Table of contents 目次

10109-613

c96

name 名前KTakahashi
date 日付December 19, 2014 13:02:03 UTC 2014 年 12 月 19 日 (金) 22 時 2 分 3 秒 (日本時間)
composite number 合成数
137882864410833984733828708978006751331764662522795489944942873154836302457890196503535225167803<96>
prime factors 素因数
1286136337151589877185939725411206089067700707<46>
107207035854537467543124658309308750625509602873929<51>
factorization results 素因数分解の結果
Number: 33313_109
N=137882864410833984733828708978006751331764662522795489944942873154836302457890196503535225167803
  ( 96 digits)
SNFS difficulty: 109 digits.
Divisors found:
 r1=1286136337151589877185939725411206089067700707 (pp46)
 r2=107207035854537467543124658309308750625509602873929 (pp51)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.38 hours.
Scaled time: 2.39 units (timescale=1.730).
Factorization parameters were as follows:
n: 137882864410833984733828708978006751331764662522795489944942873154836302457890196503535225167803
m: 5000000000000000000000
c5: 16
c0: -305
skew: 1.80
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 70679 x 70912
Total sieving time: 1.34 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,109.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.38 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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10114-613

c106

name 名前KTakahashi
date 日付December 19, 2014 13:14:36 UTC 2014 年 12 月 19 日 (金) 22 時 14 分 36 秒 (日本時間)
composite number 合成数
5445998494606204123963843645666411777599123612495052786892518541596239694884231060711081736121364337860227<106>
prime factors 素因数
801770938600174239698804107954777<33>
6792461827207739863397603780773370572486570170705786120283472274269985851<73>
factorization results 素因数分解の結果
Number: 33313_114
N=5445998494606204123963843645666411777599123612495052786892518541596239694884231060711081736121364337860227
  ( 106 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=801770938600174239698804107954777 (pp33)
 r2=6792461827207739863397603780773370572486570170705786120283472274269985851 (pp73)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.53 hours.
Scaled time: 2.81 units (timescale=1.838).
Factorization parameters were as follows:
n: 5445998494606204123963843645666411777599123612495052786892518541596239694884231060711081736121364337860227
m: 50000000000000000000000
c5: 16
c0: -305
skew: 1.80
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 97469 x 97695
Total sieving time: 1.48 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,114.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.53 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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10115-613

c112

name 名前KTakahashi
date 日付December 19, 2014 13:16:06 UTC 2014 年 12 月 19 日 (金) 22 時 16 分 6 秒 (日本時間)
composite number 合成数
5437737901033170201196302338227297444263186514410005437737901033170201196302338227297444263186514410005437737901<112>
prime factors 素因数
166225536470944023456363546924283937129<39>
32713011589429754667150559826433748108742308492837881567394586760615644069<74>
factorization results 素因数分解の結果
Number: 33313_115
N=5437737901033170201196302338227297444263186514410005437737901033170201196302338227297444263186514410005437737901
  ( 112 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=166225536470944023456363546924283937129 (pp39)
 r2=32713011589429754667150559826433748108742308492837881567394586760615644069 (pp74)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.49 hours.
Scaled time: 2.59 units (timescale=1.737).
Factorization parameters were as follows:
n: 5437737901033170201196302338227297444263186514410005437737901033170201196302338227297444263186514410005437737901
m: 100000000000000000000000
c5: 1
c0: -61
skew: 2.28
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 74338 x 74565
Total sieving time: 1.45 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,115.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.49 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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10116-613

c97

name 名前KTakahashi
date 日付December 19, 2014 13:16:47 UTC 2014 年 12 月 19 日 (金) 22 時 16 分 47 秒 (日本時間)
composite number 合成数
3712786112758037403311113954211079838709757961553889302433487140711783302719094444234529152391269<97>
prime factors 素因数
360508510069529552844906293527743555552568697<45>
10298747488767935313245387220410068597187035854252877<53>
factorization results 素因数分解の結果
Number: 33313_116
N=3712786112758037403311113954211079838709757961553889302433487140711783302719094444234529152391269
  ( 97 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=360508510069529552844906293527743555552568697 (pp45)
 r2=10298747488767935313245387220410068597187035854252877 (pp53)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.86 hours.
Scaled time: 3.85 units (timescale=2.068).
Factorization parameters were as follows:
n: 3712786112758037403311113954211079838709757961553889302433487140711783302719094444234529152391269
m: 100000000000000000000000
c5: 10
c0: -61
skew: 1.80
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 79135 x 79360
Total sieving time: 1.82 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,116.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.86 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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10121-613

c117

name 名前KTakahashi
date 日付December 19, 2014 13:37:58 UTC 2014 年 12 月 19 日 (金) 22 時 37 分 58 秒 (日本時間)
composite number 合成数
162784262017548143445491689863424004167277107649232472204587260503654506682293955820351288437433868893555371066725269<117>
prime factors 素因数
472375072721314292323325093852944349712583537<45>
344608069769137642959828182848561346394433722302841372607033949610971237<72>
factorization results 素因数分解の結果
Number: 33313_121
N=162784262017548143445491689863424004167277107649232472204587260503654506682293955820351288437433868893555371066725269
  ( 117 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=472375072721314292323325093852944349712583537 (pp45)
 r2=344608069769137642959828182848561346394433722302841372607033949610971237 (pp72)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.88 hours.
Scaled time: 3.27 units (timescale=1.737).
Factorization parameters were as follows:
n: 162784262017548143445491689863424004167277107649232472204587260503654506682293955820351288437433868893555371066725269
m: 1000000000000000000000000
c5: 10
c0: -61
skew: 1.44
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 123986 x 124234
Total sieving time: 1.81 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,121.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.88 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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10122-613

c115

name 名前KTakahashi
date 日付December 19, 2014 13:42:25 UTC 2014 年 12 月 19 日 (金) 22 時 42 分 25 秒 (日本時間)
composite number 合成数
6076086825093339326785377605403245274429803303094472030891311505720544604523002576078531234823074377196543362813899<115>
prime factors 素因数
22464229222194779548432562325406749059853329095216957<53>
270478313099215208991741264015259837222262548272008782868253607<63>
factorization results 素因数分解の結果
Number: 33313_122
N=6076086825093339326785377605403245274429803303094472030891311505720544604523002576078531234823074377196543362813899
  ( 115 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=22464229222194779548432562325406749059853329095216957 (pp53)
 r2=270478313099215208991741264015259837222262548272008782868253607 (pp63)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.43 hours.
Scaled time: 5.03 units (timescale=2.075).
Factorization parameters were as follows:
n: 6076086825093339326785377605403245274429803303094472030891311505720544604523002576078531234823074377196543362813899
m: 1000000000000000000000000
c5: 100
c0: -61
skew: 0.91
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 97318 x 97554
Total sieving time: 2.38 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,122.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.43 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
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 13:41:51 UTC 2014 年 12 月 19 日 (金) 22 時 41 分 51 秒 (日本時間)

10123-613

c98

name 名前KTakahashi
date 日付December 19, 2014 13:47:12 UTC 2014 年 12 月 19 日 (金) 22 時 47 分 12 秒 (日本時間)
composite number 合成数
63714487436632659612653264726191716227128230120369733201896063243630666517627317965683366264934351<98>
prime factors 素因数
1064209613363382713294865652912832474796697301<46>
59870242324974044855750697450918783467255687217772051<53>
factorization results 素因数分解の結果
Number: 33313_123
N=63714487436632659612653264726191716227128230120369733201896063243630666517627317965683366264934351
  ( 98 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=1064209613363382713294865652912832474796697301 (pp46)
 r2=59870242324974044855750697450918783467255687217772051 (pp53)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.15 hours.
Scaled time: 4.46 units (timescale=2.075).
Factorization parameters were as follows:
n: 63714487436632659612653264726191716227128230120369733201896063243630666517627317965683366264934351
m: 2000000000000000000000000
c5: 125
c0: -244
skew: 1.14
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 130636 x 130884
Total sieving time: 2.08 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,123.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.15 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 13:46:31 UTC 2014 年 12 月 19 日 (金) 22 時 46 分 31 秒 (日本時間)

10128-613

c109

name 名前KTakahashi
date 日付December 19, 2014 14:00:19 UTC 2014 年 12 月 19 日 (金) 23 時 0 分 19 秒 (日本時間)
composite number 合成数
2296528743297427014697958511647632480780790266253536060592950345933535620921234192422402830643737258966047559<109>
prime factors 素因数
1045264856892498451208696737265011670171<40>
2197078308099682275680345128330454199259206201551793884600363297810629<70>
factorization results 素因数分解の結果
Number: 33313_128
N=2296528743297427014697958511647632480780790266253536060592950345933535620921234192422402830643737258966047559
  ( 109 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=1045264856892498451208696737265011670171 (pp40)
 r2=2197078308099682275680345128330454199259206201551793884600363297810629 (pp70)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.87 hours.
Scaled time: 4.89 units (timescale=1.705).
Factorization parameters were as follows:
n: 2296528743297427014697958511647632480780790266253536060592950345933535620921234192422402830643737258966047559
m: 20000000000000000000000000
c5: 125
c0: -244
skew: 1.14
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 103869 x 104094
Total sieving time: 2.81 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,128.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 2.87 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
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 13:59:39 UTC 2014 年 12 月 19 日 (金) 22 時 59 分 39 秒 (日本時間)

10129-613

c108

name 名前KTakahashi
date 日付December 19, 2014 14:06:14 UTC 2014 年 12 月 19 日 (金) 23 時 6 分 14 秒 (日本時間)
composite number 合成数
938266439318400424778553126377731253907047904196745212804920409473120859700213285214282526372207696706793373<108>
prime factors 素因数
91375391518586815570843914751808935448708351411132999<53>
10268261768569781034021605762872775487573356126474597627<56>
factorization results 素因数分解の結果
Number: 33313_129
N=938266439318400424778553126377731253907047904196745212804920409473120859700213285214282526372207696706793373
  ( 108 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=91375391518586815570843914751808935448708351411132999 (pp53)
 r2=10268261768569781034021605762872775487573356126474597627 (pp56)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.88 hours.
Scaled time: 5.98 units (timescale=2.075).
Factorization parameters were as follows:
n: 938266439318400424778553126377731253907047904196745212804920409473120859700213285214282526372207696706793373
m: 50000000000000000000000000
c5: 16
c0: -305
skew: 1.80
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 113227 x 113475
Total sieving time: 2.81 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,129.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 2.88 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
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 14:05:29 UTC 2014 年 12 月 19 日 (金) 23 時 5 分 29 秒 (日本時間)

10130-613

c117

name 名前KTakahashi
date 日付December 19, 2014 14:14:26 UTC 2014 年 12 月 19 日 (金) 23 時 14 分 26 秒 (日本時間)
composite number 合成数
539495388214519287779925441094877722489851371988409758160330489648011939006096759986905233220942787575823336744123083<117>
prime factors 素因数
50560302409072831504783461120773<32>
10670335470891272437346312955984750105520771966685044015856652586703472759832831043471<86>
factorization results 素因数分解の結果
Input number is 539495388214519287779925441094877722489851371988409758160330489648011939006096759986905233220942787575823336744123083 (117 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3568554746
Step 1 took 3198ms
Step 2 took 1887ms
********** Factor found in step 2: 50560302409072831504783461120773
Found probable prime factor of 32 digits: 50560302409072831504783461120773
Probable prime cofactor 10670335470891272437346312955984750105520771966685044015856652586703472759832831043471 has 86 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10132-613

c113

name 名前KTakahashi
date 日付December 19, 2014 14:27:05 UTC 2014 年 12 月 19 日 (金) 23 時 27 分 5 秒 (日本時間)
composite number 合成数
14482164001604867076327640148447687029178244858992814180751941723862801775262046737743736141333499591739231642299<113>
prime factors 素因数
74846776072416384704988767639<29>
152168199475717524404692348831483<33>
1271558838604675451041573493961265830368756007044327<52>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 14482164001604867076327640148447687029178244858992814180751941723862801775262046737743736141333499591739231642299 (113 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1888641845
Step 1 took 2776ms
Step 2 took 1810ms
********** Factor found in step 2: 74846776072416384704988767639
Found probable prime factor of 29 digits: 74846776072416384704988767639
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4128687836
Step 1 took 2262ms
********** Factor found in step 1: 152168199475717524404692348831483
Found probable prime factor of 33 digits: 152168199475717524404692348831483
Probable prime cofactor 1271558838604675451041573493961265830368756007044327 has 52 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10133-613

c101

name 名前KTakahashi
date 日付December 19, 2014 14:32:15 UTC 2014 年 12 月 19 日 (金) 23 時 32 分 15 秒 (日本時間)
composite number 合成数
59662389823752164757897066432312488943364240024076680884016501821533334610940711590058320622247723773<101>
prime factors 素因数
25179106946018524391753728263285946748322459764659<50>
2369519695502399445854810305813712087696268384367247<52>
factorization results 素因数分解の結果
Number: 33313_133
N=59662389823752164757897066432312488943364240024076680884016501821533334610940711590058320622247723773
  ( 101 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=25179106946018524391753728263285946748322459764659 (pp50)
 r2=2369519695502399445854810305813712087696268384367247 (pp52)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 4.51 hours.
Scaled time: 7.88 units (timescale=1.747).
Factorization parameters were as follows:
n: 59662389823752164757897066432312488943364240024076680884016501821533334610940711590058320622247723773
m: 200000000000000000000000000
c5: 125
c0: -244
skew: 1.14
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [500000, 1325001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 136063 x 136305
Total sieving time: 4.43 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,133.000,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 4.51 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 14:31:39 UTC 2014 年 12 月 19 日 (金) 23 時 31 分 39 秒 (日本時間)

10135-613

c112

name 名前KTakahashi
date 日付December 19, 2014 14:38:46 UTC 2014 年 12 月 19 日 (金) 23 時 38 分 46 秒 (日本時間)
composite number 合成数
2509207260708556706714424580572604206769761993006211110515698983035576949369306078978715522451889247682432488343<112>
prime factors 素因数
3527632474560578615760166162010230980707<40>
711300646766247218405919120542521232052041711349450760117877637170009149<72>
factorization results 素因数分解の結果
Number: 33313_135
N=2509207260708556706714424580572604206769761993006211110515698983035576949369306078978715522451889247682432488343
  ( 112 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=3527632474560578615760166162010230980707 (pp40)
 r2=711300646766247218405919120542521232052041711349450760117877637170009149 (pp72)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 3.24 hours.
Scaled time: 5.62 units (timescale=1.737).
Factorization parameters were as follows:
n: 2509207260708556706714424580572604206769761993006211110515698983035576949369306078978715522451889247682432488343
m: 1000000000000000000000000000
c5: 1
c0: -61
skew: 2.28
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [500000, 1025001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 123773 x 124011
Total sieving time: 3.16 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,135.000,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
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
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 14:37:58 UTC 2014 年 12 月 19 日 (金) 23 時 37 分 58 秒 (日本時間)

10136-613

c122

name 名前KTakahashi
date 日付December 19, 2014 15:59:57 UTC 2014 年 12 月 20 日 (土) 0 時 59 分 57 秒 (日本時間)
composite number 合成数
74144250910474715482217278250137743564134718487999575379184419864142925982366940345470556301806233905312571658132107123447<122>
prime factors 素因数
104836864493307491311262220749952180517688003452014064609697<60>
707234533089339854683398049082454344360997365011957645952953751<63>
factorization results 素因数分解の結果
Number: 33313_136
N=74144250910474715482217278250137743564134718487999575379184419864142925982366940345470556301806233905312571658132107123447
  ( 122 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=104836864493307491311262220749952180517688003452014064609697 (pp60)
 r2=707234533089339854683398049082454344360997365011957645952953751 (pp63)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 5.21 hours.
Scaled time: 10.85 units (timescale=2.082).
Factorization parameters were as follows:
n: 74144250910474715482217278250137743564134718487999575379184419864142925982366940345470556301806233905312571658132107123447
m: 1000000000000000000000000000
c5: 10
c0: -61
skew: 1.44
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [500000, 1475001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 139132 x 139357
Total sieving time: 5.14 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 5.21 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
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 15:59:22 UTC 2014 年 12 月 20 日 (土) 0 時 59 分 22 秒 (日本時間)

10137-613

c108

name 名前KTakahashi
date 日付December 19, 2014 16:00:44 UTC 2014 年 12 月 20 日 (土) 1 時 0 分 44 秒 (日本時間)
composite number 合成数
150912031972261522227044077910469067352136121482444454845548465347136121885394216599343829775546961682248907<108>
prime factors 素因数
6087804080649289115623450924974051773<37>
24789239268055771431085545735280100050422458537226437887011964824229159<71>
factorization results 素因数分解の結果
Number: 33313_137
N=150912031972261522227044077910469067352136121482444454845548465347136121885394216599343829775546961682248907
  ( 108 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=6087804080649289115623450924974051773 (pp37)
 r2=24789239268055771431085545735280100050422458537226437887011964824229159 (pp71)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 5.84 hours.
Scaled time: 12.12 units (timescale=2.075).
Factorization parameters were as follows:
n: 150912031972261522227044077910469067352136121482444454845548465347136121885394216599343829775546961682248907
m: 1000000000000000000000000000
c5: 100
c0: -61
skew: 0.91
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [500000, 1625001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 155407 x 155632
Total sieving time: 5.75 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,137.000,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 5.84 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 16:00:12 UTC 2014 年 12 月 20 日 (土) 1 時 0 分 12 秒 (日本時間)

10140-613

c100

name 名前KTakahashi
date 日付December 19, 2014 16:01:34 UTC 2014 年 12 月 20 日 (土) 1 時 1 分 34 秒 (日本時間)
composite number 合成数
6002671325959717324033581527959596886547879994158398225606045915714330088184173231910510241250270741<100>
prime factors 素因数
21811389250517125599162964564567701660407<41>
275208115219776757803542673686953396130643834073867066849363<60>
factorization results 素因数分解の結果
Number: 33313_140
N=6002671325959717324033581527959596886547879994158398225606045915714330088184173231910510241250270741
  ( 100 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=21811389250517125599162964564567701660407 (pp41)
 r2=275208115219776757803542673686953396130643834073867066849363 (pp60)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 5.13 hours.
Scaled time: 8.66 units (timescale=1.687).
Factorization parameters were as follows:
n: 6002671325959717324033581527959596886547879994158398225606045915714330088184173231910510241250270741
m: 10000000000000000000000000000
c5: 1
c0: -61
skew: 2.28
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [500000, 1400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 132988 x 133213
Total sieving time: 5.05 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,140.000,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 5.13 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
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 16:01:08 UTC 2014 年 12 月 20 日 (土) 1 時 1 分 8 秒 (日本時間)

10142-613

c130

name 名前KTakahashi
date 日付December 19, 2014 16:05:04 UTC 2014 年 12 月 20 日 (土) 1 時 5 分 4 秒 (日本時間)
composite number 合成数
2832953506032127696789147904507515220340985041634032136540880179334380163824982556162436315946777260619053867622464877325420897067<130>
prime factors 素因数
46358641147619660551874212185310097<35>
61109502692522061913445606114165994093805494923936747170439199641034943542158470661907480438011<95>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [P+1]
Input number is 2832953506032127696789147904507515220340985041634032136540880179334380163824982556162436315946777260619053867622464877325420897067 (130 digits)
Using B1=20000000, B2=46784135200, polynomial x^1, x0=2270268000
Step 1 took 12059ms
Step 2 took 2137ms
********** Factor found in step 2: 46358641147619660551874212185310097
Found probable prime factor of 35 digits: 46358641147619660551874212185310097
Probable prime cofactor 61109502692522061913445606114165994093805494923936747170439199641034943542158470661907480438011 has 95 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10148-613

c137

name 名前KTakahashi
date 日付December 19, 2014 16:06:15 UTC 2014 年 12 月 20 日 (土) 1 時 6 分 15 秒 (日本時間)
composite number 合成数
28066880587478945357945149384546592426372430641472391755468067490777404905323905272075407057319714244476294077969621149883670516740868113<137>
prime factors 素因数
89678613149958579619920181486322000135075122301143931756081203<62>
312971840237383385210413036384902106266805987197080565526057379241059340971<75>
factorization results 素因数分解の結果
Number: 33313_148
N=28066880587478945357945149384546592426372430641472391755468067490777404905323905272075407057319714244476294077969621149883670516740868113
  ( 137 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=89678613149958579619920181486322000135075122301143931756081203 (pp62)
 r2=312971840237383385210413036384902106266805987197080565526057379241059340971 (pp75)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 16.12 hours.
Scaled time: 27.71 units (timescale=1.719).
Factorization parameters were as follows:
n: 28066880587478945357945149384546592426372430641472391755468067490777404905323905272075407057319714244476294077969621149883670516740868113
m: 200000000000000000000000000000
c5: 125
c0: -244
skew: 1.14
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved rational special-q in [750000, 3350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 281128 x 281362
Total sieving time: 15.83 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,148.000,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 16.12 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
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 16:05:27 UTC 2014 年 12 月 20 日 (土) 1 時 5 分 27 秒 (日本時間)

10149-613

c111

name 名前KTakahashi
date 日付December 19, 2014 16:06:42 UTC 2014 年 12 月 20 日 (土) 1 時 6 分 42 秒 (日本時間)
composite number 合成数
422922961701975101066990939646412534982385261089075782071621904083189577451445289691700211975572161380097147219<111>
prime factors 素因数
4847385648984014571030892257439080529<37>
87247640754685452515147550989867639551909146584073541046638046271323136611<74>
factorization results 素因数分解の結果
Number: 33313_149
N=422922961701975101066990939646412534982385261089075782071621904083189577451445289691700211975572161380097147219
  ( 111 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=4847385648984014571030892257439080529 (pp37)
 r2=87247640754685452515147550989867639551909146584073541046638046271323136611 (pp74)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 16.15 hours.
Scaled time: 33.51 units (timescale=2.075).
Factorization parameters were as follows:
n: 422922961701975101066990939646412534982385261089075782071621904083189577451445289691700211975572161380097147219
m: 500000000000000000000000000000
c5: 16
c0: -305
skew: 1.80
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved rational special-q in [750000, 3350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 274772 x 274997
Total sieving time: 15.87 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,149.000,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 16.15 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 16:05:37 UTC 2014 年 12 月 20 日 (土) 1 時 5 分 37 秒 (日本時間)

10151-613

c145

name 名前Dmitry Domanov
date 日付December 23, 2014 12:08:08 UTC 2014 年 12 月 23 日 (火) 21 時 8 分 8 秒 (日本時間)
composite number 合成数
6697219381485001242334195265467730452993221744263999030242633560971820110008525560272630406581491430572940420866660371280448070765498872523117127<145>
prime factors 素因数
62169337355126310532599714378287806502826591131729<50>
107725442579978973692687803812754056072697897947448891151494254220335143760272896942104784515863<96>
factorization results 素因数分解の結果
N=6697219381485001242334195265467730452993221744263999030242633560971820110008525560272630406581491430572940420866660371280448070765498872523117127
  ( 145 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=62169337355126310532599714378287806502826591131729 (pp50)
 r2=107725442579978973692687803812754056072697897947448891151494254220335143760272896942104784515863 (pp96)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 11.60 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 6697219381485001242334195265467730452993221744263999030242633560971820110008525560272630406581491430572940420866660371280448070765498872523117127
m: 1000000000000000000000000000000
deg: 5
c5: 10
c0: -61
skew: 1.44
# Murphy_E = 1.291e-09
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: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 377652 x 377880
Total sieving time: 11.33 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.14 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: 11.60 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 19, 2014 21:40:04 UTC 2014 年 12 月 20 日 (土) 6 時 40 分 4 秒 (日本時間)
403e6110 / 2126Ignacio SantosDecember 19, 2014 21:40:04 UTC 2014 年 12 月 20 日 (土) 6 時 40 分 4 秒 (日本時間)
4511e632 / 4437Ignacio SantosDecember 19, 2014 21:40:04 UTC 2014 年 12 月 20 日 (土) 6 時 40 分 4 秒 (日本時間)

10153-613

c133

name 名前Cyp
date 日付December 24, 2014 07:27:02 UTC 2014 年 12 月 24 日 (水) 16 時 27 分 2 秒 (日本時間)
composite number 合成数
9285158624701108050894362626016729842477213828460513457952624644662140429509538529086996758270916312116383109729266367280194163049909<133>
prime factors 素因数
256414514186185127945769015107722206350507245091921<51>
36211517332279646476148555164991850397316676419327287688519203204940131294797000229<83>
factorization results 素因数分解の結果
12/24/14 04:30:39 v1.34.3, 
12/24/14 04:30:39 v1.34.3, ****************************
12/24/14 04:30:39 v1.34.3, Starting factorization of 9285158624701108050894362626016729842477213828460513457952624644662140429509538529086996758270916312116383109729266367280194163049909
12/24/14 04:30:39 v1.34.3, using pretesting plan: none
12/24/14 04:30:39 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/24/14 04:30:39 v1.34.3, ****************************
12/24/14 04:30:39 v1.34.3, nfs: commencing nfs on c133: 9285158624701108050894362626016729842477213828460513457952624644662140429509538529086996758270916312116383109729266367280194163049909
12/24/14 04:30:39 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/24/14 04:30:39 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/24/14 04:32:21 v1.34.3, nfs: commencing lattice sieving with 8 threads
[122 lines snipped]
12/24/14 08:04:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/24/14 08:06:13 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/24/14 08:07:59 v1.34.3, nfs: commencing msieve filtering
12/24/14 08:11:05 v1.34.3, nfs: commencing msieve linear algebra
12/24/14 08:20:53 v1.34.3, nfs: commencing msieve sqrt
12/24/14 08:27:01 v1.34.3, prp51 = 256414514186185127945769015107722206350507245091921
12/24/14 08:27:01 v1.34.3, prp83 = 36211517332279646476148555164991850397316676419327287688519203204940131294797000229
12/24/14 08:27:01 v1.34.3, NFS elapsed time = 14181.9719 seconds.
12/24/14 08:27:01 v1.34.3, 
12/24/14 08:27:01 v1.34.3, 
12/24/14 08:27:01 v1.34.3, Total factoring time = 14181.9731 seconds
--
Wed Dec 24 08:07:59 2014  
Wed Dec 24 08:07:59 2014  commencing relation filtering
Wed Dec 24 08:07:59 2014  estimated available RAM is 15987.3 MB
Wed Dec 24 08:07:59 2014  commencing duplicate removal, pass 1
Wed Dec 24 08:08:52 2014  found 1626756 hash collisions in 10060739 relations
Wed Dec 24 08:09:06 2014  added 356781 free relations
Wed Dec 24 08:09:06 2014  commencing duplicate removal, pass 2
Wed Dec 24 08:09:18 2014  found 1288330 duplicates and 9129190 unique relations
Wed Dec 24 08:09:18 2014  memory use: 41.3 MB
Wed Dec 24 08:09:18 2014  reading ideals above 100000
Wed Dec 24 08:09:18 2014  commencing singleton removal, initial pass
Wed Dec 24 08:10:29 2014  memory use: 188.2 MB
Wed Dec 24 08:10:29 2014  reading all ideals from disk
Wed Dec 24 08:10:29 2014  memory use: 306.5 MB
Wed Dec 24 08:10:30 2014  keeping 9508962 ideals with weight <= 200, target excess is 46318
Wed Dec 24 08:10:31 2014  commencing in-memory singleton removal
Wed Dec 24 08:10:32 2014  begin with 9129190 relations and 9508962 unique ideals
Wed Dec 24 08:10:38 2014  reduce to 4195535 relations and 3408352 ideals in 12 passes
Wed Dec 24 08:10:38 2014  max relations containing the same ideal: 121
Wed Dec 24 08:10:40 2014  removing 1236246 relations and 869519 ideals in 366727 cliques
Wed Dec 24 08:10:41 2014  commencing in-memory singleton removal
Wed Dec 24 08:10:41 2014  begin with 2959289 relations and 3408352 unique ideals
Wed Dec 24 08:10:43 2014  reduce to 2716393 relations and 2269605 ideals in 8 passes
Wed Dec 24 08:10:43 2014  max relations containing the same ideal: 91
Wed Dec 24 08:10:44 2014  removing 1034752 relations and 668025 ideals in 366727 cliques
Wed Dec 24 08:10:45 2014  commencing in-memory singleton removal
Wed Dec 24 08:10:45 2014  begin with 1681641 relations and 2269605 unique ideals
Wed Dec 24 08:10:46 2014  reduce to 1469142 relations and 1359661 ideals in 9 passes
Wed Dec 24 08:10:46 2014  max relations containing the same ideal: 65
Wed Dec 24 08:10:46 2014  removing 225878 relations and 170126 ideals in 55752 cliques
Wed Dec 24 08:10:46 2014  commencing in-memory singleton removal
Wed Dec 24 08:10:46 2014  begin with 1243264 relations and 1359661 unique ideals
Wed Dec 24 08:10:47 2014  reduce to 1215683 relations and 1160887 ideals in 7 passes
Wed Dec 24 08:10:47 2014  max relations containing the same ideal: 55
Wed Dec 24 08:10:48 2014  relations with 0 large ideals: 1017
Wed Dec 24 08:10:48 2014  relations with 1 large ideals: 831
Wed Dec 24 08:10:48 2014  relations with 2 large ideals: 11310
Wed Dec 24 08:10:48 2014  relations with 3 large ideals: 66889
Wed Dec 24 08:10:48 2014  relations with 4 large ideals: 202157
Wed Dec 24 08:10:48 2014  relations with 5 large ideals: 336636
Wed Dec 24 08:10:48 2014  relations with 6 large ideals: 338678
Wed Dec 24 08:10:48 2014  relations with 7+ large ideals: 258165
Wed Dec 24 08:10:48 2014  commencing 2-way merge
Wed Dec 24 08:10:49 2014  reduce to 762675 relation sets and 707879 unique ideals
Wed Dec 24 08:10:49 2014  commencing full merge
Wed Dec 24 08:11:00 2014  memory use: 91.0 MB
Wed Dec 24 08:11:00 2014  found 394102 cycles, need 386079
Wed Dec 24 08:11:00 2014  weight of 386079 cycles is about 27025922 (70.00/cycle)
Wed Dec 24 08:11:00 2014  distribution of cycle lengths:
Wed Dec 24 08:11:00 2014  1 relations: 26677
Wed Dec 24 08:11:00 2014  2 relations: 36054
Wed Dec 24 08:11:00 2014  3 relations: 41149
Wed Dec 24 08:11:00 2014  4 relations: 40794
Wed Dec 24 08:11:00 2014  5 relations: 40596
Wed Dec 24 08:11:00 2014  6 relations: 37806
Wed Dec 24 08:11:00 2014  7 relations: 33712
Wed Dec 24 08:11:00 2014  8 relations: 29182
Wed Dec 24 08:11:00 2014  9 relations: 24154
Wed Dec 24 08:11:00 2014  10+ relations: 75955
Wed Dec 24 08:11:00 2014  heaviest cycle: 20 relations
Wed Dec 24 08:11:00 2014  commencing cycle optimization
Wed Dec 24 08:11:01 2014  start with 2425551 relations
Wed Dec 24 08:11:04 2014  pruned 75386 relations
Wed Dec 24 08:11:04 2014  memory use: 74.8 MB
Wed Dec 24 08:11:04 2014  distribution of cycle lengths:
Wed Dec 24 08:11:04 2014  1 relations: 26677
Wed Dec 24 08:11:04 2014  2 relations: 36819
Wed Dec 24 08:11:04 2014  3 relations: 42725
Wed Dec 24 08:11:04 2014  4 relations: 42205
Wed Dec 24 08:11:04 2014  5 relations: 42189
Wed Dec 24 08:11:04 2014  6 relations: 38991
Wed Dec 24 08:11:04 2014  7 relations: 34714
Wed Dec 24 08:11:04 2014  8 relations: 29515
Wed Dec 24 08:11:04 2014  9 relations: 24343
Wed Dec 24 08:11:04 2014  10+ relations: 67901
Wed Dec 24 08:11:04 2014  heaviest cycle: 20 relations
Wed Dec 24 08:11:05 2014  RelProcTime: 186
Wed Dec 24 08:11:05 2014  
Wed Dec 24 08:11:05 2014  commencing linear algebra
Wed Dec 24 08:11:05 2014  read 386079 cycles
Wed Dec 24 08:11:06 2014  cycles contain 1178196 unique relations
Wed Dec 24 08:11:21 2014  read 1178196 relations
Wed Dec 24 08:11:22 2014  using 20 quadratic characters above 134214528
Wed Dec 24 08:11:28 2014  building initial matrix
Wed Dec 24 08:11:42 2014  memory use: 146.5 MB
Wed Dec 24 08:11:42 2014  read 386079 cycles
Wed Dec 24 08:11:42 2014  matrix is 385902 x 386079 (114.6 MB) with weight 34527587 (89.43/col)
Wed Dec 24 08:11:42 2014  sparse part has weight 25794241 (66.81/col)
Wed Dec 24 08:11:45 2014  filtering completed in 2 passes
Wed Dec 24 08:11:45 2014  matrix is 385817 x 385994 (114.6 MB) with weight 34523841 (89.44/col)
Wed Dec 24 08:11:45 2014  sparse part has weight 25792434 (66.82/col)
Wed Dec 24 08:11:46 2014  matrix starts at (0, 0)
Wed Dec 24 08:11:46 2014  matrix is 385817 x 385994 (114.6 MB) with weight 34523841 (89.44/col)
Wed Dec 24 08:11:46 2014  sparse part has weight 25792434 (66.82/col)
Wed Dec 24 08:11:46 2014  saving the first 48 matrix rows for later
Wed Dec 24 08:11:46 2014  matrix includes 64 packed rows
Wed Dec 24 08:11:46 2014  matrix is 385769 x 385994 (108.4 MB) with weight 27196521 (70.46/col)
Wed Dec 24 08:11:46 2014  sparse part has weight 24555047 (63.62/col)
Wed Dec 24 08:11:46 2014  using block size 65536 for processor cache size 8192 kB
Wed Dec 24 08:11:47 2014  commencing Lanczos iteration (8 threads)
Wed Dec 24 08:11:47 2014  memory use: 104.2 MB
Wed Dec 24 08:12:05 2014  linear algebra at 3.2%, ETA 0h 9m
Wed Dec 24 08:20:53 2014  lanczos halted after 6103 iterations (dim = 385768)
Wed Dec 24 08:20:53 2014  recovered 37 nontrivial dependencies
Wed Dec 24 08:20:53 2014  BLanczosTime: 588
Wed Dec 24 08:20:53 2014  
Wed Dec 24 08:20:53 2014  commencing square root phase
Wed Dec 24 08:20:53 2014  reading relations for dependency 1
Wed Dec 24 08:20:53 2014  read 193280 cycles
Wed Dec 24 08:20:54 2014  cycles contain 589568 unique relations
Wed Dec 24 08:21:06 2014  read 589568 relations
Wed Dec 24 08:21:08 2014  multiplying 589568 relations
Wed Dec 24 08:21:30 2014  multiply complete, coefficients have about 17.66 million bits
Wed Dec 24 08:21:30 2014  initial square root is modulo 118661
Wed Dec 24 08:21:58 2014  GCD is N, no factor found
Wed Dec 24 08:21:58 2014  reading relations for dependency 2
Wed Dec 24 08:21:59 2014  read 193221 cycles
Wed Dec 24 08:21:59 2014  cycles contain 589690 unique relations
Wed Dec 24 08:22:11 2014  read 589690 relations
Wed Dec 24 08:22:14 2014  multiplying 589690 relations
Wed Dec 24 08:22:35 2014  multiply complete, coefficients have about 17.67 million bits
Wed Dec 24 08:22:35 2014  initial square root is modulo 118891
Wed Dec 24 08:23:01 2014  GCD is N, no factor found
Wed Dec 24 08:23:01 2014  reading relations for dependency 3
Wed Dec 24 08:23:01 2014  read 193050 cycles
Wed Dec 24 08:23:01 2014  cycles contain 588928 unique relations
Wed Dec 24 08:23:12 2014  read 588928 relations
Wed Dec 24 08:23:14 2014  multiplying 588928 relations
Wed Dec 24 08:23:29 2014  multiply complete, coefficients have about 17.65 million bits
Wed Dec 24 08:23:29 2014  initial square root is modulo 117191
Wed Dec 24 08:23:53 2014  GCD is N, no factor found
Wed Dec 24 08:23:53 2014  reading relations for dependency 4
Wed Dec 24 08:23:53 2014  read 192963 cycles
Wed Dec 24 08:23:53 2014  cycles contain 589170 unique relations
Wed Dec 24 08:24:03 2014  read 589170 relations
Wed Dec 24 08:24:05 2014  multiplying 589170 relations
Wed Dec 24 08:24:22 2014  multiply complete, coefficients have about 17.65 million bits
Wed Dec 24 08:24:22 2014  initial square root is modulo 117671
Wed Dec 24 08:24:50 2014  GCD is 1, no factor found
Wed Dec 24 08:24:50 2014  reading relations for dependency 5
Wed Dec 24 08:24:50 2014  read 192468 cycles
Wed Dec 24 08:24:51 2014  cycles contain 587594 unique relations
Wed Dec 24 08:25:03 2014  read 587594 relations
Wed Dec 24 08:25:06 2014  multiplying 587594 relations
Wed Dec 24 08:25:27 2014  multiply complete, coefficients have about 17.61 million bits
Wed Dec 24 08:25:28 2014  initial square root is modulo 114161
Wed Dec 24 08:25:56 2014  GCD is N, no factor found
Wed Dec 24 08:25:56 2014  reading relations for dependency 6
Wed Dec 24 08:25:56 2014  read 192398 cycles
Wed Dec 24 08:25:56 2014  cycles contain 587918 unique relations
Wed Dec 24 08:26:08 2014  read 587918 relations
Wed Dec 24 08:26:11 2014  multiplying 587918 relations
Wed Dec 24 08:26:32 2014  multiply complete, coefficients have about 17.61 million bits
Wed Dec 24 08:26:32 2014  initial square root is modulo 114781
Wed Dec 24 08:27:01 2014  sqrtTime: 368
--
n: 9285158624701108050894362626016729842477213828460513457952624644662140429509538529086996758270916312116383109729266367280194163049909
m: 1000000000000000000000000000000
deg: 5
c5: 1000
c0: -61
skew: 0.57
# Murphy_E = 9.57e-10
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 19, 2014 21:40:26 UTC 2014 年 12 月 20 日 (土) 6 時 40 分 26 秒 (日本時間)
403e6110 / 2126Ignacio SantosDecember 19, 2014 21:40:26 UTC 2014 年 12 月 20 日 (土) 6 時 40 分 26 秒 (日本時間)
4511e632 / 4437Ignacio SantosDecember 19, 2014 21:40:26 UTC 2014 年 12 月 20 日 (土) 6 時 40 分 26 秒 (日本時間)

10154-613

c136

name 名前Cyp
date 日付December 24, 2014 23:30:39 UTC 2014 年 12 月 25 日 (木) 8 時 30 分 39 秒 (日本時間)
composite number 合成数
2117453668437495546761348953570590730158532734627201406965704278416290200496965584220657189568414392689185649600138350700394826694147329<136>
prime factors 素因数
1401422469528628611202597974347389425952379378813<49>
1510931724356971051027566172101060989766191269859071539064367765999802364564271435480533<88>
factorization results 素因数分解の結果
12/24/14 12:47:01 v1.34.3, 
12/24/14 12:47:01 v1.34.3, ****************************
12/24/14 12:47:01 v1.34.3, Starting factorization of 2117453668437495546761348953570590730158532734627201406965704278416290200496965584220657189568414392689185649600138350700394826694147329
12/24/14 12:47:01 v1.34.3, using pretesting plan: none
12/24/14 12:47:01 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/24/14 12:47:01 v1.34.3, ****************************
12/24/14 12:47:01 v1.34.3, nfs: commencing nfs on c136: 2117453668437495546761348953570590730158532734627201406965704278416290200496965584220657189568414392689185649600138350700394826694147329
12/24/14 12:47:01 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/24/14 12:47:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/24/14 12:49:07 v1.34.3, nfs: commencing lattice sieving with 8 threads
[104 lines snipped]
12/25/14 00:11:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/25/14 00:13:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/25/14 00:15:39 v1.34.3, nfs: commencing msieve filtering
12/25/14 00:18:32 v1.34.3, nfs: commencing msieve linear algebra
12/25/14 00:28:44 v1.34.3, nfs: commencing msieve sqrt
12/25/14 00:30:37 v1.34.3, prp49 = 1401422469528628611202597974347389425952379378813
12/25/14 00:30:38 v1.34.3, prp88 = 1510931724356971051027566172101060989766191269859071539064367765999802364564271435480533
12/25/14 00:30:38 v1.34.3, NFS elapsed time = 42216.3431 seconds.
12/25/14 00:30:38 v1.34.3, 
12/25/14 00:30:38 v1.34.3, 
12/25/14 00:30:38 v1.34.3, Total factoring time = 42216.3444 seconds
--
Thu Dec 25 00:15:39 2014  
Thu Dec 25 00:15:39 2014  commencing relation filtering
Thu Dec 25 00:15:39 2014  estimated available RAM is 15987.3 MB
Thu Dec 25 00:15:39 2014  commencing duplicate removal, pass 1
Thu Dec 25 00:16:31 2014  found 1621095 hash collisions in 10084346 relations
Thu Dec 25 00:16:41 2014  added 356584 free relations
Thu Dec 25 00:16:41 2014  commencing duplicate removal, pass 2
Thu Dec 25 00:16:50 2014  found 1275410 duplicates and 9165520 unique relations
Thu Dec 25 00:16:50 2014  memory use: 41.3 MB
Thu Dec 25 00:16:50 2014  reading ideals above 100000
Thu Dec 25 00:16:50 2014  commencing singleton removal, initial pass
Thu Dec 25 00:17:57 2014  memory use: 188.2 MB
Thu Dec 25 00:17:57 2014  reading all ideals from disk
Thu Dec 25 00:17:57 2014  memory use: 309.1 MB
Thu Dec 25 00:17:58 2014  keeping 9545518 ideals with weight <= 200, target excess is 46528
Thu Dec 25 00:17:59 2014  commencing in-memory singleton removal
Thu Dec 25 00:17:59 2014  begin with 9165520 relations and 9545518 unique ideals
Thu Dec 25 00:18:05 2014  reduce to 4231060 relations and 3448559 ideals in 11 passes
Thu Dec 25 00:18:05 2014  max relations containing the same ideal: 122
Thu Dec 25 00:18:07 2014  removing 1233055 relations and 868791 ideals in 364264 cliques
Thu Dec 25 00:18:07 2014  commencing in-memory singleton removal
Thu Dec 25 00:18:07 2014  begin with 2998005 relations and 3448559 unique ideals
Thu Dec 25 00:18:09 2014  reduce to 2757953 relations and 2313925 ideals in 7 passes
Thu Dec 25 00:18:09 2014  max relations containing the same ideal: 89
Thu Dec 25 00:18:11 2014  removing 1033884 relations and 669620 ideals in 364264 cliques
Thu Dec 25 00:18:11 2014  commencing in-memory singleton removal
Thu Dec 25 00:18:11 2014  begin with 1724069 relations and 2313925 unique ideals
Thu Dec 25 00:18:13 2014  reduce to 1512125 relations and 1403950 ideals in 10 passes
Thu Dec 25 00:18:13 2014  max relations containing the same ideal: 58
Thu Dec 25 00:18:13 2014  removing 222664 relations and 168462 ideals in 54202 cliques
Thu Dec 25 00:18:13 2014  commencing in-memory singleton removal
Thu Dec 25 00:18:13 2014  begin with 1289461 relations and 1403950 unique ideals
Thu Dec 25 00:18:14 2014  reduce to 1264125 relations and 1209123 ideals in 7 passes
Thu Dec 25 00:18:14 2014  max relations containing the same ideal: 52
Thu Dec 25 00:18:15 2014  relations with 0 large ideals: 1085
Thu Dec 25 00:18:15 2014  relations with 1 large ideals: 693
Thu Dec 25 00:18:15 2014  relations with 2 large ideals: 10723
Thu Dec 25 00:18:15 2014  relations with 3 large ideals: 65770
Thu Dec 25 00:18:15 2014  relations with 4 large ideals: 200671
Thu Dec 25 00:18:15 2014  relations with 5 large ideals: 345563
Thu Dec 25 00:18:15 2014  relations with 6 large ideals: 356272
Thu Dec 25 00:18:15 2014  relations with 7+ large ideals: 283348
Thu Dec 25 00:18:15 2014  commencing 2-way merge
Thu Dec 25 00:18:16 2014  reduce to 795272 relation sets and 740270 unique ideals
Thu Dec 25 00:18:16 2014  commencing full merge
Thu Dec 25 00:18:27 2014  memory use: 95.1 MB
Thu Dec 25 00:18:27 2014  found 412510 cycles, need 404470
Thu Dec 25 00:18:27 2014  weight of 404470 cycles is about 28342012 (70.07/cycle)
Thu Dec 25 00:18:27 2014  distribution of cycle lengths:
Thu Dec 25 00:18:27 2014  1 relations: 28738
Thu Dec 25 00:18:27 2014  2 relations: 38558
Thu Dec 25 00:18:27 2014  3 relations: 43657
Thu Dec 25 00:18:27 2014  4 relations: 43038
Thu Dec 25 00:18:27 2014  5 relations: 42705
Thu Dec 25 00:18:27 2014  6 relations: 39519
Thu Dec 25 00:18:27 2014  7 relations: 35369
Thu Dec 25 00:18:27 2014  8 relations: 30474
Thu Dec 25 00:18:27 2014  9 relations: 25515
Thu Dec 25 00:18:27 2014  10+ relations: 76897
Thu Dec 25 00:18:27 2014  heaviest cycle: 20 relations
Thu Dec 25 00:18:27 2014  commencing cycle optimization
Thu Dec 25 00:18:28 2014  start with 2513469 relations
Thu Dec 25 00:18:32 2014  pruned 77452 relations
Thu Dec 25 00:18:32 2014  memory use: 77.8 MB
Thu Dec 25 00:18:32 2014  distribution of cycle lengths:
Thu Dec 25 00:18:32 2014  1 relations: 28738
Thu Dec 25 00:18:32 2014  2 relations: 39362
Thu Dec 25 00:18:32 2014  3 relations: 45244
Thu Dec 25 00:18:32 2014  4 relations: 44590
Thu Dec 25 00:18:32 2014  5 relations: 44371
Thu Dec 25 00:18:32 2014  6 relations: 40804
Thu Dec 25 00:18:32 2014  7 relations: 36350
Thu Dec 25 00:18:32 2014  8 relations: 30841
Thu Dec 25 00:18:32 2014  9 relations: 25493
Thu Dec 25 00:18:32 2014  10+ relations: 68677
Thu Dec 25 00:18:32 2014  heaviest cycle: 20 relations
Thu Dec 25 00:18:32 2014  RelProcTime: 173
Thu Dec 25 00:18:32 2014  
Thu Dec 25 00:18:32 2014  commencing linear algebra
Thu Dec 25 00:18:32 2014  read 404470 cycles
Thu Dec 25 00:18:33 2014  cycles contain 1227052 unique relations
Thu Dec 25 00:18:47 2014  read 1227052 relations
Thu Dec 25 00:18:49 2014  using 20 quadratic characters above 134205690
Thu Dec 25 00:18:54 2014  building initial matrix
Thu Dec 25 00:19:08 2014  memory use: 150.3 MB
Thu Dec 25 00:19:08 2014  read 404470 cycles
Thu Dec 25 00:19:08 2014  matrix is 404292 x 404470 (120.1 MB) with weight 35611499 (88.04/col)
Thu Dec 25 00:19:08 2014  sparse part has weight 27031322 (66.83/col)
Thu Dec 25 00:19:11 2014  filtering completed in 2 passes
Thu Dec 25 00:19:11 2014  matrix is 404200 x 404378 (120.1 MB) with weight 35607901 (88.06/col)
Thu Dec 25 00:19:11 2014  sparse part has weight 27029622 (66.84/col)
Thu Dec 25 00:19:12 2014  matrix starts at (0, 0)
Thu Dec 25 00:19:12 2014  matrix is 404200 x 404378 (120.1 MB) with weight 35607901 (88.06/col)
Thu Dec 25 00:19:12 2014  sparse part has weight 27029622 (66.84/col)
Thu Dec 25 00:19:12 2014  saving the first 48 matrix rows for later
Thu Dec 25 00:19:12 2014  matrix includes 64 packed rows
Thu Dec 25 00:19:12 2014  matrix is 404152 x 404378 (112.8 MB) with weight 28119873 (69.54/col)
Thu Dec 25 00:19:12 2014  sparse part has weight 25518381 (63.11/col)
Thu Dec 25 00:19:12 2014  using block size 65536 for processor cache size 8192 kB
Thu Dec 25 00:19:13 2014  commencing Lanczos iteration (8 threads)
Thu Dec 25 00:19:13 2014  memory use: 108.7 MB
Thu Dec 25 00:19:32 2014  linear algebra at 3.0%, ETA 0h10m
Thu Dec 25 00:28:43 2014  lanczos halted after 6391 iterations (dim = 404151)
Thu Dec 25 00:28:44 2014  recovered 38 nontrivial dependencies
Thu Dec 25 00:28:44 2014  BLanczosTime: 612
Thu Dec 25 00:28:44 2014  
Thu Dec 25 00:28:44 2014  commencing square root phase
Thu Dec 25 00:28:44 2014  reading relations for dependency 1
Thu Dec 25 00:28:44 2014  read 202296 cycles
Thu Dec 25 00:28:44 2014  cycles contain 613614 unique relations
Thu Dec 25 00:28:56 2014  read 613614 relations
Thu Dec 25 00:28:59 2014  multiplying 613614 relations
Thu Dec 25 00:29:17 2014  multiply complete, coefficients have about 15.26 million bits
Thu Dec 25 00:29:17 2014  initial square root is modulo 582635531
Thu Dec 25 00:29:41 2014  GCD is 1, no factor found
Thu Dec 25 00:29:41 2014  reading relations for dependency 2
Thu Dec 25 00:29:41 2014  read 201888 cycles
Thu Dec 25 00:29:42 2014  cycles contain 613010 unique relations
Thu Dec 25 00:29:54 2014  read 613010 relations
Thu Dec 25 00:29:57 2014  multiplying 613010 relations
Thu Dec 25 00:30:15 2014  multiply complete, coefficients have about 15.24 million bits
Thu Dec 25 00:30:15 2014  initial square root is modulo 572063101
Thu Dec 25 00:30:37 2014  sqrtTime: 113
--
n: 2117453668437495546761348953570590730158532734627201406965704278416290200496965584220657189568414392689185649600138350700394826694147329
m: 5000000000000000000000000000000
deg: 5
c5: 16
c0: -305
skew: 1.80
# Murphy_E = 8.752e-10
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 19, 2014 21:54:25 UTC 2014 年 12 月 20 日 (土) 6 時 54 分 25 秒 (日本時間)
403e6110 / 2126Ignacio SantosDecember 19, 2014 21:54:25 UTC 2014 年 12 月 20 日 (土) 6 時 54 分 25 秒 (日本時間)
4511e632 / 4437Ignacio SantosDecember 19, 2014 21:54:25 UTC 2014 年 12 月 20 日 (土) 6 時 54 分 25 秒 (日本時間)

10156-613

c131

name 名前Cyp
date 日付December 25, 2014 17:05:28 UTC 2014 年 12 月 26 日 (金) 2 時 5 分 28 秒 (日本時間)
composite number 合成数
12049958394595211804602014981203003826108994422026240104083394748967212557897040055238334785614289498194722728279257078665468805353<131>
prime factors 素因数
403268661174901917226242509402368916471992274973139<51>
29880721104110335009123040888240323010195866265923605654754860672862067641225427<80>
factorization results 素因数分解の結果
12/25/14 13:11:08 v1.34.3, 
12/25/14 13:11:08 v1.34.3, ****************************
12/25/14 13:11:08 v1.34.3, Starting factorization of 12049958394595211804602014981203003826108994422026240104083394748967212557897040055238334785614289498194722728279257078665468805353
12/25/14 13:11:08 v1.34.3, using pretesting plan: none
12/25/14 13:11:08 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/25/14 13:11:08 v1.34.3, ****************************
12/25/14 13:11:08 v1.34.3, nfs: commencing nfs on c131: 12049958394595211804602014981203003826108994422026240104083394748967212557897040055238334785614289498194722728279257078665468805353
12/25/14 13:11:08 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/25/14 13:11:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/25/14 13:13:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
[136 lines snipped]
12/25/14 17:40:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/25/14 17:43:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/25/14 17:45:15 v1.34.3, nfs: commencing msieve filtering
12/25/14 17:49:18 v1.34.3, nfs: commencing msieve linear algebra
12/25/14 18:04:15 v1.34.3, nfs: commencing msieve sqrt
12/25/14 18:05:22 v1.34.3, prp51 = 403268661174901917226242509402368916471992274973139
12/25/14 18:05:22 v1.34.3, prp80 = 29880721104110335009123040888240323010195866265923605654754860672862067641225427
12/25/14 18:05:22 v1.34.3, NFS elapsed time = 17654.5124 seconds.
12/25/14 18:05:22 v1.34.3, 
12/25/14 18:05:22 v1.34.3, 
12/25/14 18:05:22 v1.34.3, Total factoring time = 17654.5137 seconds
--
Thu Dec 25 17:45:15 2014  
Thu Dec 25 17:45:15 2014  commencing relation filtering
Thu Dec 25 17:45:15 2014  estimated available RAM is 15987.3 MB
Thu Dec 25 17:45:15 2014  commencing duplicate removal, pass 1
Thu Dec 25 17:46:17 2014  found 1648165 hash collisions in 10074165 relations
Thu Dec 25 17:46:34 2014  added 355998 free relations
Thu Dec 25 17:46:34 2014  commencing duplicate removal, pass 2
Thu Dec 25 17:46:50 2014  found 1316708 duplicates and 9113455 unique relations
Thu Dec 25 17:46:50 2014  memory use: 41.3 MB
Thu Dec 25 17:46:50 2014  reading ideals above 100000
Thu Dec 25 17:46:50 2014  commencing singleton removal, initial pass
Thu Dec 25 17:48:26 2014  memory use: 188.2 MB
Thu Dec 25 17:48:26 2014  reading all ideals from disk
Thu Dec 25 17:48:26 2014  memory use: 309.1 MB
Thu Dec 25 17:48:27 2014  keeping 9547709 ideals with weight <= 200, target excess is 46549
Thu Dec 25 17:48:29 2014  commencing in-memory singleton removal
Thu Dec 25 17:48:30 2014  begin with 9113455 relations and 9547709 unique ideals
Thu Dec 25 17:48:43 2014  reduce to 4168941 relations and 3439690 ideals in 19 passes
Thu Dec 25 17:48:43 2014  max relations containing the same ideal: 119
Thu Dec 25 17:48:46 2014  removing 1178666 relations and 841039 ideals in 337627 cliques
Thu Dec 25 17:48:47 2014  commencing in-memory singleton removal
Thu Dec 25 17:48:47 2014  begin with 2990275 relations and 3439690 unique ideals
Thu Dec 25 17:48:50 2014  reduce to 2759403 relations and 2344401 ideals in 8 passes
Thu Dec 25 17:48:50 2014  max relations containing the same ideal: 91
Thu Dec 25 17:48:52 2014  removing 984519 relations and 646892 ideals in 337627 cliques
Thu Dec 25 17:48:53 2014  commencing in-memory singleton removal
Thu Dec 25 17:48:53 2014  begin with 1774884 relations and 2344401 unique ideals
Thu Dec 25 17:48:55 2014  reduce to 1572821 relations and 1469841 ideals in 8 passes
Thu Dec 25 17:48:55 2014  max relations containing the same ideal: 62
Thu Dec 25 17:48:56 2014  removing 209696 relations and 160713 ideals in 48983 cliques
Thu Dec 25 17:48:56 2014  commencing in-memory singleton removal
Thu Dec 25 17:48:56 2014  begin with 1363125 relations and 1469841 unique ideals
Thu Dec 25 17:48:57 2014  reduce to 1342351 relations and 1287743 ideals in 7 passes
Thu Dec 25 17:48:57 2014  max relations containing the same ideal: 55
Thu Dec 25 17:48:58 2014  relations with 0 large ideals: 1091
Thu Dec 25 17:48:58 2014  relations with 1 large ideals: 648
Thu Dec 25 17:48:58 2014  relations with 2 large ideals: 9742
Thu Dec 25 17:48:58 2014  relations with 3 large ideals: 62620
Thu Dec 25 17:48:58 2014  relations with 4 large ideals: 200257
Thu Dec 25 17:48:58 2014  relations with 5 large ideals: 358405
Thu Dec 25 17:48:58 2014  relations with 6 large ideals: 385231
Thu Dec 25 17:48:58 2014  relations with 7+ large ideals: 324357
Thu Dec 25 17:48:58 2014  commencing 2-way merge
Thu Dec 25 17:48:59 2014  reduce to 842628 relation sets and 788020 unique ideals
Thu Dec 25 17:48:59 2014  commencing full merge
Thu Dec 25 17:49:13 2014  memory use: 101.6 MB
Thu Dec 25 17:49:13 2014  found 435839 cycles, need 428220
Thu Dec 25 17:49:13 2014  weight of 428220 cycles is about 30179440 (70.48/cycle)
Thu Dec 25 17:49:13 2014  distribution of cycle lengths:
Thu Dec 25 17:49:13 2014  1 relations: 30386
Thu Dec 25 17:49:13 2014  2 relations: 40624
Thu Dec 25 17:49:13 2014  3 relations: 45689
Thu Dec 25 17:49:13 2014  4 relations: 45305
Thu Dec 25 17:49:13 2014  5 relations: 44420
Thu Dec 25 17:49:13 2014  6 relations: 41360
Thu Dec 25 17:49:13 2014  7 relations: 36955
Thu Dec 25 17:49:13 2014  8 relations: 32440
Thu Dec 25 17:49:13 2014  9 relations: 26926
Thu Dec 25 17:49:13 2014  10+ relations: 84115
Thu Dec 25 17:49:13 2014  heaviest cycle: 20 relations
Thu Dec 25 17:49:13 2014  commencing cycle optimization
Thu Dec 25 17:49:14 2014  start with 2686624 relations
Thu Dec 25 17:49:17 2014  pruned 82861 relations
Thu Dec 25 17:49:17 2014  memory use: 82.9 MB
Thu Dec 25 17:49:17 2014  distribution of cycle lengths:
Thu Dec 25 17:49:17 2014  1 relations: 30386
Thu Dec 25 17:49:17 2014  2 relations: 41509
Thu Dec 25 17:49:17 2014  3 relations: 47369
Thu Dec 25 17:49:17 2014  4 relations: 46871
Thu Dec 25 17:49:17 2014  5 relations: 46115
Thu Dec 25 17:49:17 2014  6 relations: 42769
Thu Dec 25 17:49:17 2014  7 relations: 37912
Thu Dec 25 17:49:17 2014  8 relations: 32909
Thu Dec 25 17:49:17 2014  9 relations: 26894
Thu Dec 25 17:49:17 2014  10+ relations: 75486
Thu Dec 25 17:49:17 2014  heaviest cycle: 20 relations
Thu Dec 25 17:49:18 2014  RelProcTime: 243
Thu Dec 25 17:49:18 2014  
Thu Dec 25 17:49:18 2014  commencing linear algebra
Thu Dec 25 17:49:18 2014  read 428220 cycles
Thu Dec 25 17:49:18 2014  cycles contain 1307410 unique relations
Thu Dec 25 17:49:31 2014  read 1307410 relations
Thu Dec 25 17:49:32 2014  using 20 quadratic characters above 134212782
Thu Dec 25 17:49:37 2014  building initial matrix
Thu Dec 25 17:49:49 2014  memory use: 161.8 MB
Thu Dec 25 17:49:49 2014  read 428220 cycles
Thu Dec 25 17:49:49 2014  matrix is 428043 x 428220 (127.9 MB) with weight 38361140 (89.58/col)
Thu Dec 25 17:49:49 2014  sparse part has weight 28806951 (67.27/col)
Thu Dec 25 17:49:53 2014  filtering completed in 2 passes
Thu Dec 25 17:49:53 2014  matrix is 427960 x 428137 (127.9 MB) with weight 38358288 (89.59/col)
Thu Dec 25 17:49:53 2014  sparse part has weight 28805893 (67.28/col)
Thu Dec 25 17:49:54 2014  matrix starts at (0, 0)
Thu Dec 25 17:49:54 2014  matrix is 427960 x 428137 (127.9 MB) with weight 38358288 (89.59/col)
Thu Dec 25 17:49:54 2014  sparse part has weight 28805893 (67.28/col)
Thu Dec 25 17:49:54 2014  saving the first 48 matrix rows for later
Thu Dec 25 17:49:54 2014  matrix includes 64 packed rows
Thu Dec 25 17:49:54 2014  matrix is 427912 x 428137 (121.0 MB) with weight 30243946 (70.64/col)
Thu Dec 25 17:49:54 2014  sparse part has weight 27435465 (64.08/col)
Thu Dec 25 17:49:54 2014  using block size 65536 for processor cache size 8192 kB
Thu Dec 25 17:49:55 2014  commencing Lanczos iteration (8 threads)
Thu Dec 25 17:49:55 2014  memory use: 116.5 MB
Thu Dec 25 17:50:19 2014  linear algebra at 2.8%, ETA 0h13m
Thu Dec 25 18:04:14 2014  lanczos halted after 6769 iterations (dim = 427910)
Thu Dec 25 18:04:15 2014  recovered 37 nontrivial dependencies
Thu Dec 25 18:04:15 2014  BLanczosTime: 897
Thu Dec 25 18:04:15 2014  
Thu Dec 25 18:04:15 2014  commencing square root phase
Thu Dec 25 18:04:15 2014  reading relations for dependency 1
Thu Dec 25 18:04:15 2014  read 214349 cycles
Thu Dec 25 18:04:15 2014  cycles contain 654542 unique relations
Thu Dec 25 18:04:30 2014  read 654542 relations
Thu Dec 25 18:04:34 2014  multiplying 654542 relations
Thu Dec 25 18:04:56 2014  multiply complete, coefficients have about 15.76 million bits
Thu Dec 25 18:04:56 2014  initial square root is modulo 1129506601
Thu Dec 25 18:05:22 2014  sqrtTime: 67
--
n: 12049958394595211804602014981203003826108994422026240104083394748967212557897040055238334785614289498194722728279257078665468805353
m: 10000000000000000000000000000000
deg: 5
c5: 10
c0: -61
skew: 1.44
# Murphy_E = 8.315e-10
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 19, 2014 22:17:38 UTC 2014 年 12 月 20 日 (土) 7 時 17 分 38 秒 (日本時間)
403e6110 / 2126Ignacio SantosDecember 19, 2014 22:17:38 UTC 2014 年 12 月 20 日 (土) 7 時 17 分 38 秒 (日本時間)
4511e632 / 4437Ignacio SantosDecember 19, 2014 22:17:38 UTC 2014 年 12 月 20 日 (土) 7 時 17 分 38 秒 (日本時間)

10158-613

c139

name 名前Serge Batalov
date 日付December 21, 2014 01:53:04 UTC 2014 年 12 月 21 日 (日) 10 時 53 分 4 秒 (日本時間)
composite number 合成数
7192688790141798821939629643142795376249913670780651863054320252059936956294978143313566821927403363658223835161901868389104196750943552333<139>
prime factors 素因数
1164317005789504000285609128394589<34>
composite cofactor 合成数の残り
6177603482880125211284240688402787988964625207195051801360377912394530891666047067364788233117823332254897<106>
factorization results 素因数分解の結果
Input number is 7192688790141798821939629643142795376249913670780651863054320252059936956294978143313566821927403363658223835161901868389104196750943552333 (139 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2840751055
Step 1 took 9137ms
Step 2 took 7110ms
********** Factor found in step 2: 1164317005789504000285609128394589
Found probable prime factor of 34 digits: 1164317005789504000285609128394589
Composite cofactor 6177603482880125211284240688402787988964625207195051801360377912394530891666047067364788233117823332254897 has 106 digits

c106

name 名前Cyp
date 日付December 23, 2014 04:03:57 UTC 2014 年 12 月 23 日 (火) 13 時 3 分 57 秒 (日本時間)
composite number 合成数
6177603482880125211284240688402787988964625207195051801360377912394530891666047067364788233117823332254897<106>
prime factors 素因数
17231122306137285428659253080312501685701<41>
358514284393409517945930253675602910470260317393127142578878911997<66>
factorization results 素因数分解の結果
12/23/14 02:58:52 v1.34.3, 
12/23/14 02:58:52 v1.34.3, ****************************
12/23/14 02:58:52 v1.34.3, Starting factorization of 6177603482880125211284240688402787988964625207195051801360377912394530891666047067364788233117823332254897
12/23/14 02:58:52 v1.34.3, using pretesting plan: none
12/23/14 02:58:52 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/23/14 02:58:52 v1.34.3, ****************************
12/23/14 02:58:52 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C106
12/23/14 02:58:52 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C106
12/23/14 02:58:52 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C106
12/23/14 02:58:52 v1.34.3, final ECM pretested depth: 0.00
12/23/14 02:58:52 v1.34.3, scheduler: switching to sieve method
12/23/14 02:58:52 v1.34.3, nfs: commencing nfs on c106: 6177603482880125211284240688402787988964625207195051801360377912394530891666047067364788233117823332254897
12/23/14 02:58:52 v1.34.3, nfs: commencing poly selection with 8 threads
12/23/14 02:58:52 v1.34.3, nfs: setting deadline of 277 seconds
12/23/14 03:04:09 v1.34.3, nfs: completed 12 ranges of size 250 in 317.0999 seconds
12/23/14 03:04:09 v1.34.3, nfs: best poly = # norm 1.766316e-14 alpha -5.716621 e 5.109e-09 rroots 4
12/23/14 03:04:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 03:06:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
[27 lines snipped]
12/23/14 04:20:28 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 04:22:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 04:24:15 v1.34.3, nfs: commencing msieve filtering
12/23/14 04:25:20 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 04:27:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 04:29:11 v1.34.3, nfs: commencing msieve filtering
12/23/14 04:30:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 04:33:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 04:36:20 v1.34.3, nfs: commencing msieve filtering
12/23/14 04:37:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 04:40:37 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 04:43:30 v1.34.3, nfs: commencing msieve filtering
12/23/14 04:44:47 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 04:47:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 04:50:28 v1.34.3, nfs: commencing msieve filtering
12/23/14 04:52:23 v1.34.3, nfs: commencing msieve linear algebra
12/23/14 05:02:46 v1.34.3, nfs: commencing msieve sqrt
12/23/14 05:03:56 v1.34.3, prp66 = 358514284393409517945930253675602910470260317393127142578878911997
12/23/14 05:03:56 v1.34.3, prp41 = 17231122306137285428659253080312501685701
12/23/14 05:03:56 v1.34.3, NFS elapsed time = 7504.7178 seconds.
12/23/14 05:03:56 v1.34.3, 
12/23/14 05:03:56 v1.34.3, 
12/23/14 05:03:56 v1.34.3, Total factoring time = 7504.7401 seconds
--
Tue Dec 23 04:24:15 2014  
Tue Dec 23 04:24:15 2014  commencing relation filtering
Tue Dec 23 04:24:15 2014  estimated available RAM is 15987.3 MB
Tue Dec 23 04:24:15 2014  commencing duplicate removal, pass 1
Tue Dec 23 04:24:36 2014  found 498580 hash collisions in 4482118 relations
Tue Dec 23 04:24:41 2014  added 158898 free relations
Tue Dec 23 04:24:41 2014  commencing duplicate removal, pass 2
Tue Dec 23 04:24:46 2014  found 294988 duplicates and 4346028 unique relations
Tue Dec 23 04:24:46 2014  memory use: 20.6 MB
Tue Dec 23 04:24:46 2014  reading ideals above 100000
Tue Dec 23 04:24:46 2014  commencing singleton removal, initial pass
Tue Dec 23 04:25:17 2014  memory use: 172.2 MB
Tue Dec 23 04:25:17 2014  reading all ideals from disk
Tue Dec 23 04:25:17 2014  memory use: 140.8 MB
Tue Dec 23 04:25:17 2014  keeping 5463037 ideals with weight <= 200, target excess is 20839
Tue Dec 23 04:25:17 2014  commencing in-memory singleton removal
Tue Dec 23 04:25:18 2014  begin with 4346028 relations and 5463037 unique ideals
Tue Dec 23 04:25:20 2014  reduce to 395 relations and 0 ideals in 23 passes
Tue Dec 23 04:25:20 2014  max relations containing the same ideal: 0
Tue Dec 23 04:29:11 2014  
Tue Dec 23 04:29:11 2014  commencing relation filtering
Tue Dec 23 04:29:11 2014  estimated available RAM is 15987.3 MB
Tue Dec 23 04:29:11 2014  commencing duplicate removal, pass 1
Tue Dec 23 04:29:30 2014  found 574715 hash collisions in 4939805 relations
Tue Dec 23 04:29:37 2014  added 1000 free relations
Tue Dec 23 04:29:37 2014  commencing duplicate removal, pass 2
Tue Dec 23 04:29:43 2014  found 329609 duplicates and 4611196 unique relations
Tue Dec 23 04:29:43 2014  memory use: 20.6 MB
Tue Dec 23 04:29:43 2014  reading ideals above 100000
Tue Dec 23 04:29:43 2014  commencing singleton removal, initial pass
Tue Dec 23 04:30:19 2014  memory use: 172.2 MB
Tue Dec 23 04:30:19 2014  reading all ideals from disk
Tue Dec 23 04:30:19 2014  memory use: 149.5 MB
Tue Dec 23 04:30:19 2014  keeping 5594093 ideals with weight <= 200, target excess is 21876
Tue Dec 23 04:30:19 2014  commencing in-memory singleton removal
Tue Dec 23 04:30:20 2014  begin with 4611196 relations and 5594093 unique ideals
Tue Dec 23 04:30:24 2014  reduce to 884801 relations and 1020935 ideals in 39 passes
Tue Dec 23 04:30:24 2014  max relations containing the same ideal: 68
Tue Dec 23 04:36:20 2014  
Tue Dec 23 04:36:20 2014  commencing relation filtering
Tue Dec 23 04:36:20 2014  estimated available RAM is 15987.3 MB
Tue Dec 23 04:36:20 2014  commencing duplicate removal, pass 1
Tue Dec 23 04:36:46 2014  found 636025 hash collisions in 5239703 relations
Tue Dec 23 04:36:52 2014  added 866 free relations
Tue Dec 23 04:36:52 2014  commencing duplicate removal, pass 2
Tue Dec 23 04:36:59 2014  found 365647 duplicates and 4874922 unique relations
Tue Dec 23 04:36:59 2014  memory use: 20.6 MB
Tue Dec 23 04:36:59 2014  reading ideals above 100000
Tue Dec 23 04:36:59 2014  commencing singleton removal, initial pass
Tue Dec 23 04:37:37 2014  memory use: 172.2 MB
Tue Dec 23 04:37:37 2014  reading all ideals from disk
Tue Dec 23 04:37:37 2014  memory use: 158.1 MB
Tue Dec 23 04:37:37 2014  keeping 5715634 ideals with weight <= 200, target excess is 23063
Tue Dec 23 04:37:38 2014  commencing in-memory singleton removal
Tue Dec 23 04:37:38 2014  begin with 4874922 relations and 5715634 unique ideals
Tue Dec 23 04:37:43 2014  reduce to 1317317 relations and 1392264 ideals in 33 passes
Tue Dec 23 04:37:43 2014  max relations containing the same ideal: 85
Tue Dec 23 04:43:30 2014  
Tue Dec 23 04:43:30 2014  commencing relation filtering
Tue Dec 23 04:43:30 2014  estimated available RAM is 15987.3 MB
Tue Dec 23 04:43:30 2014  commencing duplicate removal, pass 1
Tue Dec 23 04:43:47 2014  found 699271 hash collisions in 5539632 relations
Tue Dec 23 04:43:53 2014  added 681 free relations
Tue Dec 23 04:43:53 2014  commencing duplicate removal, pass 2
Tue Dec 23 04:44:00 2014  found 402506 duplicates and 5137807 unique relations
Tue Dec 23 04:44:00 2014  memory use: 20.6 MB
Tue Dec 23 04:44:00 2014  reading ideals above 100000
Tue Dec 23 04:44:00 2014  commencing singleton removal, initial pass
Tue Dec 23 04:44:40 2014  memory use: 172.2 MB
Tue Dec 23 04:44:40 2014  reading all ideals from disk
Tue Dec 23 04:44:40 2014  memory use: 166.7 MB
Tue Dec 23 04:44:41 2014  keeping 5828564 ideals with weight <= 200, target excess is 24377
Tue Dec 23 04:44:41 2014  commencing in-memory singleton removal
Tue Dec 23 04:44:42 2014  begin with 5137807 relations and 5828564 unique ideals
Tue Dec 23 04:44:47 2014  reduce to 1699133 relations and 1695246 ideals in 25 passes
Tue Dec 23 04:44:47 2014  max relations containing the same ideal: 98
Tue Dec 23 04:50:28 2014  
Tue Dec 23 04:50:28 2014  commencing relation filtering
Tue Dec 23 04:50:28 2014  estimated available RAM is 15987.3 MB
Tue Dec 23 04:50:28 2014  commencing duplicate removal, pass 1
Tue Dec 23 04:50:58 2014  found 763531 hash collisions in 5837902 relations
Tue Dec 23 04:51:02 2014  added 545 free relations
Tue Dec 23 04:51:02 2014  commencing duplicate removal, pass 2
Tue Dec 23 04:51:08 2014  found 439753 duplicates and 5398694 unique relations
Tue Dec 23 04:51:08 2014  memory use: 20.6 MB
Tue Dec 23 04:51:08 2014  reading ideals above 100000
Tue Dec 23 04:51:08 2014  commencing singleton removal, initial pass
Tue Dec 23 04:51:52 2014  memory use: 172.2 MB
Tue Dec 23 04:51:52 2014  reading all ideals from disk
Tue Dec 23 04:51:52 2014  memory use: 175.3 MB
Tue Dec 23 04:51:52 2014  keeping 5933425 ideals with weight <= 200, target excess is 25654
Tue Dec 23 04:51:53 2014  commencing in-memory singleton removal
Tue Dec 23 04:51:53 2014  begin with 5398694 relations and 5933425 unique ideals
Tue Dec 23 04:51:58 2014  reduce to 2068781 relations and 1971497 ideals in 17 passes
Tue Dec 23 04:51:58 2014  max relations containing the same ideal: 108
Tue Dec 23 04:51:59 2014  removing 312538 relations and 278775 ideals in 33763 cliques
Tue Dec 23 04:51:59 2014  commencing in-memory singleton removal
Tue Dec 23 04:51:59 2014  begin with 1756243 relations and 1971497 unique ideals
Tue Dec 23 04:52:00 2014  reduce to 1714260 relations and 1649750 ideals in 9 passes
Tue Dec 23 04:52:00 2014  max relations containing the same ideal: 96
Tue Dec 23 04:52:01 2014  removing 230286 relations and 196523 ideals in 33763 cliques
Tue Dec 23 04:52:01 2014  commencing in-memory singleton removal
Tue Dec 23 04:52:01 2014  begin with 1483974 relations and 1649750 unique ideals
Tue Dec 23 04:52:03 2014  reduce to 1456303 relations and 1424966 ideals in 9 passes
Tue Dec 23 04:52:03 2014  max relations containing the same ideal: 84
Tue Dec 23 04:52:04 2014  relations with 0 large ideals: 478
Tue Dec 23 04:52:04 2014  relations with 1 large ideals: 212
Tue Dec 23 04:52:04 2014  relations with 2 large ideals: 3441
Tue Dec 23 04:52:04 2014  relations with 3 large ideals: 29101
Tue Dec 23 04:52:04 2014  relations with 4 large ideals: 127083
Tue Dec 23 04:52:04 2014  relations with 5 large ideals: 328669
Tue Dec 23 04:52:04 2014  relations with 6 large ideals: 435724
Tue Dec 23 04:52:04 2014  relations with 7+ large ideals: 531595
Tue Dec 23 04:52:04 2014  commencing 2-way merge
Tue Dec 23 04:52:05 2014  reduce to 830348 relation sets and 799011 unique ideals
Tue Dec 23 04:52:05 2014  commencing full merge
Tue Dec 23 04:52:17 2014  memory use: 92.8 MB
Tue Dec 23 04:52:17 2014  found 400927 cycles, need 397211
Tue Dec 23 04:52:17 2014  weight of 397211 cycles is about 27821263 (70.04/cycle)
Tue Dec 23 04:52:17 2014  distribution of cycle lengths:
Tue Dec 23 04:52:17 2014  1 relations: 46687
Tue Dec 23 04:52:17 2014  2 relations: 43682
Tue Dec 23 04:52:17 2014  3 relations: 41449
Tue Dec 23 04:52:17 2014  4 relations: 37703
Tue Dec 23 04:52:17 2014  5 relations: 34409
Tue Dec 23 04:52:17 2014  6 relations: 29856
Tue Dec 23 04:52:17 2014  7 relations: 25797
Tue Dec 23 04:52:17 2014  8 relations: 22972
Tue Dec 23 04:52:17 2014  9 relations: 20079
Tue Dec 23 04:52:17 2014  10+ relations: 94577
Tue Dec 23 04:52:17 2014  heaviest cycle: 27 relations
Tue Dec 23 04:52:18 2014  commencing cycle optimization
Tue Dec 23 04:52:18 2014  start with 2591524 relations
Tue Dec 23 04:52:22 2014  pruned 56796 relations
Tue Dec 23 04:52:22 2014  memory use: 84.6 MB
Tue Dec 23 04:52:22 2014  distribution of cycle lengths:
Tue Dec 23 04:52:22 2014  1 relations: 46687
Tue Dec 23 04:52:22 2014  2 relations: 44502
Tue Dec 23 04:52:22 2014  3 relations: 42681
Tue Dec 23 04:52:22 2014  4 relations: 38613
Tue Dec 23 04:52:22 2014  5 relations: 35075
Tue Dec 23 04:52:22 2014  6 relations: 30140
Tue Dec 23 04:52:22 2014  7 relations: 26167
Tue Dec 23 04:52:22 2014  8 relations: 23142
Tue Dec 23 04:52:22 2014  9 relations: 19900
Tue Dec 23 04:52:22 2014  10+ relations: 90304
Tue Dec 23 04:52:22 2014  heaviest cycle: 26 relations
Tue Dec 23 04:52:23 2014  RelProcTime: 115
Tue Dec 23 04:52:23 2014  
Tue Dec 23 04:52:23 2014  commencing linear algebra
Tue Dec 23 04:52:23 2014  read 397211 cycles
Tue Dec 23 04:52:23 2014  cycles contain 1408619 unique relations
Tue Dec 23 04:52:35 2014  read 1408619 relations
Tue Dec 23 04:52:37 2014  using 20 quadratic characters above 67108778
Tue Dec 23 04:52:44 2014  building initial matrix
Tue Dec 23 04:53:01 2014  memory use: 173.8 MB
Tue Dec 23 04:53:01 2014  read 397211 cycles
Tue Dec 23 04:53:01 2014  matrix is 397031 x 397211 (118.6 MB) with weight 37652548 (94.79/col)
Tue Dec 23 04:53:01 2014  sparse part has weight 26708268 (67.24/col)
Tue Dec 23 04:53:04 2014  filtering completed in 2 passes
Tue Dec 23 04:53:04 2014  matrix is 396417 x 396596 (118.5 MB) with weight 37625641 (94.87/col)
Tue Dec 23 04:53:04 2014  sparse part has weight 26699565 (67.32/col)
Tue Dec 23 04:53:05 2014  matrix starts at (0, 0)
Tue Dec 23 04:53:05 2014  matrix is 396417 x 396596 (118.5 MB) with weight 37625641 (94.87/col)
Tue Dec 23 04:53:05 2014  sparse part has weight 26699565 (67.32/col)
Tue Dec 23 04:53:05 2014  saving the first 48 matrix rows for later
Tue Dec 23 04:53:06 2014  matrix includes 64 packed rows
Tue Dec 23 04:53:06 2014  matrix is 396369 x 396596 (114.3 MB) with weight 29783654 (75.10/col)
Tue Dec 23 04:53:06 2014  sparse part has weight 26006547 (65.57/col)
Tue Dec 23 04:53:06 2014  using block size 65536 for processor cache size 8192 kB
Tue Dec 23 04:53:07 2014  commencing Lanczos iteration (8 threads)
Tue Dec 23 04:53:07 2014  memory use: 108.1 MB
Tue Dec 23 04:53:26 2014  linear algebra at 3.1%, ETA 0h10m
Tue Dec 23 05:02:45 2014  lanczos halted after 6268 iterations (dim = 396369)
Tue Dec 23 05:02:46 2014  recovered 32 nontrivial dependencies
Tue Dec 23 05:02:46 2014  BLanczosTime: 623
Tue Dec 23 05:02:46 2014  
Tue Dec 23 05:02:46 2014  commencing square root phase
Tue Dec 23 05:02:46 2014  reading relations for dependency 1
Tue Dec 23 05:02:46 2014  read 197976 cycles
Tue Dec 23 05:02:46 2014  cycles contain 703012 unique relations
Tue Dec 23 05:02:51 2014  read 703012 relations
Tue Dec 23 05:02:53 2014  multiplying 703012 relations
Tue Dec 23 05:03:19 2014  multiply complete, coefficients have about 28.73 million bits
Tue Dec 23 05:03:19 2014  initial square root is modulo 178014911
Tue Dec 23 05:03:56 2014  sqrtTime: 70
--
n: 6177603482880125211284240688402787988964625207195051801360377912394530891666047067364788233117823332254897
skew: 19204965.66
c0: 7606215601224317905023261554769
c1: 337869869031284866618812
c2: -205636042292819413
c3: -2339791168
c4: 240
Y0: -71228258477035287541358024
Y1: 8691836040113
rlim: 2640000
alim: 2640000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:20:20 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 20 秒 (日本時間)
4511e6600 / 4409Pierre JammesDecember 22, 2014 16:58:53 UTC 2014 年 12 月 23 日 (火) 1 時 58 分 53 秒 (日本時間)

10160-613

c132

name 名前Cyp
date 日付December 27, 2014 20:51:59 UTC 2014 年 12 月 28 日 (日) 5 時 51 分 59 秒 (日本時間)
composite number 合成数
246832385580182238811529268771988752058451427795186857637160831695827967536915222298015745859613707331763435403747804518606436149021<132>
prime factors 素因数
1578581483179461910305263917730162804620754778226206103985300369<64>
156363411208289817709867348518194377143531502308708869787206871215309<69>
factorization results 素因数分解の結果
12/27/14 19:18:02 v1.34.3, 
12/27/14 19:18:02 v1.34.3, ****************************
12/27/14 19:18:02 v1.34.3, Starting factorization of 246832385580182238811529268771988752058451427795186857637160831695827967536915222298015745859613707331763435403747804518606436149021
12/27/14 19:18:02 v1.34.3, using pretesting plan: none
12/27/14 19:18:02 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/27/14 19:18:02 v1.34.3, ****************************
12/27/14 19:18:02 v1.34.3, nfs: commencing nfs on c132: 246832385580182238811529268771988752058451427795186857637160831695827967536915222298015745859613707331763435403747804518606436149021
12/27/14 19:18:02 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/27/14 19:18:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/27/14 19:19:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
[109 lines snipped]
12/27/14 21:35:06 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/27/14 21:36:21 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/27/14 21:37:36 v1.34.3, nfs: commencing msieve filtering
12/27/14 21:39:53 v1.34.3, nfs: commencing msieve linear algebra
12/27/14 21:47:52 v1.34.3, nfs: commencing msieve sqrt
12/27/14 21:51:58 v1.34.3, prp64 = 1578581483179461910305263917730162804620754778226206103985300369
12/27/14 21:51:58 v1.34.3, prp69 = 156363411208289817709867348518194377143531502308708869787206871215309
12/27/14 21:51:58 v1.34.3, NFS elapsed time = 9236.1996 seconds.
12/27/14 21:51:58 v1.34.3, 
12/27/14 21:51:58 v1.34.3, 
12/27/14 21:51:58 v1.34.3, Total factoring time = 9236.2003 seconds
--
Sat Dec 27 21:37:36 2014  
Sat Dec 27 21:37:36 2014  commencing relation filtering
Sat Dec 27 21:37:36 2014  estimated available RAM is 15987.3 MB
Sat Dec 27 21:37:36 2014  commencing duplicate removal, pass 1
Sat Dec 27 21:38:09 2014  found 1444373 hash collisions in 10096322 relations
Sat Dec 27 21:38:17 2014  added 363976 free relations
Sat Dec 27 21:38:17 2014  commencing duplicate removal, pass 2
Sat Dec 27 21:38:26 2014  found 1030446 duplicates and 9429852 unique relations
Sat Dec 27 21:38:26 2014  memory use: 41.3 MB
Sat Dec 27 21:38:26 2014  reading ideals above 100000
Sat Dec 27 21:38:26 2014  commencing singleton removal, initial pass
Sat Dec 27 21:39:20 2014  memory use: 188.2 MB
Sat Dec 27 21:39:20 2014  reading all ideals from disk
Sat Dec 27 21:39:20 2014  memory use: 319.8 MB
Sat Dec 27 21:39:20 2014  keeping 10100622 ideals with weight <= 200, target excess is 45934
Sat Dec 27 21:39:21 2014  commencing in-memory singleton removal
Sat Dec 27 21:39:22 2014  begin with 9429852 relations and 10100622 unique ideals
Sat Dec 27 21:39:26 2014  reduce to 4062796 relations and 3521525 ideals in 13 passes
Sat Dec 27 21:39:26 2014  max relations containing the same ideal: 117
Sat Dec 27 21:39:28 2014  removing 1055844 relations and 811850 ideals in 243994 cliques
Sat Dec 27 21:39:28 2014  commencing in-memory singleton removal
Sat Dec 27 21:39:28 2014  begin with 3006952 relations and 3521525 unique ideals
Sat Dec 27 21:39:30 2014  reduce to 2788912 relations and 2474598 ideals in 9 passes
Sat Dec 27 21:39:30 2014  max relations containing the same ideal: 91
Sat Dec 27 21:39:31 2014  removing 849595 relations and 605601 ideals in 243994 cliques
Sat Dec 27 21:39:31 2014  commencing in-memory singleton removal
Sat Dec 27 21:39:31 2014  begin with 1939317 relations and 2474598 unique ideals
Sat Dec 27 21:39:33 2014  reduce to 1752270 relations and 1664578 ideals in 11 passes
Sat Dec 27 21:39:33 2014  max relations containing the same ideal: 64
Sat Dec 27 21:39:33 2014  removing 187023 relations and 152615 ideals in 34408 cliques
Sat Dec 27 21:39:34 2014  commencing in-memory singleton removal
Sat Dec 27 21:39:34 2014  begin with 1565247 relations and 1664578 unique ideals
Sat Dec 27 21:39:34 2014  reduce to 1551840 relations and 1498301 ideals in 8 passes
Sat Dec 27 21:39:34 2014  max relations containing the same ideal: 60
Sat Dec 27 21:39:35 2014  relations with 0 large ideals: 991
Sat Dec 27 21:39:35 2014  relations with 1 large ideals: 626
Sat Dec 27 21:39:35 2014  relations with 2 large ideals: 9450
Sat Dec 27 21:39:35 2014  relations with 3 large ideals: 62220
Sat Dec 27 21:39:35 2014  relations with 4 large ideals: 212214
Sat Dec 27 21:39:35 2014  relations with 5 large ideals: 402852
Sat Dec 27 21:39:35 2014  relations with 6 large ideals: 457128
Sat Dec 27 21:39:35 2014  relations with 7+ large ideals: 406359
Sat Dec 27 21:39:35 2014  commencing 2-way merge
Sat Dec 27 21:39:36 2014  reduce to 929908 relation sets and 876369 unique ideals
Sat Dec 27 21:39:36 2014  commencing full merge
Sat Dec 27 21:39:48 2014  memory use: 112.7 MB
Sat Dec 27 21:39:48 2014  found 475648 cycles, need 468569
Sat Dec 27 21:39:48 2014  weight of 468569 cycles is about 33050840 (70.54/cycle)
Sat Dec 27 21:39:48 2014  distribution of cycle lengths:
Sat Dec 27 21:39:48 2014  1 relations: 45441
Sat Dec 27 21:39:48 2014  2 relations: 47897
Sat Dec 27 21:39:48 2014  3 relations: 47602
Sat Dec 27 21:39:48 2014  4 relations: 45796
Sat Dec 27 21:39:48 2014  5 relations: 43926
Sat Dec 27 21:39:48 2014  6 relations: 40655
Sat Dec 27 21:39:48 2014  7 relations: 36805
Sat Dec 27 21:39:48 2014  8 relations: 32545
Sat Dec 27 21:39:48 2014  9 relations: 27857
Sat Dec 27 21:39:48 2014  10+ relations: 100045
Sat Dec 27 21:39:48 2014  heaviest cycle: 21 relations
Sat Dec 27 21:39:48 2014  commencing cycle optimization
Sat Dec 27 21:39:49 2014  start with 2951707 relations
Sat Dec 27 21:39:52 2014  pruned 79939 relations
Sat Dec 27 21:39:52 2014  memory use: 93.5 MB
Sat Dec 27 21:39:52 2014  distribution of cycle lengths:
Sat Dec 27 21:39:52 2014  1 relations: 45441
Sat Dec 27 21:39:52 2014  2 relations: 48813
Sat Dec 27 21:39:52 2014  3 relations: 49270
Sat Dec 27 21:39:52 2014  4 relations: 46876
Sat Dec 27 21:39:52 2014  5 relations: 45362
Sat Dec 27 21:39:52 2014  6 relations: 41641
Sat Dec 27 21:39:52 2014  7 relations: 37718
Sat Dec 27 21:39:52 2014  8 relations: 32967
Sat Dec 27 21:39:52 2014  9 relations: 28164
Sat Dec 27 21:39:52 2014  10+ relations: 92317
Sat Dec 27 21:39:52 2014  heaviest cycle: 21 relations
Sat Dec 27 21:39:53 2014  RelProcTime: 137
Sat Dec 27 21:39:53 2014  
Sat Dec 27 21:39:53 2014  commencing linear algebra
Sat Dec 27 21:39:53 2014  read 468569 cycles
Sat Dec 27 21:39:54 2014  cycles contain 1513639 unique relations
Sat Dec 27 21:40:04 2014  read 1513639 relations
Sat Dec 27 21:40:06 2014  using 20 quadratic characters above 134210540
Sat Dec 27 21:40:10 2014  building initial matrix
Sat Dec 27 21:40:20 2014  memory use: 184.6 MB
Sat Dec 27 21:40:21 2014  read 468569 cycles
Sat Dec 27 21:40:21 2014  matrix is 468392 x 468569 (140.3 MB) with weight 42338799 (90.36/col)
Sat Dec 27 21:40:21 2014  sparse part has weight 31634498 (67.51/col)
Sat Dec 27 21:40:23 2014  filtering completed in 2 passes
Sat Dec 27 21:40:23 2014  matrix is 468238 x 468415 (140.3 MB) with weight 42333027 (90.38/col)
Sat Dec 27 21:40:23 2014  sparse part has weight 31632423 (67.53/col)
Sat Dec 27 21:40:24 2014  matrix starts at (0, 0)
Sat Dec 27 21:40:25 2014  matrix is 468238 x 468415 (140.3 MB) with weight 42333027 (90.38/col)
Sat Dec 27 21:40:25 2014  sparse part has weight 31632423 (67.53/col)
Sat Dec 27 21:40:25 2014  saving the first 48 matrix rows for later
Sat Dec 27 21:40:25 2014  matrix includes 64 packed rows
Sat Dec 27 21:40:25 2014  matrix is 468190 x 468415 (132.9 MB) with weight 33411223 (71.33/col)
Sat Dec 27 21:40:25 2014  sparse part has weight 30145341 (64.36/col)
Sat Dec 27 21:40:25 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 27 21:40:26 2014  commencing Lanczos iteration (8 threads)
Sat Dec 27 21:40:26 2014  memory use: 127.6 MB
Sat Dec 27 21:40:37 2014  linear algebra at 2.6%, ETA 0h 6m
Sat Dec 27 21:47:51 2014  lanczos halted after 7405 iterations (dim = 468189)
Sat Dec 27 21:47:52 2014  recovered 36 nontrivial dependencies
Sat Dec 27 21:47:52 2014  BLanczosTime: 479
Sat Dec 27 21:47:52 2014  
Sat Dec 27 21:47:52 2014  commencing square root phase
Sat Dec 27 21:47:52 2014  reading relations for dependency 1
Sat Dec 27 21:47:52 2014  read 234306 cycles
Sat Dec 27 21:47:52 2014  cycles contain 757552 unique relations
Sat Dec 27 21:48:03 2014  read 757552 relations
Sat Dec 27 21:48:06 2014  multiplying 757552 relations
Sat Dec 27 21:48:18 2014  multiply complete, coefficients have about 16.00 million bits
Sat Dec 27 21:48:18 2014  initial square root is modulo 1548538801
Sat Dec 27 21:48:29 2014  Newton iteration failed to converge
Sat Dec 27 21:48:29 2014  algebraic square root failed
Sat Dec 27 21:48:29 2014  reading relations for dependency 2
Sat Dec 27 21:48:29 2014  read 234364 cycles
Sat Dec 27 21:48:30 2014  cycles contain 757334 unique relations
Sat Dec 27 21:48:38 2014  read 757334 relations
Sat Dec 27 21:48:40 2014  multiplying 757334 relations
Sat Dec 27 21:48:50 2014  multiply complete, coefficients have about 15.99 million bits
Sat Dec 27 21:48:50 2014  initial square root is modulo 1542783491
Sat Dec 27 21:49:02 2014  GCD is 1, no factor found
Sat Dec 27 21:49:02 2014  reading relations for dependency 3
Sat Dec 27 21:49:02 2014  read 234219 cycles
Sat Dec 27 21:49:02 2014  cycles contain 756918 unique relations
Sat Dec 27 21:49:10 2014  read 756918 relations
Sat Dec 27 21:49:12 2014  multiplying 756918 relations
Sat Dec 27 21:49:27 2014  multiply complete, coefficients have about 15.99 million bits
Sat Dec 27 21:49:27 2014  initial square root is modulo 1527900761
Sat Dec 27 21:49:41 2014  GCD is 1, no factor found
Sat Dec 27 21:49:41 2014  reading relations for dependency 4
Sat Dec 27 21:49:41 2014  read 233512 cycles
Sat Dec 27 21:49:42 2014  cycles contain 755600 unique relations
Sat Dec 27 21:49:52 2014  read 755600 relations
Sat Dec 27 21:49:55 2014  multiplying 755600 relations
Sat Dec 27 21:50:05 2014  multiply complete, coefficients have about 15.96 million bits
Sat Dec 27 21:50:05 2014  initial square root is modulo 1469687851
Sat Dec 27 21:50:16 2014  Newton iteration failed to converge
Sat Dec 27 21:50:16 2014  algebraic square root failed
Sat Dec 27 21:50:16 2014  reading relations for dependency 5
Sat Dec 27 21:50:16 2014  read 233932 cycles
Sat Dec 27 21:50:17 2014  cycles contain 755772 unique relations
Sat Dec 27 21:50:25 2014  read 755772 relations
Sat Dec 27 21:50:27 2014  multiplying 755772 relations
Sat Dec 27 21:50:41 2014  multiply complete, coefficients have about 15.96 million bits
Sat Dec 27 21:50:41 2014  initial square root is modulo 1473429691
Sat Dec 27 21:50:53 2014  GCD is 1, no factor found
Sat Dec 27 21:50:53 2014  reading relations for dependency 6
Sat Dec 27 21:50:53 2014  read 233665 cycles
Sat Dec 27 21:50:53 2014  cycles contain 755054 unique relations
Sat Dec 27 21:51:01 2014  read 755054 relations
Sat Dec 27 21:51:03 2014  multiplying 755054 relations
Sat Dec 27 21:51:13 2014  multiply complete, coefficients have about 15.94 million bits
Sat Dec 27 21:51:13 2014  initial square root is modulo 1446367061
Sat Dec 27 21:51:25 2014  Newton iteration failed to converge
Sat Dec 27 21:51:25 2014  algebraic square root failed
Sat Dec 27 21:51:25 2014  reading relations for dependency 7
Sat Dec 27 21:51:25 2014  read 234270 cycles
Sat Dec 27 21:51:25 2014  cycles contain 756420 unique relations
Sat Dec 27 21:51:34 2014  read 756420 relations
Sat Dec 27 21:51:36 2014  multiplying 756420 relations
Sat Dec 27 21:51:46 2014  multiply complete, coefficients have about 15.97 million bits
Sat Dec 27 21:51:46 2014  initial square root is modulo 1504975751
Sat Dec 27 21:51:58 2014  sqrtTime: 246
--
n: 246832385580182238811529268771988752058451427795186857637160831695827967536915222298015745859613707331763435403747804518606436149021
m: 100000000000000000000000000000000
deg: 5
c5: 1
c0: -61
skew: 2.28
# Murphy_E = 8.191e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:20:20 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 20 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:47 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 47 秒 (日本時間)

10162-613

c156

name 名前Serge Batalov
date 日付December 21, 2014 01:53:08 UTC 2014 年 12 月 21 日 (日) 10 時 53 分 8 秒 (日本時間)
composite number 合成数
269256048231297407575842024245430119035406362574270915204000498662201324362798830459428902536580453572583487549734957808923522396852719903434010862327497747<156>
prime factors 素因数
15398425149573521885182918565787036491<38>
17485947141727982575454302722922928430511202246013313212374591732795494917433118118584536391156085057872347298898691417<119>
factorization results 素因数分解の結果
Input number is 269256048231297407575842024245430119035406362574270915204000498662201324362798830459428902536580453572583487549734957808923522396852719903434010862327497747 (156 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=275222730
Step 1 took 11124ms
Step 2 took 8061ms
********** Factor found in step 2: 15398425149573521885182918565787036491
Found probable prime factor of 38 digits: 15398425149573521885182918565787036491
Probable prime cofactor 17485947141727982575454302722922928430511202246013313212374591732795494917433118118584536391156085057872347298898691417 has 119 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:20:21 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 21 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:48 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 48 秒 (日本時間)

10164-613

c153

name 名前Jo Yeong Uk
date 日付February 7, 2015 23:46:47 UTC 2015 年 2 月 8 日 (日) 8 時 46 分 47 秒 (日本時間)
composite number 合成数
217153789240697909263531819647156938391073350732131362983665778185540569714674093240908573211999573197960053039841078310034235787523797129180614696106043<153>
prime factors 素因数
301540739029124398055789703478830869173755351424891738875467<60>
720147433278407030626386561709502213909105030991621567500458658404345274435656706335280152529<93>
factorization results 素因数分解の結果
Number: 33313_164
N=217153789240697909263531819647156938391073350732131362983665778185540569714674093240908573211999573197960053039841078310034235787523797129180614696106043
  ( 153 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=301540739029124398055789703478830869173755351424891738875467
 r2=720147433278407030626386561709502213909105030991621567500458658404345274435656706335280152529
Version: 
Total time: 12.81 hours.
Scaled time: 65.93 units (timescale=5.147).
Factorization parameters were as follows:
n: 217153789240697909263531819647156938391073350732131362983665778185540569714674093240908573211999573197960053039841078310034235787523797129180614696106043
m: 1000000000000000000000000000000000
deg: 5
c5: 1
c0: -610
skew: 3.61
# Murphy_E = 3.591e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 3900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9790150
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 714536 x 714784
Total sieving time: 11.87 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 0.48 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 12.81 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400121)
Total of 12 processors activated (81602.90 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:20:21 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 21 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:48 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 48 秒 (日本時間)

10166-613

c123

name 名前Pierre Jammes
date 日付December 26, 2014 20:40:02 UTC 2014 年 12 月 27 日 (土) 5 時 40 分 2 秒 (日本時間)
composite number 合成数
690619641493574869577229682560023357760534619355152135656676309049917590669233326299385068566168828222344268833729958675477<123>
prime factors 素因数
2060225387432972538911242587891671<34>
composite cofactor 合成数の残り
335215576754969736826679498551964097570160745747078472996366860955789362067427970849523187<90>
factorization results 素因数分解の結果
Using B1=11000000, B2=144269945836, polynomial Dickson(12), sigma=2568688555
Step 1 took 68652ms
Step 2 took 56096ms
********** Factor found in step 2: 2060225387432972538911242587891671
Found probable prime factor of 34 digits: 2060225387432972538911242587891671
Composite cofactor 335215576754969736826679498551964097570160745747078472996366860955789362067427970849523187 has 90 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Debian 8

c90

name 名前Pierre Jammes
date 日付December 27, 2014 13:35:16 UTC 2014 年 12 月 27 日 (土) 22 時 35 分 16 秒 (日本時間)
composite number 合成数
335215576754969736826679498551964097570160745747078472996366860955789362067427970849523187<90>
prime factors 素因数
340116616192216609944031295342383924331<39>
985590120553013337812493559101968711522857167578777<51>
factorization results 素因数分解の結果
Using B1=11000000, B2=144269945836, polynomial Dickson(12), sigma=1062156401
Step 1 took 42964ms
Step 2 took 40372ms
********** Factor found in step 2: 340116616192216609944031295342383924331
Found probable prime factor of 39 digits: 340116616192216609944031295342383924331
Probable prime cofactor 985590120553013337812493559101968711522857167578777 has 51 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Debian 8

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:20:22 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 22 秒 (日本時間)

10168-613

c142

name 名前Jo Yeong Uk
date 日付March 24, 2015 11:37:21 UTC 2015 年 3 月 24 日 (火) 20 時 37 分 21 秒 (日本時間)
composite number 合成数
4127654878950657068927013538395084668034027102157571691586304360539873907766037148722525486501865177620070338351201439517404003161700375400301<142>
prime factors 素因数
31202117164608383081311033921993641613<38>
132287653981138531256447807338038648183679333646905709553164141463160163408348502730354341215303093959777<105>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 4127654878950657068927013538395084668034027102157571691586304360539873907766037148722525486501865177620070338351201439517404003161700375400301 (142 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2616690781
Step 1 took 24482ms
********** Factor found in step 1: 31202117164608383081311033921993641613
Found probable prime factor of 38 digits: 31202117164608383081311033921993641613
Probable prime cofactor 132287653981138531256447807338038648183679333646905709553164141463160163408348502730354341215303093959777 has 105 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62950300Serge BatalovDecember 20, 2014 21:20:22 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 22 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:48 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 48 秒 (日本時間)
2350Ignacio SantosFebruary 19, 2015 18:49:57 UTC 2015 年 2 月 20 日 (金) 3 時 49 分 57 秒 (日本時間)

10169-613

c133

name 名前Jo Yeong Uk
date 日付April 4, 2015 14:23:12 UTC 2015 年 4 月 4 日 (土) 23 時 23 分 12 秒 (日本時間)
composite number 合成数
5141754491206674700759313419277502581241709169168832809747441118285063904692817523013151430657403647984353928504776761673687864012577<133>
prime factors 素因数
375551682524033869726896285862618972965581664598840597<54>
13691203449415040500189049939609827893260670456532422760170761999955725462277341<80>
factorization results 素因数分解の結果
Number: 33313_169
N=5141754491206674700759313419277502581241709169168832809747441118285063904692817523013151430657403647984353928504776761673687864012577
  ( 133 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=375551682524033869726896285862618972965581664598840597
 r2=13691203449415040500189049939609827893260670456532422760170761999955725462277341
Version: 
Total time: 20.24 hours.
Scaled time: 106.00 units (timescale=5.238).
Factorization parameters were as follows:
n: 5141754491206674700759313419277502581241709169168832809747441118285063904692817523013151430657403647984353928504776761673687864012577
m: 10000000000000000000000000000000000
deg: 5
c5: 1
c0: -610
skew: 3.61
# Murphy_E = 2.283e-10
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 5500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11032222
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 962387 x 962635
Total sieving time: 18.54 hours.
Total relation processing time: 0.70 hours.
Matrix solve time: 0.91 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000
total time: 20.24 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62950300Serge BatalovDecember 20, 2014 21:20:23 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 23 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:49 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 49 秒 (日本時間)
2350Ignacio SantosFebruary 15, 2015 23:38:34 UTC 2015 年 2 月 16 日 (月) 8 時 38 分 34 秒 (日本時間)

10174-613

c140

name 名前Cyp
date 日付May 8, 2015 15:09:38 UTC 2015 年 5 月 9 日 (土) 0 時 9 分 38 秒 (日本時間)
composite number 合成数
28719041356421132181580407163908206958633357747693744648237084211882763768789498199452880328863968734483800741060444584811416523131339324513<140>
prime factors 素因数
316637931065448561197501260328208591276576850799732483<54>
90699940022299323344243479387997642006545884128136485321201086578337697608396793278411<86>
factorization results 素因数分解の結果
05/08/15 07:55:00 v1.34.3, 
05/08/15 07:55:00 v1.34.3, ****************************
05/08/15 07:55:00 v1.34.3, Starting factorization of 28719041356421132181580407163908206958633357747693744648237084211882763768789498199452880328863968734483800741060444584811416523131339324513
05/08/15 07:55:00 v1.34.3, using pretesting plan: none
05/08/15 07:55:00 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
05/08/15 07:55:00 v1.34.3, ****************************
05/08/15 07:55:00 v1.34.3, nfs: commencing nfs on c140: 28719041356421132181580407163908206958633357747693744648237084211882763768789498199452880328863968734483800741060444584811416523131339324513
05/08/15 07:55:00 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
05/08/15 07:55:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/08/15 07:58:58 v1.34.3, nfs: commencing lattice sieving with 8 threads
[108 lines snipped]
05/08/15 15:21:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/08/15 15:25:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/08/15 15:29:48 v1.34.3, nfs: commencing msieve filtering
05/08/15 15:31:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/08/15 15:35:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
[3 lines snipped]
05/08/15 15:52:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/08/15 15:56:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/08/15 16:00:06 v1.34.3, nfs: commencing msieve filtering
05/08/15 16:01:49 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/08/15 16:05:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
[3 lines snipped]
05/08/15 16:22:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/08/15 16:26:17 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/08/15 16:30:25 v1.34.3, nfs: commencing msieve filtering
05/08/15 16:32:44 v1.34.3, nfs: commencing msieve linear algebra
05/08/15 17:04:57 v1.34.3, nfs: commencing msieve sqrt
05/08/15 17:09:37 v1.34.3, prp86 = 90699940022299323344243479387997642006545884128136485321201086578337697608396793278411
05/08/15 17:09:37 v1.34.3, prp54 = 316637931065448561197501260328208591276576850799732483
05/08/15 17:09:37 v1.34.3, NFS elapsed time = 33277.6923 seconds.
05/08/15 17:09:37 v1.34.3, 
05/08/15 17:09:37 v1.34.3, 
05/08/15 17:09:37 v1.34.3, Total factoring time = 33277.6930 seconds
--
Fri May  8 15:29:48 2015  
Fri May  8 15:29:48 2015  commencing relation filtering
Fri May  8 15:29:48 2015  estimated available RAM is 15987.3 MB
Fri May  8 15:29:48 2015  commencing duplicate removal, pass 1
Fri May  8 15:30:16 2015  found 1440604 hash collisions in 10111618 relations
Fri May  8 15:30:25 2015  added 371071 free relations
Fri May  8 15:30:25 2015  commencing duplicate removal, pass 2
Fri May  8 15:30:34 2015  found 1026634 duplicates and 9456055 unique relations
Fri May  8 15:30:34 2015  memory use: 41.3 MB
Fri May  8 15:30:34 2015  reading ideals above 100000
Fri May  8 15:30:34 2015  commencing singleton removal, initial pass
Fri May  8 15:31:19 2015  memory use: 344.5 MB
Fri May  8 15:31:19 2015  reading all ideals from disk
Fri May  8 15:31:19 2015  memory use: 349.1 MB
Fri May  8 15:31:19 2015  keeping 10967784 ideals with weight <= 200, target excess is 48892
Fri May  8 15:31:20 2015  commencing in-memory singleton removal
Fri May  8 15:31:20 2015  begin with 9456055 relations and 10967784 unique ideals
Fri May  8 15:31:24 2015  reduce to 3227007 relations and 3406267 ideals in 21 passes
Fri May  8 15:31:24 2015  max relations containing the same ideal: 95
Fri May  8 16:00:06 2015  
Fri May  8 16:00:06 2015  commencing relation filtering
Fri May  8 16:00:06 2015  estimated available RAM is 15987.3 MB
Fri May  8 16:00:06 2015  commencing duplicate removal, pass 1
Fri May  8 16:00:40 2015  found 1622572 hash collisions in 11064842 relations
Fri May  8 16:00:50 2015  added 1311 free relations
Fri May  8 16:00:50 2015  commencing duplicate removal, pass 2
Fri May  8 16:00:59 2015  found 1131005 duplicates and 9935148 unique relations
Fri May  8 16:00:59 2015  memory use: 41.3 MB
Fri May  8 16:00:59 2015  reading ideals above 100000
Fri May  8 16:00:59 2015  commencing singleton removal, initial pass
Fri May  8 16:01:43 2015  memory use: 344.5 MB
Fri May  8 16:01:43 2015  reading all ideals from disk
Fri May  8 16:01:44 2015  memory use: 367.0 MB
Fri May  8 16:01:44 2015  keeping 11154727 ideals with weight <= 200, target excess is 51596
Fri May  8 16:01:45 2015  commencing in-memory singleton removal
Fri May  8 16:01:45 2015  begin with 9935148 relations and 11154727 unique ideals
Fri May  8 16:01:49 2015  reduce to 3936700 relations and 3939576 ideals in 19 passes
Fri May  8 16:01:49 2015  max relations containing the same ideal: 105
Fri May  8 16:30:25 2015  
Fri May  8 16:30:25 2015  commencing relation filtering
Fri May  8 16:30:25 2015  estimated available RAM is 15987.3 MB
Fri May  8 16:30:25 2015  commencing duplicate removal, pass 1
Fri May  8 16:31:02 2015  found 1767236 hash collisions in 11641157 relations
Fri May  8 16:31:11 2015  added 1053 free relations
Fri May  8 16:31:11 2015  commencing duplicate removal, pass 2
Fri May  8 16:31:20 2015  found 1238051 duplicates and 10404159 unique relations
Fri May  8 16:31:20 2015  memory use: 45.3 MB
Fri May  8 16:31:20 2015  reading ideals above 720000
Fri May  8 16:31:21 2015  commencing singleton removal, initial pass
Fri May  8 16:32:04 2015  memory use: 344.5 MB
Fri May  8 16:32:04 2015  reading all ideals from disk
Fri May  8 16:32:04 2015  memory use: 310.6 MB
Fri May  8 16:32:04 2015  commencing in-memory singleton removal
Fri May  8 16:32:05 2015  begin with 10404159 relations and 11264487 unique ideals
Fri May  8 16:32:09 2015  reduce to 4603358 relations and 4347014 ideals in 16 passes
Fri May  8 16:32:09 2015  max relations containing the same ideal: 78
Fri May  8 16:32:10 2015  removing 530965 relations and 470084 ideals in 60882 cliques
Fri May  8 16:32:10 2015  commencing in-memory singleton removal
Fri May  8 16:32:10 2015  begin with 4072393 relations and 4347014 unique ideals
Fri May  8 16:32:12 2015  reduce to 4018162 relations and 3821679 ideals in 10 passes
Fri May  8 16:32:12 2015  max relations containing the same ideal: 69
Fri May  8 16:32:13 2015  removing 396626 relations and 335744 ideals in 60882 cliques
Fri May  8 16:32:13 2015  commencing in-memory singleton removal
Fri May  8 16:32:13 2015  begin with 3621536 relations and 3821679 unique ideals
Fri May  8 16:32:14 2015  reduce to 3587077 relations and 3450903 ideals in 10 passes
Fri May  8 16:32:14 2015  max relations containing the same ideal: 62
Fri May  8 16:32:16 2015  relations with 0 large ideals: 2886
Fri May  8 16:32:16 2015  relations with 1 large ideals: 1982
Fri May  8 16:32:16 2015  relations with 2 large ideals: 27573
Fri May  8 16:32:16 2015  relations with 3 large ideals: 166409
Fri May  8 16:32:16 2015  relations with 4 large ideals: 524903
Fri May  8 16:32:16 2015  relations with 5 large ideals: 951865
Fri May  8 16:32:16 2015  relations with 6 large ideals: 1037472
Fri May  8 16:32:16 2015  relations with 7+ large ideals: 873987
Fri May  8 16:32:16 2015  commencing 2-way merge
Fri May  8 16:32:17 2015  reduce to 2144699 relation sets and 2008525 unique ideals
Fri May  8 16:32:17 2015  commencing full merge
Fri May  8 16:32:36 2015  memory use: 239.5 MB
Fri May  8 16:32:36 2015  found 1076896 cycles, need 1058725
Fri May  8 16:32:36 2015  weight of 1058725 cycles is about 74337037 (70.21/cycle)
Fri May  8 16:32:36 2015  distribution of cycle lengths:
Fri May  8 16:32:36 2015  1 relations: 140765
Fri May  8 16:32:36 2015  2 relations: 124020
Fri May  8 16:32:36 2015  3 relations: 119334
Fri May  8 16:32:36 2015  4 relations: 105885
Fri May  8 16:32:36 2015  5 relations: 95837
Fri May  8 16:32:36 2015  6 relations: 81641
Fri May  8 16:32:36 2015  7 relations: 71270
Fri May  8 16:32:36 2015  8 relations: 61286
Fri May  8 16:32:36 2015  9 relations: 52285
Fri May  8 16:32:36 2015  10+ relations: 206402
Fri May  8 16:32:36 2015  heaviest cycle: 22 relations
Fri May  8 16:32:37 2015  commencing cycle optimization
Fri May  8 16:32:38 2015  start with 6244656 relations
Fri May  8 16:32:43 2015  pruned 150176 relations
Fri May  8 16:32:43 2015  memory use: 206.2 MB
Fri May  8 16:32:43 2015  distribution of cycle lengths:
Fri May  8 16:32:43 2015  1 relations: 140765
Fri May  8 16:32:43 2015  2 relations: 126794
Fri May  8 16:32:43 2015  3 relations: 123389
Fri May  8 16:32:43 2015  4 relations: 108385
Fri May  8 16:32:43 2015  5 relations: 97760
Fri May  8 16:32:43 2015  6 relations: 82835
Fri May  8 16:32:43 2015  7 relations: 72229
Fri May  8 16:32:43 2015  8 relations: 61104
Fri May  8 16:32:43 2015  9 relations: 51668
Fri May  8 16:32:43 2015  10+ relations: 193796
Fri May  8 16:32:43 2015  heaviest cycle: 22 relations
Fri May  8 16:32:44 2015  RelProcTime: 139
Fri May  8 16:32:44 2015  
Fri May  8 16:32:44 2015  commencing linear algebra
Fri May  8 16:32:44 2015  read 1058725 cycles
Fri May  8 16:32:45 2015  cycles contain 3453129 unique relations
Fri May  8 16:33:00 2015  read 3453129 relations
Fri May  8 16:33:03 2015  using 20 quadratic characters above 134217690
Fri May  8 16:33:13 2015  building initial matrix
Fri May  8 16:33:32 2015  memory use: 418.1 MB
Fri May  8 16:33:32 2015  read 1058725 cycles
Fri May  8 16:33:32 2015  matrix is 1058547 x 1058725 (317.2 MB) with weight 93244283 (88.07/col)
Fri May  8 16:33:32 2015  sparse part has weight 71507949 (67.54/col)
Fri May  8 16:33:38 2015  filtering completed in 2 passes
Fri May  8 16:33:38 2015  matrix is 1056586 x 1056764 (317.0 MB) with weight 93176257 (88.17/col)
Fri May  8 16:33:38 2015  sparse part has weight 71480925 (67.64/col)
Fri May  8 16:33:41 2015  matrix starts at (0, 0)
Fri May  8 16:33:41 2015  matrix is 1056586 x 1056764 (317.0 MB) with weight 93176257 (88.17/col)
Fri May  8 16:33:41 2015  sparse part has weight 71480925 (67.64/col)
Fri May  8 16:33:41 2015  saving the first 48 matrix rows for later
Fri May  8 16:33:41 2015  matrix includes 64 packed rows
Fri May  8 16:33:41 2015  matrix is 1056538 x 1056764 (299.7 MB) with weight 74087676 (70.11/col)
Fri May  8 16:33:41 2015  sparse part has weight 67998512 (64.35/col)
Fri May  8 16:33:41 2015  using block size 65536 for processor cache size 8192 kB
Fri May  8 16:33:43 2015  commencing Lanczos iteration (8 threads)
Fri May  8 16:33:43 2015  memory use: 293.5 MB
Fri May  8 16:33:46 2015  linear algebra at 0.1%, ETA 0h34m
Fri May  8 16:33:47 2015  checkpointing every 1830000 dimensions
Fri May  8 17:04:56 2015  lanczos halted after 16710 iterations (dim = 1056538)
Fri May  8 17:04:57 2015  recovered 40 nontrivial dependencies
Fri May  8 17:04:57 2015  BLanczosTime: 1933
Fri May  8 17:04:57 2015  
Fri May  8 17:04:57 2015  commencing square root phase
Fri May  8 17:04:57 2015  reading relations for dependency 1
Fri May  8 17:04:57 2015  read 527830 cycles
Fri May  8 17:04:57 2015  cycles contain 1723090 unique relations
Fri May  8 17:05:09 2015  read 1723090 relations
Fri May  8 17:05:13 2015  multiplying 1723090 relations
Fri May  8 17:05:47 2015  multiply complete, coefficients have about 45.48 million bits
Fri May  8 17:05:47 2015  initial square root is modulo 3385441
Fri May  8 17:06:30 2015  GCD is 1, no factor found
Fri May  8 17:06:30 2015  reading relations for dependency 2
Fri May  8 17:06:30 2015  read 528164 cycles
Fri May  8 17:06:31 2015  cycles contain 1725766 unique relations
Fri May  8 17:06:42 2015  read 1725766 relations
Fri May  8 17:06:46 2015  multiplying 1725766 relations
Fri May  8 17:07:19 2015  multiply complete, coefficients have about 45.55 million bits
Fri May  8 17:07:19 2015  initial square root is modulo 3466601
Fri May  8 17:08:03 2015  GCD is 1, no factor found
Fri May  8 17:08:03 2015  reading relations for dependency 3
Fri May  8 17:08:04 2015  read 528316 cycles
Fri May  8 17:08:04 2015  cycles contain 1725662 unique relations
Fri May  8 17:08:15 2015  read 1725662 relations
Fri May  8 17:08:19 2015  multiplying 1725662 relations
Fri May  8 17:08:54 2015  multiply complete, coefficients have about 45.55 million bits
Fri May  8 17:08:54 2015  initial square root is modulo 3460781
Fri May  8 17:09:37 2015  sqrtTime: 280
--
n: 28719041356421132181580407163908206958633357747693744648237084211882763768789498199452880328863968734483800741060444584811416523131339324513
m: 50000000000000000000000000000000000
deg: 5
c5: 16
c0: -305
skew: 1.80
# Murphy_E = 1.445e-10
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62950300Serge BatalovDecember 20, 2014 21:20:23 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 23 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:49 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 49 秒 (日本時間)
2350Ignacio SantosMarch 6, 2015 19:47:18 UTC 2015 年 3 月 7 日 (土) 4 時 47 分 18 秒 (日本時間)

10176-613

c163

name 名前Ben Meekins
date 日付August 23, 2015 02:49:21 UTC 2015 年 8 月 23 日 (日) 11 時 49 分 21 秒 (日本時間)
composite number 合成数
2446002261537543653751543823306167189045229189635791873956642378987349996697198829749847244794883129786748746652264411560823234346099012130727156415199237273909071<163>
prime factors 素因数
3700002935294177137780437668259416261961372045505823<52>
3888511506834788691397759151530644280111555610592589<52>
170008798146730331252457231389641237508850080623520004831893<60>
factorization results 素因数分解の結果
Number: 33313_176
N = 2446002261537543653751543823306167189045229189635791873956642378987349996697198829749847244794883129786748746652264411560823234346099012130727156415199237273909071 (163 digits)
SNFS difficulty: 176 digits.
Divisors found:
r1=3700002935294177137780437668259416261961372045505823 (pp52)
r2=3888511506834788691397759151530644280111555610592589 (pp52)
r3=170008798146730331252457231389641237508850080623520004831893 (pp60)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 10.31 hours.
Factorization parameters were as follows:
n: 2446002261537543653751543823306167189045229189635791873956642378987349996697198829749847244794883129786748746652264411560823234346099012130727156415199237273909071
m: 100000000000000000000000000000000000
deg: 5
c5: 10
c0: -61
skew: 1.44
# Murphy_E = 1.363e-10
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5

Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 18507610
Relations: 1967368 relations
Pruned matrix : 1155041 x 1155268
Polynomial selection time: 0.00 hours.
Total sieving time: 9.19 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.92 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: snfs,176,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,53,53,2.5,2.5,200000
total time: 10.31 hours.
x86_64
Linux-3.13.0-62-generic-x86_64-with-Ubuntu-14.04-trusty
processors: 4, speed: 3.20GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62950300Serge BatalovDecember 20, 2014 21:20:24 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 24 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:49 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 49 秒 (日本時間)
2350Ignacio SantosMarch 29, 2015 09:01:22 UTC 2015 年 3 月 29 日 (日) 18 時 1 分 22 秒 (日本時間)

10178-613

c95

name 名前Dmitry Domanov
date 日付December 19, 2014 14:15:14 UTC 2014 年 12 月 19 日 (金) 23 時 15 分 14 秒 (日本時間)
composite number 合成数
19419656267795251757494967286898650470075119612326615311646422364793928565638536350647226882401<95>
prime factors 素因数
13083400275622713136178345616696090340057<41>
1484297343098062503018022729194922206417688141665320393<55>
factorization results 素因数分解の結果
N=19419656267795251757494967286898650470075119612326615311646422364793928565638536350647226882401
  ( 95 digits)
Divisors found:
 r1=13083400275622713136178345616696090340057 (pp41)
 r2=1484297343098062503018022729194922206417688141665320393 (pp55)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.89 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 19419656267795251757494967286898650470075119612326615311646422364793928565638536350647226882401
skew: 475353.81
c0: 167528124935916051984916304
c1: -849352916681295224460
c2: -1315171874719675
c3: 5516621980
c4: 7956
Y0: -39526252224227563685633
Y1: 553064672525
rlim: 1500000
alim: 1500000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 50/50
Sieved algebraic special-q in [750000, 930001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 163705 x 163938
Total sieving time: 1.77 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,94,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,25,25,50,50,2.5,2.5,60000
total time: 1.89 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10179-613

c114

name 名前Cyp
date 日付December 21, 2014 13:02:16 UTC 2014 年 12 月 21 日 (日) 22 時 2 分 16 秒 (日本時間)
composite number 合成数
429203386268232720347554544632156180218686696361875544971878689227046671968153287825353555982469769945189133327829<114>
prime factors 素因数
240945519025694661566448084134826746598411267974090307449<57>
1781329605148050331680917438020156434127359311173197698621<58>
factorization results 素因数分解の結果
12/21/14 10:26:20 v1.34.3, 
12/21/14 10:26:20 v1.34.3, ****************************
12/21/14 10:26:20 v1.34.3, Starting factorization of 429203386268232720347554544632156180218686696361875544971878689227046671968153287825353555982469769945189133327829
12/21/14 10:26:20 v1.34.3, using pretesting plan: none
12/21/14 10:26:20 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/21/14 10:26:20 v1.34.3, ****************************
12/21/14 10:26:20 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C114
12/21/14 10:26:20 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C114
12/21/14 10:26:20 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C114
12/21/14 10:26:20 v1.34.3, final ECM pretested depth: 0.00
12/21/14 10:26:20 v1.34.3, scheduler: switching to sieve method
12/21/14 10:26:20 v1.34.3, nfs: commencing nfs on c114: 429203386268232720347554544632156180218686696361875544971878689227046671968153287825353555982469769945189133327829
12/21/14 10:26:20 v1.34.3, nfs: commencing poly selection with 8 threads
12/21/14 10:26:20 v1.34.3, nfs: setting deadline of 775 seconds
12/21/14 10:39:19 v1.34.3, nfs: completed 146 ranges of size 250 in 778.5892 seconds
12/21/14 10:39:19 v1.34.3, nfs: best poly = # norm 8.246281e-11 alpha -6.892851 e 6.303e-10 rroots 5
12/21/14 10:39:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 10:44:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
[19 lines snipped]
12/21/14 13:19:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 13:28:20 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 13:36:41 v1.34.3, nfs: commencing msieve filtering
12/21/14 13:40:08 v1.34.3, nfs: commencing msieve linear algebra
12/21/14 13:55:47 v1.34.3, nfs: commencing msieve sqrt
12/21/14 14:02:16 v1.34.3, prp58 = 1781329605148050331680917438020156434127359311173197698621
12/21/14 14:02:16 v1.34.3, prp57 = 240945519025694661566448084134826746598411267974090307449
12/21/14 14:02:16 v1.34.3, NFS elapsed time = 12955.6382 seconds.
12/21/14 14:02:16 v1.34.3, 
12/21/14 14:02:16 v1.34.3, 
12/21/14 14:02:16 v1.34.3, Total factoring time = 12955.6609 seconds
--
Sun Dec 21 13:36:41 2014  
Sun Dec 21 13:36:41 2014  commencing relation filtering
Sun Dec 21 13:36:41 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 13:36:41 2014  commencing duplicate removal, pass 1
Sun Dec 21 13:37:41 2014  found 1004339 hash collisions in 10049763 relations
Sun Dec 21 13:38:00 2014  added 63156 free relations
Sun Dec 21 13:38:00 2014  commencing duplicate removal, pass 2
Sun Dec 21 13:38:11 2014  found 435992 duplicates and 9676927 unique relations
Sun Dec 21 13:38:11 2014  memory use: 41.3 MB
Sun Dec 21 13:38:11 2014  reading ideals above 100000
Sun Dec 21 13:38:11 2014  commencing singleton removal, initial pass
Sun Dec 21 13:39:31 2014  memory use: 344.5 MB
Sun Dec 21 13:39:31 2014  reading all ideals from disk
Sun Dec 21 13:39:31 2014  memory use: 333.3 MB
Sun Dec 21 13:39:32 2014  keeping 10553020 ideals with weight <= 200, target excess is 56517
Sun Dec 21 13:39:33 2014  commencing in-memory singleton removal
Sun Dec 21 13:39:33 2014  begin with 9676927 relations and 10553020 unique ideals
Sun Dec 21 13:39:42 2014  reduce to 3511471 relations and 3226891 ideals in 20 passes
Sun Dec 21 13:39:42 2014  max relations containing the same ideal: 102
Sun Dec 21 13:39:43 2014  removing 761152 relations and 651642 ideals in 109510 cliques
Sun Dec 21 13:39:44 2014  commencing in-memory singleton removal
Sun Dec 21 13:39:44 2014  begin with 2750319 relations and 3226891 unique ideals
Sun Dec 21 13:39:46 2014  reduce to 2613351 relations and 2432470 ideals in 11 passes
Sun Dec 21 13:39:46 2014  max relations containing the same ideal: 82
Sun Dec 21 13:39:47 2014  removing 571944 relations and 462434 ideals in 109510 cliques
Sun Dec 21 13:39:47 2014  commencing in-memory singleton removal
Sun Dec 21 13:39:47 2014  begin with 2041407 relations and 2432470 unique ideals
Sun Dec 21 13:39:48 2014  reduce to 1935052 relations and 1858986 ideals in 11 passes
Sun Dec 21 13:39:48 2014  max relations containing the same ideal: 69
Sun Dec 21 13:39:49 2014  removing 91000 relations and 80494 ideals in 10506 cliques
Sun Dec 21 13:39:49 2014  commencing in-memory singleton removal
Sun Dec 21 13:39:49 2014  begin with 1844052 relations and 1858986 unique ideals
Sun Dec 21 13:39:49 2014  reduce to 1840981 relations and 1775403 ideals in 7 passes
Sun Dec 21 13:39:49 2014  max relations containing the same ideal: 67
Sun Dec 21 13:39:49 2014  relations with 0 large ideals: 233
Sun Dec 21 13:39:49 2014  relations with 1 large ideals: 1870
Sun Dec 21 13:39:49 2014  relations with 2 large ideals: 17465
Sun Dec 21 13:39:49 2014  relations with 3 large ideals: 90989
Sun Dec 21 13:39:49 2014  relations with 4 large ideals: 274691
Sun Dec 21 13:39:49 2014  relations with 5 large ideals: 487481
Sun Dec 21 13:39:49 2014  relations with 6 large ideals: 516553
Sun Dec 21 13:39:49 2014  relations with 7+ large ideals: 451699
Sun Dec 21 13:39:49 2014  commencing 2-way merge
Sun Dec 21 13:39:50 2014  reduce to 1030523 relation sets and 964944 unique ideals
Sun Dec 21 13:39:50 2014  commencing full merge
Sun Dec 21 13:40:02 2014  memory use: 107.5 MB
Sun Dec 21 13:40:02 2014  found 511664 cycles, need 503144
Sun Dec 21 13:40:02 2014  weight of 503144 cycles is about 35266298 (70.09/cycle)
Sun Dec 21 13:40:02 2014  distribution of cycle lengths:
Sun Dec 21 13:40:02 2014  1 relations: 55424
Sun Dec 21 13:40:02 2014  2 relations: 53344
Sun Dec 21 13:40:02 2014  3 relations: 53520
Sun Dec 21 13:40:02 2014  4 relations: 49718
Sun Dec 21 13:40:02 2014  5 relations: 47059
Sun Dec 21 13:40:02 2014  6 relations: 40727
Sun Dec 21 13:40:02 2014  7 relations: 36490
Sun Dec 21 13:40:02 2014  8 relations: 32004
Sun Dec 21 13:40:02 2014  9 relations: 27757
Sun Dec 21 13:40:02 2014  10+ relations: 107101
Sun Dec 21 13:40:02 2014  heaviest cycle: 21 relations
Sun Dec 21 13:40:02 2014  commencing cycle optimization
Sun Dec 21 13:40:03 2014  start with 3118809 relations
Sun Dec 21 13:40:07 2014  pruned 62574 relations
Sun Dec 21 13:40:07 2014  memory use: 105.6 MB
Sun Dec 21 13:40:07 2014  distribution of cycle lengths:
Sun Dec 21 13:40:07 2014  1 relations: 55424
Sun Dec 21 13:40:07 2014  2 relations: 54422
Sun Dec 21 13:40:07 2014  3 relations: 55125
Sun Dec 21 13:40:07 2014  4 relations: 50780
Sun Dec 21 13:40:07 2014  5 relations: 47870
Sun Dec 21 13:40:07 2014  6 relations: 41357
Sun Dec 21 13:40:07 2014  7 relations: 36871
Sun Dec 21 13:40:07 2014  8 relations: 31996
Sun Dec 21 13:40:07 2014  9 relations: 27765
Sun Dec 21 13:40:07 2014  10+ relations: 101534
Sun Dec 21 13:40:07 2014  heaviest cycle: 21 relations
Sun Dec 21 13:40:08 2014  RelProcTime: 207
Sun Dec 21 13:40:08 2014  
Sun Dec 21 13:40:08 2014  commencing linear algebra
Sun Dec 21 13:40:08 2014  read 503144 cycles
Sun Dec 21 13:40:09 2014  cycles contain 1782537 unique relations
Sun Dec 21 13:40:28 2014  read 1782537 relations
Sun Dec 21 13:40:30 2014  using 20 quadratic characters above 134217302
Sun Dec 21 13:40:38 2014  building initial matrix
Sun Dec 21 13:40:56 2014  memory use: 223.9 MB
Sun Dec 21 13:40:56 2014  read 503144 cycles
Sun Dec 21 13:40:56 2014  matrix is 502967 x 503144 (152.5 MB) with weight 49008620 (97.40/col)
Sun Dec 21 13:40:56 2014  sparse part has weight 33933079 (67.44/col)
Sun Dec 21 13:41:00 2014  filtering completed in 2 passes
Sun Dec 21 13:41:00 2014  matrix is 502134 x 502311 (152.4 MB) with weight 48974199 (97.50/col)
Sun Dec 21 13:41:00 2014  sparse part has weight 33924500 (67.54/col)
Sun Dec 21 13:41:01 2014  matrix starts at (0, 0)
Sun Dec 21 13:41:01 2014  matrix is 502134 x 502311 (152.4 MB) with weight 48974199 (97.50/col)
Sun Dec 21 13:41:01 2014  sparse part has weight 33924500 (67.54/col)
Sun Dec 21 13:41:01 2014  saving the first 48 matrix rows for later
Sun Dec 21 13:41:02 2014  matrix includes 64 packed rows
Sun Dec 21 13:41:02 2014  matrix is 502086 x 502311 (147.0 MB) with weight 39041801 (77.72/col)
Sun Dec 21 13:41:02 2014  sparse part has weight 33516645 (66.72/col)
Sun Dec 21 13:41:02 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 21 13:41:04 2014  commencing Lanczos iteration (8 threads)
Sun Dec 21 13:41:04 2014  memory use: 139.8 MB
Sun Dec 21 13:41:10 2014  linear algebra at 0.6%, ETA 0h16m
Sun Dec 21 13:55:47 2014  lanczos halted after 7941 iterations (dim = 502084)
Sun Dec 21 13:55:47 2014  recovered 29 nontrivial dependencies
Sun Dec 21 13:55:47 2014  BLanczosTime: 939
Sun Dec 21 13:55:47 2014  
Sun Dec 21 13:55:47 2014  commencing square root phase
Sun Dec 21 13:55:47 2014  reading relations for dependency 1
Sun Dec 21 13:55:48 2014  read 251413 cycles
Sun Dec 21 13:55:48 2014  cycles contain 893582 unique relations
Sun Dec 21 13:56:02 2014  read 893582 relations
Sun Dec 21 13:56:06 2014  multiplying 893582 relations
Sun Dec 21 13:56:55 2014  multiply complete, coefficients have about 35.86 million bits
Sun Dec 21 13:56:55 2014  initial square root is modulo 140759
Sun Dec 21 13:57:53 2014  GCD is N, no factor found
Sun Dec 21 13:57:53 2014  reading relations for dependency 2
Sun Dec 21 13:57:53 2014  read 251389 cycles
Sun Dec 21 13:57:54 2014  cycles contain 891276 unique relations
Sun Dec 21 13:58:08 2014  read 891276 relations
Sun Dec 21 13:58:12 2014  multiplying 891276 relations
Sun Dec 21 13:59:02 2014  multiply complete, coefficients have about 35.77 million bits
Sun Dec 21 13:59:02 2014  initial square root is modulo 136603
Sun Dec 21 14:00:05 2014  GCD is 1, no factor found
Sun Dec 21 14:00:05 2014  reading relations for dependency 3
Sun Dec 21 14:00:05 2014  read 251797 cycles
Sun Dec 21 14:00:05 2014  cycles contain 892870 unique relations
Sun Dec 21 14:00:20 2014  read 892870 relations
Sun Dec 21 14:00:24 2014  multiplying 892870 relations
Sun Dec 21 14:01:13 2014  multiply complete, coefficients have about 35.83 million bits
Sun Dec 21 14:01:14 2014  initial square root is modulo 139537
Sun Dec 21 14:02:16 2014  sqrtTime: 389
--
n: 429203386268232720347554544632156180218686696361875544971878689227046671968153287825353555982469769945189133327829
skew: 227186.19
c0: 71923288625166724727655721905
c1: 2853739107123747478740378
c2: 2658327643134069406
c3: -222105120605087
c4: 51329824
c5: 684
Y0: -14438475331783145201948
Y1: 160382974429
rlim: 4240000
alim: 4240000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:44 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 44 秒 (日本時間)

10182-613

c166

name 名前Jo Yeong Uk
date 日付February 28, 2016 15:00:37 UTC 2016 年 2 月 29 日 (月) 0 時 0 分 37 秒 (日本時間)
composite number 合成数
3375334262548962682670398260649337603853706182508141440530948116570096997789127353720478191137080847538505260356725500534168612125516363193482768641791053290210281189<166>
prime factors 素因数
43344683303366214970572589505580844395323813954695314211471727<62>
77871932733370069793909562645177044777831776996468772164455401821016760604402908856101824286271784643307<104>
factorization results 素因数分解の結果
Number: 33313_182
N=3375334262548962682670398260649337603853706182508141440530948116570096997789127353720478191137080847538505260356725500534168612125516363193482768641791053290210281189
  ( 166 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=43344683303366214970572589505580844395323813954695314211471727
 r2=77871932733370069793909562645177044777831776996468772164455401821016760604402908856101824286271784643307
Version: 
Total time: 59.36 hours.
Scaled time: 311.90 units (timescale=5.254).
Factorization parameters were as follows:
n: 3375334262548962682670398260649337603853706182508141440530948116570096997789127353720478191137080847538505260356725500534168612125516363193482768641791053290210281189
m: 1000000000000000000000000000000000000
deg: 5
c5: 100
c0: -61
skew: 0.91
# Murphy_E = 6.968e-11
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3200000, 6000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18356944
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1362194 x 1362442
Total sieving time: 55.78 hours.
Total relation processing time: 1.33 hours.
Matrix solve time: 2.09 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,53,53,2.5,2.5,100000
total time: 59.36 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365468k/51380224k available (5396k kernel code, 1086460k absent, 928296k reserved, 7012k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400121)
Total of 12 processors activated (81602.90 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:24 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 24 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:50 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 50 秒 (日本時間)
4511e6600 / 4342KTakahashiMay 19, 2015 22:20:21 UTC 2015 年 5 月 20 日 (水) 7 時 20 分 21 秒 (日本時間)

10184-613

c156

name 名前Jo Yeong Uk
date 日付May 27, 2016 11:25:50 UTC 2016 年 5 月 27 日 (金) 20 時 25 分 50 秒 (日本時間)
composite number 合成数
377048749037258424436676031255207360653430112778409202150161080016353340086364484284951455796226889880611906782541899911480167060374344759503687557263239971<156>
prime factors 素因数
169046360788692786988177600894429685203671115227810664567<57>
2230445821360021554809613892282622888311963155270544699279582985675401642012147236957620302567141813<100>
factorization results 素因数分解の結果
Number: 33313_184
N=377048749037258424436676031255207360653430112778409202150161080016353340086364484284951455796226889880611906782541899911480167060374344759503687557263239971
  ( 156 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=169046360788692786988177600894429685203671115227810664567
 r2=2230445821360021554809613892282622888311963155270544699279582985675401642012147236957620302567141813
Version: 
Total time: 70.18 hours.
Scaled time: 369.02 units (timescale=5.258).
Factorization parameters were as follows:
n: 377048749037258424436676031255207360653430112778409202150161080016353340086364484284951455796226889880611906782541899911480167060374344759503687557263239971
m: 10000000000000000000000000000000000000
deg: 5
c5: 1
c0: -610
skew: 3.61
# Murphy_E = 5.708e-11
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3600000, 6800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20073613
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1636671 x 1636918
Total sieving time: 65.07 hours.
Total relation processing time: 1.66 hours.
Matrix solve time: 3.36 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,54,54,2.5,2.5,100000
total time: 70.18 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:24 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 24 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:50 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 50 秒 (日本時間)
4511e6600 / 4342KTakahashiMay 25, 2015 12:04:00 UTC 2015 年 5 月 25 日 (月) 21 時 4 分 0 秒 (日本時間)

10185-613

c156

name 名前Jo Yeong Uk
date 日付August 7, 2016 12:52:48 UTC 2016 年 8 月 7 日 (日) 21 時 52 分 48 秒 (日本時間)
composite number 合成数
214934900507963451076407864017373827251634650177702119308964786944996042936973709314774413262172616084144589613517030905165095289393361939875071959493458047<156>
prime factors 素因数
359025680353122042390856582389292558397720409837617732182866757<63>
598661634166566670435557793208818498007990603152676423299637517697945830336361163181170441971<93>
factorization results 素因数分解の結果
Number: 33313_185
N=214934900507963451076407864017373827251634650177702119308964786944996042936973709314774413262172616084144589613517030905165095289393361939875071959493458047
  ( 156 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=359025680353122042390856582389292558397720409837617732182866757
 r2=598661634166566670435557793208818498007990603152676423299637517697945830336361163181170441971
Version: 
Total time: 51.82 hours.
Scaled time: 267.72 units (timescale=5.166).
Factorization parameters were as follows:
n: 214934900507963451076407864017373827251634650177702119308964786944996042936973709314774413262172616084144589613517030905165095289393361939875071959493458047
m: 10000000000000000000000000000000000000
deg: 5
c5: 1
c0: -61
skew: 2.28
# Murphy_E = 8.272e-11
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3600000, 5900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19818959
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1384862 x 1385110
Total sieving time: 48.15 hours.
Total relation processing time: 1.23 hours.
Matrix solve time: 2.28 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,54,54,2.5,2.5,100000
total time: 51.82 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:25 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 25 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:50 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 50 秒 (日本時間)
4511e6600 / 4342KTakahashiMay 29, 2015 20:26:18 UTC 2015 年 5 月 30 日 (土) 5 時 26 分 18 秒 (日本時間)

10186-613

c148

name 名前Cyp
date 日付February 4, 2015 22:19:21 UTC 2015 年 2 月 5 日 (木) 7 時 19 分 21 秒 (日本時間)
composite number 合成数
2357749360759921841985627510370579070249307725651055380071176454771197134987338308807182701804454286504114833308591654089511883838238006723789547257<148>
prime factors 素因数
46230245071924280916815408014199094730273<41>
composite cofactor 合成数の残り
51000148432952774515788290435792479510807760815883003323437732852824545942214031010219470330084938985307609<107>
factorization results 素因数分解の結果
Run 219 out of 498:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2308578526
Step 1 took 41831ms
Step 2 took 15312ms
********** Factor found in step 2: 46230245071924280916815408014199094730273
Found probable prime factor of 41 digits: 46230245071924280916815408014199094730273
Composite cofactor 51000148432952774515788290435792479510807760815883003323437732852824545942214031010219470330084938985307609 has 107 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c107

name 名前KTakahashi
date 日付February 6, 2015 09:44:02 UTC 2015 年 2 月 6 日 (金) 18 時 44 分 2 秒 (日本時間)
composite number 合成数
51000148432952774515788290435792479510807760815883003323437732852824545942214031010219470330084938985307609<107>
prime factors 素因数
554273224353981421087731851093528532006981792623969<51>
92012650425960330640034953520164670256625962953552669561<56>
factorization results 素因数分解の結果
Number: 33313_186
N=51000148432952774515788290435792479510807760815883003323437732852824545942214031010219470330084938985307609
  ( 107 digits)
Divisors found:
 r1=554273224353981421087731851093528532006981792623969 (pp51)
 r2=92012650425960330640034953520164670256625962953552669561 (pp56)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 12.64 hours.
Scaled time: 26.23 units (timescale=2.075).
Factorization parameters were as follows:
name: 33313_186
n: 51000148432952774515788290435792479510807760815883003323437732852824545942214031010219470330084938985307609
skew: 7613.28
# norm 4.61e+014
c5: 40320
c4: 3962817036
c3: -4904034687280
c2: -14208179994283627
c1: 202823199680626703460
c0: -934601448910689014333109
# alpha -6.38
Y1: 9806407039
Y0: -263275147862944992310
# Murphy_E 1.67e-009
# M 23356099358098853447192673119982020153237070891507816981808567509325073233301196241792046778432105749119773
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 261211 x 261436
Polynomial selection time: 0.96 hours.
Total sieving time: 11.35 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 12.64 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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:25 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 25 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:51 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 51 秒 (日本時間)
4511e6498 / 4342CypFebruary 4, 2015 22:19:20 UTC 2015 年 2 月 5 日 (木) 7 時 19 分 20 秒 (日本時間)

10188-613

c101

name 名前Serge Batalov
date 日付December 19, 2014 17:53:23 UTC 2014 年 12 月 20 日 (土) 2 時 53 分 23 秒 (日本時間)
composite number 合成数
13190924081910896519236148063878272216514263047421943351373103466535901680284740700340783262802555913<101>
prime factors 素因数
148316404589147589747840609011489<33>
88937728219957708122424258650950298398263511922361006171046893885417<68>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3453291707
Step 1 took 2224ms
Step 2 took 1929ms
********** Factor found in step 2: 148316404589147589747840609011489
Found probable prime factor of 33 digits: 148316404589147589747840609011489
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10194-613

c126

name 名前Serge Batalov
date 日付December 19, 2014 17:54:27 UTC 2014 年 12 月 20 日 (土) 2 時 54 分 27 秒 (日本時間)
composite number 合成数
558459394700686560358483744621995548099496718734484152701714615350533843027143511937633775428757453410329475300857070831519973<126>
prime factors 素因数
6986898232719600829186909534747<31>
79929516088473236875494535950388081486323750528212692575328307348152758702659065720214871701759<95>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2827799219
Step 1 took 2519ms
Step 2 took 1966ms
********** Factor found in step 2: 6986898232719600829186909534747
Found probable prime factor of 31 digits: 6986898232719600829186909534747
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10195-613

c172

name 名前Youcef Lemsafer
date 日付December 3, 2016 09:27:10 UTC 2016 年 12 月 3 日 (土) 18 時 27 分 10 秒 (日本時間)
composite number 合成数
2234604706440413282349786269758399392617414100761242038783048735562156366252320839772097707441686312097954743921858626716311776181536511429454001308763534938456912708141271<172>
prime factors 素因数
1210736161130606422479182322761944206791369<43>
455403179481020043033144807060777711721808804582734021541<57>
4052799669438586953271334231577454592750937856243880108078812860306202099<73>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is (10^195-61)/(3*29*246187*20893679192683961) (172 digits)
[Fri Nov 25 13:09:57 2016]
Using MODMULN [mulredc:0, sqrredc:2]
Using B1=11000000, B2=11000000-35133391030, polynomial Dickson(12), sigma=345245277
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits:
35        40        45        50        55        60        65        70        75        80
122        686        4482        33676        284176        2657998        2.7e+007        3e+008        3.7e+009        4.4e+010
Step 1 took 36094ms
Using 21 small primes for NTT
Estimated memory usage: 114M
Initializing tables of differences for F took 16ms
Computing roots of F took 1078ms
Building F from its roots took 1297ms
Computing 1/F took 391ms
Initializing table of differences for G took 31ms
Computing roots of G took 953ms
Building G from its roots took 1000ms
Computing roots of G took 891ms
Building G from its roots took 1062ms
Computing G * H took 281ms
Reducing  G * H mod F took 266ms
Computing roots of G took 906ms
Building G from its roots took 922ms
Computing G * H took 312ms
Reducing  G * H mod F took 313ms
Computing polyeval(F,G) took 1844ms
Computing product of all F(g_i) took 31ms
Step 2 took 11750ms
********** Factor found in step 2: 1210736161130606422479182322761944206791369
Found probable prime factor of 43 digits: 1210736161130606422479182322761944206791369
Composite cofactor ((10^195-61)/(3*29*246187*20893679192683961))/1210736161130606422479182322761944206791369 has 130 digits

<GNFS on Intel Core i7-5820K @3.3GHz running Debian 64-bit:>

Fri Dec 02 19:39:51 2016 -> factmsieve.py (v0.76)
Fri Dec 02 19:39:51 2016 -> This is client 1 of 1
Fri Dec 02 19:39:51 2016 -> Running on 4 Cores with 1 hyper-thread per Core
Fri Dec 02 19:39:51 2016 -> Working with NAME = 33313_195
Fri Dec 02 19:39:51 2016 -> Running polynomial selection ...
Fri Dec 02 19:41:37 2016 -> factmsieve.py (v0.76)
Fri Dec 02 19:41:37 2016 -> This is client 1 of 1
Fri Dec 02 19:41:37 2016 -> Running on 4 Cores with 1 hyper-thread per Core
Fri Dec 02 19:41:37 2016 -> Working with NAME = 33313_195
Fri Dec 02 19:41:37 2016 -> Running polynomial selection ...
Fri Dec  2 19:41:37 2016  
Fri Dec  2 19:41:37 2016  
Fri Dec  2 19:41:37 2016  Msieve v. 1.53 (SVN 991)
Fri Dec  2 19:41:37 2016  random seeds: da5eae0e 40801a89
Fri Dec  2 19:41:37 2016  factoring 1845657855261959515185754203853236841901963467443701361016697889055879681353405162554893576021255856368674541324861793814565414559 (130 digits)
Fri Dec  2 19:41:37 2016  no P-1/P+1/ECM available, skipping
Fri Dec  2 19:41:37 2016  commencing number field sieve (130-digit input)
Fri Dec  2 19:41:37 2016  commencing number field sieve polynomial selection
Fri Dec  2 19:41:37 2016  polynomial degree: 5
Fri Dec  2 19:41:37 2016  max stage 1 norm: 3.90e+19
Fri Dec  2 19:41:37 2016  max stage 2 norm: 9.37e+17
Fri Dec  2 19:41:37 2016  min E-value: 6.42e-11
Fri Dec  2 19:41:37 2016  poly select deadline: 52223
Fri Dec  2 19:41:37 2016  time limit set to 14.51 CPU-hours
Fri Dec  2 19:41:37 2016  expecting poly E from 8.01e-11 to > 9.21e-11
Fri Dec  2 19:41:37 2016  searching leading coefficients from 1 to 968693
Fri Dec  2 21:56:14 2016  polynomial selection complete
Fri Dec  2 21:56:14 2016  R0: -23383520452054422058728945
Fri Dec  2 21:56:14 2016  R1: 26859109634237
Fri Dec  2 21:56:14 2016  A0: -104751541230379876587703007511008
Fri Dec  2 21:56:14 2016  A1: 385742342507593804825415532
Fri Dec  2 21:56:14 2016  A2: 1120142472939598854361
Fri Dec  2 21:56:14 2016  A3: -1251781760376504
Fri Dec  2 21:56:14 2016  A4: -1170220226
Fri Dec  2 21:56:14 2016  A5: 264
Fri Dec  2 21:56:14 2016  skew 1031415.56, size 1.976e-12, alpha -5.944, combined = 9.167e-11 rroots = 5
Fri Dec  2 21:56:14 2016  elapsed time 02:14:37
<...snipped...>
Fri Dec 02 21:57:17 2016 -> Selected lattice siever: gnfs-lasieve4I13e
Fri Dec 02 21:57:17 2016 -> Creating param file to detect parameter changes...
Fri Dec 02 21:57:17 2016 -> Running setup ...
Fri Dec 02 21:57:17 2016 -> Estimated minimum relations needed: 1.804e+07
Fri Dec 02 21:57:17 2016 -> cleaning up before a restart
Fri Dec 02 21:57:17 2016 -> Running lattice siever ...
Fri Dec 02 21:57:17 2016 -> entering sieving loop
<...snipped...>
Fri Dec 02 21:57:17 2016 -> Lattice sieving algebraic q from 3600000 to 3700000.
<...snipped...>
Sat Dec 03 08:08:13 2016 Found 19913152 relations, 110.4% of the estimated minimum (18040000).
Sat Dec  3 08:08:13 2016  
Sat Dec  3 08:08:13 2016  
Sat Dec  3 08:08:13 2016  Msieve v. 1.53 (SVN 991)
Sat Dec  3 08:08:13 2016  random seeds: fd84760e e4001929
Sat Dec  3 08:08:13 2016  factoring 1845657855261959515185754203853236841901963467443701361016697889055879681353405162554893576021255856368674541324861793814565414559 (130 digits)
Sat Dec  3 08:08:13 2016  no P-1/P+1/ECM available, skipping
Sat Dec  3 08:08:13 2016  commencing number field sieve (130-digit input)
Sat Dec  3 08:08:13 2016  R0: -23383520452054422058728945
Sat Dec  3 08:08:13 2016  R1: 26859109634237
Sat Dec  3 08:08:13 2016  A0: -104751541230379876587703007511008
Sat Dec  3 08:08:13 2016  A1: 385742342507593804825415532
Sat Dec  3 08:08:13 2016  A2: 1120142472939598854361
Sat Dec  3 08:08:13 2016  A3: -1251781760376504
Sat Dec  3 08:08:13 2016  A4: -1170220226
Sat Dec  3 08:08:13 2016  A5: 264
Sat Dec  3 08:08:13 2016  skew 1031415.56, size 1.976e-12, alpha -5.944, combined = 9.167e-11 rroots = 5
Sat Dec  3 08:08:13 2016  
Sat Dec  3 08:08:13 2016  commencing relation filtering
Sat Dec  3 08:08:13 2016  estimated available RAM is 64456.1 MB
Sat Dec  3 08:08:13 2016  commencing duplicate removal, pass 1
Sat Dec  3 08:10:23 2016  found 2687567 hash collisions in 19913151 relations
Sat Dec  3 08:10:44 2016  added 112 free relations
Sat Dec  3 08:10:44 2016  commencing duplicate removal, pass 2
Sat Dec  3 08:10:48 2016  found 1833145 duplicates and 18080118 unique relations
Sat Dec  3 08:10:48 2016  memory use: 82.6 MB
Sat Dec  3 08:10:48 2016  reading ideals above 720000
Sat Dec  3 08:10:48 2016  commencing singleton removal, initial pass
Sat Dec  3 08:12:53 2016  memory use: 376.5 MB
Sat Dec  3 08:12:53 2016  reading all ideals from disk
Sat Dec  3 08:12:53 2016  memory use: 549.1 MB
Sat Dec  3 08:12:54 2016  keeping 20103200 ideals with weight <= 200, target excess is 118702
Sat Dec  3 08:12:55 2016  commencing in-memory singleton removal
Sat Dec  3 08:12:56 2016  begin with 18080118 relations and 20103200 unique ideals
Sat Dec  3 08:13:04 2016  reduce to 6074677 relations and 5845008 ideals in 20 passes
Sat Dec  3 08:13:04 2016  max relations containing the same ideal: 93
Sat Dec  3 08:13:06 2016  removing 598368 relations and 552381 ideals in 45987 cliques
Sat Dec  3 08:13:06 2016  commencing in-memory singleton removal
Sat Dec  3 08:13:07 2016  begin with 5476309 relations and 5845008 unique ideals
Sat Dec  3 08:13:09 2016  reduce to 5423917 relations and 5239581 ideals in 11 passes
Sat Dec  3 08:13:09 2016  max relations containing the same ideal: 85
Sat Dec  3 08:13:11 2016  removing 433341 relations and 387354 ideals in 45987 cliques
Sat Dec  3 08:13:11 2016  commencing in-memory singleton removal
Sat Dec  3 08:13:11 2016  begin with 4990576 relations and 5239581 unique ideals
Sat Dec  3 08:13:14 2016  reduce to 4959739 relations and 4821066 ideals in 10 passes
Sat Dec  3 08:13:14 2016  max relations containing the same ideal: 80
Sat Dec  3 08:13:16 2016  relations with 0 large ideals: 497
Sat Dec  3 08:13:16 2016  relations with 1 large ideals: 1815
Sat Dec  3 08:13:16 2016  relations with 2 large ideals: 29662
Sat Dec  3 08:13:16 2016  relations with 3 large ideals: 193710
Sat Dec  3 08:13:16 2016  relations with 4 large ideals: 670176
Sat Dec  3 08:13:16 2016  relations with 5 large ideals: 1291577
Sat Dec  3 08:13:16 2016  relations with 6 large ideals: 1443663
Sat Dec  3 08:13:16 2016  relations with 7+ large ideals: 1328639
Sat Dec  3 08:13:16 2016  commencing 2-way merge
Sat Dec  3 08:13:18 2016  reduce to 2725166 relation sets and 2586495 unique ideals
Sat Dec  3 08:13:18 2016  ignored 2 oversize relation sets
Sat Dec  3 08:13:18 2016  commencing full merge
Sat Dec  3 08:13:45 2016  memory use: 291.1 MB
Sat Dec  3 08:13:45 2016  found 1364818 cycles, need 1348695
Sat Dec  3 08:13:46 2016  weight of 1348695 cycles is about 94563007 (70.11/cycle)
Sat Dec  3 08:13:46 2016  distribution of cycle lengths:
Sat Dec  3 08:13:46 2016  1 relations: 181367
Sat Dec  3 08:13:46 2016  2 relations: 163798
Sat Dec  3 08:13:46 2016  3 relations: 160368
Sat Dec  3 08:13:46 2016  4 relations: 139212
Sat Dec  3 08:13:46 2016  5 relations: 120979
Sat Dec  3 08:13:46 2016  6 relations: 101138
Sat Dec  3 08:13:46 2016  7 relations: 86803
Sat Dec  3 08:13:46 2016  8 relations: 72621
Sat Dec  3 08:13:46 2016  9 relations: 60391
Sat Dec  3 08:13:46 2016  10+ relations: 262018
Sat Dec  3 08:13:46 2016  heaviest cycle: 23 relations
Sat Dec  3 08:13:46 2016  commencing cycle optimization
Sat Dec  3 08:13:47 2016  start with 7984544 relations
Sat Dec  3 08:13:54 2016  pruned 142830 relations
Sat Dec  3 08:13:54 2016  memory use: 277.8 MB
Sat Dec  3 08:13:54 2016  distribution of cycle lengths:
Sat Dec  3 08:13:54 2016  1 relations: 181367
Sat Dec  3 08:13:54 2016  2 relations: 167177
Sat Dec  3 08:13:54 2016  3 relations: 164645
Sat Dec  3 08:13:54 2016  4 relations: 141485
Sat Dec  3 08:13:54 2016  5 relations: 122696
Sat Dec  3 08:13:54 2016  6 relations: 101471
Sat Dec  3 08:13:54 2016  7 relations: 86731
Sat Dec  3 08:13:54 2016  8 relations: 72087
Sat Dec  3 08:13:54 2016  9 relations: 59651
Sat Dec  3 08:13:54 2016  10+ relations: 251385
Sat Dec  3 08:13:54 2016  heaviest cycle: 23 relations
Sat Dec  3 08:13:56 2016  RelProcTime: 343
Sat Dec  3 08:13:56 2016  elapsed time 00:05:43
<...snipped...>
Sat Dec  3 08:13:57 2016  commencing linear algebra
Sat Dec  3 08:13:57 2016  read 1348695 cycles
Sat Dec  3 08:13:59 2016  cycles contain 4775726 unique relations
Sat Dec  3 08:14:20 2016  read 4775726 relations
Sat Dec  3 08:14:23 2016  using 20 quadratic characters above 4294917295
Sat Dec  3 08:14:42 2016  building initial matrix
Sat Dec  3 08:15:19 2016  memory use: 614.9 MB
Sat Dec  3 08:15:22 2016  read 1348695 cycles
Sat Dec  3 08:15:22 2016  matrix is 1348513 x 1348695 (411.2 MB) with weight 129474501 (96.00/col)
Sat Dec  3 08:15:22 2016  sparse part has weight 91601936 (67.92/col)
Sat Dec  3 08:15:30 2016  filtering completed in 2 passes
Sat Dec  3 08:15:30 2016  matrix is 1344442 x 1344622 (410.8 MB) with weight 129295918 (96.16/col)
Sat Dec  3 08:15:30 2016  sparse part has weight 91545709 (68.08/col)
Sat Dec  3 08:15:37 2016  matrix starts at (0, 0)
Sat Dec  3 08:15:37 2016  matrix is 1344442 x 1344622 (410.8 MB) with weight 129295918 (96.16/col)
Sat Dec  3 08:15:37 2016  sparse part has weight 91545709 (68.08/col)
Sat Dec  3 08:15:37 2016  saving the first 48 matrix rows for later
Sat Dec  3 08:15:37 2016  matrix includes 64 packed rows
Sat Dec  3 08:15:37 2016  matrix is 1344394 x 1344622 (395.4 MB) with weight 102863715 (76.50/col)
Sat Dec  3 08:15:37 2016  sparse part has weight 90200090 (67.08/col)
Sat Dec  3 08:15:37 2016  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Sat Dec  3 08:15:40 2016  commencing Lanczos iteration (4 threads)
Sat Dec  3 08:15:40 2016  memory use: 312.2 MB
Sat Dec  3 08:15:43 2016  linear algebra at 0.1%, ETA 0h29m
Sat Dec  3 08:15:44 2016  checkpointing every 2430000 dimensions
Sat Dec  3 08:58:10 2016  lanczos halted after 21263 iterations (dim = 1344392)
Sat Dec  3 08:58:11 2016  recovered 28 nontrivial dependencies
Sat Dec  3 08:58:11 2016  BLanczosTime: 2654
Sat Dec  3 08:58:11 2016  elapsed time 00:44:14
Sat Dec 03 08:58:11 2016 -> Running square root step ...
<...snipped...>
Sat Dec  3 08:58:12 2016  
Sat Dec  3 08:58:12 2016  commencing square root phase
Sat Dec  3 08:58:12 2016  reading relations for dependency 1
Sat Dec  3 08:58:12 2016  read 672016 cycles
Sat Dec  3 08:58:12 2016  cycles contain 2389304 unique relations
Sat Dec  3 08:58:23 2016  read 2389304 relations
Sat Dec  3 08:58:29 2016  multiplying 2389304 relations
Sat Dec  3 08:59:32 2016  multiply complete, coefficients have about 98.53 million bits
Sat Dec  3 08:59:32 2016  initial square root is modulo 11820493
Sat Dec  3 09:00:49 2016  sqrtTime: 157
Sat Dec  3 09:00:49 2016  p57 factor: 455403179481020043033144807060777711721808804582734021541
Sat Dec  3 09:00:49 2016  p73 factor: 4052799669438586953271334231577454592750937856243880108078812860306202099
Sat Dec  3 09:00:49 2016  elapsed time 00:02:38

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:26 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 26 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:51 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 51 秒 (日本時間)
4511e61010 / 4342498CypJuly 3, 2015 15:32:54 UTC 2015 年 7 月 4 日 (土) 0 時 32 分 54 秒 (日本時間)
512Youcef LemsaferNovember 25, 2016 13:49:12 UTC 2016 年 11 月 25 日 (金) 22 時 49 分 12 秒 (日本時間)

10196-613

c178

composite cofactor 合成数の残り
3104742144715714928675977355521242892140325472485934510323395133253720780856063464568593465562778176251427373319782763021604741936819359845634918077581368316333634535740243141633<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:26 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 26 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:51 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 51 秒 (日本時間)
4511e61522 / 4342498CypJune 2, 2015 06:07:25 UTC 2015 年 6 月 2 日 (火) 15 時 7 分 25 秒 (日本時間)
512Youcef LemsaferNovember 25, 2016 17:12:34 UTC 2016 年 11 月 26 日 (土) 2 時 12 分 34 秒 (日本時間)
512Youcef LemsaferDecember 5, 2016 09:03:46 UTC 2016 年 12 月 5 日 (月) 18 時 3 分 46 秒 (日本時間)

10197-613

c142

composite cofactor 合成数の残り
8827911429065744442104199623530748097651815860212109673945188401024352488288821380546949727967779680297992387715597359272533440369377617714573<142>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:27 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 27 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:52 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 52 秒 (日本時間)
4511e61087 / 4342575Pierre JammesApril 15, 2015 12:58:24 UTC 2015 年 4 月 15 日 (水) 21 時 58 分 24 秒 (日本時間)
512Youcef LemsaferDecember 5, 2016 09:06:56 UTC 2016 年 12 月 5 日 (月) 18 時 6 分 56 秒 (日本時間)

10198-613

c175

composite cofactor 合成数の残り
8429348793749372478438890870584952460341731395557013326297543465125951717448728176837797429445613024590214859669266049849766905494022505325791128804037735024152361991514153369<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:27 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 27 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:52 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 52 秒 (日本時間)
4511e61010 / 4342498CypJanuary 27, 2015 22:22:25 UTC 2015 年 1 月 28 日 (水) 7 時 22 分 25 秒 (日本時間)
512Youcef LemsaferDecember 5, 2016 09:07:28 UTC 2016 年 12 月 5 日 (月) 18 時 7 分 28 秒 (日本時間)

10201-613

c190

composite cofactor 合成数の残り
2906845778083193850782602599199848760193083863867848313336460893178911352695003639212243983362030043473485835333324017165858079836861797065567542142842697957699520083066831429798018881265613<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:28 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 28 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:53 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 53 秒 (日本時間)
4511e61522 / 4342498CypMay 24, 2015 23:34:54 UTC 2015 年 5 月 25 日 (月) 8 時 34 分 54 秒 (日本時間)
512Youcef LemsaferNovember 26, 2016 09:54:26 UTC 2016 年 11 月 26 日 (土) 18 時 54 分 26 秒 (日本時間)
512Youcef LemsaferDecember 5, 2016 09:08:10 UTC 2016 年 12 月 5 日 (月) 18 時 8 分 10 秒 (日本時間)

10202-613

c165

name 名前Cyp
date 日付May 28, 2015 18:53:18 UTC 2015 年 5 月 29 日 (金) 3 時 53 分 18 秒 (日本時間)
composite number 合成数
622116928473134899717585173675000996994170840892571528327713884965540031539461024378245675011746870086198833697570220453841396749953148921446779019651295971732813271<165>
prime factors 素因数
417981900721052834226515122503625356320797<42>
composite cofactor 合成数の残り
1488382457230642069712601868734646256466297064170473899578097089949422499546751048072980654666099013763530223168068683527043<124>
factorization results 素因数分解の結果
Run 53 out of 498:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2600434267
Step 1 took 50384ms
Step 2 took 17341ms
********** Factor found in step 2: 417981900721052834226515122503625356320797
Found probable prime factor of 42 digits: 417981900721052834226515122503625356320797
Composite cofactor 1488382457230642069712601868734646256466297064170473899578097089949422499546751048072980654666099013763530223168068683527043 has 124 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c124

name 名前Jo Yeong Uk
date 日付June 1, 2015 11:35:04 UTC 2015 年 6 月 1 日 (月) 20 時 35 分 4 秒 (日本時間)
composite number 合成数
1488382457230642069712601868734646256466297064170473899578097089949422499546751048072980654666099013763530223168068683527043<124>
prime factors 素因数
48786533016338046756334550017757558867<38>
30508059605961341123079274136048743080256629106000346919288094616878076550006341939729<86>
factorization results 素因数分解の結果
Number: 33313_202
N=1488382457230642069712601868734646256466297064170473899578097089949422499546751048072980654666099013763530223168068683527043
  ( 124 digits)
Divisors found:
 r1=48786533016338046756334550017757558867
 r2=30508059605961341123079274136048743080256629106000346919288094616878076550006341939729
Version: 
Total time: 26.28 hours.
Scaled time: 138.10 units (timescale=5.256).
Factorization parameters were as follows:
name: 33313_202
n: 1488382457230642069712601868734646256466297064170473899578097089949422499546751048072980654666099013763530223168068683527043
skew: 172369.72
# norm 2.35e+16
c5: 7980
c4: -1575151532
c3: -315797231012753
c2: 82565107242641637394
c1: 3866102931869277057874480
c0: -580229525675468119280436031425
# alpha -5.80
Y1: 7077161685037
Y0: -714730803936577933790722
# Murphy_E 2.07e-10
# M 110602799447798020495153238931853785266115459312912913719786671632732041737043345323547300517416833319391640598565498932815
type: gnfs
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved algebraic special-q in [3400000, 5700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17762814
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 930513 x 930761
Polynomial selection time: 4.53 hours.
Total sieving time: 19.45 hours.
Total relation processing time: 1.00 hours.
Matrix solve time: 0.87 hours.
Time per square root: 0.42 hours.
Prototype def-par.txt line would be:
gnfs,123,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6800000,6800000,28,28,54,54,2.5,2.5,100000
total time: 26.28 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.77 BogoMIPS (lpj=3399888)
Total of 12 processors activated (81597.31 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:28 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 28 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:53 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 53 秒 (日本時間)
4511e6498 / 4342CypMay 28, 2015 18:53:18 UTC 2015 年 5 月 29 日 (金) 3 時 53 分 18 秒 (日本時間)

10203-613

c147

name 名前Youcef Lemsafer
date 日付November 26, 2016 09:56:23 UTC 2016 年 11 月 26 日 (土) 18 時 56 分 23 秒 (日本時間)
composite number 合成数
421411345020456483767451887991850098468614829677698229689571908743694214677888524792021437844770467399307214857718146888171144861827260588039857491<147>
prime factors 素因数
490256589476568263118116539905546538801181<42>
859573035969560941469104694559125590237514596526683092954401718486381182086963768431578551988955078334511<105>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is (10^203-61)/(3*7*10741124359190539590193*1052021794690658521345959619417693) (147 digits)
[Sat Nov 26 05:06:16 2016]
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=11000000, B2=11000000-35133391030, polynomial Dickson(12), sigma=3107018472
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
122     686     4482    33676   284176  2657998 2.7e+007        3e+008  3.7e+009        4.4e+010
Step 1 took 26734ms
Using 19 small primes for NTT
Estimated memory usage: 104M
Initializing tables of differences for F took 31ms
Computing roots of F took 1016ms
Building F from its roots took 953ms
Computing 1/F took 344ms
Initializing table of differences for G took 16ms
Computing roots of G took 875ms
Building G from its roots took 843ms
Computing roots of G took 875ms
Building G from its roots took 828ms
Computing G * H took 250ms
Reducing  G * H mod F took 282ms
Computing roots of G took 828ms
Building G from its roots took 844ms
Computing G * H took 219ms
Reducing  G * H mod F took 266ms
Computing polyeval(F,G) took 1531ms
Computing product of all F(g_i) took 15ms
Step 2 took 10094ms
********** Factor found in step 2: 490256589476568263118116539905546538801181
Found probable prime factor of 42 digits: 490256589476568263118116539905546538801181
Probable prime cofactor ((10^203-61)/(3*7*10741124359190539590193*1052021794690658521345959619417693))/490256589476568263118116539905546538801181 has 105 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:29 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 29 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:53 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 53 秒 (日本時間)
4511e6645 / 4342498CypJuly 7, 2015 14:25:48 UTC 2015 年 7 月 7 日 (火) 23 時 25 分 48 秒 (日本時間)
147Youcef LemsaferNovember 26, 2016 09:55:20 UTC 2016 年 11 月 26 日 (土) 18 時 55 分 20 秒 (日本時間)

10204-613

c180

name 名前Cyp
date 日付February 1, 2015 00:30:27 UTC 2015 年 2 月 1 日 (日) 9 時 30 分 27 秒 (日本時間)
composite number 合成数
827732269962833384475242076965754442706887405202769670778569477557648461241001589290688091726424624349137469872512109249207305297110168512634157546069358109278641691979902921362971<180>
prime factors 素因数
130828362295768484663488405546293271307<39>
6326856466272570429051239527516186467742273333535279018705945509585270958167664719907561189597178071962011641615273453029560774095971396879153<142>
factorization results 素因数分解の結果
Run 237 out of 498:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1312003673
Step 1 took 58988ms
********** Factor found in step 1: 130828362295768484663488405546293271307
Found probable prime factor of 39 digits: 130828362295768484663488405546293271307
Probable prime cofactor 6326856466272570429051239527516186467742273333535279018705945509585270958167664719907561189597178071962011641615273453029560774095971396879153 has 142 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 1500300Serge BatalovDecember 20, 2014 21:20:29 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 29 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:54 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 54 秒 (日本時間)
4511e6237 / 4342CypFebruary 1, 2015 00:30:27 UTC 2015 年 2 月 1 日 (日) 9 時 30 分 27 秒 (日本時間)

10205-613

c171

name 名前Youcef Lemsafer
date 日付November 26, 2016 09:58:27 UTC 2016 年 11 月 26 日 (土) 18 時 58 分 27 秒 (日本時間)
composite number 合成数
208188025407563805864495292682111453779522798336843895684437488070394963352171959976146781917349361109616527552074119388553178613969730037942529817591297055854369607208277<171>
prime factors 素因数
54996382558825892241148976588779590932209423<44>
3785485803268591819125882252138195037431292143774703696509463493328779617674293535114669432510902808752793804985279629815319899<127>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is (10^205-61)/(3*1123*14257495492201005237946762171103) (171 digits)
[Sat Nov 26 06:51:00 2016]
Using MODMULN [mulredc:0, sqrredc:2]
Using B1=11000000, B2=11000000-35133391030, polynomial Dickson(12), sigma=2748502217
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
122     686     4482    33676   284176  2657998 2.7e+007        3e+008  3.7e+009        4.4e+010
Step 1 took 34594ms
Using 21 small primes for NTT
Estimated memory usage: 114M
Initializing tables of differences for F took 32ms
Computing roots of F took 1187ms
Building F from its roots took 1047ms
Computing 1/F took 485ms
Initializing table of differences for G took 31ms
Computing roots of G took 984ms
Building G from its roots took 1094ms
Computing roots of G took 1000ms
Building G from its roots took 1281ms
Computing G * H took 312ms
Reducing  G * H mod F took 297ms
Computing roots of G took 1078ms
Building G from its roots took 1266ms
Computing G * H took 265ms
Reducing  G * H mod F took 266ms
Computing polyeval(F,G) took 2125ms
Computing product of all F(g_i) took 31ms
Step 2 took 12922ms
********** Factor found in step 2: 54996382558825892241148976588779590932209423
Found probable prime factor of 44 digits: 54996382558825892241148976588779590932209423
Probable prime cofactor ((10^205-61)/(3*1123*14257495492201005237946762171103))/54996382558825892241148976588779590932209423 has 127 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:30 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 30 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:54 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 54 秒 (日本時間)
4511e6767 / 4342498CypJune 12, 2015 05:34:19 UTC 2015 年 6 月 12 日 (金) 14 時 34 分 19 秒 (日本時間)
269Youcef LemsaferNovember 26, 2016 09:57:21 UTC 2016 年 11 月 26 日 (土) 18 時 57 分 21 秒 (日本時間)

10207-613

c199

composite cofactor 合成数の残り
4625643417169836062710421386355196561836958827069307833197318601473162888827364747678251956030798477502773871152082778516315715168809086610228173692225719501603019039041915272450327886652086546102879<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:30 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 30 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:54 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 54 秒 (日本時間)
4511e61522 / 4342498CypJune 21, 2015 07:40:16 UTC 2015 年 6 月 21 日 (日) 16 時 40 分 16 秒 (日本時間)
512Youcef LemsaferNovember 27, 2016 09:51:24 UTC 2016 年 11 月 27 日 (日) 18 時 51 分 24 秒 (日本時間)
512Youcef LemsaferDecember 5, 2016 09:08:40 UTC 2016 年 12 月 5 日 (月) 18 時 8 分 40 秒 (日本時間)

10208-613

c156

name 名前Serge Batalov
date 日付December 21, 2014 01:53:11 UTC 2014 年 12 月 21 日 (日) 10 時 53 分 11 秒 (日本時間)
composite number 合成数
944311730032739066899127593274778744173410816418927565709062648949000983135500237399408560996929162812014246537193039737327096194435619781161968936587381711<156>
prime factors 素因数
72033680731340011166549573282772809<35>
composite cofactor 合成数の残り
13109308318627860950156739938607939803856948710581215923182421478753455175002866933892130179831244278705451424165185352279<122>
factorization results 素因数分解の結果
Input number is 944311730032739066899127593274778744173410816418927565709062648949000983135500237399408560996929162812014246537193039737327096194435619781161968936587381711 (156 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2613085917
Step 1 took 11033ms
Step 2 took 8045ms
********** Factor found in step 2: 72033680731340011166549573282772809
Found probable prime factor of 35 digits: 72033680731340011166549573282772809
Composite cofactor 13109308318627860950156739938607939803856948710581215923182421478753455175002866933892130179831244278705451424165185352279 has 122 digits

c122

name 名前Jo Yeong Uk
date 日付January 4, 2015 20:06:27 UTC 2015 年 1 月 5 日 (月) 5 時 6 分 27 秒 (日本時間)
composite number 合成数
13109308318627860950156739938607939803856948710581215923182421478753455175002866933892130179831244278705451424165185352279<122>
prime factors 素因数
465394841465677698831239298840832063<36>
28168142726598434865083668193319465991590226477325654975926426534628153108050607763433<86>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 13109308318627860950156739938607939803856948710581215923182421478753455175002866933892130179831244278705451424165185352279 (122 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2796214756
Step 1 took 5332ms
********** Factor found in step 1: 465394841465677698831239298840832063
Found probable prime factor of 36 digits: 465394841465677698831239298840832063
Probable prime cofactor 28168142726598434865083668193319465991590226477325654975926426534628153108050607763433 has 86 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:20:31 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 31 秒 (日本時間)

10209-613

c175

name 名前Serge Batalov
date 日付December 21, 2014 01:53:15 UTC 2014 年 12 月 21 日 (日) 10 時 53 分 15 秒 (日本時間)
composite number 合成数
6261426444581802092734846590599603314423503624710706246983796903754185853757307249301089056740175992122517861953262224428119106215724141132398470754171009185514269563882558417<175>
prime factors 素因数
30317530605852378027753259<26>
206528246841222639643707452738464727891967304267811955740790296785036326384326299722004990237330428708165235228687283815001063755481900228014817630963<150>
factorization results 素因数分解の結果
Input number is 6261426444581802092734846590599603314423503624710706246983796903754185853757307249301089056740175992122517861953262224428119106215724141132398470754171009185514269563882558417 (175 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1997141559
Step 1 took 13733ms
Step 2 took 5032ms
********** Factor found in step 2: 30317530605852378027753259
Found probable prime factor of 26 digits: 30317530605852378027753259
Probable prime cofactor 206528246841222639643707452738464727891967304267811955740790296785036326384326299722004990237330428708165235228687283815001063755481900228014817630963 has 150 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:20:31 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 31 秒 (日本時間)

10210-613

c165

composite cofactor 合成数の残り
114062220631776085574510345852480113464768051500218323343350313900527757708197709701138563856013651901627158914254442023928334848000793831421478799818699805118056837<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:31 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 31 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:55 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 55 秒 (日本時間)
4511e61266 / 4342242CypJanuary 1, 2015 10:19:14 UTC 2015 年 1 月 1 日 (木) 19 時 19 分 14 秒 (日本時間)
512Youcef LemsaferNovember 27, 2016 09:52:33 UTC 2016 年 11 月 27 日 (日) 18 時 52 分 33 秒 (日本時間)
512Youcef LemsaferDecember 5, 2016 09:15:28 UTC 2016 年 12 月 5 日 (月) 18 時 15 分 28 秒 (日本時間)

10212-613

c147

name 名前Serge Batalov
date 日付December 20, 2014 01:07:58 UTC 2014 年 12 月 20 日 (土) 10 時 7 分 58 秒 (日本時間)
composite number 合成数
423311417508003467850782301412725986445370850376932025232932995864728634284613694935915695764059540737035230602276515107398224430725628957937435303<147>
prime factors 素因数
29255529049261230560147823132326517953<38>
14469450092501166215983655805456692076637814410733202938942983261705652916988718424092476482011335243679854951<110>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1590993924
Step 1 took 9126ms
Step 2 took 7351ms
********** Factor found in step 2: 29255529049261230560147823132326517953
Found probable prime factor of 38 digits: 29255529049261230560147823132326517953
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:58 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 58 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:18 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 18 秒 (日本時間)

10213-613

c156

composite cofactor 合成数の残り
126733954323681306053584235789054061575614537708697936269645990395684399260616868124077034251891036186505036902979832231930146272430310252624441993405789013<156>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:32 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 32 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:55 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 55 秒 (日本時間)
4511e61522 / 4342498CypMay 18, 2015 14:27:37 UTC 2015 年 5 月 18 日 (月) 23 時 27 分 37 秒 (日本時間)
512Youcef LemsaferNovember 27, 2016 09:53:20 UTC 2016 年 11 月 27 日 (日) 18 時 53 分 20 秒 (日本時間)
512Youcef LemsaferDecember 5, 2016 09:24:35 UTC 2016 年 12 月 5 日 (月) 18 時 24 分 35 秒 (日本時間)

10214-613

c97

name 名前Cyp
date 日付December 19, 2014 23:53:10 UTC 2014 年 12 月 20 日 (土) 8 時 53 分 10 秒 (日本時間)
composite number 合成数
8053278292999824638700890767686476634040154231331070976237876871843141415899081242995179671345003<97>
prime factors 素因数
1043250784217841019549337184374496789694056197<46>
7719407849798674066832612024063424323666906420039599<52>
factorization results 素因数分解の結果
12/19/14 23:53:49 v1.34.3, 
12/19/14 23:53:49 v1.34.3, ****************************
12/19/14 23:53:49 v1.34.3, Starting factorization of 8053278292999824638700890767686476634040154231331070976237876871843141415899081242995179671345003
12/19/14 23:53:49 v1.34.3, using pretesting plan: none
12/19/14 23:53:49 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/19/14 23:53:49 v1.34.3, ****************************
12/19/14 23:53:49 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C97
12/19/14 23:53:49 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C97
12/19/14 23:53:49 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C97
12/19/14 23:53:49 v1.34.3, final ECM pretested depth: 0.00
12/19/14 23:53:49 v1.34.3, scheduler: switching to sieve method
12/19/14 23:53:49 v1.34.3, nfs: commencing nfs on c97: 8053278292999824638700890767686476634040154231331070976237876871843141415899081242995179671345003
12/19/14 23:53:49 v1.34.3, nfs: commencing poly selection with 8 threads
12/19/14 23:53:49 v1.34.3, nfs: setting deadline of 120 seconds
12/19/14 23:56:01 v1.34.3, nfs: completed 20 ranges of size 250 in 131.7062 seconds
12/19/14 23:56:01 v1.34.3, nfs: best poly = # norm 2.452622e-13 alpha -5.124976 e 1.638e-08 rroots 2
12/19/14 23:56:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/19/14 23:59:35 v1.34.3, nfs: commencing lattice sieving with 8 threads
[4 lines snipped]
12/20/14 00:17:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 00:21:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 00:24:16 v1.34.3, nfs: commencing msieve filtering
12/20/14 00:25:18 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 00:28:45 v1.34.3, nfs: commencing msieve filtering
12/20/14 00:29:49 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 00:33:15 v1.34.3, nfs: commencing msieve filtering
12/20/14 00:34:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 00:38:10 v1.34.3, nfs: commencing msieve filtering
12/20/14 00:38:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 00:41:32 v1.34.3, nfs: commencing msieve filtering
12/20/14 00:43:09 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 00:52:07 v1.34.3, nfs: commencing msieve sqrt
12/20/14 00:53:10 v1.34.3, prp46 = 1043250784217841019549337184374496789694056197
12/20/14 00:53:10 v1.34.3, prp52 = 7719407849798674066832612024063424323666906420039599
12/20/14 00:53:10 v1.34.3, NFS elapsed time = 3560.1556 seconds.
12/20/14 00:53:10 v1.34.3, 
12/20/14 00:53:10 v1.34.3, 
12/20/14 00:53:10 v1.34.3, Total factoring time = 3560.1961 seconds
--
Sat Dec 20 00:24:16 2014  
Sat Dec 20 00:24:16 2014  commencing relation filtering
Sat Dec 20 00:24:16 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 00:24:16 2014  commencing duplicate removal, pass 1
Sat Dec 20 00:24:37 2014  found 102494 hash collisions in 1942230 relations
Sat Dec 20 00:24:43 2014  added 81247 free relations
Sat Dec 20 00:24:43 2014  commencing duplicate removal, pass 2
Sat Dec 20 00:24:47 2014  found 54828 duplicates and 1968649 unique relations
Sat Dec 20 00:24:47 2014  memory use: 6.1 MB
Sat Dec 20 00:24:47 2014  reading ideals above 30000
Sat Dec 20 00:24:47 2014  commencing singleton removal, initial pass
Sat Dec 20 00:25:17 2014  memory use: 86.1 MB
Sat Dec 20 00:25:17 2014  reading all ideals from disk
Sat Dec 20 00:25:17 2014  memory use: 67.5 MB
Sat Dec 20 00:25:17 2014  keeping 2692358 ideals with weight <= 200, target excess is 9466
Sat Dec 20 00:25:17 2014  commencing in-memory singleton removal
Sat Dec 20 00:25:18 2014  begin with 1968649 relations and 2692358 unique ideals
Sat Dec 20 00:25:18 2014  reduce to 175 relations and 0 ideals in 10 passes
Sat Dec 20 00:25:18 2014  max relations containing the same ideal: 0
Sat Dec 20 00:28:45 2014  
Sat Dec 20 00:28:45 2014  commencing relation filtering
Sat Dec 20 00:28:45 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 00:28:45 2014  commencing duplicate removal, pass 1
Sat Dec 20 00:29:10 2014  found 133014 hash collisions in 2272231 relations
Sat Dec 20 00:29:15 2014  added 1276 free relations
Sat Dec 20 00:29:15 2014  commencing duplicate removal, pass 2
Sat Dec 20 00:29:18 2014  found 68530 duplicates and 2204977 unique relations
Sat Dec 20 00:29:18 2014  memory use: 8.2 MB
Sat Dec 20 00:29:18 2014  reading ideals above 100000
Sat Dec 20 00:29:18 2014  commencing singleton removal, initial pass
Sat Dec 20 00:29:48 2014  memory use: 86.1 MB
Sat Dec 20 00:29:48 2014  reading all ideals from disk
Sat Dec 20 00:29:48 2014  memory use: 67.0 MB
Sat Dec 20 00:29:48 2014  keeping 2814638 ideals with weight <= 200, target excess is 19687
Sat Dec 20 00:29:48 2014  commencing in-memory singleton removal
Sat Dec 20 00:29:48 2014  begin with 2204977 relations and 2814638 unique ideals
Sat Dec 20 00:29:49 2014  reduce to 421 relations and 1 ideals in 15 passes
Sat Dec 20 00:29:49 2014  max relations containing the same ideal: 2
Sat Dec 20 00:33:15 2014  
Sat Dec 20 00:33:15 2014  commencing relation filtering
Sat Dec 20 00:33:15 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 00:33:15 2014  commencing duplicate removal, pass 1
Sat Dec 20 00:33:42 2014  found 161012 hash collisions in 2517028 relations
Sat Dec 20 00:33:48 2014  added 823 free relations
Sat Dec 20 00:33:48 2014  commencing duplicate removal, pass 2
Sat Dec 20 00:33:53 2014  found 83280 duplicates and 2434571 unique relations
Sat Dec 20 00:33:53 2014  memory use: 8.2 MB
Sat Dec 20 00:33:53 2014  reading ideals above 100000
Sat Dec 20 00:33:53 2014  commencing singleton removal, initial pass
Sat Dec 20 00:34:24 2014  memory use: 86.1 MB
Sat Dec 20 00:34:24 2014  reading all ideals from disk
Sat Dec 20 00:34:24 2014  memory use: 74.0 MB
Sat Dec 20 00:34:24 2014  keeping 2928458 ideals with weight <= 200, target excess is 19795
Sat Dec 20 00:34:24 2014  commencing in-memory singleton removal
Sat Dec 20 00:34:24 2014  begin with 2434571 relations and 2928458 unique ideals
Sat Dec 20 00:34:27 2014  reduce to 499120 relations and 564126 ideals in 46 passes
Sat Dec 20 00:34:27 2014  max relations containing the same ideal: 62
Sat Dec 20 00:38:10 2014  
Sat Dec 20 00:38:10 2014  commencing relation filtering
Sat Dec 20 00:38:10 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 00:38:10 2014  commencing duplicate removal, pass 1
Sat Dec 20 00:38:27 2014  found 192502 hash collisions in 2770094 relations
Sat Dec 20 00:38:30 2014  added 713 free relations
Sat Dec 20 00:38:30 2014  commencing duplicate removal, pass 2
Sat Dec 20 00:38:33 2014  found 100183 duplicates and 2670624 unique relations
Sat Dec 20 00:38:33 2014  memory use: 8.2 MB
Sat Dec 20 00:38:33 2014  reading ideals above 100000
Sat Dec 20 00:38:33 2014  commencing singleton removal, initial pass
Sat Dec 20 00:38:55 2014  memory use: 86.1 MB
Sat Dec 20 00:38:55 2014  reading all ideals from disk
Sat Dec 20 00:38:55 2014  memory use: 81.3 MB
Sat Dec 20 00:38:55 2014  keeping 3033753 ideals with weight <= 200, target excess is 19906
Sat Dec 20 00:38:55 2014  commencing in-memory singleton removal
Sat Dec 20 00:38:55 2014  begin with 2670624 relations and 3033753 unique ideals
Sat Dec 20 00:38:57 2014  reduce to 873267 relations and 875406 ideals in 20 passes
Sat Dec 20 00:38:57 2014  max relations containing the same ideal: 88
Sat Dec 20 00:41:32 2014  
Sat Dec 20 00:41:32 2014  commencing relation filtering
Sat Dec 20 00:41:32 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 00:41:32 2014  commencing duplicate removal, pass 1
Sat Dec 20 00:41:50 2014  found 224401 hash collisions in 3010271 relations
Sat Dec 20 00:41:56 2014  added 454 free relations
Sat Dec 20 00:41:56 2014  commencing duplicate removal, pass 2
Sat Dec 20 00:42:03 2014  found 117182 duplicates and 2893543 unique relations
Sat Dec 20 00:42:03 2014  memory use: 12.3 MB
Sat Dec 20 00:42:03 2014  reading ideals above 100000
Sat Dec 20 00:42:03 2014  commencing singleton removal, initial pass
Sat Dec 20 00:42:44 2014  memory use: 86.1 MB
Sat Dec 20 00:42:44 2014  reading all ideals from disk
Sat Dec 20 00:42:44 2014  memory use: 88.1 MB
Sat Dec 20 00:42:45 2014  keeping 3122117 ideals with weight <= 200, target excess is 20022
Sat Dec 20 00:42:45 2014  commencing in-memory singleton removal
Sat Dec 20 00:42:45 2014  begin with 2893543 relations and 3122117 unique ideals
Sat Dec 20 00:42:50 2014  reduce to 1189365 relations and 1109403 ideals in 19 passes
Sat Dec 20 00:42:50 2014  max relations containing the same ideal: 106
Sat Dec 20 00:42:50 2014  removing 214542 relations and 186174 ideals in 28368 cliques
Sat Dec 20 00:42:51 2014  commencing in-memory singleton removal
Sat Dec 20 00:42:51 2014  begin with 974823 relations and 1109403 unique ideals
Sat Dec 20 00:42:52 2014  reduce to 940871 relations and 888213 ideals in 9 passes
Sat Dec 20 00:42:52 2014  max relations containing the same ideal: 86
Sat Dec 20 00:42:52 2014  removing 162421 relations and 134053 ideals in 28368 cliques
Sat Dec 20 00:42:52 2014  commencing in-memory singleton removal
Sat Dec 20 00:42:52 2014  begin with 778450 relations and 888213 unique ideals
Sat Dec 20 00:42:53 2014  reduce to 753938 relations and 728867 ideals in 10 passes
Sat Dec 20 00:42:53 2014  max relations containing the same ideal: 74
Sat Dec 20 00:42:54 2014  relations with 0 large ideals: 421
Sat Dec 20 00:42:54 2014  relations with 1 large ideals: 293
Sat Dec 20 00:42:54 2014  relations with 2 large ideals: 4175
Sat Dec 20 00:42:54 2014  relations with 3 large ideals: 26160
Sat Dec 20 00:42:54 2014  relations with 4 large ideals: 95252
Sat Dec 20 00:42:54 2014  relations with 5 large ideals: 201226
Sat Dec 20 00:42:54 2014  relations with 6 large ideals: 224211
Sat Dec 20 00:42:54 2014  relations with 7+ large ideals: 202200
Sat Dec 20 00:42:54 2014  commencing 2-way merge
Sat Dec 20 00:42:55 2014  reduce to 434085 relation sets and 409014 unique ideals
Sat Dec 20 00:42:55 2014  commencing full merge
Sat Dec 20 00:43:05 2014  memory use: 43.8 MB
Sat Dec 20 00:43:05 2014  found 202874 cycles, need 199214
Sat Dec 20 00:43:05 2014  weight of 199214 cycles is about 14239651 (71.48/cycle)
Sat Dec 20 00:43:05 2014  distribution of cycle lengths:
Sat Dec 20 00:43:05 2014  1 relations: 19292
Sat Dec 20 00:43:05 2014  2 relations: 19688
Sat Dec 20 00:43:05 2014  3 relations: 19906
Sat Dec 20 00:43:05 2014  4 relations: 18593
Sat Dec 20 00:43:05 2014  5 relations: 16947
Sat Dec 20 00:43:05 2014  6 relations: 15549
Sat Dec 20 00:43:05 2014  7 relations: 13824
Sat Dec 20 00:43:05 2014  8 relations: 12234
Sat Dec 20 00:43:05 2014  9 relations: 10694
Sat Dec 20 00:43:05 2014  10+ relations: 52487
Sat Dec 20 00:43:05 2014  heaviest cycle: 24 relations
Sat Dec 20 00:43:05 2014  commencing cycle optimization
Sat Dec 20 00:43:06 2014  start with 1368387 relations
Sat Dec 20 00:43:08 2014  pruned 34709 relations
Sat Dec 20 00:43:08 2014  memory use: 43.7 MB
Sat Dec 20 00:43:08 2014  distribution of cycle lengths:
Sat Dec 20 00:43:08 2014  1 relations: 19292
Sat Dec 20 00:43:08 2014  2 relations: 20131
Sat Dec 20 00:43:08 2014  3 relations: 20603
Sat Dec 20 00:43:08 2014  4 relations: 19076
Sat Dec 20 00:43:08 2014  5 relations: 17405
Sat Dec 20 00:43:08 2014  6 relations: 15842
Sat Dec 20 00:43:08 2014  7 relations: 14019
Sat Dec 20 00:43:08 2014  8 relations: 12291
Sat Dec 20 00:43:08 2014  9 relations: 10786
Sat Dec 20 00:43:08 2014  10+ relations: 49769
Sat Dec 20 00:43:08 2014  heaviest cycle: 24 relations
Sat Dec 20 00:43:09 2014  RelProcTime: 97
Sat Dec 20 00:43:09 2014  
Sat Dec 20 00:43:09 2014  commencing linear algebra
Sat Dec 20 00:43:09 2014  read 199214 cycles
Sat Dec 20 00:43:09 2014  cycles contain 716916 unique relations
Sat Dec 20 00:43:15 2014  read 716916 relations
Sat Dec 20 00:43:15 2014  using 20 quadratic characters above 33553538
Sat Dec 20 00:43:21 2014  building initial matrix
Sat Dec 20 00:43:36 2014  memory use: 87.2 MB
Sat Dec 20 00:43:36 2014  read 199214 cycles
Sat Dec 20 00:43:36 2014  matrix is 199145 x 199214 (60.4 MB) with weight 19137244 (96.06/col)
Sat Dec 20 00:43:36 2014  sparse part has weight 13644874 (68.49/col)
Sat Dec 20 00:43:39 2014  filtering completed in 2 passes
Sat Dec 20 00:43:39 2014  matrix is 198591 x 198748 (60.4 MB) with weight 19113247 (96.17/col)
Sat Dec 20 00:43:39 2014  sparse part has weight 13634679 (68.60/col)
Sat Dec 20 00:43:40 2014  matrix starts at (0, 0)
Sat Dec 20 00:43:40 2014  matrix is 198591 x 198748 (60.4 MB) with weight 19113247 (96.17/col)
Sat Dec 20 00:43:40 2014  sparse part has weight 13634679 (68.60/col)
Sat Dec 20 00:43:40 2014  saving the first 48 matrix rows for later
Sat Dec 20 00:43:40 2014  matrix includes 64 packed rows
Sat Dec 20 00:43:40 2014  matrix is 198543 x 198748 (57.9 MB) with weight 15089319 (75.92/col)
Sat Dec 20 00:43:40 2014  sparse part has weight 13198757 (66.41/col)
Sat Dec 20 00:43:40 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 20 00:43:41 2014  commencing Lanczos iteration
Sat Dec 20 00:43:41 2014  memory use: 43.4 MB
Sat Dec 20 00:44:15 2014  linear algebra at 6.1%, ETA 0h 8m
Sat Dec 20 00:52:06 2014  lanczos halted after 3140 iterations (dim = 198541)
Sat Dec 20 00:52:06 2014  recovered 34 nontrivial dependencies
Sat Dec 20 00:52:07 2014  BLanczosTime: 538
Sat Dec 20 00:52:07 2014  
Sat Dec 20 00:52:07 2014  commencing square root phase
Sat Dec 20 00:52:07 2014  reading relations for dependency 1
Sat Dec 20 00:52:07 2014  read 99602 cycles
Sat Dec 20 00:52:07 2014  cycles contain 359366 unique relations
Sat Dec 20 00:52:15 2014  read 359366 relations
Sat Dec 20 00:52:17 2014  multiplying 359366 relations
Sat Dec 20 00:52:40 2014  multiply complete, coefficients have about 15.05 million bits
Sat Dec 20 00:52:40 2014  initial square root is modulo 441938669
Sat Dec 20 00:53:09 2014  sqrtTime: 62
--
n: 8053278292999824638700890767686476634040154231331070976237876871843141415899081242995179671345003
skew: 758006.65
c0: -136039593897572108768408307
c1: -3172708139073195153749
c2: 859561765552315
c3: 5074391461
c4: 4872
Y0: -201633147500643131779522
Y1: 7894209949223
rlim: 1620000
alim: 1620000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:32 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 32 秒 (日本時間)

10215-613

c193

composite cofactor 合成数の残り
1783714156491450601863777100657386372974461677043867005805543526824345263416729276036140414937661010044927161073851642746148786806594012446013752357031017090352388944286468506700212256488816243<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:32 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 32 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:55 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 55 秒 (日本時間)
4511e61522 / 4342498CypFebruary 7, 2015 20:37:07 UTC 2015 年 2 月 8 日 (日) 5 時 37 分 7 秒 (日本時間)
512Youcef LemsaferNovember 27, 2016 09:53:58 UTC 2016 年 11 月 27 日 (日) 18 時 53 分 58 秒 (日本時間)
512Youcef LemsaferDecember 5, 2016 14:32:35 UTC 2016 年 12 月 5 日 (月) 23 時 32 分 35 秒 (日本時間)

10219-613

c219

name 名前Youcef Lemsafer
date 日付January 20, 2017 09:06:53 UTC 2017 年 1 月 20 日 (金) 18 時 6 分 53 秒 (日本時間)
composite number 合成数
333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333313<219>
prime factors 素因数
84720872220533503789648326368454401256235167067025520572715769169<65>
3934488923410121480243238574712996810656857967148817758633161110551434197323325278621326732846514625233734934789021214756260412456167258746793214662081777<154>
factorization results 素因数分解の結果
<Parameters where as follows:>
#
# 33313_219, C219, SNFS_diff=219
# f(X) = 1000*X^6-61
# g(X) = X-10^36
#
n: 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333313
c0: -61
c6: 1000
Y0: -1000000000000000000000000000000000000
Y1: 1
skew: 0.63
type: snfs
lpbr: 29
lpba: 29
rlim: 33554432
alim: 30000000
mfbr: 87
mfba: 58
rlambda: 3.6
alambda: 2.6

<3419 thread.hour of sieving using 64 threads produced 55861401 relations.>
<Siever used: gnfs-lasieve4I14e -r.>

<Post-processing on the same machine:>

<...Previous filtering attempts removed...>
<...Full log at http://pastebin.com/05PW0gyM ...>
Thu Jan 19 15:32:07 2017  
Thu Jan 19 15:32:07 2017  Msieve v. 1.54 (SVN 1009)
Thu Jan 19 15:32:07 2017  random seeds: 9a32199a f3561448
Thu Jan 19 15:32:07 2017  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333313 (219 digits)
Thu Jan 19 15:32:08 2017  no P-1/P+1/ECM available, skipping
Thu Jan 19 15:32:08 2017  commencing number field sieve (219-digit input)
Thu Jan 19 15:32:08 2017  R0: -1000000000000000000000000000000000000
Thu Jan 19 15:32:08 2017  R1: 1
Thu Jan 19 15:32:08 2017  A0: -61
Thu Jan 19 15:32:08 2017  A1: 0
Thu Jan 19 15:32:08 2017  A2: 0
Thu Jan 19 15:32:08 2017  A3: 0
Thu Jan 19 15:32:08 2017  A4: 0
Thu Jan 19 15:32:08 2017  A5: 0
Thu Jan 19 15:32:08 2017  A6: 1000
Thu Jan 19 15:32:08 2017  skew 1.00, size 4.189e-11, alpha 0.181, combined = 1.814e-12 rroots = 2
Thu Jan 19 15:32:08 2017  
Thu Jan 19 15:32:08 2017  commencing relation filtering
Thu Jan 19 15:32:08 2017  setting target matrix density to 96.0
Thu Jan 19 15:32:08 2017  estimated available RAM is 257950.4 MB
Thu Jan 19 15:32:08 2017  commencing duplicate removal, pass 1
Thu Jan 19 15:41:16 2017  skipped 1 relations with b > 2^32
Thu Jan 19 15:41:16 2017  found 12062150 hash collisions in 57080441 relations
Thu Jan 19 15:41:30 2017  commencing duplicate removal, pass 2
Thu Jan 19 15:42:39 2017  found 12626411 duplicates and 44454030 unique relations
Thu Jan 19 15:42:39 2017  memory use: 330.4 MB
Thu Jan 19 15:42:39 2017  reading ideals above 720000
Thu Jan 19 15:42:39 2017  commencing singleton removal, initial pass
Thu Jan 19 15:49:34 2017  memory use: 1378.0 MB
Thu Jan 19 15:49:35 2017  reading all ideals from disk
Thu Jan 19 15:49:35 2017  memory use: 1624.8 MB
Thu Jan 19 15:49:38 2017  keeping 46482067 ideals with weight <= 200, target excess is 232302
Thu Jan 19 15:49:41 2017  commencing in-memory singleton removal
Thu Jan 19 15:49:44 2017  begin with 44454030 relations and 46482067 unique ideals
Thu Jan 19 15:50:19 2017  reduce to 23482577 relations and 22797488 ideals in 21 passes
Thu Jan 19 15:50:19 2017  max relations containing the same ideal: 138
Thu Jan 19 15:50:27 2017  removing 2097651 relations and 1889842 ideals in 207809 cliques
Thu Jan 19 15:50:28 2017  commencing in-memory singleton removal
Thu Jan 19 15:50:29 2017  begin with 21384926 relations and 22797488 unique ideals
Thu Jan 19 15:50:42 2017  reduce to 21188616 relations and 20708523 ideals in 10 passes
Thu Jan 19 15:50:42 2017  max relations containing the same ideal: 131
Thu Jan 19 15:50:50 2017  removing 1541318 relations and 1333509 ideals in 207809 cliques
Thu Jan 19 15:50:50 2017  commencing in-memory singleton removal
Thu Jan 19 15:50:51 2017  begin with 19647298 relations and 20708523 unique ideals
Thu Jan 19 15:51:02 2017  reduce to 19535187 relations and 19261537 ideals in 9 passes
Thu Jan 19 15:51:02 2017  max relations containing the same ideal: 124
Thu Jan 19 15:51:12 2017  relations with 0 large ideals: 7963
Thu Jan 19 15:51:12 2017  relations with 1 large ideals: 3586
Thu Jan 19 15:51:12 2017  relations with 2 large ideals: 23025
Thu Jan 19 15:51:12 2017  relations with 3 large ideals: 195849
Thu Jan 19 15:51:12 2017  relations with 4 large ideals: 932099
Thu Jan 19 15:51:12 2017  relations with 5 large ideals: 2650569
Thu Jan 19 15:51:12 2017  relations with 6 large ideals: 4692900
Thu Jan 19 15:51:12 2017  relations with 7+ large ideals: 11029196
Thu Jan 19 15:51:12 2017  commencing 2-way merge
Thu Jan 19 15:51:22 2017  reduce to 12220739 relation sets and 11947089 unique ideals
Thu Jan 19 15:51:22 2017  commencing full merge
Thu Jan 19 16:00:26 2017  memory use: 552.7 MB
Thu Jan 19 16:00:26 2017  found 52730 cycles, need 2575502
Thu Jan 19 16:00:26 2017  too few cycles, matrix probably cannot build
Thu Jan 19 16:02:00 2017  
Thu Jan 19 16:02:00 2017  
Thu Jan 19 16:02:00 2017  Msieve v. 1.54 (SVN 1009)
Thu Jan 19 16:02:00 2017  random seeds: 5ed5c569 92c9bc50
Thu Jan 19 16:02:00 2017  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333313 (219 digits)
Thu Jan 19 16:02:01 2017  no P-1/P+1/ECM available, skipping
Thu Jan 19 16:02:01 2017  commencing number field sieve (219-digit input)
Thu Jan 19 16:02:01 2017  R0: -1000000000000000000000000000000000000
Thu Jan 19 16:02:01 2017  R1: 1
Thu Jan 19 16:02:01 2017  A0: -61
Thu Jan 19 16:02:01 2017  A1: 0
Thu Jan 19 16:02:01 2017  A2: 0
Thu Jan 19 16:02:01 2017  A3: 0
Thu Jan 19 16:02:01 2017  A4: 0
Thu Jan 19 16:02:01 2017  A5: 0
Thu Jan 19 16:02:01 2017  A6: 1000
Thu Jan 19 16:02:01 2017  skew 1.00, size 4.189e-11, alpha 0.181, combined = 1.814e-12 rroots = 2
Thu Jan 19 16:02:01 2017  
Thu Jan 19 16:02:01 2017  commencing relation filtering
Thu Jan 19 16:02:01 2017  setting target matrix density to 80.0
Thu Jan 19 16:02:01 2017  estimated available RAM is 257950.4 MB
Thu Jan 19 16:02:01 2017  commencing duplicate removal, pass 1
Thu Jan 19 16:11:10 2017  skipped 1 relations with b > 2^32
Thu Jan 19 16:11:10 2017  found 12062150 hash collisions in 57080441 relations
Thu Jan 19 16:11:23 2017  commencing duplicate removal, pass 2
Thu Jan 19 16:12:34 2017  found 12626411 duplicates and 44454030 unique relations
Thu Jan 19 16:12:34 2017  memory use: 330.4 MB
Thu Jan 19 16:12:34 2017  reading ideals above 720000
Thu Jan 19 16:12:34 2017  commencing singleton removal, initial pass
Thu Jan 19 16:19:27 2017  memory use: 1378.0 MB
Thu Jan 19 16:19:27 2017  reading all ideals from disk
Thu Jan 19 16:19:28 2017  memory use: 1624.8 MB
Thu Jan 19 16:19:30 2017  keeping 46482067 ideals with weight <= 200, target excess is 232302
Thu Jan 19 16:19:33 2017  commencing in-memory singleton removal
Thu Jan 19 16:19:36 2017  begin with 44454030 relations and 46482067 unique ideals
Thu Jan 19 16:20:11 2017  reduce to 23482577 relations and 22797488 ideals in 21 passes
Thu Jan 19 16:20:11 2017  max relations containing the same ideal: 138
Thu Jan 19 16:20:19 2017  removing 2097651 relations and 1889842 ideals in 207809 cliques
Thu Jan 19 16:20:20 2017  commencing in-memory singleton removal
Thu Jan 19 16:20:21 2017  begin with 21384926 relations and 22797488 unique ideals
Thu Jan 19 16:20:34 2017  reduce to 21188616 relations and 20708523 ideals in 10 passes
Thu Jan 19 16:20:34 2017  max relations containing the same ideal: 131
Thu Jan 19 16:20:41 2017  removing 1541318 relations and 1333509 ideals in 207809 cliques
Thu Jan 19 16:20:42 2017  commencing in-memory singleton removal
Thu Jan 19 16:20:43 2017  begin with 19647298 relations and 20708523 unique ideals
Thu Jan 19 16:20:53 2017  reduce to 19535187 relations and 19261537 ideals in 9 passes
Thu Jan 19 16:20:53 2017  max relations containing the same ideal: 124
Thu Jan 19 16:21:04 2017  relations with 0 large ideals: 7963
Thu Jan 19 16:21:04 2017  relations with 1 large ideals: 3586
Thu Jan 19 16:21:04 2017  relations with 2 large ideals: 23025
Thu Jan 19 16:21:04 2017  relations with 3 large ideals: 195849
Thu Jan 19 16:21:04 2017  relations with 4 large ideals: 932099
Thu Jan 19 16:21:04 2017  relations with 5 large ideals: 2650569
Thu Jan 19 16:21:04 2017  relations with 6 large ideals: 4692900
Thu Jan 19 16:21:04 2017  relations with 7+ large ideals: 11029196
Thu Jan 19 16:21:04 2017  commencing 2-way merge
Thu Jan 19 16:21:14 2017  reduce to 12220739 relation sets and 11947089 unique ideals
Thu Jan 19 16:21:14 2017  commencing full merge
Thu Jan 19 16:24:52 2017  memory use: 1477.8 MB
Thu Jan 19 16:24:53 2017  found 6065661 cycles, need 6045289
Thu Jan 19 16:24:55 2017  weight of 6045289 cycles is about 483840918 (80.04/cycle)
Thu Jan 19 16:24:55 2017  distribution of cycle lengths:
Thu Jan 19 16:24:55 2017  1 relations: 793071
Thu Jan 19 16:24:55 2017  2 relations: 757571
Thu Jan 19 16:24:55 2017  3 relations: 708979
Thu Jan 19 16:24:55 2017  4 relations: 604266
Thu Jan 19 16:24:55 2017  5 relations: 521041
Thu Jan 19 16:24:55 2017  6 relations: 436585
Thu Jan 19 16:24:55 2017  7 relations: 367913
Thu Jan 19 16:24:55 2017  8 relations: 313788
Thu Jan 19 16:24:55 2017  9 relations: 264406
Thu Jan 19 16:24:55 2017  10+ relations: 1277669
Thu Jan 19 16:24:55 2017  heaviest cycle: 28 relations
Thu Jan 19 16:24:56 2017  commencing cycle optimization
Thu Jan 19 16:25:05 2017  start with 37400417 relations
Thu Jan 19 16:26:06 2017  pruned 1006795 relations
Thu Jan 19 16:26:06 2017  memory use: 1176.3 MB
Thu Jan 19 16:26:06 2017  distribution of cycle lengths:
Thu Jan 19 16:26:06 2017  1 relations: 793071
Thu Jan 19 16:26:06 2017  2 relations: 774522
Thu Jan 19 16:26:06 2017  3 relations: 734818
Thu Jan 19 16:26:06 2017  4 relations: 617649
Thu Jan 19 16:26:06 2017  5 relations: 532308
Thu Jan 19 16:26:06 2017  6 relations: 441684
Thu Jan 19 16:26:06 2017  7 relations: 370416
Thu Jan 19 16:26:06 2017  8 relations: 312838
Thu Jan 19 16:26:06 2017  9 relations: 261748
Thu Jan 19 16:26:06 2017  10+ relations: 1206235
Thu Jan 19 16:26:06 2017  heaviest cycle: 28 relations
Thu Jan 19 16:26:18 2017  RelProcTime: 1457
Thu Jan 19 16:26:20 2017  elapsed time 00:24:20
Thu Jan 19 17:20:44 2017  
<...snipped...>
Thu Jan 19 17:20:45 2017  
Thu Jan 19 17:20:45 2017  commencing linear algebra
Thu Jan 19 17:20:45 2017  initialized process (0,0) of 1 x 2 grid
Thu Jan 19 17:20:46 2017  read 6042004 cycles
Thu Jan 19 17:20:54 2017  cycles contain 19207678 unique relations
Thu Jan 19 17:23:31 2017  read 19207678 relations
Thu Jan 19 17:23:53 2017  using 20 quadratic characters above 4294917295
Thu Jan 19 17:25:29 2017  building initial matrix
Thu Jan 19 17:28:26 2017  memory use: 2496.0 MB
Thu Jan 19 17:28:31 2017  read 6042004 cycles
Thu Jan 19 17:28:31 2017  matrix is 6041827 x 6042004 (2025.0 MB) with weight 591845526 (97.96/col)
Thu Jan 19 17:28:31 2017  sparse part has weight 464383585 (76.86/col)
Thu Jan 19 17:29:00 2017  filtering completed in 1 passes
Thu Jan 19 17:29:01 2017  matrix is 6041827 x 6042004 (2025.0 MB) with weight 591845526 (97.96/col)
Thu Jan 19 17:29:01 2017  sparse part has weight 464383585 (76.86/col)
Thu Jan 19 17:29:25 2017  matrix starts at (0, 0)
Thu Jan 19 17:29:25 2017  matrix is 6041827 x 3021007 (1012.5 MB) with weight 295918480 (97.95/col)
Thu Jan 19 17:29:25 2017  sparse part has weight 232191907 (76.86/col)
Thu Jan 19 17:29:25 2017  saving the first 48 matrix rows for later
Thu Jan 19 17:29:25 2017  matrix includes 64 packed rows
Thu Jan 19 17:29:26 2017  matrix is 6041779 x 3021007 (966.5 MB) with weight 239470950 (79.27/col)
Thu Jan 19 17:29:26 2017  sparse part has weight 223144195 (73.86/col)
Thu Jan 19 17:29:26 2017  using block size 8192 and superblock size 4423680 for processor cache size 46080 kB
Thu Jan 19 17:29:36 2017  commencing Lanczos iteration (8 threads)
Thu Jan 19 17:29:36 2017  memory use: 819.9 MB
Thu Jan 19 17:29:44 2017  linear algebra at 0.0%, ETA 7h43m
Thu Jan 19 17:29:46 2017  checkpointing every 820000 dimensions
Fri Jan 20 01:01:49 2017  lanczos halted after 95545 iterations (dim = 6041778)
Fri Jan 20 01:01:55 2017  recovered 37 nontrivial dependencies
Fri Jan 20 01:01:55 2017  BLanczosTime: 27670
Fri Jan 20 01:01:55 2017  elapsed time 07:41:11
Fri Jan 20 01:01:55 2017  
<...snipped...>
Fri Jan 20 01:01:56 2017  
Fri Jan 20 01:01:56 2017  commencing square root phase
Fri Jan 20 01:01:56 2017  reading relations for dependency 1
Fri Jan 20 01:01:57 2017  read 3023354 cycles
Fri Jan 20 01:02:00 2017  cycles contain 9608246 unique relations
Fri Jan 20 01:03:46 2017  read 9608246 relations
Fri Jan 20 01:04:21 2017  multiplying 9608246 relations
Fri Jan 20 01:12:00 2017  multiply complete, coefficients have about 323.99 million bits
Fri Jan 20 01:12:01 2017  initial square root is modulo 650821
Fri Jan 20 01:20:14 2017  sqrtTime: 1098
Fri Jan 20 01:20:14 2017  p65 factor: 84720872220533503789648326368454401256235167067025520572715769169
Fri Jan 20 01:20:14 2017  p154 factor: 3934488923410121480243238574712996810656857967148817758633161110551434197323325278621326732846514625233734934789021214756260412456167258746793214662081777
Fri Jan 20 01:20:14 2017  elapsed time 00:18:19
software ソフトウェア
GGNFS, msieve 1.54 (SVN 1009)
execution environment 実行環境
Dual Intel(R) Xeon(R) CPU E5-2686 v4 @ 2.30GHz, 256GB RAM, Ubuntu 16.04

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:38 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 38 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:55 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 55 秒 (日本時間)
4511e62000Serge BatalovDecember 20, 2014 04:01:57 UTC 2014 年 12 月 20 日 (土) 13 時 1 分 57 秒 (日本時間)
5043e62664 / 68561000Serge BatalovJanuary 11, 2015 21:22:44 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 44 秒 (日本時間)
512Youcef LemsaferNovember 27, 2016 09:54:30 UTC 2016 年 11 月 27 日 (日) 18 時 54 分 30 秒 (日本時間)
1152Youcef LemsaferJanuary 16, 2017 14:49:59 UTC 2017 年 1 月 16 日 (月) 23 時 49 分 59 秒 (日本時間)
5511e764 / 16674Youcef LemsaferJanuary 16, 2017 14:49:59 UTC 2017 年 1 月 16 日 (月) 23 時 49 分 59 秒 (日本時間)

10220-613

c167

name 名前Erik Branger
date 日付January 21, 2018 08:15:15 UTC 2018 年 1 月 21 日 (日) 17 時 15 分 15 秒 (日本時間)
composite number 合成数
25743492112194165200999759974197157784618325667925298873978452778962783244189515634661241707737015979783434487688697498761351891532975253548521438657190506366324029039<167>
prime factors 素因数
86354733157795858326004390319125712908806796440031632817778890957686877<71>
298113272669757724358908659981752439596325697519887800668997057994353249544504519579772616891707<96>
factorization results 素因数分解の結果
Number: 33313_220
N = 25743492112194165200999759974197157784618325667925298873978452778962783244189515634661241707737015979783434487688697498761351891532975253548521438657190506366324029039 (167 digits)
SNFS difficulty: 220 digits.
Divisors found:
r1=86354733157795858326004390319125712908806796440031632817778890957686877 (pp71)
r2=298113272669757724358908659981752439596325697519887800668997057994353249544504519579772616891707 (pp96)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 69.38 hours.
Factorization parameters were as follows:
n: 25743492112194165200999759974197157784618325667925298873978452778962783244189515634661241707737015979783434487688697498761351891532975253548521438657190506366324029039
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c0: -61
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 27
mfbr: 58
mfba: 54
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/27
Total raw relations: 30615192
Relations: 7533314 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 37.19 hours.
Total relation processing time: 0.38 hours.
Pruned matrix : 6543831 x 6544078
Matrix solve time: 31.23 hours.
time per square root: 0.58 hours.
Prototype def-par.txt line would be: snfs,220,4,0,0,0,0,0,0,0,0,536870912,67108864,29,27,58,54,2.8,2.8,100000
total time: 69.38 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.15063-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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:33 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 33 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:56 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 56 秒 (日本時間)
4511e61522 / 4342498CypJune 8, 2015 15:27:40 UTC 2015 年 6 月 9 日 (火) 0 時 27 分 40 秒 (日本時間)
512Youcef LemsaferNovember 27, 2016 09:56:35 UTC 2016 年 11 月 27 日 (日) 18 時 56 分 35 秒 (日本時間)
512Youcef LemsaferDecember 6, 2016 12:46:43 UTC 2016 年 12 月 6 日 (火) 21 時 46 分 43 秒 (日本時間)

10221-613

c179

name 名前Serge Batalov
date 日付December 20, 2014 21:47:21 UTC 2014 年 12 月 21 日 (日) 6 時 47 分 21 秒 (日本時間)
composite number 合成数
16268959391340710744349076097687244744887855579725661417311959825963038531099128898667793070687250907015742702219292740780715246764562783444043125763347877350288743862034415340209<179>
prime factors 素因数
736845132658032844373964177928003853<36>
149301732825459350755337490172093394137<39>
147883155127927490808999466650259033908348437510546288419471121737214574545385445338836330021674575911869<105>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4020583171
Step 1 took 13664ms
Step 2 took 9208ms
********** Factor found in step 2: 736845132658032844373964177928003853
Found probable prime factor of 36 digits: 736845132658032844373964177928003853

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=339407575
Step 1 took 13700ms
Step 2 took 9172ms
********** Factor found in step 2: 149301732825459350755337490172093394137
Found probable prime factor of 39 digits: 149301732825459350755337490172093394137

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:20:33 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 33 秒 (日本時間)

10223-613

c222

name 名前Bob Backstrom
date 日付July 14, 2018 05:46:57 UTC 2018 年 7 月 14 日 (土) 14 時 46 分 57 秒 (日本時間)
composite number 合成数
114942528735632183908045977011494252873563218390804597701149425287356321839080459770114942528735632183908045977011494252873563218390804597701149425287356321839080459770114942528735632183908045977011494252873563218390804597<222>
prime factors 素因数
2608384567009717957519171360339539675639362548957876137099623817770023430785969881909145467433934466206651<106>
44066557588708485474405427125542568284444953130624942529304918808190248300031321068606846342353444253053562587292047<116>
factorization results 素因数分解の結果
Number: n
N=114942528735632183908045977011494252873563218390804597701149425287356321839080459770114942528735632183908045977011494252873563218390804597701149425287356321839080459770114942528735632183908045977011494252873563218390804597
  ( 222 digits)
SNFS difficulty: 223 digits.
Divisors found:

Sat Jul 14 15:39:00 2018  p106 factor: 2608384567009717957519171360339539675639362548957876137099623817770023430785969881909145467433934466206651
Sat Jul 14 15:39:00 2018  p116 factor: 44066557588708485474405427125542568284444953130624942529304918808190248300031321068606846342353444253053562587292047
Sat Jul 14 15:39:00 2018  elapsed time 16:20:13 (Msieve 1.53 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.125).
Factorization parameters were as follows:
#
# 10^223-61 = 3(221)13
#
n: 114942528735632183908045977011494252873563218390804597701149425287356321839080459770114942528735632183908045977011494252873563218390804597701149425287356321839080459770114942528735632183908045977011494252873563218390804597
m: 10000000000000000000000000000000000000
deg: 6
c6: 10
c0: -61
skew: 1.35
# Murphy_E = 1.454e-12
type: snfs
lss: 1
rlim: 36000000
alim: 36000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 36000000/36000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 116400000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 16300876 hash collisions in 71551136 relations (56054798 unique)
Msieve: matrix is 5695556 x 5695781 (1619.5 MB)

Sieving start time: 2018/07/10 18:22:27
Sieving end time  : 2018/07/13 23:16:42

Total sieving time: 76hrs 54min 15secs.

Total relation processing time: 15hrs 48min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 54sec.

Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,36000000,36000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.036000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16286680K/16703460K available (12300K kernel code, 2470K rwdata, 4240K rodata, 2408K init, 2416K bss, 416780K reserved, 0K cma-reserved)
[    0.068657] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.50 BogoMIPS (lpj=11977000)
[    0.066215] smpboot: Total of 16 processors activated (95816.00 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:41 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 41 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:57 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 57 秒 (日本時間)
4511e61024 / 3916512Youcef LemsaferNovember 28, 2016 09:32:16 UTC 2016 年 11 月 28 日 (月) 18 時 32 分 16 秒 (日本時間)
512Youcef LemsaferDecember 6, 2016 16:17:21 UTC 2016 年 12 月 7 日 (水) 1 時 17 分 21 秒 (日本時間)

10224-613

c215

name 名前Serge Batalov
date 日付December 21, 2014 01:53:18 UTC 2014 年 12 月 21 日 (日) 10 時 53 分 18 秒 (日本時間)
composite number 合成数
10174810999047245248028944592535274309745764239077669573095628902242814836343313025950028139187666473586705949776398083852446263677316840867413109584257876819276797903406772210145991721926189843926993937466153103297<215>
prime factors 素因数
23379140425137367696963716017692621<35>
composite cofactor 合成数の残り
435208943272663609821042694002132866269270690614102766166065077335947640446303492003067534758326751743466116751393515211910633227393112871169501915913038825489457073371886602965957<180>
factorization results 素因数分解の結果
Input number is 10174810999047245248028944592535274309745764239077669573095628902242814836343313025950028139187666473586705949776398083852446263677316840867413109584257876819276797903406772210145991721926189843926993937466153103297 (215 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3461930547
Step 1 took 18205ms
Step 2 took 11259ms
********** Factor found in step 2: 23379140425137367696963716017692621
Found probable prime factor of 35 digits: 23379140425137367696963716017692621
Composite cofactor 435208943272663609821042694002132866269270690614102766166065077335947640446303492003067534758326751743466116751393515211910633227393112871169501915913038825489457073371886602965957 has 180 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:34 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 34 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:56 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 56 秒 (日本時間)
4511e61522 / 4342242CypJanuary 7, 2015 14:25:28 UTC 2015 年 1 月 7 日 (水) 23 時 25 分 28 秒 (日本時間)
256CypJanuary 26, 2015 23:24:49 UTC 2015 年 1 月 27 日 (火) 8 時 24 分 49 秒 (日本時間)
512Youcef LemsaferNovember 28, 2016 09:32:42 UTC 2016 年 11 月 28 日 (月) 18 時 32 分 42 秒 (日本時間)
512Youcef LemsaferDecember 7, 2016 09:05:04 UTC 2016 年 12 月 7 日 (水) 18 時 5 分 4 秒 (日本時間)

10227-613

c202

composite cofactor 合成数の残り
4175647338714791250902839931040996008348867822326773992341546120548655127079588054839802398176701228756339070544949312214405163945512305640148836307044305179580180642211232194005768126282306397406568919<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:34 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 34 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:56 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 56 秒 (日本時間)
4511e61024 / 4342512Youcef LemsaferNovember 28, 2016 09:33:27 UTC 2016 年 11 月 28 日 (月) 18 時 33 分 27 秒 (日本時間)
512Youcef LemsaferDecember 7, 2016 09:05:27 UTC 2016 年 12 月 7 日 (水) 18 時 5 分 27 秒 (日本時間)

10228-613

c207

name 名前Serge Batalov
date 日付December 21, 2014 01:53:22 UTC 2014 年 12 月 21 日 (日) 10 時 53 分 22 秒 (日本時間)
composite number 合成数
112436794058524531918999071149617016814916499282615788827181602861221322963137897704693844451218888251637750609616719881484274219485821204985145627166599507788529114096453738150983466568220110919556674502607<207>
prime factors 素因数
1521569029905583369285844983543009<34>
composite cofactor 合成数の残り
73895296137501876471504359794905016938843229344687490529231789234165850186146057424048078161288164106513276295954721939043446249761631026948244896173756324851783339967912623<173>
factorization results 素因数分解の結果
Input number is 112436794058524531918999071149617016814916499282615788827181602861221322963137897704693844451218888251637750609616719881484274219485821204985145627166599507788529114096453738150983466568220110919556674502607 (207 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3788105370
Step 1 took 15118ms
Step 2 took 9871ms
********** Factor found in step 2: 1521569029905583369285844983543009
Found probable prime factor of 34 digits: 1521569029905583369285844983543009
Composite cofactor 73895296137501876471504359794905016938843229344687490529231789234165850186146057424048078161288164106513276295954721939043446249761631026948244896173756324851783339967912623 has 173 digits

c173

name 名前Youcef Lemsafer
date 日付November 27, 2016 21:46:27 UTC 2016 年 11 月 28 日 (月) 6 時 46 分 27 秒 (日本時間)
composite number 合成数
73895296137501876471504359794905016938843229344687490529231789234165850186146057424048078161288164106513276295954721939043446249761631026948244896173756324851783339967912623<173>
prime factors 素因数
1660887071629731107842222361187585722730859<43>
44491463266670355108726411190817070475528443759417350059868534546898080667191415788769527524590722347344297228462977864247048302797<131>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is (10^228-61)/(3*263*32186149*350223694757*1521569029905583369285844983543009) (173 digits)
[Sun Nov 27 20:43:53 2016]
Using MODMULN [mulredc:0, sqrredc:2]
Using B1=11000000, B2=11000000-35133391030, polynomial Dickson(12), sigma=1894091495
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
122     686     4482    33676   284176  2657998 2.7e+007        3e+008  3.7e+009        4.4e+010
Step 1 took 34734ms
Using 21 small primes for NTT
Estimated memory usage: 114M
Initializing tables of differences for F took 32ms
Computing roots of F took 1015ms
Building F from its roots took 1094ms
Computing 1/F took 453ms
Initializing table of differences for G took 47ms
Computing roots of G took 875ms
Building G from its roots took 1172ms
Computing roots of G took 922ms
Building G from its roots took 1000ms
Computing G * H took 297ms
Reducing  G * H mod F took 234ms
Computing roots of G took 828ms
Building G from its roots took 1063ms
Computing G * H took 312ms
Reducing  G * H mod F took 250ms
Computing polyeval(F,G) took 1906ms
Computing product of all F(g_i) took 16ms
Step 2 took 11641ms
********** Factor found in step 2: 1660887071629731107842222361187585722730859
Found probable prime factor of 43 digits: 1660887071629731107842222361187585722730859
Probable prime cofactor ((10^228-61)/(3*263*32186149*350223694757*1521569029905583369285844983543009))/1660887071629731107842222361187585722730859 has 131 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:20:34 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 34 秒 (日本時間)
4511e6789 / 4409329CypJanuary 1, 2015 15:20:41 UTC 2015 年 1 月 2 日 (金) 0 時 20 分 41 秒 (日本時間)
256CypJune 13, 2015 12:36:05 UTC 2015 年 6 月 13 日 (土) 21 時 36 分 5 秒 (日本時間)
204Youcef LemsaferNovember 27, 2016 21:45:33 UTC 2016 年 11 月 28 日 (月) 6 時 45 分 33 秒 (日本時間)

10231-613

c220

name 名前Serge Batalov
date 日付December 21, 2014 01:53:25 UTC 2014 年 12 月 21 日 (日) 10 時 53 分 25 秒 (日本時間)
composite number 合成数
2651669766187771736886049242945945764910646001521331373851910887088968532064852548405646895203503068656274898335293464767544372605183779902027332088294653004984301320291997813673383902417232136386512960774940292331390601<220>
prime factors 素因数
166261171954084553145224297213927<33>
15948821574047781921479179424693187309910179506652195445805707906774379091424381081906019540999232825695134764028809782388183402873414517398585028407135537613682288434314331655261665691663<188>
factorization results 素因数分解の結果
Input number is 2651669766187771736886049242945945764910646001521331373851910887088968532064852548405646895203503068656274898335293464767544372605183779902027332088294653004984301320291997813673383902417232136386512960774940292331390601 (220 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3286697440
Step 1 took 15762ms
Step 2 took 9762ms
********** Factor found in step 2: 166261171954084553145224297213927
Found probable prime factor of 33 digits: 166261171954084553145224297213927
Probable prime cofactor 15948821574047781921479179424693187309910179506652195445805707906774379091424381081906019540999232825695134764028809782388183402873414517398585028407135537613682288434314331655261665691663 has 188 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:20:35 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 35 秒 (日本時間)

10232-613

c212

name 名前Serge Batalov
date 日付December 21, 2014 01:53:28 UTC 2014 年 12 月 21 日 (日) 10 時 53 分 28 秒 (日本時間)
composite number 合成数
85581331340801415671617934883910345793138083615239989977223410974096585784828132113824069521873356370440696847309216701346881054118914569478332022969346676902107762547634739260411783721420212247450759017448152471<212>
prime factors 素因数
18919608285610528329152837726802071<35>
4523419832422801121396051825774160432751009003788466967355351712253689301778494547817713130114375181534154651292156675590782113473348908433111023373240551540593480159717011782401<178>
factorization results 素因数分解の結果
Input number is 85581331340801415671617934883910345793138083615239989977223410974096585784828132113824069521873356370440696847309216701346881054118914569478332022969346676902107762547634739260411783721420212247450759017448152471 (212 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4101367252
Step 1 took 18302ms
Step 2 took 11576ms
********** Factor found in step 2: 18919608285610528329152837726802071
Found probable prime factor of 35 digits: 18919608285610528329152837726802071
Probable prime cofactor 4523419832422801121396051825774160432751009003788466967355351712253689301778494547817713130114375181534154651292156675590782113473348908433111023373240551540593480159717011782401 has 178 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:20:35 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 35 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:57 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 57 秒 (日本時間)

10233-613

c185

composite cofactor 合成数の残り
32031618905158426826658398294498760532140041217084821152856855615875133882500097146786032945136641902029022859482432291982329422025091996980181445986940875027043492026434266074957475183<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:36 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 36 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:57 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 57 秒 (日本時間)
4511e61522 / 4342498CypFebruary 5, 2015 04:40:43 UTC 2015 年 2 月 5 日 (木) 13 時 40 分 43 秒 (日本時間)
512Youcef LemsaferNovember 28, 2016 09:34:34 UTC 2016 年 11 月 28 日 (月) 18 時 34 分 34 秒 (日本時間)
512Youcef LemsaferDecember 7, 2016 09:05:52 UTC 2016 年 12 月 7 日 (水) 18 時 5 分 52 秒 (日本時間)

10234-613

c180

name 名前Serge Batalov
date 日付December 20, 2014 21:46:32 UTC 2014 年 12 月 21 日 (日) 6 時 46 分 32 秒 (日本時間)
composite number 合成数
259978043223893616541394682287588291126983915664728733444951268323646212692252261229959171349593807962509013349331508419804338441651545844949979226990901011975135973451737889781759<180>
prime factors 素因数
253886046765970594861921590777301<33>
2961851027658406236792070199928585119<37>
345728057709156413886687232296258689043319905471121975988030598625969856514093667042480127776416069321944495261<111>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2023200705
Step 1 took 13616ms
Step 2 took 9156ms
********** Factor found in step 2: 253886046765970594861921590777301
Found probable prime factor of 33 digits: 253886046765970594861921590777301

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3795375699
Step 1 took 13716ms
Step 2 took 9158ms
********** Factor found in step 2: 2961851027658406236792070199928585119
Found probable prime factor of 37 digits: 2961851027658406236792070199928585119

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:20:36 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 36 秒 (日本時間)

10235-613

c223

composite cofactor 合成数の残り
4604491775403357259041829329668311581731317339524029810413845106250452187830052787978208091238696116915002831528784635675983244936330595762939459389417243225516749770384567188863193984934662845627953104158648925831114015207<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:37 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 37 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:57 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 57 秒 (日本時間)
4511e61522 / 4342498CypFebruary 2, 2015 18:15:04 UTC 2015 年 2 月 3 日 (火) 3 時 15 分 4 秒 (日本時間)
512Youcef LemsaferNovember 28, 2016 09:34:58 UTC 2016 年 11 月 28 日 (月) 18 時 34 分 58 秒 (日本時間)
512Youcef LemsaferDecember 7, 2016 11:09:13 UTC 2016 年 12 月 7 日 (水) 20 時 9 分 13 秒 (日本時間)

10236-613

c227

name 名前Serge Batalov
date 日付December 21, 2014 01:53:32 UTC 2014 年 12 月 21 日 (日) 10 時 53 分 32 秒 (日本時間)
composite number 合成数
18373094485559666480939852557103655287443644912351943718355214396318437836989595763610216394538529242763524914342653807390015811795086109669731131080505365875932463092337710012239492277568921105642167844865143710539079525027529<227>
prime factors 素因数
24916297779724669802533609541<29>
composite cofactor 合成数の残り
737392635454475329395015575375358081753930944890892935217400322389296800519968940728189565605072919956364327547186883916117425774138652429112015832707962690204856089576418481131940254896885805721269<198>
factorization results 素因数分解の結果
Input number is 18373094485559666480939852557103655287443644912351943718355214396318437836989595763610216394538529242763524914342653807390015811795086109669731131080505365875932463092337710012239492277568921105642167844865143710539079525027529 (227 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4154569889
Step 1 took 20673ms
Step 2 took 13737ms
********** Factor found in step 2: 24916297779724669802533609541
Found probable prime factor of 29 digits: 24916297779724669802533609541
Composite cofactor 737392635454475329395015575375358081753930944890892935217400322389296800519968940728189565605072919956364327547186883916117425774138652429112015832707962690204856089576418481131940254896885805721269 has 198 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:20:37 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 37 秒 (日本時間)
4511e61609 / 4409585CypJune 27, 2015 22:43:22 UTC 2015 年 6 月 28 日 (日) 7 時 43 分 22 秒 (日本時間)
512Youcef LemsaferNovember 28, 2016 09:35:28 UTC 2016 年 11 月 28 日 (月) 18 時 35 分 28 秒 (日本時間)
512Youcef LemsaferDecember 7, 2016 15:02:01 UTC 2016 年 12 月 8 日 (木) 0 時 2 分 1 秒 (日本時間)

10237-613

c237

composite cofactor 合成数の残り
333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333313<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:49 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 49 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:03:03 UTC 2014 年 12 月 20 日 (土) 10 時 3 分 3 秒 (日本時間)
4511e630002000Serge BatalovDecember 20, 2014 04:02:02 UTC 2014 年 12 月 20 日 (土) 13 時 2 分 2 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:24:53 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 53 秒 (日本時間)
5043e63012 / 67862000Serge BatalovDecember 21, 2014 12:18:39 UTC 2014 年 12 月 21 日 (日) 21 時 18 分 39 秒 (日本時間)
500Serge BatalovJanuary 11, 2015 01:24:43 UTC 2015 年 1 月 11 日 (日) 10 時 24 分 43 秒 (日本時間)
256Youcef LemsaferNovember 29, 2016 09:01:59 UTC 2016 年 11 月 29 日 (火) 18 時 1 分 59 秒 (日本時間)
256Youcef LemsaferDecember 8, 2016 09:32:00 UTC 2016 年 12 月 8 日 (木) 18 時 32 分 0 秒 (日本時間)

10238-613

c230

name 名前Serge Batalov
date 日付December 21, 2014 01:53:37 UTC 2014 年 12 月 21 日 (日) 10 時 53 分 37 秒 (日本時間)
composite number 合成数
61514310452353540286051016807253624775341280010317672263552354605098764947047035976318442213570562533421109333204005647038305250235939675597763312605655826239641459166440863011573689908661644896721440423522582663068793071205231861<230>
prime factors 素因数
13368295638082917260375044880795009<35>
composite cofactor 合成数の残り
4601507336291600039503109543704818285284852898841389162672831228996687225215094521098585813750411030129325694816752649289897014477854844013429203928248568647675928619017859770801157819634858797429<196>
factorization results 素因数分解の結果
Input number is 61514310452353540286051016807253624775341280010317672263552354605098764947047035976318442213570562533421109333204005647038305250235939675597763312605655826239641459166440863011573689908661644896721440423522582663068793071205231861 (230 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1443926743
Step 1 took 18488ms
********** Factor found in step 1: 13368295638082917260375044880795009
Found probable prime factor of 35 digits: 13368295638082917260375044880795009
Composite cofactor 4601507336291600039503109543704818285284852898841389162672831228996687225215094521098585813750411030129325694816752649289897014477854844013429203928248568647675928619017859770801157819634858797429 has 196 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:20:38 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 38 秒 (日本時間)
4511e61609 / 4409585CypMay 22, 2015 17:27:24 UTC 2015 年 5 月 23 日 (土) 2 時 27 分 24 秒 (日本時間)
512Youcef LemsaferNovember 29, 2016 09:04:21 UTC 2016 年 11 月 29 日 (火) 18 時 4 分 21 秒 (日本時間)
512Youcef LemsaferDecember 8, 2016 09:41:05 UTC 2016 年 12 月 8 日 (木) 18 時 41 分 5 秒 (日本時間)

10239-613

c222

composite cofactor 合成数の残り
318185758539137453608768042523341433756404311354033857981228782364394063031822046885606208333612114169266973391915582631440220440895967935572387764839290959080662816005869770488366844190592386074053120599006991123223240813<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:38 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 38 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:58 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 58 秒 (日本時間)
4511e61522 / 4342498CypJanuary 30, 2015 03:48:15 UTC 2015 年 1 月 30 日 (金) 12 時 48 分 15 秒 (日本時間)
512Youcef LemsaferNovember 29, 2016 09:05:11 UTC 2016 年 11 月 29 日 (火) 18 時 5 分 11 秒 (日本時間)
512Youcef LemsaferDecember 8, 2016 09:50:20 UTC 2016 年 12 月 8 日 (木) 18 時 50 分 20 秒 (日本時間)

10241-613

c237

composite cofactor 合成数の残り
465744492571375343486563271389315821340412649620418238554329095058450933817707605607563690559359135578221787527362488938568301429835592194122304503749243165199571515066834334683992361790321829444366820362349215220530017232546225140887709<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:52 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 52 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:03:06 UTC 2014 年 12 月 20 日 (土) 10 時 3 分 6 秒 (日本時間)
4511e62024 / 39161000Serge BatalovDecember 21, 2014 10:24:56 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 56 秒 (日本時間)
512Youcef LemsaferNovember 29, 2016 09:05:32 UTC 2016 年 11 月 29 日 (火) 18 時 5 分 32 秒 (日本時間)
512Youcef LemsaferDecember 8, 2016 14:27:27 UTC 2016 年 12 月 8 日 (木) 23 時 27 分 27 秒 (日本時間)

10242-613

c196

composite cofactor 合成数の残り
5713947518212025942845197183716042561026556681879419672763744997714489543882981027736864386614830148688318598175677660815903664909592814061849491666715391298822401106474438617753361054865289338537<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62320300Serge BatalovDecember 20, 2014 21:20:38 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 38 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:58 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 58 秒 (日本時間)
720Dmitry DomanovNovember 22, 2016 09:39:02 UTC 2016 年 11 月 22 日 (火) 18 時 39 分 2 秒 (日本時間)
1000Youcef LemsaferNovember 29, 2016 13:18:17 UTC 2016 年 11 月 29 日 (火) 22 時 18 分 17 秒 (日本時間)
4511e6384 / 3962Youcef LemsaferDecember 8, 2016 18:01:51 UTC 2016 年 12 月 9 日 (金) 3 時 1 分 51 秒 (日本時間)

10243-613

c228

composite cofactor 合成数の残り
173669625768372701547042138785855793972171991073693188549057501926082964946010338684306681018876234490764924114515986967780696955173448687081192495819173265158155707850985262568846906990303232129372715448321461458996651243960987<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61600300Serge BatalovDecember 20, 2014 21:20:39 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 39 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:59 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 59 秒 (日本時間)
1000Youcef LemsaferNovember 29, 2016 16:24:58 UTC 2016 年 11 月 30 日 (水) 1 時 24 分 58 秒 (日本時間)
4511e6384 / 4121Youcef LemsaferDecember 9, 2016 08:47:40 UTC 2016 年 12 月 9 日 (金) 17 時 47 分 40 秒 (日本時間)

10244-613

c240

name 名前Serge Batalov
date 日付December 19, 2014 18:15:37 UTC 2014 年 12 月 20 日 (土) 3 時 15 分 37 秒 (日本時間)
composite number 合成数
465614378171997951296736043209014294361409880337104809796526516738836895283326349117660753364063882292685198118917912185128276761186385435582250779904083438096568422032872375098943055361549564650556409181915537551799599571634772081761884807<240>
prime factors 素因数
301092082615442510698445458000277<33>
46238792272057881385079655912097907<35>
33444180998567277957902570619198462489709990567462635512443685437556963602765177512722283610281780632090716847631973234624114668324354205726874864347644031002801672936750313<173>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=270505024
Step 1 took 6954ms
Step 2 took 3946ms
********** Factor found in step 2: 301092082615442510698445458000277
Found probable prime factor of 33 digits: 301092082615442510698445458000277
Composite cofactor

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=898671188
Step 1 took 6952ms
Step 2 took 3946ms
********** Factor found in step 2: 46238792272057881385079655912097907
Found probable prime factor of 35 digits: 46238792272057881385079655912097907
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:55 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 55 秒 (日本時間)

10245-613

c195

composite cofactor 合成数の残り
464250091524419566432639101237630354397113117436531825309524168875377796828119369565401170461800454235834724840506942055794311510276229572586200458340179410216425584488334768664082730976452012939<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62320300Serge BatalovDecember 20, 2014 21:20:39 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 39 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:59 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 59 秒 (日本時間)
720Dmitry DomanovNovember 22, 2016 09:39:20 UTC 2016 年 11 月 22 日 (火) 18 時 39 分 20 秒 (日本時間)
1000Youcef LemsaferNovember 29, 2016 17:44:57 UTC 2016 年 11 月 30 日 (水) 2 時 44 分 57 秒 (日本時間)
4511e6384 / 3962Youcef LemsaferDecember 9, 2016 08:48:31 UTC 2016 年 12 月 9 日 (金) 17 時 48 分 31 秒 (日本時間)

10246-613

c216

name 名前Serge Batalov
date 日付December 20, 2014 21:57:43 UTC 2014 年 12 月 21 日 (日) 6 時 57 分 43 秒 (日本時間)
composite number 合成数
117803261124213836982734808476903623387937891330534085334342445059168947716564387904409070411687143158889907336783505150453502118247535973866564634266980405677584342488947280955672055378712963664444413583568732875693<216>
prime factors 素因数
29911329413296603310067697986287<32>
105488775201600425164523519602409426213<39>
composite cofactor 合成数の残り
37334930521931425708315313895736187467525913778244233935937055575044010899642721597095535946994386105699452289012449991094706141801884221122523303<146>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=396366411
Step 1 took 20122ms
Step 2 took 1015ms
********** Factor found in step 2: 29911329413296603310067697986287
Found probable prime factor of 32 digits: 29911329413296603310067697986287

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1534669867
Step 1 took 18079ms
Step 2 took 11225ms
********** Factor found in step 2: 105488775201600425164523519602409426213
Found probable prime factor of 39 digits: 105488775201600425164523519602409426213

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:20:40 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 40 秒 (日本時間)
4511e644162000Serge BatalovDecember 22, 2014 02:48:53 UTC 2014 年 12 月 22 日 (月) 11 時 48 分 53 秒 (日本時間)
2416Ignacio SantosFebruary 25, 2016 23:14:45 UTC 2016 年 2 月 26 日 (金) 8 時 14 分 45 秒 (日本時間)
5043e6256 / 6550128Youcef LemsaferNovember 30, 2016 09:23:40 UTC 2016 年 11 月 30 日 (水) 18 時 23 分 40 秒 (日本時間)
128Youcef LemsaferDecember 9, 2016 08:49:43 UTC 2016 年 12 月 9 日 (金) 17 時 49 分 43 秒 (日本時間)

10248-613

c189

composite cofactor 合成数の残り
781364817398733225731009968721154102540553171398721764414020818084537309161164498959144034414959124384714284857688805275794595459157208089093681172057253579695158736417900044926728555216277<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:40 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 40 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:05:59 UTC 2014 年 12 月 21 日 (日) 8 時 5 分 59 秒 (日本時間)
4511e61522 / 4342498CypJune 9, 2015 03:18:10 UTC 2015 年 6 月 9 日 (火) 12 時 18 分 10 秒 (日本時間)
512Youcef LemsaferNovember 30, 2016 09:24:08 UTC 2016 年 11 月 30 日 (水) 18 時 24 分 8 秒 (日本時間)
512Youcef LemsaferDecember 9, 2016 08:50:26 UTC 2016 年 12 月 9 日 (金) 17 時 50 分 26 秒 (日本時間)

10249-613

c222

composite cofactor 合成数の残り
288438555845255577089266578814833296813248849344469636704334706511727896659711909992152442248596551811660977681083886119570247192071227011093779261523835163098559680768435868684320399372766956049142869559931377986006178553<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61600300Serge BatalovDecember 20, 2014 21:20:41 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 41 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:00 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 0 秒 (日本時間)
1000Youcef LemsaferNovember 30, 2016 09:24:52 UTC 2016 年 11 月 30 日 (水) 18 時 24 分 52 秒 (日本時間)
4511e6626 / 4121242CypJanuary 1, 2015 17:57:44 UTC 2015 年 1 月 2 日 (金) 2 時 57 分 44 秒 (日本時間)
384Youcef LemsaferDecember 9, 2016 10:40:48 UTC 2016 年 12 月 9 日 (金) 19 時 40 分 48 秒 (日本時間)

10250-613

c184

composite cofactor 合成数の残り
1156027545870588740507915645430902215513733038542568365907597279562535647958097862269955781704614997099711233082346520974629825480573284460719789395253195753638132855529204728173802899<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:41 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 41 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:00 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 0 秒 (日本時間)
4511e61624 / 2448600Dmitry DomanovApril 21, 2015 11:03:49 UTC 2015 年 4 月 21 日 (火) 20 時 3 分 49 秒 (日本時間)
512Youcef LemsaferNovember 30, 2016 09:25:46 UTC 2016 年 11 月 30 日 (水) 18 時 25 分 46 秒 (日本時間)
512Youcef LemsaferDecember 9, 2016 14:24:28 UTC 2016 年 12 月 9 日 (金) 23 時 24 分 28 秒 (日本時間)
5043e6540 / 7166240Dmitry DomanovJune 21, 2015 16:55:23 UTC 2015 年 6 月 22 日 (月) 1 時 55 分 23 秒 (日本時間)
300Dmitry DomanovJune 25, 2015 23:38:31 UTC 2015 年 6 月 26 日 (金) 8 時 38 分 31 秒 (日本時間)

10251-613

c189

composite cofactor 合成数の残り
233245431836650635344439511460620426355776634673940802331305917896713175786599872706399641035277849328873396150267375980614573734107183651772454612728563685583237332349171454570646711596531<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61800800Dmitry DomanovNovember 18, 2016 11:27:05 UTC 2016 年 11 月 18 日 (金) 20 時 27 分 5 秒 (日本時間)
1000Youcef LemsaferNovember 30, 2016 09:26:22 UTC 2016 年 11 月 30 日 (水) 18 時 26 分 22 秒 (日本時間)
4511e6384 / 4041Youcef LemsaferDecember 10, 2016 10:50:22 UTC 2016 年 12 月 10 日 (土) 19 時 50 分 22 秒 (日本時間)

10252-613

c203

composite cofactor 合成数の残り
72901311738541086009416906680330286306148646519394380788331269344529758058878189628313293684876937378270385404285469959512774593067577933040124999564644412318615609499622304113959323726235273451820975227<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Youcef LemsaferNovember 30, 2016 10:29:16 UTC 2016 年 11 月 30 日 (水) 19 時 29 分 16 秒 (日本時間)
4511e6384 / 4218Youcef LemsaferDecember 10, 2016 10:51:22 UTC 2016 年 12 月 10 日 (土) 19 時 51 分 22 秒 (日本時間)

10253-613

c217

composite cofactor 合成数の残り
1322695262680163784292313690539165659350842502170382779641954273453091580007180138345758084829719449734207807523487722119667701348219285745816795637489215727536342352038974225175937738578454716243410215597658126403181<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Youcef LemsaferNovember 30, 2016 13:09:23 UTC 2016 年 11 月 30 日 (水) 22 時 9 分 23 秒 (日本時間)
4511e6384 / 4218Youcef LemsaferDecember 10, 2016 10:52:18 UTC 2016 年 12 月 10 日 (土) 19 時 52 分 18 秒 (日本時間)

10254-613

c223

composite cofactor 合成数の残り
2023947072967396005742473497087992483568029706400612175063146286919294216545142696123972668108558765076357136202927541459281163160113615216760044450164217634645442285549997369585022979025044626722390958121647866249710964951<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Youcef LemsaferNovember 30, 2016 16:24:18 UTC 2016 年 12 月 1 日 (木) 1 時 24 分 18 秒 (日本時間)
4511e6384 / 4218Youcef LemsaferDecember 10, 2016 10:52:51 UTC 2016 年 12 月 10 日 (土) 19 時 52 分 51 秒 (日本時間)

10255-613

c234

composite cofactor 合成数の残り
411258174593082532650437668970679943427062963392261648585903046128424475878099045878741145957604701826579435260061920013091770685983408675268790180636888926236472745825741490655400891216216247201778493417254352951057197114992427604271<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Youcef LemsaferDecember 1, 2016 09:28:58 UTC 2016 年 12 月 1 日 (木) 18 時 28 分 58 秒 (日本時間)
4511e6384 / 4218Youcef LemsaferDecember 10, 2016 10:53:21 UTC 2016 年 12 月 10 日 (土) 19 時 53 分 21 秒 (日本時間)

10256-613

c192

composite cofactor 合成数の残り
187688261935731686780001560075708609645240298383408130226532742641648655108587935342298706675826870070432323859778619328167525834436935690573176884469937385336536202009719195798916354156927593<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61800800Dmitry DomanovNovember 18, 2016 11:27:26 UTC 2016 年 11 月 18 日 (金) 20 時 27 分 26 秒 (日本時間)
1000Youcef LemsaferDecember 1, 2016 09:29:31 UTC 2016 年 12 月 1 日 (木) 18 時 29 分 31 秒 (日本時間)
4511e6384 / 4041Youcef LemsaferDecember 10, 2016 10:57:09 UTC 2016 年 12 月 10 日 (土) 19 時 57 分 9 秒 (日本時間)

10259-613

c250

name 名前Youcef Lemsafer
date 日付December 11, 2016 00:24:24 UTC 2016 年 12 月 11 日 (日) 9 時 24 分 24 秒 (日本時間)
composite number 合成数
7806159806512338934128876565012972381749619592757310977815572185179118671459108601606632118367555159326332811372116022943836801125763150771431135930494377737907608401754499676009630618598954325394749051247338430292001093383824386802475018842528056359<250>
prime factors 素因数
1861632772195789487860858621822628533976071<43>
composite cofactor 合成数の残り
4193179193609167150664733564553602513147299625322586742541070823860693709783489285846055592780325944811327669416247454806168521870395019425209247891319753325025398778426655272437582347790351908340624405999329<208>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is (10^259-61)/(3*427013207) (250 digits)
[Sat Dec 10 15:50:51 2016]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=11000000, B2=11000000-35133391030, polynomial Dickson(12), sigma=748699580
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits:
35  40      45      50      55      60      65      70      75      80
122     686     4482    33676   284176  2657998 2.7e+007        3e+008  3.7e+009        4.4e+010
Step 1 took 57484ms
Using 30 small primes for NTT
Estimated memory usage: 158M
Initializing tables of differences for F took 62ms
Computing roots of F took 1485ms
Building F from its roots took 1703ms
Computing 1/F took 750ms
Initializing table of differences for G took 62ms
Computing roots of G took 1266ms
Building G from its roots took 1640ms
Computing roots of G took 1297ms
Building G from its roots took 1594ms
Computing G * H took 438ms
Reducing  G * H mod F took 406ms
Computing roots of G took 1297ms
Building G from its roots took 1594ms
Computing G * H took 422ms
Reducing  G * H mod F took 421ms
Computing polyeval(F,G) took 2860ms
Computing product of all F(g_i) took 15ms
Step 2 took 17484ms
********** Factor found in step 2: 1861632772195789487860858621822628533976071
Found probable prime factor of 43 digits: 1861632772195789487860858621822628533976071
Composite cofactor ((10^259-61)/(3*427013207))/1861632772195789487860858621822628533976071 has 208 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Youcef LemsaferDecember 1, 2016 09:29:56 UTC 2016 年 12 月 1 日 (木) 18 時 29 分 56 秒 (日本時間)
4511e6384 / 4218Youcef LemsaferDecember 11, 2016 00:23:28 UTC 2016 年 12 月 11 日 (日) 9 時 23 分 28 秒 (日本時間)

10260-613

c249

composite cofactor 合成数の残り
322624330578138620249360405718192862159032840079529713481718188116600324526899811196779663981845424540394687199775136930153404052318237143143996288810848775732325770587995249868375710286075303249081479830472404482196829350293563716067223230575464061<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Youcef LemsaferDecember 1, 2016 09:30:23 UTC 2016 年 12 月 1 日 (木) 18 時 30 分 23 秒 (日本時間)
4511e6384 / 4218Youcef LemsaferDecember 11, 2016 00:26:55 UTC 2016 年 12 月 11 日 (日) 9 時 26 分 55 秒 (日本時間)

10262-613

c219

composite cofactor 合成数の残り
182414523079349435672425128525504309097240961501335742934833975442853904021283264949155469582871317268349696532045235091506657208377915381339221967503131259715202006831885985093417460875691122290651765092513630000502919<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Youcef LemsaferDecember 1, 2016 09:31:23 UTC 2016 年 12 月 1 日 (木) 18 時 31 分 23 秒 (日本時間)
4511e6384 / 4218Youcef LemsaferDecember 11, 2016 00:27:53 UTC 2016 年 12 月 11 日 (日) 9 時 27 分 53 秒 (日本時間)

10264-613

c163

composite cofactor 合成数の残り
9902878873601044591729072867315774074810258730976908202063828076313900230850328336667138945007185847792656423394161060312450684615534192588945232908500595807586547<163>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovNovember 12, 2016 21:29:43 UTC 2016 年 11 月 13 日 (日) 6 時 29 分 43 秒 (日本時間)
4511e61600Dmitry DomanovNovember 13, 2016 09:49:43 UTC 2016 年 11 月 13 日 (日) 18 時 49 分 43 秒 (日本時間)
5043e61312 / 7144800Dmitry DomanovNovember 20, 2016 00:07:06 UTC 2016 年 11 月 20 日 (日) 9 時 7 分 6 秒 (日本時間)
512Youcef LemsaferDecember 11, 2016 18:24:16 UTC 2016 年 12 月 12 日 (月) 3 時 24 分 16 秒 (日本時間)

10265-613

c199

name 名前Youcef Lemsafer
date 日付December 3, 2016 15:09:00 UTC 2016 年 12 月 4 日 (日) 0 時 9 分 0 秒 (日本時間)
composite number 合成数
8632990199172188261636634769168415691231442705618936168168684385756563927617246226354753304247741370620325993640386137265703847164950188388599499666513209626673706998385885102699062367189488811962841<199>
prime factors 素因数
107556861190154347798028192341423207<36>
141486189893745009221988822421368744481313<42>
1159247959198414319481496530975639755932811497<46>
489364810306345727103863069906996074087507229886321129817370995417521064878983<78>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is (10^265-61)/(3*911*36479*49871*6439510249*642742565414638097609*56288311174770470788327) (199 digits)
[Thu Dec 01 08:38:58 2016]
Using MODMULN [mulredc:0, sqrredc:2]
Using B1=3000000, B2=3000000-5706890290, polynomial Dickson(6), sigma=3974795058
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
35        40        45        50        55        60        65        70        75        80
324        2351        20272        201449        2247436        2.8e+007        3.9e+008        6e+009        1.1e+011        7.4e+015
Step 1 took 13688ms
Using 24 small primes for NTT
Estimated memory usage: 66M
Initializing tables of differences for F took 0ms
Computing roots of F took 391ms
Building F from its roots took 859ms
Computing 1/F took 375ms
Initializing table of differences for G took 16ms
Computing roots of G took 297ms
Building G from its roots took 640ms
Computing roots of G took 453ms
Building G from its roots took 797ms
Computing G * H took 172ms
Reducing  G * H mod F took 218ms
Computing polyeval(F,G) took 1235ms
Computing product of all F(g_i) took 0ms
Step 2 took 5531ms
********** Factor found in step 2: 107556861190154347798028192341423207
Found probable prime factor of 36 digits: 107556861190154347798028192341423207
Composite cofactor ((10^265-61)/(3*911*36479*49871*6439510249*642742565414638097609*56288311174770470788327))/107556861190154347798028192341423207 has 164 digits
[Thu Dec 01 09:37:21 2016]
Using MODMULN [mulredc:0, sqrredc:2]
Using B1=3000000, B2=3000000-5706890290, polynomial Dickson(6), sigma=375140943
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
35        40        45        50        55        60        65        70        75        80
324        2351        20272        201449        2247436        2.8e+007        3.9e+008        6e+009        1.1e+011        7.4e+015
Step 1 took 10500ms
Using 20 small primes for NTT
Estimated memory usage: 55M
Initializing tables of differences for F took 15ms
Computing roots of F took 250ms
Building F from its roots took 390ms
Computing 1/F took 188ms
Initializing table of differences for G took 16ms
Computing roots of G took 234ms
Building G from its roots took 531ms
Computing roots of G took 391ms
Building G from its roots took 578ms
Computing G * H took 109ms
Reducing  G * H mod F took 125ms
Computing polyeval(F,G) took 688ms
Computing product of all F(g_i) took 15ms
Step 2 took 3562ms
********** Factor found in step 2: 141486189893745009221988822421368744481313
Found probable prime factor of 42 digits: 141486189893745009221988822421368744481313
Composite cofactor (((10^265-61)/(3*911*36479*49871*6439510249*642742565414638097609*56288311174770470788327))/107556861190154347798028192341423207)/141486189893745009221988822421368744481313 has 123 digits


<GNFS on Intel Core i7_5820K @3.3GHz running Debian 64-bit:>

Sat Dec 03 10:31:40 2016 -> factmsieve.py (v0.76)
Sat Dec 03 10:31:40 2016 -> This is client 1 of 1
Sat Dec 03 10:31:40 2016 -> Running on 6 Cores with 1 hyper-thread per Core
Sat Dec 03 10:31:40 2016 -> Working with NAME = 33313_265
Sat Dec 03 10:31:40 2016 -> Running polynomial selection ...
Sat Dec  3 10:31:40 2016  
Sat Dec  3 10:31:40 2016  
Sat Dec  3 10:31:40 2016  Msieve v. 1.53 (SVN 991)
Sat Dec  3 10:31:40 2016  random seeds: 37895cdf 05fa9af3
Sat Dec  3 10:31:40 2016  factoring 567295157651150434708649472171089820662028322192467108958507378343417887169040408572922908939641733714658043327963256067551 (123 digits)
Sat Dec  3 10:31:41 2016  no P-1/P+1/ECM available, skipping
Sat Dec  3 10:31:41 2016  commencing number field sieve (123-digit input)
Sat Dec  3 10:31:41 2016  commencing number field sieve polynomial selection
Sat Dec  3 10:31:41 2016  polynomial degree: 5
Sat Dec  3 10:31:41 2016  max stage 1 norm: 3.26e+18
Sat Dec  3 10:31:41 2016  max stage 2 norm: 9.26e+16
Sat Dec  3 10:31:41 2016  min E-value: 1.50e-10
Sat Dec  3 10:31:41 2016  poly select deadline: 21253
Sat Dec  3 10:31:41 2016  time limit set to 5.90 CPU-hours
Sat Dec  3 10:31:41 2016  expecting poly E from 1.99e-10 to > 2.29e-10
Sat Dec  3 10:31:41 2016  searching leading coefficients from 1 to 457687
Sat Dec  3 11:38:09 2016  polynomial selection complete
Sat Dec  3 11:38:09 2016  R0: -852486852616086498269284
Sat Dec  3 11:38:09 2016  R1: 256436846521
Sat Dec  3 11:38:09 2016  A0: 25838072420137856295606327036555
Sat Dec  3 11:38:09 2016  A1: -45639098587351920145110993
Sat Dec  3 11:38:09 2016  A2: -459844309796807466373
Sat Dec  3 11:38:09 2016  A3: -43670103476695
Sat Dec  3 11:38:09 2016  A4: 791838046
Sat Dec  3 11:38:09 2016  A5: 1260
Sat Dec  3 11:38:09 2016  skew 530902.19, size 7.606e-12, alpha -6.811, combined = 1.904e-10 rroots = 3
Sat Dec  3 11:38:09 2016  elapsed time 01:06:29
<...snipped...>
Sat Dec 03 11:38:23 2016 -> Selected lattice siever: gnfs-lasieve4I13e
Sat Dec 03 11:38:23 2016 -> Creating param file to detect parameter changes...
Sat Dec 03 11:38:23 2016 -> Running setup ...
Sat Dec 03 11:38:23 2016 -> Estimated minimum relations needed: 9.3e+06
Sat Dec 03 11:38:23 2016 -> cleaning up before a restart
Sat Dec 03 11:38:23 2016 -> Running lattice siever ...
Sat Dec 03 11:38:23 2016 -> entering sieving loop
<...snipped...>
Sat Dec 03 11:38:23 2016 -> Lattice sieving algebraic q from 2450000 to 2550000.
<...snipped...>
Sat Dec 03 15:27:27 2016 Found 10737919 relations, 115.5% of the estimated minimum (9300000).
Sat Dec  3 15:27:27 2016  
Sat Dec  3 15:27:27 2016  
Sat Dec  3 15:27:27 2016  Msieve v. 1.53 (SVN 991)
Sat Dec  3 15:27:27 2016  random seeds: 4b31be10 32ae946f
Sat Dec  3 15:27:27 2016  factoring 567295157651150434708649472171089820662028322192467108958507378343417887169040408572922908939641733714658043327963256067551 (123 digits)
Sat Dec  3 15:27:27 2016  no P-1/P+1/ECM available, skipping
Sat Dec  3 15:27:27 2016  commencing number field sieve (123-digit input)
Sat Dec  3 15:27:27 2016  R0: -852486852616086498269284
Sat Dec  3 15:27:27 2016  R1: 256436846521
Sat Dec  3 15:27:27 2016  A0: 25838072420137856295606327036555
Sat Dec  3 15:27:27 2016  A1: -45639098587351920145110993
Sat Dec  3 15:27:27 2016  A2: -459844309796807466373
Sat Dec  3 15:27:27 2016  A3: -43670103476695
Sat Dec  3 15:27:27 2016  A4: 791838046
Sat Dec  3 15:27:27 2016  A5: 1260
Sat Dec  3 15:27:27 2016  skew 530902.19, size 7.606e-12, alpha -6.811, combined = 1.904e-10 rroots = 3
Sat Dec  3 15:27:27 2016  
Sat Dec  3 15:27:27 2016  commencing relation filtering
Sat Dec  3 15:27:27 2016  estimated available RAM is 64456.1 MB
Sat Dec  3 15:27:27 2016  commencing duplicate removal, pass 1
Sat Dec  3 15:28:37 2016  found 1146074 hash collisions in 10737918 relations
Sat Dec  3 15:28:48 2016  added 105 free relations
Sat Dec  3 15:28:48 2016  commencing duplicate removal, pass 2
Sat Dec  3 15:28:50 2016  found 885439 duplicates and 9852584 unique relations
Sat Dec  3 15:28:50 2016  memory use: 49.3 MB
Sat Dec  3 15:28:50 2016  reading ideals above 100000
Sat Dec  3 15:28:50 2016  commencing singleton removal, initial pass
Sat Dec  3 15:30:04 2016  memory use: 344.5 MB
Sat Dec  3 15:30:04 2016  reading all ideals from disk
Sat Dec  3 15:30:04 2016  memory use: 352.1 MB
Sat Dec  3 15:30:05 2016  keeping 10800863 ideals with weight <= 200, target excess is 51721
Sat Dec  3 15:30:05 2016  commencing in-memory singleton removal
Sat Dec  3 15:30:06 2016  begin with 9852584 relations and 10800863 unique ideals
Sat Dec  3 15:30:12 2016  reduce to 3666337 relations and 3538922 ideals in 20 passes
Sat Dec  3 15:30:12 2016  max relations containing the same ideal: 106
Sat Dec  3 15:30:13 2016  removing 386673 relations and 352964 ideals in 33709 cliques
Sat Dec  3 15:30:14 2016  commencing in-memory singleton removal
Sat Dec  3 15:30:14 2016  begin with 3279664 relations and 3538922 unique ideals
Sat Dec  3 15:30:16 2016  reduce to 3243743 relations and 3149543 ideals in 13 passes
Sat Dec  3 15:30:16 2016  max relations containing the same ideal: 94
Sat Dec  3 15:30:17 2016  removing 283716 relations and 250007 ideals in 33709 cliques
Sat Dec  3 15:30:17 2016  commencing in-memory singleton removal
Sat Dec  3 15:30:17 2016  begin with 2960027 relations and 3149543 unique ideals
Sat Dec  3 15:30:19 2016  reduce to 2938255 relations and 2877502 ideals in 9 passes
Sat Dec  3 15:30:19 2016  max relations containing the same ideal: 87
Sat Dec  3 15:30:20 2016  relations with 0 large ideals: 141
Sat Dec  3 15:30:20 2016  relations with 1 large ideals: 403
Sat Dec  3 15:30:20 2016  relations with 2 large ideals: 6885
Sat Dec  3 15:30:20 2016  relations with 3 large ideals: 56290
Sat Dec  3 15:30:20 2016  relations with 4 large ideals: 246145
Sat Dec  3 15:30:20 2016  relations with 5 large ideals: 605227
Sat Dec  3 15:30:20 2016  relations with 6 large ideals: 866358
Sat Dec  3 15:30:20 2016  relations with 7+ large ideals: 1156806
Sat Dec  3 15:30:20 2016  commencing 2-way merge
Sat Dec  3 15:30:22 2016  reduce to 1649214 relation sets and 1588463 unique ideals
Sat Dec  3 15:30:22 2016  ignored 2 oversize relation sets
Sat Dec  3 15:30:22 2016  commencing full merge
Sat Dec  3 15:30:39 2016  memory use: 183.2 MB
Sat Dec  3 15:30:39 2016  found 825808 cycles, need 818663
Sat Dec  3 15:30:39 2016  weight of 818663 cycles is about 57342216 (70.04/cycle)
Sat Dec  3 15:30:39 2016  distribution of cycle lengths:
Sat Dec  3 15:30:39 2016  1 relations: 106996
Sat Dec  3 15:30:39 2016  2 relations: 98770
Sat Dec  3 15:30:39 2016  3 relations: 96236
Sat Dec  3 15:30:39 2016  4 relations: 84466
Sat Dec  3 15:30:39 2016  5 relations: 73591
Sat Dec  3 15:30:39 2016  6 relations: 62301
Sat Dec  3 15:30:39 2016  7 relations: 53983
Sat Dec  3 15:30:39 2016  8 relations: 45202
Sat Dec  3 15:30:39 2016  9 relations: 37789
Sat Dec  3 15:30:39 2016  10+ relations: 159329
Sat Dec  3 15:30:39 2016  heaviest cycle: 23 relations
Sat Dec  3 15:30:39 2016  commencing cycle optimization
Sat Dec  3 15:30:40 2016  start with 4863858 relations
Sat Dec  3 15:30:45 2016  pruned 90920 relations
Sat Dec  3 15:30:45 2016  memory use: 167.3 MB
Sat Dec  3 15:30:45 2016  distribution of cycle lengths:
Sat Dec  3 15:30:45 2016  1 relations: 106996
Sat Dec  3 15:30:45 2016  2 relations: 100771
Sat Dec  3 15:30:45 2016  3 relations: 99102
Sat Dec  3 15:30:45 2016  4 relations: 85720
Sat Dec  3 15:30:45 2016  5 relations: 74915
Sat Dec  3 15:30:45 2016  6 relations: 62485
Sat Dec  3 15:30:45 2016  7 relations: 54073
Sat Dec  3 15:30:45 2016  8 relations: 45034
Sat Dec  3 15:30:45 2016  9 relations: 37272
Sat Dec  3 15:30:45 2016  10+ relations: 152295
Sat Dec  3 15:30:45 2016  heaviest cycle: 23 relations
Sat Dec  3 15:30:46 2016  RelProcTime: 199
Sat Dec  3 15:30:46 2016  elapsed time 00:03:19
Sat Dec 03 15:30:46 2016 LatSieveTime: 733.536
Sat Dec 03 15:30:46 2016 -> Running matrix solving step ...
Sat Dec  3 15:30:46 2016  
<...snipped...>
Sat Dec  3 15:30:47 2016  
Sat Dec  3 15:30:47 2016  commencing linear algebra
Sat Dec  3 15:30:47 2016  read 818663 cycles
Sat Dec  3 15:30:48 2016  cycles contain 2857826 unique relations
Sat Dec  3 15:31:01 2016  read 2857826 relations
Sat Dec  3 15:31:03 2016  using 20 quadratic characters above 4294917295
Sat Dec  3 15:31:15 2016  building initial matrix
Sat Dec  3 15:31:36 2016  memory use: 364.8 MB
Sat Dec  3 15:31:38 2016  read 818663 cycles
Sat Dec  3 15:31:38 2016  matrix is 818485 x 818663 (249.2 MB) with weight 78598286 (96.01/col)
Sat Dec  3 15:31:38 2016  sparse part has weight 55499262 (67.79/col)
Sat Dec  3 15:31:42 2016  filtering completed in 2 passes
Sat Dec  3 15:31:42 2016  matrix is 816902 x 817079 (249.0 MB) with weight 78533429 (96.11/col)
Sat Dec  3 15:31:42 2016  sparse part has weight 55481578 (67.90/col)
Sat Dec  3 15:31:47 2016  matrix starts at (0, 0)
Sat Dec  3 15:31:47 2016  matrix is 816902 x 817079 (249.0 MB) with weight 78533429 (96.11/col)
Sat Dec  3 15:31:47 2016  sparse part has weight 55481578 (67.90/col)
Sat Dec  3 15:31:47 2016  saving the first 48 matrix rows for later
Sat Dec  3 15:31:47 2016  matrix includes 64 packed rows
Sat Dec  3 15:31:47 2016  matrix is 816854 x 817079 (240.1 MB) with weight 62895430 (76.98/col)
Sat Dec  3 15:31:47 2016  sparse part has weight 54771351 (67.03/col)
Sat Dec  3 15:31:47 2016  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Sat Dec  3 15:31:49 2016  commencing Lanczos iteration (6 threads)
Sat Dec  3 15:31:49 2016  memory use: 186.6 MB
Sat Dec  3 15:31:52 2016  linear algebra at 0.4%, ETA 0h13m
Sat Dec  3 15:44:07 2016  lanczos halted after 12918 iterations (dim = 816853)
Sat Dec  3 15:44:07 2016  recovered 31 nontrivial dependencies
Sat Dec  3 15:44:07 2016  BLanczosTime: 800
Sat Dec  3 15:44:07 2016  elapsed time 00:13:21
Sat Dec 03 15:44:07 2016 -> Running square root step ...
<...snipped...>
Sat Dec  3 15:44:08 2016  
Sat Dec  3 15:44:08 2016  commencing square root phase
Sat Dec  3 15:44:08 2016  reading relations for dependency 1
Sat Dec  3 15:44:08 2016  read 408936 cycles
Sat Dec  3 15:44:08 2016  cycles contain 1429830 unique relations
Sat Dec  3 15:44:15 2016  read 1429830 relations
Sat Dec  3 15:44:18 2016  multiplying 1429830 relations
Sat Dec  3 15:44:51 2016  multiply complete, coefficients have about 59.52 million bits
Sat Dec  3 15:44:51 2016  initial square root is modulo 351026393
Sat Dec  3 15:45:33 2016  sqrtTime: 85
Sat Dec  3 15:45:33 2016  p46 factor: 1159247959198414319481496530975639755932811497
Sat Dec  3 15:45:33 2016  p78 factor: 489364810306345727103863069906996074087507229886321129817370995417521064878983
Sat Dec  3 15:45:33 2016  elapsed time 00:01:26

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61800 / 2104800Dmitry DomanovNovember 18, 2016 11:27:52 UTC 2016 年 11 月 18 日 (金) 20 時 27 分 52 秒 (日本時間)
1000Youcef LemsaferDecember 1, 2016 09:33:49 UTC 2016 年 12 月 1 日 (木) 18 時 33 分 49 秒 (日本時間)

10266-613

c218

composite cofactor 合成数の残り
57778152399376274784578991036732270718142893716853977933304402318544015442864734449162618374451685374220066772782425451211575623625454613280390987951591540640720689360855533154732675635899284981971754194909579116332897<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Youcef LemsaferDecember 1, 2016 13:13:03 UTC 2016 年 12 月 1 日 (木) 22 時 13 分 3 秒 (日本時間)
4511e6384 / 4218Youcef LemsaferDecember 11, 2016 18:25:57 UTC 2016 年 12 月 12 日 (月) 3 時 25 分 57 秒 (日本時間)

10268-613

c264

composite cofactor 合成数の残り
286196731633324747431384333590910391803325606021579233565152685956326378752754643541970750694027074210812512521107008957957700123064594602329641395495263444091468475430010589279070433015654961220342863684496723047422798431641910649380384076013851921811052917775679<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Youcef LemsaferDecember 1, 2016 15:15:06 UTC 2016 年 12 月 2 日 (金) 0 時 15 分 6 秒 (日本時間)
4511e6384 / 4218Youcef LemsaferDecember 12, 2016 09:41:26 UTC 2016 年 12 月 12 日 (月) 18 時 41 分 26 秒 (日本時間)

10269-613

c154

composite cofactor 合成数の残り
5796923146156735155922003177631032721473863983863680086986098324622878414635731121267021209954447703059978518693756717912183805784175022460502452842341007<154>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovNovember 12, 2016 19:23:32 UTC 2016 年 11 月 13 日 (日) 4 時 23 分 32 秒 (日本時間)
4511e642121000Dmitry DomanovNovember 12, 2016 20:33:04 UTC 2016 年 11 月 13 日 (日) 5 時 33 分 4 秒 (日本時間)
512Youcef LemsaferDecember 12, 2016 09:42:16 UTC 2016 年 12 月 12 日 (月) 18 時 42 分 16 秒 (日本時間)
2700Lionel DebrouxJanuary 3, 2018 15:41:35 UTC 2018 年 1 月 4 日 (木) 0 時 41 分 35 秒 (日本時間)

10270-613

c270

composite cofactor 合成数の残り
333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333313<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovNovember 13, 2016 00:37:16 UTC 2016 年 11 月 13 日 (日) 9 時 37 分 16 秒 (日本時間)
4511e62240640Serge BatalovNovember 15, 2016 05:53:55 UTC 2016 年 11 月 15 日 (火) 14 時 53 分 55 秒 (日本時間)
1600Dmitry DomanovNovember 29, 2016 14:03:02 UTC 2016 年 11 月 29 日 (火) 23 時 3 分 2 秒 (日本時間)
5043e671561600Dmitry DomanovNovember 30, 2016 13:28:30 UTC 2016 年 11 月 30 日 (水) 22 時 28 分 30 秒 (日本時間)
1600Dmitry DomanovDecember 6, 2016 14:39:41 UTC 2016 年 12 月 6 日 (火) 23 時 39 分 41 秒 (日本時間)
2000Dmitry DomanovDecember 8, 2016 14:36:56 UTC 2016 年 12 月 8 日 (木) 23 時 36 分 56 秒 (日本時間)
256Youcef LemsaferDecember 12, 2016 09:44:08 UTC 2016 年 12 月 12 日 (月) 18 時 44 分 8 秒 (日本時間)
1700Dmitry DomanovDecember 13, 2016 14:49:19 UTC 2016 年 12 月 13 日 (火) 23 時 49 分 19 秒 (日本時間)

10273-613

c256

composite cofactor 合成数の残り
2028416635704144324541571393426081137847660373578678485103104883949684227884633682645214938757331424570968820445667737035517053154783291937675048960685916983532016704989266846883873405127517863786819037690701691960693806664265220481885116565156768017043223<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Youcef LemsaferDecember 2, 2016 08:39:47 UTC 2016 年 12 月 2 日 (金) 17 時 39 分 47 秒 (日本時間)
4511e6384 / 4218Youcef LemsaferDecember 12, 2016 13:58:26 UTC 2016 年 12 月 12 日 (月) 22 時 58 分 26 秒 (日本時間)

10275-613

c232

name 名前Youcef Lemsafer
date 日付December 12, 2016 17:56:24 UTC 2016 年 12 月 13 日 (火) 2 時 56 分 24 秒 (日本時間)
composite number 合成数
2462244452311853466768550006183526172259487165099694540291176964401953535467530901531597376591017994549719907353389586551344534037808366101084610225047252137423545957210152820617400862121374679805807018559403705439054551945839566223<232>
prime factors 素因数
270529481775670701511384383383931071673042412373<48>
composite cofactor 合成数の残り
9101575311313402328167651765835742497593272046668540167276048214596116580244936194819834217191924528425200175800068635565632056534538745203628789178907311060792617348181391893989082451<184>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is (10^275-61)/(3*7*113089*762557651*22426241314040450793851789347) (232 digits)
[Mon Dec 12 15:57:50 2016]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=11000000, B2=11000000-35133391030, polynomial Dickson(12), sigma=2924863670
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits:
35  40      45      50      55      60      65      70      75      80
122     686     4482    33676   284176  2657998 2.7e+007        3e+008  3.7e+009        4.4e+010
Step 1 took 62703ms
Using 28 small primes for NTT
Estimated memory usage: 155M
Initializing tables of differences for F took 78ms
Computing roots of F took 1938ms
Building F from its roots took 1828ms
Computing 1/F took 610ms
Initializing table of differences for G took 78ms
Computing roots of G took 1578ms
Building G from its roots took 1390ms
Computing roots of G took 1391ms
Building G from its roots took 1297ms
Computing G * H took 328ms
Reducing  G * H mod F took 375ms
Computing roots of G took 1938ms
Building G from its roots took 1453ms
Computing G * H took 453ms
Reducing  G * H mod F took 437ms
Computing polyeval(F,G) took 2907ms
Computing product of all F(g_i) took 31ms
Step 2 took 18282ms
********** Factor found in step 2: 270529481775670701511384383383931071673042412373
Found probable prime factor of 48 digits: 270529481775670701511384383383931071673042412373
Composite cofactor ((10^275-61)/(3*7*113089*762557651*22426241314040450793851789347))/270529481775670701511384383383931071673042412373 has 184 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Youcef LemsaferDecember 2, 2016 08:40:30 UTC 2016 年 12 月 2 日 (金) 17 時 40 分 30 秒 (日本時間)
4511e62484384Youcef LemsaferDecember 12, 2016 17:55:22 UTC 2016 年 12 月 13 日 (火) 2 時 55 分 22 秒 (日本時間)
2100Dmitry DomanovDecember 14, 2016 11:55:29 UTC 2016 年 12 月 14 日 (水) 20 時 55 分 29 秒 (日本時間)
5043e6500 / 6953Dmitry DomanovDecember 14, 2016 14:31:44 UTC 2016 年 12 月 14 日 (水) 23 時 31 分 44 秒 (日本時間)

10276-613

c276

name 名前Serge Batalov
date 日付November 15, 2016 09:24:50 UTC 2016 年 11 月 15 日 (火) 18 時 24 分 50 秒 (日本時間)
composite number 合成数
333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333313<276>
prime factors 素因数
114943035483728094978424076521298817820543<42>
2899987214801906374365539092724600273336593310440109478287876724717549477609682784906584566445980935986795945869926687510027702733715026997615419806229350096291334954943976650418777887758340490164135656157829308245416848466768531907391<235>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1610298641
Step 1 took 126472ms
Step 2 took 40356ms
********** Factor found in step 2: 114943035483728094978424076521298817820543
Found prime factor of 42 digits: 114943035483728094978424076521298817820543
Prime cofactor ((10^276-61)/3)/114943035483728094978424076521298817820543 has 235 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovNovember 13, 2016 00:37:34 UTC 2016 年 11 月 13 日 (日) 9 時 37 分 34 秒 (日本時間)
4511e6640 / 4173Serge BatalovNovember 15, 2016 05:53:40 UTC 2016 年 11 月 15 日 (火) 14 時 53 分 40 秒 (日本時間)

10277-613

c257

composite cofactor 合成数の残り
46356734974959253343655093583225995456049683999389427555922199053519230640732989927048523880143511504750114164221346569381799219981377095422144579084780564142295234008026477365487445433755729150482753660414516795507354153967432710124678937150728453090031907<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Youcef LemsaferDecember 2, 2016 08:40:55 UTC 2016 年 12 月 2 日 (金) 17 時 40 分 55 秒 (日本時間)
4511e6384 / 4218Youcef LemsaferDecember 13, 2016 09:11:55 UTC 2016 年 12 月 13 日 (火) 18 時 11 分 55 秒 (日本時間)

10278-613

c277

composite cofactor 合成数の残り
2564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564101<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Youcef LemsaferDecember 2, 2016 11:03:48 UTC 2016 年 12 月 2 日 (金) 20 時 3 分 48 秒 (日本時間)
4511e6384 / 4218Youcef LemsaferDecember 13, 2016 09:12:20 UTC 2016 年 12 月 13 日 (火) 18 時 12 分 20 秒 (日本時間)

10279-613

c210

composite cofactor 合成数の残り
582230086419246402489631731575985779413633617561633254779992762095498708763508216718306869840325121856985357421557038526987393692231919416376854510214853170804606611705610955303203047152671076304762216920828619<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Youcef LemsaferDecember 2, 2016 14:03:31 UTC 2016 年 12 月 2 日 (金) 23 時 3 分 31 秒 (日本時間)
4511e6384 / 4218Youcef LemsaferDecember 13, 2016 09:13:07 UTC 2016 年 12 月 13 日 (火) 18 時 13 分 7 秒 (日本時間)

10281-613

c241

composite cofactor 合成数の残り
7060969737841358694306869503704635302589281295805648912005407583138931414228160185216160763590661650401938250507969393230411897589908842886254674944349419152444763126500812565047928835655391723660578185327943910069773661567042490435249968687<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Youcef LemsaferDecember 2, 2016 15:55:07 UTC 2016 年 12 月 3 日 (土) 0 時 55 分 7 秒 (日本時間)
4511e6384 / 4218Youcef LemsaferDecember 13, 2016 14:30:48 UTC 2016 年 12 月 13 日 (火) 23 時 30 分 48 秒 (日本時間)

10284-613

c228

composite cofactor 合成数の残り
914343253938206593653768925477496526335716008071779523106414699543590209213906414806803827986355995785751600145342445856539528031239825419024169574928632567630099996950015926191462249775988880399581504254986909788024338469005147<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Youcef LemsaferDecember 3, 2016 10:52:46 UTC 2016 年 12 月 3 日 (土) 19 時 52 分 46 秒 (日本時間)
4511e6384 / 4218Youcef LemsaferDecember 13, 2016 16:21:46 UTC 2016 年 12 月 14 日 (水) 1 時 21 分 46 秒 (日本時間)

10286-613

c225

composite cofactor 合成数の残り
318825873747300545862153126890675658562523493811768245924689905028387706615113225340668367445781551094327697308274815264692307155411403577825625371832072327136443684855610474688658753769262805113963507184850942235149803857283<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Youcef LemsaferDecember 3, 2016 10:53:16 UTC 2016 年 12 月 3 日 (土) 19 時 53 分 16 秒 (日本時間)
4511e6384 / 4218Youcef LemsaferDecember 14, 2016 09:04:59 UTC 2016 年 12 月 14 日 (水) 18 時 4 分 59 秒 (日本時間)

10287-613

c220

composite cofactor 合成数の残り
1802195996457634087221205885373905497187505102685121622323515412926927073709366297964440463569567556629832979120957243419360011441726062252343366723305387505582709353058784530653283316250385520210923683793507570658057471<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Youcef LemsaferDecember 3, 2016 10:54:00 UTC 2016 年 12 月 3 日 (土) 19 時 54 分 0 秒 (日本時間)
4511e6384 / 4218Youcef LemsaferDecember 14, 2016 09:05:20 UTC 2016 年 12 月 14 日 (水) 18 時 5 分 20 秒 (日本時間)

10288-613

c234

composite cofactor 合成数の残り
392283613197705205794965178445016870145339451801240907930817640911081438453602591395953203890525506603397317269293340319025433683094992500930089521677022747617160200271697739005420334617682338974962998687691331694142289242643835706317<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Youcef LemsaferDecember 3, 2016 10:55:30 UTC 2016 年 12 月 3 日 (土) 19 時 55 分 30 秒 (日本時間)
4511e6384 / 4218Youcef LemsaferDecember 14, 2016 09:05:49 UTC 2016 年 12 月 14 日 (水) 18 時 5 分 49 秒 (日本時間)

10289-613

c239

composite cofactor 合成数の残り
38856746437749674375202408961802077687906375640797669925512932883462432640589110195348418442731654040454025636148006778680028306476541215071346097286549534702107028369271197740620611097015036377325771645476946716330890480670605617995076081<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Youcef LemsaferDecember 3, 2016 10:56:36 UTC 2016 年 12 月 3 日 (土) 19 時 56 分 36 秒 (日本時間)
4511e6384 / 4218Youcef LemsaferDecember 14, 2016 09:06:43 UTC 2016 年 12 月 14 日 (水) 18 時 6 分 43 秒 (日本時間)

10291-613

c204

composite cofactor 合成数の残り
235500568011073344188858893878947827600847457450215307955734208101011469208899432785285614029194560314912254250896715468775821657483011906338499269415785349383493743218192600680873957106846307361397193033<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Youcef LemsaferDecember 3, 2016 10:57:14 UTC 2016 年 12 月 3 日 (土) 19 時 57 分 14 秒 (日本時間)
4511e6384 / 4218Youcef LemsaferDecember 14, 2016 13:13:06 UTC 2016 年 12 月 14 日 (水) 22 時 13 分 6 秒 (日本時間)

10292-613

c250

composite cofactor 合成数の残り
7814424120656664558621618546508944157146998300366910356515203886891701384736252129225804735118238300149581906266638770838048144311946361942895184877065507045717675610932371122443840806532547199334940926672450283433281769348780031191072681571109573469<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Youcef LemsaferDecember 4, 2016 08:17:33 UTC 2016 年 12 月 4 日 (日) 17 時 17 分 33 秒 (日本時間)
4511e6384 / 4218Youcef LemsaferDecember 14, 2016 16:29:24 UTC 2016 年 12 月 15 日 (木) 1 時 29 分 24 秒 (日本時間)

10293-613

c285

name 名前KTakahashi
date 日付November 12, 2016 23:24:38 UTC 2016 年 11 月 13 日 (日) 8 時 24 分 38 秒 (日本時間)
composite number 合成数
450943801250523979786660561969862857573237906770642943451245983201179968410755401079044482372726309224349018994082097646982911119387132380861560870809096851423347515200222001437130837957344892141300011364234735314454814603632822202513873703168488526972817914850022652936383919446862593<285>
prime factors 素因数
74951552247020387319510036953213921<35>
6016470476346281827802644762174706138055328743939586272061748578737106444816543567974068297292507581508280377959260497994913822722161037715969203531489967579006698718005982320646637137239755442428159804770994435820884051849146616301222751578853139233<250>
factorization results 素因数分解の結果
Input number is 450943801250523979786660561969862857573237906770642943451245983201179968410755401079044482372726309224349018994082097646982911119387132380861560870809096851423347515200222001437130837957344892141300011364234735314454814603632822202513873703168488526972817914850022652936383919446862593 (285 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3707226342
Step 1 took 35194ms
Step 2 took 13697ms
********** Factor found in step 2: 74951552247020387319510036953213921
Found probable prime factor of 35 digits: 74951552247020387319510036953213921
Probable prime cofactor 6016470476346281827802644762174706138055328743939586272061748578737106444816543567974068297292507581508280377959260497994913822722161037715969203531489967579006698718005982320646637137239755442428159804770994435820884051849146616301222751578853139233 has 250 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)

10294-613

c257

composite cofactor 合成数の残り
96253916608943416172138429211834749541891255467970049121921010844678504947139532421431603543901222911951906912840148077102029210418548983647096839515044092425668431399465348333091652632631617071892371399765944562437837134911738130847007405938594697917761813<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Youcef LemsaferDecember 4, 2016 08:18:15 UTC 2016 年 12 月 4 日 (日) 17 時 18 分 15 秒 (日本時間)
4511e6384 / 4218Youcef LemsaferDecember 15, 2016 09:25:54 UTC 2016 年 12 月 15 日 (木) 18 時 25 分 54 秒 (日本時間)

10295-613

c267

composite cofactor 合成数の残り
702171273568849230953251137746605371532091795511060662569038703703218656500344730442930771635632183297328763461918005830278746880814127446981813795739399823803045456961835250480890273435031560294870556366388718365380856604909484454507106813611565307713498043983579623<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Youcef LemsaferDecember 4, 2016 08:18:42 UTC 2016 年 12 月 4 日 (日) 17 時 18 分 42 秒 (日本時間)
4511e6384 / 4218Youcef LemsaferDecember 15, 2016 09:26:25 UTC 2016 年 12 月 15 日 (木) 18 時 26 分 25 秒 (日本時間)

10296-613

c260

composite cofactor 合成数の残り
13849607382558453048166667645799225061773786605038742489140545606531590079602000919705690850527008618022778198348379408120561450635794635027153010367775140280997039294658844666040376602459698863188434663692426488571897113658401645483371260074376101897623757769<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Youcef LemsaferDecember 4, 2016 08:19:12 UTC 2016 年 12 月 4 日 (日) 17 時 19 分 12 秒 (日本時間)
4511e6384 / 4218Youcef LemsaferDecember 15, 2016 09:26:44 UTC 2016 年 12 月 15 日 (木) 18 時 26 分 44 秒 (日本時間)

10297-613

c279

name 名前KTakahashi
date 日付November 12, 2016 23:25:41 UTC 2016 年 11 月 13 日 (日) 8 時 25 分 41 秒 (日本時間)
composite number 合成数
496534243185107262418879881721192367953553014452571039901179615380840965939703182799585748142744539550687414716789577949108793388447054723030014254662882503551931081856602751116623368721409216026466663880863829091957719802908449791274845247697769271047415402910706579818310847249<279>
prime factors 素因数
96256238197871624128781514429929591041<38>
composite cofactor 合成数の残り
5158462999191738729292382845938186633729426082738582978330096271883380835872439554004065752028511651834985388349975973808429329692743293866376394647205733395010484816368029634978533554727730911490097898885154989708616767175962496980809820689<241>
factorization results 素因数分解の結果
Input number is 496534243185107262418879881721192367953553014452571039901179615380840965939703182799585748142744539550687414716789577949108793388447054723030014254662882503551931081856602751116623368721409216026466663880863829091957719802908449791274845247697769271047415402910706579818310847249 (279 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4225091549
Step 1 took 35069ms
Step 2 took 13432ms
********** Factor found in step 2: 96256238197871624128781514429929591041
Found probable prime factor of 38 digits: 96256238197871624128781514429929591041
Composite cofactor 5158462999191738729292382845938186633729426082738582978330096271883380835872439554004065752028511651834985388349975973808429329692743293866376394647205733395010484816368029634978533554727730911490097898885154989708616767175962496980809820689 has 241 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Youcef LemsaferDecember 4, 2016 08:19:50 UTC 2016 年 12 月 4 日 (日) 17 時 19 分 50 秒 (日本時間)
4511e6384 / 4218Youcef LemsaferDecember 15, 2016 10:56:30 UTC 2016 年 12 月 15 日 (木) 19 時 56 分 30 秒 (日本時間)

10298-613

c268

composite cofactor 合成数の残り
4175561577542079041196580893928359837338402239403406056294590402963576677948291432012164687129463864775335266631755278817000923265470072062842034487673165569368648974982642292823088670019154163422534446476169046718236781337662406870958248738484626905783252393376768551<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Youcef LemsaferDecember 4, 2016 08:20:22 UTC 2016 年 12 月 4 日 (日) 17 時 20 分 22 秒 (日本時間)
4511e6384 / 4218Youcef LemsaferDecember 15, 2016 16:29:12 UTC 2016 年 12 月 16 日 (金) 1 時 29 分 12 秒 (日本時間)

10299-613

c268

composite cofactor 合成数の残り
4400746358387322086091088405860185758905865918156157151342608583856417388826311484379085970946419159837897726040637684352872522121750436326514394394301463321481057146519703050780403260900414364935644217334851964930336110278473665519999970328263065555443733461908106273<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61000Youcef LemsaferDecember 4, 2016 08:20:45 UTC 2016 年 12 月 4 日 (日) 17 時 20 分 45 秒 (日本時間)
4511e6384 / 4218Youcef LemsaferDecember 16, 2016 09:10:19 UTC 2016 年 12 月 16 日 (金) 18 時 10 分 19 秒 (日本時間)