Table of contents 目次

58×10110-319

c97

name 名前Serge Batalov
date 日付June 8, 2009 20:04:37 UTC 2009 年 6 月 9 日 (火) 5 時 4 分 37 秒 (日本時間)
composite number 合成数
3739362172954866891959870454158433811546691347795804580424247967542367672806713155626329363972311<97>
prime factors 素因数
64029904137894160699939453653382583511076709<44>
58400246311501793633262292351880538367399994103824779<53>
factorization results 素因数分解の結果
SNFS difficulty: 111 digits.
Divisors found:
 r1=64029904137894160699939453653382583511076709 (pp44)
 r2=58400246311501793633262292351880538367399994103824779 (pp53)
Version: Msieve v. 1.42
Total time: 0.44 hours.
Scaled time: 1.20 units (timescale=2.739).
Factorization parameters were as follows:
n: 3739362172954866891959870454158433811546691347795804580424247967542367672806713155626329363972311
m: 10000000000000000000000
deg: 5
c5: 58
c0: -31
skew: 0.88
type: snfs
lss: 1
rlim: 510000
alim: 510000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 510000/510000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [255000, 405001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 49264 x 49504
Total sieving time: 0.41 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,111.000,5,0,0,0,0,0,0,0,0,510000,510000,25,25,44,44,2.2,2.2,50000
total time: 0.44 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

58×10117-319

c116

name 名前Serge Batalov
date 日付June 8, 2009 21:21:34 UTC 2009 年 6 月 9 日 (火) 6 時 21 分 34 秒 (日本時間)
composite number 合成数
14226146676477802305616875153298994358597007603630120186411577140053961246014226146676477802305616875153298994358597<116>
prime factors 素因数
335590386834784504387239992197852758626517636211067047607<57>
42391401048926704326708187457225970435707174842995360025571<59>
factorization results 素因数分解の結果
SNFS difficulty: 119 digits.
Divisors found:
 r1=335590386834784504387239992197852758626517636211067047607 (pp57)
 r2=42391401048926704326708187457225970435707174842995360025571 (pp59)
Version: Msieve v. 1.42
Total time: 0.87 hours.
Scaled time: 2.38 units (timescale=2.736).
Factorization parameters were as follows:
n: 14226146676477802305616875153298994358597007603630120186411577140053961246014226146676477802305616875153298994358597
m: 200000000000000000000000
deg: 5
c5: 725
c0: -124
skew: 0.70
type: snfs
lss: 1
rlim: 680000
alim: 680000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 680000/680000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [340000, 640001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 76358 x 76584
Total sieving time: 0.82 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,119.000,5,0,0,0,0,0,0,0,0,680000,680000,25,25,45,45,2.2,2.2,50000
total time: 0.87 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

58×10121-319

c121

name 名前Dmitry Domanov
date 日付June 9, 2009 16:59:41 UTC 2009 年 6 月 10 日 (水) 1 時 59 分 41 秒 (日本時間)
composite number 合成数
1056466302367941712204007285974499089253187613843351548269581056466302367941712204007285974499089253187613843351548269581<121>
prime factors 素因数
464920469417375193572200232662861103514882907303691<51>
2272359192297716094864344333471243185707117555901008894066572651550791<70>
factorization results 素因数分解の結果
N=1056466302367941712204007285974499089253187613843351548269581056466302367941712204007285974499089253187613843351548269581
  ( 121 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=464920469417375193572200232662861103514882907303691 (pp51)
 r2=2272359192297716094864344333471243185707117555901008894066572651550791 (pp70)
Version: Msieve v. 1.41
Total time: 2.40 hours.
Scaled time: 4.75 units (timescale=1.982).
Factorization parameters were as follows:
n: 1056466302367941712204007285974499089253187613843351548269581056466302367941712204007285974499089253187613843351548269581
m: 2000000000000000000000000
deg: 5
c5: 145
c0: -248
skew: 1.11
type: snfs
lss: 1
rlim: 810000
alim: 810000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 810000/810000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [405000, 955001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 89180 x 89409
Total sieving time: 2.31 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,123.000,5,0,0,0,0,0,0,0,0,810000,810000,25,25,46,46,2.2,2.2,50000
total time: 2.40 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
ggnfs/msieve 1.41

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

58×10124-319

c108

name 名前Sinkiti Sibata
date 日付June 9, 2009 03:29:54 UTC 2009 年 6 月 9 日 (火) 12 時 29 分 54 秒 (日本時間)
composite number 合成数
139657609870283601668911375940815747186350774436336032162631242504400623898265616657709917390014558261623843<108>
prime factors 素因数
10365682454341659712247078164498849241329819<44>
13473074299298846240802412667099780125728616836040931580302460697<65>
factorization results 素因数分解の結果
Number: 64441_124
N=139657609870283601668911375940815747186350774436336032162631242504400623898265616657709917390014558261623843
  ( 108 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=10365682454341659712247078164498849241329819 (pp44)
 r2=13473074299298846240802412667099780125728616836040931580302460697 (pp65)
Version: Msieve-1.40
Total time: 2.53 hours.
Scaled time: 5.12 units (timescale=2.026).
Factorization parameters were as follows:
name: 64441_124
n: 139657609870283601668911375940815747186350774436336032162631242504400623898265616657709917390014558261623843
m: 10000000000000000000000000
deg: 5
c5: 29
c0: -155
skew: 1.40
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [450000, 800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 118575 x 118811
Total sieving time: 2.43 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,126.000,5,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,50000
total time: 2.53 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

58×10126-319

c90

name 名前Sinkiti Sibata
date 日付June 8, 2009 23:07:46 UTC 2009 年 6 月 9 日 (火) 8 時 7 分 46 秒 (日本時間)
composite number 合成数
740966300517896959122455501051949913568949425089984203468076083503353610890837643708247527<90>
prime factors 素因数
230317917783472779280908801355139<33>
3217145707328322487608679926740369461372781503408846476493<58>
factorization results 素因数分解の結果
Tue Jun 09 05:40:41 2009  Msieve v. 1.39
Tue Jun 09 05:40:41 2009  random seeds: dba3cd58 e3fe0ec0
Tue Jun 09 05:40:41 2009  factoring 740966300517896959122455501051949913568949425089984203468076083503353610890837643708247527 (90 digits)
Tue Jun 09 05:40:42 2009  searching for 15-digit factors
Tue Jun 09 05:40:44 2009  commencing quadratic sieve (90-digit input)
Tue Jun 09 05:40:44 2009  using multiplier of 23
Tue Jun 09 05:40:44 2009  using 64kb Pentium 4 sieve core
Tue Jun 09 05:40:44 2009  sieve interval: 18 blocks of size 65536
Tue Jun 09 05:40:44 2009  processing polynomials in batches of 6
Tue Jun 09 05:40:44 2009  using a sieve bound of 1611319 (61176 primes)
Tue Jun 09 05:40:44 2009  using large prime bound of 135350796 (27 bits)
Tue Jun 09 05:40:44 2009  using double large prime bound of 433141090259052 (42-49 bits)
Tue Jun 09 05:40:44 2009  using trial factoring cutoff of 49 bits
Tue Jun 09 05:40:44 2009  polynomial 'A' values have 12 factors
Tue Jun 09 07:58:27 2009  61458 relations (16936 full + 44522 combined from 659490 partial), need 61272
Tue Jun 09 07:58:28 2009  begin with 676426 relations
Tue Jun 09 07:58:28 2009  reduce to 148302 relations in 10 passes
Tue Jun 09 07:58:28 2009  attempting to read 148302 relations
Tue Jun 09 07:58:30 2009  recovered 148302 relations
Tue Jun 09 07:58:30 2009  recovered 127865 polynomials
Tue Jun 09 07:58:31 2009  attempting to build 61458 cycles
Tue Jun 09 07:58:31 2009  found 61458 cycles in 5 passes
Tue Jun 09 07:58:31 2009  distribution of cycle lengths:
Tue Jun 09 07:58:31 2009     length 1 : 16936
Tue Jun 09 07:58:31 2009     length 2 : 11789
Tue Jun 09 07:58:31 2009     length 3 : 10877
Tue Jun 09 07:58:31 2009     length 4 : 8015
Tue Jun 09 07:58:31 2009     length 5 : 5699
Tue Jun 09 07:58:31 2009     length 6 : 3616
Tue Jun 09 07:58:31 2009     length 7 : 2045
Tue Jun 09 07:58:31 2009     length 9+: 2481
Tue Jun 09 07:58:31 2009  largest cycle: 17 relations
Tue Jun 09 07:58:31 2009  matrix is 61176 x 61458 (14.8 MB) with weight 3643194 (59.28/col)
Tue Jun 09 07:58:31 2009  sparse part has weight 3643194 (59.28/col)
Tue Jun 09 07:58:33 2009  filtering completed in 3 passes
Tue Jun 09 07:58:33 2009  matrix is 57138 x 57201 (13.9 MB) with weight 3410202 (59.62/col)
Tue Jun 09 07:58:33 2009  sparse part has weight 3410202 (59.62/col)
Tue Jun 09 07:58:33 2009  saving the first 48 matrix rows for later
Tue Jun 09 07:58:33 2009  matrix is 57090 x 57201 (8.7 MB) with weight 2676739 (46.80/col)
Tue Jun 09 07:58:33 2009  sparse part has weight 1950038 (34.09/col)
Tue Jun 09 07:58:33 2009  matrix includes 64 packed rows
Tue Jun 09 07:58:33 2009  using block size 21845 for processor cache size 512 kB
Tue Jun 09 07:58:33 2009  commencing Lanczos iteration
Tue Jun 09 07:58:33 2009  memory use: 8.6 MB
Tue Jun 09 07:59:05 2009  lanczos halted after 905 iterations (dim = 57090)
Tue Jun 09 07:59:05 2009  recovered 18 nontrivial dependencies
Tue Jun 09 07:59:06 2009  prp33 factor: 230317917783472779280908801355139
Tue Jun 09 07:59:06 2009  prp58 factor: 3217145707328322487608679926740369461372781503408846476493
Tue Jun 09 07:59:06 2009  elapsed time 02:18:25

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

58×10127-319

c105

name 名前Sinkiti Sibata
date 日付June 9, 2009 04:50:51 UTC 2009 年 6 月 9 日 (火) 13 時 50 分 51 秒 (日本時間)
composite number 合成数
843394322927897026365377549418668488290321211203191730227702468445885249759060112943616393213835217652991<105>
prime factors 素因数
4563387659778388937693511871883853581<37>
184817592939026058870817741062463000395240787066825512930841487415611<69>
factorization results 素因数分解の結果
Number: 64441_127
N=843394322927897026365377549418668488290321211203191730227702468445885249759060112943616393213835217652991
  ( 105 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=4563387659778388937693511871883853581 (pp37)
 r2=184817592939026058870817741062463000395240787066825512930841487415611 (pp69)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 5.20 hours.
Scaled time: 2.46 units (timescale=0.473).
Factorization parameters were as follows:
name: 64441_127
n: 843394322927897026365377549418668488290321211203191730227702468445885249759060112943616393213835217652991
m: 20000000000000000000000000
deg: 5
c5: 725
c0: -124
skew: 0.70
type: snfs
lss: 1
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [500000, 950001)
Primes: RFBsize:78498, AFBsize:78647, largePrimes:2613755 encountered
Relations: rels:2478315, finalFF:176856
Max relations in full relation-set: 28
Initial matrix: 157212 x 176856 with sparse part having weight 13708487.
Pruned matrix : 151509 x 152359 with weight 9984418.
Total sieving time: 4.70 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.34 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,129,5,0,0,0,0,0,0,0,0,1000000,1000000,26,26,47,47,2.3,2.3,50000
total time: 5.20 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

58×10132-319

c110

name 名前Sinkiti Sibata
date 日付June 9, 2009 08:18:58 UTC 2009 年 6 月 9 日 (火) 17 時 18 分 58 秒 (日本時間)
composite number 合成数
23209034267342478453008918977902204295017917623204003350478450858683155607960876824016810806416786769624821511<110>
prime factors 素因数
34466753311020998457630093985809224389075193<44>
673374543227464904583619694013355768942795706554365875033955504127<66>
factorization results 素因数分解の結果
Number: 64441_132
N=23209034267342478453008918977902204295017917623204003350478450858683155607960876824016810806416786769624821511
  ( 110 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=34466753311020998457630093985809224389075193 (pp44)
 r2=673374543227464904583619694013355768942795706554365875033955504127 (pp66)
Version: Msieve-1.40
Total time: 4.57 hours.
Scaled time: 9.65 units (timescale=2.112).
Factorization parameters were as follows:
name: 64441_132
n: 23209034267342478453008918977902204295017917623204003350478450858683155607960876824016810806416786769624821511
m: 200000000000000000000000000
deg: 5
c5: 725
c0: -124
skew: 0.70
type: snfs
lss: 1
rlim: 1210000
alim: 1210000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1210000/1210000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [605000, 1205001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 205047 x 205295
Total sieving time: 4.22 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,134.000,5,0,0,0,0,0,0,0,0,1210000,1210000,26,26,47,47,2.3,2.3,75000
total time: 4.57 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 KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

58×10134-319

c127

name 名前Sinkiti Sibata
date 日付June 9, 2009 13:43:11 UTC 2009 年 6 月 9 日 (火) 22 時 43 分 11 秒 (日本時間)
composite number 合成数
1336646634212199628172054116219545703948108311669051107140593065931122376318243861956011152390469522275355700445792232258809119<127>
prime factors 素因数
271751257225613675644169237643916573741484702123<48>
4918640111763998771075163673454473204834564360412556035749135411931945947164253<79>
factorization results 素因数分解の結果
Number: 64441_134
N=1336646634212199628172054116219545703948108311669051107140593065931122376318243861956011152390469522275355700445792232258809119
  ( 127 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=271751257225613675644169237643916573741484702123 (pp48)
 r2=4918640111763998771075163673454473204834564360412556035749135411931945947164253 (pp79)
Version: Msieve-1.40
Total time: 5.11 hours.
Scaled time: 10.66 units (timescale=2.085).
Factorization parameters were as follows:
name: 64441_134
n: 1336646634212199628172054116219545703948108311669051107140593065931122376318243861956011152390469522275355700445792232258809119
m: 1000000000000000000000000000
deg: 5
c5: 29
c0: -155
skew: 1.40
type: snfs
lss: 1
rlim: 1320000
alim: 1320000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1320000/1320000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [660000, 1335001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 204143 x 204372
Total sieving time: 4.89 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1320000,1320000,26,26,48,48,2.3,2.3,75000
total time: 5.11 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 KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

58×10136-319

c103

name 名前Sinkiti Sibata
date 日付June 9, 2009 20:26:35 UTC 2009 年 6 月 10 日 (水) 5 時 26 分 35 秒 (日本時間)
composite number 合成数
4453673404518767477016279696608870096235646732603416366253344277217826059089646595306167583295118784631<103>
prime factors 素因数
633355274586104563509265411646604936091<39>
7031872289102237803989792955009556850261052778421728047172153941<64>
factorization results 素因数分解の結果
Number: 64441_136
N=4453673404518767477016279696608870096235646732603416366253344277217826059089646595306167583295118784631
  ( 103 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=633355274586104563509265411646604936091 (pp39)
 r2=7031872289102237803989792955009556850261052778421728047172153941 (pp64)
Version: Msieve-1.40
Total time: 6.33 hours.
Scaled time: 13.23 units (timescale=2.092).
Factorization parameters were as follows:
name: 64441_136
n: 4453673404518767477016279696608870096235646732603416366253344277217826059089646595306167583295118784631
m: 2000000000000000000000000000
deg: 5
c5: 145
c0: -248
skew: 1.11
type: snfs
lss: 1
rlim: 1430000
alim: 1430000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1430000/1430000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [715000, 1540001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 221217 x 221449
Total sieving time: 6.01 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,138.000,5,0,0,0,0,0,0,0,0,1430000,1430000,26,26,48,48,2.3,2.3,75000
total time: 6.33 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

58×10139-319

c133

name 名前Sinkiti Sibata
date 日付June 9, 2009 20:22:30 UTC 2009 年 6 月 10 日 (水) 5 時 22 分 30 秒 (日本時間)
composite number 合成数
7492312532103105949786185547559062061162821631251861694339200059483794392807555650992115878275808584900967323428573672574393851570649<133>
prime factors 素因数
30526319028262238359498114223427853590308640702586934246165653<62>
245437798286995703352529829459865094652787031237088609961669260962599733<72>
factorization results 素因数分解の結果
Number: 64441_139
N=7492312532103105949786185547559062061162821631251861694339200059483794392807555650992115878275808584900967323428573672574393851570649
  ( 133 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=30526319028262238359498114223427853590308640702586934246165653 (pp62)
 r2=245437798286995703352529829459865094652787031237088609961669260962599733 (pp72)
Version: Msieve-1.40
Total time: 7.19 hours.
Scaled time: 18.43 units (timescale=2.564).
Factorization parameters were as follows:
name: 64441_139
n: 7492312532103105949786185547559062061162821631251861694339200059483794392807555650992115878275808584900967323428573672574393851570649
m: 10000000000000000000000000000
deg: 5
c5: 29
c0: -155
skew: 1.40
type: snfs
lss: 1
rlim: 1600000
alim: 1600000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [800000, 1800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 254885 x 255133
Total sieving time: 7.19 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1600000,1600000,26,26,48,48,2.3,2.3,100000
total time: 7.19 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

58×10142-319

c130

name 名前Jo Yeong Uk
date 日付June 10, 2009 10:50:29 UTC 2009 年 6 月 10 日 (水) 19 時 50 分 29 秒 (日本時間)
composite number 合成数
1337340308640589620461913848808391038150893661277969899138772830138477829834862994727105090713233954169870052955561019646391117869<130>
prime factors 素因数
1527327053387300561922655200517536151<37>
875608341824785328181448860447816700700338797768291942567678323978198356949700451593224781019<93>
factorization results 素因数分解の結果
Number: 64441_142
N=1337340308640589620461913848808391038150893661277969899138772830138477829834862994727105090713233954169870052955561019646391117869
  ( 130 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=1527327053387300561922655200517536151
 r2=875608341824785328181448860447816700700338797768291942567678323978198356949700451593224781019
Version: 
Total time: 5.36 hours.
Scaled time: 12.80 units (timescale=2.390).
Factorization parameters were as follows:
n: 1337340308640589620461913848808391038150893661277969899138772830138477829834862994727105090713233954169870052955561019646391117869
m: 20000000000000000000000000000
deg: 5
c5: 725
c0: -124
skew: 0.70
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 2350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4659016
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 353852 x 354100
Total sieving time: 4.60 hours.
Total relation processing time: 0.47 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,2400000,2400000,26,26,49,49,2.3,2.3,50000
total time: 5.36 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673795)
Calibrating delay using timer specific routine.. 5344.71 BogoMIPS (lpj=2672355)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672378)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672339)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

58×10143-319

c139

name 名前Robert Backstrom
date 日付June 9, 2009 23:16:27 UTC 2009 年 6 月 10 日 (水) 8 時 16 分 27 秒 (日本時間)
composite number 合成数
3450267663437097158942528653580634242478862649008434714689633551830456226513641347055880654051774240658549019677828282557885675975845746861<139>
prime factors 素因数
342602696066354823193997798573370772650604826459<48>
10070754559295277760249566975349829558487644575316533280632068011095277845540303297091747479<92>
factorization results 素因数分解の結果
Number: n
N=3450267663437097158942528653580634242478862649008434714689633551830456226513641347055880654051774240658549019677828282557885675975845746861
  ( 139 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=342602696066354823193997798573370772650604826459 (pp48)
 r2=10070754559295277760249566975349829558487644575316533280632068011095277845540303297091747479 (pp92)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 9.29 hours.
Scaled time: 24.72 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_6_4_142_1
n: 3450267663437097158942528653580634242478862649008434714689633551830456226513641347055880654051774240658549019677828282557885675975845746861
m: 50000000000000000000000000000
deg: 5
c5: 464
c0: -775
skew: 1.11
type: snfs
lss: 1
rlim: 1920000
alim: 1920000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.3
alambda: 2.3
qintsize: 100000
Factor base limits: 1920000/1920000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved rational special-q in [960000, 2560001)
Primes: RFBsize:143414, AFBsize:143328, largePrimes:7362448 encountered
Relations: rels:6792022, finalFF:324534
Max relations in full relation-set: 28
Initial matrix: 286809 x 324534 with sparse part having weight 33806415.
Pruned matrix : 273676 x 275174 with weight 26500476.
Total sieving time: 8.45 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.31 hours.
Total square root time: 0.36 hours, sqrts: 4.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1920000,1920000,28,28,56,56,2.3,2.3,100000
total time: 9.29 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 KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

58×10147-319

c139

name 名前Robert Backstrom
date 日付June 11, 2009 01:55:07 UTC 2009 年 6 月 11 日 (木) 10 時 55 分 7 秒 (日本時間)
composite number 合成数
2959807037070370077701588675503483600950004631059528994363964170551323205253630464699789086748024196236570518498067476640101738676115451773<139>
prime factors 素因数
1676223678292203960049128169722890860607910437181707<52>
1765758994698086055170520278368619003216331480155940049496103700209244596464918718463639<88>
factorization results 素因数分解の結果
Number: n
N=2959807037070370077701588675503483600950004631059528994363964170551323205253630464699789086748024196236570518498067476640101738676115451773
  ( 139 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=1676223678292203960049128169722890860607910437181707 (pp52)
 r2=1765758994698086055170520278368619003216331480155940049496103700209244596464918718463639 (pp88)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 12.28 hours.
Scaled time: 32.52 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_6_4_146_1
n: 2959807037070370077701588675503483600950004631059528994363964170551323205253630464699789086748024196236570518498067476640101738676115451773
m: 200000000000000000000000000000
deg: 5
c5: 725
c0: -124
skew: 0.70
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.3
alambda: 2.3
qintsize: 100000
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved rational special-q in [1100000, 3200001)
Primes: RFBsize:162662, AFBsize:163211, largePrimes:8173952 encountered
Relations: rels:7706656, finalFF:392959
Max relations in full relation-set: 28
Initial matrix: 325940 x 392959 with sparse part having weight 44229416.
Pruned matrix : 301299 x 302992 with weight 32110514.
Total sieving time: 11.27 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.42 hours.
Total square root time: 0.44 hours, sqrts: 5.
Prototype def-par.txt line would be:
snfs,149,5,0,0,0,0,0,0,0,0,2200000,2200000,28,28,56,56,2.3,2.3,100000
total time: 12.28 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 KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

58×10152-319

c119

name 名前Robert Backstrom
date 日付June 17, 2009 06:46:12 UTC 2009 年 6 月 17 日 (水) 15 時 46 分 12 秒 (日本時間)
composite number 合成数
12536432122867372519200253053164652442871301443065502726646145676657703651611969289789345370155994930176926330039557577<119>
prime factors 素因数
29094058807903755108349233484470242778633421481941<50>
430893200761032977032832794015273047754856060570037729587831660047397<69>
factorization results 素因数分解の結果
Number: n
N=12536432122867372519200253053164652442871301443065502726646145676657703651611969289789345370155994930176926330039557577
  ( 119 digits)
SNFS difficulty: 154 digits.
Divisors found:

Wed Jun 17 16:40:36 2009  prp50 factor: 29094058807903755108349233484470242778633421481941
Wed Jun 17 16:40:36 2009  prp69 factor: 430893200761032977032832794015273047754856060570037729587831660047397
Wed Jun 17 16:40:36 2009  elapsed time 00:30:16 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 15.52 hours.
Scaled time: 41.27 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_6_4_151_1
n: 12536432122867372519200253053164652442871301443065502726646145676657703651611969289789345370155994930176926330039557577
m: 2000000000000000000000000000000
deg: 5
c5: 725
c0: -124
skew: 0.70
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1300000, 2305363)
Primes: RFBsize:189880, AFBsize:190566, largePrimes:11573313 encountered
Relations: rels:10680437, finalFF:303015
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 939344 hash collisions in 11511210 relations
Msieve: matrix is 472487 x 472735 (126.7 MB)

Total sieving time: 15.33 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,2600000,2600000,28,28,56,56,2.4,2.4,100000
total time: 15.52 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 KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

58×10153-319

c111

name 名前Jo Yeong Uk
date 日付June 10, 2009 23:03:10 UTC 2009 年 6 月 11 日 (木) 8 時 3 分 10 秒 (日本時間)
composite number 合成数
135279302517329798555025774871892764507712533727343188426012269005859259034731526227526481196165806601223053551<111>
prime factors 素因数
17078280205792035788335884856822731960474470615281<50>
7921131453941733646557818615716638624170555497980778464200671<61>
factorization results 素因数分解の結果
Number: 64441_153
N=135279302517329798555025774871892764507712533727343188426012269005859259034731526227526481196165806601223053551
  ( 111 digits)
Divisors found:
 r1=17078280205792035788335884856822731960474470615281
 r2=7921131453941733646557818615716638624170555497980778464200671
Version: 
Total time: 10.01 hours.
Scaled time: 23.92 units (timescale=2.390).
Factorization parameters were as follows:
name: 64441_153
n: 135279302517329798555025774871892764507712533727343188426012269005859259034731526227526481196165806601223053551
skew: 23605.40
# norm 1.03e+15
c5: 22800
c4: 2606101498
c3: -45023322297711
c2: -1636176262836888459
c1: 13673763986598234398219
c0: -27225391059235964049208347
# alpha -5.58
Y1: 181355987777
Y0: -1427769303683968481770
# Murphy_E 9.32e-10
# M 81165317231035287838596792647390099905123823365903785899096838405611340060018680107531939427877027642720548542
type: gnfs
rlim: 2100000
alim: 2100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [1050000, 1800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8141639
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 387419 x 387667
Polynomial selection time: 0.76 hours.
Total sieving time: 8.27 hours.
Total relation processing time: 0.58 hours.
Matrix solve time: 0.31 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2100000,2100000,27,27,51,51,2.6,2.6,50000
total time: 10.01 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673795)
Calibrating delay using timer specific routine.. 5344.71 BogoMIPS (lpj=2672355)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672378)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672339)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
786Jo Yeong UkJune 10, 2009 10:23:54 UTC 2009 年 6 月 10 日 (水) 19 時 23 分 54 秒 (日本時間)

58×10157-319

c116

name 名前Jo Yeong Uk
date 日付June 10, 2009 12:17:29 UTC 2009 年 6 月 10 日 (水) 21 時 17 分 29 秒 (日本時間)
composite number 合成数
67343369134565438844901431185162974421508417199500632120324380433626581713504247852334181996419224033954426575162507<116>
prime factors 素因数
37727530996966089900393367642062277<35>
1174640614178015563795193560615453921<37>
1519607549694666831724736274979975973591058671<46>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 67343369134565438844901431185162974421508417199500632120324380433626581713504247852334181996419224033954426575162507 (116 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3241163861
Step 1 took 4758ms
Step 2 took 4056ms
********** Factor found in step 2: 37727530996966089900393367642062277
Found probable prime factor of 35 digits: 37727530996966089900393367642062277
Composite cofactor 1784992745482892754448907629357284460115231211814851591365797111193768269607998991 has 82 digits
Wed Jun 10 20:58:37 2009  
Wed Jun 10 20:58:37 2009  
Wed Jun 10 20:58:37 2009  Msieve v. 1.39
Wed Jun 10 20:58:37 2009  random seeds: 09b54ec4 e4f52600
Wed Jun 10 20:58:37 2009  factoring 1784992745482892754448907629357284460115231211814851591365797111193768269607998991 (82 digits)
Wed Jun 10 20:58:38 2009  searching for 15-digit factors
Wed Jun 10 20:58:39 2009  commencing quadratic sieve (82-digit input)
Wed Jun 10 20:58:39 2009  using multiplier of 2
Wed Jun 10 20:58:39 2009  using VC8 32kb sieve core
Wed Jun 10 20:58:39 2009  sieve interval: 12 blocks of size 32768
Wed Jun 10 20:58:39 2009  processing polynomials in batches of 17
Wed Jun 10 20:58:39 2009  using a sieve bound of 1334353 (51039 primes)
Wed Jun 10 20:58:39 2009  using large prime bound of 126763535 (26 bits)
Wed Jun 10 20:58:39 2009  using trial factoring cutoff of 27 bits
Wed Jun 10 20:58:39 2009  polynomial 'A' values have 10 factors
Wed Jun 10 21:12:23 2009  51267 relations (26158 full + 25109 combined from 276608 partial), need 51135
Wed Jun 10 21:12:26 2009  begin with 302766 relations
Wed Jun 10 21:12:26 2009  reduce to 73151 relations in 2 passes
Wed Jun 10 21:12:26 2009  attempting to read 73151 relations
Wed Jun 10 21:12:26 2009  recovered 73151 relations
Wed Jun 10 21:12:26 2009  recovered 63902 polynomials
Wed Jun 10 21:12:26 2009  attempting to build 51267 cycles
Wed Jun 10 21:12:26 2009  found 51267 cycles in 1 passes
Wed Jun 10 21:12:26 2009  distribution of cycle lengths:
Wed Jun 10 21:12:26 2009     length 1 : 26158
Wed Jun 10 21:12:26 2009     length 2 : 25109
Wed Jun 10 21:12:26 2009  largest cycle: 2 relations
Wed Jun 10 21:12:26 2009  matrix is 51039 x 51267 (7.7 MB) with weight 1598396 (31.18/col)
Wed Jun 10 21:12:26 2009  sparse part has weight 1598396 (31.18/col)
Wed Jun 10 21:12:27 2009  filtering completed in 4 passes
Wed Jun 10 21:12:27 2009  matrix is 36342 x 36406 (6.0 MB) with weight 1273006 (34.97/col)
Wed Jun 10 21:12:27 2009  sparse part has weight 1273006 (34.97/col)
Wed Jun 10 21:12:27 2009  saving the first 48 matrix rows for later
Wed Jun 10 21:12:27 2009  matrix is 36294 x 36406 (4.5 MB) with weight 1009038 (27.72/col)
Wed Jun 10 21:12:27 2009  sparse part has weight 825277 (22.67/col)
Wed Jun 10 21:12:27 2009  matrix includes 64 packed rows
Wed Jun 10 21:12:27 2009  using block size 14562 for processor cache size 4096 kB
Wed Jun 10 21:12:27 2009  commencing Lanczos iteration
Wed Jun 10 21:12:27 2009  memory use: 4.3 MB
Wed Jun 10 21:12:31 2009  lanczos halted after 576 iterations (dim = 36292)
Wed Jun 10 21:12:31 2009  recovered 17 nontrivial dependencies
Wed Jun 10 21:12:31 2009  prp37 factor: 1174640614178015563795193560615453921
Wed Jun 10 21:12:31 2009  prp46 factor: 1519607549694666831724736274979975973591058671
Wed Jun 10 21:12:31 2009  elapsed time 00:13:54
software ソフトウェア
GMP-ECM 6.2.3 / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

58×10159-319

c148

name 名前Sinkiti Sibata
date 日付June 10, 2009 20:47:55 UTC 2009 年 6 月 11 日 (木) 5 時 47 分 55 秒 (日本時間)
composite number 合成数
3290739008831356339219803947719937682395452958069035022616313113583137251250683536978098961627564466067632336829533503848993054608278016739537539771<148>
prime factors 素因数
209900031606919638060250968011950579085083<42>
15677648943826422381981429129925161545478792495477603112103677976852749787973098495048186703923564765299937<107>
factorization results 素因数分解の結果
Number: 64441_159
N=3290739008831356339219803947719937682395452958069035022616313113583137251250683536978098961627564466067632336829533503848993054608278016739537539771
  ( 148 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=209900031606919638060250968011950579085083 (pp42)
 r2=15677648943826422381981429129925161545478792495477603112103677976852749787973098495048186703923564765299937 (pp107)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 63.25 hours.
Scaled time: 162.17 units (timescale=2.564).
Factorization parameters were as follows:
name: 64441_159
n: 3290739008831356339219803947719937682395452958069035022616313113583137251250683536978098961627564466067632336829533503848993054608278016739537539771
m: 100000000000000000000000000000000
deg: 5
c5: 29
c0: -155
skew: 1.40
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1200000, 3700001)
Primes: RFBsize:176302, AFBsize:176834, largePrimes:9998293 encountered
Relations: rels:11718185, finalFF:504709
Max relations in full relation-set: 28
Initial matrix: 353201 x 504709 with sparse part having weight 72785254.
Pruned matrix : 312059 x 313889 with weight 49222426.
Total sieving time: 61.84 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.08 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,51,51,2.4,2.4,100000
total time: 63.25 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

58×10161-319

c160

name 名前Dmitry Domanov
date 日付June 9, 2009 16:25:19 UTC 2009 年 6 月 10 日 (水) 1 時 25 分 19 秒 (日本時間)
composite number 合成数
1374081971096896470030798389007344231224828239753612887941246150201374081971096896470030798389007344231224828239753612887941246150201374081971096896470030798389<160>
prime factors 素因数
4093134095623509822924789862483442313088777192093517929121<58>
335704117919347485954227762146677853991802972588438738421183653051486156771646723097088789614286700309<102>
factorization results 素因数分解の結果
N=1374081971096896470030798389007344231224828239753612887941246150201374081971096896470030798389007344231224828239753612887941246150201374081971096896470030798389
  ( 160 digits)
SNFS difficulty: 163 digits.
Divisors found:
r1=4093134095623509822924789862483442313088777192093517929121 (pp58)
r2=335704117919347485954227762146677853991802972588438738421183653051486156771646723097088789614286700309 (pp102)
Version: Msieve v. 1.41
Total time: 34.54 hours.
Scaled time: 68.66 units (timescale=1.988).
Factorization parameters were as follows:
n: 1374081971096896470030798389007344231224828239753612887941246150201374081971096896470030798389007344231224828239753612887941246150201374081971096896470030798389
m: 200000000000000000000000000000000
deg: 5
c5: 145
c0: -248
skew: 1.11
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1850000, 3750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 703581 x 703829
Total sieving time: 33.57 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.76 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 34.54 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
ggnfs/msieve 1.41

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

58×10162-319

c118

name 名前Robert Backstrom
date 日付June 18, 2009 05:08:25 UTC 2009 年 6 月 18 日 (木) 14 時 8 分 25 秒 (日本時間)
composite number 合成数
1469451550397554580732676837059180360646094335779406648161528362300117656219537283085352644318514476025995697119786087<118>
prime factors 素因数
24954118155618919079580333638817425652891937701291029<53>
58886134193713359403521657026257990804220556027035516543340997003<65>
factorization results 素因数分解の結果
Number: n
N=1469451550397554580732676837059180360646094335779406648161528362300117656219537283085352644318514476025995697119786087
  ( 118 digits)
Divisors found:

Thu Jun 18 14:54:49 2009  prp53 factor: 24954118155618919079580333638817425652891937701291029
Thu Jun 18 14:54:49 2009  prp65 factor: 58886134193713359403521657026257990804220556027035516543340997003
Thu Jun 18 14:54:49 2009  elapsed time 00:47:19 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 26.24 hours.
Scaled time: 69.80 units (timescale=2.660).
Factorization parameters were as follows:
n: 1469451550397554580732676837059180360646094335779406648161528362300117656219537283085352644318514476025995697119786087
Y0: -46893879102853055658803
Y1:  3141268982191
c0: -3760144619058917366194126238400
c1:  68800418075202982299435180
c2:  44964992749753915636
c3: -1417804088061757
c4: -118330278
c5:  6480
skew: 268641.15
type: gnfs
name: KA_6_4_161_1
rlim: 4500000
alim: 4500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 50000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2250000, 3700000)
Primes: RFBsize:315948, AFBsize:316236, largePrimes:14559686 encountered
Relations: rels:13791475, finalFF:805925
Max relations in full relation-set: 28
Initial matrix: 632261 x 805925 with sparse part having weight 75126954.
Pruned matrix : 490038 x 493263 with weight 46026915.

Msieve: found 1187436 hash collisions in 14695534 relations
Msieve: matrix is 563385 x 563633 (154.8 MB)

Total sieving time: 25.17 hours.
Total relation processing time: 0.67 hours.
Matrix solve time: 0.41 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,28,28,56,56,2.4,2.4,60000
total time: 26.24 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

58×10164-319

c145

name 名前Serge Batalov
date 日付June 8, 2009 18:03:03 UTC 2009 年 6 月 9 日 (火) 3 時 3 分 3 秒 (日本時間)
composite number 合成数
2874581630954926886366006749075315610256412391927783472310441356774211437870002675615548024544290655760604700022476245778865872549734942346844263<145>
prime factors 素因数
2153842407797207605842854513620151<34>
1334629507037536053292771611266454391010528184018975178657665649995918628661229565400499790650495782091540687313<112>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3471677956
Step 1 took 9761ms
Step 2 took 9648ms
********** Factor found in step 2: 2153842407797207605842854513620151
Found probable prime factor of 34 digits: 2153842407797207605842854513620151
Probable prime cofactor has 112 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

58×10166-319

c153

name 名前Robert Backstrom
date 日付June 10, 2009 06:23:38 UTC 2009 年 6 月 10 日 (水) 15 時 23 分 38 秒 (日本時間)
composite number 合成数
191303484973767908831484385073305410609307331952420749269253261812451372451202115512906550164548598382034855111281939724339195680624834936274137697865471<153>
prime factors 素因数
278920477089003851435716097376075149113<39>
685871066084268679784539153202401450105862248666859370968796776773667518547705937015346850643694246601536809957367<114>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 191303484973767908831484385073305410609307331952420749269253261812451372451202115512906550164548598382034855111281939724339195680624834936274137697865471 (153 digits)
Using B1=2144000, B2=2854157680, polynomial Dickson(6), sigma=333789588
Step 1 took 32822ms
Step 2 took 10920ms
********** Factor found in step 2: 278920477089003851435716097376075149113
Found probable prime factor of 39 digits: 278920477089003851435716097376075149113
Probable prime cofactor 685871066084268679784539153202401450105862248666859370968796776773667518547705937015346850643694246601536809957367 has 114 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

58×10169-319

c125

name 名前Sinkiti Sibata
date 日付June 15, 2009 20:32:51 UTC 2009 年 6 月 16 日 (火) 5 時 32 分 51 秒 (日本時間)
composite number 合成数
13135546117328753501423666515409815427710732848545414983081187338314684998812020480051106583513231610413546102918990665559351<125>
prime factors 素因数
36034728933765103515768049208221872190779947<44>
364524626825221980305319507663534157249009284349617294059232336100323699966871333<81>
factorization results 素因数分解の結果
Number: 64441_169
N=13135546117328753501423666515409815427710732848545414983081187338314684998812020480051106583513231610413546102918990665559351
  ( 125 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=36034728933765103515768049208221872190779947 (pp44)
 r2=364524626825221980305319507663534157249009284349617294059232336100323699966871333 (pp81)
Version: Msieve-1.40
Total time: 93.24 hours.
Scaled time: 193.10 units (timescale=2.071).
Factorization parameters were as follows:
name: 64441_169
n: 13135546117328753501423666515409815427710732848545414983081187338314684998812020480051106583513231610413546102918990665559351
m: 10000000000000000000000000000000000
deg: 5
c5: 29
c0: -155
skew: 1.40
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 6000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 984133 x 984381
Total sieving time: 88.91 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 3.87 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 93.24 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

58×10170-319

c123

name 名前Robert Backstrom
date 日付June 12, 2009 07:10:03 UTC 2009 年 6 月 12 日 (金) 16 時 10 分 3 秒 (日本時間)
composite number 合成数
126860047675128132169603270822647353763372688138270885678320514382587885062124855513027762727451661980145945623709000564831<123>
prime factors 素因数
27416182426948821032662997588959<32>
6011521421939298650741516574098777995571<40>
769721273997214419353641424757016755761153869254779<51>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 126860047675128132169603270822647353763372688138270885678320514382587885062124855513027762727451661980145945623709000564831 (123 digits)
Using B1=1126000, B2=1426247560, polynomial Dickson(6), sigma=549957117
Step 1 took 12526ms
Step 2 took 5538ms
********** Factor found in step 2: 27416182426948821032662997588959
Found probable prime factor of 32 digits: 27416182426948821032662997588959
Composite cofactor 4627195927556662930387117089244536456548756868507521993484225731016745702838244073132583809 has 91 digits


Fri Jun 12 03:07:29 2009  
Fri Jun 12 03:07:29 2009  
Fri Jun 12 03:07:29 2009  Msieve v. 1.39
Fri Jun 12 03:07:29 2009  random seeds: 9fa1bc80 84361ee3
Fri Jun 12 03:07:29 2009  factoring 4627195927556662930387117089244536456548756868507521993484225731016745702838244073132583809 (91 digits)
Fri Jun 12 03:07:29 2009  searching for 15-digit factors
Fri Jun 12 03:07:30 2009  commencing quadratic sieve (91-digit input)
Fri Jun 12 03:07:31 2009  using multiplier of 1
Fri Jun 12 03:07:31 2009  using 32kb Intel Core sieve core
Fri Jun 12 03:07:31 2009  sieve interval: 36 blocks of size 32768
Fri Jun 12 03:07:31 2009  processing polynomials in batches of 6
Fri Jun 12 03:07:31 2009  using a sieve bound of 1719863 (64638 primes)
Fri Jun 12 03:07:31 2009  using large prime bound of 165106848 (27 bits)
Fri Jun 12 03:07:31 2009  using double large prime bound of 619408411789728 (42-50 bits)
Fri Jun 12 03:07:31 2009  using trial factoring cutoff of 50 bits
Fri Jun 12 03:07:31 2009  polynomial 'A' values have 12 factors
Fri Jun 12 03:55:07 2009  65166 relations (17594 full + 47572 combined from 752863 partial), need 64734
Fri Jun 12 03:55:07 2009  begin with 770457 relations
Fri Jun 12 03:55:07 2009  reduce to 158313 relations in 10 passes
Fri Jun 12 03:55:08 2009  attempting to read 158313 relations
Fri Jun 12 03:55:09 2009  recovered 158313 relations
Fri Jun 12 03:55:09 2009  recovered 131545 polynomials
Fri Jun 12 03:55:09 2009  attempting to build 65166 cycles
Fri Jun 12 03:55:09 2009  found 65166 cycles in 6 passes
Fri Jun 12 03:55:09 2009  distribution of cycle lengths:
Fri Jun 12 03:55:09 2009     length 1 : 17594
Fri Jun 12 03:55:09 2009     length 2 : 12629
Fri Jun 12 03:55:09 2009     length 3 : 11508
Fri Jun 12 03:55:09 2009     length 4 : 8635
Fri Jun 12 03:55:09 2009     length 5 : 6203
Fri Jun 12 03:55:09 2009     length 6 : 3787
Fri Jun 12 03:55:09 2009     length 7 : 2250
Fri Jun 12 03:55:09 2009     length 9+: 2560
Fri Jun 12 03:55:09 2009  largest cycle: 20 relations
Fri Jun 12 03:55:09 2009  matrix is 64638 x 65166 (15.7 MB) with weight 3857023 (59.19/col)
Fri Jun 12 03:55:09 2009  sparse part has weight 3857023 (59.19/col)
Fri Jun 12 03:55:09 2009  filtering completed in 3 passes
Fri Jun 12 03:55:09 2009  matrix is 59917 x 59981 (14.5 MB) with weight 3559319 (59.34/col)
Fri Jun 12 03:55:09 2009  sparse part has weight 3559319 (59.34/col)
Fri Jun 12 03:55:09 2009  saving the first 48 matrix rows for later
Fri Jun 12 03:55:09 2009  matrix is 59869 x 59981 (9.0 MB) with weight 2774733 (46.26/col)
Fri Jun 12 03:55:09 2009  sparse part has weight 2007036 (33.46/col)
Fri Jun 12 03:55:09 2009  matrix includes 64 packed rows
Fri Jun 12 03:55:09 2009  using block size 23992 for processor cache size 6144 kB
Fri Jun 12 03:55:10 2009  commencing Lanczos iteration
Fri Jun 12 03:55:10 2009  memory use: 8.9 MB
Fri Jun 12 03:55:22 2009  lanczos halted after 949 iterations (dim = 59869)
Fri Jun 12 03:55:22 2009  recovered 17 nontrivial dependencies
Fri Jun 12 03:55:23 2009  prp40 factor: 6011521421939298650741516574098777995571
Fri Jun 12 03:55:23 2009  prp51 factor: 769721273997214419353641424757016755761153869254779
Fri Jun 12 03:55:23 2009  elapsed time 00:47:54

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

58×10171-319

c164

name 名前Sinkiti Sibata
date 日付June 15, 2009 08:21:55 UTC 2009 年 6 月 15 日 (月) 17 時 21 分 55 秒 (日本時間)
composite number 合成数
15290452386363939446525848048541105999225523296178280103094019270493344440033228019525273934498184829930241610767876967583025349943732440179203332172996263714952183<164>
prime factors 素因数
152397504383392681380161331359317911517374557<45>
100332695395700957993833618354525485896082262537839241810909027600644295331161884483270160049035739884288720424176670819<120>
factorization results 素因数分解の結果
Number: 64441_171
N=15290452386363939446525848048541105999225523296178280103094019270493344440033228019525273934498184829930241610767876967583025349943732440179203332172996263714952183
  ( 164 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=152397504383392681380161331359317911517374557 (pp45)
 r2=100332695395700957993833618354525485896082262537839241810909027600644295331161884483270160049035739884288720424176670819 (pp120)
Version: Msieve-1.40
Total time: 101.26 hours.
Scaled time: 257.59 units (timescale=2.544).
Factorization parameters were as follows:
name: 64441_171
n: 15290452386363939446525848048541105999225523296178280103094019270493344440033228019525273934498184829930241610767876967583025349943732440179203332172996263714952183
m: 20000000000000000000000000000000000
deg: 5
c5: 145
c0: -248
skew: 1.11
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2750000, 6950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1067207 x 1067455
Total sieving time: 101.26 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 101.26 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 KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

58×10172-319

c163

name 名前Ignacio Santos
date 日付September 26, 2009 23:58:48 UTC 2009 年 9 月 27 日 (日) 8 時 58 分 48 秒 (日本時間)
composite number 合成数
4589361028702920399805711594247925927718250761973469099858784342783424252977537814598297905914338911400846931684460461245752456034671923153229789295463220704096117<163>
prime factors 素因数
7434039565736917357902408688727950296148541622746377622861130440219054119<73>
617344175817281752770171093631930863567548241523686189857572426999876286631986362431351043<90>
factorization results 素因数分解の結果
Number: 64441_172
N=4589361028702920399805711594247925927718250761973469099858784342783424252977537814598297905914338911400846931684460461245752456034671923153229789295463220704096117
  ( 163 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=7434039565736917357902408688727950296148541622746377622861130440219054119 (pp73)
 r2=617344175817281752770171093631930863567548241523686189857572426999876286631986362431351043 (pp90)
Version: Msieve-1.40
Total time: 92.31 hours.
Scaled time: 160.53 units (timescale=1.739).
Factorization parameters were as follows:
n: 4589361028702920399805711594247925927718250761973469099858784342783424252977537814598297905914338911400846931684460461245752456034671923153229789295463220704096117
m: 20000000000000000000000000000000000
deg: 5
c5: 725
c0: -124
skew: 0.70
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 7400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1134846 x 1135078
Total sieving time: 90.32 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.73 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 92.31 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiSeptember 13, 2009 07:35:26 UTC 2009 年 9 月 13 日 (日) 16 時 35 分 26 秒 (日本時間)

58×10173-319

c118

name 名前Robert Backstrom
date 日付June 11, 2009 15:25:04 UTC 2009 年 6 月 12 日 (金) 0 時 25 分 4 秒 (日本時間)
composite number 合成数
1195889777350299605771289107018392405410588807124263934343162265572375663837663946874692414404316491260057477983979093<118>
prime factors 素因数
3252686432044830575611644891450269629<37>
367662177813584306398113689094894372531220364516609385149063751165849999660842617<81>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 1195889777350299605771289107018392405410588807124263934343162265572375663837663946874692414404316491260057477983979093 (118 digits)
Using B1=4518000, B2=8562077170, polynomial Dickson(6), sigma=2004421685
Step 1 took 50653ms
Step 2 took 14851ms
********** Factor found in step 2: 3252686432044830575611644891450269629
Found probable prime factor of 37 digits: 3252686432044830575611644891450269629
Probable prime cofactor 367662177813584306398113689094894372531220364516609385149063751165849999660842617 has 81 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

58×10175-319

c111

name 名前Serge Batalov
date 日付June 8, 2009 17:27:30 UTC 2009 年 6 月 9 日 (火) 2 時 27 分 30 秒 (日本時間)
composite number 合成数
152306823878289245857758633117356354500598766874524111727549890902557939031575198963870011879199052678143170571<111>
prime factors 素因数
454908773934063966445433989859<30>
334807400088451839410571141352346615537487208329487130708430760155293207884291769<81>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3320324933
Step 1 took 5604ms
Step 2 took 6120ms
********** Factor found in step 2: 454908773934063966445433989859
Found probable prime factor of 30 digits: 454908773934063966445433989859
Probable prime cofactor has 81 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

58×10176-319

c126

name 名前Warut Roonguthai
date 日付November 9, 2011 20:04:58 UTC 2011 年 11 月 10 日 (木) 5 時 4 分 58 秒 (日本時間)
composite number 合成数
139785628709190419573524116465890343609100680049349253074883503923756109369504683895789797375858964658967118317595391618749851<126>
prime factors 素因数
358072167863151707431428193307353080469<39>
390383954003969940286270096382539177530225312863374321521478772945307454339748084071279<87>
factorization results 素因数分解の結果
N = 139785628709190419573524116465890343609100680049349253074883503923756109369504683895789797375858964658967118317595391618749851 (126 digits)
Divisors found:
r1=358072167863151707431428193307353080469 (pp39)
r2=390383954003969940286270096382539177530225312863374321521478772945307454339748084071279 (pp87)
Version: Msieve v. 1.48
Total time: 26.27 hours.
Factorization parameters were as follows:
n: 139785628709190419573524116465890343609100680049349253074883503923756109369504683895789797375858964658967118317595391618749851
Y0: -3194788217729299908356239
Y1: 18925597303087
c0: 70534980944488039055828457994848
c1: -723141055488609752972123544
c2: -506098636752045728732
c3: -1614065832417361
c4: 467434294
c5: 420
skew: 1288524.47
type: gnfs
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 18354218
Relations: 2016670 relations
Pruned matrix : 1122730 x 1122958
Polynomial selection time: 0.00 hours.
Total sieving time: 24.51 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.56 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: gnfs,125,5,65,2000,1e-05,0.28,250,20,50000,3600,5800000,5800000,28,28,55,55,2.5,2.5,100000
total time: 26.27 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 21, 2011 15:10:44 UTC 2011 年 5 月 22 日 (日) 0 時 10 分 44 秒 (日本時間)
403e6880110Ignacio SantosMay 21, 2011 15:10:44 UTC 2011 年 5 月 22 日 (日) 0 時 10 分 44 秒 (日本時間)
770Ignacio SantosJune 21, 2011 23:29:10 UTC 2011 年 6 月 22 日 (水) 8 時 29 分 10 秒 (日本時間)
4511e6252 / 405332Ignacio SantosMay 21, 2011 15:10:44 UTC 2011 年 5 月 22 日 (日) 0 時 10 分 44 秒 (日本時間)
220Ignacio SantosJune 21, 2011 23:29:10 UTC 2011 年 6 月 22 日 (水) 8 時 29 分 10 秒 (日本時間)
5043e661 / 7461Ignacio SantosJune 21, 2011 23:29:10 UTC 2011 年 6 月 22 日 (水) 8 時 29 分 10 秒 (日本時間)

58×10178-319

c149

name 名前Serge Batalov
date 日付June 8, 2009 18:02:27 UTC 2009 年 6 月 9 日 (火) 3 時 2 分 27 秒 (日本時間)
composite number 合成数
16005050006678342653495029114923650025897458731860040773541135041995524662934167150817481698991625615273107756846624508143796663312414650366256040029<149>
prime factors 素因数
15760309062369653259657044097511<32>
1015528943204105616882829519823718893580572556570303575730382698748439447747013081058056037752739634733914242599226139<118>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1343471373
Step 1 took 8065ms
Step 2 took 7684ms
********** Factor found in step 2: 15760309062369653259657044097511
Found probable prime factor of 32 digits: 15760309062369653259657044097511
Probable prime cofactor has 118 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

58×10180-319

c163

name 名前Rich Dickerson
date 日付June 2, 2012 14:46:41 UTC 2012 年 6 月 2 日 (土) 23 時 46 分 41 秒 (日本時間)
composite number 合成数
6534187202637926070977011335286639832751476707617588127846702355415335412040097979207716015193002117644675346472175753413639928999078596594288519691449159890094923<163>
prime factors 素因数
486457293377916140674068725043780727923619717<45>
13432190845089631220727078693075864604429521790509237913840352780394857400167770418801267159327971656372023742054475919<119>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1183907060
Step 1 took 119863ms
Step 2 took 57603ms
********** Factor found in step 2: 486457293377916140674068725043780727923619717
Found probable prime factor of 45 digits: 486457293377916140674068725043780727923619717
Probable prime cofactor 13432190845089631220727078693075864604429521790509237913840352780394857400167770418801267159327971656372023742054475919 has 119 digits
software ソフトウェア
GMP-ECM 6.3 [config GMP 5.0.2] [ECM]
execution environment 実行環境
PPC G5, 2.5 GHz, Mac OS X

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 21, 2011 16:21:06 UTC 2011 年 5 月 22 日 (日) 1 時 21 分 6 秒 (日本時間)
403e6110 / 2126Ignacio SantosMay 21, 2011 16:21:06 UTC 2011 年 5 月 22 日 (日) 1 時 21 分 6 秒 (日本時間)
4511e632 / 4437Ignacio SantosMay 21, 2011 16:21:06 UTC 2011 年 5 月 22 日 (日) 1 時 21 分 6 秒 (日本時間)

58×10183-319

c167

name 名前Jo Yeong Uk
date 日付July 2, 2014 21:59:21 UTC 2014 年 7 月 3 日 (木) 6 時 59 分 21 秒 (日本時間)
composite number 合成数
66955370331229241545379178534078604912710038494957455675668457209662940068551810568956636428668940897787062075182212694502916070683854188314504072601584347011060047701<167>
prime factors 素因数
1512470197454139220244103678709699205874234580555004727576875020613138491<73>
44268885723455352358162090285368431080996961997472203549458582454514226438510814672120253947311<95>
factorization results 素因数分解の結果
Number: 64441_183
N=66955370331229241545379178534078604912710038494957455675668457209662940068551810568956636428668940897787062075182212694502916070683854188314504072601584347011060047701
  ( 167 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=1512470197454139220244103678709699205874234580555004727576875020613138491
 r2=44268885723455352358162090285368431080996961997472203549458582454514226438510814672120253947311
Version: 
Total time: 89.16 hours.
Scaled time: 468.36 units (timescale=5.253).
Factorization parameters were as follows:
n: 66955370331229241545379178534078604912710038494957455675668457209662940068551810568956636428668940897787062075182212694502916070683854188314504072601584347011060047701
m: 2000000000000000000000000000000000000
deg: 5
c5: 3625
c0: -62
skew: 0.44
# Murphy_E = 4.703e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5

Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3700000, 7800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20654899
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1706984 x 1707231
Total sieving time: 82.92 hours.
Total relation processing time: 2.22 hours.
Matrix solve time: 3.87 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000
total time: 89.16 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.. 6800.41 BogoMIPS (lpj=3400205)
Total of 12 processors activated (81604.92 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
351e6418118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 21, 2011 17:47:15 UTC 2011 年 5 月 22 日 (日) 2 時 47 分 15 秒 (日本時間)
403e6110Ignacio SantosMay 21, 2011 17:47:15 UTC 2011 年 5 月 22 日 (日) 2 時 47 分 15 秒 (日本時間)
4511e6932 / 443732Ignacio SantosMay 21, 2011 17:47:15 UTC 2011 年 5 月 22 日 (日) 2 時 47 分 15 秒 (日本時間)
600Rich DickersonNovember 11, 2013 02:45:31 UTC 2013 年 11 月 11 日 (月) 11 時 45 分 31 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:35 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 35 秒 (日本時間)

58×10184-319

c172

name 名前Robert Backstrom
date 日付February 28, 2012 19:31:32 UTC 2012 年 2 月 29 日 (水) 4 時 31 分 32 秒 (日本時間)
composite number 合成数
3400152536154857180854877406800099081012829858185804128508865412670073401260509121810645754749123578967052791423041621347421477240370056443009251372929318619775094616049539<172>
prime factors 素因数
128560755722324024215545788074592683154504783605841<51>
26447826298553993846175013737107937479329404322849361173454027687363779476326490874884533789576426621453963127894829644179<122>
factorization results 素因数分解の結果
Number: n
N=3400152536154857180854877406800099081012829858185804128508865412670073401260509121810645754749123578967052791423041621347421477240370056443009251372929318619775094616049539
  ( 172 digits)
SNFS difficulty: 185 digits.
Divisors found:

Wed Feb 29 06:12:16 2012  prp51 factor: 128560755722324024215545788074592683154504783605841
Wed Feb 29 06:12:16 2012  prp122 factor: 26447826298553993846175013737107937479329404322849361173454027687363779476326490874884533789576426621453963127894829644179
Wed Feb 29 06:12:16 2012  elapsed time 03:20:30 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.661).
Factorization parameters were as follows:
name: KA_64441_184
n: 3400152536154857180854877406800099081012829858185804128508865412670073401260509121810645754749123578967052791423041621347421477240370056443009251372929318619775094616049539
m: 2000000000000000000000000000000000000
#  c172, diff: 185.76
skew: 0.28
deg: 5
c5: 18125
c0: -31
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7008834 hash collisions in 74777878 relations (70205456 unique)
Msieve: matrix is 1228989 x 1229219 (344.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 21, 2011 19:01:29 UTC 2011 年 5 月 22 日 (日) 4 時 1 分 29 秒 (日本時間)
403e6110 / 2126Ignacio SantosMay 21, 2011 19:01:29 UTC 2011 年 5 月 22 日 (日) 4 時 1 分 29 秒 (日本時間)
4511e632 / 4437Ignacio SantosMay 21, 2011 19:01:29 UTC 2011 年 5 月 22 日 (日) 4 時 1 分 29 秒 (日本時間)

58×10185-319

c177

name 名前matsui
date 日付January 23, 2011 19:18:52 UTC 2011 年 1 月 24 日 (月) 4 時 18 分 52 秒 (日本時間)
composite number 合成数
898313685070252944669200747309818574664667489385396558219749656551407226748884510734115094441996795207383240673213752439272268345836362898172253634385465007399326962230309266391<177>
prime factors 素因数
97341357309884000722349620845093036439<38>
133056904660156286504888362523432946094417<42>
143376546753400674746813695339569537743810197<45>
483743436992681620621977652854351784528461912751683181<54>
factorization results 素因数分解の結果
N=898313685070252944669200747309818574664667489385396558219749656551407226748884510734115094441996795207383240673213752439272268345836362898172253634385465007399326962230309266391
  ( 177 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=97341357309884000722349620845093036439 (pp38)
 r2=133056904660156286504888362523432946094417 (pp42)
 r3=143376546753400674746813695339569537743810197 (pp45)
 r4=483743436992681620621977652854351784528461912751683181 (pp54)
Version: Msieve v. 1.48
Total time:
Scaled time: 17.63 units (timescale=0.539).
Factorization parameters were as follows:
n: 898313685070252944669200747309818574664667489385396558219749656551407226748884510734115094441996795207383240673213752439272268345836362898172253634385465007399326962230309266391
m: 10000000000000000000000000000000000000
deg: 5
c5: 58
c0: -31
skew: 0.88
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4550000, 12550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1762427 x 1762657
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000
total time:.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

58×10186-319

c131

name 名前Erik Branger
date 日付October 7, 2010 16:41:34 UTC 2010 年 10 月 8 日 (金) 1 時 41 分 34 秒 (日本時間)
composite number 合成数
22113951211979854107160122885985290275654934103349112331896895130686193201312757393745323075894017126494921331912065566610543901969<131>
prime factors 素因数
1270446665283651498733550595524847418439009485711<49>
17406438079037731078957435059324862561167866886627808194117029604319427320885142879<83>
factorization results 素因数分解の結果
Number: 64441_186
N = 22113951211979854107160122885985290275654934103349112331896895130686193201312757393745323075894017126494921331912065566610543901969 (131 digits)
Divisors found:
r1=1270446665283651498733550595524847418439009485711 (pp49)
r2=17406438079037731078957435059324862561167866886627808194117029604319427320885142879 (pp83)
Version: Msieve v. 1.47
Total time: 159.13 hours.
Factorization parameters were as follows:
# Murphy_E = 7.323051e-11, selected by Jeff Gilchrist
n: 22113951211979854107160122885985290275654934103349112331896895130686193201312757393745323075894017126494921331912065566610543901969
Y0: -14401249159019143922823168
Y1: 242757374405149
c0: 121420639664537543585544559309685
c1: 3124184090435156482186808611
c2: 6787826409355043570457
c3: -76391808897648373
c4: -13118303660
c5: 35700
skew: 477775.37
type: gnfs
# selected mechanically
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [5000000, 10500000)
Relations: 19374936
Relations in full relation-set: 2654394 relations
Pruned matrix : 1539496 x 1539720
Polynomial selection time: 0.00 hours.
Total sieving time: 156.26 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 2.35 hours.
time per square root: 0.34 hours.
Prototype def-par.txt line would be: gnfs,130,5,65,2000,1e-05,0.28,250,20,50000,3600,10000000,10000000,28,28,54,54,2.6,2.6,100000
total time: 159.13 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJune 22, 2009 00:19:17 UTC 2009 年 6 月 22 日 (月) 9 時 19 分 17 秒 (日本時間)
4511e64000Wataru SakaiSeptember 2, 2010 06:38:31 UTC 2010 年 9 月 2 日 (木) 15 時 38 分 31 秒 (日本時間)

58×10187-319

c139

name 名前LegionMammal978
date 日付January 26, 2017 11:26:21 UTC 2017 年 1 月 26 日 (木) 20 時 26 分 21 秒 (日本時間)
composite number 合成数
1645939120477871348280617957559159182463699044634732654294775033626530476983974595618214982587455106167933123843668422915127583356784150371<139>
prime factors 素因数
7791177984079244727197979077258587766661775939097<49>
211256773217251452141680599234743391264029357625009612488861883174294742984043134322663643<90>
factorization results 素因数分解の結果
Thu Jan 26 01:23:13 2017  Msieve v. 1.53 (SVN Unversioned directory)
Thu Jan 26 01:23:13 2017  random seeds: 161f9b41 a10a4f40
Thu Jan 26 01:23:13 2017  factoring 1645939120477871348280617957559159182463699044634732654294775033626530476983974595618214982587455106167933123843668422915127583356784150371 (139 digits)
Thu Jan 26 01:23:13 2017  no P-1/P+1/ECM available, skipping
Thu Jan 26 01:23:13 2017  commencing number field sieve (139-digit input)
Thu Jan 26 01:23:13 2017  R0: -10000000000000000000000000000000000000
Thu Jan 26 01:23:13 2017  R1: 1
Thu Jan 26 01:23:13 2017  A0: -31
Thu Jan 26 01:23:13 2017  A1: 0
Thu Jan 26 01:23:13 2017  A2: 0
Thu Jan 26 01:23:13 2017  A3: 0
Thu Jan 26 01:23:13 2017  A4: 0
Thu Jan 26 01:23:13 2017  A5: 5800
Thu Jan 26 01:23:13 2017  skew 0.35, size 1.876e-13, alpha 0.512, combined = 3.086e-11 rroots = 1
Thu Jan 26 01:23:13 2017  
Thu Jan 26 01:23:13 2017  commencing relation filtering
Thu Jan 26 01:23:13 2017  estimated available RAM is 15929.4 MB
Thu Jan 26 01:23:13 2017  commencing duplicate removal, pass 1
Thu Jan 26 01:26:00 2017  found 3666936 hash collisions in 22771602 relations
Thu Jan 26 01:26:19 2017  added 269 free relations
Thu Jan 26 01:26:19 2017  commencing duplicate removal, pass 2
Thu Jan 26 01:26:25 2017  found 3417219 duplicates and 19354652 unique relations
Thu Jan 26 01:26:25 2017  memory use: 106.6 MB
Thu Jan 26 01:26:25 2017  reading ideals above 720000
Thu Jan 26 01:26:25 2017  commencing singleton removal, initial pass
Thu Jan 26 01:28:24 2017  memory use: 689.0 MB
Thu Jan 26 01:28:24 2017  reading all ideals from disk
Thu Jan 26 01:28:24 2017  memory use: 620.5 MB
Thu Jan 26 01:28:25 2017  keeping 21500429 ideals with weight <= 200, target excess is 116355
Thu Jan 26 01:28:26 2017  commencing in-memory singleton removal
Thu Jan 26 01:28:27 2017  begin with 19354652 relations and 21500429 unique ideals
Thu Jan 26 01:28:38 2017  reduce to 7960860 relations and 7802077 ideals in 21 passes
Thu Jan 26 01:28:38 2017  max relations containing the same ideal: 113
Thu Jan 26 01:28:40 2017  removing 213963 relations and 202057 ideals in 11906 cliques
Thu Jan 26 01:28:40 2017  commencing in-memory singleton removal
Thu Jan 26 01:28:41 2017  begin with 7746897 relations and 7802077 unique ideals
Thu Jan 26 01:28:44 2017  reduce to 7741752 relations and 7594866 ideals in 8 passes
Thu Jan 26 01:28:44 2017  max relations containing the same ideal: 112
Thu Jan 26 01:28:46 2017  removing 153456 relations and 141550 ideals in 11906 cliques
Thu Jan 26 01:28:46 2017  commencing in-memory singleton removal
Thu Jan 26 01:28:46 2017  begin with 7588296 relations and 7594866 unique ideals
Thu Jan 26 01:28:49 2017  reduce to 7585703 relations and 7450715 ideals in 7 passes
Thu Jan 26 01:28:49 2017  max relations containing the same ideal: 112
Thu Jan 26 01:28:50 2017  relations with 0 large ideals: 2934
Thu Jan 26 01:28:50 2017  relations with 1 large ideals: 833
Thu Jan 26 01:28:50 2017  relations with 2 large ideals: 15492
Thu Jan 26 01:28:50 2017  relations with 3 large ideals: 125207
Thu Jan 26 01:28:50 2017  relations with 4 large ideals: 546387
Thu Jan 26 01:28:50 2017  relations with 5 large ideals: 1392178
Thu Jan 26 01:28:50 2017  relations with 6 large ideals: 2209430
Thu Jan 26 01:28:50 2017  relations with 7+ large ideals: 3293242
Thu Jan 26 01:28:50 2017  commencing 2-way merge
Thu Jan 26 01:28:53 2017  reduce to 4441389 relation sets and 4306401 unique ideals
Thu Jan 26 01:28:53 2017  commencing full merge
Thu Jan 26 01:29:40 2017  memory use: 518.2 MB
Thu Jan 26 01:29:41 2017  found 2282982 cycles, need 2274601
Thu Jan 26 01:29:41 2017  weight of 2274601 cycles is about 159448820 (70.10/cycle)
Thu Jan 26 01:29:41 2017  distribution of cycle lengths:
Thu Jan 26 01:29:41 2017  1 relations: 348602
Thu Jan 26 01:29:41 2017  2 relations: 307483
Thu Jan 26 01:29:41 2017  3 relations: 281459
Thu Jan 26 01:29:41 2017  4 relations: 238533
Thu Jan 26 01:29:41 2017  5 relations: 201985
Thu Jan 26 01:29:41 2017  6 relations: 165387
Thu Jan 26 01:29:41 2017  7 relations: 136909
Thu Jan 26 01:29:41 2017  8 relations: 111424
Thu Jan 26 01:29:41 2017  9 relations: 90675
Thu Jan 26 01:29:41 2017  10+ relations: 392144
Thu Jan 26 01:29:41 2017  heaviest cycle: 28 relations
Thu Jan 26 01:29:41 2017  commencing cycle optimization
Thu Jan 26 01:29:44 2017  start with 12937603 relations
Thu Jan 26 01:29:55 2017  pruned 277808 relations
Thu Jan 26 01:29:56 2017  memory use: 435.7 MB
Thu Jan 26 01:29:56 2017  distribution of cycle lengths:
Thu Jan 26 01:29:56 2017  1 relations: 348602
Thu Jan 26 01:29:56 2017  2 relations: 313955
Thu Jan 26 01:29:56 2017  3 relations: 290397
Thu Jan 26 01:29:56 2017  4 relations: 242858
Thu Jan 26 01:29:56 2017  5 relations: 205001
Thu Jan 26 01:29:56 2017  6 relations: 166006
Thu Jan 26 01:29:56 2017  7 relations: 136554
Thu Jan 26 01:29:56 2017  8 relations: 109837
Thu Jan 26 01:29:56 2017  9 relations: 89003
Thu Jan 26 01:29:56 2017  10+ relations: 372388
Thu Jan 26 01:29:56 2017  heaviest cycle: 28 relations
Thu Jan 26 01:29:58 2017  RelProcTime: 405
Thu Jan 26 01:29:58 2017  elapsed time 00:06:45
Thu Jan 26 01:29:58 2017 LatSieveTime: 1173.54
Thu Jan 26 01:29:58 2017 -> Running matrix solving step ...
Thu Jan 26 01:29:58 2017 -> ./msieve -s 64441_187/64441_187.dat -l 64441_187/64441_187.log -i 64441_187/64441_187.ini -nf 64441_187/64441_187.fb -t 6 -nc2
Thu Jan 26 01:29:58 2017  
Thu Jan 26 01:29:58 2017  
Thu Jan 26 01:29:58 2017  Msieve v. 1.53 (SVN Unversioned directory)
Thu Jan 26 01:29:58 2017  random seeds: 3182f5ad 08ebf886
Thu Jan 26 01:29:58 2017  factoring 1645939120477871348280617957559159182463699044634732654294775033626530476983974595618214982587455106167933123843668422915127583356784150371 (139 digits)
Thu Jan 26 01:29:59 2017  no P-1/P+1/ECM available, skipping
Thu Jan 26 01:29:59 2017  commencing number field sieve (139-digit input)
Thu Jan 26 01:29:59 2017  R0: -10000000000000000000000000000000000000
Thu Jan 26 01:29:59 2017  R1: 1
Thu Jan 26 01:29:59 2017  A0: -31
Thu Jan 26 01:29:59 2017  A1: 0
Thu Jan 26 01:29:59 2017  A2: 0
Thu Jan 26 01:29:59 2017  A3: 0
Thu Jan 26 01:29:59 2017  A4: 0
Thu Jan 26 01:29:59 2017  A5: 5800
Thu Jan 26 01:29:59 2017  skew 0.35, size 1.876e-13, alpha 0.512, combined = 3.086e-11 rroots = 1
Thu Jan 26 01:29:59 2017  
Thu Jan 26 01:29:59 2017  commencing linear algebra
Thu Jan 26 01:29:59 2017  read 2274601 cycles
Thu Jan 26 01:30:02 2017  cycles contain 7398577 unique relations
Thu Jan 26 01:30:37 2017  read 7398577 relations
Thu Jan 26 01:30:42 2017  using 20 quadratic characters above 4294917295
Thu Jan 26 01:31:10 2017  building initial matrix
Thu Jan 26 01:31:54 2017  memory use: 902.9 MB
Thu Jan 26 01:31:54 2017  read 2274601 cycles
Thu Jan 26 01:31:55 2017  matrix is 2274424 x 2274601 (682.7 MB) with weight 199772732 (87.83/col)
Thu Jan 26 01:31:55 2017  sparse part has weight 153950022 (67.68/col)
Thu Jan 26 01:32:07 2017  filtering completed in 2 passes
Thu Jan 26 01:32:08 2017  matrix is 2271979 x 2272156 (682.5 MB) with weight 199688148 (87.88/col)
Thu Jan 26 01:32:08 2017  sparse part has weight 153919534 (67.74/col)
Thu Jan 26 01:32:12 2017  matrix starts at (0, 0)
Thu Jan 26 01:32:12 2017  matrix is 2271979 x 2272156 (682.5 MB) with weight 199688148 (87.88/col)
Thu Jan 26 01:32:12 2017  sparse part has weight 153919534 (67.74/col)
Thu Jan 26 01:32:12 2017  saving the first 48 matrix rows for later
Thu Jan 26 01:32:13 2017  matrix includes 64 packed rows
Thu Jan 26 01:32:13 2017  matrix is 2271931 x 2272156 (645.4 MB) with weight 159230896 (70.08/col)
Thu Jan 26 01:32:13 2017  sparse part has weight 146467328 (64.46/col)
Thu Jan 26 01:32:13 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Thu Jan 26 01:32:18 2017  commencing Lanczos iteration (6 threads)
Thu Jan 26 01:32:18 2017  memory use: 519.8 MB
Thu Jan 26 01:32:23 2017  linear algebra at 0.1%, ETA 2h 5m
Thu Jan 26 01:32:25 2017  checkpointing every 1040000 dimensions
Thu Jan 26 03:44:33 2017  lanczos halted after 35931 iterations (dim = 2271929)
Thu Jan 26 03:44:35 2017  recovered 39 nontrivial dependencies
Thu Jan 26 03:44:35 2017  BLanczosTime: 8076
Thu Jan 26 03:44:35 2017  elapsed time 02:14:37
Thu Jan 26 03:44:35 2017 -> Running square root step ...
Thu Jan 26 03:44:35 2017 -> ./msieve -s 64441_187/64441_187.dat -l 64441_187/64441_187.log -i 64441_187/64441_187.ini -nf 64441_187/64441_187.fb -t 6 -nc3
Thu Jan 26 03:44:35 2017  
Thu Jan 26 03:44:35 2017  
Thu Jan 26 03:44:35 2017  Msieve v. 1.53 (SVN Unversioned directory)
Thu Jan 26 03:44:35 2017  random seeds: 783f8b5e 53d7a596
Thu Jan 26 03:44:35 2017  factoring 1645939120477871348280617957559159182463699044634732654294775033626530476983974595618214982587455106167933123843668422915127583356784150371 (139 digits)
Thu Jan 26 03:44:36 2017  no P-1/P+1/ECM available, skipping
Thu Jan 26 03:44:36 2017  commencing number field sieve (139-digit input)
Thu Jan 26 03:44:36 2017  R0: -10000000000000000000000000000000000000
Thu Jan 26 03:44:36 2017  R1: 1
Thu Jan 26 03:44:36 2017  A0: -31
Thu Jan 26 03:44:36 2017  A1: 0
Thu Jan 26 03:44:36 2017  A2: 0
Thu Jan 26 03:44:36 2017  A3: 0
Thu Jan 26 03:44:36 2017  A4: 0
Thu Jan 26 03:44:36 2017  A5: 5800
Thu Jan 26 03:44:36 2017  skew 0.35, size 1.876e-13, alpha 0.512, combined = 3.086e-11 rroots = 1
Thu Jan 26 03:44:36 2017  
Thu Jan 26 03:44:36 2017  commencing square root phase
Thu Jan 26 03:44:36 2017  reading relations for dependency 1
Thu Jan 26 03:44:36 2017  read 1136371 cycles
Thu Jan 26 03:44:37 2017  cycles contain 3699008 unique relations
Thu Jan 26 03:44:55 2017  read 3699008 relations
Thu Jan 26 03:45:05 2017  multiplying 3699008 relations
Thu Jan 26 03:46:54 2017  multiply complete, coefficients have about 127.27 million bits
Thu Jan 26 03:46:54 2017  initial square root is modulo 1365382561
Thu Jan 26 03:49:10 2017  GCD is N, no factor found
Thu Jan 26 03:49:10 2017  reading relations for dependency 2
Thu Jan 26 03:49:11 2017  read 1137267 cycles
Thu Jan 26 03:49:12 2017  cycles contain 3700198 unique relations
Thu Jan 26 03:49:29 2017  read 3700198 relations
Thu Jan 26 03:49:39 2017  multiplying 3700198 relations
Thu Jan 26 03:51:27 2017  multiply complete, coefficients have about 127.31 million bits
Thu Jan 26 03:51:27 2017  initial square root is modulo 1373672761
Thu Jan 26 03:53:42 2017  sqrtTime: 546
Thu Jan 26 03:53:42 2017  p49 factor: 7791177984079244727197979077258587766661775939097
Thu Jan 26 03:53:42 2017  p90 factor: 211256773217251452141680599234743391264029357625009612488861883174294742984043134322663643
Thu Jan 26 03:53:42 2017  elapsed time 00:09:07
software ソフトウェア
GGNFS/Msieve v1.53
execution environment 実行環境
64-bit Ubuntu 16.04.1 LTS, Core i7-2600K 3.4GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 21, 2011 20:04:59 UTC 2011 年 5 月 22 日 (日) 5 時 4 分 59 秒 (日本時間)
403e6410110Ignacio SantosMay 21, 2011 20:04:59 UTC 2011 年 5 月 22 日 (日) 5 時 4 分 59 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:55:04 UTC 2014 年 1 月 9 日 (木) 13 時 55 分 4 秒 (日本時間)
4511e6932 / 437132Ignacio SantosMay 21, 2011 20:04:59 UTC 2011 年 5 月 22 日 (日) 5 時 4 分 59 秒 (日本時間)
600Rich DickersonApril 22, 2014 17:35:07 UTC 2014 年 4 月 23 日 (水) 2 時 35 分 7 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:36 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 36 秒 (日本時間)

58×10189-319

c134

name 名前Wataru Sakai
date 日付June 15, 2009 00:48:25 UTC 2009 年 6 月 15 日 (月) 9 時 48 分 25 秒 (日本時間)
composite number 合成数
15821189338510232450358729195495488647336567199418995350398371461954268628901015403943219039975739357912404413317309150157138408386741<134>
prime factors 素因数
27851355416234957710219931262472333<35>
568058146616729197426787256156526078124017948322299569993098655486669818175582047103675908213848777<99>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=98376821
Step 1 took 38188ms
Step 2 took 14478ms
********** Factor found in step 2: 27851355416234957710219931262472333
Found probable prime factor of 35 digits: 27851355416234957710219931262472333
Probable prime cofactor 568058146616729197426787256156526078124017948322299569993098655486669818175582047103675908213848777 has 99 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

58×10190-319

c159

composite cofactor 合成数の残り
578273049888731674244309858415309667690994568212777798044681753020748959188791268927303322034540790382485579365403561750265414611065289233955777125642668139109<159>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 21, 2011 21:43:26 UTC 2011 年 5 月 22 日 (日) 6 時 43 分 26 秒 (日本時間)
403e62126110Ignacio SantosMay 21, 2011 21:43:26 UTC 2011 年 5 月 22 日 (日) 6 時 43 分 26 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:55:04 UTC 2014 年 1 月 9 日 (木) 13 時 55 分 4 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:00 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 0 秒 (日本時間)
416yas matOctober 31, 2014 04:26:10 UTC 2014 年 10 月 31 日 (金) 13 時 26 分 10 秒 (日本時間)
4511e632 / 3991Ignacio SantosMay 21, 2011 21:43:26 UTC 2011 年 5 月 22 日 (日) 6 時 43 分 26 秒 (日本時間)

58×10191-319

c163

name 名前Serge Batalov
date 日付January 9, 2014 07:06:06 UTC 2014 年 1 月 9 日 (木) 16 時 6 分 6 秒 (日本時間)
composite number 合成数
1314785001290770472298934321786619527814641646231038568775601829517127769419119767116126376640148659470571403098198540418570255852816937297562674230964629979534713<163>
prime factors 素因数
1770541029269289038530780084932643<34>
742589400389884603258631295482431688083596357183404905400519652470640154285916059816327715881828672668436296808309631220096749491<129>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3112700238
Step 1 took 12211ms
Step 2 took 5588ms
********** Factor found in step 2: 1770541029269289038530780084932643
Found probable prime factor of 34 digits: 1770541029269289038530780084932643
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 22, 2011 00:03:43 UTC 2011 年 5 月 22 日 (日) 9 時 3 分 43 秒 (日本時間)
403e6410 / 2126110Ignacio SantosMay 22, 2011 00:03:43 UTC 2011 年 5 月 22 日 (日) 9 時 3 分 43 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:55:14 UTC 2014 年 1 月 9 日 (木) 13 時 55 分 14 秒 (日本時間)
4511e632 / 4371Ignacio SantosMay 22, 2011 00:03:43 UTC 2011 年 5 月 22 日 (日) 9 時 3 分 43 秒 (日本時間)

58×10192-319

c183

name 名前Robert Backstrom
date 日付March 12, 2012 16:47:14 UTC 2012 年 3 月 13 日 (火) 1 時 47 分 14 秒 (日本時間)
composite number 合成数
242271793835160970808403988313563266841833207852565393362273901192750723065779590470142894475468443507193921488886292127070945993249048002070272728810317363865448983917457336483480737<183>
prime factors 素因数
230656188981425387068983217038007196596267429<45>
1050358955920627743716239790756571916719799177945018292576990828795415948697928472416936302389537090636681636202931983032243240339064383053<139>
factorization results 素因数分解の結果
Number: n
N=242271793835160970808403988313563266841833207852565393362273901192750723065779590470142894475468443507193921488886292127070945993249048002070272728810317363865448983917457336483480737
  ( 183 digits)
SNFS difficulty: 193 digits.
Divisors found:

Tue Mar 13 03:43:24 2012  prp45 factor: 230656188981425387068983217038007196596267429
Tue Mar 13 03:43:24 2012  prp139 factor: 1050358955920627743716239790756571916719799177945018292576990828795415948697928472416936302389537090636681636202931983032243240339064383053
Tue Mar 13 03:43:24 2012  elapsed time 04:28:29 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.662).
Factorization parameters were as follows:
name: KA_64441_192
n: 242271793835160970808403988313563266841833207852565393362273901192750723065779590470142894475468443507193921488886292127070945993249048002070272728810317363865448983917457336483480737
m: 100000000000000000000000000000000000000
#  c183, diff: 193.76
skew: 0.35
deg: 5
c5: 5800
c0: -31
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9735021 hash collisions in 78814737 relations (71203867 unique)
Msieve: matrix is 1541541 x 1541767 (432.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 22, 2011 09:17:26 UTC 2011 年 5 月 22 日 (日) 18 時 17 分 26 秒 (日本時間)
403e6110 / 2126Ignacio SantosMay 22, 2011 09:17:26 UTC 2011 年 5 月 22 日 (日) 18 時 17 分 26 秒 (日本時間)
4511e632 / 4437Ignacio SantosMay 22, 2011 09:17:26 UTC 2011 年 5 月 22 日 (日) 18 時 17 分 26 秒 (日本時間)

58×10194-319

c160

composite cofactor 合成数の残り
3447322258572799225846859365525175765187006825264815341189465674853310925340908953004705455303191774074929862155347354603926684527519437304061901294132637916029<160>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 22, 2011 09:17:50 UTC 2011 年 5 月 22 日 (日) 18 時 17 分 50 秒 (日本時間)
403e62126110Ignacio SantosMay 22, 2011 09:17:50 UTC 2011 年 5 月 22 日 (日) 18 時 17 分 50 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:55:14 UTC 2014 年 1 月 9 日 (木) 13 時 55 分 14 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:00 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 0 秒 (日本時間)
416yas matOctober 31, 2014 09:06:08 UTC 2014 年 10 月 31 日 (金) 18 時 6 分 8 秒 (日本時間)
4511e632 / 3991Ignacio SantosMay 22, 2011 09:17:50 UTC 2011 年 5 月 22 日 (日) 18 時 17 分 50 秒 (日本時間)

58×10195-319

c120

name 名前Jo Yeong Uk
date 日付June 10, 2009 14:36:06 UTC 2009 年 6 月 10 日 (水) 23 時 36 分 6 秒 (日本時間)
composite number 合成数
119339495408525915193752433668177694063200767597864676491438032551608032555488259949937499272744109343579204370538946207<120>
prime factors 素因数
3808947365887241518949456612924387<34>
31331358494823262828693743658366323430037124627429151340540267581059886550031789827861<86>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 119339495408525915193752433668177694063200767597864676491438032551608032555488259949937499272744109343579204370538946207 (120 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2513972108
Step 1 took 4243ms
Step 2 took 4087ms
********** Factor found in step 2: 3808947365887241518949456612924387
Found probable prime factor of 34 digits: 3808947365887241518949456612924387
Probable prime cofactor 31331358494823262828693743658366323430037124627429151340540267581059886550031789827861 has 86 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

58×10197-319

c192

name 名前Wataru Sakai
date 日付December 17, 2009 13:33:07 UTC 2009 年 12 月 17 日 (木) 22 時 33 分 7 秒 (日本時間)
composite number 合成数
131264433854120448289768138804081880309603914776158947831372367166446945846654127292145767705359868574427737424148677158904446213798485602226625012388080944982617307346868099635227454218869457<192>
prime factors 素因数
5096513647532794501083118207545671<34>
25755730864699073082591851139288692898367531568560403723880529183734319522625123361538086832200835064883598563324719178361854842928202684987796418138149494567<158>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3484559451
Step 1 took 23184ms
Step 2 took 9180ms
********** Factor found in step 2: 5096513647532794501083118207545671
Found probable prime factor of 34 digits: 5096513647532794501083118207545671
Probable prime cofactor 25755730864699073082591851139288692898367531568560403723880529183734319522625123361538086832200835064883598563324719178361854842928202684987796418138149494567 has 158 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

58×10198-319

c172

name 名前Ignacio Santos
date 日付May 22, 2011 09:13:58 UTC 2011 年 5 月 22 日 (日) 18 時 13 分 58 秒 (日本時間)
composite number 合成数
1910170331784595855800455410115761182919144680219358998638500742050446179582040961008432043785050183052218865834986237253721019663689743338647406619119761602707375735240449<172>
prime factors 素因数
3931542623710658018937553755913044323<37>
485857719121392613640279006713114848777812655409334166879411833920009488625621558705464762456192038065370442927192913487800514855314763<135>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2777156979
Step 1 took 8564ms
Step 2 took 6022ms
********** Factor found in step 2: 3931542623710658018937553755913044323
Found probable prime factor of 37 digits: 3931542623710658018937553755913044323
Probable prime cofactor 485857719121392613640279006713114848777812655409334166879411833920009488625621558705464762456192038065370442927192913487800514855314763 has 135 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

58×10199-319

c154

name 名前Ignacio Santos
date 日付May 22, 2011 09:19:34 UTC 2011 年 5 月 22 日 (日) 18 時 19 分 34 秒 (日本時間)
composite number 合成数
1925690920209854742681286036158194119986356082953273466321463267834604423799756430528178662215370749359257159331124704689074810242934464206085412628671781<154>
prime factors 素因数
32820732069202896463482250859<29>
15074769928706124885326096887799963<35>
composite cofactor 合成数の残り
3892132586650787166243260666385935055521625461175330380757592177403449770925578520421312893<91>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=20493131
Step 1 took 21169ms
Step 2 took 12153ms
********** Factor found in step 2: 32820732069202896463482250859
Found probable prime factor of 29 digits: 32820732069202896463482250859
Composite cofactor 58673003275780472287634994572634574048641604054410134847748708532448487386513086701796844390337941575401036937792058816822959 has 125 digits

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1635276330
Step 1 took 17145ms
Step 2 took 9844ms
********** Factor found in step 2: 15074769928706124885326096887799963
Found probable prime factor of 35 digits: 15074769928706124885326096887799963
Composite cofactor 3892132586650787166243260666385935055521625461175330380757592177403449770925578520421312893 has 91 digits
software ソフトウェア
GMP-ECM 6.3

c91

name 名前Erik Branger
date 日付May 22, 2011 13:36:31 UTC 2011 年 5 月 22 日 (日) 22 時 36 分 31 秒 (日本時間)
composite number 合成数
3892132586650787166243260666385935055521625461175330380757592177403449770925578520421312893<91>
prime factors 素因数
27562511792171624600243016120421357653467<41>
141211099191483726143076524111956382278189873267079<51>
factorization results 素因数分解の結果
Number: 64441_199
N = 3892132586650787166243260666385935055521625461175330380757592177403449770925578520421312893 (91 digits)
Divisors found:
r1=27562511792171624600243016120421357653467 (pp41)
r2=141211099191483726143076524111956382278189873267079 (pp51)
Version: Msieve v. 1.47
Total time: 0.99 hours.
Factorization parameters were as follows:
n: 3892132586650787166243260666385935055521625461175330380757592177403449770925578520421312893 
Y0: -6306853912164316438826
Y1: 532555824799
c0: -20506254156469162681009683
c1: 27140325970548991578
c2: -4486894971523
c3: 96162808
c4: 2460
skew: 399835.29
type: gnfs
rlim: 865000
alim: 865000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.4
alambda: 2.4
Factor base limits: 865000/865000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [432500, 752500)
Relations: 2995167
Relations in full relation-set: 185002 relations
Pruned matrix : 106830 x 107060
Polynomial selection time: 0.00 hours.
Total sieving time: 0.95 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: gnfs,90,4,58,2000,0.00025,0.3,220,15,10000,600,865000,865000,26,26,46,46,2.4,2.4,40000
total time: 0.99 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)

58×10200-319

c165

name 名前Robert Backstrom
date 日付November 13, 2012 03:19:39 UTC 2012 年 11 月 13 日 (火) 12 時 19 分 39 秒 (日本時間)
composite number 合成数
422312197876215782233986092562216996660931173158722756465453582762475725349135038434963797078608306473622184531586522861117774902190439565313278913813516359715971693<165>
prime factors 素因数
646432074643177003283488166543485882439404087<45>
653297097161101126037423795675026143290033008288899514380229950821189790045425238868052189237648284717497045048749282939<120>
factorization results 素因数分解の結果
Number: n
N=422312197876215782233986092562216996660931173158722756465453582762475725349135038434963797078608306473622184531586522861117774902190439565313278913813516359715971693
  ( 165 digits)
SNFS difficulty: 201 digits.
Divisors found:

Tue Nov 13 14:12:03 2012  prp45 factor: 646432074643177003283488166543485882439404087
Tue Nov 13 14:12:03 2012  prp120 factor: 653297097161101126037423795675026143290033008288899514380229950821189790045425238868052189237648284717497045048749282939
Tue Nov 13 14:12:03 2012  elapsed time 05:45:00 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.091).
Factorization parameters were as follows:
name: KA_64441_200
n: 422312197876215782233986092562216996660931173158722756465453582762475725349135038434963797078608306473622184531586522861117774902190439565313278913813516359715971693
m: 10000000000000000000000000000000000000000
#  c165, diff: 201.76
skew: 0.882
deg: 5
c5: 58
c0: -31
# Murphy_E = 1.442e-11
type: snfs
lss: 1
rlim: 16100000
alim: 16100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16100000/16100000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 46050000)
Primes: RFBsize:1037119, AFBsize:1038765,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8926366 hash collisions in 69561315 relations (62310963 unique)
Msieve: matrix is 1913940 x 1914168 (539.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16100000,16100000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
403e6369 / 2091Dmitry DomanovJune 9, 2009 04:44:27 UTC 2009 年 6 月 9 日 (火) 13 時 44 分 27 秒 (日本時間)
4511e666 / 4393Dmitry DomanovJune 9, 2009 04:44:27 UTC 2009 年 6 月 9 日 (火) 13 時 44 分 27 秒 (日本時間)

58×10201-319

c162

name 名前Serge Batalov
date 日付May 26, 2014 18:36:47 UTC 2014 年 5 月 27 日 (火) 3 時 36 分 47 秒 (日本時間)
composite number 合成数
162499894867413787121545727982374739407747518428390074262849523894932552101125149254828287185720828206103045051373985137058151754568095835267324862485915553431797<162>
prime factors 素因数
16309268231303726423986752671428793350289<41>
composite cofactor 合成数の残り
9963653338873555885113579897855485527298505516029004116234078358546040653307190928778092498864147734525880680589652366373<121>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3053460787
Step 1 took 12152ms
Step 2 took 5590ms
********** Factor found in step 2: 16309268231303726423986752671428793350289
Found probable prime factor of 41 digits: 16309268231303726423986752671428793350289
Composite cofactor 

c121

name 名前Serge Batalov
date 日付May 28, 2014 16:30:47 UTC 2014 年 5 月 29 日 (木) 1 時 30 分 47 秒 (日本時間)
composite number 合成数
9963653338873555885113579897855485527298505516029004116234078358546040653307190928778092498864147734525880680589652366373<121>
prime factors 素因数
24227493823865745348264808693746812033929203757416948547613<59>
411253983235305710727710887396824804112594411092343976703620521<63>
factorization results 素因数分解の結果
Divisors found:
 r1=24227493823865745348264808693746812033929203757416948547613 (pp59)
 r2=411253983235305710727710887396824804112594411092343976703620521 (pp63)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 24.78 hours.
Scaled time: 59.48 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  9963653338873555885113579897855485527298505516029004116234078358546040653307190928778092498864147734525880680589652366373
skew:  216010.68
Y0:  -265701381615283850087756
Y1:  1491691166941
c0:  88126418902721949832313025837
c1:  20508902548789156002736485
c2:  -127278696104429734372
c3:  -808322041070290
c4:  2340803834
c5:  7524
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1800000, 3800001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 660297 x 660528
Total sieving time: 23.52 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.72 hours.
Time per square root: 0.41 hours.
Prototype def-par.txt line would be:
gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3600000,3600000,27,27,53,53,2.5,2.5,100000
total time: 24.78 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
403e61990 / 2318390Dmitry DomanovJune 9, 2009 04:44:03 UTC 2009 年 6 月 9 日 (火) 13 時 44 分 3 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:55:15 UTC 2014 年 1 月 9 日 (木) 13 時 55 分 15 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:00 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 0 秒 (日本時間)

58×10203-319

c155

composite cofactor 合成数の残り
17683160897530827331078723251398603555188522817346906816107091308634891803252063258584751986349615777273894513388613308409771602373964013815865105410938543<155>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
403e61941341Dmitry DomanovJune 8, 2009 21:56:08 UTC 2009 年 6 月 9 日 (火) 6 時 56 分 8 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:55:17 UTC 2014 年 1 月 9 日 (木) 13 時 55 分 17 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:01 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 1 秒 (日本時間)
4511e6110 / 4046CypJuly 14, 2015 05:43:38 UTC 2015 年 7 月 14 日 (火) 14 時 43 分 38 秒 (日本時間)

58×10204-319

c163

name 名前Dmitry Domanov
date 日付June 8, 2009 20:19:14 UTC 2009 年 6 月 9 日 (火) 5 時 19 分 14 秒 (日本時間)
composite number 合成数
1761452305183625900116711446983806796299373458711818340473764874440067293669034895623629635228461618511770096934684135736596989251938673739271788844188188296529687<163>
prime factors 素因数
225681106744058840576374317838111<33>
composite cofactor 合成数の残り
7805049924632190975500473119323412038681495890816226485855611592217951151934608322814868752014324502254708615145997800942003863817<130>
factorization results 素因数分解の結果
[2009-06-08 19:49:16 GMT] a: Factor found! / (probable) 225681106744058840576374317838111  B1: 3000000 sigma: 2193550413 (found in step 2)
[2009-06-08 19:49:16 GMT] a:    Co-factor:  / (Composite) 7805049924632190975500473119323412038681495890816226485855611592217951151934608322814868752014324502254708615145997800942003863817
software ソフトウェア
ECMNET/GMP-ECM 6.2.3

c130

name 名前Markus Tervooren
date 日付May 20, 2010 08:55:55 UTC 2010 年 5 月 20 日 (木) 17 時 55 分 55 秒 (日本時間)
composite number 合成数
7805049924632190975500473119323412038681495890816226485855611592217951151934608322814868752014324502254708615145997800942003863817<130>
prime factors 素因数
210993987711043386306604396433748739721250019202852221329754757<63>
36991811990971134697895935238130673044972442529701956242779900550581<68>
factorization results 素因数分解の結果
Msieve v. 1.44
Thu May 20 10:31:38 2010
random seeds: bd03d509 9856c1f8
factoring 7805049924632190975500473119323412038681495890816226485855611592217951151934608322814868752014324502254708615145997800942003863817 (130 digits)
searching for 15-digit factors
commencing quadratic sieve (130-digit input)
using multiplier of 5
using 32kb Intel Core sieve core
sieve interval: 122 blocks of size 32768
processing polynomials in batches of 2
using a sieve bound of 20006543 (636000 primes)
using large prime bound of 3000981450 (31 bits)
using double large prime bound of 114570803580218100 (49-57 bits)
using trial factoring cutoff of 57 bits
polynomial 'A' values have 15 factors
restarting with 143308 full and 9133807 partial relations

651887 relations (143308 full + 508579 combined from 9133807 partial), need 636096
sieving complete, commencing postprocessing
begin with 9277115 relations
reduce to 1750784 relations in 13 passes
attempting to read 1750784 relations
recovered 1750784 relations
recovered 1746848 polynomials
attempting to build 651887 cycles
found 651887 cycles in 6 passes
distribution of cycle lengths:
   length 1 : 143308
   length 2 : 104344
   length 3 : 106373
   length 4 : 90373
   length 5 : 72201
   length 6 : 50944
   length 7 : 34288
   length 9+: 50056
largest cycle: 22 relations
matrix is 636000 x 651887 (249.0 MB) with weight 60060409 (92.13/col)
sparse part has weight 60060409 (92.13/col)
filtering completed in 4 passes
matrix is 617219 x 617283 (229.3 MB) with weight 55171051 (89.38/col)
sparse part has weight 55171051 (89.38/col)
saving the first 48 matrix rows for later
matrix is 617171 x 617283 (193.8 MB) with weight 49493292 (80.18/col)
sparse part has weight 44626452 (72.29/col)
matrix includes 64 packed rows
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (4 threads)
memory use: 170.0 MB
linear algebra at 0.2%, ETA 0h27m617283 dimensions (0.2%, ETA 0h27m)
linear algebra completed 617160 of 617283 dimensions (100.0%, ETA 0h 0m)
lanczos halted after 9761 iterations (dim = 617169)
recovered 17 nontrivial dependencies
prp63 factor: 210993987711043386306604396433748739721250019202852221329754757
prp68 factor: 36991811990971134697895935238130673044972442529701956242779900550581

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
786Jo Yeong UkJune 19, 2009 16:15:15 UTC 2009 年 6 月 20 日 (土) 1 時 15 分 15 秒 (日本時間)
403e62104Wataru SakaiJuly 13, 2009 03:09:46 UTC 2009 年 7 月 13 日 (月) 12 時 9 分 46 秒 (日本時間)
4511e63974Wataru SakaiDecember 19, 2009 09:24:18 UTC 2009 年 12 月 19 日 (土) 18 時 24 分 18 秒 (日本時間)

58×10205-319

c179

composite cofactor 合成数の残り
51928782442158387076358722687391908605044632709267038414590460600150801966994526251980932953659427767238203800577495474405919314531202153618251564020677857608067633199099026886053<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 8, 2009 15:00:00 UTC 2009 年 6 月 9 日 (火) 0 時 0 分 0 秒 (日本時間)
403e61936336Dmitry DomanovJune 9, 2009 04:43:33 UTC 2009 年 6 月 9 日 (火) 13 時 43 分 33 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:55:17 UTC 2014 年 1 月 9 日 (木) 13 時 55 分 17 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:01 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 1 秒 (日本時間)
4511e660 / 3967Dmitry DomanovJune 9, 2009 04:43:33 UTC 2009 年 6 月 9 日 (火) 13 時 43 分 33 秒 (日本時間)
5043e60 / 7440--
5511e711 / 17750KTakahashiSeptember 21, 2014 11:08:25 UTC 2014 年 9 月 21 日 (日) 20 時 8 分 25 秒 (日本時間)

58×10206-319

c163

composite cofactor 合成数の残り
1423946638120974216283254822169924823902667045370513109433934457988937453193298424690939869359679961525580277329614034106197213089055673014211495051522597530339561<163>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61890290CypJanuary 5, 2014 02:24:24 UTC 2014 年 1 月 5 日 (日) 11 時 24 分 24 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:55:18 UTC 2014 年 1 月 9 日 (木) 13 時 55 分 18 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:01 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 1 秒 (日本時間)
4511e6124 / 4057CypJuly 2, 2015 14:22:23 UTC 2015 年 7 月 2 日 (木) 23 時 22 分 23 秒 (日本時間)

58×10207-319

c149

name 名前Serge Batalov
date 日付November 2, 2013 17:11:59 UTC 2013 年 11 月 3 日 (日) 2 時 11 分 59 秒 (日本時間)
composite number 合成数
64279595319120596143524219881613663272894490225736402259627389489072288953549179096928754000156676779907116064113667546509953018098493369613369342213<149>
prime factors 素因数
1364460443210473057471416787830847<34>
composite cofactor 合成数の残り
47109900209254531983019958470400788401480749092101490820436199000516511313069154447366375777429537616655541573569979<116>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=4191501976
Step 1 took 6800ms
Step 2 took 5193ms
********** Factor found in step 2: 1364460443210473057471416787830847
Found probable prime factor of 34 digits: 1364460443210473057471416787830847
Composite cofactor 

c116

name 名前Dmitry Domanov
date 日付November 4, 2013 08:27:05 UTC 2013 年 11 月 4 日 (月) 17 時 27 分 5 秒 (日本時間)
composite number 合成数
47109900209254531983019958470400788401480749092101490820436199000516511313069154447366375777429537616655541573569979<116>
prime factors 素因数
252605562885694476223551242163015797161421742412390799<54>
186495893720963076323665777679671784542101609881595880700076821<63>
factorization results 素因数分解の結果
N=47109900209254531983019958470400788401480749092101490820436199000516511313069154447366375777429537616655541573569979
  ( 116 digits)
Divisors found:
 r1=252605562885694476223551242163015797161421742412390799 (pp54)
 r2=186495893720963076323665777679671784542101609881595880700076821 (pp63)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 38.48 hours.
Scaled time: 41.67 units (timescale=1.083).
Factorization parameters were as follows:
n: 47109900209254531983019958470400788401480749092101490820436199000516511313069154447366375777429537616655541573569979
skew: 25146.40
c0: 65416169036474578986367869
c1: -17463632585317595457746
c2: 1634959232035330372
c3: 298646526674935
c4: -2994889926
c5: 23256
Y0: -18252223074273518009428
Y1: 546426318239
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 200000
type: gnfs
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2300000, 3500001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 499975 x 500207
Total sieving time: 37.52 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 0.35 hours.
Time per square root: 0.38 hours.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4600000,4600000,27,27,54,54,2.5,2.5,100000
total time: 38.48 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--
351e6218 / 513118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
100Rich DickersonNovember 3, 2013 14:03:47 UTC 2013 年 11 月 3 日 (日) 23 時 3 分 47 秒 (日本時間)
403e6100 / 2239Rich DickersonNovember 3, 2013 14:13:51 UTC 2013 年 11 月 3 日 (日) 23 時 13 分 51 秒 (日本時間)
4511e615 / 4448Rich DickersonNovember 3, 2013 14:15:58 UTC 2013 年 11 月 3 日 (日) 23 時 15 分 58 秒 (日本時間)

58×10208-319

c187

name 名前Serge Batalov
date 日付November 3, 2013 00:38:33 UTC 2013 年 11 月 3 日 (日) 9 時 38 分 33 秒 (日本時間)
composite number 合成数
2265799642656594935544059604877282400805306684547106139820377469742531884354288767499867752797386109684338463412626673809971098473258524462046043952698517068940980744309125490308651647459<187>
prime factors 素因数
49613653615862492548101127322153<32>
45668872931627288561267022990127409460395088345182191499279274836335844952705546241379857817256074706764038304732305393799927468342083030154910042306377003<155>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=612226918
Step 1 took 10441ms
Step 2 took 6672ms
********** Factor found in step 2: 49613653615862492548101127322153
Found probable prime factor of 32 digits: 49613653615862492548101127322153
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)

58×10209-319

c187

composite cofactor 合成数の残り
6123841644609943068932096112900674991956850209880022852733204221729336967988894214194088690098746713866471499912497200953900874679210589847751342364185077728242227632511422327095431233019<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61890290CypJanuary 5, 2014 00:13:51 UTC 2014 年 1 月 5 日 (日) 9 時 13 分 51 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:55:19 UTC 2014 年 1 月 9 日 (木) 13 時 55 分 19 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:02 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 2 秒 (日本時間)
4511e60 / 3885--
5043e649 / 7481CypFebruary 14, 2014 05:53:50 UTC 2014 年 2 月 14 日 (金) 14 時 53 分 50 秒 (日本時間)

58×10212-319

c193

composite cofactor 合成数の残り
1229211467555003671947588070562945795003987964782088603377532220395192564312456769008112648713052309181783069053595419888579127221126309008768227168637456663033553261054520369951198784702264229<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61890290CypJanuary 1, 2014 13:13:56 UTC 2014 年 1 月 1 日 (水) 22 時 13 分 56 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:55:20 UTC 2014 年 1 月 9 日 (木) 13 時 55 分 20 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:02 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 2 秒 (日本時間)
4511e6124 / 4057CypJune 6, 2015 14:47:37 UTC 2015 年 6 月 6 日 (土) 23 時 47 分 37 秒 (日本時間)

58×10213-319

c156

composite cofactor 合成数の残り
396222598539595012176177823123090838186213623401899713039977258639482391795702296696230869901212726059551686323879881906071088022487968754623743806589901879<156>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61890290CypJanuary 6, 2014 16:10:21 UTC 2014 年 1 月 7 日 (火) 1 時 10 分 21 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:55:20 UTC 2014 年 1 月 9 日 (木) 13 時 55 分 20 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:03 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 3 秒 (日本時間)
4511e6124 / 4057CypJuly 14, 2015 05:59:14 UTC 2015 年 7 月 14 日 (火) 14 時 59 分 14 秒 (日本時間)

58×10214-319

c206

composite cofactor 合成数の残り
87266264421818267075407224596218945621046986705992841608212190730109856579869950417296119924605853457177276561008981348091861748636648968392680668035958913446038487193765294478278259749581868094950848011557<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61890290CypJanuary 6, 2014 16:30:28 UTC 2014 年 1 月 7 日 (火) 1 時 30 分 28 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:55:21 UTC 2014 年 1 月 9 日 (木) 13 時 55 分 21 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:03 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 3 秒 (日本時間)
4511e60 / 3891--
5043e639 / 7472CypJanuary 30, 2014 08:22:06 UTC 2014 年 1 月 30 日 (木) 17 時 22 分 6 秒 (日本時間)
5511e74 / 17741KTakahashiSeptember 14, 2014 13:32:37 UTC 2014 年 9 月 14 日 (日) 22 時 32 分 37 秒 (日本時間)

58×10217-319

c218

name 名前Serge Batalov
date 日付May 24, 2014 23:13:33 UTC 2014 年 5 月 25 日 (日) 8 時 13 分 33 秒 (日本時間)
composite number 合成数
64444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441<218>
prime factors 素因数
7863840277658505879348791619358088281557061<43>
8195034762790613310886183921866127284493079082712164840176304823451470778105323057638463665857784649794621493959670307141197777158297630227040792598275796687431703948507472581<175>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3992343772
Step 1 took 67057ms
Step 2 took 30051ms
********** Factor found in step 2: 7863840277658505879348791619358088281557061
Found probable prime factor of 43 digits: 7863840277658505879348791619358088281557061
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e60--
4511e63950 / 4475850Serge BatalovNovember 8, 2013 17:14:50 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 50 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:01 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 1 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:25 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 25 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:34 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 34 秒 (日本時間)

58×10219-319

c194

name 名前Serge Batalov
date 日付November 3, 2013 14:08:31 UTC 2013 年 11 月 3 日 (日) 23 時 8 分 31 秒 (日本時間)
composite number 合成数
11173831167615193690253222773168176112492117580076248330556993075716044412758873124537250653766540289077631319266848553049144808502476939652211361690750166048408260122800020356390962249202397593<194>
prime factors 素因数
219692291271802202856741225037734331<36>
50861280124713095700942976202934107234665161975703788669576033080343243254826930456781565076302162879299215232145543829903808237935331912318425963045400316603<158>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3879654969
Step 1 took 12629ms
Step 2 took 7220ms
********** Factor found in step 2: 219692291271802202856741225037734331
Found probable prime factor of 36 digits: 219692291271802202856741225037734331
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)

58×10220-319

c196

composite cofactor 合成数の残り
7513930595593894800110032784165260911306514544559685339285662401846524683940933198310956686491363305268521364702900343429849091440702334798250007469827652086363583500600291317153457284053983637561<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61890290CypJanuary 4, 2014 18:42:36 UTC 2014 年 1 月 5 日 (日) 3 時 42 分 36 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:55:22 UTC 2014 年 1 月 9 日 (木) 13 時 55 分 22 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:03 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 3 秒 (日本時間)
4511e6283 / 3920CypMarch 11, 2014 17:53:27 UTC 2014 年 3 月 12 日 (水) 2 時 53 分 27 秒 (日本時間)
5043e639 / 7418CypJanuary 27, 2014 12:04:46 UTC 2014 年 1 月 27 日 (月) 21 時 4 分 46 秒 (日本時間)

58×10221-319

c189

composite cofactor 合成数の残り
441109765226553468789079833140513628744842736772321372784474071373534795828966607268311338030306956436106192125008839143483826960635156297930824579864849969754334420684846632018252440565357<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61890290CypJanuary 4, 2014 09:59:27 UTC 2014 年 1 月 4 日 (土) 18 時 59 分 27 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:55:22 UTC 2014 年 1 月 9 日 (木) 13 時 55 分 22 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:04 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 4 秒 (日本時間)
4511e6124 / 4057CypJuly 13, 2015 20:37:20 UTC 2015 年 7 月 14 日 (火) 5 時 37 分 20 秒 (日本時間)

58×10222-319

c171

composite cofactor 合成数の残り
570954607666129672582239638669946968573981458679312501682975752945751355241338330468183642584915144335403487915281798213840747385742515034889478791233483004743520029866717<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:49 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 49 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:55:23 UTC 2014 年 1 月 9 日 (木) 13 時 55 分 23 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:04 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 4 秒 (日本時間)
4511e6145 / 4084CypJuly 13, 2015 20:29:44 UTC 2015 年 7 月 14 日 (火) 5 時 29 分 44 秒 (日本時間)

58×10223-319

c189

composite cofactor 合成数の残り
346093206235900140027135322112323202850581369050983233781343620069424441759004855499940839049181754893852047958194120479577035619699247669147393867004851674743076084892005074525339517830887<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 1, 2014 20:28:36 UTC 2014 年 1 月 2 日 (木) 5 時 28 分 36 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:55:24 UTC 2014 年 1 月 9 日 (木) 13 時 55 分 24 秒 (日本時間)
4511e6811 / 4345511CypJanuary 10, 2014 16:45:35 UTC 2014 年 1 月 11 日 (土) 1 時 45 分 35 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:36 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 36 秒 (日本時間)

58×10224-319

c199

name 名前Serge Batalov
date 日付November 3, 2013 16:54:36 UTC 2013 年 11 月 4 日 (月) 1 時 54 分 36 秒 (日本時間)
composite number 合成数
5389296905088133135885089285851448306438596135531846906411014574650854464296829979347259608305891432717717898004290872992237002579793063362629275086183850659870383959384274974767386394032708491587057<199>
prime factors 素因数
87613578816492624481876708592589221<35>
61512119215858773395677088273928115570941072222997440304497100143067659172695468325374812662801836441004836408321699039096369326962623080539958191522089846909524317<164>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=4248420164
Step 1 took 12409ms
Step 2 took 7232ms
********** Factor found in step 2: 87613578816492624481876708592589221
Found probable prime factor of 35 digits: 87613578816492624481876708592589221
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)

58×10225-319

c178

name 名前Serge Batalov
date 日付November 4, 2013 06:00:12 UTC 2013 年 11 月 4 日 (月) 15 時 0 分 12 秒 (日本時間)
composite number 合成数
5228049027261150914637453215024754730040464143041518323210236940529727692956083722025895764422122914316869895668770914227320041625506568322116602845589726502792640768775954451507<178>
prime factors 素因数
29716840775902377734810613346885971779<38>
175928829941459234930634971587153697504984824872485035095724923677291822718887053511556049703093747301350283200598438817970795634731128113233<141>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2468610681
Step 1 took 15749ms
Step 2 took 6381ms
********** Factor found in step 2: 29716840775902377734810613346885971779
Found probable prime factor of 38 digits: 29716840775902377734810613346885971779
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)

58×10227-319

c204

name 名前Serge Batalov
date 日付November 2, 2013 16:01:49 UTC 2013 年 11 月 3 日 (日) 1 時 1 分 49 秒 (日本時間)
composite number 合成数
497672050351729089844440061332918810945779438179880890921375288706402955410359701011058074358283731112732573826951650595792435066391012582388901438960877388201467878627882512222995293546650171434348938231<204>
prime factors 素因数
122877159576341870512756151555707369<36>
composite cofactor 合成数の残り
4050159135087529148145155985546173049951290875446813595006710363771894067532249122666634342111164946834742952470064267966438484575858223320719483866723836245198393842399<169>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=659739945
Step 1 took 12320ms
Step 2 took 7461ms
********** Factor found in step 2: 122877159576341870512756151555707369
Found probable prime factor of 36 digits: 122877159576341870512756151555707369
Composite cofactor

c169

name 名前Serge Batalov
date 日付November 3, 2013 14:14:23 UTC 2013 年 11 月 3 日 (日) 23 時 14 分 23 秒 (日本時間)
composite number 合成数
4050159135087529148145155985546173049951290875446813595006710363771894067532249122666634342111164946834742952470064267966438484575858223320719483866723836245198393842399<169>
prime factors 素因数
314183513502930659122289844246529<33>
12891061946347957687652785984347919955126201107074945702471663008378396427545102639419302430290828789044170865061973823598221778431800031<137>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=655774020
Step 1 took 12112ms
Step 2 took 7381ms
********** Factor found in step 2: 314183513502930659122289844246529
Found probable prime factor of 33 digits: 314183513502930659122289844246529
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)

58×10228-319

c196

composite cofactor 合成数の残り
9573087743610608871417881176468700553328129106748037787416695319095173634017281731554268857187911250263404205712612797807773238128430534923680821049448155556326291372607816259789218173829182593443<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61890290CypJanuary 5, 2014 18:53:09 UTC 2014 年 1 月 6 日 (月) 3 時 53 分 9 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:55:25 UTC 2014 年 1 月 9 日 (木) 13 時 55 分 25 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:04 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 4 秒 (日本時間)
4511e6124 / 4057CypJuly 13, 2015 20:36:18 UTC 2015 年 7 月 14 日 (火) 5 時 36 分 18 秒 (日本時間)

58×10229-319

c193

composite cofactor 合成数の残り
1516150987439564222255348519606760826764104059688392559240891196267353754141236564184080821493356232642369899462666196695202873234191321735111003326067583531522093237254764979341216119862173693<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61890290CypJanuary 5, 2014 08:34:21 UTC 2014 年 1 月 5 日 (日) 17 時 34 分 21 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:55:26 UTC 2014 年 1 月 9 日 (木) 13 時 55 分 26 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:05 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 5 秒 (日本時間)
4511e6124 / 4057CypJuly 13, 2015 20:11:54 UTC 2015 年 7 月 14 日 (火) 5 時 11 分 54 秒 (日本時間)

58×10231-319

c228

composite cofactor 合成数の残り
581681058258366679704345558664540522108894705699471472555685932344475534294109977835945883603614445748212333644231829988667248347724925033346371012225331207188775561372366138139222352599011142200960776644502612550270281112414879<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e60--
4511e65250850Serge BatalovNovember 8, 2013 17:16:07 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 7 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:58 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 58 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:18 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 18 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:00 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 0 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:37 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 37 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 00:18:49 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 49 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:24:47 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 47 秒 (日本時間)

58×10232-319

c200

name 名前Cyp
date 日付January 5, 2014 05:17:16 UTC 2014 年 1 月 5 日 (日) 14 時 17 分 16 秒 (日本時間)
composite number 合成数
65403422632066331569991502085049132993126818154369178807694024715964757537984398163257831240089161195140562978605996500706073886491153941690988622764818853425845802423159809222022422910477827223476099<200>
prime factors 素因数
6379917975095345694796631155438631254747<40>
composite cofactor 合成数の残り
10251451960256416895417306298233333286804133587024670102789340670593239378686899531377659633808647094821024323932947336037397827221055592401459293009353427268217<161>
factorization results 素因数分解の結果
Run 154 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3321224075
Step 1 took 18927ms
Step 2 took 6164ms
********** Factor found in step 2: 6379917975095345694796631155438631254747
Found probable prime factor of 40 digits: 6379917975095345694796631155438631254747
Composite cofactor 10251451960256416895417306298233333286804133587024670102789340670593239378686899531377659633808647094821024323932947336037397827221055592401459293009353427268217 has 161 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 KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 5, 2014 05:17:15 UTC 2014 年 1 月 5 日 (日) 14 時 17 分 15 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:55:27 UTC 2014 年 1 月 9 日 (木) 13 時 55 分 27 秒 (日本時間)
4511e6690230Ignacio SantosFebruary 8, 2014 13:55:07 UTC 2014 年 2 月 8 日 (土) 22 時 55 分 7 秒 (日本時間)
230Ignacio SantosFebruary 8, 2014 17:39:02 UTC 2014 年 2 月 9 日 (日) 2 時 39 分 2 秒 (日本時間)
230Ignacio SantosFebruary 8, 2014 21:45:44 UTC 2014 年 2 月 9 日 (日) 6 時 45 分 44 秒 (日本時間)
5043e61200 / 7376Erik BrangerFebruary 26, 2014 11:55:10 UTC 2014 年 2 月 26 日 (水) 20 時 55 分 10 秒 (日本時間)

58×10233-319

c171

name 名前Serge Batalov
date 日付November 3, 2013 14:03:40 UTC 2013 年 11 月 3 日 (日) 23 時 3 分 40 秒 (日本時間)
composite number 合成数
101094623155732167865450485969878763785396750032823014279800730738609420581382857467940336678190285918862411985240017961382797744935538054162249997185247475588957605492739<171>
prime factors 素因数
7716969622044638203493044137605435059202593<43>
composite cofactor 合成数の残り
13100300779588502826612672860408252559860862107209456525408693292314804645332775141506829560225398505581538007889378197312226723<128>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2618100178
Step 1 took 8284ms
Step 2 took 5884ms
********** Factor found in step 2: 7716969622044638203493044137605435059202593
Found probable prime factor of 43 digits: 7716969622044638203493044137605435059202593
Composite cofactor 

c128

name 名前Serge Batalov
date 日付November 4, 2013 17:03:00 UTC 2013 年 11 月 5 日 (火) 2 時 3 分 0 秒 (日本時間)
composite number 合成数
13100300779588502826612672860408252559860862107209456525408693292314804645332775141506829560225398505581538007889378197312226723<128>
prime factors 素因数
338443563250578296053220237609567303<36>
38707489821247526526917875709521684591664000245586771375456851536915723455869528712072179141<92>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2039041272
Step 1 took 8217ms
Step 2 took 5924ms
********** Factor found in step 2: 338443563250578296053220237609567303
Found probable prime factor of 36 digits: 338443563250578296053220237609567303
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)

58×10234-319

c203

composite cofactor 合成数の残り
60064336321632280818211495791420327816055136626961731188920369230376793519565268701588512899645071253798712608279861088994505023012579225493459223493185126195519753610828052947959024204711465791978465861<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61890290CypJanuary 3, 2014 13:41:17 UTC 2014 年 1 月 3 日 (金) 22 時 41 分 17 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:55:27 UTC 2014 年 1 月 9 日 (木) 13 時 55 分 27 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:05 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 5 秒 (日本時間)
4511e6124 / 4057CypJanuary 31, 2015 08:47:03 UTC 2015 年 1 月 31 日 (土) 17 時 47 分 3 秒 (日本時間)

58×10236-319

c236

composite cofactor 合成数の残り
14987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987080103359173126614987<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e60--
4511e65250850Serge BatalovNovember 8, 2013 17:17:05 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 5 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:41 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 41 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:19 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 19 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:19 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 19 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:37 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 37 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 00:18:56 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 56 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 01:48:44 UTC 2014 年 12 月 18 日 (木) 10 時 48 分 44 秒 (日本時間)

58×10240-319

c218

composite cofactor 合成数の残り
14873384863247355425178821865515554107909286009372867610377830913086263954560260904135788914072832323660825263154427354339164670473930652800158578364302740436925400603464573213283388543807063094849385510107751609033009<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 6, 2014 02:19:31 UTC 2014 年 1 月 6 日 (月) 11 時 19 分 31 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:55:28 UTC 2014 年 1 月 9 日 (木) 13 時 55 分 28 秒 (日本時間)
4511e6300 / 3682Serge BatalovMay 27, 2014 00:34:38 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 38 秒 (日本時間)
5043e6189 / 7463CypFebruary 6, 2014 04:01:32 UTC 2014 年 2 月 6 日 (木) 13 時 1 分 32 秒 (日本時間)

58×10241-319

c215

composite cofactor 合成数の残り
42183591866113611892255895271482786124385687140477619034925868438501249890485721024022451064311273574593557026038500635325738447409578240044716826370677868754724224238320913689263372837417067750678217157426790027339<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61890290CypJanuary 4, 2014 04:28:22 UTC 2014 年 1 月 4 日 (土) 13 時 28 分 22 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:55:29 UTC 2014 年 1 月 9 日 (木) 13 時 55 分 29 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:05 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 5 秒 (日本時間)
4511e6124 / 4057CypMay 18, 2015 20:37:29 UTC 2015 年 5 月 19 日 (火) 5 時 37 分 29 秒 (日本時間)

58×10244-319

c193

composite cofactor 合成数の残り
1221819931240875769403040689186493934459892855667417756058029018188690384486459707192353707560989411840099530887561729930945422651504808920205600717570184589554844710147973561597358066284616997<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61890290CypJanuary 2, 2014 15:48:52 UTC 2014 年 1 月 3 日 (金) 0 時 48 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:55:29 UTC 2014 年 1 月 9 日 (木) 13 時 55 分 29 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:06 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 6 秒 (日本時間)
4511e64499Youcef LemsaferNovember 10, 2014 14:02:58 UTC 2014 年 11 月 10 日 (月) 23 時 2 分 58 秒 (日本時間)
5043e60 / 5548--
5511e7383 / 17473Youcef LemsaferNovember 12, 2014 10:01:13 UTC 2014 年 11 月 12 日 (水) 19 時 1 分 13 秒 (日本時間)

58×10245-319

c240

composite cofactor 合成数の残り
126922328939829384440491032729570379514613563414629929830115119208843230112873996610604855142342407163811362870303827327510968441660118678067180382604734609896234649975242486750676556191939736227827681230369300867389384290810217221219864071<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61890290CypJanuary 2, 2014 15:47:57 UTC 2014 年 1 月 3 日 (金) 0 時 47 分 57 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:55:30 UTC 2014 年 1 月 9 日 (木) 13 時 55 分 30 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:06 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 6 秒 (日本時間)
4511e6513 / 4057Youcef LemsaferNovember 6, 2014 06:07:19 UTC 2014 年 11 月 6 日 (木) 15 時 7 分 19 秒 (日本時間)

58×10246-319

c247

composite cofactor 合成数の残り
2148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e60--
4511e6850Serge BatalovNovember 8, 2013 17:18:00 UTC 2013 年 11 月 9 日 (土) 2 時 18 分 0 秒 (日本時間)
5043e64775775Serge BatalovNovember 25, 2013 02:18:08 UTC 2013 年 11 月 25 日 (月) 11 時 18 分 8 秒 (日本時間)
2000Serge BatalovJanuary 4, 2014 09:52:44 UTC 2014 年 1 月 4 日 (土) 18 時 52 分 44 秒 (日本時間)
2000Serge BatalovJanuary 4, 2015 08:44:31 UTC 2015 年 1 月 4 日 (日) 17 時 44 分 31 秒 (日本時間)
5511e73200 / 160121100Serge BatalovJanuary 4, 2015 08:59:01 UTC 2015 年 1 月 4 日 (日) 17 時 59 分 1 秒 (日本時間)
1000Serge BatalovJanuary 4, 2015 10:44:46 UTC 2015 年 1 月 4 日 (日) 19 時 44 分 46 秒 (日本時間)
1100Serge BatalovJanuary 6, 2015 01:24:07 UTC 2015 年 1 月 6 日 (火) 10 時 24 分 7 秒 (日本時間)

58×10247-319

c212

composite cofactor 合成数の残り
18226598435985496487517227313692675919620500504903555429314637250357410456513848998707787293040293964099851966760208317351131253656625565896362937450707746531333264218116751880519744014155012824078697546024818719<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 3, 2014 00:20:29 UTC 2014 年 1 月 3 日 (金) 9 時 20 分 29 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:55:31 UTC 2014 年 1 月 9 日 (木) 13 時 55 分 31 秒 (日本時間)
4511e6693 / 4208393CypMarch 6, 2014 23:50:10 UTC 2014 年 3 月 7 日 (金) 8 時 50 分 10 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:38 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 38 秒 (日本時間)
5043e639 / 7375CypJanuary 29, 2014 20:25:43 UTC 2014 年 1 月 30 日 (木) 5 時 25 分 43 秒 (日本時間)