+113

c104

name 名前ruffenach timothee
date 日付July 28, 2010 17:09:52 UTC 2010 年 7 月 29 日 (木) 2 時 9 分 52 秒 (日本時間)
composite number 合成数
10208929399191598769187349348243580878587761024015961829766322920403101619057509628339698671087983636581<104>
prime factors 素因数
123933337049072099994673636746562355698451<42>
82374360622189297684592884647162533394956302018331658139614631<62>
factorization results 素因数分解の結果
Number: 93337_186/93337_186
N=10208929399191598769187349348243580878587761024015961829766322920403101619057509628339698671087983636581
  ( 104 digits)
Divisors found:
 r1=123933337049072099994673636746562355698451 (pp42)
 r2=82374360622189297684592884647162533394956302018331658139614631 (pp62)
Version: Msieve v. 1.44
Total time: 34.68 hours.
Scaled time: 53.65 units (timescale=1.547).
Factorization parameters were as follows:
name: 93337_186/93337_186
n: 10208929399191598769187349348243580878587761024015961829766322920403101619057509628339698671087983636581
skew: 15849.77
# norm 7.62e+14
c5: 46800
c4: -1731847461
c3: -63766957567742
c2: 326790075569523956
c1: 4964876443595198036032
c0: 387792190904694826447680
# alpha -6.89
Y1: 159895205021
Y0: -46532663963752219097
# Murphy_E 2.27e-09
# M 6222943077923857272729627428288791103227766770705488416985026075231255491423951036204468380496342499971
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 2250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 242438 x 242663
Polynomial selection time: 0.64 hours.
Total sieving time: 33.78 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 34.68 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
3025e40--
351e6118 / 904Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)

28×10187+113

c185

name 名前Dmitry Domanov
date 日付September 18, 2010 07:06:00 UTC 2010 年 9 月 18 日 (土) 16 時 6 分 0 秒 (日本時間)
composite number 合成数
23670639952658720094682559810634880378730239242539521514920956970158086059683827880632344238735311522529376954941246090117507819764984360470031279059937441880125116239749767520500464959<185>
prime factors 素因数
3343261464627562406293178609867465047318304440374701<52>
63892857925414045970309940129206090073889705529860859<53>
110812140106025313466764425070152533281188099454715779354843026150937927014095201<81>
factorization results 素因数分解の結果
Number: 185s
N=23670639952658720094682559810634880378730239242539521514920956970158086059683827880632344238735311522529376954941246090117507819764984360470031279059937441880125116239749767520500464959
  ( 185 digits)
SNFS difficulty: 188 digits.
Divisors found:
 r1=3343261464627562406293178609867465047318304440374701 (pp52)
 r2=63892857925414045970309940129206090073889705529860859 (pp53)
 r3=110812140106025313466764425070152533281188099454715779354843026150937927014095201 (pp81)
Version: Msieve-1.40
Total time: 249.42 hours.
Scaled time: 483.63 units (timescale=1.939).
Factorization parameters were as follows:
n: 23670639952658720094682559810634880378730239242539521514920956970158086059683827880632344238735311522529376954941246090117507819764984360470031279059937441880125116239749767520500464959
m: 10000000000000000000000000000000000000
deg: 5
c5: 2800
c0: 11
skew: 0.33
type: snfs
lss: 1
rlim: 9700000
alim: 9700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor base limits: 9700000/9700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4850000, 8750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1859836 x 1860061
Total sieving time: 243.61 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 4.95 hours.
Time per square root: 0.64 hours.
Prototype def-par.txt line would be:
snfs,188.000,5,0,0,0,0,0,0,0,0,9700000,9700000,28,28,54,54,2.5,2.5,100000
total time: 249.42 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
351e6118Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJuly 27, 2010 12:32:35 UTC 2010 年 7 月 27 日 (火) 21 時 32 分 35 秒 (日本時間)

28×10189+113

c159

name 名前Ignacio Santos
date 日付October 19, 2010 15:35:58 UTC 2010 年 10 月 20 日 (水) 0 時 35 分 58 秒 (日本時間)
composite number 合成数
617719098490551884245182163268884877618330522684199267637619649058605494910340395646961012469714875204763059243707251719322606634141952016087310747300091585701<159>
prime factors 素因数
9733903024269708447290737033382157553<37>
composite cofactor 合成数の残り
63460576600196467158287182709790930381215297906276651138916638973082800450459589039913096856250974351838214910731299984117<122>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=18576162
Step 1 took 24039ms
Step 2 took 12683ms
********** Factor found in step 2: 9733903024269708447290737033382157553
Found probable prime factor of 37 digits: 9733903024269708447290737033382157553
Composite cofactor 63460576600196467158287182709790930381215297906276651138916638973082800450459589039913096856250974351838214910731299984117 has 122 digits
software ソフトウェア
GMP-ECM 6.3

c122

name 名前Erik Branger
date 日付October 24, 2010 08:37:25 UTC 2010 年 10 月 24 日 (日) 17 時 37 分 25 秒 (日本時間)
composite number 合成数
63460576600196467158287182709790930381215297906276651138916638973082800450459589039913096856250974351838214910731299984117<122>
prime factors 素因数
13264494719528013305708443078626091702666228707947569<53>
4784243798353637293570199258355800830476267683068077388049814303845893<70>
factorization results 素因数分解の結果
Number: 93337_189
N = 63460576600196467158287182709790930381215297906276651138916638973082800450459589039913096856250974351838214910731299984117 (122 digits)
Divisors found:
r1=13264494719528013305708443078626091702666228707947569 (pp53)
r2=4784243798353637293570199258355800830476267683068077388049814303845893 (pp70)
Version: Msieve v. 1.45
Total time: 83.34 hours.
Factorization parameters were as follows:
# Murphy_E = 2.532e-10, selected by Erik Branger
n: 63460576600196467158287182709790930381215297906276651138916638973082800450459589039913096856250974351838214910731299984117
Y0: -706713080604474965588507
Y1: 5849478661723
c0: -923942797698500132104684286842800
c1: 2277590897371238902209999284
c2: 2815161048782394843776
c3: -2448798678143011
c4: -1415644074
c5: 360
skew: 1505925.67
type: gnfs
# selected mechanically
rlim: 5900000
alim: 5900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [2950000, 5050000)
Relations: 10262923
Relations in full relation-set: 1336492 relations
Pruned matrix : 783800 x 784025
Polynomial selection time: 0.00 hours.
Total sieving time: 80.44 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.07 hours.
time per square root: 0.60 hours.
Prototype def-par.txt line would be: gnfs,121,5,65,2000,1e-05,0.28,250,20,50000,3600,5900000,5900000,27,27,52,52,2.5,2.5,100000
total time: 83.34 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 20, 2010 18:23:18 UTC 2010 年 10 月 21 日 (木) 3 時 23 分 18 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 20, 2010 18:23:18 UTC 2010 年 10 月 21 日 (木) 3 時 23 分 18 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 20, 2010 18:23:18 UTC 2010 年 10 月 21 日 (木) 3 時 23 分 18 秒 (日本時間)

28×10190+113

c177

name 名前matsui
date 日付October 1, 2011 10:15:36 UTC 2011 年 10 月 1 日 (土) 19 時 15 分 36 秒 (日本時間)
composite number 合成数
283117288885466731101114757674754922522381692468628004063619179620888429400928552623965674365792390101279130161842279245354157295703032847056920996222062017417536671457269346423<177>
prime factors 素因数
617055858409725342416198096004792613864391<42>
458819546118751433132597750359747328778722625733885653985332289243833981860667236705391186473733582203677324183468418897691543026060753<135>
factorization results 素因数分解の結果
N=283117288885466731101114757674754922522381692468628004063619179620888429400928552623965674365792390101279130161842279245354157295703032847056920996222062017417536671457269346423
  ( 177 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=617055858409725342416198096004792613864391 (pp42)
 r2=458819546118751433132597750359747328778722625733885653985332289243833981860667236705391186473733582203677324183468418897691543026060753 (pp135)
Version: Msieve v. 1.50
Total time:
Scaled time: 78.07 units (timescale=1.641).
Factorization parameters were as follows:
n: 283117288885466731101114757674754922522381692468628004063619179620888429400928552623965674365792390101279130161842279245354157295703032847056920996222062017417536671457269346423
m: 100000000000000000000000000000000000000
deg: 5
c5: 28
c0: 11
skew: 0.83
type: snfs
lss: 1
rlim: 10900000
alim: 10900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 1600000
Factor base limits: 10900000/10900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5450000, 19850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2150500 x 2150579
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,191.000,5,0,0,0,0,0,0,0,0,10900000,10900000,28,28,54,54,2.5,2.5,100000
total time:
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 19, 2010 15:37:28 UTC 2010 年 10 月 20 日 (水) 0 時 37 分 28 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 19, 2010 15:37:28 UTC 2010 年 10 月 20 日 (水) 0 時 37 分 28 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 19, 2010 15:37:28 UTC 2010 年 10 月 20 日 (水) 0 時 37 分 28 秒 (日本時間)

28×10194+113

c167

name 名前Edwin Hall
date 日付December 26, 2020 23:06:39 UTC 2020 年 12 月 27 日 (日) 8 時 6 分 39 秒 (日本時間)
composite number 合成数
72859884801027250768457146521271364614541184818479501311750766449285912852893462258413335210157910885649983524794610067717976595027828097485379101879469099858556979027<167>
prime factors 素因数
162365598151097407351368303790333156993409301315877649604201894173304228849311886353<84>
448739669183023919754180484853474105008047955656205381551872333575215421475511431459<84>
factorization results 素因数分解の結果
p84 factor: 162365598151097407351368303790333156993409301315877649604201894173304228849311886353
p84 factor: 448739669183023919754180484853474105008047955656205381551872333575215421475511431459


Msieve v. 1.54 (SVN 1034)
random seeds: fa7af3b2 a89be5c7
factoring 72859884801027250768457146521271364614541184818479501311750766449285912852893462258413335210157910885649983524794610067717976595027828097485379101879469099858556979027 (167 digits)
searching for 15-digit factors
commencing number field sieve (167-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 55
A1: 0
A2: 0
A3: 0
A4: 0
A5: 14
skew 1.00, size 1.074e-13, alpha 0.966, combined = 2.054e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 2309828 hash collisions in 36801326 relations
added 727126 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 37528452 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1242.1 MB
keeping 40244419 ideals with weight <= 200, target excess is 197874
commencing in-memory singleton removal
begin with 37528452 relations and 40244419 unique ideals
reduce to 14367448 relations and 13136142 ideals in 14 passes
max relations containing the same ideal: 109
removing 2149603 relations and 1749603 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 12217845 relations and 13136142 unique ideals
reduce to 11942112 relations and 11100915 ideals in 10 passes
max relations containing the same ideal: 95
removing 1730677 relations and 1330678 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 10211435 relations and 11100915 unique ideals
reduce to 9992070 relations and 9543227 ideals in 9 passes
max relations containing the same ideal: 85
removing 1035906 relations and 816597 ideals in 219309 cliques
commencing in-memory singleton removal
begin with 8956164 relations and 9543227 unique ideals
reduce to 8865141 relations and 8633686 ideals in 7 passes
max relations containing the same ideal: 80
relations with 0 large ideals: 3983
relations with 1 large ideals: 8006
relations with 2 large ideals: 72916
relations with 3 large ideals: 365199
relations with 4 large ideals: 1096797
relations with 5 large ideals: 2050164
relations with 6 large ideals: 2504451
relations with 7+ large ideals: 2763625
commencing 2-way merge
reduce to 5501483 relation sets and 5270028 unique ideals
commencing full merge
memory use: 621.9 MB
found 2560817 cycles, need 2538228
weight of 2538228 cycles is about 228758691 (90.13/cycle)
distribution of cycle lengths:
1 relations: 215403
2 relations: 217906
3 relations: 226630
4 relations: 219394
5 relations: 211394
6 relations: 194145
7 relations: 181998
8 relations: 164681
9 relations: 147393
10+ relations: 759284
heaviest cycle: 27 relations
commencing cycle optimization
start with 18797003 relations
pruned 640297 relations
memory use: 553.7 MB
distribution of cycle lengths:
1 relations: 215403
2 relations: 223324
3 relations: 235348
4 relations: 226532
5 relations: 219074
6 relations: 200593
7 relations: 187482
8 relations: 168552
9 relations: 150265
10+ relations: 711655
heaviest cycle: 27 relations
RelProcTime: 1007
elapsed time 00:16:48


Msieve v. 1.54 (SVN 1034)
random seeds: 12dd09e3 4b567337
factoring 72859884801027250768457146521271364614541184818479501311750766449285912852893462258413335210157910885649983524794610067717976595027828097485379101879469099858556979027 (167 digits)
searching for 15-digit factors
commencing number field sieve (167-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 55
A1: 0
A2: 0
A3: 0
A4: 0
A5: 14
skew 1.00, size 1.074e-13, alpha 0.966, combined = 2.054e-11 rroots = 1

commencing linear algebra
read 2538228 cycles
cycles contain 8682830 unique relations
read 8682830 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1072.2 MB
read 2538228 cycles
matrix is 2538051 x 2538228 (932.6 MB) with weight 275546727 (108.56/col)
sparse part has weight 216553844 (85.32/col)
filtering completed in 2 passes
matrix is 2537337 x 2537514 (932.5 MB) with weight 275519493 (108.58/col)
sparse part has weight 216543679 (85.34/col)
matrix starts at (0, 0)
matrix is 2537337 x 2537514 (932.5 MB) with weight 275519493 (108.58/col)
sparse part has weight 216543679 (85.34/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2537289 x 2537514 (888.5 MB) with weight 226359021 (89.21/col)
sparse part has weight 207552228 (81.79/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 846.3 MB
linear algebra at 0.1%, ETA 3h15m
checkpointing every 810000 dimensions
lanczos halted after 40127 iterations (dim = 2537286)
recovered 35 nontrivial dependencies
BLanczosTime: 11282
elapsed time 03:08:03


Msieve v. 1.54 (SVN 1034)
random seeds: d892c5c3 87bf95a3
factoring 72859884801027250768457146521271364614541184818479501311750766449285912852893462258413335210157910885649983524794610067717976595027828097485379101879469099858556979027 (167 digits)
searching for 15-digit factors
commencing number field sieve (167-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 55
A1: 0
A2: 0
A3: 0
A4: 0
A5: 14
skew 1.00, size 1.074e-13, alpha 0.966, combined = 2.054e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1269539 cycles
cycles contain 4341730 unique relations
read 4341730 relations
multiplying 4341730 relations
multiply complete, coefficients have about 114.57 million bits
initial square root is modulo 167383891
sqrtTime: 222
p84 factor: 162365598151097407351368303790333156993409301315877649604201894173304228849311886353
p84 factor: 448739669183023919754180484853474105008047955656205381551872333575215421475511431459
elapsed time 00:03:43
software ソフトウェア
CADO-NFS/Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61465465Rich DickersonAugust 6, 2010 10:35:23 UTC 2010 年 8 月 6 日 (金) 19 時 35 分 23 秒 (日本時間)
1000Dmitry DomanovMarch 1, 2012 12:33:35 UTC 2012 年 3 月 1 日 (木) 21 時 33 分 35 秒 (日本時間)
4511e62783315Rich DickersonAugust 6, 2010 15:27:50 UTC 2010 年 8 月 7 日 (土) 0 時 27 分 50 秒 (日本時間)
400Dmitry DomanovMarch 1, 2012 12:33:35 UTC 2012 年 3 月 1 日 (木) 21 時 33 分 35 秒 (日本時間)
2068Edwin HallDecember 22, 2020 21:34:40 UTC 2020 年 12 月 23 日 (水) 6 時 34 分 40 秒 (日本時間)
5043e6440 / 6873200Dmitry DomanovMarch 5, 2012 19:59:08 UTC 2012 年 3 月 6 日 (火) 4 時 59 分 8 秒 (日本時間)
240Dmitry DomanovMay 29, 2012 21:44:28 UTC 2012 年 5 月 30 日 (水) 6 時 44 分 28 秒 (日本時間)

28×10195+113

c187

name 名前Wataru Sakai
date 日付July 27, 2010 12:31:52 UTC 2010 年 7 月 27 日 (火) 21 時 31 分 52 秒 (日本時間)
composite number 合成数
5099069251027862321271683701618098990857755087402808218530707453039146080390602603234635626896995237790378793175239120547493344622424986031113445030379281221725905712847148738905449903991<187>
prime factors 素因数
223646285276666576751337721137014683<36>
composite cofactor 合成数の残り
22799704652907362552479944491456427858498486740745693381079567664023003060198199629186444487718669635232733193225069187207080502065233624120174890369877<152>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2396012522
Step 1 took 18157ms
Step 2 took 7127ms
********** Factor found in step 2: 223646285276666576751337721137014683
Found probable prime factor of 36 digits: 223646285276666576751337721137014683
Composite cofactor 22799704652907362552479944491456427858498486740745693381079567664023003060198199629186444487718669635232733193225069187207080502065233624120174890369877 has 152 digits
software ソフトウェア
GMP-ECM 6.2.3

c152

name 名前Edwin Hall
date 日付December 31, 2020 13:01:38 UTC 2020 年 12 月 31 日 (木) 22 時 1 分 38 秒 (日本時間)
composite number 合成数
22799704652907362552479944491456427858498486740745693381079567664023003060198199629186444487718669635232733193225069187207080502065233624120174890369877<152>
prime factors 素因数
2080748768514110343374313477808279047717078534249713<52>
10957451950909444521411029310268132484401302894252171638704050866318453248763348081669505758860811429<101>
factorization results 素因数分解の結果
p52 factor: 2080748768514110343374313477808279047717078534249713
p101 factor: 10957451950909444521411029310268132484401302894252171638704050866318453248763348081669505758860811429


Msieve v. 1.54 (SVN 1034)
random seeds: c5d1f4f0 e961a316
factoring 22799704652907362552479944491456427858498486740745693381079567664023003060198199629186444487718669635232733193225069187207080502065233624120174890369877 (152 digits)
searching for 15-digit factors
commencing number field sieve (152-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 11
A1: 0
A2: 0
A3: 0
A4: 0
A5: 28
skew 1.00, size 1.063e-13, alpha 1.226, combined = 2.080e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 615144 hash collisions in 36729659 relations
added 728340 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 37457999 unique relations
memory use: 144.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1240.6 MB
keeping 40197076 ideals with weight <= 200, target excess is 197873
commencing in-memory singleton removal
begin with 37457999 relations and 40197076 unique ideals
reduce to 14312494 relations and 13099742 ideals in 15 passes
max relations containing the same ideal: 109
removing 2148524 relations and 1748524 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 12163970 relations and 13099742 unique ideals
reduce to 11886529 relations and 11063511 ideals in 10 passes
max relations containing the same ideal: 94
removing 1728957 relations and 1328957 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 10157572 relations and 11063511 unique ideals
reduce to 9937702 relations and 9507000 ideals in 8 passes
max relations containing the same ideal: 85
removing 968367 relations and 767198 ideals in 201169 cliques
commencing in-memory singleton removal
begin with 8969335 relations and 9507000 unique ideals
reduce to 8890445 relations and 8659353 ideals in 8 passes
max relations containing the same ideal: 81
relations with 0 large ideals: 4030
relations with 1 large ideals: 7836
relations with 2 large ideals: 72011
relations with 3 large ideals: 362253
relations with 4 large ideals: 1090691
relations with 5 large ideals: 2048112
relations with 6 large ideals: 2514183
relations with 7+ large ideals: 2791329
commencing 2-way merge
reduce to 5521997 relation sets and 5290905 unique ideals
commencing full merge
memory use: 624.7 MB
found 2573952 cycles, need 2551105
weight of 2551105 cycles is about 230074004 (90.19/cycle)
distribution of cycle lengths:
1 relations: 217350
2 relations: 219047
3 relations: 228250
4 relations: 221144
5 relations: 213484
6 relations: 195855
7 relations: 182891
8 relations: 165013
9 relations: 147964
10+ relations: 760107
heaviest cycle: 27 relations
commencing cycle optimization
start with 18838112 relations
pruned 644600 relations
memory use: 555.4 MB
distribution of cycle lengths:
1 relations: 217350
2 relations: 224542
3 relations: 237209
4 relations: 228197
5 relations: 221414
6 relations: 202216
7 relations: 188309
8 relations: 168868
9 relations: 150976
10+ relations: 712024
heaviest cycle: 27 relations
RelProcTime: 991
elapsed time 00:16:33


Msieve v. 1.54 (SVN 1034)
random seeds: 1ccbea42 861f4da8
factoring 22799704652907362552479944491456427858498486740745693381079567664023003060198199629186444487718669635232733193225069187207080502065233624120174890369877 (152 digits)
searching for 15-digit factors
commencing number field sieve (152-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 11
A1: 0
A2: 0
A3: 0
A4: 0
A5: 28
skew 1.00, size 1.063e-13, alpha 1.226, combined = 2.080e-11 rroots = 1

commencing linear algebra
read 2551105 cycles
cycles contain 8713278 unique relations
read 8713278 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1056.7 MB
read 2551105 cycles
matrix is 2550927 x 2551105 (938.1 MB) with weight 273368539 (107.16/col)
sparse part has weight 217856793 (85.40/col)
filtering completed in 2 passes
matrix is 2550174 x 2550352 (938.0 MB) with weight 273341047 (107.18/col)
sparse part has weight 217846213 (85.42/col)
matrix starts at (0, 0)
matrix is 2550174 x 2550352 (938.0 MB) with weight 273341047 (107.18/col)
sparse part has weight 217846213 (85.42/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2550126 x 2550352 (891.6 MB) with weight 225239379 (88.32/col)
sparse part has weight 208212301 (81.64/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 849.8 MB
linear algebra at 0.1%, ETA 3h15m
checkpointing every 810000 dimensions
lanczos halted after 40329 iterations (dim = 2550126)
recovered 40 nontrivial dependencies
BLanczosTime: 11336
elapsed time 03:08:57


Msieve v. 1.54 (SVN 1034)
random seeds: 078bf28e a3f052cb
factoring 22799704652907362552479944491456427858498486740745693381079567664023003060198199629186444487718669635232733193225069187207080502065233624120174890369877 (152 digits)
searching for 15-digit factors
commencing number field sieve (152-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 11
A1: 0
A2: 0
A3: 0
A4: 0
A5: 28
skew 1.00, size 1.063e-13, alpha 1.226, combined = 2.080e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1274985 cycles
cycles contain 4354568 unique relations
read 4354568 relations
multiplying 4354568 relations
multiply complete, coefficients have about 117.86 million bits
initial square root is modulo 288201091
GCD is 1, no factor found
reading relations for dependency 2
read 1274842 cycles
cycles contain 4354952 unique relations
read 4354952 relations
multiplying 4354952 relations
multiply complete, coefficients have about 117.87 million bits
initial square root is modulo 288842681
GCD is 1, no factor found
reading relations for dependency 3
read 1275379 cycles
cycles contain 4357770 unique relations
read 4357770 relations
multiplying 4357770 relations
multiply complete, coefficients have about 117.95 million bits
initial square root is modulo 292308811
Newton iteration failed to converge
algebraic square root failed
reading relations for dependency 4
read 1275029 cycles
cycles contain 4359626 unique relations
read 4359626 relations
multiplying 4359626 relations
multiply complete, coefficients have about 117.99 million bits
initial square root is modulo 294414511
GCD is N, no factor found
reading relations for dependency 5
read 1274750 cycles
cycles contain 4356866 unique relations
read 4356866 relations
multiplying 4356866 relations
multiply complete, coefficients have about 117.92 million bits
initial square root is modulo 291273131
GCD is N, no factor found
reading relations for dependency 6
read 1275827 cycles
cycles contain 4358168 unique relations
read 4358168 relations
multiplying 4358168 relations
multiply complete, coefficients have about 117.96 million bits
initial square root is modulo 292916761
sqrtTime: 1371
p52 factor: 2080748768514110343374313477808279047717078534249713
p101 factor: 10957451950909444521411029310268132484401302894252171638704050866318453248763348081669505758860811429
elapsed time 00:22:52
software ソフトウェア
CADO-NFS/Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJuly 27, 2010 12:29:51 UTC 2010 年 7 月 27 日 (火) 21 時 29 分 51 秒 (日本時間)
4511e62560400Dmitry DomanovMarch 1, 2012 12:33:47 UTC 2012 年 3 月 1 日 (木) 21 時 33 分 47 秒 (日本時間)
2160Edwin HallDecember 29, 2020 16:42:16 UTC 2020 年 12 月 30 日 (水) 1 時 42 分 16 秒 (日本時間)
5043e6440 / 6891200Dmitry DomanovMarch 5, 2012 19:59:18 UTC 2012 年 3 月 6 日 (火) 4 時 59 分 18 秒 (日本時間)
240Dmitry DomanovMay 29, 2012 21:45:11 UTC 2012 年 5 月 30 日 (水) 6 時 45 分 11 秒 (日本時間)

28×10199+113

c176

name 名前Dmitry Domanov
date 日付February 26, 2012 07:17:30 UTC 2012 年 2 月 26 日 (日) 16 時 17 分 30 秒 (日本時間)
composite number 合成数
11856228633469359082156712132283000974940364332012286965406028857987649190592890894351100301396557781832061750444371619796232271035498870249991207334115240026643134661070966601<176>
prime factors 素因数
31056378215964076190884272486629036603<38>
381764691008780877993788156030041263026827763459345304483175647847025642825603060603087283570320626789305351757516347303075458335660091467<138>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4208860425
Step 1 took 23710ms
Step 2 took 8991ms
********** Factor found in step 2: 31056378215964076190884272486629036603
Found probable prime factor of 38 digits: 31056378215964076190884272486629036603

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 19, 2010 23:33:02 UTC 2010 年 10 月 20 日 (水) 8 時 33 分 2 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 19, 2010 23:33:02 UTC 2010 年 10 月 20 日 (水) 8 時 33 分 2 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 19, 2010 23:33:02 UTC 2010 年 10 月 20 日 (水) 8 時 33 分 2 秒 (日本時間)

28×10200+113

c163

name 名前Dmitry Domanov
date 日付February 29, 2012 06:38:33 UTC 2012 年 2 月 29 日 (水) 15 時 38 分 33 秒 (日本時間)
composite number 合成数
5604180997903049081387624115116406866162650732509068813939691289945454853193311623988854384624548756607549253968833144807162472359913345450541176628014680260701093<163>
prime factors 素因数
5458336712063111432669238898600601831<37>
1026719547278499102568622497056061964612280474572393114781389372290399433952265606338083894976212200944441758902057138433587603<127>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1433355766
Step 1 took 100098ms
Step 2 took 33304ms
********** Factor found in step 2: 5458336712063111432669238898600601831
Found probable prime factor of 37 digits: 5458336712063111432669238898600601831

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJuly 25, 2010 07:00:00 UTC 2010 年 7 月 25 日 (日) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 20, 2010 05:40:16 UTC 2010 年 10 月 20 日 (水) 14 時 40 分 16 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 20, 2010 05:40:16 UTC 2010 年 10 月 20 日 (水) 14 時 40 分 16 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 20, 2010 05:40:16 UTC 2010 年 10 月 20 日 (水) 14 時 40 分 16 秒 (日本時間)

28×10201+113

c198

name 名前Robert Backstrom
date 日付July 16, 2012 09:32:46 UTC 2012 年 7 月 16 日 (月) 18 時 32 分 46 秒 (日本時間)
composite number 合成数
332182558042970186615415643425751266446002538823836471272140560676703325384679265876546725035887579931428029089701154334389199321398488569360904485650899858822412831737670688448351544055711760448921<198>
prime factors 素因数
681659247210600815749937329955205055638682791558254632609219740848093604786675526385466787<90>
487314680175300720953291048986915414004899093168290382456615001922460375731463108081018078222976906462548883<108>
factorization results 素因数分解の結果
Number: n
N=332182558042970186615415643425751266446002538823836471272140560676703325384679265876546725035887579931428029089701154334389199321398488569360904485650899858822412831737670688448351544055711760448921
  ( 198 digits)
SNFS difficulty: 202 digits.
Divisors found:

Mon Jul 16 19:22:07 2012  prp90 factor: 681659247210600815749937329955205055638682791558254632609219740848093604786675526385466787
Mon Jul 16 19:22:07 2012  prp108 factor: 487314680175300720953291048986915414004899093168290382456615001922460375731463108081018078222976906462548883
Mon Jul 16 19:22:07 2012  elapsed time 05:47:59 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.072).
Factorization parameters were as follows:
name: KA_93337_201
n: 332182558042970186615415643425751266446002538823836471272140560676703325384679265876546725035887579931428029089701154334389199321398488569360904485650899858822412831737670688448351544055711760448921
m: 10000000000000000000000000000000000000000
#  c198, diff: 202.45
skew: 0.523
deg: 5
c5: 280
c0: 11
# Murphy_E = 1.22e-11
type: snfs
lss: 1
rlim: 16600000
alim: 16600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16600000/16600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42500000)
Primes: RFBsize:1067185, AFBsize:1067908,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8349283 hash collisions in 47481073 relations (40170505 unique)
Msieve: matrix is 1988930 x 1989156 (557.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16600000,16600000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.11 BogoMIPS (lpj=2830559)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Total of 4 processors activated (22643.85 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)
403e622001200Serge BatalovFebruary 28, 2012 05:59:56 UTC 2012 年 2 月 28 日 (火) 14 時 59 分 56 秒 (日本時間)
1000Dmitry DomanovMarch 1, 2012 12:33:59 UTC 2012 年 3 月 1 日 (木) 21 時 33 分 59 秒 (日本時間)
4511e6400 / 2235Dmitry DomanovMarch 1, 2012 12:33:59 UTC 2012 年 3 月 1 日 (木) 21 時 33 分 59 秒 (日本時間)
5043e6500 / 7380200Dmitry DomanovMarch 14, 2012 14:46:18 UTC 2012 年 3 月 14 日 (水) 23 時 46 分 18 秒 (日本時間)
300Dmitry DomanovMay 27, 2012 14:23:53 UTC 2012 年 5 月 27 日 (日) 23 時 23 分 53 秒 (日本時間)

28×10202+113

c140

name 名前Warut Roonguthai
date 日付February 24, 2012 19:10:16 UTC 2012 年 2 月 25 日 (土) 4 時 10 分 16 秒 (日本時間)
composite number 合成数
56304094149707235573095993536256010265345017421697909017854855938196253401750004383966331242966610562412559632971937170374258910497936348997<140>
prime factors 素因数
210983445186611492541265898381<30>
266864986017775765417589057885054961664785090072824784148155402259971218271665162434860587206541429398304886937<111>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3771687605
Step 1 took 4929ms
Step 2 took 3900ms
********** Factor found in step 2: 210983445186611492541265898381
Found probable prime factor of 30 digits: 210983445186611492541265898381
Probable prime cofactor 266864986017775765417589057885054961664785090072824784148155402259971218271665162434860587206541429398304886937 has 111 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)

28×10203+113

c188

name 名前Bob Backstrom
date 日付August 14, 2021 12:42:58 UTC 2021 年 8 月 14 日 (土) 21 時 42 分 58 秒 (日本時間)
composite number 合成数
29801385135527037524403822789275330452316977371116030574875297042768311145048242643573757210554634610951199923773893917864643064650407458366372278016306288467560031520727272410438546021791<188>
prime factors 素因数
1011952424072864201258733059164081389321404506982305033541146957<64>
29449393495776863705382964793814805266205796812785100825182596348847366602383466692172320160911102427895968221212960031505563<125>
factorization results 素因数分解の結果
Number: n
N=29801385135527037524403822789275330452316977371116030574875297042768311145048242643573757210554634610951199923773893917864643064650407458366372278016306288467560031520727272410438546021791
  ( 188 digits)
SNFS difficulty: 204 digits.
Divisors found:

Sat Aug 14 22:37:19 2021  p64 factor: 1011952424072864201258733059164081389321404506982305033541146957
Sat Aug 14 22:37:19 2021  p125 factor: 29449393495776863705382964793814805266205796812785100825182596348847366602383466692172320160911102427895968221212960031505563
Sat Aug 14 22:37:19 2021  elapsed time 01:51:13 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 28x10^203+11 = 93(202)7
#
n: 29801385135527037524403822789275330452316977371116030574875297042768311145048242643573757210554634610951199923773893917864643064650407458366372278016306288467560031520727272410438546021791
m: 20000000000000000000000000000000000000000
deg: 5
c5: 875
c0: 11
skew: 0.42
# Murphy_E = 1.059e-11
type: snfs
lss: 1
rlim: 17900000
alim: 17900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17900000/17900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9730890 hash collisions in 69558241 relations (61311029 unique)
Msieve: matrix is 2181535 x 2181764 (751.0 MB)

Sieving start time : 2021/08/14 06:02:11
Sieving end time  : 2021/08/14 20:44:39

Total sieving time: 14hrs 42min 28secs.

Total relation processing time: 1hrs 31min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 41sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17900000,17900000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119240] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5012K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.152638] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.25 BogoMIPS (lpj=12798512)
[    0.150211] smpboot: Total of 16 processors activated (102388.09 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 1, 2012 12:34:09 UTC 2012 年 3 月 1 日 (木) 21 時 34 分 9 秒 (日本時間)
4511e6400 / 2500Dmitry DomanovMarch 1, 2012 12:34:09 UTC 2012 年 3 月 1 日 (木) 21 時 34 分 9 秒 (日本時間)
5043e6500 / 7425200Dmitry DomanovMarch 11, 2012 19:02:36 UTC 2012 年 3 月 12 日 (月) 4 時 2 分 36 秒 (日本時間)
300Dmitry DomanovMay 27, 2012 14:24:33 UTC 2012 年 5 月 27 日 (日) 23 時 24 分 33 秒 (日本時間)

28×10204+113

c194

name 名前Bob Backstrom
date 日付June 15, 2021 06:56:58 UTC 2021 年 6 月 15 日 (火) 15 時 56 分 58 秒 (日本時間)
composite number 合成数
22428857256612095501430641044793743774848304653793856472879843492151081886066827407173953551113645391663776342958959273237976252132537469173214831177461375506487193846753099528956474853883237111<194>
prime factors 素因数
3135263587429746854966013728104173708141154158565738583369974565134872181<73>
7153738954050436169812093539490615321829083220766211867787081141717821163982003113712270934181207967045066556500882089531<121>
factorization results 素因数分解の結果
Number: n
N=22428857256612095501430641044793743774848304653793856472879843492151081886066827407173953551113645391663776342958959273237976252132537469173214831177461375506487193846753099528956474853883237111
  ( 194 digits)
SNFS difficulty: 206 digits.
Divisors found:

Tue Jun 15 16:48:26 2021  p73 factor: 3135263587429746854966013728104173708141154158565738583369974565134872181
Tue Jun 15 16:48:26 2021  p121 factor: 7153738954050436169812093539490615321829083220766211867787081141717821163982003113712270934181207967045066556500882089531
Tue Jun 15 16:48:26 2021  elapsed time 02:39:34 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 28x10^204+11 = 93(203)7
#
n: 22428857256612095501430641044793743774848304653793856472879843492151081886066827407173953551113645391663776342958959273237976252132537469173214831177461375506487193846753099528956474853883237111
m: 100000000000000000000000000000000000000000
deg: 5
c5: 14
c0: 55
skew: 1.31
# Murphy_E = 8.973e-12
type: snfs
lss: 1
rlim: 19100000
alim: 19100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19100000/19100000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 51150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7198712 hash collisions in 54488452 relations (49426844 unique)
Msieve: matrix is 2474962 x 2475188 (863.7 MB)

Sieving start time : 2021/06/14 19:18:39
Sieving end time  : 2021/06/15 14:07:32

Total sieving time: 18hrs 48min 53secs.

Total relation processing time: 2hrs 5min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 9sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19100000,19100000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119993] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241092K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 486144K reserved, 0K cma-reserved)
[    0.154044] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.33 BogoMIPS (lpj=12798672)
[    0.150212] smpboot: Total of 16 processors activated (102389.37 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 1, 2012 12:34:18 UTC 2012 年 3 月 1 日 (木) 21 時 34 分 18 秒 (日本時間)
4511e6400 / 2500Dmitry DomanovMarch 1, 2012 12:34:18 UTC 2012 年 3 月 1 日 (木) 21 時 34 分 18 秒 (日本時間)
5043e6500 / 7425200Dmitry DomanovMarch 14, 2012 14:46:36 UTC 2012 年 3 月 14 日 (水) 23 時 46 分 36 秒 (日本時間)
300Dmitry DomanovMay 27, 2012 14:25:02 UTC 2012 年 5 月 27 日 (日) 23 時 25 分 2 秒 (日本時間)

28×10205+113

c204

name 名前Robert Backstrom
date 日付June 19, 2012 12:18:30 UTC 2012 年 6 月 19 日 (火) 21 時 18 分 30 秒 (日本時間)
composite number 合成数
318543799772468714448236632536973833902161547212741751990898748577929465301478953356086461888509670079635949943117178612059158134243458475540386803185437997724687144482366325369738339021615472127417519909<204>
prime factors 素因数
28659610367597863508473102150391110602365999006601604573334553097945120467860762736517813133<92>
11114728905477712896957065757668836593116328644974663375958206877101920164890787101469071746129478716326758676473<113>
factorization results 素因数分解の結果
Number: n
N=318543799772468714448236632536973833902161547212741751990898748577929465301478953356086461888509670079635949943117178612059158134243458475540386803185437997724687144482366325369738339021615472127417519909
  ( 204 digits)
SNFS difficulty: 206 digits.
Divisors found:

Tue Jun 19 22:12:47 2012  prp92 factor: 28659610367597863508473102150391110602365999006601604573334553097945120467860762736517813133
Tue Jun 19 22:12:47 2012  prp113 factor: 11114728905477712896957065757668836593116328644974663375958206877101920164890787101469071746129478716326758676473
Tue Jun 19 22:12:47 2012  elapsed time 07:41:20 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.094).
Factorization parameters were as follows:
name: KA_93337_205
n: 318543799772468714448236632536973833902161547212741751990898748577929465301478953356086461888509670079635949943117178612059158134243458475540386803185437997724687144482366325369738339021615472127417519909
m: 100000000000000000000000000000000000000000
#  c204, diff: 206.45
skew: 0.83
deg: 5
c5: 28
c0: 11
type: snfs
lss: 1
rlim: 19300000
alim: 19300000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 19300000/19300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43850000)
Primes: RFBsize:1228861, AFBsize:1229601, 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8436010 hash collisions in 45134356 relations (37481067 unique)
Msieve: matrix is 2283191 x 2283416 (640.9 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19300000,19300000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.11 BogoMIPS (lpj=2830559)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Total of 4 processors activated (22643.85 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 1, 2012 12:34:28 UTC 2012 年 3 月 1 日 (木) 21 時 34 分 28 秒 (日本時間)
4511e6400 / 2500Dmitry DomanovMarch 1, 2012 12:34:28 UTC 2012 年 3 月 1 日 (木) 21 時 34 分 28 秒 (日本時間)
5043e6500 / 7425200Dmitry DomanovMarch 20, 2012 20:43:42 UTC 2012 年 3 月 21 日 (水) 5 時 43 分 42 秒 (日本時間)
300Dmitry DomanovMay 27, 2012 20:39:56 UTC 2012 年 5 月 28 日 (月) 5 時 39 分 56 秒 (日本時間)

28×10207+113

c206

name 名前Robert Backstrom
date 日付June 24, 2012 02:44:01 UTC 2012 年 6 月 24 日 (日) 11 時 44 分 1 秒 (日本時間)
composite number 合成数
28197381671701913393756294058408862034239677744209466263846928499496475327291037260825780463242698892245720040281973816717019133937562940584088620342396777442094662638469284994964753272910372608257804632427<206>
prime factors 素因数
754591707231758766304267815144453781055605999<45>
490377172568677687225854251518206329243169830319390643660297646620200775063<75>
76202024477435690039307527270148395192530509650957624535263870839947262634312322064771<86>
factorization results 素因数分解の結果
Number: n
N=28197381671701913393756294058408862034239677744209466263846928499496475327291037260825780463242698892245720040281973816717019133937562940584088620342396777442094662638469284994964753272910372608257804632427
  ( 206 digits)
SNFS difficulty: 208 digits.
Divisors found:

Sun Jun 24 12:37:50 2012  prp45 factor: 754591707231758766304267815144453781055605999
Sun Jun 24 12:37:50 2012  prp75 factor: 490377172568677687225854251518206329243169830319390643660297646620200775063
Sun Jun 24 12:37:50 2012  prp86 factor: 76202024477435690039307527270148395192530509650957624535263870839947262634312322064771
Sun Jun 24 12:37:50 2012  elapsed time 10:12:06 (Msieve 1.44 - dependency 3)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.092).
Factorization parameters were as follows:
name: KA_93337_207
n: 28197381671701913393756294058408862034239677744209466263846928499496475327291037260825780463242698892245720040281973816717019133937562940584088620342396777442094662638469284994964753272910372608257804632427
m: 100000000000000000000000000000000000000000
#  c206, diff: 208.45
skew: 0.33
deg: 5
c5: 2800
c0: 11
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 28
lpba: 28
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 57/57
Sieved  special-q in [100000, 44700000)
Primes: RFBsize:1329943, AFBsize:1331023, 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7831252 hash collisions in 42261969 relations (35166406 unique)
Msieve: matrix is 2503326 x 2503551 (708.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,28,28,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.11 BogoMIPS (lpj=2830559)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Total of 4 processors activated (22643.85 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 1, 2012 12:34:37 UTC 2012 年 3 月 1 日 (木) 21 時 34 分 37 秒 (日本時間)
4511e6400 / 2500Dmitry DomanovMarch 1, 2012 12:34:37 UTC 2012 年 3 月 1 日 (木) 21 時 34 分 37 秒 (日本時間)
5043e6500 / 7425200Dmitry DomanovMarch 20, 2012 20:44:05 UTC 2012 年 3 月 21 日 (水) 5 時 44 分 5 秒 (日本時間)
300Dmitry DomanovMay 27, 2012 20:40:48 UTC 2012 年 5 月 28 日 (月) 5 時 40 分 48 秒 (日本時間)

28×10208+113

c119

name 名前Warut Roonguthai
date 日付February 26, 2012 03:39:03 UTC 2012 年 2 月 26 日 (日) 12 時 39 分 3 秒 (日本時間)
composite number 合成数
36350989295334607801466725973184683453186206897620552981604065791360118642238796934002090214473823666256102067302143281<119>
prime factors 素因数
55890055652379546825692857429187435776382297370929<50>
650401737322065923045773247998195737996850605375653894456947854271489<69>
factorization results 素因数分解の結果
N = 36350989295334607801466725973184683453186206897620552981604065791360118642238796934002090214473823666256102067302143281 (119 digits)
Divisors found:
r1=55890055652379546825692857429187435776382297370929 (pp50)
r2=650401737322065923045773247998195737996850605375653894456947854271489 (pp69)
Version: Msieve v. 1.48
Total time: 12.88 hours.
Factorization parameters were as follows:
n: 36350989295334607801466725973184683453186206897620552981604065791360118642238796934002090214473823666256102067302143281
Y0: -73316316034401409482187
Y1: 4323972352217
c0: -25737726882815657156301014160
c1: 2838367557613692764338992
c2: -53276274475979419313
c3: -1057828238371598
c4: -2828378348
c5: 17160
skew: 96074.43  
type: gnfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10233782
Relations: 1148968 relations
Pruned matrix : 654911 x 655140
Polynomial selection time: 0.00 hours.
Total sieving time: 12.24 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.52 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: gnfs,118,5,63,2000,2.6e-05,0.28,250,20,50000,3600,4000000,4000000,27,27,53,53,2.5,2.5,100000
total time: 12.88 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)

28×10212+113

c190

composite cofactor 合成数の残り
5985713525165419014951162027052389685718921163361002987092962841668502356174253055510365554471869709806786615385460204892036345426724137265119282605314999065304646978241710922875053749229523<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 1, 2012 12:34:51 UTC 2012 年 3 月 1 日 (木) 21 時 34 分 51 秒 (日本時間)
4511e6400 / 2500Dmitry DomanovMarch 1, 2012 12:34:51 UTC 2012 年 3 月 1 日 (木) 21 時 34 分 51 秒 (日本時間)
5043e6500 / 7425200Dmitry DomanovMarch 14, 2012 14:46:59 UTC 2012 年 3 月 14 日 (水) 23 時 46 分 59 秒 (日本時間)
300Dmitry DomanovMay 27, 2012 20:41:14 UTC 2012 年 5 月 28 日 (月) 5 時 41 分 14 秒 (日本時間)

28×10213+113

c211

name 名前Serge Batalov
date 日付December 15, 2014 01:34:32 UTC 2014 年 12 月 15 日 (月) 10 時 34 分 32 秒 (日本時間)
composite number 合成数
9052699644358228257355318461041060459101196249595861623019721952796637568703524086647268024571613320400905269964435822825735531846104106045910119624959586162301972195279663756870352408664726802457161332040090527<211>
prime factors 素因数
3393208714176277790729077875365265754094335385519684722142971<61>
2667887656464370059188879658457936704357937835937108053297676609766909968299129378413703359122871231687734356410110633160362791628292154878048253758637<151>
factorization results 素因数分解の結果
RelProcTime: 1823
BLanczosTime: 18764
sqrtTime: 1654
prp61 factor: 3393208714176277790729077875365265754094335385519684722142971
prp151 factor: 2667887656464370059188879658457936704357937835937108053297676609766909968299129378413703359122871231687734356410110633160362791628292154878048253758637

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 1, 2012 12:35:04 UTC 2012 年 3 月 1 日 (木) 21 時 35 分 4 秒 (日本時間)
4511e6400Dmitry DomanovMarch 1, 2012 12:35:04 UTC 2012 年 3 月 1 日 (木) 21 時 35 分 4 秒 (日本時間)
5043e64120 / 7425200Dmitry DomanovMarch 24, 2012 20:14:11 UTC 2012 年 3 月 25 日 (日) 5 時 14 分 11 秒 (日本時間)
560Dmitry DomanovMay 27, 2012 20:42:36 UTC 2012 年 5 月 28 日 (月) 5 時 42 分 36 秒 (日本時間)
360Dmitry DomanovMay 30, 2012 19:32:27 UTC 2012 年 5 月 31 日 (木) 4 時 32 分 27 秒 (日本時間)
3000Serge BatalovDecember 11, 2014 03:08:26 UTC 2014 年 12 月 11 日 (木) 12 時 8 分 26 秒 (日本時間)

28×10214+113

c175

composite cofactor 合成数の残り
2020923794085494565557387166400403387042856830457762584674275825477092620868829195465341745004559261872001561674044100912576202490049334861750527513952193383675057608543664597<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 1, 2012 12:35:12 UTC 2012 年 3 月 1 日 (木) 21 時 35 分 12 秒 (日本時間)
4511e6400 / 2500Dmitry DomanovMarch 1, 2012 12:35:12 UTC 2012 年 3 月 1 日 (木) 21 時 35 分 12 秒 (日本時間)
5043e6500 / 7425200Dmitry DomanovMarch 11, 2012 19:03:12 UTC 2012 年 3 月 12 日 (月) 4 時 3 分 12 秒 (日本時間)
300Dmitry DomanovMay 27, 2012 20:41:49 UTC 2012 年 5 月 28 日 (月) 5 時 41 分 49 秒 (日本時間)

28×10215+113

c207

name 名前Bob Backstrom
date 日付December 22, 2019 22:49:27 UTC 2019 年 12 月 23 日 (月) 7 時 49 分 27 秒 (日本時間)
composite number 合成数
648036915761737097594901318867534835844092072874842313495520110502180985945290431835129913963631150406610056897347272850868095220212394899929383810740428078101178571615948327084219620731872678538369224410073<207>
prime factors 素因数
5668048072237692761013076336439455931499741943117428141888758816232203339553705925468738191142363<97>
114331584260169857582164550990493323753010985342275101196653160322589894766735570491853510089030310731583182171<111>
factorization results 素因数分解の結果
Number: n
N=648036915761737097594901318867534835844092072874842313495520110502180985945290431835129913963631150406610056897347272850868095220212394899929383810740428078101178571615948327084219620731872678538369224410073
  ( 207 digits)
SNFS difficulty: 217 digits.
Divisors found:

Mon Dec 23 09:38:10 2019  p97 factor: 5668048072237692761013076336439455931499741943117428141888758816232203339553705925468738191142363
Mon Dec 23 09:38:10 2019  p111 factor: 114331584260169857582164550990493323753010985342275101196653160322589894766735570491853510089030310731583182171
Mon Dec 23 09:38:10 2019  elapsed time 07:38:50 (Msieve 1.54 - dependency 5)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.134).
Factorization parameters were as follows:
#
# N = 28x10^215+11 = 93(214)7
#
n: 648036915761737097594901318867534835844092072874842313495520110502180985945290431835129913963631150406610056897347272850868095220212394899929383810740428078101178571615948327084219620731872678538369224410073
m: 1000000000000000000000000000000000000
deg: 6
c6: 14
c0: 55
skew: 1.26
# Murphy_E = 3.187e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 29000000/29000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 83300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9208682 hash collisions in 60936727 relations (53238604 unique)
Msieve: matrix is 3926280 x 3926505 (1373.9 MB)

Sieving start time: 2019/12/21 11:17:18
Sieving end time  : 2019/12/23 01:57:26

Total sieving time: 38hrs 40min 8secs.

Total relation processing time: 6hrs 44min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 35min 12sec.

Prototype def-par.txt line would be:
snfs,217,6,0,0,0,0,0,0,0,0,29000000,29000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149937] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283572K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2428K init, 2388K bss, 419888K reserved, 0K cma-reserved)
[    0.184567] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.57 BogoMIPS (lpj=11977148)
[    0.182215] smpboot: Total of 16 processors activated (95817.18 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 1, 2012 12:35:22 UTC 2012 年 3 月 1 日 (木) 21 時 35 分 22 秒 (日本時間)
4511e6400Dmitry DomanovMarch 1, 2012 12:35:22 UTC 2012 年 3 月 1 日 (木) 21 時 35 分 22 秒 (日本時間)
5043e61100 / 7425200Dmitry DomanovMarch 24, 2012 20:14:28 UTC 2012 年 3 月 25 日 (日) 5 時 14 分 28 秒 (日本時間)
600Dmitry DomanovMay 27, 2012 20:43:10 UTC 2012 年 5 月 28 日 (月) 5 時 43 分 10 秒 (日本時間)
300Dmitry DomanovMay 30, 2012 19:34:04 UTC 2012 年 5 月 31 日 (木) 4 時 34 分 4 秒 (日本時間)

28×10216+113

c178

composite cofactor 合成数の残り
9391582550589928682535219363775489381383480908722740561645023021056303864637322913021602405398526223441319861861247606217675202245278930959867439502721435719222060825661042563297<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 1, 2012 12:35:30 UTC 2012 年 3 月 1 日 (木) 21 時 35 分 30 秒 (日本時間)
4511e6400Dmitry DomanovMarch 1, 2012 12:35:30 UTC 2012 年 3 月 1 日 (木) 21 時 35 分 30 秒 (日本時間)
5043e61100 / 7425200Dmitry DomanovMarch 11, 2012 19:03:37 UTC 2012 年 3 月 12 日 (月) 4 時 3 分 37 秒 (日本時間)
300Dmitry DomanovMay 27, 2012 20:43:38 UTC 2012 年 5 月 28 日 (月) 5 時 43 分 38 秒 (日本時間)
600Dmitry DomanovJune 16, 2012 21:48:43 UTC 2012 年 6 月 17 日 (日) 6 時 48 分 43 秒 (日本時間)

28×10217+113

c201

name 名前Serge Batalov
date 日付February 24, 2012 22:03:03 UTC 2012 年 2 月 25 日 (土) 7 時 3 分 3 秒 (日本時間)
composite number 合成数
745763729166055597550974561189779826880454398311166291019517508076317219891463165604846190877816707369260939851169559251139280404539029677627976385767196308466432461562547089883827380150808432633905193<201>
prime factors 素因数
640385450203778070498747007840637137<36>
1164554455334275533043788921426060609517519539259639663556563904283372516853446579930897451324616826824101995421347730524713312079108098265517231844657197630055600089<166>
factorization results 素因数分解の結果
Using B1=500000, B2=696532002, polynomial Dickson(3), sigma=3631247776
Step 1 took 3028ms
Step 2 took 1988ms
********** Factor found in step 2: 640385450203778070498747007840637137
Found probable prime factor of 36 digits: 640385450203778070498747007840637137
Probable prime cofactor 116455445533... has 166 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)

28×10218+113

c186

composite cofactor 合成数の残り
290548863394614272500834379049066781770938063469863003616795727158207910218347253425395763427854498632244810039860866291049094537113240759003566400820956312383799652211303731485236614197<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 1, 2012 12:35:38 UTC 2012 年 3 月 1 日 (木) 21 時 35 分 38 秒 (日本時間)
4511e6400Dmitry DomanovMarch 1, 2012 12:35:38 UTC 2012 年 3 月 1 日 (木) 21 時 35 分 38 秒 (日本時間)
5043e61100 / 7425200Dmitry DomanovMarch 11, 2012 19:03:50 UTC 2012 年 3 月 12 日 (月) 4 時 3 分 50 秒 (日本時間)
300Dmitry DomanovMay 27, 2012 20:44:08 UTC 2012 年 5 月 28 日 (月) 5 時 44 分 8 秒 (日本時間)
600Dmitry DomanovJune 16, 2012 21:49:28 UTC 2012 年 6 月 17 日 (日) 6 時 49 分 28 秒 (日本時間)

28×10219+113

c190

name 名前Dmitry Domanov
date 日付February 29, 2012 06:39:15 UTC 2012 年 2 月 29 日 (水) 15 時 39 分 15 秒 (日本時間)
composite number 合成数
6531521341905951991424205999535000476710162205274252797671200177137354977640943634592937696027339276131676671947023542798741281176079878908116499895173766432447118184930931124627634288086837<190>
prime factors 素因数
31926599741349468616680836849094975812459<41>
204579297351440365131279720180935841356937846407056479932023387119307475403724063118428379947032696100962975967345358748774155759489963968168006782943<150>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3372984941
Step 1 took 117830ms
Step 2 took 38680ms
********** Factor found in step 2: 31926599741349468616680836849094975812459
Found probable prime factor of 41 digits: 31926599741349468616680836849094975812459

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)

28×10220+113

c194

name 名前Erik Branger
date 日付February 4, 2019 16:34:37 UTC 2019 年 2 月 5 日 (火) 1 時 34 分 37 秒 (日本時間)
composite number 合成数
15847047130418769863482226370907894999146554714205591571230941878889077395628754479771196755725094635249014151044998588517376665663093307298125314148783188050690062579261414370538717440496699501<194>
prime factors 素因数
45651501930878043526257426603286384221800437<44>
9908837548482584559802625064829853333221126727362607<52>
35032454838238532928905268581541292363119501616914966055068133645262937992992265119130587368787639<98>
factorization results 素因数分解の結果
Number: 93337_220
N = 15847047130418769863482226370907894999146554714205591571230941878889077395628754479771196755725094635249014151044998588517376665663093307298125314148783188050690062579261414370538717440496699501 (194 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=45651501930878043526257426603286384221800437 (pp44)
r2=9908837548482584559802625064829853333221126727362607 (pp52)
r3=35032454838238532928905268581541292363119501616914966055068133645262937992992265119130587368787639 (pp98)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 68.56 hours.
Factorization parameters were as follows:
n: 15847047130418769863482226370907894999146554714205591571230941878889077395628754479771196755725094635249014151044998588517376665663093307298125314148783188050690062579261414370538717440496699501
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 28
c0: 11
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Relations: 7294040 relations
Pruned matrix : 6468101 x 6468327
Total pre-computation time approximately 300 CPU-days.
Pre-computation saved approximately 8 G relations.
Total batch smoothness checking time: 32.21 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 35.04 hours.
time per square root: 0.94 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 68.56 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 1, 2012 12:35:48 UTC 2012 年 3 月 1 日 (木) 21 時 35 分 48 秒 (日本時間)
4511e6400Dmitry DomanovMarch 1, 2012 12:35:48 UTC 2012 年 3 月 1 日 (木) 21 時 35 分 48 秒 (日本時間)
5043e61200 / 7425200Dmitry DomanovMarch 14, 2012 14:47:38 UTC 2012 年 3 月 14 日 (水) 23 時 47 分 38 秒 (日本時間)
520Dmitry DomanovMay 27, 2012 20:44:38 UTC 2012 年 5 月 28 日 (月) 5 時 44 分 38 秒 (日本時間)
480Dmitry DomanovJune 16, 2012 21:49:56 UTC 2012 年 6 月 17 日 (日) 6 時 49 分 56 秒 (日本時間)

28×10221+113

c162

name 名前Erik Branger
date 日付August 4, 2020 16:20:15 UTC 2020 年 8 月 5 日 (水) 1 時 20 分 15 秒 (日本時間)
composite number 合成数
298587355688635357900031407951562124793896456708219867788390140836657983092909315233204072282726430453992035018807530544345119264960818682877830222253505395303563<162>
prime factors 素因数
66425104760614931154764445428530914055331653964497<50>
4495098001948129439350756898210017930144327619957526852953311495610053850797284039490373630233945082118324813979<112>
factorization results 素因数分解の結果
Number: 93337_221
N = 298587355688635357900031407951562124793896456708219867788390140836657983092909315233204072282726430453992035018807530544345119264960818682877830222253505395303563 (162 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=66425104760614931154764445428530914055331653964497 (pp50)
r2=4495098001948129439350756898210017930144327619957526852953311495610053850797284039490373630233945082118324813979 (pp112)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 77.98 hours.
Factorization parameters were as follows:
n: 298587355688635357900031407951562124793896456708219867788390140836657983092909315233204072282726430453992035018807530544345119264960818682877830222253505395303563
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 280
c0: 11
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 8452732 relations
Pruned matrix : 7224016 x 7224241
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 37.64 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 39.73 hours.
time per square root: 0.25 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 77.98 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 1, 2012 12:35:56 UTC 2012 年 3 月 1 日 (木) 21 時 35 分 56 秒 (日本時間)
4511e6400Dmitry DomanovMarch 1, 2012 12:35:56 UTC 2012 年 3 月 1 日 (木) 21 時 35 分 56 秒 (日本時間)
5043e61100 / 7425200Dmitry DomanovMarch 5, 2012 19:59:50 UTC 2012 年 3 月 6 日 (火) 4 時 59 分 50 秒 (日本時間)
300Dmitry DomanovMay 28, 2012 19:51:02 UTC 2012 年 5 月 29 日 (火) 4 時 51 分 2 秒 (日本時間)
600Dmitry DomanovJune 16, 2012 21:50:44 UTC 2012 年 6 月 17 日 (日) 6 時 50 分 44 秒 (日本時間)

28×10222+113

c202

name 名前Dmitry Domanov
date 日付February 25, 2012 09:28:00 UTC 2012 年 2 月 25 日 (土) 18 時 28 分 0 秒 (日本時間)
composite number 合成数
8690090472067113058666093077157472875372711907783199960703958022814649241649896409782674248064228908188926139017857291655873299350029454284840113051143127803638303866342883696700237322286319647417193157<202>
prime factors 素因数
8439204109853146908033199472055603451<37>
composite cofactor 合成数の残り
1029728675707824762942090517087359605097838071325113616824887898091821143334641326722686390660747942189898344946720179358207136470688457426983935276793773472282419007<166>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1262547394
Step 1 took 27113ms
Step 2 took 10303ms
********** Factor found in step 2: 8439204109853146908033199472055603451
Found probable prime factor of 37 digits: 8439204109853146908033199472055603451

c166

name 名前Erik Branger
date 日付August 9, 2020 20:06:33 UTC 2020 年 8 月 10 日 (月) 5 時 6 分 33 秒 (日本時間)
composite number 合成数
1029728675707824762942090517087359605097838071325113616824887898091821143334641326722686390660747942189898344946720179358207136470688457426983935276793773472282419007<166>
prime factors 素因数
154323242704995872065893708827206910308475891143<48>
1717385708460033062235192899281045887836843698027350611<55>
3885291627640420224902777535153903306477365139396435586331235059<64>
factorization results 素因数分解の結果
Number: 93337_222
N = 1029728675707824762942090517087359605097838071325113616824887898091821143334641326722686390660747942189898344946720179358207136470688457426983935276793773472282419007 (166 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=154323242704995872065893708827206910308475891143 (pp48)
r2=1717385708460033062235192899281045887836843698027350611 (pp55)
r3=3885291627640420224902777535153903306477365139396435586331235059 (pp64)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 81.09 hours.
Factorization parameters were as follows:
n: 1029728675707824762942090517087359605097838071325113616824887898091821143334641326722686390660747942189898344946720179358207136470688457426983935276793773472282419007
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 2800
c0: 11
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 8618866 relations
Pruned matrix : 7318681 x 7318906
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 39.16 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 40.71 hours.
time per square root: 0.82 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 81.09 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 1, 2012 12:36:04 UTC 2012 年 3 月 1 日 (木) 21 時 36 分 4 秒 (日本時間)
4511e6400Dmitry DomanovMarch 1, 2012 12:36:04 UTC 2012 年 3 月 1 日 (木) 21 時 36 分 4 秒 (日本時間)
5043e61100 / 7425200Dmitry DomanovMarch 5, 2012 20:00:03 UTC 2012 年 3 月 6 日 (火) 5 時 0 分 3 秒 (日本時間)
300Dmitry DomanovMay 28, 2012 19:51:57 UTC 2012 年 5 月 29 日 (火) 4 時 51 分 57 秒 (日本時間)
600Dmitry DomanovJune 16, 2012 21:51:14 UTC 2012 年 6 月 17 日 (日) 6 時 51 分 14 秒 (日本時間)

28×10223+113

c194

name 名前Dmitry Domanov
date 日付February 25, 2012 09:31:23 UTC 2012 年 2 月 25 日 (土) 18 時 31 分 23 秒 (日本時間)
composite number 合成数
23180322757795098612939841518789623656255501742136276297290461070370871883534148162651688675204081368266097428882371718245544175908445386732096628601034035017817516767970584687373080915995442799<194>
prime factors 素因数
6027627692669671613974461516919<31>
3845679252218114001802690777352700145833687235992526570441037578955030514227442406820765466080450646647708351584337011713206151561838154157048700682396020085912521<163>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3413937735
Step 1 took 27948ms
********** Factor found in step 1: 6027627692669671613974461516919
Found probable prime factor of 31 digits: 6027627692669671613974461516919

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)

28×10224+113

c113

name 名前Warut Roonguthai
date 日付February 25, 2012 08:04:37 UTC 2012 年 2 月 25 日 (土) 17 時 4 分 37 秒 (日本時間)
composite number 合成数
29572984021217513924408566309133369833077593440003047484309257209373406083066204730374123210796645506769626781093<113>
prime factors 素因数
49739879498781503600096260508216519121237015139069519<53>
594552787807657924782566661211885016473539460239522058982347<60>
factorization results 素因数分解の結果
N = 29572984021217513924408566309133369833077593440003047484309257209373406083066204730374123210796645506769626781093 (113 digits)
Divisors found:
r1=49739879498781503600096260508216519121237015139069519 (pp53)
r2=594552787807657924782566661211885016473539460239522058982347 (pp60)
Version: Msieve v. 1.48
Total time: 6.93 hours.
Factorization parameters were as follows:
n: 29572984021217513924408566309133369833077593440003047484309257209373406083066204730374123210796645506769626781093
Y0: -5455441530296885039289
Y1: 865320848911
c0: -47863473168119714198635520
c1: 20635949623579912307316
c2: 592071597971315173
c3: -153139046289240
c4: -515350214
c5: 6120
skew: 35703.42  
type: gnfs
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 8286310
Relations: 631682 relations
Pruned matrix : 385346 x 385572
Polynomial selection time: 0.00 hours.
Total sieving time: 6.71 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.17 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: gnfs,112,5,61,2000,0.00016,0.25,250,15,50000,2800,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 6.93 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)

28×10225+113

c199

composite cofactor 合成数の残り
4350967463784892373883784479791287765728321164583475795390389187705355498505784883010129499545412967494063233008609526035857092486804726118870456253388904277417261671762678186224471817120941554154443<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 1, 2012 12:36:13 UTC 2012 年 3 月 1 日 (木) 21 時 36 分 13 秒 (日本時間)
4511e6400Dmitry DomanovMarch 1, 2012 12:36:13 UTC 2012 年 3 月 1 日 (木) 21 時 36 分 13 秒 (日本時間)
5043e61100 / 7425200Dmitry DomanovMarch 14, 2012 14:48:50 UTC 2012 年 3 月 14 日 (水) 23 時 48 分 50 秒 (日本時間)
300Dmitry DomanovMay 28, 2012 19:52:53 UTC 2012 年 5 月 29 日 (火) 4 時 52 分 53 秒 (日本時間)
600Dmitry DomanovJune 16, 2012 21:51:45 UTC 2012 年 6 月 17 日 (日) 6 時 51 分 45 秒 (日本時間)

28×10226+113

c215

composite cofactor 合成数の残り
22497274656403254252564798867676442542295962433473773136913549682879919305477851011165630200192367343093808187554176118721346728466517868536516702816887048403964960837491449986099560735758763271499619419253181034209<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 1, 2012 12:36:23 UTC 2012 年 3 月 1 日 (木) 21 時 36 分 23 秒 (日本時間)
4511e6400Dmitry DomanovMarch 1, 2012 12:36:23 UTC 2012 年 3 月 1 日 (木) 21 時 36 分 23 秒 (日本時間)
5043e61100 / 7425200Dmitry DomanovMarch 24, 2012 20:15:06 UTC 2012 年 3 月 25 日 (日) 5 時 15 分 6 秒 (日本時間)
300Dmitry DomanovMay 28, 2012 19:53:29 UTC 2012 年 5 月 29 日 (火) 4 時 53 分 29 秒 (日本時間)
600Dmitry DomanovMay 30, 2012 19:34:48 UTC 2012 年 5 月 31 日 (木) 4 時 34 分 48 秒 (日本時間)

28×10227+113

c211

name 名前Dmitry Domanov
date 日付February 25, 2012 09:24:25 UTC 2012 年 2 月 25 日 (土) 18 時 24 分 25 秒 (日本時間)
composite number 合成数
1376182378957313577835401384210791906990625710152683066436496565150717251395589084541068344402695811648227937620053748244151253836164605458699625171751132253971810220152485904013757287414167684062603070286043119<211>
prime factors 素因数
140435548381663843253111624229921599<36>
composite cofactor 合成数の残り
9799387653738792861636153952710774554620425727023362733838633676323697130442666353191975436807318502471149221521195132778852373694408259983507214098848012147024821384379846481<175>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1940596711
Step 1 took 28012ms
Step 2 took 10271ms
********** Factor found in step 2: 140435548381663843253111624229921599
Found probable prime factor of 36 digits: 140435548381663843253111624229921599

c175

name 名前Dmitry Domanov
date 日付June 17, 2012 12:06:59 UTC 2012 年 6 月 17 日 (日) 21 時 6 分 59 秒 (日本時間)
composite number 合成数
9799387653738792861636153952710774554620425727023362733838633676323697130442666353191975436807318502471149221521195132778852373694408259983507214098848012147024821384379846481<175>
prime factors 素因数
46269849276871833994294517870867180079559709581<47>
211787758267824211237070444467321353780255382136237203530825511678189132501006096364575482862589564069571012224642998163318994901<129>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3832604392
Step 1 took 347084ms
Step 2 took 87432ms
********** Factor found in step 2: 46269849276871833994294517870867180079559709581
Found probable prime factor of 47 digits: 46269849276871833994294517870867180079559709581

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 1, 2012 12:36:34 UTC 2012 年 3 月 1 日 (木) 21 時 36 分 34 秒 (日本時間)
4511e6400Dmitry DomanovMarch 1, 2012 12:36:34 UTC 2012 年 3 月 1 日 (木) 21 時 36 分 34 秒 (日本時間)
5043e61120 / 7425200Dmitry DomanovMarch 11, 2012 19:04:26 UTC 2012 年 3 月 12 日 (月) 4 時 4 分 26 秒 (日本時間)
320Dmitry DomanovMay 28, 2012 19:54:00 UTC 2012 年 5 月 29 日 (火) 4 時 54 分 0 秒 (日本時間)
600Dmitry DomanovJune 16, 2012 21:52:24 UTC 2012 年 6 月 17 日 (日) 6 時 52 分 24 秒 (日本時間)

28×10228+113

c223

name 名前Dmitry Domanov
date 日付February 25, 2012 09:36:07 UTC 2012 年 2 月 25 日 (土) 18 時 36 分 7 秒 (日本時間)
composite number 合成数
1281179622343937336772568516685465689803809761481417015776674651618662925256118101699946908831578368911005099598217494791432879983348325422735511585775959478850904505949912557202954272091162885104863865742625015334118604929<223>
prime factors 素因数
4794374528895355389649523298935057<34>
composite cofactor 合成数の残り
267225602551982241232888055556561949350287540024216912548342944463660841828219008296256046628614854330795605809742377498927774399473954602840203851137352749069284851962607609120098000349297<189>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1791111008
Step 1 took 30721ms
Step 2 took 11348ms
********** Factor found in step 2: 4794374528895355389649523298935057
Found probable prime factor of 34 digits: 4794374528895355389649523298935057

c189

name 名前Dmitry Domanov
date 日付March 13, 2012 10:02:21 UTC 2012 年 3 月 13 日 (火) 19 時 2 分 21 秒 (日本時間)
composite number 合成数
267225602551982241232888055556561949350287540024216912548342944463660841828219008296256046628614854330795605809742377498927774399473954602840203851137352749069284851962607609120098000349297<189>
prime factors 素因数
1962167860453029014316495928622778688716887177<46>
composite cofactor 合成数の残り
136188961167820112186652048143471688105920460972503306805829555337535858511375449018674061320682925294663498886326054519486961083912556001659561<144>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1095255144
Step 1 took 416182ms
Step 2 took 109851ms
********** Factor found in step 2: 1962167860453029014316495928622778688716887177
Found probable prime factor of 46 digits: 1962167860453029014316495928622778688716887177

c144

name 名前Dmitry Domanov
date 日付May 29, 2012 06:08:28 UTC 2012 年 5 月 29 日 (火) 15 時 8 分 28 秒 (日本時間)
composite number 合成数
136188961167820112186652048143471688105920460972503306805829555337535858511375449018674061320682925294663498886326054519486961083912556001659561<144>
prime factors 素因数
17226712360388852508164936783565046515467<41>
7905684980320061880530100357813130232404246944924904837603107819406301024506541770648250101980715267483<103>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=310545317
Step 1 took 238986ms
Step 2 took 86324ms
********** Factor found in step 2: 17226712360388852508164936783565046515467
Found probable prime factor of 41 digits: 17226712360388852508164936783565046515467

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 1, 2012 12:36:43 UTC 2012 年 3 月 1 日 (木) 21 時 36 分 43 秒 (日本時間)
4511e6400 / 2500Dmitry DomanovMarch 1, 2012 12:36:43 UTC 2012 年 3 月 1 日 (木) 21 時 36 分 43 秒 (日本時間)
5043e6500 / 7425200Dmitry DomanovMarch 11, 2012 19:04:40 UTC 2012 年 3 月 12 日 (月) 4 時 4 分 40 秒 (日本時間)
300Dmitry DomanovMay 28, 2012 19:52:23 UTC 2012 年 5 月 29 日 (火) 4 時 52 分 23 秒 (日本時間)

28×10229+113

c230

name 名前matsui
date 日付October 13, 2012 23:24:54 UTC 2012 年 10 月 14 日 (日) 8 時 24 分 54 秒 (日本時間)
composite number 合成数
93333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337<230>
prime factors 素因数
55038676052637778113350819539291361689522098364126584268841<59>
1695777224802271552544569409107412966186211003206715924199515205025845600986869647108334890696042541550015465324282444992832243853987230267506255181042185605296769037953457<172>
factorization results 素因数分解の結果
N=93333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337
  ( 230 digits)
SNFS difficulty: 230 digits.
Divisors found:
 r1=55038676052637778113350819539291361689522098364126584268841 (pp59)
 r2=1695777224802271552544569409107412966186211003206715924199515205025845600986869647108334890696042541550015465324282444992832243853987230267506255181042185605296769037953457 (pp172)
Version: Msieve v. 1.51
Total time:
Scaled time: 326.12 units (timescale=1.795).
Factorization parameters were as follows:
n: 93333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337
m: 100000000000000000000000000000000000000
deg: 6
c6: 280
c0: 11
skew: 0.58
# Murphy_E = 1.016e-12
type: snfs
lss: 1
rlim: 49000000
alim: 49000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
qintsize: 160000
Factor base limits: 49000000/49000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved rational special-q in [24500000, 55220001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 6735480 x 6735705
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,230.000,6,0,0,0,0,0,0,0,0,49000000,49000000,30,30,59,59,2.7,2.7,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 1, 2012 12:36:52 UTC 2012 年 3 月 1 日 (木) 21 時 36 分 52 秒 (日本時間)
4511e6400Dmitry DomanovMarch 1, 2012 12:36:52 UTC 2012 年 3 月 1 日 (木) 21 時 36 分 52 秒 (日本時間)
5043e61000 / 7305Dmitry DomanovMarch 14, 2012 14:49:43 UTC 2012 年 3 月 14 日 (水) 23 時 49 分 43 秒 (日本時間)
5511e750 / 17380Dmitry DomanovMay 21, 2012 08:18:24 UTC 2012 年 5 月 21 日 (月) 17 時 18 分 24 秒 (日本時間)

28×10231+113

c230

name 名前Bob Backstrom
date 日付January 17, 2019 22:00:07 UTC 2019 年 1 月 18 日 (金) 7 時 0 分 7 秒 (日本時間)
composite number 合成数
46901172529313232830820770519262981574539363484087102177554438860971524288107202680067001675041876046901172529313232830820770519262981574539363484087102177554438860971524288107202680067001675041876046901172529313232830820770519263<230>
prime factors 素因数
7609878039642266430645161272611010835111607411612643718817708747149450119241739839399226147630901386324121<106>
6163196346247621999786823501202998675357140636873195661862152152635378502738835986867205380823557967475334919483063190478903<124>
factorization results 素因数分解の結果
Number: n
N=46901172529313232830820770519262981574539363484087102177554438860971524288107202680067001675041876046901172529313232830820770519262981574539363484087102177554438860971524288107202680067001675041876046901172529313232830820770519263
  ( 230 digits)
SNFS difficulty: 232 digits.
Divisors found:

Fri Jan 18 08:55:58 2019  p106 factor: 7609878039642266430645161272611010835111607411612643718817708747149450119241739839399226147630901386324121
Fri Jan 18 08:55:58 2019  p124 factor: 6163196346247621999786823501202998675357140636873195661862152152635378502738835986867205380823557967475334919483063190478903
Fri Jan 18 08:55:58 2019  elapsed time 38:21:16 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.121).
Factorization parameters were as follows:
#
# N = 28x10^231+11 = 93(230)7
#
n: 46901172529313232830820770519262981574539363484087102177554438860971524288107202680067001675041876046901172529313232830820770519262981574539363484087102177554438860971524288107202680067001675041876046901172529313232830820770519263
m: 200000000000000000000000000000000000000
deg: 6
c6: 875
c0: 22
skew: 0.54
# Murphy_E = 7.311e-13
type: snfs
lss: 1
rlim: 53000000
alim: 53000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
Factor base limits: 53000000/53000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved  special-q in [100000, 131300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 22083100 hash collisions in 113148204 relations (92700374 unique)
Msieve: matrix is 8402025 x 8402250 (2947.0 MB)

Sieving start time: 2019/01/13 14:54:01
Sieving end time  : 2019/01/16 18:31:15

Total sieving time: 75hrs 37min 14secs.

Total relation processing time: 36hrs 55min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 43min 16sec.

Prototype def-par.txt line would be:
snfs,232,6,0,0,0,0,0,0,0,0,53000000,53000000,30,30,60,60,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285120K/16703460K available (12300K kernel code, 2472K rwdata, 4252K rodata, 2408K init, 2416K bss, 418340K reserved, 0K cma-reserved)
[    0.080545] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.82 BogoMIPS (lpj=11977644)
[    0.078213] smpboot: Total of 16 processors activated (95821.15 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 1, 2012 12:37:01 UTC 2012 年 3 月 1 日 (木) 21 時 37 分 1 秒 (日本時間)
4511e6400Dmitry DomanovMarch 1, 2012 12:37:01 UTC 2012 年 3 月 1 日 (木) 21 時 37 分 1 秒 (日本時間)
5043e61160 / 7425200Dmitry DomanovMarch 24, 2012 20:15:43 UTC 2012 年 3 月 25 日 (日) 5 時 15 分 43 秒 (日本時間)
960Dmitry DomanovMay 28, 2012 19:54:56 UTC 2012 年 5 月 29 日 (火) 4 時 54 分 56 秒 (日本時間)

28×10232+113

c221

composite cofactor 合成数の残り
25029318410240237135349562822389292959910219597884881561240935920666428803770976297872427777065770141023388223011125593915928013307518889245437411234619397025286443020259499748687772630100010653493846493474286658584513339<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 1, 2012 12:37:10 UTC 2012 年 3 月 1 日 (木) 21 時 37 分 10 秒 (日本時間)
4511e6400Dmitry DomanovMarch 1, 2012 12:37:10 UTC 2012 年 3 月 1 日 (木) 21 時 37 分 10 秒 (日本時間)
5043e61100 / 7425200Dmitry DomanovMarch 24, 2012 20:15:59 UTC 2012 年 3 月 25 日 (日) 5 時 15 分 59 秒 (日本時間)
300Dmitry DomanovMay 28, 2012 19:55:35 UTC 2012 年 5 月 29 日 (火) 4 時 55 分 35 秒 (日本時間)
600Dmitry DomanovMay 30, 2012 19:36:21 UTC 2012 年 5 月 31 日 (木) 4 時 36 分 21 秒 (日本時間)

28×10233+113

c135

name 名前Erik Branger
date 日付April 28, 2012 19:13:34 UTC 2012 年 4 月 29 日 (日) 4 時 13 分 34 秒 (日本時間)
composite number 合成数
432281677711850016169582320694481564633881985775250138284641898837907489029039192031106233862815716283244949958758006825214754754329521<135>
prime factors 素因数
29417914115154027869974868154839366878618657687459033423<56>
14694504716402346220792861039336646639720222156087562766570890095521397165097727<80>
factorization results 素因数分解の結果
Number: 93337_233
N = 432281677711850016169582320694481564633881985775250138284641898837907489029039192031106233862815716283244949958758006825214754754329521 (135 digits)
Divisors found:
r1=29417914115154027869974868154839366878618657687459033423 (pp56)
r2=14694504716402346220792861039336646639720222156087562766570890095521397165097727 (pp80)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 199.67 hours.
Factorization parameters were as follows:
# Murphy_E = 4.504e-11, selected by Erik Branger
n: 432281677711850016169582320694481564633881985775250138284641898837907489029039192031106233862815716283244949958758006825214754754329521
Y0: -209155060323030880308037289
Y1: 32736662738279
c0: 185953154362436440657357349656886328
c1: 148821097439543544169828074488
c2: -157511285186067128829176
c3: -55825584152906317
c4: 18918833466
c5: 1080
skew: 3167929.77
type: gnfs
# selected mechanically
rlim: 13100000
alim: 13100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 13100000/13100000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [6550000, 14750000)
Relations: 20843888
Relations in full relation-set: 3228334 relations
Pruned matrix : 1935116 x 1935342
Polynomial selection time: 0.00 hours.
Total sieving time: 195.60 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 3.81 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: gnfs,134,5,65,2000,1e-05,0.28,250,20,50000,3600,13100000,13100000,28,28,54,54,2.6,2.6,100000
total time: 199.67 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)
403e62500Warut RoonguthaiFebruary 28, 2012 06:20:08 UTC 2012 年 2 月 28 日 (火) 15 時 20 分 8 秒 (日本時間)
4511e63400400Dmitry DomanovMarch 1, 2012 12:37:19 UTC 2012 年 3 月 1 日 (木) 21 時 37 分 19 秒 (日本時間)
3000Wataru SakaiApril 15, 2012 02:07:43 UTC 2012 年 4 月 15 日 (日) 11 時 7 分 43 秒 (日本時間)
5043e6200 / 6695Dmitry DomanovMarch 5, 2012 20:00:32 UTC 2012 年 3 月 6 日 (火) 5 時 0 分 32 秒 (日本時間)

28×10234+113

c227

name 名前Dmitry Domanov
date 日付May 29, 2012 06:09:31 UTC 2012 年 5 月 29 日 (火) 15 時 9 分 31 秒 (日本時間)
composite number 合成数
56547036825912392043401353299437706565441977607563253419465456700638369394459169528446565472634179671015923437557862891421693947148429163808693595161300755769524965287541187473192286807265501765799367805340008517155077459514427<227>
prime factors 素因数
618761141458129316547164223348332193424800173<45>
91387504866025671929159441924829318072358458340721302425897371679105044721879781633446015096189300873265896084529693260421563824784376717826623279459970878441658672276065459294360199<182>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=638076576
Step 1 took 480962ms
Step 2 took 115850ms
********** Factor found in step 2: 618761141458129316547164223348332193424800173
Found probable prime factor of 45 digits: 618761141458129316547164223348332193424800173

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 1, 2012 12:37:31 UTC 2012 年 3 月 1 日 (木) 21 時 37 分 31 秒 (日本時間)
4511e6400Dmitry DomanovMarch 1, 2012 12:37:31 UTC 2012 年 3 月 1 日 (木) 21 時 37 分 31 秒 (日本時間)
5043e61160 / 7425200Dmitry DomanovMarch 24, 2012 20:16:11 UTC 2012 年 3 月 25 日 (日) 5 時 16 分 11 秒 (日本時間)
960Dmitry DomanovMay 28, 2012 19:56:21 UTC 2012 年 5 月 29 日 (火) 4 時 56 分 21 秒 (日本時間)

28×10236+113

c184

composite cofactor 合成数の残り
3776469073392838543284208280616136762501741193703618799952565438772382374128654899381638681497737676018369360927950884658208047407525125164010785062719276271477266003246095376617246791<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 1, 2012 12:37:45 UTC 2012 年 3 月 1 日 (木) 21 時 37 分 45 秒 (日本時間)
4511e6400 / 2500Dmitry DomanovMarch 1, 2012 12:37:45 UTC 2012 年 3 月 1 日 (木) 21 時 37 分 45 秒 (日本時間)
5043e6500 / 7425200Dmitry DomanovMarch 11, 2012 19:04:59 UTC 2012 年 3 月 12 日 (月) 4 時 4 分 59 秒 (日本時間)
300Dmitry DomanovMay 29, 2012 21:39:37 UTC 2012 年 5 月 30 日 (水) 6 時 39 分 37 秒 (日本時間)

28×10237+113

c227

composite cofactor 合成数の残り
32557755509683790963225207067157630772856714547890863222978357515471594390281791462620644505651392806395815805662241396690350131699208383975989336159391422672058032753501435705392895000545113866785180255752062679149068369140341<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 1, 2012 12:37:54 UTC 2012 年 3 月 1 日 (木) 21 時 37 分 54 秒 (日本時間)
4511e6400 / 465Dmitry DomanovMarch 1, 2012 12:37:54 UTC 2012 年 3 月 1 日 (木) 21 時 37 分 54 秒 (日本時間)
5043e61080 / 7425200Dmitry DomanovMarch 24, 2012 20:16:33 UTC 2012 年 3 月 25 日 (日) 5 時 16 分 33 秒 (日本時間)
880Dmitry DomanovMay 29, 2012 21:41:37 UTC 2012 年 5 月 30 日 (水) 6 時 41 分 37 秒 (日本時間)

28×10238+113

c196

composite cofactor 合成数の残り
5159008718787940040177947805930384182399296234222512560820877192983342745914223716403861582885124678030492697480853647322400555329869255093316429183757435826077277104764251464328531867733679277743<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 1, 2012 12:38:05 UTC 2012 年 3 月 1 日 (木) 21 時 38 分 5 秒 (日本時間)
4511e6400 / 2500Dmitry DomanovMarch 1, 2012 12:38:05 UTC 2012 年 3 月 1 日 (木) 21 時 38 分 5 秒 (日本時間)
5043e6500 / 7425200Dmitry DomanovMarch 14, 2012 14:50:56 UTC 2012 年 3 月 14 日 (水) 23 時 50 分 56 秒 (日本時間)
300Dmitry DomanovMay 29, 2012 21:40:35 UTC 2012 年 5 月 30 日 (水) 6 時 40 分 35 秒 (日本時間)

28×10239+113

c231

composite cofactor 合成数の残り
132607095288283349904060407571731188850867357869396185039859496065045493901451522858203390100286853674685217529394952416179469347049678189430304148342727569714769148687872344565039741192539371127457739613995022664002027678802324291<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 1, 2012 12:38:13 UTC 2012 年 3 月 1 日 (木) 21 時 38 分 13 秒 (日本時間)
4511e6400Dmitry DomanovMarch 1, 2012 12:38:13 UTC 2012 年 3 月 1 日 (木) 21 時 38 分 13 秒 (日本時間)
5043e61100 / 7425200Dmitry DomanovMarch 24, 2012 20:16:53 UTC 2012 年 3 月 25 日 (日) 5 時 16 分 53 秒 (日本時間)
900Domanov DmitryMay 4, 2012 22:18:19 UTC 2012 年 5 月 5 日 (土) 7 時 18 分 19 秒 (日本時間)

28×10241+113

c211

name 名前Serge Batalov
date 日付February 24, 2012 22:13:19 UTC 2012 年 2 月 25 日 (土) 7 時 13 分 19 秒 (日本時間)
composite number 合成数
8444533295559107592413093952910712794533206821270331044132225321777688860496806694565591759163741593047497040584176248050436241106196383418614056005591117008414002458322303468828371987679065369030995625447882659<211>
prime factors 素因数
30745239586150127016830306267<29>
composite cofactor 合成数の残り
274661489363157681602879482401325097902543628283462415055754491119109722114648417071481061923094932597231088761569035322228345262936394171850611913261008033467605531436053137179260377<183>
factorization results 素因数分解の結果
Using B1=500000, B2=696532002, polynomial Dickson(3), sigma=2070255491
Step 1 took 3029ms
********** Factor found in step 1: 30745239586150127016830306267
Found probable prime factor of 29 digits: 30745239586150127016830306267
Composite cofactor 274661489363... has 183 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 1, 2012 12:38:24 UTC 2012 年 3 月 1 日 (木) 21 時 38 分 24 秒 (日本時間)
4511e6400 / 2500Dmitry DomanovMarch 1, 2012 12:38:24 UTC 2012 年 3 月 1 日 (木) 21 時 38 分 24 秒 (日本時間)
5043e6500 / 7425200Dmitry DomanovMarch 11, 2012 19:05:24 UTC 2012 年 3 月 12 日 (月) 4 時 5 分 24 秒 (日本時間)
300Dmitry DomanovMay 29, 2012 21:42:31 UTC 2012 年 5 月 30 日 (水) 6 時 42 分 31 秒 (日本時間)

28×10243+113

c190

composite cofactor 合成数の残り
8586149720013590648547829151756853379945237917842326752865013601679930730179519553004746622375761506829411564456328442087524276770185119527304672411957726102453094004943301062368700297641767<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 1, 2012 12:38:37 UTC 2012 年 3 月 1 日 (木) 21 時 38 分 37 秒 (日本時間)
4511e6400 / 2500Dmitry DomanovMarch 1, 2012 12:38:37 UTC 2012 年 3 月 1 日 (木) 21 時 38 分 37 秒 (日本時間)
5043e6500 / 7425200Dmitry DomanovMarch 11, 2012 19:05:42 UTC 2012 年 3 月 12 日 (月) 4 時 5 分 42 秒 (日本時間)
300Dmitry DomanovMay 29, 2012 21:43:31 UTC 2012 年 5 月 30 日 (水) 6 時 43 分 31 秒 (日本時間)

28×10244+113

c210

name 名前Dmitry Domanov
date 日付March 1, 2012 06:19:49 UTC 2012 年 3 月 1 日 (木) 15 時 19 分 49 秒 (日本時間)
composite number 合成数
539282887417100679639297151578346296219403643837014002815209220616331968398454202694338993763913146753074641937155757142601772703207084932369489494639129983638141820635722370119338882356102524546574571027501197<210>
prime factors 素因数
118260607687076755519893192062497521199<39>
composite cofactor 合成数の残り
4560122748938252418460411017418048340464285938389424301169497908439485868479390474255625115360026632079644996368167653129566939823853283361913761640795081523643092043942403<172>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1356901680
Step 1 took 136178ms
Step 2 took 42776ms
********** Factor found in step 2: 118260607687076755519893192062497521199
Found probable prime factor of 39 digits: 118260607687076755519893192062497521199

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 1, 2012 06:19:41 UTC 2012 年 3 月 1 日 (木) 15 時 19 分 41 秒 (日本時間)
4511e6400 / 2430Dmitry DomanovMarch 1, 2012 06:19:41 UTC 2012 年 3 月 1 日 (木) 15 時 19 分 41 秒 (日本時間)
5043e6520 / 7425200Dmitry DomanovMarch 5, 2012 20:00:58 UTC 2012 年 3 月 6 日 (火) 5 時 0 分 58 秒 (日本時間)
320Dmitry DomanovMay 29, 2012 21:43:01 UTC 2012 年 5 月 30 日 (水) 6 時 43 分 1 秒 (日本時間)

28×10245+113

c235

composite cofactor 合成数の残り
4434586646303322138560918777028107924016535494675469166436850671588800676048611330385154020686674063734924598268050504275367572821431880259705932925122408282709513345371177131142593209223880682383034889587020066922307833271614608621899<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 1, 2012 12:38:46 UTC 2012 年 3 月 1 日 (木) 21 時 38 分 46 秒 (日本時間)
4511e6400Dmitry DomanovMarch 1, 2012 12:38:46 UTC 2012 年 3 月 1 日 (木) 21 時 38 分 46 秒 (日本時間)
5043e61120 / 7425200Dmitry DomanovMarch 24, 2012 20:17:21 UTC 2012 年 3 月 25 日 (日) 5 時 17 分 21 秒 (日本時間)
800Dmitry DomanovApril 4, 2012 15:04:07 UTC 2012 年 4 月 5 日 (木) 0 時 4 分 7 秒 (日本時間)
120Dmitry DomanovApril 20, 2012 19:51:21 UTC 2012 年 4 月 21 日 (土) 4 時 51 分 21 秒 (日本時間)

28×10248+113

c247

composite cofactor 合成数の残り
1771030993042378241619228336495888678051865907653383934218848829854522454142947501581277672359266287160025300442757748260594560404807084123972169512966476913345983554712207463630613535736875395319418089816571790006325110689437065148640101201771031<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 1, 2012 12:38:56 UTC 2012 年 3 月 1 日 (木) 21 時 38 分 56 秒 (日本時間)
4511e6400Dmitry DomanovMarch 1, 2012 12:38:56 UTC 2012 年 3 月 1 日 (木) 21 時 38 分 56 秒 (日本時間)
5043e61100400Dmitry DomanovMarch 7, 2012 06:57:46 UTC 2012 年 3 月 7 日 (水) 15 時 57 分 46 秒 (日本時間)
480Dmitry DomanovMarch 14, 2012 19:59:34 UTC 2012 年 3 月 15 日 (木) 4 時 59 分 34 秒 (日本時間)
220Dmitry DomanovMarch 24, 2012 20:17:49 UTC 2012 年 3 月 25 日 (日) 5 時 17 分 49 秒 (日本時間)
5511e72635 / 17344yoyo@homeMarch 30, 2013 22:30:12 UTC 2013 年 3 月 31 日 (日) 7 時 30 分 12 秒 (日本時間)

28×10249+113

c225

name 名前Dmitry Domanov
date 日付February 25, 2012 09:35:38 UTC 2012 年 2 月 25 日 (土) 18 時 35 分 38 秒 (日本時間)
composite number 合成数
139382002753211661802105084863370281948455474805632772620315201693862488859239800537245272450822029494878739746349448764543955917035250022325380791235932000426828895209883749048790738485412608667316178362387594335699251052117<225>
prime factors 素因数
9286510491883816450207605138111875640108347<43>
15009082569284569359869703405929485631005884556740979650931213059055824402696038171035140223093095105728946526338364566701736080600124256682729613635331542644498541442574184049684911<182>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2419534287
Step 1 took 30839ms
Step 2 took 11305ms
********** Factor found in step 2: 9286510491883816450207605138111875640108347
Found probable prime factor of 43 digits: 9286510491883816450207605138111875640108347

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 24, 2012 07:00:00 UTC 2012 年 2 月 24 日 (金) 16 時 0 分 0 秒 (日本時間)

28×10251+113

c252

composite cofactor 合成数の残り
933333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352iveliveJanuary 16, 2021 00:39:19 UTC 2021 年 1 月 16 日 (土) 9 時 39 分 19 秒 (日本時間)
4511e664801000Dmitry DomanovMarch 22, 2021 18:29:57 UTC 2021 年 3 月 23 日 (火) 3 時 29 分 57 秒 (日本時間)
1000Dmitry DomanovJune 9, 2021 23:10:11 UTC 2021 年 6 月 10 日 (木) 8 時 10 分 11 秒 (日本時間)
4480Ignacio SantosJune 18, 2021 16:14:58 UTC 2021 年 6 月 19 日 (土) 1 時 14 分 58 秒 (日本時間)

28×10252+113

c250

composite cofactor 合成数の残り
3402600558998663264066107668003402600558998663264066107668003402600558998663264066107668003402600558998663264066107668003402600558998663264066107668003402600558998663264066107668003402600558998663264066107668003402600558998663264066107668003402600559<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 14, 2021 10:42:42 UTC 2021 年 4 月 14 日 (水) 19 時 42 分 42 秒 (日本時間)

28×10255+113

c245

composite cofactor 合成数の残り
22666551103331474796461770526977062718082726693640480256481442973801751159325084061029492776814873343168974207219001512991364104457846429901998034410714043649296221012626530600170916854491306571844242620588831240195937216961565381850190647721931<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 14, 2021 10:42:27 UTC 2021 年 4 月 14 日 (水) 19 時 42 分 27 秒 (日本時間)

28×10258+113

c183

composite cofactor 合成数の残り
240801920206061835616386840253873793349538213186101457203799431539577263017624930587886778765657108315642758901378652462219362144946969041296504650818207530114267121965156914289837861<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 14, 2021 10:42:10 UTC 2021 年 4 月 14 日 (水) 19 時 42 分 10 秒 (日本時間)

28×10259+113

c256

composite cofactor 合成数の残り
1485986615506270332807930922850759179947672042753957766137549289645326837448985548780164201521013442871775276366975008889384217760724312333158199196505808615538112903140208144268071985437331168038550738482276956062560036512813981011213891852016961475796993<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 14, 2021 10:41:51 UTC 2021 年 4 月 14 日 (水) 19 時 41 分 51 秒 (日本時間)

28×10261+113

c262

name 名前ivelive
date 日付January 29, 2021 09:11:14 UTC 2021 年 1 月 29 日 (金) 18 時 11 分 14 秒 (日本時間)
composite number 合成数
9333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337<262>
prime factors 素因数
987804349452417967617128513989689075313<39>
composite cofactor 合成数の残り
9448564726919047896074538138479808536617947968169146178095125165802868655790777823975698680673307535724028771725698017156575508475655750375408327099461329403515883344648203771653343990924917739973158787055983294972855411049<223>
factorization results 素因数分解の結果
prp39 = 987804349452417967617128513989689075313 (curve 51 stg2 B1=3000000 sigma=1099224096 thread=1)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352iveliveJanuary 29, 2021 08:57:28 UTC 2021 年 1 月 29 日 (金) 17 時 57 分 28 秒 (日本時間)

28×10266+113

c231

composite cofactor 合成数の残り
300239003594582277796738827838920182928612989158722235057836420211682502873230033176079144584493775800306883007681845894758233683096157598409562192762613780899186219751024497551570274591280500428072021774681745460286180130257302567<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 14, 2021 10:41:09 UTC 2021 年 4 月 14 日 (水) 19 時 41 分 9 秒 (日本時間)

28×10269+113

c254

composite cofactor 合成数の残り
36741367660481639144397459972434743820966116166099468914327108327180886974800487297120544367955978455101172943342775502068159761274424026634606638140250461142629203919650976094506613043631914209307219670206399082651680472693616804492187069499239055337641<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 14, 2021 10:40:40 UTC 2021 年 4 月 14 日 (水) 19 時 40 分 40 秒 (日本時間)

28×10271+113

c251

name 名前Eric Jeancolas
date 日付April 4, 2021 18:00:31 UTC 2021 年 4 月 5 日 (月) 3 時 0 分 31 秒 (日本時間)
composite number 合成数
34008046234770936125530252761966337006459440578408594526125477765061981498609773977601600123249521318686733615134970249593489303355660035488485823342562299338521955254151432663495982973907782631861829788643368274653278879012155485498675107077944166147<251>
prime factors 素因数
11664628874247074990323969640130465973<38>
composite cofactor 合成数の残り
2915484633193362306710138079833091441667369689196102501636025297253739803718787355297499846500816799580781848072949386326225097795410668663253360029544976096927801020852154971342361126578298153209657212777907348439<214>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 34008046234770936125530252761966337006459440578408594526125477765061981498609773977601600123249521318686733615134970249593489303355660035488485823342562299338521955254151432663495982973907782631861829788643368274653278879012155485498675107077944166147 (251 digits)
Run 131 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2188508768
Step 1 took 5431ms
Step 2 took 2671ms
********** Factor found in step 2: 11664628874247074990323969640130465973
Found prime factor of 38 digits: 11664628874247074990323969640130465973
Composite cofactor 2915484633193362306710138079833091441667369689196102501636025297253739803718787355297499846500816799580781848072949386326225097795410668663253360029544976096927801020852154971342361126578298153209657212777907348439 has 214 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200131Eric JeancolasApril 4, 2021 17:54:12 UTC 2021 年 4 月 5 日 (月) 2 時 54 分 12 秒 (日本時間)
1069Eric JeancolasApril 14, 2021 10:40:21 UTC 2021 年 4 月 14 日 (水) 19 時 40 分 21 秒 (日本時間)

28×10272+113

c226

composite cofactor 合成数の残り
3620251389859748849043004660755030523613629778802322627257949000181724211518380437581045246359532340451940128031521827124262913874134374367366889259887171767194361632370361094986056876035486149906727355657695663285833896909339<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 14, 2021 10:39:40 UTC 2021 年 4 月 14 日 (水) 19 時 39 分 40 秒 (日本時間)

28×10273+113

c241

composite cofactor 合成数の残り
6385721202769697703420029691703604667276821602250156123768723684966684434097017036203731474882910626020037754372746752594419532854426027324248552431704450459704172149189116291034752055598217605505787416362928608783049710075219876705635896679<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 14, 2021 10:39:20 UTC 2021 年 4 月 14 日 (水) 19 時 39 分 20 秒 (日本時間)

28×10274+113

c223

composite cofactor 合成数の残り
3089705914459644919679857485088859032292337257885839885821836928272013338826675264508902215249355028688357243044959492727053741788672382511887439469278662600919238150014677500593820521917416950354668564218917821852802418317<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 14, 2021 10:39:04 UTC 2021 年 4 月 14 日 (水) 19 時 39 分 4 秒 (日本時間)

28×10275+113

c239

composite cofactor 合成数の残り
54788885384922973761200414929995303666755939907951235375313998694905176020759755280232800822549675139554088321940722635168027282665428794765048740014903884309738522009490516743299346035606354323429421229927588016034671562489009959660897313<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 14, 2021 10:38:48 UTC 2021 年 4 月 14 日 (水) 19 時 38 分 48 秒 (日本時間)

28×10278+113

c274

composite cofactor 合成数の残り
3290080524720842542621230654620271831153067471326360712678442804887649625224577371531168225342315253165821233474689293020446675432381207530054298078945482190676616810196429557613422588517853974476025300719235103279152757263734029890381567088854499713880497225169586025617977<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 2, 2021 20:57:22 UTC 2021 年 5 月 3 日 (月) 5 時 57 分 22 秒 (日本時間)

28×10279+113

c214

composite cofactor 合成数の残り
9328577491305931923269853840596959453148572484594520213851694238463382193889751630156499238914695218326102416285433941464050338988009038341930373382598891534645514368791652061215759556219620851598819142226930734721<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 14, 2021 10:38:17 UTC 2021 年 4 月 14 日 (水) 19 時 38 分 17 秒 (日本時間)

28×10282+113

c253

composite cofactor 合成数の残り
4969524339033369074610513298208512473651973596683968318621646580768270751886864909666318479914513739332003642763479281253100140798780127000349256712979346981580389608793102430052777705670734100210587154618905819355973742145333946321956434122109148687839<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 14, 2021 10:37:58 UTC 2021 年 4 月 14 日 (水) 19 時 37 分 58 秒 (日本時間)

28×10283+113

c231

composite cofactor 合成数の残り
683034189829041785008060281120940320354079777627710686357959004126365764354425554325976348378324557375096347423523320061519115120191808475464762102498656591243489859395480423093081679575427655200464085978017960961555340418441430799<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 14, 2021 10:37:43 UTC 2021 年 4 月 14 日 (水) 19 時 37 分 43 秒 (日本時間)

28×10284+113

c272

composite cofactor 合成数の残り
14738847247607831859364689995344505676105270517141149497383865026884710153992656579454482847920189157334205591706342481779055189654764326148890661005874960076408235748394843109845041479752630246972724375781855106696451753124304162448972021646072567625626856289113894955559<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 14, 2021 10:36:35 UTC 2021 年 4 月 14 日 (水) 19 時 36 分 35 秒 (日本時間)

28×10285+113

c280

name 名前Eric Jeancolas
date 日付April 14, 2021 10:35:24 UTC 2021 年 4 月 14 日 (水) 19 時 35 分 24 秒 (日本時間)
composite number 合成数
1963284201445019242639279412994851918237346615792363623793518034903967706218639602513480575441404135251490045062280633666804166678060726764338653342698198974226075120722696133318776983325476690662907818828414359825259291996244237322635678188831058482940848280411955923989208387683<280>
prime factors 素因数
979431830016428107515228510331959727<36>
2004513373240166067941631618096294845526816592082054445576005547295635157819450039999668963592351869086385923359177129586427734367263302397001161204728122570162920129542980071284022464747033213540126471809474710415279541130577984716648694162829<244>
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 1963284201445019242639279412994851918237346615792363623793518034903967706218639602513480575441404135251490045062280633666804166678060726764338653342698198974226075120722696133318776983325476690662907818828414359825259291996244237322635678188831058482940848280411955923989208387683 (280 digits)
Run 242 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1841904158
Step 1 took 7087ms
Step 2 took 3367ms
********** Factor found in step 2: 979431830016428107515228510331959727
Found prime factor of 36 digits: 979431830016428107515228510331959727
Prime cofactor 2004513373240166067941631618096294845526816592082054445576005547295635157819450039999668963592351869086385923359177129586427734367263302397001161204728122570162920129542980071284022464747033213540126471809474710415279541130577984716648694162829 has 244 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6242 / 902Eric JeancolasApril 14, 2021 10:31:16 UTC 2021 年 4 月 14 日 (水) 19 時 31 分 16 秒 (日本時間)

28×10286+113

c228

composite cofactor 合成数の残り
130915588542676475217529268484560082681565827253872214291873272488241517752119155219817219439864912098228204342469740467455192049605041108914643651457219544654860841769062223109735585205800927095562538008134855413523866282744771<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 14, 2021 17:59:42 UTC 2021 年 4 月 15 日 (木) 2 時 59 分 42 秒 (日本時間)

28×10287+113

c240

composite cofactor 合成数の残り
238994505932503351878745594248289946119532629143404152249064141918680857866247672982011651916523212527305734087518642200478613997578170236762425779436025387235593034432304713252316193037084142424127493757104483471871607466818877181053381253<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 14, 2021 17:59:28 UTC 2021 年 4 月 15 日 (木) 2 時 59 分 28 秒 (日本時間)

28×10288+113

c252

composite cofactor 合成数の残り
265322866566749971710596525857241693743087293329674832944145394530574654891544030045644424326712069694658891385761065394870252730502506007070731684277109396872559390207996796264878794814231909521659408910260099775798933575987101516396817190170070702721<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 14, 2021 17:59:15 UTC 2021 年 4 月 15 日 (木) 2 時 59 分 15 秒 (日本時間)

28×10290+113

c228

composite cofactor 合成数の残り
807308779351324800619982656098425976442990683608042159012502660836941029015420836024365145635079391806623863286514418813287527849521311815138822966103452998270964585081977077267790019280068549130121097285589768941922449329391607<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 15, 2021 20:59:55 UTC 2021 年 4 月 16 日 (金) 5 時 59 分 55 秒 (日本時間)

28×10291+113

c258

composite cofactor 合成数の残り
107151945447739771964444099485332905661627784213395503635883611660150435113373212935638849415777034203369863980360843371852464614473597225217325532035735830405503999200740325444224085427281053567261412558650329960575229877248205861683521584552442479277055047<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 15, 2021 20:59:40 UTC 2021 年 4 月 16 日 (金) 5 時 59 分 40 秒 (日本時間)

28×10292+113

c193

composite cofactor 合成数の残り
2673937645201131854091758444378566818342867645209827970945705516859114164238196021376733197773160428783060136848461121472271996442389909999287860959636112032745565400005525488391050852068520381<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e635501200Dmitry DomanovFebruary 1, 2021 14:34:13 UTC 2021 年 2 月 1 日 (月) 23 時 34 分 13 秒 (日本時間)
2350Ignacio SantosMarch 4, 2021 16:27:09 UTC 2021 年 3 月 5 日 (金) 1 時 27 分 9 秒 (日本時間)
4511e64480Ignacio SantosApril 9, 2021 18:40:34 UTC 2021 年 4 月 10 日 (土) 3 時 40 分 34 秒 (日本時間)

28×10293+113

c232

composite cofactor 合成数の残り
1027214090903885079336729976811271207202074351426897865612715184956672742154256252712382934708339934867492416408192555892087182614691736620253690068172822539277974568505522039677000057538433873141218922706136742186390625724222506043<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 2, 2021 21:20:46 UTC 2021 年 5 月 3 日 (月) 6 時 20 分 46 秒 (日本時間)

28×10294+113

c245

composite cofactor 合成数の残り
27674287634391340653579289176382545813091835461410013201759775385871644089693995229484298757247708753589842314485203300678734687992278482615637964452038502289757666192046879797250049116002689355222331385833870812500669862655507906470050949559019<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 15, 2021 20:59:21 UTC 2021 年 4 月 16 日 (金) 5 時 59 分 21 秒 (日本時間)

28×10296+113

c264

composite cofactor 合成数の残り
170777417044701158719945449437022607336837480257651714946444630846677342918055249549064038137773763960753062095822533880431262169333681283352948971508905400451180128051003504746910480174559466525992421312080659801516467988892196387432715419623319011548096894484399<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 15, 2021 20:59:04 UTC 2021 年 4 月 16 日 (金) 5 時 59 分 4 秒 (日本時間)

28×10297+113

c207

composite cofactor 合成数の残り
159404246022963832829460415186849742081808163193861104019805613192917426192501629535658778691802407787342944280398194157314723393094474484669416961324886820483517289851855711572234485243666997121035215709509<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 15, 2021 20:58:51 UTC 2021 年 4 月 16 日 (金) 5 時 58 分 51 秒 (日本時間)

28×10298+113

c275

composite cofactor 合成数の残り
22451345656792434292757544784023030486992637971167840090830516981664345251962200879894464558064004604781536752241490598049479916068249331042090178923295446691323598501636516216520056620555003727253733696151689731637021087823809905509619461150619620432887787933120887273423019<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 15, 2021 20:58:37 UTC 2021 年 4 月 16 日 (金) 5 時 58 分 37 秒 (日本時間)

28×10300+113

c236

name 名前Dmitry Domanov
date 日付June 10, 2021 20:35:53 UTC 2021 年 6 月 11 日 (金) 5 時 35 分 53 秒 (日本時間)
composite number 合成数
28199163284847748572634562851190922426605431959679699506975200821038382337918320301601358963366998531004295282062054372700522338457068662481350306543725558219251653649818036567165382916968877147542901133945617784842268472621637693544371<236>
prime factors 素因数
365148099097698697535359523858930859072351291318997<51>
composite cofactor 合成数の残り
77226646816810638150436995535570832225533694042968955914839893484914475981850613261878685149995031106848609659871337859108026719405574785869882894323747087149709893019036156960058557543<185>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:220698851
Step 1 took 450861ms
Step 2 took 123505ms
********** Factor found in step 2: 365148099097698697535359523858930859072351291318997
Found prime factor of 51 digits: 365148099097698697535359523858930859072351291318997
Composite cofactor 77226646816810638150436995535570832225533694042968955914839893484914475981850613261878685149995031106848609659871337859108026719405574785869882894323747087149709893019036156960058557543 has 185 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovMarch 6, 2021 16:50:09 UTC 2021 年 3 月 7 日 (日) 1 時 50 分 9 秒 (日本時間)
4511e62000Dmitry DomanovMarch 6, 2021 16:50:09 UTC 2021 年 3 月 7 日 (日) 1 時 50 分 9 秒 (日本時間)
5043e6640 / 7059Dmitry DomanovJune 4, 2021 15:30:35 UTC 2021 年 6 月 5 日 (土) 0 時 30 分 35 秒 (日本時間)