Table of contents 目次

691×10102-79

c100

name 名前KTakahashi
date 日付January 8, 2015 13:30:20 UTC 2015 年 1 月 8 日 (木) 22 時 30 分 20 秒 (日本時間)
composite number 合成数
5759341218046491469340467915218496570233124130056093149634519374223822502271230798723109877561906667<100>
prime factors 素因数
7386551459137741952421947146245309837469<40>
779706369055580851636888993734134681081068366667385789269543<60>
factorization results 素因数分解の結果
Number: 76777_102
N=5759341218046491469340467915218496570233124130056093149634519374223822502271230798723109877561906667
  ( 100 digits)
SNFS difficulty: 106 digits.
Divisors found:
 r1=7386551459137741952421947146245309837469 (pp40)
 r2=779706369055580851636888993734134681081068366667385789269543 (pp60)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 0.75 hours.
Scaled time: 1.26 units (timescale=1.678).
Factorization parameters were as follows:
n: 5759341218046491469340467915218496570233124130056093149634519374223822502271230798723109877561906667
m: 100000000000000000000000000
c4: 691
c0: -700
skew: 1.00
type: snfsFactor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [225000, 425001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 54387 x 54635
Total sieving time: 0.73 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,106.000,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 0.75 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

691×10111-79

c100

name 名前KTakahashi
date 日付January 8, 2015 13:40:26 UTC 2015 年 1 月 8 日 (木) 22 時 40 分 26 秒 (日本時間)
composite number 合成数
8066900993747301035338561192787108335644838113669921957991191240370634541197082075635300044836301027<100>
prime factors 素因数
122473992197655320682964587103<30>
65866236978120945410580928783357380430121993382076582050767173462515709<71>
factorization results 素因数分解の結果
Number: 76777_111
N=8066900993747301035338561192787108335644838113669921957991191240370634541197082075635300044836301027
  ( 100 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=122473992197655320682964587103 (pp30)
 r2=65866236978120945410580928783357380430121993382076582050767173462515709 (pp71)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.51 hours.
Scaled time: 2.63 units (timescale=1.737).
Factorization parameters were as follows:
n: 8066900993747301035338561192787108335644838113669921957991191240370634541197082075635300044836301027
m: 20000000000000000000000
c5: 3455
c0: -112
skew: 0.50
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 : 116106 x 116340
Total sieving time: 1.45 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 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: 1.51 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
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

691×10117-79

c106

name 名前KTakahashi
date 日付January 8, 2015 13:57:58 UTC 2015 年 1 月 8 日 (木) 22 時 57 分 58 秒 (日本時間)
composite number 合成数
5676508348987459124410629739521620360062850039855889151918451493967039434740948752202708343528995008485497<106>
prime factors 素因数
10177852162944527837120930650367811857<38>
557731460244083886760231649127732668643684155578028848114251602444521<69>
factorization results 素因数分解の結果
Number: 76777_117
N=5676508348987459124410629739521620360062850039855889151918451493967039434740948752202708343528995008485497
  ( 106 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=10177852162944527837120930650367811857 (pp38)
 r2=557731460244083886760231649127732668643684155578028848114251602444521 (pp69)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.81 hours.
Scaled time: 4.73 units (timescale=1.687).
Factorization parameters were as follows:
n: 5676508348987459124410629739521620360062850039855889151918451493967039434740948752202708343528995008485497
m: 500000000000000000000000
c5: 2764
c0: -875
skew: 0.79
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, 600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 107423 x 107652
Total sieving time: 2.75 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 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: 2.81 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

691×10122-79

c104

name 名前KTakahashi
date 日付January 8, 2015 14:17:38 UTC 2015 年 1 月 8 日 (木) 23 時 17 分 38 秒 (日本時間)
composite number 合成数
45191626181115724962527057707075242746533265192126818819318485853552524310726227821771620269299540269997<104>
prime factors 素因数
19843518793073566746702732888906963811231<41>
2277399822701303501954434948077656507649801354172472944750535987<64>
factorization results 素因数分解の結果
Number: 76777_122
N=45191626181115724962527057707075242746533265192126818819318485853552524310726227821771620269299540269997
  ( 104 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=19843518793073566746702732888906963811231 (pp41)
 r2=2277399822701303501954434948077656507649801354172472944750535987 (pp64)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 3.37 hours.
Scaled time: 6.97 units (timescale=2.068).
Factorization parameters were as follows:
n: 45191626181115724962527057707075242746533265192126818819318485853552524310726227821771620269299540269997
m: 5000000000000000000000000
c5: 2764
c0: -875
skew: 0.79
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, 750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 131801 x 132026
Total sieving time: 3.30 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,126.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 3.37 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 14:17:02 UTC 2015 年 1 月 8 日 (木) 23 時 17 分 2 秒 (日本時間)

691×10124-79

c121

name 名前KTakahashi
date 日付January 8, 2015 14:34:25 UTC 2015 年 1 月 8 日 (木) 23 時 34 分 25 秒 (日本時間)
composite number 合成数
2361237972123723402328638536155474022794318403543428838745899014875115798048886168852093215250931937230025242351519649703<121>
prime factors 素因数
7399402764066714381214535344084587459982339<43>
319111967196929036487699740884272259777442067738415989458593302422410748366477<78>
factorization results 素因数分解の結果
Number: 76777_124
N=2361237972123723402328638536155474022794318403543428838745899014875115798048886168852093215250931937230025242351519649703
  ( 121 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=7399402764066714381214535344084587459982339 (pp43)
 r2=319111967196929036487699740884272259777442067738415989458593302422410748366477 (pp78)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.82 hours.
Scaled time: 4.96 units (timescale=1.761).
Factorization parameters were as follows:
n: 2361237972123723402328638536155474022794318403543428838745899014875115798048886168852093215250931937230025242351519649703
m: 10000000000000000000000000
c5: 691
c0: -70
skew: 0.63
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 : 112475 x 112723
Total sieving time: 2.76 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,127.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 2.82 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 14:33:54 UTC 2015 年 1 月 8 日 (木) 23 時 33 分 54 秒 (日本時間)

691×10127-79

c126

name 名前KTakahashi
date 日付January 8, 2015 14:49:51 UTC 2015 年 1 月 8 日 (木) 23 時 49 分 51 秒 (日本時間)
composite number 合成数
257903183667375807113798380173926025454409733885716418467510170566939125891090956593139999253536371440301571305938118165192401<126>
prime factors 素因数
235446754628534154643477472777958794301019803904019521<54>
1095377951054247078865282418254442808959172421088335333631270883891867281<73>
factorization results 素因数分解の結果
Number: 76777_127
N=257903183667375807113798380173926025454409733885716418467510170566939125891090956593139999253536371440301571305938118165192401
  ( 126 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=235446754628534154643477472777958794301019803904019521 (pp54)
 r2=1095377951054247078865282418254442808959172421088335333631270883891867281 (pp73)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 5.58 hours.
Scaled time: 9.51 units (timescale=1.704).
Factorization parameters were as follows:
n: 257903183667375807113798380173926025454409733885716418467510170566939125891090956593139999253536371440301571305938118165192401
m: 50000000000000000000000000
c5: 2764
c0: -875
skew: 0.79
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, 1450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 141376 x 141611
Total sieving time: 5.46 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,131.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 5.58 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 14:49:21 UTC 2015 年 1 月 8 日 (木) 23 時 49 分 21 秒 (日本時間)

691×10128-79

c127

name 名前KTakahashi
date 日付January 8, 2015 14:50:41 UTC 2015 年 1 月 8 日 (木) 23 時 50 分 41 秒 (日本時間)
composite number 合成数
9805591031644671491414786433943522066127430112104441606357315169575705974173407123598694479920533560380303675322832410955016319<127>
prime factors 素因数
18721234968700819916577336700804229699<38>
523768386435947870985927534532736841467218915754185851993451310517987572550690199186799381<90>
factorization results 素因数分解の結果
Input number is 9805591031644671491414786433943522066127430112104441606357315169575705974173407123598694479920533560380303675322832410955016319 (127 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3497951359
Step 1 took 3104ms
Step 2 took 1919ms
********** Factor found in step 2: 18721234968700819916577336700804229699
Found probable prime factor of 38 digits: 18721234968700819916577336700804229699
Probable prime cofactor 523768386435947870985927534532736841467218915754185851993451310517987572550690199186799381 has 90 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

691×10129-79

c129

name 名前KTakahashi
date 日付January 8, 2015 16:32:58 UTC 2015 年 1 月 9 日 (金) 1 時 32 分 58 秒 (日本時間)
composite number 合成数
262040197193780811528251801289343951459992415623814941221084565794463405384907091391733029958285930982176715965111869548729616989<129>
prime factors 素因数
217844812048386383910371466481837<33>
500069536325706428810049885587502182590975859<45>
2405416563953364717283994343938365045635287348031883<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 262040197193780811528251801289343951459992415623814941221084565794463405384907091391733029958285930982176715965111869548729616989 (129 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4201248732
Step 1 took 3572ms
Step 2 took 2278ms
********** Factor found in step 2: 217844812048386383910371466481837
Found probable prime factor of 33 digits: 217844812048386383910371466481837
Composite cofactor 1202875545806333058656769624868387996267869868960151670678878352442483419549067809283680015312497 has 97 digits

Number: 76777_129
N=1202875545806333058656769624868387996267869868960151670678878352442483419549067809283680015312497
  ( 97 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=500069536325706428810049885587502182590975859 (pp45)
 r2=2405416563953364717283994343938365045635287348031883 (pp52)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 4.61 hours.
Scaled time: 7.80 units (timescale=1.691).
Factorization parameters were as follows:
n: 1202875545806333058656769624868387996267869868960151670678878352442483419549067809283680015312497
m: 100000000000000000000000000
c5: 691
c0: -70
skew: 0.63
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, 1250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 137060 x 137289
Total sieving time: 4.53 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,132.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 4.61 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:31:24 UTC 2015 年 1 月 9 日 (金) 1 時 31 分 24 秒 (日本時間)

691×10135-79

c110

name 名前KTakahashi
date 日付January 8, 2015 16:33:52 UTC 2015 年 1 月 9 日 (金) 1 時 33 分 52 秒 (日本時間)
composite number 合成数
10443429033046188056732350923406816684470297595608086802692307620072555521679630371421729524672391903159139443<110>
prime factors 素因数
83565820037596400234858519267808816854979986723<47>
124972495074513384940901205246486833173228921282248614230550641<63>
factorization results 素因数分解の結果
Number: 76777_135
N=10443429033046188056732350923406816684470297595608086802692307620072555521679630371421729524672391903159139443
  ( 110 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=83565820037596400234858519267808816854979986723 (pp47)
 r2=124972495074513384940901205246486833173228921282248614230550641 (pp63)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 5.46 hours.
Scaled time: 9.48 units (timescale=1.737).
Factorization parameters were as follows:
n: 10443429033046188056732350923406816684470297595608086802692307620072555521679630371421729524672391903159139443
m: 1000000000000000000000000000
c5: 691
c0: -7
skew: 0.40
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, 1550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 148917 x 149146
Total sieving time: 5.35 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 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: 5.46 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:33:22 UTC 2015 年 1 月 9 日 (金) 1 時 33 分 22 秒 (日本時間)

691×10138-79

c106

name 名前KTakahashi
date 日付January 8, 2015 16:34:46 UTC 2015 年 1 月 9 日 (金) 1 時 34 分 46 秒 (日本時間)
composite number 合成数
3011419338818582105832410247786828499746096027471201818196587836443893059835425480069289204862901668381337<106>
prime factors 素因数
5717774449692564644003314586833552935944611762097173<52>
526676832973098682735325746128475640131960835027306869<54>
factorization results 素因数分解の結果
Number: 76777_138
N=3011419338818582105832410247786828499746096027471201818196587836443893059835425480069289204862901668381337
  ( 106 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=5717774449692564644003314586833552935944611762097173 (pp52)
 r2=526676832973098682735325746128475640131960835027306869 (pp54)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 11.93 hours.
Scaled time: 20.56 units (timescale=1.723).
Factorization parameters were as follows:
n: 3011419338818582105832410247786828499746096027471201818196587836443893059835425480069289204862901668381337
m: 10000000000000000000000000000
c5: 691
c0: -700
skew: 1.00
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved rational special-q in [650000, 2750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 251199 x 251447
Total sieving time: 11.69 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,142.000,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 11.93 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:34:13 UTC 2015 年 1 月 9 日 (金) 1 時 34 分 13 秒 (日本時間)

691×10140-79

c109

name 名前Jo Yeong Uk
date 日付January 12, 2015 14:33:47 UTC 2015 年 1 月 12 日 (月) 23 時 33 分 47 秒 (日本時間)
composite number 合成数
1023941604743831781294946565144498809248539963415119209301472240776875674275958136974913815123074748815748787<109>
prime factors 素因数
1155312563496236467204698250738242910843528781<46>
886289682200939176041469027762925573666425047304691978446825727<63>
factorization results 素因数分解の結果
Number: 76777_140
N=1023941604743831781294946565144498809248539963415119209301472240776875674275958136974913815123074748815748787
  ( 109 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=1155312563496236467204698250738242910843528781
 r2=886289682200939176041469027762925573666425047304691978446825727
Version: 
Total time: 2.06 hours.
Scaled time: 10.80 units (timescale=5.249).
Factorization parameters were as follows:
n: 1023941604743831781294946565144498809248539963415119209301472240776875674275958136974913815123074748815748787
m: 10000000000000000000000000000
deg: 5
c5: 691
c0: -7
skew: 0.40
# Murphy_E = 2.648e-09
type: snfs
lss: 1
rlim: 1900000
alim: 1900000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1900000/1900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [950000, 1750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4052961
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 276684 x 276932
Total sieving time: 1.83 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,1900000,1900000,26,26,48,48,2.3,2.3,50000
total time: 2.06 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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:35:08 UTC 2015 年 1 月 9 日 (金) 1 時 35 分 8 秒 (日本時間)

691×10143-79

c95

name 名前KTakahashi
date 日付January 8, 2015 16:35:49 UTC 2015 年 1 月 9 日 (金) 1 時 35 分 49 秒 (日本時間)
composite number 合成数
12412888868949398499477244265999233770395745787386429405771797210707036040913499582359158586493<95>
prime factors 素因数
651089609348270353353109297657534949164459169<45>
19064793372105092488383096825558995643983866555997<50>
factorization results 素因数分解の結果
Number: 76777_143
N=12412888868949398499477244265999233770395745787386429405771797210707036040913499582359158586493
  ( 95 digits)
Divisors found:
 r1=651089609348270353353109297657534949164459169 (pp45)
 r2=19064793372105092488383096825558995643983866555997 (pp50)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 4.97 hours.
Scaled time: 8.64 units (timescale=1.737).
Factorization parameters were as follows:
name: 76777_143
n:  12412888868949398499477244265999233770395745787386429405771797210707036040913499582359158586493
m:  4084136886891600656002
deg: 4
c4: 44614056
c3: 432531217344
c2: 115612364683927258
c1: -1626789996896588284
c0: -153961804092223729717619
skew: 1635.250
type: gnfs
# adj. I(F,S) = 54.669
# E(F1,F2) = 4.138385e-005
# GGNFS version 0.77.1-VC8(Sat 01/17/2009) polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1419431093.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1260001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 163717 x 163942
Polynomial selection time: 0.17 hours.
Total sieving time: 4.69 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.09 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,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 4.97 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:35:18 UTC 2015 年 1 月 9 日 (金) 1 時 35 分 18 秒 (日本時間)

691×10146-79

c128

name 名前Cyp
date 日付January 17, 2015 07:00:16 UTC 2015 年 1 月 17 日 (土) 16 時 0 分 16 秒 (日本時間)
composite number 合成数
17087866395681004334528832454802829300759773821035480650684193385592926029158439616936065552884100036826607480475437848900237577<128>
prime factors 素因数
729583449859676586710034154312554703368832199234723182081<57>
23421400799274675486012448793093947457650913902790026018797925674046217<71>
factorization results 素因数分解の結果
01/17/15 06:37:09 v1.34.3, 
01/17/15 06:37:09 v1.34.3, ****************************
01/17/15 06:37:09 v1.34.3, Starting factorization of 17087866395681004334528832454802829300759773821035480650684193385592926029158439616936065552884100036826607480475437848900237577
01/17/15 06:37:09 v1.34.3, using pretesting plan: none
01/17/15 06:37:09 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/17/15 06:37:09 v1.34.3, ****************************
01/17/15 06:37:09 v1.34.3, nfs: commencing nfs on c128: 17087866395681004334528832454802829300759773821035480650684193385592926029158439616936065552884100036826607480475437848900237577
01/17/15 06:37:09 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/17/15 06:37:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 06:37:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
[87 lines snipped]
01/17/15 07:48:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 07:49:18 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 07:50:06 v1.34.3, nfs: commencing msieve filtering
01/17/15 07:50:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 07:51:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 07:52:17 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 07:53:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 07:53:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 07:54:43 v1.34.3, nfs: commencing msieve filtering
01/17/15 07:55:37 v1.34.3, nfs: commencing msieve linear algebra
01/17/15 07:59:41 v1.34.3, nfs: commencing msieve sqrt
01/17/15 08:00:16 v1.34.3, prp71 = 23421400799274675486012448793093947457650913902790026018797925674046217
01/17/15 08:00:16 v1.34.3, prp57 = 729583449859676586710034154312554703368832199234723182081
01/17/15 08:00:16 v1.34.3, NFS elapsed time = 4986.4631 seconds.
01/17/15 08:00:16 v1.34.3, 
01/17/15 08:00:16 v1.34.3, 
01/17/15 08:00:16 v1.34.3, Total factoring time = 4986.4637 seconds
--
Sat Jan 17 07:50:06 2015  
Sat Jan 17 07:50:06 2015  commencing relation filtering
Sat Jan 17 07:50:06 2015  estimated available RAM is 15987.3 MB
Sat Jan 17 07:50:06 2015  commencing duplicate removal, pass 1
Sat Jan 17 07:50:17 2015  found 712405 hash collisions in 4484516 relations
Sat Jan 17 07:50:21 2015  added 183871 free relations
Sat Jan 17 07:50:21 2015  commencing duplicate removal, pass 2
Sat Jan 17 07:50:24 2015  found 581287 duplicates and 4087100 unique relations
Sat Jan 17 07:50:24 2015  memory use: 20.6 MB
Sat Jan 17 07:50:24 2015  reading ideals above 100000
Sat Jan 17 07:50:24 2015  commencing singleton removal, initial pass
Sat Jan 17 07:50:41 2015  memory use: 94.1 MB
Sat Jan 17 07:50:41 2015  reading all ideals from disk
Sat Jan 17 07:50:41 2015  memory use: 134.8 MB
Sat Jan 17 07:50:41 2015  keeping 4786068 ideals with weight <= 200, target excess is 21591
Sat Jan 17 07:50:41 2015  commencing in-memory singleton removal
Sat Jan 17 07:50:42 2015  begin with 4087100 relations and 4786068 unique ideals
Sat Jan 17 07:50:42 2015  reduce to 1398572 relations and 1396314 ideals in 16 passes
Sat Jan 17 07:50:42 2015  max relations containing the same ideal: 94
Sat Jan 17 07:54:43 2015  
Sat Jan 17 07:54:43 2015  commencing relation filtering
Sat Jan 17 07:54:43 2015  estimated available RAM is 15987.3 MB
Sat Jan 17 07:54:43 2015  commencing duplicate removal, pass 1
Sat Jan 17 07:54:57 2015  found 786124 hash collisions in 4893664 relations
Sat Jan 17 07:55:00 2015  added 1220 free relations
Sat Jan 17 07:55:00 2015  commencing duplicate removal, pass 2
Sat Jan 17 07:55:04 2015  found 628651 duplicates and 4266233 unique relations
Sat Jan 17 07:55:04 2015  memory use: 20.6 MB
Sat Jan 17 07:55:04 2015  reading ideals above 100000
Sat Jan 17 07:55:04 2015  commencing singleton removal, initial pass
Sat Jan 17 07:55:21 2015  memory use: 94.1 MB
Sat Jan 17 07:55:21 2015  reading all ideals from disk
Sat Jan 17 07:55:21 2015  memory use: 140.8 MB
Sat Jan 17 07:55:22 2015  keeping 4874881 ideals with weight <= 200, target excess is 22518
Sat Jan 17 07:55:22 2015  commencing in-memory singleton removal
Sat Jan 17 07:55:22 2015  begin with 4266233 relations and 4874881 unique ideals
Sat Jan 17 07:55:23 2015  reduce to 1597084 relations and 1533801 ideals in 15 passes
Sat Jan 17 07:55:23 2015  max relations containing the same ideal: 105
Sat Jan 17 07:55:23 2015  removing 159597 relations and 141016 ideals in 18581 cliques
Sat Jan 17 07:55:23 2015  commencing in-memory singleton removal
Sat Jan 17 07:55:23 2015  begin with 1437487 relations and 1533801 unique ideals
Sat Jan 17 07:55:24 2015  reduce to 1424927 relations and 1380006 ideals in 7 passes
Sat Jan 17 07:55:24 2015  max relations containing the same ideal: 101
Sat Jan 17 07:55:24 2015  removing 118615 relations and 100034 ideals in 18581 cliques
Sat Jan 17 07:55:24 2015  commencing in-memory singleton removal
Sat Jan 17 07:55:24 2015  begin with 1306312 relations and 1380006 unique ideals
Sat Jan 17 07:55:24 2015  reduce to 1298746 relations and 1272296 ideals in 6 passes
Sat Jan 17 07:55:24 2015  max relations containing the same ideal: 91
Sat Jan 17 07:55:24 2015  relations with 0 large ideals: 532
Sat Jan 17 07:55:24 2015  relations with 1 large ideals: 107
Sat Jan 17 07:55:24 2015  relations with 2 large ideals: 1861
Sat Jan 17 07:55:24 2015  relations with 3 large ideals: 16989
Sat Jan 17 07:55:24 2015  relations with 4 large ideals: 81439
Sat Jan 17 07:55:24 2015  relations with 5 large ideals: 222869
Sat Jan 17 07:55:24 2015  relations with 6 large ideals: 376963
Sat Jan 17 07:55:24 2015  relations with 7+ large ideals: 597986
Sat Jan 17 07:55:24 2015  commencing 2-way merge
Sat Jan 17 07:55:25 2015  reduce to 782031 relation sets and 755581 unique ideals
Sat Jan 17 07:55:25 2015  commencing full merge
Sat Jan 17 07:55:33 2015  memory use: 98.1 MB
Sat Jan 17 07:55:33 2015  found 394807 cycles, need 391781
Sat Jan 17 07:55:34 2015  weight of 391781 cycles is about 27564272 (70.36/cycle)
Sat Jan 17 07:55:34 2015  distribution of cycle lengths:
Sat Jan 17 07:55:34 2015  1 relations: 43332
Sat Jan 17 07:55:34 2015  2 relations: 44017
Sat Jan 17 07:55:34 2015  3 relations: 43189
Sat Jan 17 07:55:34 2015  4 relations: 39575
Sat Jan 17 07:55:34 2015  5 relations: 34974
Sat Jan 17 07:55:34 2015  6 relations: 30953
Sat Jan 17 07:55:34 2015  7 relations: 26821
Sat Jan 17 07:55:34 2015  8 relations: 22880
Sat Jan 17 07:55:34 2015  9 relations: 19483
Sat Jan 17 07:55:34 2015  10+ relations: 86557
Sat Jan 17 07:55:34 2015  heaviest cycle: 25 relations
Sat Jan 17 07:55:34 2015  commencing cycle optimization
Sat Jan 17 07:55:34 2015  start with 2480957 relations
Sat Jan 17 07:55:36 2015  pruned 64992 relations
Sat Jan 17 07:55:36 2015  memory use: 78.4 MB
Sat Jan 17 07:55:36 2015  distribution of cycle lengths:
Sat Jan 17 07:55:36 2015  1 relations: 43332
Sat Jan 17 07:55:36 2015  2 relations: 44888
Sat Jan 17 07:55:36 2015  3 relations: 44670
Sat Jan 17 07:55:36 2015  4 relations: 40514
Sat Jan 17 07:55:36 2015  5 relations: 35941
Sat Jan 17 07:55:36 2015  6 relations: 31403
Sat Jan 17 07:55:36 2015  7 relations: 27217
Sat Jan 17 07:55:36 2015  8 relations: 22929
Sat Jan 17 07:55:36 2015  9 relations: 19476
Sat Jan 17 07:55:36 2015  10+ relations: 81411
Sat Jan 17 07:55:36 2015  heaviest cycle: 25 relations
Sat Jan 17 07:55:37 2015  RelProcTime: 54
Sat Jan 17 07:55:37 2015  
Sat Jan 17 07:55:37 2015  commencing linear algebra
Sat Jan 17 07:55:37 2015  read 391781 cycles
Sat Jan 17 07:55:37 2015  cycles contain 1274475 unique relations
Sat Jan 17 07:55:43 2015  read 1274475 relations
Sat Jan 17 07:55:43 2015  using 20 quadratic characters above 67108272
Sat Jan 17 07:55:47 2015  building initial matrix
Sat Jan 17 07:55:53 2015  memory use: 155.2 MB
Sat Jan 17 07:55:54 2015  read 391781 cycles
Sat Jan 17 07:55:54 2015  matrix is 391625 x 391781 (116.9 MB) with weight 34991922 (89.32/col)
Sat Jan 17 07:55:54 2015  sparse part has weight 26322420 (67.19/col)
Sat Jan 17 07:55:55 2015  filtering completed in 2 passes
Sat Jan 17 07:55:55 2015  matrix is 391410 x 391582 (116.8 MB) with weight 34984175 (89.34/col)
Sat Jan 17 07:55:55 2015  sparse part has weight 26319560 (67.21/col)
Sat Jan 17 07:55:56 2015  matrix starts at (0, 0)
Sat Jan 17 07:55:56 2015  matrix is 391410 x 391582 (116.8 MB) with weight 34984175 (89.34/col)
Sat Jan 17 07:55:56 2015  sparse part has weight 26319560 (67.21/col)
Sat Jan 17 07:55:56 2015  saving the first 48 matrix rows for later
Sat Jan 17 07:55:56 2015  matrix includes 64 packed rows
Sat Jan 17 07:55:56 2015  matrix is 391362 x 391582 (109.9 MB) with weight 27652073 (70.62/col)
Sat Jan 17 07:55:56 2015  sparse part has weight 24906065 (63.60/col)
Sat Jan 17 07:55:56 2015  using block size 65536 for processor cache size 8192 kB
Sat Jan 17 07:55:57 2015  commencing Lanczos iteration (8 threads)
Sat Jan 17 07:55:57 2015  memory use: 105.8 MB
Sat Jan 17 07:56:04 2015  linear algebra at 3.1%, ETA 0h 3m
Sat Jan 17 07:59:41 2015  lanczos halted after 6190 iterations (dim = 391356)
Sat Jan 17 07:59:41 2015  recovered 34 nontrivial dependencies
Sat Jan 17 07:59:41 2015  BLanczosTime: 244
Sat Jan 17 07:59:41 2015  
Sat Jan 17 07:59:41 2015  commencing square root phase
Sat Jan 17 07:59:41 2015  reading relations for dependency 1
Sat Jan 17 07:59:41 2015  read 195678 cycles
Sat Jan 17 07:59:41 2015  cycles contain 637104 unique relations
Sat Jan 17 07:59:46 2015  read 637104 relations
Sat Jan 17 07:59:47 2015  multiplying 637104 relations
Sat Jan 17 07:59:59 2015  multiply complete, coefficients have about 20.41 million bits
Sat Jan 17 07:59:59 2015  initial square root is modulo 726641
Sat Jan 17 08:00:16 2015  sqrtTime: 35
--
n: 17087866395681004334528832454802829300759773821035480650684193385592926029158439616936065552884100036826607480475437848900237577
m: 100000000000000000000000000000
deg: 5
c5: 6910
c0: -7
skew: 0.25
# Murphy_E = 1.188e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:36:31 UTC 2015 年 1 月 9 日 (金) 1 時 36 分 31 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:03:39 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 39 秒 (日本時間)

691×10147-79

c146

name 名前Cyp
date 日付January 13, 2015 15:22:59 UTC 2015 年 1 月 14 日 (水) 0 時 22 分 59 秒 (日本時間)
composite number 合成数
11048752018675748708846996370381030044290945139988167761948162005724244895348651284757199277274108185030619913336851025727123007307206472554004573<146>
prime factors 素因数
4795314729546976073162979201120248733489744889<46>
2304072337650202285464137844644218967020017341162140328807483114913757484987114476719495583824513157<100>
factorization results 素因数分解の結果
01/13/15 14:31:09 v1.34.3, 
01/13/15 14:31:09 v1.34.3, ****************************
01/13/15 14:31:09 v1.34.3, Starting factorization of 11048752018675748708846996370381030044290945139988167761948162005724244895348651284757199277274108185030619913336851025727123007307206472554004573
01/13/15 14:31:09 v1.34.3, using pretesting plan: none
01/13/15 14:31:09 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/13/15 14:31:09 v1.34.3, ****************************
01/13/15 14:31:09 v1.34.3, nfs: commencing nfs on c146: 11048752018675748708846996370381030044290945139988167761948162005724244895348651284757199277274108185030619913336851025727123007307206472554004573
01/13/15 14:31:09 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/13/15 14:31:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/13/15 14:34:50 v1.34.3, nfs: commencing lattice sieving with 8 threads
[24 lines snipped]
01/13/15 16:09:50 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/13/15 16:13:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/13/15 16:17:22 v1.34.3, nfs: commencing msieve filtering
01/13/15 16:18:14 v1.34.3, nfs: commencing msieve linear algebra
01/13/15 16:22:20 v1.34.3, nfs: commencing msieve sqrt
01/13/15 16:22:58 v1.34.3, prp100 = 2304072337650202285464137844644218967020017341162140328807483114913757484987114476719495583824513157
01/13/15 16:22:58 v1.34.3, prp46 = 4795314729546976073162979201120248733489744889
01/13/15 16:22:58 v1.34.3, NFS elapsed time = 6709.2979 seconds.
01/13/15 16:22:58 v1.34.3, 
01/13/15 16:22:58 v1.34.3, 
01/13/15 16:22:58 v1.34.3, Total factoring time = 6709.2988 seconds
--
Tue Jan 13 16:17:22 2015  
Tue Jan 13 16:17:22 2015  commencing relation filtering
Tue Jan 13 16:17:22 2015  estimated available RAM is 15987.3 MB
Tue Jan 13 16:17:22 2015  commencing duplicate removal, pass 1
Tue Jan 13 16:17:34 2015  found 614579 hash collisions in 4557576 relations
Tue Jan 13 16:17:39 2015  added 186459 free relations
Tue Jan 13 16:17:39 2015  commencing duplicate removal, pass 2
Tue Jan 13 16:17:42 2015  found 438833 duplicates and 4305202 unique relations
Tue Jan 13 16:17:42 2015  memory use: 20.6 MB
Tue Jan 13 16:17:42 2015  reading ideals above 100000
Tue Jan 13 16:17:42 2015  commencing singleton removal, initial pass
Tue Jan 13 16:18:00 2015  memory use: 94.1 MB
Tue Jan 13 16:18:00 2015  reading all ideals from disk
Tue Jan 13 16:18:00 2015  memory use: 145.9 MB
Tue Jan 13 16:18:00 2015  keeping 4892111 ideals with weight <= 200, target excess is 23821
Tue Jan 13 16:18:00 2015  commencing in-memory singleton removal
Tue Jan 13 16:18:01 2015  begin with 4305202 relations and 4892111 unique ideals
Tue Jan 13 16:18:02 2015  reduce to 1656854 relations and 1585014 ideals in 15 passes
Tue Jan 13 16:18:02 2015  max relations containing the same ideal: 101
Tue Jan 13 16:18:02 2015  removing 178437 relations and 156333 ideals in 22104 cliques
Tue Jan 13 16:18:02 2015  commencing in-memory singleton removal
Tue Jan 13 16:18:02 2015  begin with 1478417 relations and 1585014 unique ideals
Tue Jan 13 16:18:02 2015  reduce to 1462964 relations and 1412948 ideals in 8 passes
Tue Jan 13 16:18:02 2015  max relations containing the same ideal: 95
Tue Jan 13 16:18:03 2015  removing 135312 relations and 113208 ideals in 22104 cliques
Tue Jan 13 16:18:03 2015  commencing in-memory singleton removal
Tue Jan 13 16:18:03 2015  begin with 1327652 relations and 1412948 unique ideals
Tue Jan 13 16:18:03 2015  reduce to 1317689 relations and 1289611 ideals in 8 passes
Tue Jan 13 16:18:03 2015  max relations containing the same ideal: 90
Tue Jan 13 16:18:03 2015  relations with 0 large ideals: 544
Tue Jan 13 16:18:03 2015  relations with 1 large ideals: 101
Tue Jan 13 16:18:03 2015  relations with 2 large ideals: 1358
Tue Jan 13 16:18:03 2015  relations with 3 large ideals: 13032
Tue Jan 13 16:18:03 2015  relations with 4 large ideals: 67861
Tue Jan 13 16:18:03 2015  relations with 5 large ideals: 198584
Tue Jan 13 16:18:03 2015  relations with 6 large ideals: 361950
Tue Jan 13 16:18:03 2015  relations with 7+ large ideals: 674259
Tue Jan 13 16:18:03 2015  commencing 2-way merge
Tue Jan 13 16:18:04 2015  reduce to 790838 relation sets and 762759 unique ideals
Tue Jan 13 16:18:04 2015  commencing full merge
Tue Jan 13 16:18:11 2015  memory use: 97.8 MB
Tue Jan 13 16:18:11 2015  found 396495 cycles, need 392959
Tue Jan 13 16:18:12 2015  weight of 392959 cycles is about 27781765 (70.70/cycle)
Tue Jan 13 16:18:12 2015  distribution of cycle lengths:
Tue Jan 13 16:18:12 2015  1 relations: 44238
Tue Jan 13 16:18:12 2015  2 relations: 43241
Tue Jan 13 16:18:12 2015  3 relations: 43177
Tue Jan 13 16:18:12 2015  4 relations: 40271
Tue Jan 13 16:18:12 2015  5 relations: 36567
Tue Jan 13 16:18:12 2015  6 relations: 32353
Tue Jan 13 16:18:12 2015  7 relations: 27526
Tue Jan 13 16:18:12 2015  8 relations: 23864
Tue Jan 13 16:18:12 2015  9 relations: 20323
Tue Jan 13 16:18:12 2015  10+ relations: 81399
Tue Jan 13 16:18:12 2015  heaviest cycle: 24 relations
Tue Jan 13 16:18:12 2015  commencing cycle optimization
Tue Jan 13 16:18:12 2015  start with 2420663 relations
Tue Jan 13 16:18:14 2015  pruned 59682 relations
Tue Jan 13 16:18:14 2015  memory use: 78.3 MB
Tue Jan 13 16:18:14 2015  distribution of cycle lengths:
Tue Jan 13 16:18:14 2015  1 relations: 44238
Tue Jan 13 16:18:14 2015  2 relations: 44093
Tue Jan 13 16:18:14 2015  3 relations: 44644
Tue Jan 13 16:18:14 2015  4 relations: 41211
Tue Jan 13 16:18:14 2015  5 relations: 37519
Tue Jan 13 16:18:14 2015  6 relations: 32857
Tue Jan 13 16:18:14 2015  7 relations: 27947
Tue Jan 13 16:18:14 2015  8 relations: 23941
Tue Jan 13 16:18:14 2015  9 relations: 20232
Tue Jan 13 16:18:14 2015  10+ relations: 76277
Tue Jan 13 16:18:14 2015  heaviest cycle: 23 relations
Tue Jan 13 16:18:14 2015  RelProcTime: 52
Tue Jan 13 16:18:14 2015  
Tue Jan 13 16:18:14 2015  commencing linear algebra
Tue Jan 13 16:18:14 2015  read 392959 cycles
Tue Jan 13 16:18:15 2015  cycles contain 1290873 unique relations
Tue Jan 13 16:18:20 2015  read 1290873 relations
Tue Jan 13 16:18:21 2015  using 20 quadratic characters above 67107968
Tue Jan 13 16:18:25 2015  building initial matrix
Tue Jan 13 16:18:31 2015  memory use: 154.9 MB
Tue Jan 13 16:18:31 2015  read 392959 cycles
Tue Jan 13 16:18:31 2015  matrix is 392782 x 392959 (118.1 MB) with weight 34606290 (88.07/col)
Tue Jan 13 16:18:31 2015  sparse part has weight 26631813 (67.77/col)
Tue Jan 13 16:18:33 2015  filtering completed in 2 passes
Tue Jan 13 16:18:33 2015  matrix is 392535 x 392712 (118.1 MB) with weight 34598034 (88.10/col)
Tue Jan 13 16:18:33 2015  sparse part has weight 26628772 (67.81/col)
Tue Jan 13 16:18:33 2015  matrix starts at (0, 0)
Tue Jan 13 16:18:33 2015  matrix is 392535 x 392712 (118.1 MB) with weight 34598034 (88.10/col)
Tue Jan 13 16:18:33 2015  sparse part has weight 26628772 (67.81/col)
Tue Jan 13 16:18:33 2015  saving the first 48 matrix rows for later
Tue Jan 13 16:18:33 2015  matrix includes 64 packed rows
Tue Jan 13 16:18:34 2015  matrix is 392487 x 392712 (111.0 MB) with weight 27604869 (70.29/col)
Tue Jan 13 16:18:34 2015  sparse part has weight 25174682 (64.10/col)
Tue Jan 13 16:18:34 2015  using block size 65536 for processor cache size 8192 kB
Tue Jan 13 16:18:35 2015  commencing Lanczos iteration (8 threads)
Tue Jan 13 16:18:35 2015  memory use: 107.2 MB
Tue Jan 13 16:18:42 2015  linear algebra at 3.1%, ETA 0h 3m
Tue Jan 13 16:22:20 2015  lanczos halted after 6208 iterations (dim = 392487)
Tue Jan 13 16:22:20 2015  recovered 39 nontrivial dependencies
Tue Jan 13 16:22:20 2015  BLanczosTime: 246
Tue Jan 13 16:22:20 2015  
Tue Jan 13 16:22:20 2015  commencing square root phase
Tue Jan 13 16:22:20 2015  reading relations for dependency 1
Tue Jan 13 16:22:20 2015  read 196238 cycles
Tue Jan 13 16:22:20 2015  cycles contain 644468 unique relations
Tue Jan 13 16:22:24 2015  read 644468 relations
Tue Jan 13 16:22:26 2015  multiplying 644468 relations
Tue Jan 13 16:22:39 2015  multiply complete, coefficients have about 23.09 million bits
Tue Jan 13 16:22:39 2015  initial square root is modulo 4284251
Tue Jan 13 16:22:58 2015  sqrtTime: 38
--
n: 11048752018675748708846996370381030044290945139988167761948162005724244895348651284757199277274108185030619913336851025727123007307206472554004573
m: 100000000000000000000000000000
deg: 5
c5: 69100
c0: -7
skew: 0.16
# Murphy_E = 9.168e-10
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:36:40 UTC 2015 年 1 月 9 日 (金) 1 時 36 分 40 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:03:40 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 40 秒 (日本時間)

691×10148-79

c145

name 名前KTakahashi
date 日付January 8, 2015 16:37:52 UTC 2015 年 1 月 9 日 (金) 1 時 37 分 52 秒 (日本時間)
composite number 合成数
4941577113990241279117581645080341748317110514689213416775188276948579707781875496571289222427465728982743097346208608928164057499647796421325587<145>
prime factors 素因数
13181433522251832088791793896661<32>
composite cofactor 合成数の残り
374889203488245013047803545015885569260965006430946094049567366154449665512047876691164209253794608856822859191367<114>
factorization results 素因数分解の結果
Input number is 4941577113990241279117581645080341748317110514689213416775188276948579707781875496571289222427465728982743097346208608928164057499647796421325587 (145 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2663010378
Step 1 took 4118ms
Step 2 took 2465ms
********** Factor found in step 2: 13181433522251832088791793896661
Found probable prime factor of 32 digits: 13181433522251832088791793896661
Composite cofactor 374889203488245013047803545015885569260965006430946094049567366154449665512047876691164209253794608856822859191367 has 114 digits
software ソフトウェア
GMP-ECM 6.4.4

c114

name 名前Cyp
date 日付January 18, 2015 14:19:54 UTC 2015 年 1 月 18 日 (日) 23 時 19 分 54 秒 (日本時間)
composite number 合成数
374889203488245013047803545015885569260965006430946094049567366154449665512047876691164209253794608856822859191367<114>
prime factors 素因数
12113017805983288737442720709213875072254201345930148121<56>
30949281962011689841036958706342345796273813627877076780127<59>
factorization results 素因数分解の結果
01/18/15 12:19:24 v1.34.3, 
01/18/15 12:19:24 v1.34.3, ****************************
01/18/15 12:19:24 v1.34.3, Starting factorization of 374889203488245013047803545015885569260965006430946094049567366154449665512047876691164209253794608856822859191367
01/18/15 12:19:24 v1.34.3, using pretesting plan: none
01/18/15 12:19:24 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/18/15 12:19:24 v1.34.3, ****************************
01/18/15 12:19:24 v1.34.3, nfs: commencing nfs on c114: 374889203488245013047803545015885569260965006430946094049567366154449665512047876691164209253794608856822859191367
01/18/15 12:19:24 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/18/15 12:19:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/15 12:20:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
[243 lines snipped]
01/18/15 15:11:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/15 15:12:06 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/15 15:12:48 v1.34.3, nfs: commencing msieve filtering
01/18/15 15:14:30 v1.34.3, nfs: commencing msieve linear algebra
01/18/15 15:19:13 v1.34.3, nfs: commencing msieve sqrt
01/18/15 15:19:53 v1.34.3, prp59 = 30949281962011689841036958706342345796273813627877076780127
01/18/15 15:19:53 v1.34.3, prp56 = 12113017805983288737442720709213875072254201345930148121
01/18/15 15:19:53 v1.34.3, NFS elapsed time = 10829.2086 seconds.
01/18/15 15:19:53 v1.34.3, 
01/18/15 15:19:53 v1.34.3, 
01/18/15 15:19:53 v1.34.3, Total factoring time = 10829.2091 seconds
--
Sun Jan 18 15:12:48 2015  
Sun Jan 18 15:12:48 2015  commencing relation filtering
Sun Jan 18 15:12:48 2015  estimated available RAM is 15987.3 MB
Sun Jan 18 15:12:48 2015  commencing duplicate removal, pass 1
Sun Jan 18 15:13:16 2015  found 1994830 hash collisions in 10064683 relations
Sun Jan 18 15:13:23 2015  added 343996 free relations
Sun Jan 18 15:13:23 2015  commencing duplicate removal, pass 2
Sun Jan 18 15:13:32 2015  found 1800775 duplicates and 8607904 unique relations
Sun Jan 18 15:13:32 2015  memory use: 45.3 MB
Sun Jan 18 15:13:32 2015  reading ideals above 100000
Sun Jan 18 15:13:32 2015  commencing singleton removal, initial pass
Sun Jan 18 15:14:11 2015  memory use: 188.2 MB
Sun Jan 18 15:14:11 2015  reading all ideals from disk
Sun Jan 18 15:14:11 2015  memory use: 289.7 MB
Sun Jan 18 15:14:11 2015  keeping 8830047 ideals with weight <= 200, target excess is 46389
Sun Jan 18 15:14:12 2015  commencing in-memory singleton removal
Sun Jan 18 15:14:12 2015  begin with 8607904 relations and 8830047 unique ideals
Sun Jan 18 15:14:15 2015  reduce to 4089464 relations and 3167477 ideals in 13 passes
Sun Jan 18 15:14:15 2015  max relations containing the same ideal: 123
Sun Jan 18 15:14:16 2015  removing 1199072 relations and 799072 ideals in 400000 cliques
Sun Jan 18 15:14:16 2015  commencing in-memory singleton removal
Sun Jan 18 15:14:16 2015  begin with 2890392 relations and 3167477 unique ideals
Sun Jan 18 15:14:17 2015  reduce to 2698627 relations and 2154835 ideals in 7 passes
Sun Jan 18 15:14:17 2015  max relations containing the same ideal: 90
Sun Jan 18 15:14:18 2015  removing 1021770 relations and 621770 ideals in 400000 cliques
Sun Jan 18 15:14:18 2015  commencing in-memory singleton removal
Sun Jan 18 15:14:18 2015  begin with 1676857 relations and 2154835 unique ideals
Sun Jan 18 15:14:18 2015  reduce to 1521189 relations and 1356639 ideals in 8 passes
Sun Jan 18 15:14:18 2015  max relations containing the same ideal: 62
Sun Jan 18 15:14:19 2015  removing 323323 relations and 212585 ideals in 110738 cliques
Sun Jan 18 15:14:19 2015  commencing in-memory singleton removal
Sun Jan 18 15:14:19 2015  begin with 1197866 relations and 1356639 unique ideals
Sun Jan 18 15:14:19 2015  reduce to 1148315 relations and 1090747 ideals in 7 passes
Sun Jan 18 15:14:19 2015  max relations containing the same ideal: 50
Sun Jan 18 15:14:19 2015  relations with 0 large ideals: 1043
Sun Jan 18 15:14:19 2015  relations with 1 large ideals: 865
Sun Jan 18 15:14:19 2015  relations with 2 large ideals: 11832
Sun Jan 18 15:14:19 2015  relations with 3 large ideals: 67912
Sun Jan 18 15:14:19 2015  relations with 4 large ideals: 196794
Sun Jan 18 15:14:19 2015  relations with 5 large ideals: 317409
Sun Jan 18 15:14:19 2015  relations with 6 large ideals: 313267
Sun Jan 18 15:14:19 2015  relations with 7+ large ideals: 239193
Sun Jan 18 15:14:19 2015  commencing 2-way merge
Sun Jan 18 15:14:20 2015  reduce to 780495 relation sets and 722927 unique ideals
Sun Jan 18 15:14:20 2015  commencing full merge
Sun Jan 18 15:14:26 2015  memory use: 88.7 MB
Sun Jan 18 15:14:27 2015  found 397796 cycles, need 387127
Sun Jan 18 15:14:27 2015  weight of 387127 cycles is about 27153054 (70.14/cycle)
Sun Jan 18 15:14:27 2015  distribution of cycle lengths:
Sun Jan 18 15:14:27 2015  1 relations: 18494
Sun Jan 18 15:14:27 2015  2 relations: 33560
Sun Jan 18 15:14:27 2015  3 relations: 43584
Sun Jan 18 15:14:27 2015  4 relations: 45881
Sun Jan 18 15:14:27 2015  5 relations: 46141
Sun Jan 18 15:14:27 2015  6 relations: 42121
Sun Jan 18 15:14:27 2015  7 relations: 36800
Sun Jan 18 15:14:27 2015  8 relations: 30354
Sun Jan 18 15:14:27 2015  9 relations: 24460
Sun Jan 18 15:14:27 2015  10+ relations: 65732
Sun Jan 18 15:14:27 2015  heaviest cycle: 19 relations
Sun Jan 18 15:14:27 2015  commencing cycle optimization
Sun Jan 18 15:14:27 2015  start with 2383667 relations
Sun Jan 18 15:14:29 2015  pruned 83411 relations
Sun Jan 18 15:14:29 2015  memory use: 71.9 MB
Sun Jan 18 15:14:29 2015  distribution of cycle lengths:
Sun Jan 18 15:14:29 2015  1 relations: 18494
Sun Jan 18 15:14:29 2015  2 relations: 34400
Sun Jan 18 15:14:29 2015  3 relations: 45556
Sun Jan 18 15:14:29 2015  4 relations: 47745
Sun Jan 18 15:14:29 2015  5 relations: 48457
Sun Jan 18 15:14:29 2015  6 relations: 43718
Sun Jan 18 15:14:29 2015  7 relations: 37810
Sun Jan 18 15:14:29 2015  8 relations: 30556
Sun Jan 18 15:14:29 2015  9 relations: 24109
Sun Jan 18 15:14:29 2015  10+ relations: 56282
Sun Jan 18 15:14:29 2015  heaviest cycle: 18 relations
Sun Jan 18 15:14:30 2015  RelProcTime: 102
Sun Jan 18 15:14:30 2015  
Sun Jan 18 15:14:30 2015  commencing linear algebra
Sun Jan 18 15:14:30 2015  read 387127 cycles
Sun Jan 18 15:14:30 2015  cycles contain 1105972 unique relations
Sun Jan 18 15:14:39 2015  read 1105972 relations
Sun Jan 18 15:14:40 2015  using 20 quadratic characters above 134211398
Sun Jan 18 15:14:43 2015  building initial matrix
Sun Jan 18 15:14:50 2015  memory use: 139.4 MB
Sun Jan 18 15:14:50 2015  read 387127 cycles
Sun Jan 18 15:14:50 2015  matrix is 386947 x 387127 (114.8 MB) with weight 34180867 (88.29/col)
Sun Jan 18 15:14:50 2015  sparse part has weight 25824782 (66.71/col)
Sun Jan 18 15:14:51 2015  filtering completed in 2 passes
Sun Jan 18 15:14:52 2015  matrix is 386813 x 386993 (114.7 MB) with weight 34174731 (88.31/col)
Sun Jan 18 15:14:52 2015  sparse part has weight 25821586 (66.72/col)
Sun Jan 18 15:14:52 2015  matrix starts at (0, 0)
Sun Jan 18 15:14:52 2015  matrix is 386813 x 386993 (114.7 MB) with weight 34174731 (88.31/col)
Sun Jan 18 15:14:52 2015  sparse part has weight 25821586 (66.72/col)
Sun Jan 18 15:14:52 2015  saving the first 48 matrix rows for later
Sun Jan 18 15:14:52 2015  matrix includes 64 packed rows
Sun Jan 18 15:14:52 2015  matrix is 386765 x 386993 (107.7 MB) with weight 26812350 (69.28/col)
Sun Jan 18 15:14:52 2015  sparse part has weight 24373805 (62.98/col)
Sun Jan 18 15:14:52 2015  using block size 65536 for processor cache size 8192 kB
Sun Jan 18 15:14:53 2015  commencing Lanczos iteration (8 threads)
Sun Jan 18 15:14:53 2015  memory use: 103.8 MB
Sun Jan 18 15:15:01 2015  linear algebra at 3.1%, ETA 0h 4m
Sun Jan 18 15:19:13 2015  lanczos halted after 6119 iterations (dim = 386763)
Sun Jan 18 15:19:13 2015  recovered 37 nontrivial dependencies
Sun Jan 18 15:19:13 2015  BLanczosTime: 283
Sun Jan 18 15:19:13 2015  
Sun Jan 18 15:19:13 2015  commencing square root phase
Sun Jan 18 15:19:13 2015  reading relations for dependency 1
Sun Jan 18 15:19:13 2015  read 193515 cycles
Sun Jan 18 15:19:13 2015  cycles contain 553266 unique relations
Sun Jan 18 15:19:21 2015  read 553266 relations
Sun Jan 18 15:19:22 2015  multiplying 553266 relations
Sun Jan 18 15:19:35 2015  multiply complete, coefficients have about 21.16 million bits
Sun Jan 18 15:19:35 2015  initial square root is modulo 1196521
Sun Jan 18 15:19:53 2015  sqrtTime: 40
--
n: 374889203488245013047803545015885569260965006430946094049567366154449665512047876691164209253794608856822859191367
m: 100000000000000000000000000000
deg: 5
c5: 691000
c0: -7
skew: 0.10
# Murphy_E = 7.62e-10
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:37:03 UTC 2015 年 1 月 9 日 (金) 1 時 37 分 3 秒 (日本時間)

691×10149-79

c131

name 名前Cyp
date 日付January 17, 2015 00:54:10 UTC 2015 年 1 月 17 日 (土) 9 時 54 分 10 秒 (日本時間)
composite number 合成数
73894134057111255426331664313026127409776546659166901641054800049664595804533968820727998704935625868797785729881542156771597861623<131>
prime factors 素因数
2778591068582876120656659893338551789709<40>
26594101914679511404070856077335353590625288621374013654743870645261269796314154444614361747<92>
factorization results 素因数分解の結果
01/16/15 23:44:05 v1.34.3, 
01/16/15 23:44:05 v1.34.3, ****************************
01/16/15 23:44:05 v1.34.3, Starting factorization of 73894134057111255426331664313026127409776546659166901641054800049664595804533968820727998704935625868797785729881542156771597861623
01/16/15 23:44:05 v1.34.3, using pretesting plan: none
01/16/15 23:44:05 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/16/15 23:44:05 v1.34.3, ****************************
01/16/15 23:44:05 v1.34.3, nfs: commencing nfs on c131: 73894134057111255426331664313026127409776546659166901641054800049664595804533968820727998704935625868797785729881542156771597861623
01/16/15 23:44:05 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/16/15 23:44:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 23:44:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
[135 lines snipped]
01/17/15 01:46:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 01:46:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 01:47:45 v1.34.3, nfs: commencing msieve filtering
01/17/15 01:49:26 v1.34.3, nfs: commencing msieve linear algebra
01/17/15 01:53:33 v1.34.3, nfs: commencing msieve sqrt
01/17/15 01:54:09 v1.34.3, prp40 = 2778591068582876120656659893338551789709
01/17/15 01:54:09 v1.34.3, prp92 = 26594101914679511404070856077335353590625288621374013654743870645261269796314154444614361747
01/17/15 01:54:09 v1.34.3, NFS elapsed time = 7803.7290 seconds.
01/17/15 01:54:09 v1.34.3, 
01/17/15 01:54:09 v1.34.3, 
01/17/15 01:54:09 v1.34.3, Total factoring time = 7803.7297 seconds
--
Sat Jan 17 01:47:45 2015  
Sat Jan 17 01:47:45 2015  commencing relation filtering
Sat Jan 17 01:47:45 2015  estimated available RAM is 15987.3 MB
Sat Jan 17 01:47:45 2015  commencing duplicate removal, pass 1
Sat Jan 17 01:48:13 2015  found 1705620 hash collisions in 10099141 relations
Sat Jan 17 01:48:21 2015  added 357427 free relations
Sat Jan 17 01:48:21 2015  commencing duplicate removal, pass 2
Sat Jan 17 01:48:29 2015  found 1391966 duplicates and 9064602 unique relations
Sat Jan 17 01:48:29 2015  memory use: 45.3 MB
Sat Jan 17 01:48:29 2015  reading ideals above 100000
Sat Jan 17 01:48:29 2015  commencing singleton removal, initial pass
Sat Jan 17 01:49:08 2015  memory use: 188.2 MB
Sat Jan 17 01:49:08 2015  reading all ideals from disk
Sat Jan 17 01:49:08 2015  memory use: 304.6 MB
Sat Jan 17 01:49:08 2015  keeping 9481473 ideals with weight <= 200, target excess is 46896
Sat Jan 17 01:49:09 2015  commencing in-memory singleton removal
Sat Jan 17 01:49:09 2015  begin with 9064602 relations and 9481473 unique ideals
Sat Jan 17 01:49:11 2015  reduce to 4125821 relations and 3365308 ideals in 13 passes
Sat Jan 17 01:49:11 2015  max relations containing the same ideal: 122
Sat Jan 17 01:49:12 2015  removing 1205673 relations and 852616 ideals in 353057 cliques
Sat Jan 17 01:49:13 2015  commencing in-memory singleton removal
Sat Jan 17 01:49:13 2015  begin with 2920148 relations and 3365308 unique ideals
Sat Jan 17 01:49:13 2015  reduce to 2683255 relations and 2250722 ideals in 8 passes
Sat Jan 17 01:49:13 2015  max relations containing the same ideal: 91
Sat Jan 17 01:49:14 2015  removing 1007583 relations and 654526 ideals in 353057 cliques
Sat Jan 17 01:49:14 2015  commencing in-memory singleton removal
Sat Jan 17 01:49:14 2015  begin with 1675672 relations and 2250722 unique ideals
Sat Jan 17 01:49:15 2015  reduce to 1470620 relations and 1363420 ideals in 8 passes
Sat Jan 17 01:49:15 2015  max relations containing the same ideal: 59
Sat Jan 17 01:49:15 2015  removing 216651 relations and 163851 ideals in 52800 cliques
Sat Jan 17 01:49:15 2015  commencing in-memory singleton removal
Sat Jan 17 01:49:15 2015  begin with 1253969 relations and 1363420 unique ideals
Sat Jan 17 01:49:15 2015  reduce to 1230070 relations and 1174822 ideals in 7 passes
Sat Jan 17 01:49:15 2015  max relations containing the same ideal: 55
Sat Jan 17 01:49:16 2015  relations with 0 large ideals: 1110
Sat Jan 17 01:49:16 2015  relations with 1 large ideals: 857
Sat Jan 17 01:49:16 2015  relations with 2 large ideals: 11344
Sat Jan 17 01:49:16 2015  relations with 3 large ideals: 67950
Sat Jan 17 01:49:16 2015  relations with 4 large ideals: 204927
Sat Jan 17 01:49:16 2015  relations with 5 large ideals: 341688
Sat Jan 17 01:49:16 2015  relations with 6 large ideals: 341958
Sat Jan 17 01:49:16 2015  relations with 7+ large ideals: 260236
Sat Jan 17 01:49:16 2015  commencing 2-way merge
Sat Jan 17 01:49:16 2015  reduce to 774472 relation sets and 719224 unique ideals
Sat Jan 17 01:49:16 2015  commencing full merge
Sat Jan 17 01:49:23 2015  memory use: 91.8 MB
Sat Jan 17 01:49:23 2015  found 401343 cycles, need 393424
Sat Jan 17 01:49:23 2015  weight of 393424 cycles is about 27623255 (70.21/cycle)
Sat Jan 17 01:49:23 2015  distribution of cycle lengths:
Sat Jan 17 01:49:23 2015  1 relations: 26820
Sat Jan 17 01:49:23 2015  2 relations: 36982
Sat Jan 17 01:49:23 2015  3 relations: 42169
Sat Jan 17 01:49:23 2015  4 relations: 42546
Sat Jan 17 01:49:23 2015  5 relations: 41640
Sat Jan 17 01:49:23 2015  6 relations: 38339
Sat Jan 17 01:49:23 2015  7 relations: 34714
Sat Jan 17 01:49:23 2015  8 relations: 29795
Sat Jan 17 01:49:23 2015  9 relations: 25177
Sat Jan 17 01:49:23 2015  10+ relations: 75242
Sat Jan 17 01:49:23 2015  heaviest cycle: 19 relations
Sat Jan 17 01:49:23 2015  commencing cycle optimization
Sat Jan 17 01:49:23 2015  start with 2453947 relations
Sat Jan 17 01:49:25 2015  pruned 75554 relations
Sat Jan 17 01:49:25 2015  memory use: 75.8 MB
Sat Jan 17 01:49:25 2015  distribution of cycle lengths:
Sat Jan 17 01:49:25 2015  1 relations: 26820
Sat Jan 17 01:49:25 2015  2 relations: 37741
Sat Jan 17 01:49:25 2015  3 relations: 43797
Sat Jan 17 01:49:25 2015  4 relations: 44034
Sat Jan 17 01:49:25 2015  5 relations: 43175
Sat Jan 17 01:49:25 2015  6 relations: 39596
Sat Jan 17 01:49:25 2015  7 relations: 35843
Sat Jan 17 01:49:25 2015  8 relations: 30157
Sat Jan 17 01:49:25 2015  9 relations: 25129
Sat Jan 17 01:49:25 2015  10+ relations: 67132
Sat Jan 17 01:49:25 2015  heaviest cycle: 19 relations
Sat Jan 17 01:49:26 2015  RelProcTime: 101
Sat Jan 17 01:49:26 2015  
Sat Jan 17 01:49:26 2015  commencing linear algebra
Sat Jan 17 01:49:26 2015  read 393424 cycles
Sat Jan 17 01:49:26 2015  cycles contain 1193691 unique relations
Sat Jan 17 01:49:35 2015  read 1193691 relations
Sat Jan 17 01:49:36 2015  using 20 quadratic characters above 134217650
Sat Jan 17 01:49:39 2015  building initial matrix
Sat Jan 17 01:49:45 2015  memory use: 147.3 MB
Sat Jan 17 01:49:46 2015  read 393424 cycles
Sat Jan 17 01:49:46 2015  matrix is 393245 x 393424 (117.1 MB) with weight 35078536 (89.16/col)
Sat Jan 17 01:49:46 2015  sparse part has weight 26368946 (67.02/col)
Sat Jan 17 01:49:47 2015  filtering completed in 2 passes
Sat Jan 17 01:49:47 2015  matrix is 393157 x 393336 (117.1 MB) with weight 35074699 (89.17/col)
Sat Jan 17 01:49:47 2015  sparse part has weight 26367161 (67.03/col)
Sat Jan 17 01:49:48 2015  matrix starts at (0, 0)
Sat Jan 17 01:49:48 2015  matrix is 393157 x 393336 (117.1 MB) with weight 35074699 (89.17/col)
Sat Jan 17 01:49:48 2015  sparse part has weight 26367161 (67.03/col)
Sat Jan 17 01:49:48 2015  saving the first 48 matrix rows for later
Sat Jan 17 01:49:48 2015  matrix includes 64 packed rows
Sat Jan 17 01:49:48 2015  matrix is 393109 x 393336 (110.4 MB) with weight 27745315 (70.54/col)
Sat Jan 17 01:49:48 2015  sparse part has weight 25018305 (63.61/col)
Sat Jan 17 01:49:48 2015  using block size 65536 for processor cache size 8192 kB
Sat Jan 17 01:49:49 2015  commencing Lanczos iteration (8 threads)
Sat Jan 17 01:49:49 2015  memory use: 106.3 MB
Sat Jan 17 01:49:56 2015  linear algebra at 3.1%, ETA 0h 3m
Sat Jan 17 01:53:32 2015  lanczos halted after 6219 iterations (dim = 393109)
Sat Jan 17 01:53:33 2015  recovered 40 nontrivial dependencies
Sat Jan 17 01:53:33 2015  BLanczosTime: 247
Sat Jan 17 01:53:33 2015  
Sat Jan 17 01:53:33 2015  commencing square root phase
Sat Jan 17 01:53:33 2015  reading relations for dependency 1
Sat Jan 17 01:53:33 2015  read 197072 cycles
Sat Jan 17 01:53:33 2015  cycles contain 596844 unique relations
Sat Jan 17 01:53:40 2015  read 596844 relations
Sat Jan 17 01:53:41 2015  multiplying 596844 relations
Sat Jan 17 01:53:53 2015  multiply complete, coefficients have about 19.71 million bits
Sat Jan 17 01:53:53 2015  initial square root is modulo 458191
Sat Jan 17 01:54:09 2015  sqrtTime: 36
--
n: 73894134057111255426331664313026127409776546659166901641054800049664595804533968820727998704935625868797785729881542156771597861623
m: 500000000000000000000000000000
deg: 5
c5: 11056
c0: -35
skew: 0.32
# Murphy_E = 8.303e-10
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:36:51 UTC 2015 年 1 月 9 日 (金) 1 時 36 分 51 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:03:40 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 40 秒 (日本時間)

691×10151-79

c132

name 名前Cyp
date 日付January 16, 2015 19:30:20 UTC 2015 年 1 月 17 日 (土) 4 時 30 分 20 秒 (日本時間)
composite number 合成数
606245498998053736909474628939087884473891581260065065998346343524041244058269981316062966942382917541601641310493604477070392890399<132>
prime factors 素因数
14659919075815632935066257945933673411595938419578216031727383<62>
41353945807120636968061970860799293906165759758089472695660834683037753<71>
factorization results 素因数分解の結果
01/16/15 18:04:27 v1.34.3, 
01/16/15 18:04:27 v1.34.3, ****************************
01/16/15 18:04:27 v1.34.3, Starting factorization of 606245498998053736909474628939087884473891581260065065998346343524041244058269981316062966942382917541601641310493604477070392890399
01/16/15 18:04:27 v1.34.3, using pretesting plan: none
01/16/15 18:04:27 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/16/15 18:04:27 v1.34.3, ****************************
01/16/15 18:04:27 v1.34.3, nfs: commencing nfs on c132: 606245498998053736909474628939087884473891581260065065998346343524041244058269981316062966942382917541601641310493604477070392890399
01/16/15 18:04:27 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/16/15 18:04:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 18:05:18 v1.34.3, nfs: commencing lattice sieving with 8 threads
[148 lines snipped]
01/16/15 20:21:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 20:22:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 20:23:03 v1.34.3, nfs: commencing msieve filtering
01/16/15 20:24:44 v1.34.3, nfs: commencing msieve linear algebra
01/16/15 20:29:40 v1.34.3, nfs: commencing msieve sqrt
01/16/15 20:30:19 v1.34.3, prp71 = 41353945807120636968061970860799293906165759758089472695660834683037753
01/16/15 20:30:19 v1.34.3, prp62 = 14659919075815632935066257945933673411595938419578216031727383
01/16/15 20:30:19 v1.34.3, NFS elapsed time = 8751.5834 seconds.
01/16/15 20:30:19 v1.34.3, 
01/16/15 20:30:19 v1.34.3, 
01/16/15 20:30:19 v1.34.3, Total factoring time = 8751.5840 seconds
--
Fri Jan 16 20:23:03 2015  
Fri Jan 16 20:23:03 2015  commencing relation filtering
Fri Jan 16 20:23:03 2015  estimated available RAM is 15987.3 MB
Fri Jan 16 20:23:03 2015  commencing duplicate removal, pass 1
Fri Jan 16 20:23:30 2015  found 1711498 hash collisions in 10041214 relations
Fri Jan 16 20:23:38 2015  added 355417 free relations
Fri Jan 16 20:23:38 2015  commencing duplicate removal, pass 2
Fri Jan 16 20:23:46 2015  found 1409688 duplicates and 8986943 unique relations
Fri Jan 16 20:23:46 2015  memory use: 45.3 MB
Fri Jan 16 20:23:46 2015  reading ideals above 100000
Fri Jan 16 20:23:46 2015  commencing singleton removal, initial pass
Fri Jan 16 20:24:24 2015  memory use: 188.2 MB
Fri Jan 16 20:24:24 2015  reading all ideals from disk
Fri Jan 16 20:24:24 2015  memory use: 304.2 MB
Fri Jan 16 20:24:24 2015  keeping 9477391 ideals with weight <= 200, target excess is 46273
Fri Jan 16 20:24:25 2015  commencing in-memory singleton removal
Fri Jan 16 20:24:25 2015  begin with 8986943 relations and 9477391 unique ideals
Fri Jan 16 20:24:27 2015  reduce to 4041826 relations and 3354278 ideals in 13 passes
Fri Jan 16 20:24:27 2015  max relations containing the same ideal: 117
Fri Jan 16 20:24:29 2015  removing 1131904 relations and 814968 ideals in 316936 cliques
Fri Jan 16 20:24:29 2015  commencing in-memory singleton removal
Fri Jan 16 20:24:29 2015  begin with 2909922 relations and 3354278 unique ideals
Fri Jan 16 20:24:30 2015  reduce to 2688622 relations and 2296033 ideals in 9 passes
Fri Jan 16 20:24:30 2015  max relations containing the same ideal: 88
Fri Jan 16 20:24:30 2015  removing 939070 relations and 622134 ideals in 316936 cliques
Fri Jan 16 20:24:31 2015  commencing in-memory singleton removal
Fri Jan 16 20:24:31 2015  begin with 1749552 relations and 2296033 unique ideals
Fri Jan 16 20:24:31 2015  reduce to 1559723 relations and 1460905 ideals in 10 passes
Fri Jan 16 20:24:31 2015  max relations containing the same ideal: 61
Fri Jan 16 20:24:31 2015  removing 197082 relations and 151941 ideals in 45141 cliques
Fri Jan 16 20:24:32 2015  commencing in-memory singleton removal
Fri Jan 16 20:24:32 2015  begin with 1362641 relations and 1460905 unique ideals
Fri Jan 16 20:24:32 2015  reduce to 1344925 relations and 1290744 ideals in 7 passes
Fri Jan 16 20:24:32 2015  max relations containing the same ideal: 55
Fri Jan 16 20:24:32 2015  relations with 0 large ideals: 1094
Fri Jan 16 20:24:32 2015  relations with 1 large ideals: 690
Fri Jan 16 20:24:32 2015  relations with 2 large ideals: 10209
Fri Jan 16 20:24:32 2015  relations with 3 large ideals: 63348
Fri Jan 16 20:24:32 2015  relations with 4 large ideals: 202050
Fri Jan 16 20:24:32 2015  relations with 5 large ideals: 360557
Fri Jan 16 20:24:32 2015  relations with 6 large ideals: 385927
Fri Jan 16 20:24:32 2015  relations with 7+ large ideals: 321050
Fri Jan 16 20:24:32 2015  commencing 2-way merge
Fri Jan 16 20:24:33 2015  reduce to 844590 relation sets and 790409 unique ideals
Fri Jan 16 20:24:33 2015  commencing full merge
Fri Jan 16 20:24:40 2015  memory use: 101.1 MB
Fri Jan 16 20:24:40 2015  found 438133 cycles, need 430609
Fri Jan 16 20:24:40 2015  weight of 430609 cycles is about 30311828 (70.39/cycle)
Fri Jan 16 20:24:40 2015  distribution of cycle lengths:
Fri Jan 16 20:24:40 2015  1 relations: 30337
Fri Jan 16 20:24:40 2015  2 relations: 40721
Fri Jan 16 20:24:40 2015  3 relations: 46667
Fri Jan 16 20:24:40 2015  4 relations: 46265
Fri Jan 16 20:24:40 2015  5 relations: 45257
Fri Jan 16 20:24:40 2015  6 relations: 41860
Fri Jan 16 20:24:40 2015  7 relations: 37695
Fri Jan 16 20:24:40 2015  8 relations: 32430
Fri Jan 16 20:24:40 2015  9 relations: 27042
Fri Jan 16 20:24:40 2015  10+ relations: 82335
Fri Jan 16 20:24:40 2015  heaviest cycle: 20 relations
Fri Jan 16 20:24:40 2015  commencing cycle optimization
Fri Jan 16 20:24:41 2015  start with 2679611 relations
Fri Jan 16 20:24:43 2015  pruned 80569 relations
Fri Jan 16 20:24:43 2015  memory use: 83.0 MB
Fri Jan 16 20:24:43 2015  distribution of cycle lengths:
Fri Jan 16 20:24:43 2015  1 relations: 30337
Fri Jan 16 20:24:43 2015  2 relations: 41568
Fri Jan 16 20:24:43 2015  3 relations: 48470
Fri Jan 16 20:24:43 2015  4 relations: 47749
Fri Jan 16 20:24:43 2015  5 relations: 47067
Fri Jan 16 20:24:43 2015  6 relations: 43200
Fri Jan 16 20:24:43 2015  7 relations: 38457
Fri Jan 16 20:24:43 2015  8 relations: 32792
Fri Jan 16 20:24:43 2015  9 relations: 27295
Fri Jan 16 20:24:43 2015  10+ relations: 73674
Fri Jan 16 20:24:43 2015  heaviest cycle: 20 relations
Fri Jan 16 20:24:44 2015  RelProcTime: 101
Fri Jan 16 20:24:44 2015  
Fri Jan 16 20:24:44 2015  commencing linear algebra
Fri Jan 16 20:24:44 2015  read 430609 cycles
Fri Jan 16 20:24:44 2015  cycles contain 1310737 unique relations
Fri Jan 16 20:24:53 2015  read 1310737 relations
Fri Jan 16 20:24:54 2015  using 20 quadratic characters above 134212544
Fri Jan 16 20:24:58 2015  building initial matrix
Fri Jan 16 20:25:04 2015  memory use: 163.2 MB
Fri Jan 16 20:25:05 2015  read 430609 cycles
Fri Jan 16 20:25:05 2015  matrix is 430432 x 430609 (128.4 MB) with weight 38638091 (89.73/col)
Fri Jan 16 20:25:05 2015  sparse part has weight 28935600 (67.20/col)
Fri Jan 16 20:25:06 2015  filtering completed in 2 passes
Fri Jan 16 20:25:06 2015  matrix is 430359 x 430536 (128.4 MB) with weight 38635033 (89.74/col)
Fri Jan 16 20:25:06 2015  sparse part has weight 28934268 (67.21/col)
Fri Jan 16 20:25:07 2015  matrix starts at (0, 0)
Fri Jan 16 20:25:07 2015  matrix is 430359 x 430536 (128.4 MB) with weight 38635033 (89.74/col)
Fri Jan 16 20:25:07 2015  sparse part has weight 28934268 (67.21/col)
Fri Jan 16 20:25:07 2015  saving the first 48 matrix rows for later
Fri Jan 16 20:25:07 2015  matrix includes 64 packed rows
Fri Jan 16 20:25:07 2015  matrix is 430311 x 430536 (121.1 MB) with weight 30420786 (70.66/col)
Fri Jan 16 20:25:07 2015  sparse part has weight 27441315 (63.74/col)
Fri Jan 16 20:25:07 2015  using block size 65536 for processor cache size 8192 kB
Fri Jan 16 20:25:08 2015  commencing Lanczos iteration (8 threads)
Fri Jan 16 20:25:08 2015  memory use: 116.6 MB
Fri Jan 16 20:25:16 2015  linear algebra at 2.8%, ETA 0h 4m
Fri Jan 16 20:29:40 2015  lanczos halted after 6806 iterations (dim = 430309)
Fri Jan 16 20:29:40 2015  recovered 37 nontrivial dependencies
Fri Jan 16 20:29:40 2015  BLanczosTime: 296
Fri Jan 16 20:29:40 2015  
Fri Jan 16 20:29:40 2015  commencing square root phase
Fri Jan 16 20:29:40 2015  reading relations for dependency 1
Fri Jan 16 20:29:40 2015  read 215157 cycles
Fri Jan 16 20:29:40 2015  cycles contain 655070 unique relations
Fri Jan 16 20:29:48 2015  read 655070 relations
Fri Jan 16 20:29:49 2015  multiplying 655070 relations
Fri Jan 16 20:30:02 2015  multiply complete, coefficients have about 21.12 million bits
Fri Jan 16 20:30:02 2015  initial square root is modulo 1167701
Fri Jan 16 20:30:19 2015  sqrtTime: 39
--
n: 606245498998053736909474628939087884473891581260065065998346343524041244058269981316062966942382917541601641310493604477070392890399
m: 1000000000000000000000000000000
deg: 5
c5: 6910
c0: -7
skew: 0.25
# Murphy_E = 7.674e-10
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
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
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:03:41 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 41 秒 (日本時間)

691×10155-79

c146

name 名前Cyp
date 日付January 13, 2015 13:31:07 UTC 2015 年 1 月 13 日 (火) 22 時 31 分 7 秒 (日本時間)
composite number 合成数
36325634861338583571225049272567683027363510850060665261482746287738486149252370003361545825653265974083283336985668557618191948984560956348688763<146>
prime factors 素因数
6735422219192606797649002995317609194669461609537069218052614939632043<70>
5393223123834549344728573489233288404036906938318335907085517006310888925041<76>
factorization results 素因数分解の結果
01/13/15 11:57:41 v1.34.3, 
01/13/15 11:57:41 v1.34.3, ****************************
01/13/15 11:57:41 v1.34.3, Starting factorization of 36325634861338583571225049272567683027363510850060665261482746287738486149252370003361545825653265974083283336985668557618191948984560956348688763
01/13/15 11:57:41 v1.34.3, using pretesting plan: none
01/13/15 11:57:41 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/13/15 11:57:41 v1.34.3, ****************************
01/13/15 11:57:41 v1.34.3, nfs: commencing nfs on c146: 36325634861338583571225049272567683027363510850060665261482746287738486149252370003361545825653265974083283336985668557618191948984560956348688763
01/13/15 11:57:41 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/13/15 11:57:41 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/13/15 12:02:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
[29 lines snipped]
01/13/15 14:15:59 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/13/15 14:20:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/13/15 14:24:58 v1.34.3, nfs: commencing msieve filtering
01/13/15 14:26:48 v1.34.3, nfs: commencing msieve linear algebra
01/13/15 14:30:33 v1.34.3, nfs: commencing msieve sqrt
01/13/15 14:31:06 v1.34.3, prp76 = 5393223123834549344728573489233288404036906938318335907085517006310888925041
01/13/15 14:31:06 v1.34.3, prp70 = 6735422219192606797649002995317609194669461609537069218052614939632043
01/13/15 14:31:06 v1.34.3, NFS elapsed time = 9204.5489 seconds.
01/13/15 14:31:06 v1.34.3, 
01/13/15 14:31:06 v1.34.3, 
01/13/15 14:31:06 v1.34.3, Total factoring time = 9204.5496 seconds
--
Tue Jan 13 14:24:58 2015  
Tue Jan 13 14:24:58 2015  commencing relation filtering
Tue Jan 13 14:24:58 2015  estimated available RAM is 15987.3 MB
Tue Jan 13 14:24:58 2015  commencing duplicate removal, pass 1
Tue Jan 13 14:25:28 2015  found 1299539 hash collisions in 10312674 relations
Tue Jan 13 14:25:36 2015  added 360677 free relations
Tue Jan 13 14:25:36 2015  commencing duplicate removal, pass 2
Tue Jan 13 14:25:44 2015  found 796484 duplicates and 9876867 unique relations
Tue Jan 13 14:25:44 2015  memory use: 41.3 MB
Tue Jan 13 14:25:44 2015  reading ideals above 100000
Tue Jan 13 14:25:44 2015  commencing singleton removal, initial pass
Tue Jan 13 14:26:28 2015  memory use: 188.2 MB
Tue Jan 13 14:26:28 2015  reading all ideals from disk
Tue Jan 13 14:26:28 2015  memory use: 340.4 MB
Tue Jan 13 14:26:29 2015  keeping 9847192 ideals with weight <= 200, target excess is 52152
Tue Jan 13 14:26:29 2015  commencing in-memory singleton removal
Tue Jan 13 14:26:29 2015  begin with 9876867 relations and 9847192 unique ideals
Tue Jan 13 14:26:32 2015  reduce to 4980425 relations and 3875639 ideals in 11 passes
Tue Jan 13 14:26:32 2015  max relations containing the same ideal: 129
Tue Jan 13 14:26:33 2015  removing 1287963 relations and 887963 ideals in 400000 cliques
Tue Jan 13 14:26:34 2015  commencing in-memory singleton removal
Tue Jan 13 14:26:34 2015  begin with 3692462 relations and 3875639 unique ideals
Tue Jan 13 14:26:35 2015  reduce to 3476782 relations and 2751241 ideals in 8 passes
Tue Jan 13 14:26:35 2015  max relations containing the same ideal: 104
Tue Jan 13 14:26:36 2015  removing 1090884 relations and 690884 ideals in 400000 cliques
Tue Jan 13 14:26:36 2015  commencing in-memory singleton removal
Tue Jan 13 14:26:36 2015  begin with 2385898 relations and 2751241 unique ideals
Tue Jan 13 14:26:37 2015  reduce to 2203190 relations and 1857924 ideals in 8 passes
Tue Jan 13 14:26:37 2015  max relations containing the same ideal: 71
Tue Jan 13 14:26:37 2015  removing 777868 relations and 493099 ideals in 284769 cliques
Tue Jan 13 14:26:37 2015  commencing in-memory singleton removal
Tue Jan 13 14:26:37 2015  begin with 1425322 relations and 1857924 unique ideals
Tue Jan 13 14:26:38 2015  reduce to 1268435 relations and 1189062 ideals in 9 passes
Tue Jan 13 14:26:38 2015  max relations containing the same ideal: 53
Tue Jan 13 14:26:38 2015  removing 95060 relations and 76184 ideals in 18876 cliques
Tue Jan 13 14:26:38 2015  commencing in-memory singleton removal
Tue Jan 13 14:26:38 2015  begin with 1173375 relations and 1189062 unique ideals
Tue Jan 13 14:26:38 2015  reduce to 1167003 relations and 1106403 ideals in 6 passes
Tue Jan 13 14:26:38 2015  max relations containing the same ideal: 48
Tue Jan 13 14:26:38 2015  relations with 0 large ideals: 1175
Tue Jan 13 14:26:38 2015  relations with 1 large ideals: 779
Tue Jan 13 14:26:38 2015  relations with 2 large ideals: 10888
Tue Jan 13 14:26:38 2015  relations with 3 large ideals: 65177
Tue Jan 13 14:26:38 2015  relations with 4 large ideals: 192383
Tue Jan 13 14:26:38 2015  relations with 5 large ideals: 318661
Tue Jan 13 14:26:38 2015  relations with 6 large ideals: 322236
Tue Jan 13 14:26:38 2015  relations with 7+ large ideals: 255704
Tue Jan 13 14:26:38 2015  commencing 2-way merge
Tue Jan 13 14:26:39 2015  reduce to 735392 relation sets and 674792 unique ideals
Tue Jan 13 14:26:39 2015  commencing full merge
Tue Jan 13 14:26:45 2015  memory use: 85.8 MB
Tue Jan 13 14:26:45 2015  found 377070 cycles, need 368992
Tue Jan 13 14:26:45 2015  weight of 368992 cycles is about 26004803 (70.48/cycle)
Tue Jan 13 14:26:45 2015  distribution of cycle lengths:
Tue Jan 13 14:26:45 2015  1 relations: 32303
Tue Jan 13 14:26:45 2015  2 relations: 35924
Tue Jan 13 14:26:45 2015  3 relations: 39684
Tue Jan 13 14:26:45 2015  4 relations: 39900
Tue Jan 13 14:26:45 2015  5 relations: 38983
Tue Jan 13 14:26:45 2015  6 relations: 36142
Tue Jan 13 14:26:45 2015  7 relations: 31405
Tue Jan 13 14:26:45 2015  8 relations: 26319
Tue Jan 13 14:26:45 2015  9 relations: 21663
Tue Jan 13 14:26:45 2015  10+ relations: 66669
Tue Jan 13 14:26:45 2015  heaviest cycle: 19 relations
Tue Jan 13 14:26:45 2015  commencing cycle optimization
Tue Jan 13 14:26:45 2015  start with 2228669 relations
Tue Jan 13 14:26:47 2015  pruned 70984 relations
Tue Jan 13 14:26:47 2015  memory use: 70.3 MB
Tue Jan 13 14:26:47 2015  distribution of cycle lengths:
Tue Jan 13 14:26:47 2015  1 relations: 32303
Tue Jan 13 14:26:47 2015  2 relations: 36771
Tue Jan 13 14:26:47 2015  3 relations: 41079
Tue Jan 13 14:26:47 2015  4 relations: 41423
Tue Jan 13 14:26:47 2015  5 relations: 40632
Tue Jan 13 14:26:47 2015  6 relations: 37284
Tue Jan 13 14:26:47 2015  7 relations: 32227
Tue Jan 13 14:26:47 2015  8 relations: 26477
Tue Jan 13 14:26:47 2015  9 relations: 21790
Tue Jan 13 14:26:47 2015  10+ relations: 59006
Tue Jan 13 14:26:47 2015  heaviest cycle: 19 relations
Tue Jan 13 14:26:48 2015  RelProcTime: 110
Tue Jan 13 14:26:48 2015  
Tue Jan 13 14:26:48 2015  commencing linear algebra
Tue Jan 13 14:26:48 2015  read 368992 cycles
Tue Jan 13 14:26:48 2015  cycles contain 1131442 unique relations
Tue Jan 13 14:26:57 2015  read 1131442 relations
Tue Jan 13 14:26:57 2015  using 20 quadratic characters above 134215010
Tue Jan 13 14:27:01 2015  building initial matrix
Tue Jan 13 14:27:07 2015  memory use: 142.7 MB
Tue Jan 13 14:27:07 2015  read 368992 cycles
Tue Jan 13 14:27:07 2015  matrix is 368815 x 368992 (109.9 MB) with weight 33232039 (90.06/col)
Tue Jan 13 14:27:07 2015  sparse part has weight 24751291 (67.08/col)
Tue Jan 13 14:27:09 2015  filtering completed in 2 passes
Tue Jan 13 14:27:09 2015  matrix is 368667 x 368844 (109.9 MB) with weight 33226343 (90.08/col)
Tue Jan 13 14:27:09 2015  sparse part has weight 24748920 (67.10/col)
Tue Jan 13 14:27:10 2015  matrix starts at (0, 0)
Tue Jan 13 14:27:10 2015  matrix is 368667 x 368844 (109.9 MB) with weight 33226343 (90.08/col)
Tue Jan 13 14:27:10 2015  sparse part has weight 24748920 (67.10/col)
Tue Jan 13 14:27:10 2015  saving the first 48 matrix rows for later
Tue Jan 13 14:27:10 2015  matrix includes 64 packed rows
Tue Jan 13 14:27:10 2015  matrix is 368619 x 368844 (104.1 MB) with weight 26297105 (71.30/col)
Tue Jan 13 14:27:10 2015  sparse part has weight 23601220 (63.99/col)
Tue Jan 13 14:27:10 2015  using block size 65536 for processor cache size 8192 kB
Tue Jan 13 14:27:10 2015  commencing Lanczos iteration (8 threads)
Tue Jan 13 14:27:10 2015  memory use: 99.9 MB
Tue Jan 13 14:27:17 2015  linear algebra at 3.3%, ETA 0h 2m
Tue Jan 13 14:30:32 2015  lanczos halted after 5831 iterations (dim = 368616)
Tue Jan 13 14:30:33 2015  recovered 34 nontrivial dependencies
Tue Jan 13 14:30:33 2015  BLanczosTime: 225
Tue Jan 13 14:30:33 2015  
Tue Jan 13 14:30:33 2015  commencing square root phase
Tue Jan 13 14:30:33 2015  reading relations for dependency 1
Tue Jan 13 14:30:33 2015  read 184599 cycles
Tue Jan 13 14:30:33 2015  cycles contain 566910 unique relations
Tue Jan 13 14:30:41 2015  read 566910 relations
Tue Jan 13 14:30:42 2015  multiplying 566910 relations
Tue Jan 13 14:30:52 2015  multiply complete, coefficients have about 17.03 million bits
Tue Jan 13 14:30:52 2015  initial square root is modulo 77761
Tue Jan 13 14:31:06 2015  sqrtTime: 33
--
n: 36325634861338583571225049272567683027363510850060665261482746287738486149252370003361545825653265974083283336985668557618191948984560956348688763
m: 10000000000000000000000000000000
deg: 5
c5: 691
c0: -7
skew: 0.40
# Murphy_E = 7.158e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
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
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:03:41 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 41 秒 (日本時間)

691×10156-79

c156

name 名前Cyp
date 日付January 12, 2015 04:28:15 UTC 2015 年 1 月 12 日 (月) 13 時 28 分 15 秒 (日本時間)
composite number 合成数
155735857561415370745999549244985350462023890015776425512733829163849447825107054315979265269326121253098940725715573585756141537074599954924498535046202389<156>
prime factors 素因数
411654520105126389533476575062733733469<39>
378316889418933823590353215811571106715775494867283895589599480596215293516778271930218095152964305966650968383590681<117>
factorization results 素因数分解の結果
01/12/15 01:59:21 v1.34.3, 
01/12/15 01:59:21 v1.34.3, ****************************
01/12/15 01:59:21 v1.34.3, Starting factorization of 155735857561415370745999549244985350462023890015776425512733829163849447825107054315979265269326121253098940725715573585756141537074599954924498535046202389
01/12/15 01:59:21 v1.34.3, using pretesting plan: none
01/12/15 01:59:21 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/12/15 01:59:21 v1.34.3, ****************************
01/12/15 01:59:21 v1.34.3, nfs: commencing nfs on c156: 155735857561415370745999549244985350462023890015776425512733829163849447825107054315979265269326121253098940725715573585756141537074599954924498535046202389
01/12/15 01:59:21 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/12/15 01:59:21 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/12/15 02:03:36 v1.34.3, nfs: commencing lattice sieving with 8 threads
[43 lines snipped]
01/12/15 05:11:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/12/15 05:16:04 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/12/15 05:20:22 v1.34.3, nfs: commencing msieve filtering
01/12/15 05:22:07 v1.34.3, nfs: commencing msieve linear algebra
01/12/15 05:27:31 v1.34.3, nfs: commencing msieve sqrt
01/12/15 05:28:14 v1.34.3, prp117 = 378316889418933823590353215811571106715775494867283895589599480596215293516778271930218095152964305966650968383590681
01/12/15 05:28:14 v1.34.3, prp39 = 411654520105126389533476575062733733469
01/12/15 05:28:14 v1.34.3, NFS elapsed time = 12532.3642 seconds.
01/12/15 05:28:14 v1.34.3, 
01/12/15 05:28:14 v1.34.3, 
01/12/15 05:28:14 v1.34.3, Total factoring time = 12532.3654 seconds
--
Mon Jan 12 05:20:22 2015  
Mon Jan 12 05:20:22 2015  commencing relation filtering
Mon Jan 12 05:20:22 2015  estimated available RAM is 15987.3 MB
Mon Jan 12 05:20:22 2015  commencing duplicate removal, pass 1
Mon Jan 12 05:20:49 2015  found 1811814 hash collisions in 10110287 relations
Mon Jan 12 05:20:57 2015  added 358796 free relations
Mon Jan 12 05:20:57 2015  commencing duplicate removal, pass 2
Mon Jan 12 05:21:05 2015  found 989682 duplicates and 9479401 unique relations
Mon Jan 12 05:21:05 2015  memory use: 70.6 MB
Mon Jan 12 05:21:05 2015  reading ideals above 100000
Mon Jan 12 05:21:05 2015  commencing singleton removal, initial pass
Mon Jan 12 05:21:46 2015  memory use: 188.2 MB
Mon Jan 12 05:21:46 2015  reading all ideals from disk
Mon Jan 12 05:21:46 2015  memory use: 331.9 MB
Mon Jan 12 05:21:46 2015  keeping 9744493 ideals with weight <= 200, target excess is 51262
Mon Jan 12 05:21:47 2015  commencing in-memory singleton removal
Mon Jan 12 05:21:47 2015  begin with 9479401 relations and 9744493 unique ideals
Mon Jan 12 05:21:51 2015  reduce to 4561720 relations and 3715295 ideals in 14 passes
Mon Jan 12 05:21:51 2015  max relations containing the same ideal: 127
Mon Jan 12 05:21:52 2015  removing 1304264 relations and 910783 ideals in 393481 cliques
Mon Jan 12 05:21:52 2015  commencing in-memory singleton removal
Mon Jan 12 05:21:52 2015  begin with 3257456 relations and 3715295 unique ideals
Mon Jan 12 05:21:53 2015  reduce to 3010134 relations and 2531603 ideals in 8 passes
Mon Jan 12 05:21:53 2015  max relations containing the same ideal: 92
Mon Jan 12 05:21:54 2015  removing 1104282 relations and 710801 ideals in 393481 cliques
Mon Jan 12 05:21:54 2015  commencing in-memory singleton removal
Mon Jan 12 05:21:54 2015  begin with 1905852 relations and 2531603 unique ideals
Mon Jan 12 05:21:55 2015  reduce to 1676131 relations and 1561426 ideals in 10 passes
Mon Jan 12 05:21:55 2015  max relations containing the same ideal: 65
Mon Jan 12 05:21:55 2015  removing 235199 relations and 179958 ideals in 55241 cliques
Mon Jan 12 05:21:55 2015  commencing in-memory singleton removal
Mon Jan 12 05:21:55 2015  begin with 1440932 relations and 1561426 unique ideals
Mon Jan 12 05:21:56 2015  reduce to 1412965 relations and 1352537 ideals in 8 passes
Mon Jan 12 05:21:56 2015  max relations containing the same ideal: 56
Mon Jan 12 05:21:56 2015  relations with 0 large ideals: 1218
Mon Jan 12 05:21:56 2015  relations with 1 large ideals: 549
Mon Jan 12 05:21:56 2015  relations with 2 large ideals: 8365
Mon Jan 12 05:21:56 2015  relations with 3 large ideals: 55636
Mon Jan 12 05:21:56 2015  relations with 4 large ideals: 186898
Mon Jan 12 05:21:56 2015  relations with 5 large ideals: 355002
Mon Jan 12 05:21:56 2015  relations with 6 large ideals: 410468
Mon Jan 12 05:21:56 2015  relations with 7+ large ideals: 394829
Mon Jan 12 05:21:56 2015  commencing 2-way merge
Mon Jan 12 05:21:56 2015  reduce to 878946 relation sets and 818518 unique ideals
Mon Jan 12 05:21:56 2015  commencing full merge
Mon Jan 12 05:22:04 2015  memory use: 106.6 MB
Mon Jan 12 05:22:04 2015  found 455449 cycles, need 446718
Mon Jan 12 05:22:04 2015  weight of 446718 cycles is about 31425834 (70.35/cycle)
Mon Jan 12 05:22:04 2015  distribution of cycle lengths:
Mon Jan 12 05:22:04 2015  1 relations: 40511
Mon Jan 12 05:22:04 2015  2 relations: 44701
Mon Jan 12 05:22:04 2015  3 relations: 48020
Mon Jan 12 05:22:04 2015  4 relations: 47718
Mon Jan 12 05:22:04 2015  5 relations: 46456
Mon Jan 12 05:22:04 2015  6 relations: 42834
Mon Jan 12 05:22:04 2015  7 relations: 37704
Mon Jan 12 05:22:04 2015  8 relations: 32402
Mon Jan 12 05:22:04 2015  9 relations: 26739
Mon Jan 12 05:22:04 2015  10+ relations: 79633
Mon Jan 12 05:22:04 2015  heaviest cycle: 20 relations
Mon Jan 12 05:22:04 2015  commencing cycle optimization
Mon Jan 12 05:22:05 2015  start with 2680062 relations
Mon Jan 12 05:22:07 2015  pruned 82018 relations
Mon Jan 12 05:22:07 2015  memory use: 85.0 MB
Mon Jan 12 05:22:07 2015  distribution of cycle lengths:
Mon Jan 12 05:22:07 2015  1 relations: 40511
Mon Jan 12 05:22:07 2015  2 relations: 45647
Mon Jan 12 05:22:07 2015  3 relations: 49850
Mon Jan 12 05:22:07 2015  4 relations: 49316
Mon Jan 12 05:22:07 2015  5 relations: 48359
Mon Jan 12 05:22:07 2015  6 relations: 43979
Mon Jan 12 05:22:07 2015  7 relations: 38690
Mon Jan 12 05:22:07 2015  8 relations: 32856
Mon Jan 12 05:22:07 2015  9 relations: 26623
Mon Jan 12 05:22:07 2015  10+ relations: 70887
Mon Jan 12 05:22:07 2015  heaviest cycle: 19 relations
Mon Jan 12 05:22:07 2015  RelProcTime: 105
Mon Jan 12 05:22:07 2015  
Mon Jan 12 05:22:07 2015  commencing linear algebra
Mon Jan 12 05:22:07 2015  read 446718 cycles
Mon Jan 12 05:22:08 2015  cycles contain 1370777 unique relations
Mon Jan 12 05:22:17 2015  read 1370777 relations
Mon Jan 12 05:22:18 2015  using 20 quadratic characters above 134216000
Mon Jan 12 05:22:22 2015  building initial matrix
Mon Jan 12 05:22:31 2015  memory use: 172.3 MB
Mon Jan 12 05:22:31 2015  read 446718 cycles
Mon Jan 12 05:22:31 2015  matrix is 446544 x 446718 (133.0 MB) with weight 40009996 (89.56/col)
Mon Jan 12 05:22:31 2015  sparse part has weight 29963542 (67.07/col)
Mon Jan 12 05:22:33 2015  filtering completed in 2 passes
Mon Jan 12 05:22:33 2015  matrix is 446411 x 446587 (133.0 MB) with weight 40004532 (89.58/col)
Mon Jan 12 05:22:33 2015  sparse part has weight 29961188 (67.09/col)
Mon Jan 12 05:22:33 2015  matrix starts at (0, 0)
Mon Jan 12 05:22:33 2015  matrix is 446411 x 446587 (133.0 MB) with weight 40004532 (89.58/col)
Mon Jan 12 05:22:33 2015  sparse part has weight 29961188 (67.09/col)
Mon Jan 12 05:22:33 2015  saving the first 48 matrix rows for later
Mon Jan 12 05:22:34 2015  matrix includes 64 packed rows
Mon Jan 12 05:22:34 2015  matrix is 446363 x 446587 (125.6 MB) with weight 31459879 (70.45/col)
Mon Jan 12 05:22:34 2015  sparse part has weight 28455648 (63.72/col)
Mon Jan 12 05:22:34 2015  using block size 65536 for processor cache size 8192 kB
Mon Jan 12 05:22:35 2015  commencing Lanczos iteration (8 threads)
Mon Jan 12 05:22:35 2015  memory use: 121.4 MB
Mon Jan 12 05:22:43 2015  linear algebra at 2.7%, ETA 0h 4m
Mon Jan 12 05:27:31 2015  lanczos halted after 7060 iterations (dim = 446363)
Mon Jan 12 05:27:31 2015  recovered 37 nontrivial dependencies
Mon Jan 12 05:27:31 2015  BLanczosTime: 324
Mon Jan 12 05:27:31 2015  
Mon Jan 12 05:27:31 2015  commencing square root phase
Mon Jan 12 05:27:31 2015  reading relations for dependency 1
Mon Jan 12 05:27:31 2015  read 223359 cycles
Mon Jan 12 05:27:32 2015  cycles contain 684218 unique relations
Mon Jan 12 05:27:39 2015  read 684218 relations
Mon Jan 12 05:27:41 2015  multiplying 684218 relations
Mon Jan 12 05:27:55 2015  multiply complete, coefficients have about 22.67 million bits
Mon Jan 12 05:27:55 2015  initial square root is modulo 3245951
Mon Jan 12 05:28:14 2015  sqrtTime: 43
--
n: 155735857561415370745999549244985350462023890015776425512733829163849447825107054315979265269326121253098940725715573585756141537074599954924498535046202389
m: 10000000000000000000000000000000
deg: 5
c5: 6910
c0: -7
skew: 0.25
# Murphy_E = 4.934e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
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
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:03:42 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 42 秒 (日本時間)

691×10157-79

c155

name 名前Jo Yeong Uk
date 日付January 19, 2015 13:24:19 UTC 2015 年 1 月 19 日 (月) 22 時 24 分 19 秒 (日本時間)
composite number 合成数
17902342849296471606262451973273434322236989711982133928178184013285559208566180375819660451367029117862703797835655974485922955156056095734786247062694471<155>
prime factors 素因数
46898104744948530899099323718743976659<38>
381728493009619142309453835081715379521507793892332310087760814756957551439594431872903674509650534252922026572395069<117>
factorization results 素因数分解の結果
Number: 76777_157
N=17902342849296471606262451973273434322236989711982133928178184013285559208566180375819660451367029117862703797835655974485922955156056095734786247062694471
  ( 155 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=46898104744948530899099323718743976659
 r2=381728493009619142309453835081715379521507793892332310087760814756957551439594431872903674509650534252922026572395069
Version: 
Total time: 13.07 hours.
Scaled time: 68.75 units (timescale=5.258).
Factorization parameters were as follows:
n: 17902342849296471606262451973273434322236989711982133928178184013285559208566180375819660451367029117862703797835655974485922955156056095734786247062694471
m: 10000000000000000000000000000000
deg: 5
c5: 69100
c0: -7
skew: 0.16
# Murphy_E = 3.805e-10
type: snfs
lss: 1
rlim: 2550000
alim: 2550000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4

Factor base limits: 2550000/2550000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1275000, 3375001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8695111
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 626992 x 627240
Total sieving time: 11.96 hours.
Total relation processing time: 0.57 hours.
Matrix solve time: 0.36 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,2550000,2550000,27,27,50,50,2.4,2.4,75000
total time: 13.07 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:03:42 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 42 秒 (日本時間)

691×10158-79

c146

name 名前Jo Yeong Uk
date 日付January 21, 2015 11:57:05 UTC 2015 年 1 月 21 日 (水) 20 時 57 分 5 秒 (日本時間)
composite number 合成数
31108356202424747082804625402946908106964622548495829267697716295159601514337792798443021329569254092936096795331410658420515997666221802283084251<146>
prime factors 素因数
162470507939750582306407750964486718898126825843<48>
191470788125810196720243325445746903032070462427544808888105436689126682030705359311040424659518457<99>
factorization results 素因数分解の結果
Number: 76777_158
N=31108356202424747082804625402946908106964622548495829267697716295159601514337792798443021329569254092936096795331410658420515997666221802283084251
  ( 146 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=162470507939750582306407750964486718898126825843
 r2=191470788125810196720243325445746903032070462427544808888105436689126682030705359311040424659518457
Version: 
Total time: 14.85 hours.
Scaled time: 78.10 units (timescale=5.258).
Factorization parameters were as follows:
n: 31108356202424747082804625402946908106964622548495829267697716295159601514337792798443021329569254092936096795331410658420515997666221802283084251
m: 20000000000000000000000000000000
deg: 5
c5: 86375
c0: -28
skew: 0.20
# Murphy_E = 3.16e-10
type: snfs
lss: 1
rlim: 3150000
alim: 3150000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3150000/3150000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1575000, 3825001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9705819
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 731110 x 731358
Total sieving time: 13.54 hours.
Total relation processing time: 0.69 hours.
Matrix solve time: 0.50 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3150000,3150000,27,27,51,51,2.4,2.4,75000
total time: 14.85 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:03:43 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 43 秒 (日本時間)

691×10161-79

c158

name 名前Serge Batalov
date 日付January 9, 2015 03:49:43 UTC 2015 年 1 月 9 日 (金) 12 時 49 分 43 秒 (日本時間)
composite number 合成数
41231158822304445864562505183729265828797010830488622049898652498900601879448683914537533780014165379311743958680531315094959953267375412982862516461137395229<158>
prime factors 素因数
17372079470590916704032258010197347<35>
composite cofactor 合成数の残り
2373415277779750746864220324696543888006037619023111199239919286472105360001729740687512973741705174483547330336810872225407<124>
factorization results 素因数分解の結果
Input number is 41231158822304445864562505183729265828797010830488622049898652498900601879448683914537533780014165379311743958680531315094959953267375412982862516461137395229 (158 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2281341303
Step 1 took 11609ms
Step 2 took 9768ms
********** Factor found in step 2: 17372079470590916704032258010197347
Found probable prime factor of 35 digits: 17372079470590916704032258010197347
Composite cofactor 2373415277779750746864220324696543888006037619023111199239919286472105360001729740687512973741705174483547330336810872225407 has 124 digits

c124

name 名前Jo Yeong Uk
date 日付January 31, 2015 13:00:17 UTC 2015 年 1 月 31 日 (土) 22 時 0 分 17 秒 (日本時間)
composite number 合成数
2373415277779750746864220324696543888006037619023111199239919286472105360001729740687512973741705174483547330336810872225407<124>
prime factors 素因数
4542225431175145378839009778943627061222923327<46>
522522563827421214240200040963868033619951773134359942133867139197257368047041<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 2373415277779750746864220324696543888006037619023111199239919286472105360001729740687512973741705174483547330336810872225407 (124 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2676452646
Step 1 took 20304ms
Step 2 took 7486ms
********** Factor found in step 2: 4542225431175145378839009778943627061222923327
Found probable prime factor of 46 digits: 4542225431175145378839009778943627061222923327
Probable prime cofactor 522522563827421214240200040963868033619951773134359942133867139197257368047041 has 78 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:03:43 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 43 秒 (日本時間)
4511e6745 / 4409Pierre JammesJanuary 19, 2015 13:11:46 UTC 2015 年 1 月 19 日 (月) 22 時 11 分 46 秒 (日本時間)

691×10162-79

c145

name 名前Jo Yeong Uk
date 日付February 7, 2015 06:37:13 UTC 2015 年 2 月 7 日 (土) 15 時 37 分 13 秒 (日本時間)
composite number 合成数
1266135399100668781252906515554628048901925724852577980008983242707013855125314018088070413381828140368584678663061469741412284913626973227725061<145>
prime factors 素因数
1066132527860673664006165077183175320007<40>
1187596631763337651953821584210117296002676316651045565527280287803442642355072771067419185268529124480723<106>
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 1266135399100668781252906515554628048901925724852577980008983242707013855125314018088070413381828140368584678663061469741412284913626973227725061 (145 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4435429202
Step 1 took 6653ms
Step 2 took 2567ms
********** Factor found in step 2: 1066132527860673664006165077183175320007
Found probable prime factor of 40 digits: 1066132527860673664006165077183175320007
Probable prime cofactor 1187596631763337651953821584210117296002676316651045565527280287803442642355072771067419185268529124480723 has 106 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:03:44 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 44 秒 (日本時間)

691×10163-79

c135

name 名前Jo Yeong Uk
date 日付February 1, 2015 09:27:24 UTC 2015 年 2 月 1 日 (日) 18 時 27 分 24 秒 (日本時間)
composite number 合成数
538897705181418503577181446419807531734131026164998568190016475939009321795227023506825953847556380323921392381098539563955228068314033<135>
prime factors 素因数
6552903619994230738577192189340967151<37>
2439239473381196278352811992461284175877<40>
33714607989290226880433105593732225044582192167003075016979<59>
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 538897705181418503577181446419807531734131026164998568190016475939009321795227023506825953847556380323921392381098539563955228068314033 (135 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1187037791
Step 1 took 5750ms
Step 2 took 2284ms
********** Factor found in step 2: 6552903619994230738577192189340967151
Found probable prime factor of 37 digits: 6552903619994230738577192189340967151
Composite cofactor 82238002637049765751519498868558010374349184398260371176141468855568929268573853024299965797215583 has 98 digits

Number: 76777_163
N=82238002637049765751519498868558010374349184398260371176141468855568929268573853024299965797215583
  ( 98 digits)
Divisors found:
 r1=2439239473381196278352811992461284175877
 r2=33714607989290226880433105593732225044582192167003075016979
Version: 
Total time: 1.35 hours.
Scaled time: 7.07 units (timescale=5.250).
Factorization parameters were as follows:
name: 76777_163
n: 82238002637049765751519498868558010374349184398260371176141468855568929268573853024299965797215583
skew: 945.48
# norm 4.99e+13
c5: 4926600
c4: 5814348585
c3: -5627683902475
c2: -14352194242952731
c1: 1162509920709933268
c0: 1421514777149351178700
# alpha -6.22
Y1: 36177097799
Y0: -1755912774127638393
# Murphy_E 4.20e-09
# M 76448771876724113565072075831762174369492846316889624679343014015694488772047576278270486271938830
type: gnfs
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 25000
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 51/51
Sieved algebraic special-q in [500000, 875001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4059020
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 169820 x 170068
Polynomial selection time: 0.13 hours.
Total sieving time: 1.01 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,97,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1000000,1000000,26,26,51,51,2.5,2.5,25000
total time: 1.35 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.. 6799.88 BogoMIPS (lpj=3399941)
Total of 12 processors activated (81598.58 BogoMIPS).
software ソフトウェア
GMP-ECM v6.4.4 / 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:03:45 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 45 秒 (日本時間)

691×10165-79

c167

name 名前Serge Batalov
date 日付January 9, 2015 03:49:47 UTC 2015 年 1 月 9 日 (金) 12 時 49 分 47 秒 (日本時間)
composite number 合成数
76777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<167>
prime factors 素因数
6055318470536746916611241695587109573<37>
12679395501880539627117077250425420710279712000688603384471572165855890582892626276348547364553555388963727581790300586087557141949<131>
factorization results 素因数分解の結果
Input number is 76777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (167 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3389196040
Step 1 took 10986ms
Step 2 took 8723ms
********** Factor found in step 2: 6055318470536746916611241695587109573
Found probable prime factor of 37 digits: 6055318470536746916611241695587109573
Probable prime cofactor 12679395501880539627117077250425420710279712000688603384471572165855890582892626276348547364553555388963727581790300586087557141949 has 131 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:03:45 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 45 秒 (日本時間)

691×10167-79

c151

name 名前Jo Yeong Uk
date 日付March 22, 2015 01:29:25 UTC 2015 年 3 月 22 日 (日) 10 時 29 分 25 秒 (日本時間)
composite number 合成数
1512565095676173769585952488495270206174024154883004271689179013956215040119901246231057575317346282705568223072776353347815327882099283777975998256959<151>
prime factors 素因数
6294609627096178366556422520387526651181<40>
240295297926830842109052840749436150103438086625443644487394710333902371486134825269712655642002977114350358939<111>
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 1512565095676173769585952488495270206174024154883004271689179013956215040119901246231057575317346282705568223072776353347815327882099283777975998256959 (151 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2663689357
Step 1 took 24572ms
Step 2 took 2087ms
********** Factor found in step 2: 6294609627096178366556422520387526651181
Found probable prime factor of 40 digits: 6294609627096178366556422520387526651181
Probable prime cofactor 240295297926830842109052840749436150103438086625443644487394710333902371486134825269712655642002977114350358939 has 111 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:03:46 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 46 秒 (日本時間)
2350Ignacio SantosFebruary 14, 2015 12:59:34 UTC 2015 年 2 月 14 日 (土) 21 時 59 分 34 秒 (日本時間)

691×10168-79

c128

name 名前Jo Yeong Uk
date 日付April 4, 2015 14:21:48 UTC 2015 年 4 月 4 日 (土) 23 時 21 分 48 秒 (日本時間)
composite number 合成数
33304504727941567048788592279208650217455131213986498528999730614345295059964184114113438631169525097737032251481159495632278737<128>
prime factors 素因数
162581148983728548808034562503315005007174677<45>
204848501416820159398305422688890852503313015987061550526560309925469906158632728781<84>
factorization results 素因数分解の結果
Number: 76777_168
N=33304504727941567048788592279208650217455131213986498528999730614345295059964184114113438631169525097737032251481159495632278737
  ( 128 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=162581148983728548808034562503315005007174677
 r2=204848501416820159398305422688890852503313015987061550526560309925469906158632728781
Version: 
Total time: 35.48 hours.
Scaled time: 184.15 units (timescale=5.190).
Factorization parameters were as follows:
n: 33304504727941567048788592279208650217455131213986498528999730614345295059964184114113438631169525097737032251481159495632278737
m: 2000000000000000000000000000000000
deg: 5
c5: 86375
c0: -28
skew: 0.20
# Murphy_E = 1.284e-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, 7600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11749320
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1126699 x 1126947
Total sieving time: 32.75 hours.
Total relation processing time: 1.36 hours.
Matrix solve time: 1.29 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000
total time: 35.48 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:03:47 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 47 秒 (日本時間)
4511e6840 / 4409Pierre JammesJanuary 20, 2015 08:02:58 UTC 2015 年 1 月 20 日 (火) 17 時 2 分 58 秒 (日本時間)

691×10169-79

c168

name 名前Jo Yeong Uk
date 日付April 8, 2015 13:05:50 UTC 2015 年 4 月 8 日 (水) 22 時 5 分 50 秒 (日本時間)
composite number 合成数
146550444317193696846302305359377319675086424466077071536128608088905855655235307840766897838858136624886004538609997667069627367394116773769379228436300396598163347543<168>
prime factors 素因数
3754510602395734830868509425285076560107441031018553012150192667686547<70>
39033168323903673606241217789584691586686515742329046459837031787704790699498369467369341158231469<98>
factorization results 素因数分解の結果
Number: 76777_169
N=146550444317193696846302305359377319675086424466077071536128608088905855655235307840766897838858136624886004538609997667069627367394116773769379228436300396598163347543
  ( 168 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=3754510602395734830868509425285076560107441031018553012150192667686547
 r2=39033168323903673606241217789584691586686515742329046459837031787704790699498369467369341158231469
Version: 
Total time: 30.29 hours.
Scaled time: 158.90 units (timescale=5.246).
Factorization parameters were as follows:
n: 146550444317193696846302305359377319675086424466077071536128608088905855655235307840766897838858136624886004538609997667069627367394116773769379228436300396598163347543
m: 10000000000000000000000000000000000
deg: 5
c5: 691
c0: -70
skew: 0.63
# Murphy_E = 1.387e-10
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [3000000, 6900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11475855
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1078076 x 1078324
Total sieving time: 27.83 hours.
Total relation processing time: 1.10 hours.
Matrix solve time: 1.20 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,52,52,2.4,2.4,100000
total time: 30.29 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:03:47 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 47 秒 (日本時間)
2350Ignacio SantosFebruary 22, 2015 15:19:16 UTC 2015 年 2 月 23 日 (月) 0 時 19 分 16 秒 (日本時間)

691×10171-79

c140

name 名前Jo Yeong Uk
date 日付April 29, 2015 13:40:43 UTC 2015 年 4 月 29 日 (水) 22 時 40 分 43 秒 (日本時間)
composite number 合成数
40807668134638509231958232109169793399240522557427972675636871351394991404949401031920365521798234924913325078045217125021964642162501240183<140>
prime factors 素因数
383318690788107408971661159776118566096563557749<48>
106458852947497807825156248381738983019211797282873748183608487997517653497095656586644379067<93>
factorization results 素因数分解の結果
Number: 76777_171
N=40807668134638509231958232109169793399240522557427972675636871351394991404949401031920365521798234924913325078045217125021964642162501240183
  ( 140 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=383318690788107408971661159776118566096563557749
 r2=106458852947497807825156248381738983019211797282873748183608487997517653497095656586644379067
Version: 
Total time: 34.61 hours.
Scaled time: 178.64 units (timescale=5.161).
Factorization parameters were as follows:
n: 40807668134638509231958232109169793399240522557427972675636871351394991404949401031920365521798234924913325078045217125021964642162501240183
m: 10000000000000000000000000000000000
deg: 5
c5: 6910
c0: -7
skew: 0.25
# Murphy_E = 1.274e-10
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [3200000, 7500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 16463179
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1223563 x 1223811
Total sieving time: 31.10 hours.
Total relation processing time: 1.71 hours.
Matrix solve time: 1.63 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,52,52,2.4,2.4,100000
total time: 34.61 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.. 6800.00 BogoMIPS (lpj=3400000)
Total of 12 processors activated (81600.00 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62318300Serge BatalovJanuary 9, 2015 00:03:48 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 48 秒 (日本時間)
2018Kai InouyeMarch 2, 2015 17:42:52 UTC 2015 年 3 月 3 日 (火) 2 時 42 分 52 秒 (日本時間)

691×10173-79

c155

name 名前Jo Yeong Uk
date 日付May 7, 2015 21:37:10 UTC 2015 年 5 月 8 日 (金) 6 時 37 分 10 秒 (日本時間)
composite number 合成数
48143252708540942705942587461912657985311031089042227894007133272521520832187416223540734448726043756512073698117384065310115788413655548369522715658022687<155>
prime factors 素因数
36550884533879341105644467695614088186156171<44>
1317156980535355637500497783645726354751165611268743428349051088913812369789101117257124526938704940987635867197<112>
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 48143252708540942705942587461912657985311031089042227894007133272521520832187416223540734448726043756512073698117384065310115788413655548369522715658022687 (155 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4935068536
Step 1 took 32369ms
Step 2 took 10152ms
********** Factor found in step 2: 36550884533879341105644467695614088186156171
Found probable prime factor of 44 digits: 36550884533879341105644467695614088186156171
Probable prime cofactor 1317156980535355637500497783645726354751165611268743428349051088913812369789101117257124526938704940987635867197 has 112 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:03:49 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 49 秒 (日本時間)
4511e6585 / 4409CypJanuary 29, 2015 09:07:24 UTC 2015 年 1 月 29 日 (木) 18 時 7 分 24 秒 (日本時間)

691×10177-79

c164

name 名前KTakahashi
date 日付May 12, 2015 13:03:27 UTC 2015 年 5 月 12 日 (火) 22 時 3 分 27 秒 (日本時間)
composite number 合成数
17163200246068586661275312294383901250553890237966890937346056462205502596600797785637028736452362410223605328395876901303894291521632121264098384568205107917272391<164>
prime factors 素因数
42642784705220260180931649559786633<35>
5210821492040252650964666567023163633<37>
271880156296123702070895514051960990127<39>
284098542153165242212268445710348393087779517331997297<54>
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 17163200246068586661275312294383901250553890237966890937346056462205502596600797785637028736452362410223605328395876901303894291521632121264098384568205107917272391 (164 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2842263171
Step 1 took 47518ms
Step 2 took 19266ms
********** Factor found in step 2: 42642784705220260180931649559786633
Found probable prime factor of 35 digits: 42642784705220260180931649559786633
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3860631644
Step 1 took 39265ms
Step 2 took 17706ms
********** Factor found in step 2: 271880156296123702070895514051960990127
Found probable prime factor of 39 digits: 271880156296123702070895514051960990127
Composite cofactor 1480386789309017119403936015223033737715591842980771577789710676114286943274664923544700001 has 91 digits

Msieve v. 1.51 (SVN Official Release)
Tue May 12 12:07:26 2015
random seeds: d13f1b00 6eff7564
factoring 1480386789309017119403936015223033737715591842980771577789710676114286943274664923544700001 (91 digits)
searching for 15-digit factors
commencing quadratic sieve (91-digit input)
using multiplier of 5
using VC8 64kb sieve core
sieve interval: 18 blocks of size 65536
processing polynomials in batches of 6
using a sieve bound of 1652509 (61989 primes)
using large prime bound of 145420792 (27 bits)
using double large prime bound of 492864656290952 (42-49 bits)
using trial factoring cutoff of 49 bits
polynomial 'A' values have 12 factors
62551 relations (15762 full + 46789 combined from 706468 partial), need 62085
begin with 722230 relations
reduce to 156135 relations in 10 passes
attempting to read 156135 relations
recovered 156135 relations
recovered 138116 polynomials
attempting to build 62551 cycles
found 62551 cycles in 5 passes
distribution of cycle lengths:
   length 1 : 15762
   length 2 : 11768
   length 3 : 10943
   length 4 : 8441
   length 5 : 6178
   length 6 : 3960
   length 7 : 2471
   length 9+: 3028
largest cycle: 20 relations
matrix is 61989 x 62551 (16.4 MB) with weight 3786248 (60.53/col)
sparse part has weight 3786248 (60.53/col)
filtering completed in 3 passes
matrix is 58605 x 58669 (15.3 MB) with weight 3543764 (60.40/col)
sparse part has weight 3543764 (60.40/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 58557 x 58669 (9.6 MB) with weight 2727338 (46.49/col)
sparse part has weight 1927494 (32.85/col)
using block size 23422 for processor cache size 1024 kB
commencing Lanczos iteration
memory use: 6.0 MB
lanczos halted after 928 iterations (dim = 58557)
recovered 18 nontrivial dependencies
prp37 factor: 5210821492040252650964666567023163633
prp54 factor: 284098542153165242212268445710348393087779517331997297
elapsed time 01:43:35

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301 / 2318300Serge BatalovJanuary 9, 2015 00:03:50 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 50 秒 (日本時間)
1CypJanuary 9, 2015 00:38:06 UTC 2015 年 1 月 9 日 (金) 9 時 38 分 6 秒 (日本時間)

691×10178-79

c168

name 名前Serge Batalov
date 日付January 9, 2015 03:49:51 UTC 2015 年 1 月 9 日 (金) 12 時 49 分 51 秒 (日本時間)
composite number 合成数
654420782407408004842598167773811924800798644668331206949821807676802010615751959144911056793748836377433260740620617169939021428275828244346054413751596781191127785953<168>
prime factors 素因数
6857620250095129828726882253132627<34>
95429720302510158957076414121162163030232954048105192995176022759749817245861851379233685317251726887653413029005884610491138975900539<134>
factorization results 素因数分解の結果
Input number is 654420782407408004842598167773811924800798644668331206949821807676802010615751959144911056793748836377433260740620617169939021428275828244346054413751596781191127785953 (168 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=698969978
Step 1 took 11043ms
Step 2 took 8731ms
********** Factor found in step 2: 6857620250095129828726882253132627
Found probable prime factor of 34 digits: 6857620250095129828726882253132627
Probable prime cofactor 95429720302510158957076414121162163030232954048105192995176022759749817245861851379233685317251726887653413029005884610491138975900539 has 134 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301 / 2318300Serge BatalovJanuary 9, 2015 00:03:51 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 51 秒 (日本時間)
1CypJanuary 9, 2015 00:36:25 UTC 2015 年 1 月 9 日 (金) 9 時 36 分 25 秒 (日本時間)

691×10184-79

c129

name 名前Ignacio Santos
date 日付February 3, 2015 20:05:29 UTC 2015 年 2 月 4 日 (水) 5 時 5 分 29 秒 (日本時間)
composite number 合成数
694342865747330166843715561333123839082550459658905589730272885152959314606784039356076787797057979941631207575209241287873061637<129>
prime factors 素因数
15601342803016722307433350180649083208827<41>
44505327170496500696648956642816712007244989532652427881662208898921380626594949267644031<89>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:795472754
Step 1 took 7421ms
Step 2 took 5875ms
********** Factor found in step 2: 15601342803016722307433350180649083208827
Found probable prime factor of 41 digits: 15601342803016722307433350180649083208827
Probable prime cofactor 44505327170496500696648956642816712007244989532652427881662208898921380626594949267644031 has 89 digits
 
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:03:51 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 51 秒 (日本時間)

691×10185-79

c181

name 名前Jo Yeong Uk
date 日付September 20, 2016 00:52:04 UTC 2016 年 9 月 20 日 (火) 9 時 52 分 4 秒 (日本時間)
composite number 合成数
1167165634198027402245190893317665950472888727005886889556115761278041977796117986831500182312623338877116731309231650133537430233349854385530281098921408893575793667141691256110243<181>
prime factors 素因数
46871575482985151903934282765308905594116394565013587345192773817<65>
24901352731821872221122396931846008028610754736407366577223218049437766849805735222733084775912023141683783334341179<116>
factorization results 素因数分解の結果
Number: 76777_185
N=1167165634198027402245190893317665950472888727005886889556115761278041977796117986831500182312623338877116731309231650133537430233349854385530281098921408893575793667141691256110243
  ( 181 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=46871575482985151903934282765308905594116394565013587345192773817
 r2=24901352731821872221122396931846008028610754736407366577223218049437766849805735222733084775912023141683783334341179
Version: 
Total time: 84.80 hours.
Scaled time: 443.08 units (timescale=5.225).
Factorization parameters were as follows:
n: 1167165634198027402245190893317665950472888727005886889556115761278041977796117986831500182312623338877116731309231650133537430233349854385530281098921408893575793667141691256110243
m: 10000000000000000000000000000000000000
deg: 5
c5: 691
c0: -7
skew: 0.40
# Murphy_E = 4.587e-11
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3900000, 7700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20764663
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1640056 x 1640304
Total sieving time: 78.89 hours.
Total relation processing time: 2.07 hours.
Matrix solve time: 3.43 hours.
Time per square root: 0.41 hours.
Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,54,54,2.5,2.5,100000
total time: 84.80 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49368528k/51380224k available (5398k kernel code, 1086460k absent, 925236k reserved, 7010k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.87 BogoMIPS (lpj=3399935)
Total of 12 processors activated (81598.44 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:03:52 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 52 秒 (日本時間)
1CypJanuary 9, 2015 01:01:11 UTC 2015 年 1 月 9 日 (金) 10 時 1 分 11 秒 (日本時間)
4511e6585 / 4409CypMay 20, 2015 15:41:43 UTC 2015 年 5 月 21 日 (木) 0 時 41 分 43 秒 (日本時間)

691×10186-79

c157

name 名前Cyp
date 日付May 27, 2015 10:55:40 UTC 2015 年 5 月 27 日 (水) 19 時 55 分 40 秒 (日本時間)
composite number 合成数
2992603109644836279947063397387602983488189925137537785359039244937872965225709855814019739222626335661257863791880279342527701686038358246152883672562020231<157>
prime factors 素因数
29726899317022841556532711067467476759503<41>
composite cofactor 合成数の残り
100669870669328402576667199768404514925589104143862343404885710743727043637948571166591714826021960459012788715429577<117>
factorization results 素因数分解の結果
Run 455 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4060917514
Step 1 took 50389ms
Step 2 took 16727ms
********** Factor found in step 2: 29726899317022841556532711067467476759503
Found probable prime factor of 41 digits: 29726899317022841556532711067467476759503
Composite cofactor 100669870669328402576667199768404514925589104143862343404885710743727043637948571166591714826021960459012788715429577 has 117 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

c117

name 名前Dmitry Domanov
date 日付May 28, 2015 06:38:48 UTC 2015 年 5 月 28 日 (木) 15 時 38 分 48 秒 (日本時間)
composite number 合成数
100669870669328402576667199768404514925589104143862343404885710743727043637948571166591714826021960459012788715429577<117>
prime factors 素因数
168220104941936985026146810395617883221044288869661<51>
598441373604395937175479185475696589968766328158866516050677324957<66>
factorization results 素因数分解の結果
N=100669870669328402576667199768404514925589104143862343404885710743727043637948571166591714826021960459012788715429577
  ( 117 digits)
Divisors found:
 r1=168220104941936985026146810395617883221044288869661 (pp51)
 r2=598441373604395937175479185475696589968766328158866516050677324957 (pp66)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 21.96 hours.
Scaled time: 36.49 units (timescale=1.662).
Factorization parameters were as follows:
n: 100669870669328402576667199768404514925589104143862343404885710743727043637948571166591714826021960459012788715429577
skew: 107916.18
c0: 35976012092870850946797959133
c1: 2042870394659399423734599
c2: -5730342362657441003
c3: -567251307970745
c4: 1140243036
c5: 10260
Y0: -25023628849838966270840
Y1: 362931884549
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 120000
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2450000, 3650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 632148 x 632379
Total sieving time: 21.26 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.51 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4900000,4900000,27,27,54,54,2.5,2.5,100000
total time: 21.96 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:03:52 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 52 秒 (日本時間)
4511e6585 / 4409CypMay 27, 2015 10:55:40 UTC 2015 年 5 月 27 日 (水) 19 時 55 分 40 秒 (日本時間)

691×10188-79

c170

name 名前Serge Batalov
date 日付January 9, 2015 03:49:54 UTC 2015 年 1 月 9 日 (金) 12 時 49 分 54 秒 (日本時間)
composite number 合成数
40688857027995990542782410993393491016754537998894425185146777452317454534923908659995838671507784331256217459716872372107956601188103921349521620268875459143579683977849<170>
prime factors 素因数
3333521388673457133349881178477<31>
12205968489132067927902716737834298126925628397985381127129359553312007971027371803626038152401522600914703275785715364114056156590983944637<140>
factorization results 素因数分解の結果
Input number is 40688857027995990542782410993393491016754537998894425185146777452317454534923908659995838671507784331256217459716872372107956601188103921349521620268875459143579683977849 (170 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4289120177
Step 1 took 11608ms
Step 2 took 10109ms
********** Factor found in step 2: 3333521388673457133349881178477
Found probable prime factor of 31 digits: 3333521388673457133349881178477
Probable prime cofactor 12205968489132067927902716737834298126925628397985381127129359553312007971027371803626038152401522600914703275785715364114056156590983944637 has 140 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301 / 2318300Serge BatalovJanuary 9, 2015 00:03:53 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 53 秒 (日本時間)
1CypJanuary 9, 2015 00:44:56 UTC 2015 年 1 月 9 日 (金) 9 時 44 分 56 秒 (日本時間)

691×10189-79

c154

composite cofactor 合成数の残り
8970823471326754110870767687483957813688174597545392599537748696125587660260006020141325401466690227387134364036294600140343277231920825392817458683263803<154>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:03:54 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 54 秒 (日本時間)
1CypJanuary 9, 2015 01:06:29 UTC 2015 年 1 月 9 日 (金) 10 時 6 分 29 秒 (日本時間)
4511e6585 / 4409CypFebruary 1, 2015 09:26:22 UTC 2015 年 2 月 1 日 (日) 18 時 26 分 22 秒 (日本時間)

691×10190-79

c157

name 名前Cyp
date 日付June 18, 2015 21:44:52 UTC 2015 年 6 月 19 日 (金) 6 時 44 分 52 秒 (日本時間)
composite number 合成数
1385716161931916262270065401411432945761464198181281532298383211542105177807820048018604596428150130500748264163300133584750542834105074468951803938384141207<157>
prime factors 素因数
24276150726984900452404226977277006192980609<44>
57081379066887277580797096183346773256006168479200527395539789736248259513791532626625538341432637433182757900823<113>
factorization results 素因数分解の結果
Run 318 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4069065406
Step 1 took 50546ms
Step 2 took 16819ms
********** Factor found in step 2: 24276150726984900452404226977277006192980609
Found probable prime factor of 44 digits: 24276150726984900452404226977277006192980609
Probable prime cofactor 57081379066887277580797096183346773256006168479200527395539789736248259513791532626625538341432637433182757900823 has 113 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 1221Serge BatalovJanuary 9, 2015 00:03:55 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 55 秒 (日本時間)
4511e6318 / 4409CypJune 18, 2015 21:44:51 UTC 2015 年 6 月 19 日 (金) 6 時 44 分 51 秒 (日本時間)

691×10192-79

c192

name 名前Serge Batalov
date 日付October 4, 2016 04:14:04 UTC 2016 年 10 月 4 日 (火) 13 時 14 分 4 秒 (日本時間)
composite number 合成数
604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951006124234470691163604549431321084864391951<192>
prime factors 素因数
15978667376233700613218931290770837857704650878486997982689<59>
37834784158551148760898500559355448039896700428108603530741946502351746291881265099582085054180430227318569672708989640345089687979759<134>
factorization results 素因数分解の結果
SNFS difficulty: 194 digits.
Divisors found:
 r1=15978667376233700613218931290770837857704650878486997982689 (pp59)
 r2=37834784158551148760898500559355448039896700428108603530741946502351746291881265099582085054180430227318569672708989640345089687979759 (pp134)
Version: Msieve v. 1.53 (SVN 991)
Total time: 564.47 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
Y0: -100000000000000000000000000000000000000
Y1: 1
c5: 69100
c0: -7
skew: 0.16
# Murphy_E = 1.509e-11
type: snfs
rlim: 16000000
alim: 16000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.55
alambda: 2.55
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [8000000, 7900001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 3289660 x 3289886
Total sieving time: 560.15 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 3.73 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,194.000,5,0,0,0,0,0,0,0,0,16000000,16000000,28,28,55,55,2.55,2.55,100000
total time: 564.47 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:03:55 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 55 秒 (日本時間)
1CypJanuary 9, 2015 01:05:31 UTC 2015 年 1 月 9 日 (金) 10 時 5 分 31 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:08:53 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 53 秒 (日本時間)
4511e6394413KTakahashiJuly 25, 2015 08:45:25 UTC 2015 年 7 月 25 日 (土) 17 時 45 分 25 秒 (日本時間)
383Ben MeekinsFebruary 12, 2016 23:25:49 UTC 2016 年 2 月 13 日 (土) 8 時 25 分 49 秒 (日本時間)
3548Ben MeekinsFebruary 15, 2016 17:30:38 UTC 2016 年 2 月 16 日 (火) 2 時 30 分 38 秒 (日本時間)
5043e66577Ben MeekinsFebruary 28, 2016 15:28:58 UTC 2016 年 2 月 29 日 (月) 0 時 28 分 58 秒 (日本時間)

691×10193-79

c186

name 名前Cyp
date 日付June 4, 2015 20:12:13 UTC 2015 年 6 月 5 日 (金) 5 時 12 分 13 秒 (日本時間)
composite number 合成数
124773671049559250158812411535858836425572290982003006050785978395870816634061501627144562031854457729085825199156561048918246279597046509142457694351002015504265386473186029487796384641<186>
prime factors 素因数
67912719468057629700277817132185266895271<41>
composite cofactor 合成数の残り
1837265125397398540828888860141920296761555724928016443822714601728921769564577752135065867082706307548608288371072192564917904686411823825272471<145>
factorization results 素因数分解の結果
Run 82 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=108753859
Step 1 took 59566ms
Step 2 took 19328ms
********** Factor found in step 2: 67912719468057629700277817132185266895271
Found probable prime factor of 41 digits: 67912719468057629700277817132185266895271
Composite cofactor 1837265125397398540828888860141920296761555724928016443822714601728921769564577752135065867082706307548608288371072192564917904686411823825272471 has 145 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:03:56 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 56 秒 (日本時間)
1CypJanuary 9, 2015 00:18:06 UTC 2015 年 1 月 9 日 (金) 9 時 18 分 6 秒 (日本時間)
4511e6585 / 4409CypJune 5, 2015 14:09:57 UTC 2015 年 6 月 5 日 (金) 23 時 9 分 57 秒 (日本時間)

691×10195-79

c191

composite cofactor 合成数の残り
45430126985423109312840730061483200944946641296800673707087185278850579654890138973454013107413453800092056821714890647843472634199839041914781891669725475144230791356652071827463346730289883<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:03:56 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 56 秒 (日本時間)
4511e6585 / 4409CypJuly 20, 2015 11:17:42 UTC 2015 年 7 月 20 日 (月) 20 時 17 分 42 秒 (日本時間)

691×10198-79

c199

name 名前Serge Batalov
date 日付January 9, 2015 03:49:58 UTC 2015 年 1 月 9 日 (金) 12 時 49 分 58 秒 (日本時間)
composite number 合成数
4040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883<199>
prime factors 素因数
26684909619669750179683<23>
composite cofactor 合成数の残り
151431491809738050220214196129275986792488962683477217942788735661642046490059821625775260904159997797438390472291163665218054600579185854821173434936314882286443911184170749401<177>
factorization results 素因数分解の結果
Input number is 4040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883 (199 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=240985398
Step 1 took 16201ms
Step 2 took 10776ms
********** Factor found in step 2: 26684909619669750179683
Found probable prime factor of 23 digits: 26684909619669750179683
Composite cofactor 151431491809738050220214196129275986792488962683477217942788735661642046490059821625775260904159997797438390472291163665218054600579185854821173434936314882286443911184170749401 has 177 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:03:57 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 57 秒 (日本時間)
1CypJanuary 9, 2015 00:15:58 UTC 2015 年 1 月 9 日 (金) 9 時 15 分 58 秒 (日本時間)
4511e6585 / 4409CypMay 12, 2015 17:50:11 UTC 2015 年 5 月 13 日 (水) 2 時 50 分 11 秒 (日本時間)

691×10200-79

c164

composite cofactor 合成数の残り
15199596007395135889819570539747994464450297363282331633987306710897781462269260705851660474403053715743441811346463393152884130716878563128186162277513923688600203<164>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:03:57 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 57 秒 (日本時間)
4511e6585 / 4409CypFebruary 7, 2015 09:16:11 UTC 2015 年 2 月 7 日 (土) 18 時 16 分 11 秒 (日本時間)

691×10201-79

c182

name 名前Serge Batalov
date 日付January 9, 2015 03:50:02 UTC 2015 年 1 月 9 日 (金) 12 時 50 分 2 秒 (日本時間)
composite number 合成数
72581928734758012712308629957795658803145747321056754898369356569424467632426993302842274661243748874174513366453873801962989928291388690167285930791182678390874791586093752750814947<182>
prime factors 素因数
3502598528762610192096792936233<31>
20722308919714982740481441000289805828566816189797043507738008507984268250397399030667175956181455349726215079819412110101082782003234328101488648348459<152>
factorization results 素因数分解の結果
Input number is 72581928734758012712308629957795658803145747321056754898369356569424467632426993302842274661243748874174513366453873801962989928291388690167285930791182678390874791586093752750814947 (182 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2036377519
Step 1 took 14627ms
Step 2 took 10932ms
********** Factor found in step 2: 3502598528762610192096792936233
Found probable prime factor of 31 digits: 3502598528762610192096792936233
Probable prime cofactor 20722308919714982740481441000289805828566816189797043507738008507984268250397399030667175956181455349726215079819412110101082782003234328101488648348459 has 152 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:03:58 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 58 秒 (日本時間)

691×10202-79

c137

name 名前Serge Batalov
date 日付January 8, 2015 23:37:30 UTC 2015 年 1 月 9 日 (金) 8 時 37 分 30 秒 (日本時間)
composite number 合成数
46765590736673531984981321071788811737027698725344449300275118951878431422497992516893856040279819236673748821308273077286276605220015869<137>
prime factors 素因数
38467296089676872185105696127489<32>
2339082071021765196267502933775203<34>
519743784305384101216121652030920438420007621970621519446164379263487007<72>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2192970464
Step 1 took 9823ms
Step 2 took 3034ms
********** Factor found in step 2: 38467296089676872185105696127489
Found probable prime factor of 32 digits: 38467296089676872185105696127489

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3819369816
Step 1 took 9355ms
Step 2 took 7466ms
********** Factor found in step 2: 2339082071021765196267502933775203
Found probable prime factor of 34 digits: 2339082071021765196267502933775203

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

691×10206-79

c156

name 名前Serge Batalov
date 日付January 9, 2015 03:50:07 UTC 2015 年 1 月 9 日 (金) 12 時 50 分 7 秒 (日本時間)
composite number 合成数
123023220490559839586391888205282095665719297961414501825833348419223830378337469860028078484811038256531593469005070209451755941958524510017464033908505007<156>
prime factors 素因数
20687267557726628258455315878856921049<38>
5946808593608151998758977060328067164515662321059541198933792783948541708612568764086388234941479680125957964383955143<118>
factorization results 素因数分解の結果
Input number is 123023220490559839586391888205282095665719297961414501825833348419223830378337469860028078484811038256531593469005070209451755941958524510017464033908505007 (156 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3765604021
Step 1 took 11974ms
Step 2 took 9825ms
********** Factor found in step 2: 20687267557726628258455315878856921049
Found probable prime factor of 38 digits: 20687267557726628258455315878856921049
Probable prime cofactor 5946808593608151998758977060328067164515662321059541198933792783948541708612568764086388234941479680125957964383955143 has 118 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:03:59 UTC 2015 年 1 月 9 日 (金) 9 時 3 分 59 秒 (日本時間)

691×10207-79

c205

composite cofactor 合成数の残り
7078250002560871925673253229259498273972322096227323479098163342654907142783975087837907050592585763600790797250647900597195333067002653063314997490345512840211835325691691507124345697222990483799924198191<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:04:00 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 0 秒 (日本時間)
1CypJanuary 9, 2015 01:21:32 UTC 2015 年 1 月 9 日 (金) 10 時 21 分 32 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:09:03 UTC 2015 年 1 月 11 日 (日) 5 時 9 分 3 秒 (日本時間)

691×10208-79

c189

name 名前Serge Batalov
date 日付January 9, 2015 03:50:11 UTC 2015 年 1 月 9 日 (金) 12 時 50 分 11 秒 (日本時間)
composite number 合成数
150728056282748367852994269764737625183245420292973331261881186767023325283805980783196094324699749195975084916549198647602880023018320322911596603648574225531199864229120108024778283131099<189>
prime factors 素因数
308134762513707045814199612517671<33>
composite cofactor 合成数の残り
489162777523497989782566484505878098702087280762190682809981934314364266276595689304155629688427349357717613902675017080769272597192300537454684909668525869<156>
factorization results 素因数分解の結果
Input number is 150728056282748367852994269764737625183245420292973331261881186767023325283805980783196094324699749195975084916549198647602880023018320322911596603648574225531199864229120108024778283131099 (189 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1614651997
Step 1 took 13922ms
********** Factor found in step 1: 308134762513707045814199612517671
Found probable prime factor of 33 digits: 308134762513707045814199612517671
Composite cofactor 489162777523497989782566484505878098702087280762190682809981934314364266276595689304155629688427349357717613902675017080769272597192300537454684909668525869 has 156 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:00 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 0 秒 (日本時間)
4511e6585 / 4409CypMay 23, 2015 22:59:48 UTC 2015 年 5 月 24 日 (日) 7 時 59 分 48 秒 (日本時間)

691×10210-79

c184

composite cofactor 合成数の残り
4924547502567139241306480229505394655720728345843057459841291083556010744601167372883725977190104440167863447439051749817131845179445446793534732945891721287324934565332956256072550951<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6281CypJanuary 8, 2015 22:50:19 UTC 2015 年 1 月 9 日 (金) 7 時 50 分 19 秒 (日本時間)
4511e6591 / 4413CypJune 18, 2015 06:03:49 UTC 2015 年 6 月 18 日 (木) 15 時 3 分 49 秒 (日本時間)

691×10213-79

c193

composite cofactor 合成数の残り
1702703436327221739248855887799606160168335082688836894748658932496139825652820379470565994947661240684113357474415834193415512965445187576625692861927199767897413649772537431612060560254901953<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:04:01 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 1 秒 (日本時間)
1CypJanuary 9, 2015 00:45:08 UTC 2015 年 1 月 9 日 (金) 9 時 45 分 8 秒 (日本時間)
4511e6585 / 4409CypJuly 20, 2015 09:18:49 UTC 2015 年 7 月 20 日 (月) 18 時 18 分 49 秒 (日本時間)

691×10215-79

c201

name 名前Serge Batalov
date 日付January 9, 2015 03:50:14 UTC 2015 年 1 月 9 日 (金) 12 時 50 分 14 秒 (日本時間)
composite number 合成数
722762284316083293985262568555978034619048183687525929293906691567551546888778702683696378099549494330647044061067929125634189986234997619140083746159336553982559068035199765280348124706625533630305169<201>
prime factors 素因数
4512778229981564470540548263663980283<37>
composite cofactor 合成数の残り
160159052247297317535403349096101322233358640416952310872331562487750015599270965835924378789491144406126169265593961825386648923173750866168018589014795843709891043<165>
factorization results 素因数分解の結果
Input number is 722762284316083293985262568555978034619048183687525929293906691567551546888778702683696378099549494330647044061067929125634189986234997619140083746159336553982559068035199765280348124706625533630305169 (201 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3308944481
Step 1 took 16451ms
Step 2 took 10991ms
********** Factor found in step 2: 4512778229981564470540548263663980283
Found probable prime factor of 37 digits: 4512778229981564470540548263663980283
Composite cofactor 160159052247297317535403349096101322233358640416952310872331562487750015599270965835924378789491144406126169265593961825386648923173750866168018589014795843709891043 has 165 digits

c165

name 名前Cyp
date 日付July 20, 2015 06:18:39 UTC 2015 年 7 月 20 日 (月) 15 時 18 分 39 秒 (日本時間)
composite number 合成数
160159052247297317535403349096101322233358640416952310872331562487750015599270965835924378789491144406126169265593961825386648923173750866168018589014795843709891043<165>
prime factors 素因数
30003884438101793931105507986709821509043689<44>
5337943911152786557758518337069841078451720105656064238304495973610174387939178022044399246494608555867664859676477930987<121>
factorization results 素因数分解の結果
Run 526 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2579726561
Step 1 took 49698ms
Step 2 took 17469ms
********** Factor found in step 2: 30003884438101793931105507986709821509043689
Found probable prime factor of 44 digits: 30003884438101793931105507986709821509043689
Probable prime cofactor 5337943911152786557758518337069841078451720105656064238304495973610174387939178022044399246494608555867664859676477930987 has 121 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301 / 503300Serge BatalovJanuary 9, 2015 00:04:02 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 2 秒 (日本時間)
1CypJanuary 9, 2015 00:58:14 UTC 2015 年 1 月 9 日 (金) 9 時 58 分 14 秒 (日本時間)
4511e6526 / 4409CypJuly 20, 2015 06:18:38 UTC 2015 年 7 月 20 日 (月) 15 時 18 分 38 秒 (日本時間)

691×10217-79

c186

composite cofactor 合成数の残り
732590196065815795065703950844098821347480162922666586408439215645281424763085615781225507060363435760141875152495948039219802137168034204743259697924436120129253165167052364588175606047<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:04:02 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 2 秒 (日本時間)
1CypJanuary 9, 2015 00:19:56 UTC 2015 年 1 月 9 日 (金) 9 時 19 分 56 秒 (日本時間)
4511e6585 / 4409CypJuly 20, 2015 09:17:29 UTC 2015 年 7 月 20 日 (月) 18 時 17 分 29 秒 (日本時間)

691×10218-79

c173

composite cofactor 合成数の残り
17952009576942665193994247987673217999228364436843547401338809560524873576223298882632946380938632855629849758586693607648629482431408945812947196174169011270701845043184073<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6581281CypJanuary 8, 2015 21:36:04 UTC 2015 年 1 月 9 日 (金) 6 時 36 分 4 秒 (日本時間)
300Serge BatalovJanuary 9, 2015 00:04:03 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 3 秒 (日本時間)
4511e6504 / 4347CypMay 23, 2015 03:02:34 UTC 2015 年 5 月 23 日 (土) 12 時 2 分 34 秒 (日本時間)

691×10219-79

c213

name 名前Bob Backstrom
date 日付June 20, 2018 13:16:19 UTC 2018 年 6 月 20 日 (水) 22 時 16 分 19 秒 (日本時間)
composite number 合成数
413112604673997978174302147724065839452498026844766098820792907731587310697643026328952265790900945938366936567240500580727215007599182449079224704436509466015292473264767629394025512781057416570147330655896138321<213>
prime factors 素因数
68421482891991926546953933658836604524475381<44>
107055799917743268642281433156888865474896132160574879186299425385838778159086091607<84>
56398267477552199405647651084223018879420775948155865869932764476801045181981456761563<86>
factorization results 素因数分解の結果
Number: n
N=413112604673997978174302147724065839452498026844766098820792907731587310697643026328952265790900945938366936567240500580727215007599182449079224704436509466015292473264767629394025512781057416570147330655896138321
  ( 213 digits)
SNFS difficulty: 221 digits.
Divisors found:

Wed Jun 20 22:02:48 2018  found factor: 56398267477552199405647651084223018879420775948155865869932764476801045181981456761563
Wed Jun 20 22:37:32 2018  found factor: 56398267477552199405647651084223018879420775948155865869932764476801045181981456761563
Wed Jun 20 22:54:54 2018  p44 factor: 68421482891991926546953933658836604524475381
Wed Jun 20 22:54:54 2018  p84 factor: 107055799917743268642281433156888865474896132160574879186299425385838778159086091607
Wed Jun 20 22:54:54 2018  p86 factor: 56398267477552199405647651084223018879420775948155865869932764476801045181981456761563
Wed Jun 20 22:54:54 2018  elapsed time 19:15:28 (Msieve 1.53 - dependency 5)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.128).
Factorization parameters were as follows:
#
# 691x10^219-7 = 767(219)
#
n: 413112604673997978174302147724065839452498026844766098820792907731587310697643026328952265790900945938366936567240500580727215007599182449079224704436509466015292473264767629394025512781057416570147330655896138321
m: 1000000000000000000000000000000000000
deg: 6
c6: 691000
c0: -7
skew: 0.15
# Murphy_E = 1.081e-12
type: snfs
lss: 1
rlim: 35000000
alim: 35000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 35000000/35000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 121500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 14072514 hash collisions in 64770300 relations (50747121 unique)
Msieve: matrix is 6314029 x 6314254 (1798.4 MB)

Sieving start time: 2018/06/16 18:18:07
Sieving end time  : 2018/06/20 03:35:00

Total sieving time: 81hrs 16min 53secs.

Total relation processing time: 17hrs 29min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 1hrs 26min 38sec.

Prototype def-par.txt line would be:
snfs,221,6,0,0,0,0,0,0,0,0,35000000,35000000,29,29,58,58,2.6,2.6,100000
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: 16286860K/16703460K available (12300K kernel code, 2470K rwdata, 4240K rodata, 2404K init, 2416K bss, 416600K reserved, 0K cma-reserved)
[    0.068658] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.63 BogoMIPS (lpj=11977272)
[    0.066211] smpboot: Total of 16 processors activated (95818.17 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:03 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 3 秒 (日本時間)
4511e6585 / 4409CypJuly 20, 2015 00:41:53 UTC 2015 年 7 月 20 日 (月) 9 時 41 分 53 秒 (日本時間)

691×10220-79

c215

name 名前Cyp
date 日付June 9, 2015 19:21:22 UTC 2015 年 6 月 10 日 (水) 4 時 21 分 22 秒 (日本時間)
composite number 合成数
86929756366337190309755127682514212857912357117704663939940621315274387234223120404115931485614314158126132610752063540695272242799162309139649911100800311065112563907366494229983954981104603456455432013401222076379<215>
prime factors 素因数
971551993253307142775833379057479345176773<42>
89475145921163785566970029410424610124085515009032992515209177932636162069207227717941575113877846351842717359457265086652673246189322833507967535814720922345864673240072223<173>
factorization results 素因数分解の結果
Run 473 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1180207867
Step 1 took 80708ms
********** Factor found in step 1: 971551993253307142775833379057479345176773
Found probable prime factor of 42 digits: 971551993253307142775833379057479345176773
Probable prime cofactor 89475145921163785566970029410424610124085515009032992515209177932636162069207227717941575113877846351842717359457265086652673246189322833507967535814720922345864673240072223 has 173 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301 / 686300Serge BatalovJanuary 9, 2015 00:04:03 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 3 秒 (日本時間)
1CypJanuary 9, 2015 00:57:41 UTC 2015 年 1 月 9 日 (金) 9 時 57 分 41 秒 (日本時間)
4511e6473 / 4409CypJune 9, 2015 19:21:22 UTC 2015 年 6 月 10 日 (水) 4 時 21 分 22 秒 (日本時間)

691×10221-79

c189

name 名前Serge Batalov
date 日付January 8, 2015 23:58:39 UTC 2015 年 1 月 9 日 (金) 8 時 58 分 39 秒 (日本時間)
composite number 合成数
250306044819078122657596730712621790868323327724426767595177610398560301178613192469028363114228483264605896422441192569046158441073019200411766005125312537643263345079978788391929879385467<189>
prime factors 素因数
359287214565855620467093494181988453<36>
228355877010603105775145523145625505359<39>
composite cofactor 合成数の残り
3050825598646096124354434933301865735410288943349659950537613018955240313204674162437943228993462180515952932167921<115>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3265112817
Step 1 took 13819ms
Step 2 took 9911ms
********** Factor found in step 2: 359287214565855620467093494181988453
Found probable prime factor of 36 digits: 359287214565855620467093494181988453

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1304224203
Step 1 took 15132ms
Step 2 took 11662ms
********** Factor found in step 2: 228355877010603105775145523145625505359
Found probable prime factor of 39 digits: 228355877010603105775145523145625505359

c115

name 名前Cyp
date 日付January 11, 2015 13:45:49 UTC 2015 年 1 月 11 日 (日) 22 時 45 分 49 秒 (日本時間)
composite number 合成数
3050825598646096124354434933301865735410288943349659950537613018955240313204674162437943228993462180515952932167921<115>
prime factors 素因数
722653780456125728442395937700677739<36>
4221697417427846727054796101364138417556934252236936584549890805767325143089939<79>
factorization results 素因数分解の結果
01/11/15 11:46:54 v1.34.3, 
01/11/15 11:46:54 v1.34.3, ****************************
01/11/15 11:46:54 v1.34.3, Starting factorization of 3050825598646096124354434933301865735410288943349659950537613018955240313204674162437943228993462180515952932167921
01/11/15 11:46:54 v1.34.3, using pretesting plan: none
01/11/15 11:46:54 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/11/15 11:46:54 v1.34.3, ****************************
01/11/15 11:46:54 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C115
01/11/15 11:46:54 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C115
01/11/15 11:46:54 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C115
01/11/15 11:46:54 v1.34.3, final ECM pretested depth: 0.00
01/11/15 11:46:54 v1.34.3, scheduler: switching to sieve method
01/11/15 11:46:54 v1.34.3, nfs: commencing nfs on c115: 3050825598646096124354434933301865735410288943349659950537613018955240313204674162437943228993462180515952932167921
01/11/15 11:46:54 v1.34.3, nfs: commencing poly selection with 8 threads
01/11/15 11:46:54 v1.34.3, nfs: setting deadline of 850 seconds
01/11/15 12:01:09 v1.34.3, nfs: completed 144 ranges of size 250 in 855.1528 seconds
01/11/15 12:01:09 v1.34.3, nfs: best poly = # norm 6.349399e-11 alpha -5.636900 e 5.485e-10 rroots 5
01/11/15 12:01:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/11/15 12:06:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
[23 lines snipped]
01/11/15 14:21:20 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/11/15 14:26:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/11/15 14:32:49 v1.34.3, nfs: commencing msieve filtering
01/11/15 14:34:49 v1.34.3, nfs: commencing msieve linear algebra
01/11/15 14:43:06 v1.34.3, nfs: commencing msieve sqrt
01/11/15 14:45:49 v1.34.3, prp79 = 4221697417427846727054796101364138417556934252236936584549890805767325143089939
01/11/15 14:45:49 v1.34.3, prp36 = 722653780456125728442395937700677739
01/11/15 14:45:49 v1.34.3, NFS elapsed time = 10735.1730 seconds.
01/11/15 14:45:49 v1.34.3, 
01/11/15 14:45:49 v1.34.3, 
01/11/15 14:45:49 v1.34.3, Total factoring time = 10735.1962 seconds
--
Sun Jan 11 14:32:49 2015  
Sun Jan 11 14:32:49 2015  commencing relation filtering
Sun Jan 11 14:32:49 2015  estimated available RAM is 15987.3 MB
Sun Jan 11 14:32:49 2015  commencing duplicate removal, pass 1
Sun Jan 11 14:33:22 2015  found 1069359 hash collisions in 10329134 relations
Sun Jan 11 14:33:32 2015  added 63411 free relations
Sun Jan 11 14:33:32 2015  commencing duplicate removal, pass 2
Sun Jan 11 14:33:40 2015  found 479730 duplicates and 9912815 unique relations
Sun Jan 11 14:33:40 2015  memory use: 41.3 MB
Sun Jan 11 14:33:40 2015  reading ideals above 100000
Sun Jan 11 14:33:40 2015  commencing singleton removal, initial pass
Sun Jan 11 14:34:25 2015  memory use: 344.5 MB
Sun Jan 11 14:34:25 2015  reading all ideals from disk
Sun Jan 11 14:34:25 2015  memory use: 344.0 MB
Sun Jan 11 14:34:26 2015  keeping 10724617 ideals with weight <= 200, target excess is 51502
Sun Jan 11 14:34:26 2015  commencing in-memory singleton removal
Sun Jan 11 14:34:26 2015  begin with 9912815 relations and 10724617 unique ideals
Sun Jan 11 14:34:30 2015  reduce to 3752969 relations and 3441224 ideals in 19 passes
Sun Jan 11 14:34:30 2015  max relations containing the same ideal: 105
Sun Jan 11 14:34:31 2015  removing 832082 relations and 706082 ideals in 126001 cliques
Sun Jan 11 14:34:31 2015  commencing in-memory singleton removal
Sun Jan 11 14:34:32 2015  begin with 2920887 relations and 3441224 unique ideals
Sun Jan 11 14:34:33 2015  reduce to 2769215 relations and 2576598 ideals in 11 passes
Sun Jan 11 14:34:33 2015  max relations containing the same ideal: 88
Sun Jan 11 14:34:33 2015  removing 627551 relations and 501550 ideals in 126001 cliques
Sun Jan 11 14:34:34 2015  commencing in-memory singleton removal
Sun Jan 11 14:34:34 2015  begin with 2141664 relations and 2576598 unique ideals
Sun Jan 11 14:34:34 2015  reduce to 2020311 relations and 1947895 ideals in 10 passes
Sun Jan 11 14:34:34 2015  max relations containing the same ideal: 70
Sun Jan 11 14:34:35 2015  removing 105524 relations and 92851 ideals in 12673 cliques
Sun Jan 11 14:34:35 2015  commencing in-memory singleton removal
Sun Jan 11 14:34:35 2015  begin with 1914787 relations and 1947895 unique ideals
Sun Jan 11 14:34:35 2015  reduce to 1911110 relations and 1851347 ideals in 6 passes
Sun Jan 11 14:34:35 2015  max relations containing the same ideal: 66
Sun Jan 11 14:34:36 2015  relations with 0 large ideals: 161
Sun Jan 11 14:34:36 2015  relations with 1 large ideals: 702
Sun Jan 11 14:34:36 2015  relations with 2 large ideals: 9689
Sun Jan 11 14:34:36 2015  relations with 3 large ideals: 66259
Sun Jan 11 14:34:36 2015  relations with 4 large ideals: 240314
Sun Jan 11 14:34:36 2015  relations with 5 large ideals: 485078
Sun Jan 11 14:34:36 2015  relations with 6 large ideals: 563343
Sun Jan 11 14:34:36 2015  relations with 7+ large ideals: 545564
Sun Jan 11 14:34:36 2015  commencing 2-way merge
Sun Jan 11 14:34:36 2015  reduce to 1078503 relation sets and 1018739 unique ideals
Sun Jan 11 14:34:36 2015  commencing full merge
Sun Jan 11 14:34:45 2015  memory use: 116.6 MB
Sun Jan 11 14:34:45 2015  found 538667 cycles, need 530939
Sun Jan 11 14:34:45 2015  weight of 530939 cycles is about 37354281 (70.36/cycle)
Sun Jan 11 14:34:45 2015  distribution of cycle lengths:
Sun Jan 11 14:34:45 2015  1 relations: 59896
Sun Jan 11 14:34:45 2015  2 relations: 56841
Sun Jan 11 14:34:45 2015  3 relations: 57090
Sun Jan 11 14:34:45 2015  4 relations: 52499
Sun Jan 11 14:34:45 2015  5 relations: 49075
Sun Jan 11 14:34:45 2015  6 relations: 43032
Sun Jan 11 14:34:45 2015  7 relations: 38635
Sun Jan 11 14:34:45 2015  8 relations: 34140
Sun Jan 11 14:34:45 2015  9 relations: 29388
Sun Jan 11 14:34:45 2015  10+ relations: 110343
Sun Jan 11 14:34:45 2015  heaviest cycle: 21 relations
Sun Jan 11 14:34:45 2015  commencing cycle optimization
Sun Jan 11 14:34:46 2015  start with 3259325 relations
Sun Jan 11 14:34:48 2015  pruned 65946 relations
Sun Jan 11 14:34:48 2015  memory use: 110.2 MB
Sun Jan 11 14:34:48 2015  distribution of cycle lengths:
Sun Jan 11 14:34:48 2015  1 relations: 59896
Sun Jan 11 14:34:48 2015  2 relations: 57932
Sun Jan 11 14:34:48 2015  3 relations: 58780
Sun Jan 11 14:34:48 2015  4 relations: 53510
Sun Jan 11 14:34:48 2015  5 relations: 50116
Sun Jan 11 14:34:48 2015  6 relations: 43574
Sun Jan 11 14:34:48 2015  7 relations: 39251
Sun Jan 11 14:34:48 2015  8 relations: 34257
Sun Jan 11 14:34:48 2015  9 relations: 29295
Sun Jan 11 14:34:48 2015  10+ relations: 104328
Sun Jan 11 14:34:48 2015  heaviest cycle: 21 relations
Sun Jan 11 14:34:49 2015  RelProcTime: 120
Sun Jan 11 14:34:49 2015  
Sun Jan 11 14:34:49 2015  commencing linear algebra
Sun Jan 11 14:34:49 2015  read 530939 cycles
Sun Jan 11 14:34:50 2015  cycles contain 1858706 unique relations
Sun Jan 11 14:35:01 2015  read 1858706 relations
Sun Jan 11 14:35:02 2015  using 20 quadratic characters above 134216022
Sun Jan 11 14:35:08 2015  building initial matrix
Sun Jan 11 14:35:18 2015  memory use: 230.7 MB
Sun Jan 11 14:35:18 2015  read 530939 cycles
Sun Jan 11 14:35:18 2015  matrix is 530761 x 530939 (159.9 MB) with weight 50719402 (95.53/col)
Sun Jan 11 14:35:18 2015  sparse part has weight 36065231 (67.93/col)
Sun Jan 11 14:35:20 2015  filtering completed in 2 passes
Sun Jan 11 14:35:20 2015  matrix is 530084 x 530262 (159.8 MB) with weight 50693037 (95.60/col)
Sun Jan 11 14:35:20 2015  sparse part has weight 36057997 (68.00/col)
Sun Jan 11 14:35:22 2015  matrix starts at (0, 0)
Sun Jan 11 14:35:22 2015  matrix is 530084 x 530262 (159.8 MB) with weight 50693037 (95.60/col)
Sun Jan 11 14:35:22 2015  sparse part has weight 36057997 (68.00/col)
Sun Jan 11 14:35:22 2015  saving the first 48 matrix rows for later
Sun Jan 11 14:35:22 2015  matrix includes 64 packed rows
Sun Jan 11 14:35:22 2015  matrix is 530036 x 530262 (154.3 MB) with weight 40167926 (75.75/col)
Sun Jan 11 14:35:22 2015  sparse part has weight 35148527 (66.29/col)
Sun Jan 11 14:35:22 2015  using block size 65536 for processor cache size 8192 kB
Sun Jan 11 14:35:23 2015  commencing Lanczos iteration (8 threads)
Sun Jan 11 14:35:23 2015  memory use: 147.3 MB
Sun Jan 11 14:35:26 2015  linear algebra at 0.6%, ETA 0h 8m
Sun Jan 11 14:43:06 2015  lanczos halted after 8385 iterations (dim = 530036)
Sun Jan 11 14:43:06 2015  recovered 30 nontrivial dependencies
Sun Jan 11 14:43:06 2015  BLanczosTime: 497
Sun Jan 11 14:43:06 2015  
Sun Jan 11 14:43:06 2015  commencing square root phase
Sun Jan 11 14:43:06 2015  reading relations for dependency 1
Sun Jan 11 14:43:06 2015  read 265253 cycles
Sun Jan 11 14:43:07 2015  cycles contain 929614 unique relations
Sun Jan 11 14:43:16 2015  read 929614 relations
Sun Jan 11 14:43:18 2015  multiplying 929614 relations
Sun Jan 11 14:43:49 2015  multiply complete, coefficients have about 41.61 million bits
Sun Jan 11 14:43:49 2015  initial square root is modulo 942043
Sun Jan 11 14:44:27 2015  GCD is N, no factor found
Sun Jan 11 14:44:27 2015  reading relations for dependency 2
Sun Jan 11 14:44:27 2015  read 265142 cycles
Sun Jan 11 14:44:27 2015  cycles contain 930168 unique relations
Sun Jan 11 14:44:37 2015  read 930168 relations
Sun Jan 11 14:44:40 2015  multiplying 930168 relations
Sun Jan 11 14:45:10 2015  multiply complete, coefficients have about 41.63 million bits
Sun Jan 11 14:45:11 2015  initial square root is modulo 949811
Sun Jan 11 14:45:49 2015  sqrtTime: 163
--
n: 3050825598646096124354434933301865735410288943349659950537613018955240313204674162437943228993462180515952932167921
skew: 31152.85
c0: -141879306435466493307541171
c1: 17671588481063525654001
c2: 4422675815344913147
c3: 34043650231005
c4: -4244614114
c5: 19320
Y0: -10956772765291068246582
Y1: 346153172587
rlim: 4500000
alim: 4500000
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
351e61018118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
900Serge BatalovJanuary 10, 2015 07:51:08 UTC 2015 年 1 月 10 日 (土) 16 時 51 分 8 秒 (日本時間)

691×10222-79

c215

composite cofactor 合成数の残り
86858039522008634142399240938064629618401143512260848240024776478260961145168833467481427306618033042786038856601134773487318825594881156416404051729844245030980746138532559343932553024312548103036588021364001112609<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:04 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 4 秒 (日本時間)
4511e6585 / 4409CypJuly 20, 2015 00:27:55 UTC 2015 年 7 月 20 日 (月) 9 時 27 分 55 秒 (日本時間)

691×10224-79

c211

composite cofactor 合成数の残り
5859104901555482542063929814397097405832801124142959621253473500084781389940671582392107589022534742356584825512258437514110775847775864820226376581837880871662963214755031815708856912892245544679202586352935803<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:05 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 5 秒 (日本時間)
4511e6585 / 4409CypMay 15, 2015 10:45:57 UTC 2015 年 5 月 15 日 (金) 19 時 45 分 57 秒 (日本時間)

691×10225-79

c218

composite cofactor 合成数の残り
37962493422498761065871182977200900321065129098089134319474432829595432810450963859030463472076488069401849956837614642886502160337189450406726256643111456469153950567611441113874746021023208797720322669123007223851943<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:04:06 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 6 秒 (日本時間)
1CypJanuary 9, 2015 00:37:45 UTC 2015 年 1 月 9 日 (金) 9 時 37 分 45 秒 (日本時間)
4511e6585 / 4409CypJune 12, 2015 22:58:09 UTC 2015 年 6 月 13 日 (土) 7 時 58 分 9 秒 (日本時間)

691×10226-79

c221

name 名前Cyp
date 日付June 20, 2015 06:56:08 UTC 2015 年 6 月 20 日 (土) 15 時 56 分 8 秒 (日本時間)
composite number 合成数
14847479843455649987890924018554777382162272524925271248039856016231170422302313954808744938725643211574179082570868509263840097137155133519271481994023934485596179399215400290839139100832366264972719195413047510192907719<221>
prime factors 素因数
22131423920049955614802607050688501255057<41>
composite cofactor 合成数の残り
670877748177991426659333714697178583172111316402649115323496278738680535692010301200454960383670369673016157330239943745709974795638824842139258758666441438914195510135526521847767<180>
factorization results 素因数分解の結果
Run 345 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2242694902
Step 1 took 80559ms
Step 2 took 23892ms
********** Factor found in step 2: 22131423920049955614802607050688501255057
Found probable prime factor of 41 digits: 22131423920049955614802607050688501255057
Composite cofactor 670877748177991426659333714697178583172111316402649115323496278738680535692010301200454960383670369673016157330239943745709974795638824842139258758666441438914195510135526521847767 has 180 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:04:06 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 6 秒 (日本時間)
1CypJanuary 9, 2015 01:01:38 UTC 2015 年 1 月 9 日 (金) 10 時 1 分 38 秒 (日本時間)
4511e6585 / 4409CypJune 20, 2015 15:48:57 UTC 2015 年 6 月 21 日 (日) 0 時 48 分 57 秒 (日本時間)

691×10227-79

c222

composite cofactor 合成数の残り
857329342669960052050685261110321400363485308545076000881448709415986135135873859483671108066909555141481612252122172384215904263285419293168309717880208906966999433281731040003396562675098817132408040478749082294696204603<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:04:07 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 7 秒 (日本時間)
1CypJanuary 9, 2015 01:07:09 UTC 2015 年 1 月 9 日 (金) 10 時 7 分 9 秒 (日本時間)
4511e6585 / 4409CypMay 16, 2015 15:42:54 UTC 2015 年 5 月 17 日 (日) 0 時 42 分 54 秒 (日本時間)

691×10229-79

c208

composite cofactor 合成数の残り
1331495144620545995186104953434122680101612855766578333107707919221107086730463911866321681273360075424006936394726767669524748709985054242398574155777558162440112123716067389701501067362095438917063643080459<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:07 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 7 秒 (日本時間)
4511e6585 / 4409CypJuly 19, 2015 22:20:10 UTC 2015 年 7 月 20 日 (月) 7 時 20 分 10 秒 (日本時間)

691×10230-79

c191

composite cofactor 合成数の残り
14742777570797796620741948105694158491397814837461181350417470028443549282925633046015570475052184369830482460245235299612614211169275351850194201809687717418703284479355170439249926852786157<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:08 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 8 秒 (日本時間)
4511e6585 / 4409CypMay 27, 2015 05:54:51 UTC 2015 年 5 月 27 日 (水) 14 時 54 分 51 秒 (日本時間)

691×10231-79

c217

composite cofactor 合成数の残り
1203728906091256453120651361615895568482301125545570905885811271018458269290688053786497054908729385511952728462785630527567026435467063286223305019361470029105597441366664219137894627368149259288442898729254532451113<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:08 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 8 秒 (日本時間)
4511e6585 / 4409CypJuly 20, 2015 00:27:12 UTC 2015 年 7 月 20 日 (月) 9 時 27 分 12 秒 (日本時間)

691×10232-79

c213

composite cofactor 合成数の残り
212235759945202444471996079335588524939833139759028044778148584072007695904859848651337324739938520605816374573029298676849165146373576510006655195128087910252196803114732813542451819051296176345609391919420381639<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:04:09 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 9 秒 (日本時間)
1CypJanuary 9, 2015 00:44:34 UTC 2015 年 1 月 9 日 (金) 9 時 44 分 34 秒 (日本時間)
4511e6585 / 4409CypJune 1, 2015 21:03:18 UTC 2015 年 6 月 2 日 (火) 6 時 3 分 18 秒 (日本時間)

691×10234-79

c233

composite cofactor 合成数の残り
31818391122162361283786895059170235299534926555233227425519178523737164433393194271768660496385320256020629000322328130036377031818391122162361283786895059170235299534926555233227425519178523737164433393194271768660496385320256020629<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:04:10 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 10 秒 (日本時間)
1CypJanuary 9, 2015 00:47:58 UTC 2015 年 1 月 9 日 (金) 9 時 47 分 58 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 08:39:58 UTC 2015 年 1 月 10 日 (土) 17 時 39 分 58 秒 (日本時間)

691×10237-79

c229

composite cofactor 合成数の残り
8454985802071482756482858372350553561081974612737558144041236355457813266947108651797326295283925376939358142386729004969620298684376601405397668204807827315299401996947399665678905388572334752719654412560700203995868819494078033<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:10 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 10 秒 (日本時間)
4511e6585 / 4409CypMay 30, 2015 04:53:16 UTC 2015 年 5 月 30 日 (土) 13 時 53 分 16 秒 (日本時間)

691×10238-79

c218

composite cofactor 合成数の残り
53007344290752088738994397631206450831209609020360071389827611738250157742403933247377927485723814024162926714761551848811563055956881812345863838579308735161639582826338433224764322904975677005112688560299159230522691<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:11 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 11 秒 (日本時間)
4511e6585 / 4409CypFebruary 9, 2015 17:33:38 UTC 2015 年 2 月 10 日 (火) 2 時 33 分 38 秒 (日本時間)

691×10242-79

c222

name 名前Serge Batalov
date 日付January 9, 2015 03:50:18 UTC 2015 年 1 月 9 日 (金) 12 時 50 分 18 秒 (日本時間)
composite number 合成数
270622347448519768705755764440335011935524107088399770535476678374160647294357492726482547269474092680614378376838329402732644681414532517505869943854132624935102622148759570305421988446865654473673231061656103000672887919<222>
prime factors 素因数
1426616162418224720558782442964962718809<40>
189695276541514825964000096566206224460995069206175466331050481783018788716836364469231937387840002916831987511711264121837880122928700196817801357337858927212144729518378694785590791<183>
factorization results 素因数分解の結果
Input number is 270622347448519768705755764440335011935524107088399770535476678374160647294357492726482547269474092680614378376838329402732644681414532517505869943854132624935102622148759570305421988446865654473673231061656103000672887919 (222 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=392078353
Step 1 took 18208ms
Step 2 took 12240ms
********** Factor found in step 2: 1426616162418224720558782442964962718809
Found probable prime factor of 40 digits: 1426616162418224720558782442964962718809
Probable prime cofactor 189695276541514825964000096566206224460995069206175466331050481783018788716836364469231937387840002916831987511711264121837880122928700196817801357337858927212144729518378694785590791 has 183 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:04:11 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 11 秒 (日本時間)

691×10243-79

c196

name 名前Serge Batalov
date 日付January 9, 2015 03:50:22 UTC 2015 年 1 月 9 日 (金) 12 時 50 分 22 秒 (日本時間)
composite number 合成数
1206735223435074134915425267986700885859951485253598233647749002943734801163145745155925987943555997034141972228561429309859962987223554926461639753887176728944185477842225664511791997598645208027<196>
prime factors 素因数
4664413228329392069327370956607585461<37>
composite cofactor 合成数の残り
258711045605039341562756909315213076696520328340001223870171339602980630629696708550397484047967660486142377394095587159346671246481243490709906692498097481807<159>
factorization results 素因数分解の結果
Input number is 1206735223435074134915425267986700885859951485253598233647749002943734801163145745155925987943555997034141972228561429309859962987223554926461639753887176728944185477842225664511791997598645208027 (196 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=68495352
Step 1 took 16142ms
Step 2 took 10834ms
********** Factor found in step 2: 4664413228329392069327370956607585461
Found probable prime factor of 37 digits: 4664413228329392069327370956607585461
Composite cofactor 258711045605039341562756909315213076696520328340001223870171339602980630629696708550397484047967660486142377394095587159346671246481243490709906692498097481807 has 159 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:04:12 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 12 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 23:39:22 UTC 2015 年 1 月 11 日 (日) 8 時 39 分 22 秒 (日本時間)
4511e60--
5043e61200 / 7462Erik BrangerOctober 24, 2015 08:45:57 UTC 2015 年 10 月 24 日 (土) 17 時 45 分 57 秒 (日本時間)

691×10245-79

c233

name 名前Cyp
date 日付January 30, 2015 04:13:31 UTC 2015 年 1 月 30 日 (金) 13 時 13 分 31 秒 (日本時間)
composite number 合成数
12866233212377470019221694666265857833319372767849888581085349238169278454980587097388430912227579521785041538973225215450027610813202390952737552033321588733485618941709698063422453762413862916286266751655489131434118105348715228257<233>
prime factors 素因数
12062709598088879509800230375440418933<38>
composite cofactor 合成数の残り
1066612199170897262432168155218121215504366896591447349960831657609747599589965482119086257981019876280959701424697760015235706085943876023702191957786799900111468911195919226787373506049531082429<196>
factorization results 素因数分解の結果
Run 158 out of 591:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1945253734
Step 1 took 91983ms
********** Factor found in step 1: 12062709598088879509800230375440418933
Found probable prime factor of 38 digits: 12062709598088879509800230375440418933
Composite cofactor 1066612199170897262432168155218121215504366896591447349960831657609747599589965482119086257981019876280959701424697760015235706085943876023702191957786799900111468911195919226787373506049531082429 has 196 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6281CypJanuary 9, 2015 00:12:49 UTC 2015 年 1 月 9 日 (金) 9 時 12 分 49 秒 (日本時間)
4511e6591 / 4413CypJanuary 30, 2015 04:13:31 UTC 2015 年 1 月 30 日 (金) 13 時 13 分 31 秒 (日本時間)

691×10246-79

c200

composite cofactor 合成数の残り
67950516986736290336678997121786766895754249497097842984939400344746407655411123719399592772341889520057493987827275328388216254581369099332676843844072514667367003862775989283342567849592786394623627<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:13 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 13 秒 (日本時間)
4511e6585 / 4409CypJuly 19, 2015 22:13:50 UTC 2015 年 7 月 20 日 (月) 7 時 13 分 50 秒 (日本時間)

691×10249-79

c228

name 名前Serge Batalov
date 日付January 9, 2015 03:50:25 UTC 2015 年 1 月 9 日 (金) 12 時 50 分 25 秒 (日本時間)
composite number 合成数
129544196735942182969525873537581348269755669147282627539249057827479606532992954095813977123857434023327985154298722498039772092426964042750673245874222916723986896674395447893496208979473931438658328227492065833485023309715077<228>
prime factors 素因数
448551281240158071436885329984035453<36>
composite cofactor 合成数の残り
288805766818405646222124518930124153845235417396129560011624740721921512523766007318877273783456815124914920879591049631691900264894274041332397220891039729277493653017605717989512552911332009<192>
factorization results 素因数分解の結果
Input number is 129544196735942182969525873537581348269755669147282627539249057827479606532992954095813977123857434023327985154298722498039772092426964042750673245874222916723986896674395447893496208979473931438658328227492065833485023309715077 (228 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3837662740
Step 1 took 20023ms
Step 2 took 14410ms
********** Factor found in step 2: 448551281240158071436885329984035453
Found probable prime factor of 36 digits: 448551281240158071436885329984035453
Composite cofactor 288805766818405646222124518930124153845235417396129560011624740721921512523766007318877273783456815124914920879591049631691900264894274041332397220891039729277493653017605717989512552911332009 has 192 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:14 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 14 秒 (日本時間)
4511e6585 / 4409CypJune 7, 2015 07:44:24 UTC 2015 年 6 月 7 日 (日) 16 時 44 分 24 秒 (日本時間)

691×10250-79

c244

composite cofactor 合成数の残り
6639262538849978630846532790174784620281498332589567785574856602762400366587986024992261487925819371687230783128505502396440852578429620381678174646469814799923714393018878662320384420257332377767624029780953059373282844460844479816821074727251<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:04:14 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 14 秒 (日本時間)
4511e6800 / 3005Dmitry DomanovApril 29, 2015 19:55:14 UTC 2015 年 4 月 30 日 (木) 4 時 55 分 14 秒 (日本時間)
5043e6400 / 7362Dmitry DomanovApril 30, 2015 00:25:57 UTC 2015 年 4 月 30 日 (木) 9 時 25 分 57 秒 (日本時間)