Table of contents 目次

59×10105+139

c104

name 名前Erik Branger
date 日付October 15, 2009 08:05:47 UTC 2009 年 10 月 15 日 (木) 17 時 5 分 47 秒 (日本時間)
composite number 合成数
58013765978367748279252704031465093411996066863323500491642084562438544739429695181907571288102261553589<104>
prime factors 素因数
89044848505139686952915504208989039493279059687<47>
651511760110627643845574012013444624423762847008384690947<57>
factorization results 素因数分解の結果
Number: 65557_105
N=58013765978367748279252704031465093411996066863323500491642084562438544739429695181907571288102261553589
  ( 104 digits)
SNFS difficulty: 107 digits.
Divisors found:
 r1=89044848505139686952915504208989039493279059687 (pp47)
 r2=651511760110627643845574012013444624423762847008384690947 (pp57)
Version: Msieve-1.40
Total time: 0.50 hours.
Scaled time: 0.49 units (timescale=0.983).
Factorization parameters were as follows:
n: 58013765978367748279252704031465093411996066863323500491642084562438544739429695181907571288102261553589
m: 200000000000000000000000000
deg: 4
c4: 295
c0: 104
skew: 0.77
type: snfs
lss: 1
rlim: 440000
alim: 440000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 440000/440000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [220000, 300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 37846 x 38071
Total sieving time: 0.48 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,107.000,4,0,0,0,0,0,0,0,0,440000,440000,25,25,44,44,2.2,2.2,20000
total time: 0.50 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 KamadaOctober 15, 2009 07:00:00 UTC 2009 年 10 月 15 日 (木) 16 時 0 分 0 秒 (日本時間)

59×10110+139

c89

name 名前Dmitry Domanov
date 日付October 15, 2009 07:59:00 UTC 2009 年 10 月 15 日 (木) 16 時 59 分 0 秒 (日本時間)
composite number 合成数
10364129574979876503127217254081877275064792906654360328149891993601289490418900988663607<89>
prime factors 素因数
79383400887881116058417233520726189876581<41>
130557893200089547416664789600785124972153290347<48>
factorization results 素因数分解の結果
10/15/09 10:49:09 v1.11 @ DB-SERVER, starting SIQS on c89: 10364129574979876503127217254081877275064792906654360328149891993601289490418900988663607
10/15/09 10:49:09 v1.11 @ DB-SERVER, random seeds: 1344519226, 1972906752
10/15/09 10:49:10 v1.11 @ DB-SERVER, ==== sieve params ====
10/15/09 10:49:10 v1.11 @ DB-SERVER, n = 89 digits, 294 bits
10/15/09 10:49:10 v1.11 @ DB-SERVER, factor base: 62272 primes (max prime = 1654859)
10/15/09 10:49:10 v1.11 @ DB-SERVER, single large prime cutoff: 182034490 (110 * pmax)
10/15/09 10:49:10 v1.11 @ DB-SERVER, double large prime range from 43 to 50 bits
10/15/09 10:49:10 v1.11 @ DB-SERVER, double large prime cutoff: 738374392384870
10/15/09 10:49:10 v1.11 @ DB-SERVER, using 3159864 large prime slices of factor base
10/15/09 10:49:10 v1.11 @ DB-SERVER, buckets hold 1024 elements
10/15/09 10:49:10 v1.11 @ DB-SERVER, sieve interval: 18 blocks of size 32768
10/15/09 10:49:10 v1.11 @ DB-SERVER, polynomial A has ~ 0 factors
10/15/09 10:49:10 v1.11 @ DB-SERVER, using multiplier of 2
10/15/09 10:49:10 v1.11 @ DB-SERVER, using small prime variation correction of 20 bits
10/15/09 10:49:10 v1.11 @ DB-SERVER, using SSE2 for trial division and x128 sieve scanning
10/15/09 10:49:10 v1.11 @ DB-SERVER, trial factoring cutoff at 98 bits
10/15/09 10:49:10 v1.11 @ DB-SERVER, ==== sieving started ( 8 threads) ====
10/15/09 10:56:42 v1.11 @ DB-SERVER, sieve time = 112.7813, relation time = 53.9219, poly_time = 224.5469
10/15/09 10:56:42 v1.11 @ DB-SERVER, 63386 relations found: 19900 full + 43486 from 611150 partial, using 18049896 polys (743 A polys)
10/15/09 10:56:42 v1.11 @ DB-SERVER, on average, sieving found 0.03 rels/poly and 1390.89 rels/sec
10/15/09 10:56:42 v1.11 @ DB-SERVER, trial division touched 15764889 sieve locations out of 21292523716608
10/15/09 10:56:42 v1.11 @ DB-SERVER, ==== post processing stage (msieve-1.38) ====
10/15/09 10:56:43 v1.11 @ DB-SERVER, begin with 631050 relations
10/15/09 10:56:44 v1.11 @ DB-SERVER, reduce to 135193 relations in 10 passes
10/15/09 10:57:02 v1.11 @ DB-SERVER, failed to read relation 102445
10/15/09 10:57:04 v1.11 @ DB-SERVER, recovered 135192 relations
10/15/09 10:57:04 v1.11 @ DB-SERVER, recovered 114027 polynomials
10/15/09 10:57:05 v1.11 @ DB-SERVER, attempting to build 63385 cycles
10/15/09 10:57:05 v1.11 @ DB-SERVER, found 63385 cycles in 4 passes
10/15/09 10:57:05 v1.11 @ DB-SERVER, distribution of cycle lengths:
10/15/09 10:57:05 v1.11 @ DB-SERVER,    length 1 : 19900
10/15/09 10:57:05 v1.11 @ DB-SERVER,    length 2 : 16082
10/15/09 10:57:05 v1.11 @ DB-SERVER,    length 3 : 12004
10/15/09 10:57:05 v1.11 @ DB-SERVER,    length 4 : 7301
10/15/09 10:57:05 v1.11 @ DB-SERVER,    length 5 : 4010
10/15/09 10:57:05 v1.11 @ DB-SERVER,    length 6 : 2188
10/15/09 10:57:05 v1.11 @ DB-SERVER,    length 7 : 1060
10/15/09 10:57:05 v1.11 @ DB-SERVER,    length 9+: 840
10/15/09 10:57:05 v1.11 @ DB-SERVER, largest cycle: 14 relations
10/15/09 10:57:05 v1.11 @ DB-SERVER, matrix is 62272 x 63385 (13.4 MB) with weight 3246634 (51.22/col)
10/15/09 10:57:05 v1.11 @ DB-SERVER, sparse part has weight 3246634 (51.22/col)
10/15/09 10:57:05 v1.11 @ DB-SERVER, filtering completed in 4 passes
10/15/09 10:57:05 v1.11 @ DB-SERVER, matrix is 55816 x 55880 (11.8 MB) with weight 2866829 (51.30/col)
10/15/09 10:57:05 v1.11 @ DB-SERVER, sparse part has weight 2866829 (51.30/col)
10/15/09 10:57:06 v1.11 @ DB-SERVER, saving the first 48 matrix rows for later
10/15/09 10:57:06 v1.11 @ DB-SERVER, matrix is 55768 x 55880 (10.1 MB) with weight 2493883 (44.63/col)
10/15/09 10:57:06 v1.11 @ DB-SERVER, sparse part has weight 2314701 (41.42/col)
10/15/09 10:57:06 v1.11 @ DB-SERVER, matrix includes 64 packed rows
10/15/09 10:57:06 v1.11 @ DB-SERVER, using block size 22352 for processor cache size 4096 kB
10/15/09 10:57:06 v1.11 @ DB-SERVER, commencing Lanczos iteration
10/15/09 10:57:06 v1.11 @ DB-SERVER, memory use: 8.9 MB
10/15/09 10:57:31 v1.11 @ DB-SERVER, lanczos halted after 884 iterations (dim = 55768)
10/15/09 10:57:31 v1.11 @ DB-SERVER, recovered 18 nontrivial dependencies
10/15/09 10:57:32 v1.11 @ DB-SERVER, prp48 = 130557893200089547416664789600785124972153290347
10/15/09 10:57:34 v1.11 @ DB-SERVER, prp41 = 79383400887881116058417233520726189876581
10/15/09 10:57:34 v1.11 @ DB-SERVER, Lanczos elapsed time = 48.9380 seconds.
10/15/09 10:57:34 v1.11 @ DB-SERVER, Sqrt elapsed time = 2.5620 seconds.
10/15/09 10:57:34 v1.11 @ DB-SERVER, SIQS elapsed time = 505.2031 seconds.
software ソフトウェア
YAFU v1.11/SIQS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 15, 2009 07:00:00 UTC 2009 年 10 月 15 日 (木) 16 時 0 分 0 秒 (日本時間)

59×10111+139

c106

name 名前Erik Branger
date 日付October 15, 2009 09:21:17 UTC 2009 年 10 月 15 日 (木) 18 時 21 分 17 秒 (日本時間)
composite number 合成数
1252027196492320606307114589369987766421042273594807966296786001622924337853215175070432365522676684751669<106>
prime factors 素因数
8734694642299804010496711075496249163<37>
143339549665432578318932537462122730827724811404061270500557851348863<69>
factorization results 素因数分解の結果
Number: 65557_111
N=1252027196492320606307114589369987766421042273594807966296786001622924337853215175070432365522676684751669
  ( 106 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=8734694642299804010496711075496249163 (pp37)
 r2=143339549665432578318932537462122730827724811404061270500557851348863 (pp69)
Version: Msieve-1.40
Total time: 1.04 hours.
Scaled time: 1.02 units (timescale=0.979).
Factorization parameters were as follows:
n: 1252027196492320606307114589369987766421042273594807966296786001622924337853215175070432365522676684751669
m: 20000000000000000000000
deg: 5
c5: 295
c0: 208
skew: 0.93
type: snfs
lss: 1
rlim: 560000
alim: 560000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 560000/560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [280000, 480001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 65478 x 65703
Total sieving time: 1.01 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,113.000,5,0,0,0,0,0,0,0,0,560000,560000,25,25,45,45,2.2,2.2,50000
total time: 1.04 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 KamadaOctober 15, 2009 07:00:00 UTC 2009 年 10 月 15 日 (木) 16 時 0 分 0 秒 (日本時間)

59×10112+139

c113

name 名前Dmitry Domanov
date 日付October 15, 2009 11:20:53 UTC 2009 年 10 月 15 日 (木) 20 時 20 分 53 秒 (日本時間)
composite number 合成数
65555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557<113>
prime factors 素因数
1188089508824001504560958518820730054517080662378037633<55>
55177286785777581520805192991429931927549802414792232067429<59>
factorization results 素因数分解の結果
Number: snfs113
N=65555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557
  ( 113 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=1188089508824001504560958518820730054517080662378037633 (pp55)
 r2=55177286785777581520805192991429931927549802414792232067429 (pp59)
Version: Msieve-1.40
Total time: 1.03 hours.
Scaled time: 2.03 units (timescale=1.975).
Factorization parameters were as follows:
n: 65555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557
m: 20000000000000000000000
deg: 5
c5: 1475
c0: 104
skew: 0.59
type: snfs
lss: 1
rlim: 570000
alim: 570000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 570000/570000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [285000, 535001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 65504 x 65729
Total sieving time: 0.99 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,114.000,5,0,0,0,0,0,0,0,0,570000,570000,25,25,45,45,2.2,2.2,50000
total time: 1.03 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 KamadaOctober 15, 2009 07:00:00 UTC 2009 年 10 月 15 日 (木) 16 時 0 分 0 秒 (日本時間)

59×10117+139

c96

name 名前Erik Branger
date 日付October 15, 2009 10:27:06 UTC 2009 年 10 月 15 日 (木) 19 時 27 分 6 秒 (日本時間)
composite number 合成数
188295388971981404131261747856072315862697613453392705361511379866453078255604311299432750438327<96>
prime factors 素因数
203428417563359135166031212662690530896047<42>
925610055995915867960673659959661342458083279262053241<54>
factorization results 素因数分解の結果
Number: 65557_117
N=188295388971981404131261747856072315862697613453392705361511379866453078255604311299432750438327
  ( 96 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=203428417563359135166031212662690530896047 (pp42)
 r2=925610055995915867960673659959661342458083279262053241 (pp54)
Version: Msieve-1.40
Total time: 1.85 hours.
Scaled time: 1.84 units (timescale=0.997).
Factorization parameters were as follows:
n: 188295388971981404131261747856072315862697613453392705361511379866453078255604311299432750438327
m: 200000000000000000000000
deg: 5
c5: 1475
c0: 104
skew: 0.59
type: snfs
lss: 1
rlim: 690000
alim: 690000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 690000/690000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [345000, 695001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 81706 x 81931
Total sieving time: 1.79 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,119.000,5,0,0,0,0,0,0,0,0,690000,690000,25,25,45,45,2.2,2.2,50000
total time: 1.85 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 KamadaOctober 15, 2009 07:00:00 UTC 2009 年 10 月 15 日 (木) 16 時 0 分 0 秒 (日本時間)

59×10119+139

c118

name 名前Dmitry Domanov
date 日付October 15, 2009 12:33:52 UTC 2009 年 10 月 15 日 (木) 21 時 33 分 52 秒 (日本時間)
composite number 合成数
3468547912992357436801881246325690770135214579659024103468547912992357436801881246325690770135214579659024103468547913<118>
prime factors 素因数
1736960267193906384095189045045358053<37>
21996508258490260973039613031960873529<38>
90782903336123624963421654695248978637772349<44>
factorization results 素因数分解の結果
Number: snfs118
N=3468547912992357436801881246325690770135214579659024103468547912992357436801881246325690770135214579659024103468547913
  ( 118 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=1736960267193906384095189045045358053 (pp37)
 r2=21996508258490260973039613031960873529 (pp38)
 r3=90782903336123624963421654695248978637772349 (pp44)
Version: Msieve-1.40
Total time: 1.15 hours.
Scaled time: 2.27 units (timescale=1.969).
Factorization parameters were as follows:
n: 3468547912992357436801881246325690770135214579659024103468547912992357436801881246325690770135214579659024103468547913
m: 1000000000000000000000000
deg: 5
c5: 59
c0: 130
skew: 1.17
type: snfs
lss: 1
rlim: 750000
alim: 750000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 750000/750000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [375000, 625001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 93874 x 94099
Total sieving time: 1.10 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,121.000,5,0,0,0,0,0,0,0,0,750000,750000,25,25,46,46,2.2,2.2,50000
total time: 1.15 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 KamadaOctober 15, 2009 07:00:00 UTC 2009 年 10 月 15 日 (木) 16 時 0 分 0 秒 (日本時間)

59×10121+139

c113

name 名前Serge Batalov
date 日付October 16, 2009 02:28:41 UTC 2009 年 10 月 16 日 (金) 11 時 28 分 41 秒 (日本時間)
composite number 合成数
32688872494665826600540483901281380902958693546154519166587863352421866900860032362071309411611676918178814750879<113>
prime factors 素因数
31077092723645769101180302178920757<35>
958494576036167836035177225945730085227<39>
1097412488009198204946538922458400988361<40>
factorization results 素因数分解の結果
SNFS difficulty: 123 digits.
Divisors found:
 r1=31077092723645769101180302178920757 (pp35)
 r2=958494576036167836035177225945730085227 (pp39)
 r3=1097412488009198204946538922458400988361 (pp40)
Version: Msieve v. 1.43 SVN74
Total time: 1.28 hours.
Scaled time: 3.07 units (timescale=2.400).
Factorization parameters were as follows:
n: 32688872494665826600540483901281380902958693546154519166587863352421866900860032362071309411611676918178814750879
m: 2000000000000000000000000
deg: 5
c5: 295
c0: 208
skew: 0.93
type: snfs
lss: 1
rlim: 820000
alim: 820000
lpbr: 25
lpba: 25
mfbr: 48
mfba: 48
rlambda: 2.4
alambda: 2.4
Factor base limits: 820000/820000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 48/48
Sieved rational special-q in [512500, 812501)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 133412 x 133645
Total sieving time: 1.06 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,123.000,5,0,0,0,0,0,0,0,0,820000,820000,25,25,48,48,2.4,2.4,50000
total time: 1.28 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 15, 2009 07:00:00 UTC 2009 年 10 月 15 日 (木) 16 時 0 分 0 秒 (日本時間)

59×10123+139

c115

name 名前Dmitry Domanov
date 日付October 15, 2009 18:38:30 UTC 2009 年 10 月 16 日 (金) 3 時 38 分 30 秒 (日本時間)
composite number 合成数
9901890991629789058242256365154084293252981092378255560901687199133003716802836976489009944306161264087447376163267<115>
prime factors 素因数
981967760548551132769078879770631<33>
10083723101151866053703913121273268266204944970451697080119605510395613352043008357<83>
factorization results 素因数分解の結果
Number: snfs115
N=9901890991629789058242256365154084293252981092378255560901687199133003716802836976489009944306161264087447376163267
  ( 115 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=981967760548551132769078879770631 (pp33)
 r2=10083723101151866053703913121273268266204944970451697080119605510395613352043008357 (pp83)
Version: Msieve-1.40
Total time: 1.73 hours.
Scaled time: 3.40 units (timescale=1.963).
Factorization parameters were as follows:
n: 9901890991629789058242256365154084293252981092378255560901687199133003716802836976489009944306161264087447376163267
m: 5000000000000000000000000
deg: 5
c5: 472
c0: 325
skew: 0.93
type: snfs
lss: 1
rlim: 890000
alim: 890000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 890000/890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [445000, 795001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 117791 x 118016
Total sieving time: 1.65 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,126.000,5,0,0,0,0,0,0,0,0,890000,890000,26,26,46,46,2.3,2.3,50000
total time: 1.73 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 KamadaOctober 15, 2009 07:00:00 UTC 2009 年 10 月 15 日 (木) 16 時 0 分 0 秒 (日本時間)

59×10126+139

c96

name 名前Erik Branger
date 日付October 15, 2009 12:45:13 UTC 2009 年 10 月 15 日 (木) 21 時 45 分 13 秒 (日本時間)
composite number 合成数
257774456341828307211875452312310580375006737357665999128945835024477312715502955571986493347103<96>
prime factors 素因数
18919908904716415662053348709684209<35>
13624508322953365952503185313920601420001183323669772126013967<62>
factorization results 素因数分解の結果
Number: 65557_126
N=257774456341828307211875452312310580375006737357665999128945835024477312715502955571986493347103
  ( 96 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=18919908904716415662053348709684209 (pp35)
 r2=13624508322953365952503185313920601420001183323669772126013967 (pp62)
Version: Msieve-1.40
Total time: 2.74 hours.
Scaled time: 2.47 units (timescale=0.902).
Factorization parameters were as follows:
n: 257774456341828307211875452312310580375006737357665999128945835024477312715502955571986493347103 
m: 20000000000000000000000000
deg: 5
c5: 295
c0: 208
skew: 0.93
type: snfs
lss: 1
rlim: 990000
alim: 990000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 990000/990000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [495000, 945001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 151331 x 151557
Total sieving time: 2.63 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,128.000,5,0,0,0,0,0,0,0,0,990000,990000,26,26,47,47,2.3,2.3,50000
total time: 2.74 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 KamadaOctober 15, 2009 07:00:00 UTC 2009 年 10 月 15 日 (木) 16 時 0 分 0 秒 (日本時間)

59×10128+139

c91

name 名前Dmitry Domanov
date 日付October 15, 2009 08:24:51 UTC 2009 年 10 月 15 日 (木) 17 時 24 分 51 秒 (日本時間)
composite number 合成数
4542628603919644465075502386845628450173962547307743182559982213018865442956437146572013133<91>
prime factors 素因数
388037870916555061008960738628118331241660151<45>
11706663046031675214351099687927177731673630683<47>
factorization results 素因数分解の結果
10/15/09 11:03:03 v1.11 @ DB-SERVER, starting SIQS on c91: 4542628603919644465075502386845628450173962547307743182559982213018865442956437146572013133
10/15/09 11:03:03 v1.11 @ DB-SERVER, random seeds: 1344519226, 1972906752
10/15/09 11:03:04 v1.11 @ DB-SERVER, ==== sieve params ====
10/15/09 11:03:04 v1.11 @ DB-SERVER, n = 92 digits, 305 bits
10/15/09 11:03:04 v1.11 @ DB-SERVER, factor base: 69579 primes (max prime = 1856333)
10/15/09 11:03:04 v1.11 @ DB-SERVER, single large prime cutoff: 222759960 (120 * pmax)
10/15/09 11:03:04 v1.11 @ DB-SERVER, double large prime range from 43 to 50 bits
10/15/09 11:03:04 v1.11 @ DB-SERVER, double large prime cutoff: 1061956765889454
10/15/09 11:03:04 v1.11 @ DB-SERVER, using 875902009 large prime slices of factor base
10/15/09 11:03:04 v1.11 @ DB-SERVER, buckets hold 1024 elements
10/15/09 11:03:04 v1.11 @ DB-SERVER, sieve interval: 22 blocks of size 32768
10/15/09 11:03:04 v1.11 @ DB-SERVER, polynomial A has ~ 538443777 factors
10/15/09 11:03:04 v1.11 @ DB-SERVER, using multiplier of 13
10/15/09 11:03:04 v1.11 @ DB-SERVER, using small prime variation correction of 20 bits
10/15/09 11:03:04 v1.11 @ DB-SERVER, using SSE2 for trial division and x128 sieve scanning
10/15/09 11:03:04 v1.11 @ DB-SERVER, trial factoring cutoff at 97 bits
10/15/09 11:03:04 v1.11 @ DB-SERVER, ==== sieving started ( 8 threads) ====
10/15/09 11:22:00 v1.11 @ DB-SERVER, sieve time = 226.7188, relation time = 109.3594, poly_time = 408.7031
10/15/09 11:22:00 v1.11 @ DB-SERVER, 70162 relations found: 18480 full + 51682 from 889705 partial, using 29037424 polys (855 A polys)
10/15/09 11:22:00 v1.11 @ DB-SERVER, on average, sieving found 0.03 rels/poly and 799.02 rels/sec
10/15/09 11:22:00 v1.11 @ DB-SERVER, trial division touched 35103913 sieve locations out of 41865925623808
10/15/09 11:22:00 v1.11 @ DB-SERVER, ==== post processing stage (msieve-1.38) ====
10/15/09 11:22:01 v1.11 @ DB-SERVER, begin with 908185 relations
10/15/09 11:22:02 v1.11 @ DB-SERVER, reduce to 171825 relations in 10 passes
10/15/09 11:22:21 v1.11 @ DB-SERVER, recovered 171825 relations
10/15/09 11:22:21 v1.11 @ DB-SERVER, recovered 147381 polynomials
10/15/09 11:22:21 v1.11 @ DB-SERVER, attempting to build 70162 cycles
10/15/09 11:22:21 v1.11 @ DB-SERVER, found 70162 cycles in 6 passes
10/15/09 11:22:21 v1.11 @ DB-SERVER, distribution of cycle lengths:
10/15/09 11:22:21 v1.11 @ DB-SERVER,    length 1 : 18480
10/15/09 11:22:21 v1.11 @ DB-SERVER,    length 2 : 13955
10/15/09 11:22:21 v1.11 @ DB-SERVER,    length 3 : 12442
10/15/09 11:22:21 v1.11 @ DB-SERVER,    length 4 : 9383
10/15/09 11:22:21 v1.11 @ DB-SERVER,    length 5 : 6554
10/15/09 11:22:21 v1.11 @ DB-SERVER,    length 6 : 4095
10/15/09 11:22:21 v1.11 @ DB-SERVER,    length 7 : 2377
10/15/09 11:22:21 v1.11 @ DB-SERVER,    length 9+: 2876
10/15/09 11:22:21 v1.11 @ DB-SERVER, largest cycle: 17 relations
10/15/09 11:22:22 v1.11 @ DB-SERVER, matrix is 69579 x 70162 (17.5 MB) with weight 4314262 (61.49/col)
10/15/09 11:22:22 v1.11 @ DB-SERVER, sparse part has weight 4314262 (61.49/col)
10/15/09 11:22:22 v1.11 @ DB-SERVER, filtering completed in 3 passes
10/15/09 11:22:22 v1.11 @ DB-SERVER, matrix is 65189 x 65253 (16.3 MB) with weight 4022563 (61.65/col)
10/15/09 11:22:22 v1.11 @ DB-SERVER, sparse part has weight 4022563 (61.65/col)
10/15/09 11:22:23 v1.11 @ DB-SERVER, saving the first 48 matrix rows for later
10/15/09 11:22:23 v1.11 @ DB-SERVER, matrix is 65141 x 65253 (14.0 MB) with weight 3551848 (54.43/col)
10/15/09 11:22:23 v1.11 @ DB-SERVER, sparse part has weight 3288973 (50.40/col)
10/15/09 11:22:23 v1.11 @ DB-SERVER, matrix includes 64 packed rows
10/15/09 11:22:23 v1.11 @ DB-SERVER, using block size 26101 for processor cache size 4096 kB
10/15/09 11:22:23 v1.11 @ DB-SERVER, commencing Lanczos iteration
10/15/09 11:22:24 v1.11 @ DB-SERVER, memory use: 11.9 MB
10/15/09 11:23:03 v1.11 @ DB-SERVER, lanczos halted after 1032 iterations (dim = 65138)
10/15/09 11:23:03 v1.11 @ DB-SERVER, recovered 16 nontrivial dependencies
10/15/09 11:23:05 v1.11 @ DB-SERVER, prp45 = 388037870916555061008960738628118331241660151
10/15/09 11:23:06 v1.11 @ DB-SERVER, prp47 = 11706663046031675214351099687927177731673630683
10/15/09 11:23:06 v1.11 @ DB-SERVER, Lanczos elapsed time = 63.3600 seconds.
10/15/09 11:23:06 v1.11 @ DB-SERVER, Sqrt elapsed time = 2.7500 seconds.
10/15/09 11:23:06 v1.11 @ DB-SERVER, SIQS elapsed time = 1202.7344 seconds.
software ソフトウェア
YAFU v1.11/SIQS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 15, 2009 07:00:00 UTC 2009 年 10 月 15 日 (木) 16 時 0 分 0 秒 (日本時間)

59×10135+139

c109

name 名前Jo Yeong Uk
date 日付October 15, 2009 15:58:20 UTC 2009 年 10 月 16 日 (金) 0 時 58 分 20 秒 (日本時間)
composite number 合成数
2051719448696623396197945795300720223247072182095324565313553803658214982417215832376273813292701449764308691<109>
prime factors 素因数
1069870404942196780013630862628023931905624513873353<52>
1917727080979938123004390143694320794532808882295629538747<58>
factorization results 素因数分解の結果
Number: 65557_135
N=2051719448696623396197945795300720223247072182095324565313553803658214982417215832376273813292701449764308691
  ( 109 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=1069870404942196780013630862628023931905624513873353
 r2=1917727080979938123004390143694320794532808882295629538747
Version: 
Total time: 1.88 hours.
Scaled time: 4.47 units (timescale=2.383).
Factorization parameters were as follows:
n: 2051719448696623396197945795300720223247072182095324565313553803658214982417215832376273813292701449764308691
m: 1000000000000000000000000000
deg: 5
c5: 59
c0: 13
skew: 0.74
type: snfs
lss: 1
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [650000, 1100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3148405
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 198946 x 199194
Total sieving time: 1.61 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,48,48,2.3,2.3,50000
total time: 1.88 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=2673798)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672348)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343)
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 KamadaOctober 15, 2009 07:00:00 UTC 2009 年 10 月 15 日 (木) 16 時 0 分 0 秒 (日本時間)

59×10138+139

c137

name 名前Dmitry Domanov
date 日付October 16, 2009 00:08:10 UTC 2009 年 10 月 16 日 (金) 9 時 8 分 10 秒 (日本時間)
composite number 合成数
89802130898021308980213089802130898021308980213089802130898021308980213089802130898021308980213089802130898021308980213089802130898021309<137>
prime factors 素因数
37063799104643516016870773501344256457436258106731212535903<59>
2422906800365494708429142047443049503908526352762410639292675584284260956111203<79>
factorization results 素因数分解の結果
Number: snfs137
N=89802130898021308980213089802130898021308980213089802130898021308980213089802130898021308980213089802130898021308980213089802130898021309
  ( 137 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=37063799104643516016870773501344256457436258106731212535903 (pp59)
 r2=2422906800365494708429142047443049503908526352762410639292675584284260956111203 (pp79)
Version: Msieve-1.40
Total time: 5.39 hours.
Scaled time: 10.61 units (timescale=1.969).
Factorization parameters were as follows:
n: 89802130898021308980213089802130898021308980213089802130898021308980213089802130898021308980213089802130898021308980213089802130898021309
m: 5000000000000000000000000000
deg: 5
c5: 472
c0: 325
skew: 0.93
type: snfs
lss: 1
rlim: 1580000
alim: 1580000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1580000/1580000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [790000, 1790001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 244216 x 244441
Total sieving time: 5.14 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1580000,1580000,26,26,48,48,2.3,2.3,100000
total time: 5.39 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 KamadaOctober 15, 2009 07:00:00 UTC 2009 年 10 月 15 日 (木) 16 時 0 分 0 秒 (日本時間)

59×10139+139

c126

name 名前Jo Yeong Uk
date 日付October 15, 2009 14:25:17 UTC 2009 年 10 月 15 日 (木) 23 時 25 分 17 秒 (日本時間)
composite number 合成数
325249596428205052553125481768616288985949223457346887364028093674830338705476019372238692494311489163742306574802414950188331<126>
prime factors 素因数
88640247102350796577040881684578110160059<41>
3669321860674046149889305251133408005163302741051006855356289605523585561498123504209<85>
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 325249596428205052553125481768616288985949223457346887364028093674830338705476019372238692494311489163742306574802414950188331 (126 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1397171321
Step 1 took 4196ms
Step 2 took 4087ms
********** Factor found in step 2: 88640247102350796577040881684578110160059
Found probable prime factor of 41 digits: 88640247102350796577040881684578110160059
Probable prime cofactor 3669321860674046149889305251133408005163302741051006855356289605523585561498123504209 has 85 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 KamadaOctober 15, 2009 07:00:00 UTC 2009 年 10 月 15 日 (木) 16 時 0 分 0 秒 (日本時間)

59×10142+139

c103

name 名前Jo Yeong Uk
date 日付October 15, 2009 23:13:13 UTC 2009 年 10 月 16 日 (金) 8 時 13 分 13 秒 (日本時間)
composite number 合成数
2655708987794033222006395738022718318106965876613728083162673950146053935377047128704039001596840031321<103>
prime factors 素因数
6703894625173431679040967401885793269992102259<46>
396144202180882171589894416421744649266280406656475887619<57>
factorization results 素因数分解の結果
Number: 65557_142
N=2655708987794033222006395738022718318106965876613728083162673950146053935377047128704039001596840031321
  ( 103 digits)
Divisors found:
 r1=6703894625173431679040967401885793269992102259
 r2=396144202180882171589894416421744649266280406656475887619
Version: 
Total time: 3.81 hours.
Scaled time: 9.04 units (timescale=2.373).
Factorization parameters were as follows:
name: 65557_142
n: 2655708987794033222006395738022718318106965876613728083162673950146053935377047128704039001596840031321
skew: 3751.30
# norm 3.50e+13
c5: 78660
c4: -1283237721
c3: -3748094967622
c2: 14675610712833839
c1: 18454912549082743215
c0: -37744419676925558612862
# alpha -4.56
Y1: 84744210287
Y0: -32039745393925761293
# Murphy_E 2.48e-09
# M 2531415688351974972911924921557373481077501563677208680072258910721872535231990746324431917159123062258
type: gnfs
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 50/50
Sieved algebraic special-q in [750000, 1400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4809031
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 252586 x 252833
Polynomial selection time: 0.25 hours.
Total sieving time: 3.02 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,26,26,50,50,2.6,2.6,50000
total time: 3.81 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=2673798)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672348)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343)
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 KamadaOctober 15, 2009 07:00:00 UTC 2009 年 10 月 15 日 (木) 16 時 0 分 0 秒 (日本時間)

59×10143+139

c142

name 名前Dmitry Domanov
date 日付October 17, 2009 08:05:44 UTC 2009 年 10 月 17 日 (土) 17 時 5 分 44 秒 (日本時間)
composite number 合成数
1357257878997009431792040487692661605705083965953531170922475270301357257878997009431792040487692661605705083965953531170922475270301357257879<142>
prime factors 素因数
56824861300809670417610968582565253327225489040825124747375566909<65>
23884930784295121718305209081680340072427488597788659427641111525802353279331<77>
factorization results 素因数分解の結果
Number: snfs142
N=1357257878997009431792040487692661605705083965953531170922475270301357257878997009431792040487692661605705083965953531170922475270301357257879
  ( 142 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=56824861300809670417610968582565253327225489040825124747375566909 (pp65)
 r2=23884930784295121718305209081680340072427488597788659427641111525802353279331 (pp77)
Version: Msieve-1.40
Total time: 8.41 hours.
Scaled time: 16.46 units (timescale=1.957).
Factorization parameters were as follows:
n: 1357257878997009431792040487692661605705083965953531170922475270301357257878997009431792040487692661605705083965953531170922475270301357257879
m: 50000000000000000000000000000
deg: 5
c5: 472
c0: 325
skew: 0.93
type: snfs
lss: 1
rlim: 1910000
alim: 1910000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1910000/1910000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [955000, 2455001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 287686 x 287915
Total sieving time: 8.12 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1910000,1910000,26,26,49,49,2.3,2.3,100000
total time: 8.41 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 KamadaOctober 15, 2009 07:00:00 UTC 2009 年 10 月 15 日 (木) 16 時 0 分 0 秒 (日本時間)

59×10148+139

c143

name 名前Dmitry Domanov
date 日付October 15, 2009 12:35:15 UTC 2009 年 10 月 15 日 (木) 21 時 35 分 15 秒 (日本時間)
composite number 合成数
41162676782359602307147103476620611212727108964512400535449680964836399638800999597233672771928840475999612931303748252417627030287985947201681<143>
prime factors 素因数
3076164667088108516745389482013017<34>
13381168187372788462574554082701315063843264662751447519557625636265408132014611579978744571007801716168358393<110>
factorization results 素因数分解の結果
C143=P34*P110
P34=3076164667088108516745389482013017
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 15, 2009 07:00:00 UTC 2009 年 10 月 15 日 (木) 16 時 0 分 0 秒 (日本時間)

59×10149+139

c113

name 名前Jo Yeong Uk
date 日付October 15, 2009 15:28:59 UTC 2009 年 10 月 16 日 (金) 0 時 28 分 59 秒 (日本時間)
composite number 合成数
30299819983006104728482599785278540686702021001078729957142502737791357700632490766461943016847001905472398522809<113>
prime factors 素因数
147943116229641901909832786463660049913<39>
204807231016911815436363214460668291459094734809973992870141049693597139393<75>
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 30299819983006104728482599785278540686702021001078729957142502737791357700632490766461943016847001905472398522809 (113 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=6964078966
Step 1 took 3463ms
Step 2 took 3759ms
********** Factor found in step 2: 147943116229641901909832786463660049913
Found probable prime factor of 39 digits: 147943116229641901909832786463660049913
Probable prime cofactor 204807231016911815436363214460668291459094734809973992870141049693597139393 has 75 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 KamadaOctober 15, 2009 07:00:00 UTC 2009 年 10 月 15 日 (木) 16 時 0 分 0 秒 (日本時間)

59×10150+139

c131

name 名前Jo Yeong Uk
date 日付October 16, 2009 05:48:11 UTC 2009 年 10 月 16 日 (金) 14 時 48 分 11 秒 (日本時間)
composite number 合成数
66011104838922169386588454921857859398757669838483669807968869166926747641548905738955030158002277581277821586625150229314953678347<131>
prime factors 素因数
429592179251930619925076023414555204538013859122257<51>
153659931504969338803760692827314585527035777416990495872633452162987819002153371<81>
factorization results 素因数分解の結果
Number: 65557_150
N=66011104838922169386588454921857859398757669838483669807968869166926747641548905738955030158002277581277821586625150229314953678347
  ( 131 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=429592179251930619925076023414555204538013859122257
 r2=153659931504969338803760692827314585527035777416990495872633452162987819002153371
Version: 
Total time: 6.36 hours.
Scaled time: 15.20 units (timescale=2.391).
Factorization parameters were as follows:
n: 66011104838922169386588454921857859398757669838483669807968869166926747641548905738955030158002277581277821586625150229314953678347
m: 1000000000000000000000000000000
deg: 5
c5: 59
c0: 13
skew: 0.74
type: snfs
lss: 1
rlim: 1800000
alim: 1800000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [900000, 1500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 6668876
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 335862 x 336110
Total sieving time: 5.82 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 0.25 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,1800000,1800000,27,27,49,49,2.4,2.4,100000
total time: 6.36 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=2673798)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672348)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343)
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
351e6968118Makoto KamadaOctober 15, 2009 07:00:00 UTC 2009 年 10 月 15 日 (木) 16 時 0 分 0 秒 (日本時間)
850Lionel DebrouxOctober 15, 2009 19:02:25 UTC 2009 年 10 月 16 日 (金) 4 時 2 分 25 秒 (日本時間)

59×10152+139

c119

name 名前Jo Yeong Uk
date 日付November 8, 2009 15:43:31 UTC 2009 年 11 月 9 日 (月) 0 時 43 分 31 秒 (日本時間)
composite number 合成数
76655122826556645524074443634510586228441763475339929480344042662902252605878456624030665388478094256481641219110940117<119>
prime factors 素因数
59178572867084914379468698280517827432559633138291908257<56>
1295318881695982523785877985646207549117537913160065454433420981<64>
factorization results 素因数分解の結果
Number: 65557_152
N=76655122826556645524074443634510586228441763475339929480344042662902252605878456624030665388478094256481641219110940117
  ( 119 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=59178572867084914379468698280517827432559633138291908257
 r2=1295318881695982523785877985646207549117537913160065454433420981
Version: 
Total time: 13.11 hours.
Scaled time: 30.41 units (timescale=2.319).
Factorization parameters were as follows:
n: 76655122826556645524074443634510586228441763475339929480344042662902252605878456624030665388478094256481641219110940117
m: 1000000000000000000000000000000
deg: 5
c5: 5900
c0: 13
skew: 0.29
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 2400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8453288
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 459884 x 460132
Total sieving time: 11.78 hours.
Total relation processing time: 0.50 hours.
Matrix solve time: 0.46 hours.
Time per square root: 0.38 hours.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 13.11 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.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
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 KamadaOctober 25, 2009 05:00:00 UTC 2009 年 10 月 25 日 (日) 14 時 0 分 0 秒 (日本時間)

59×10153+139

c148

name 名前Jo Yeong Uk
date 日付October 25, 2009 14:16:59 UTC 2009 年 10 月 25 日 (日) 23 時 16 分 59 秒 (日本時間)
composite number 合成数
7447032351296963794422021303813801976341409324366096615273307980605908223025744390838433603837316927647284313432212252034333595998999825688954624727<148>
prime factors 素因数
448464904859558179943943527591218691<36>
composite cofactor 合成数の残り
16605607864965677941097681100617903499359254644723048816511846628405008244182350794304630346346316241452961808797<113>
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 7447032351296963794422021303813801976341409324366096615273307980605908223025744390838433603837316927647284313432212252034333595998999825688954624727 (148 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3255258886
Step 1 took 4664ms
Step 2 took 4586ms
********** Factor found in step 2: 448464904859558179943943527591218691
Found probable prime factor of 36 digits: 448464904859558179943943527591218691
Composite cofactor 16605607864965677941097681100617903499359254644723048816511846628405008244182350794304630346346316241452961808797 has 113 digits
execution environment 実行環境
Core 2 Quad Q6600

c113

name 名前Jo Yeong Uk
date 日付October 27, 2009 23:07:34 UTC 2009 年 10 月 28 日 (水) 8 時 7 分 34 秒 (日本時間)
composite number 合成数
16605607864965677941097681100617903499359254644723048816511846628405008244182350794304630346346316241452961808797<113>
prime factors 素因数
1945389686705257859216885747713751<34>
8535877402069090294321958359979736349858550365095150663138218416934201553637547<79>
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 16605607864965677941097681100617903499359254644723048816511846628405008244182350794304630346346316241452961808797 (113 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2517939697
Step 1 took 3448ms
Step 2 took 3775ms
********** Factor found in step 2: 1945389686705257859216885747713751
Found probable prime factor of 34 digits: 1945389686705257859216885747713751
Probable prime cofactor 8535877402069090294321958359979736349858550365095150663138218416934201553637547 has 79 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 KamadaOctober 25, 2009 05:00:00 UTC 2009 年 10 月 25 日 (日) 14 時 0 分 0 秒 (日本時間)

59×10155+139

c151

name 名前Erik Branger
date 日付November 9, 2009 09:21:19 UTC 2009 年 11 月 9 日 (月) 18 時 21 分 19 秒 (日本時間)
composite number 合成数
1546847590155652194203306635792637477390462871856261678371583728107190770091518320050107374818736991077311180378421843165909366791384530842436793578957<151>
prime factors 素因数
3250014503184800505033627409506459859<37>
475950980723268548624810965719672919720034989274501070593621650713069860521169953430677781461307623085322624985823<114>
factorization results 素因数分解の結果
Number: 65557_155
N=1546847590155652194203306635792637477390462871856261678371583728107190770091518320050107374818736991077311180378421843165909366791384530842436793578957
  ( 151 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=3250014503184800505033627409506459859 (pp37)
 r2=475950980723268548624810965719672919720034989274501070593621650713069860521169953430677781461307623085322624985823 (pp114)
Version: Msieve v. 1.43
Total time: 19.02 hours.
Scaled time: 19.44 units (timescale=1.022).
Factorization parameters were as follows:
n: 1546847590155652194203306635792637477390462871856261678371583728107190770091518320050107374818736991077311180378421843165909366791384530842436793578957
m: 10000000000000000000000000000000
deg: 5
c5: 59
c0: 13
skew: 0.74
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 456331 x 456559
Total sieving time: 18.33 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.47 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 19.02 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
351e6918118Makoto KamadaOctober 25, 2009 05:00:00 UTC 2009 年 10 月 25 日 (日) 14 時 0 分 0 秒 (日本時間)
800Erik BrangerNovember 8, 2009 17:23:08 UTC 2009 年 11 月 9 日 (月) 2 時 23 分 8 秒 (日本時間)

59×10158+139

c115

name 名前juno1369
date 日付November 24, 2009 22:44:44 UTC 2009 年 11 月 25 日 (水) 7 時 44 分 44 秒 (日本時間)
composite number 合成数
1184757608092487696170391430243869413380802127236760558980338273963673759934198230309328392158570735920383064148731<115>
prime factors 素因数
714946817551994226795999183397417<33>
18512159506965237722555703148040570906717<41>
89515591408513589807357573543702422736479<41>
factorization results 素因数分解の結果
********** Factor found in step 2: 714946817551994226795999183397417
Found probable prime factor of 33 digits: 714946817551994226795999183397417
Composite cofactor 1657126906514730606466839738594265639188592255458992054267231
172851540589382029443 has 82 digits

From Alpertron ECM (http://www.alpertron.com.ar/ECM.HTM)

Factors found for 1657126906514730606466839738594265639188592255458992054267231
172851540589382029443 (82 digits):

prp41: 18512159506965237722555703148040570906717 
prp41: 89515591408513589807357573543702422736479 
software ソフトウェア
GMP-ECM + Alpertron ECM (http://www.alpertron.com.ar/ECM.HTM)
execution environment 実行環境
Java Environment v1.6

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 25, 2009 05:00:00 UTC 2009 年 10 月 25 日 (日) 14 時 0 分 0 秒 (日本時間)

59×10160+139

c151

name 名前Dmitry Domanov
date 日付November 15, 2009 20:56:05 UTC 2009 年 11 月 16 日 (月) 5 時 56 分 5 秒 (日本時間)
composite number 合成数
2735730997195124102012431130315542645538784010106985048370417728523108614122498641061319159171101423248972776136570302361644318198903522689622662019197<151>
prime factors 素因数
68865197719831614457352449825567313491<38>
39725886046607481763744275688874905087926689678309758721166697739496395380193756474563848842063050364299554448367<113>
factorization results 素因数分解の結果
N=2735730997195124102012431130315542645538784010106985048370417728523108614122498641061319159171101423248972776136570302361644318198903522689622662019197
  ( 151 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=68865197719831614457352449825567313491 (pp38)
 r2=39725886046607481763744275688874905087926689678309758721166697739496395380193756474563848842063050364299554448367 (pp113)
Version: Msieve-1.40
Total time: 22.07 hours.
Scaled time: 40.59 units (timescale=1.839).
Factorization parameters were as follows:
n: 2735730997195124102012431130315542645538784010106985048370417728523108614122498641061319159171101423248972776136570302361644318198903522689622662019197
m: 100000000000000000000000000000000
deg: 5
c5: 59
c0: 13
skew: 0.74
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 2950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 582651 x 582876
Total sieving time: 21.30 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.43 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 22.07 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 KamadaOctober 25, 2009 05:00:00 UTC 2009 年 10 月 25 日 (日) 14 時 0 分 0 秒 (日本時間)

59×10161+139

c133

name 名前Jo Yeong Uk
date 日付November 21, 2009 13:28:53 UTC 2009 年 11 月 21 日 (土) 22 時 28 分 53 秒 (日本時間)
composite number 合成数
1470089729816550615327746631666522054342149372565640256703912340728756124298045838952847268330437311459786713438678509201299203660991<133>
prime factors 素因数
5709310195720236828643845210386126013088462671987029<52>
257489903231838133471085108012293074391834736416021232004557239035900683554813379<81>
factorization results 素因数分解の結果
Number: 65557_161
N=1470089729816550615327746631666522054342149372565640256703912340728756124298045838952847268330437311459786713438678509201299203660991
  ( 133 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=5709310195720236828643845210386126013088462671987029
 r2=257489903231838133471085108012293074391834736416021232004557239035900683554813379
Version: 
Total time: 23.22 hours.
Scaled time: 54.90 units (timescale=2.365).
Factorization parameters were as follows:
n: 1470089729816550615327746631666522054342149372565640256703912340728756124298045838952847268330437311459786713438678509201299203660991
m: 100000000000000000000000000000000
deg: 5
c5: 590
c0: 13
skew: 0.47
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 3900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9714777
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 739625 x 739873
Total sieving time: 20.93 hours.
Total relation processing time: 0.95 hours.
Matrix solve time: 1.24 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 23.22 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.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672338)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672382)
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 KamadaOctober 25, 2009 05:00:00 UTC 2009 年 10 月 25 日 (日) 14 時 0 分 0 秒 (日本時間)

59×10162+139

c89

name 名前Sinkiti Sibata
date 日付October 25, 2009 09:12:14 UTC 2009 年 10 月 25 日 (日) 18 時 12 分 14 秒 (日本時間)
composite number 合成数
78333968362300416510181956690557714648145208117374814352621832119111721264997885503423613<89>
prime factors 素因数
69516819691144244489845582123<29>
1126834753234250582167665892728317395683413561745942050448631<61>
factorization results 素因数分解の結果
Sun Oct 25 15:43:55 2009  Msieve v. 1.42
Sun Oct 25 15:43:55 2009  random seeds: eca55479 eedbe34a
Sun Oct 25 15:43:55 2009  factoring 78333968362300416510181956690557714648145208117374814352621832119111721264997885503423613 (89 digits)
Sun Oct 25 15:43:56 2009  no P-1/P+1/ECM available, skipping
Sun Oct 25 15:43:56 2009  commencing quadratic sieve (89-digit input)
Sun Oct 25 15:43:56 2009  using multiplier of 1
Sun Oct 25 15:43:56 2009  using 64kb Pentium 4 sieve core
Sun Oct 25 15:43:56 2009  sieve interval: 17 blocks of size 65536
Sun Oct 25 15:43:56 2009  processing polynomials in batches of 6
Sun Oct 25 15:43:56 2009  using a sieve bound of 1565017 (59333 primes)
Sun Oct 25 15:43:56 2009  using large prime bound of 125201360 (26 bits)
Sun Oct 25 15:43:56 2009  using double large prime bound of 376440425084800 (42-49 bits)
Sun Oct 25 15:43:56 2009  using trial factoring cutoff of 49 bits
Sun Oct 25 15:43:56 2009  polynomial 'A' values have 11 factors
Sun Oct 25 17:47:06 2009  59646 relations (15545 full + 44101 combined from 638233 partial), need 59429
Sun Oct 25 17:47:08 2009  begin with 653778 relations
Sun Oct 25 17:47:09 2009  reduce to 147069 relations in 10 passes
Sun Oct 25 17:47:09 2009  attempting to read 147069 relations
Sun Oct 25 17:47:12 2009  recovered 147069 relations
Sun Oct 25 17:47:12 2009  recovered 125914 polynomials
Sun Oct 25 17:47:13 2009  attempting to build 59646 cycles
Sun Oct 25 17:47:13 2009  found 59646 cycles in 5 passes
Sun Oct 25 17:47:13 2009  distribution of cycle lengths:
Sun Oct 25 17:47:13 2009     length 1 : 15545
Sun Oct 25 17:47:13 2009     length 2 : 11194
Sun Oct 25 17:47:13 2009     length 3 : 10420
Sun Oct 25 17:47:13 2009     length 4 : 8120
Sun Oct 25 17:47:13 2009     length 5 : 5800
Sun Oct 25 17:47:13 2009     length 6 : 3610
Sun Oct 25 17:47:13 2009     length 7 : 2239
Sun Oct 25 17:47:13 2009     length 9+: 2718
Sun Oct 25 17:47:13 2009  largest cycle: 18 relations
Sun Oct 25 17:47:13 2009  matrix is 59333 x 59646 (14.8 MB) with weight 3630587 (60.87/col)
Sun Oct 25 17:47:13 2009  sparse part has weight 3630587 (60.87/col)
Sun Oct 25 17:47:14 2009  filtering completed in 3 passes
Sun Oct 25 17:47:14 2009  matrix is 55723 x 55787 (13.9 MB) with weight 3413972 (61.20/col)
Sun Oct 25 17:47:15 2009  sparse part has weight 3413972 (61.20/col)
Sun Oct 25 17:47:15 2009  saving the first 48 matrix rows for later
Sun Oct 25 17:47:15 2009  matrix is 55675 x 55787 (10.3 MB) with weight 2849057 (51.07/col)
Sun Oct 25 17:47:15 2009  sparse part has weight 2368968 (42.46/col)
Sun Oct 25 17:47:15 2009  matrix includes 64 packed rows
Sun Oct 25 17:47:15 2009  using block size 21845 for processor cache size 512 kB
Sun Oct 25 17:47:15 2009  commencing Lanczos iteration
Sun Oct 25 17:47:15 2009  memory use: 9.7 MB
Sun Oct 25 17:47:48 2009  lanczos halted after 881 iterations (dim = 55671)
Sun Oct 25 17:47:48 2009  recovered 14 nontrivial dependencies
Sun Oct 25 17:47:51 2009  prp29 factor: 69516819691144244489845582123
Sun Oct 25 17:47:51 2009  prp61 factor: 1126834753234250582167665892728317395683413561745942050448631
Sun Oct 25 17:47:51 2009  elapsed time 02:03:56

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 25, 2009 05:00:00 UTC 2009 年 10 月 25 日 (日) 14 時 0 分 0 秒 (日本時間)

59×10164+139

c159

name 名前Dmitry Domanov
date 日付November 16, 2009 16:22:51 UTC 2009 年 11 月 17 日 (火) 1 時 22 分 51 秒 (日本時間)
composite number 合成数
846351000695298864469510778997240465389766870465118647651598319519880856730993646199173932733456957959163707665773981534916353983006706399259916257154714253971<159>
prime factors 素因数
172494834689383932407753106094143525376103225653<48>
4906529533010920434450031087476390453047270898213110900861533572593100963811674429717024242278907331943447184807<112>
factorization results 素因数分解の結果
N=846351000695298864469510778997240465389766870465118647651598319519880856730993646199173932733456957959163707665773981534916353983006706399259916257154714253971
  ( 159 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=172494834689383932407753106094143525376103225653 (pp48)
 r2=4906529533010920434450031087476390453047270898213110900861533572593100963811674429717024242278907331943447184807 (pp112)
Version: Msieve-1.40
Total time: 42.70 hours.
Scaled time: 78.56 units (timescale=1.840).
Factorization parameters were as follows:
n: 846351000695298864469510778997240465389766870465118647651598319519880856730993646199173932733456957959163707665773981534916353983006706399259916257154714253971
m: 1000000000000000000000000000000000
deg: 5
c5: 59
c0: 130
skew: 1.17
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 705092 x 705317
Total sieving time: 41.83 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.64 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 42.70 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 KamadaOctober 25, 2009 05:00:00 UTC 2009 年 10 月 25 日 (日) 14 時 0 分 0 秒 (日本時間)

59×10165+139

c164

name 名前Dmitry Domanov
date 日付October 27, 2009 17:58:43 UTC 2009 年 10 月 28 日 (水) 2 時 58 分 43 秒 (日本時間)
composite number 合成数
12392354547363999159840369670237345095568157950010501995379122033186305398025624868725057760974585171182524679689140936777987817685360218441503885738290275152278933<164>
prime factors 素因数
110196508485120959229584433888099581893885727408622561715778078112344496125474827<81>
112456871072618870945836117361013701928460846350502379302614333335364545406654278879<84>
factorization results 素因数分解の結果
Number: 164-2
N=12392354547363999159840369670237345095568157950010501995379122033186305398025624868725057760974585171182524679689140936777987817685360218441503885738290275152278933
  ( 164 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=110196508485120959229584433888099581893885727408622561715778078112344496125474827 (pp81)
 r2=112456871072618870945836117361013701928460846350502379302614333335364545406654278879 (pp84)
Version: Msieve-1.40
Total time: 30.84 hours.
Scaled time: 58.75 units (timescale=1.905).
Factorization parameters were as follows:
n: 12392354547363999159840369670237345095568157950010501995379122033186305398025624868725057760974585171182524679689140936777987817685360218441503885738290275152278933
m: 1000000000000000000000000000000000
deg: 5
c5: 59
c0: 13
skew: 0.74
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 3800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 716975 x 717202
Total sieving time: 30.05 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.63 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 30.84 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 25, 2009 05:00:00 UTC 2009 年 10 月 25 日 (日) 14 時 0 分 0 秒 (日本時間)

59×10166+139

c164

name 名前Dmitry Domanov
date 日付October 27, 2009 17:57:54 UTC 2009 年 10 月 28 日 (水) 2 時 57 分 54 秒 (日本時間)
composite number 合成数
57555360452638766949565896010145351673007511462296361330601892498292849478099697590478977660716027704614183982050531655448248951321822261242805579943420154131304263<164>
prime factors 素因数
1520300600803178723554489839762734450050310979284651413036412657<64>
37857881804580042766073071926977642450283485731120277261311868008262073402242471720348178440977797559<101>
factorization results 素因数分解の結果
Number: 164-1
N=57555360452638766949565896010145351673007511462296361330601892498292849478099697590478977660716027704614183982050531655448248951321822261242805579943420154131304263
  ( 164 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=1520300600803178723554489839762734450050310979284651413036412657 (pp64)
 r2=37857881804580042766073071926977642450283485731120277261311868008262073402242471720348178440977797559 (pp101)
Version: Msieve-1.40
Total time: 54.33 hours.
Scaled time: 101.39 units (timescale=1.866).
Factorization parameters were as follows:
n: 57555360452638766949565896010145351673007511462296361330601892498292849478099697590478977660716027704614183982050531655448248951321822261242805579943420154131304263
m: 2000000000000000000000000000000000
deg: 5
c5: 295
c0: 208
skew: 0.93
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2300000, 5400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 963749 x 963974
Total sieving time: 52.94 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.17 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,168.000,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 54.33 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 KamadaOctober 25, 2009 05:00:00 UTC 2009 年 10 月 25 日 (日) 14 時 0 分 0 秒 (日本時間)

59×10169+139

c163

name 名前Ignacio Santos
date 日付November 3, 2009 12:55:58 UTC 2009 年 11 月 3 日 (火) 21 時 55 分 58 秒 (日本時間)
composite number 合成数
4810421649682576174188661850847560828005974804593130827137897528251259835161852058319497459979146740616055698681906147678917334868885149968278530523156754250665903<163>
prime factors 素因数
48178106573504420424833109041979951647<38>
99846631422582109990143221984485218923595671756459611686870528046668598368786968287093778636678542799792559888673331323201649<125>
factorization results 素因数分解の結果
Number: 65557_169
N=4810421649682576174188661850847560828005974804593130827137897528251259835161852058319497459979146740616055698681906147678917334868885149968278530523156754250665903
  ( 163 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=48178106573504420424833109041979951647 (pp38)
 r2=99846631422582109990143221984485218923595671756459611686870528046668598368786968287093778636678542799792559888673331323201649 (pp125)
Version: Msieve-1.40
Total time: 62.49 hours.
Scaled time: 108.68 units (timescale=1.739).
Factorization parameters were as follows:
n: 4810421649682576174188661850847560828005974804593130827137897528251259835161852058319497459979146740616055698681906147678917334868885149968278530523156754250665903
m: 10000000000000000000000000000000000
deg: 5
c5: 59
c0: 130
skew: 1.17
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 5850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 990440 x 990665
Total sieving time: 60.96 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.26 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 62.49 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
3025e40--
351e6118 / 904Makoto KamadaOctober 25, 2009 05:00:00 UTC 2009 年 10 月 25 日 (日) 14 時 0 分 0 秒 (日本時間)

59×10170+139

c157

name 名前Wataru Sakai
date 日付November 19, 2009 12:24:20 UTC 2009 年 11 月 19 日 (木) 21 時 24 分 20 秒 (日本時間)
composite number 合成数
1307409201438740487043697313570864149405226988102577607376166625870681239619764813704321370377669015799482719191379598111051587535674452822548592414750647741<157>
prime factors 素因数
233155008560892980603136314014073<33>
composite cofactor 合成数の残り
5607467793672916357063206022743587336819544589797022881608229298842144002627748832647796629860992889557912488547520943964517<124>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3871599622
Step 1 took 52361ms
Step 2 took 17180ms
********** Factor found in step 2: 233155008560892980603136314014073
Found probable prime factor of 33 digits: 233155008560892980603136314014073
Composite cofactor 5607467793672916357063206022743587336819544589797022881608229298842144002627748832647796629860992889557912488547520943964517 has 124 digits
software ソフトウェア
GMP-ECM 6.2.1

c124

name 名前yoshida
date 日付December 10, 2009 02:00:42 UTC 2009 年 12 月 10 日 (木) 11 時 0 分 42 秒 (日本時間)
composite number 合成数
5607467793672916357063206022743587336819544589797022881608229298842144002627748832647796629860992889557912488547520943964517<124>
prime factors 素因数
60584128360032301920436560271643813086991257<44>
92556713209596906998848833423411539743687317470367214287086444809227713384971181<80>
factorization results 素因数分解の結果
N=5607467793672916357063206022743587336819544589797022881608229298842144002627748832647796629860992889557912488547520943964517
  ( 124 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=60584128360032301920436560271643813086991257 (pp44)
 r2=92556713209596906998848833423411539743687317470367214287086444809227713384971181 (pp80)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 257.03 hours.
Scaled time: 594.77 units (timescale=2.314).
Factorization parameters were as follows:
n: 5607467793672916357063206022743587336819544589797022881608229298842144002627748832647796629860992889557912488547520943964517
m: 10000000000000000000000000000000000
deg: 5
c5: 59
c0: 13
skew: 0.74
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3000000, 9500001)
Primes: RFBsize:412849, AFBsize:413701, largePrimes:7914450 encountered
Relations: rels:9994565, finalFF:2581166
Max relations in full relation-set: 32
Initial matrix: 826617 x 2581166 with sparse part having weight 203256814.
Pruned matrix : 465392 x 469589 with weight 138232198.
Total sieving time: 253.71 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 3.07 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000
total time: 257.03 hours.
 --------- CPU info (if available) ----------
Intel(R) Xeon(R) CPU           E5450  @ 3.00GHz stepping 0a
Intel(R) Xeon(R) CPU           E5450  @ 3.00GHz stepping 0a
Intel(R) Xeon(R) CPU           E5450  @ 3.00GHz stepping 0a
Intel(R) Xeon(R) CPU           E5450  @ 3.00GHz stepping 0a
Intel(R) Xeon(R) CPU           E5450  @ 3.00GHz stepping 0a
Intel(R) Xeon(R) CPU           E5450  @ 3.00GHz stepping 0a
Intel(R) Xeon(R) CPU           E5450  @ 3.00GHz stepping 0a
Memory for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 32944636k/35127296k available (2460k kernel code, 603560k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5988.95 BogoMIPS (lpj=2994477)
Calibrating delay using timer specific routine.. 5985.01 BogoMIPS (lpj=2992505)
Calibrating delay using timer specific routine.. 5984.97 BogoMIPS (lpj=2992487)
Calibrating delay using timer specific routine.. 5985.05 BogoMIPS (lpj=2992527)
Calibrating delay using timer specific routine.. 5985.21 BogoMIPS (lpj=2992605)
Calibrating delay using timer specific routine.. 5985.02 BogoMIPS (lpj=2992513)
Calibrating delay using timer specific routine.. 5985.05 BogoMIPS (lpj=2992529)
Calibrating delay using timer specific routine.. 5985.00 BogoMIPS (lpj=2992504)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 25, 2009 05:00:00 UTC 2009 年 10 月 25 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiNovember 19, 2009 12:24:02 UTC 2009 年 11 月 19 日 (木) 21 時 24 分 2 秒 (日本時間)

59×10171+139

c160

name 名前Dmitry Domanov
date 日付January 2, 2010 14:54:39 UTC 2010 年 1 月 2 日 (土) 23 時 54 分 39 秒 (日本時間)
composite number 合成数
4601600709328353777066827806433513086033534174282115633732467931707897693721325922639660578553214425756880932860183693674578279907956064014392760209836926926121<160>
prime factors 素因数
2232941961230183898698948009323649210326509013222224183311599821022733<70>
2060779361588608504481426060692138770041928666295388151802326010558917647701760675361745037<91>
factorization results 素因数分解の結果
N=4601600709328353777066827806433513086033534174282115633732467931707897693721325922639660578553214425756880932860183693674578279907956064014392760209836926926121
  ( 160 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=2232941961230183898698948009323649210326509013222224183311599821022733 (pp70)
 r2=2060779361588608504481426060692138770041928666295388151802326010558917647701760675361745037 (pp91)
Version: Msieve-1.40
Total time: 111.37 hours.
Scaled time: 104.02 units (timescale=0.934).
Factorization parameters were as follows:
n: 4601600709328353777066827806433513086033534174282115633732467931707897693721325922639660578553214425756880932860183693674578279907956064014392760209836926926121
m: 10000000000000000000000000000000000
deg: 5
c5: 590
c0: 13
skew: 0.47
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 7050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1169759 x 1170007
Total sieving time: 108.43 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 2.56 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 111.37 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 KamadaOctober 25, 2009 05:00:00 UTC 2009 年 10 月 25 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiNovember 21, 2009 03:03:16 UTC 2009 年 11 月 21 日 (土) 12 時 3 分 16 秒 (日本時間)
4511e60--
5043e61140 / 7465yoyo@homeFebruary 6, 2010 12:35:09 UTC 2010 年 2 月 6 日 (土) 21 時 35 分 9 秒 (日本時間)

59×10172+139

c131

name 名前Sinkiti Sibata
date 日付September 12, 2010 10:49:31 UTC 2010 年 9 月 12 日 (日) 19 時 49 分 31 秒 (日本時間)
composite number 合成数
17878911962145480853469271742008250996563657909709779347489743668294211649734368439115934033277499138173494148298755646269478310761<131>
prime factors 素因数
3144177111895198144322208834242119221417053386067358587<55>
5686356501516770015490686440477469444556937004351015919052249594402865905003<76>
factorization results 素因数分解の結果
Number: 65557_172
N=17878911962145480853469271742008250996563657909709779347489743668294211649734368439115934033277499138173494148298755646269478310761
  ( 131 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=3144177111895198144322208834242119221417053386067358587 (pp55)
 r2=5686356501516770015490686440477469444556937004351015919052249594402865905003 (pp76)
Version: Msieve-1.40
Total time: 103.94 hours.
Scaled time: 331.58 units (timescale=3.190).
Factorization parameters were as follows:
name: 65557_172
n: 17878911962145480853469271742008250996563657909709779347489743668294211649734368439115934033277499138173494148298755646269478310761
m: 10000000000000000000000000000000000
deg: 5
c5: 5900
c0: 13
skew: 0.29
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, 7850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1178703 x 1178951
Total sieving time: 100.71 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.76 hours.
Time per square root: 0.35 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: 103.94 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 25, 2009 05:00:00 UTC 2009 年 10 月 25 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiNovember 30, 2009 15:07:24 UTC 2009 年 12 月 1 日 (火) 0 時 7 分 24 秒 (日本時間)

59×10173+139

c145

name 名前Markus Tervooren
date 日付January 16, 2012 09:55:46 UTC 2012 年 1 月 16 日 (月) 18 時 55 分 46 秒 (日本時間)
composite number 合成数
9830144060133587759281093584447207970167200137752554496032902572668848605899581996153491212687477905578869167979519390956717442819656575255992377<145>
prime factors 素因数
3183481141316531308334781087850320844802263<43>
121557270042623646346223817244151484982231823623363<51>
25402511866308672393111447049427322400419593869980133<53>
factorization results 素因数分解の結果
Msieve v. 1.50 (SVN 656M)
Mon Jan 16 09:10:25 2012
random seeds: 348c7923 4e162b81
factoring 9830144060133587759281093584447207970167200137752554496032902572668848605899581996153491212687477905578869167979519390956717442819656575255992377 (145 digits)
searching for 15-digit factors
commencing number field sieve (145-digit input)
R0: -10000000000000000000000000000000000
R1: 1
A0: 13
A1: 0
A2: 0
A3: 0
A4: 0
A5: 59000
skew 0.19, size 1.859e-12, alpha 0.065, combined = 1.244e-10 rroots = 1

commencing relation filtering
estimated available RAM is 16079.7 MB
commencing duplicate removal, pass 1
error -15 reading relation 649378
error -11 reading relation 4410489
error -9 reading relation 5026883
error -15 reading relation 8254459
read 10M relations
error -11 reading relation 10213698
error -15 reading relation 12139566
error -11 reading relation 14026568
error -9 reading relation 15883115
error -15 reading relation 17714222
error -15 reading relation 19516185
read 20M relations
error -15 reading relation 21278485
error -11 reading relation 23011166
error -9 reading relation 23742068
error -9 reading relation 28134120
error -9 reading relation 28887394
read 30M relations
error -15 reading relation 32861808
error -15 reading relation 33600938
error -9 reading relation 37848904
error -15 reading relation 38533381
read 40M relations
skipped 2 relations with b > 2^32
found 5624497 hash collisions in 42522738 relations
added 731131 free relations
commencing duplicate removal, pass 2
found 4880686 duplicates and 38373183 unique relations
memory use: 197.2 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 689.0 MB
reading all ideals from disk
memory use: 1184.0 MB
keeping 25564049 ideals with weight <= 200, target excess is 210992
commencing in-memory singleton removal
begin with 38373182 relations and 25564049 unique ideals
reduce to 31355644 relations and 17982563 ideals in 8 passes
max relations containing the same ideal: 184
removing 5202347 relations and 3202347 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 26153297 relations and 17982563 unique ideals
reduce to 25727411 relations and 14321690 ideals in 6 passes
max relations containing the same ideal: 163
removing 4308063 relations and 2308063 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 21419348 relations and 14321690 unique ideals
reduce to 21184280 relations and 11763601 ideals in 6 passes
max relations containing the same ideal: 141
removing 4137786 relations and 2137786 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 17046494 relations and 11763601 unique ideals
reduce to 16929581 relations and 9503686 ideals in 5 passes
max relations containing the same ideal: 121
removing 2591768 relations and 1332636 ideals in 1259132 cliques
commencing in-memory singleton removal
begin with 14337813 relations and 9503686 unique ideals
reduce to 14283680 relations and 8115393 ideals in 4 passes
max relations containing the same ideal: 104
removing 1177889 relations and 608035 ideals in 569854 cliques
commencing in-memory singleton removal
begin with 13105791 relations and 8115393 unique ideals
reduce to 13075401 relations and 7476272 ideals in 4 passes
max relations containing the same ideal: 99
removing 866786 relations and 444693 ideals in 422093 cliques
commencing in-memory singleton removal
begin with 12208615 relations and 7476272 unique ideals
reduce to 12190298 relations and 7012950 ideals in 4 passes
max relations containing the same ideal: 94
removing 666262 relations and 340250 ideals in 326012 cliques
commencing in-memory singleton removal
begin with 11524036 relations and 7012950 unique ideals
reduce to 11512151 relations and 6660622 ideals in 4 passes
max relations containing the same ideal: 92
removing 529631 relations and 269577 ideals in 260054 cliques
commencing in-memory singleton removal
begin with 10982520 relations and 6660622 unique ideals
reduce to 10974582 relations and 6383028 ideals in 4 passes
max relations containing the same ideal: 88
removing 431036 relations and 218734 ideals in 212302 cliques
commencing in-memory singleton removal
begin with 10543546 relations and 6383028 unique ideals
reduce to 10537904 relations and 6158603 ideals in 4 passes
max relations containing the same ideal: 87
removing 358719 relations and 181713 ideals in 177006 cliques
commencing in-memory singleton removal
begin with 10179185 relations and 6158603 unique ideals
reduce to 10175086 relations and 5972760 ideals in 3 passes
max relations containing the same ideal: 84
removing 301353 relations and 152419 ideals in 148934 cliques
commencing in-memory singleton removal
begin with 9873733 relations and 5972760 unique ideals
reduce to 9870698 relations and 5817291 ideals in 3 passes
max relations containing the same ideal: 84
removing 258290 relations and 130463 ideals in 127827 cliques
commencing in-memory singleton removal
begin with 9612408 relations and 5817291 unique ideals
reduce to 9610136 relations and 5684534 ideals in 4 passes
max relations containing the same ideal: 82
removing 223498 relations and 112746 ideals in 110752 cliques
commencing in-memory singleton removal
begin with 9386638 relations and 5684534 unique ideals
reduce to 9384901 relations and 5570029 ideals in 3 passes
max relations containing the same ideal: 80
removing 196595 relations and 99059 ideals in 97536 cliques
commencing in-memory singleton removal
begin with 9188306 relations and 5570029 unique ideals
reduce to 9186915 relations and 5469567 ideals in 3 passes
max relations containing the same ideal: 79
removing 172662 relations and 86942 ideals in 85720 cliques
commencing in-memory singleton removal
begin with 9014253 relations and 5469567 unique ideals
reduce to 9013154 relations and 5381524 ideals in 3 passes
max relations containing the same ideal: 79
removing 153550 relations and 77275 ideals in 76275 cliques
commencing in-memory singleton removal
begin with 8859604 relations and 5381524 unique ideals
reduce to 8858690 relations and 5303333 ideals in 3 passes
max relations containing the same ideal: 78
removing 137441 relations and 69142 ideals in 68299 cliques
commencing in-memory singleton removal
begin with 8721249 relations and 5303333 unique ideals
reduce to 8720513 relations and 5233451 ideals in 3 passes
max relations containing the same ideal: 78
removing 123612 relations and 62144 ideals in 61468 cliques
commencing in-memory singleton removal
begin with 8596901 relations and 5233451 unique ideals
reduce to 8596251 relations and 5170655 ideals in 3 passes
max relations containing the same ideal: 76
removing 111192 relations and 55863 ideals in 55329 cliques
commencing in-memory singleton removal
begin with 8485059 relations and 5170655 unique ideals
reduce to 8484568 relations and 5114297 ideals in 3 passes
max relations containing the same ideal: 76
removing 100858 relations and 50661 ideals in 50197 cliques
commencing in-memory singleton removal
begin with 8383710 relations and 5114297 unique ideals
reduce to 8383276 relations and 5063199 ideals in 3 passes
max relations containing the same ideal: 75
removing 92656 relations and 46506 ideals in 46150 cliques
commencing in-memory singleton removal
begin with 8290620 relations and 5063199 unique ideals
reduce to 8290254 relations and 5016325 ideals in 2 passes
max relations containing the same ideal: 74
removing 84650 relations and 42482 ideals in 42168 cliques
commencing in-memory singleton removal
begin with 8205604 relations and 5016325 unique ideals
reduce to 8205283 relations and 4973521 ideals in 3 passes
max relations containing the same ideal: 73
removing 78288 relations and 39283 ideals in 39005 cliques
commencing in-memory singleton removal
begin with 8126995 relations and 4973521 unique ideals
reduce to 8126725 relations and 4933966 ideals in 3 passes
max relations containing the same ideal: 72
removing 71880 relations and 36060 ideals in 35820 cliques
commencing in-memory singleton removal
begin with 8054845 relations and 4933966 unique ideals
reduce to 8054633 relations and 4897694 ideals in 2 passes
max relations containing the same ideal: 72
removing 66281 relations and 33232 ideals in 33049 cliques
commencing in-memory singleton removal
begin with 7988352 relations and 4897694 unique ideals
reduce to 7988145 relations and 4864255 ideals in 2 passes
max relations containing the same ideal: 72
removing 61247 relations and 30715 ideals in 30532 cliques
commencing in-memory singleton removal
begin with 7926898 relations and 4864255 unique ideals
reduce to 7926733 relations and 4833373 ideals in 2 passes
max relations containing the same ideal: 72
removing 56683 relations and 28431 ideals in 28252 cliques
commencing in-memory singleton removal
begin with 7870050 relations and 4833373 unique ideals
reduce to 7869907 relations and 4804799 ideals in 3 passes
max relations containing the same ideal: 71
removing 52652 relations and 26391 ideals in 26261 cliques
commencing in-memory singleton removal
begin with 7817255 relations and 4804799 unique ideals
reduce to 7817125 relations and 4778278 ideals in 2 passes
max relations containing the same ideal: 71
removing 49036 relations and 24582 ideals in 24454 cliques
commencing in-memory singleton removal
begin with 7768089 relations and 4778278 unique ideals
reduce to 7767976 relations and 4753582 ideals in 2 passes
max relations containing the same ideal: 71
removing 46092 relations and 23104 ideals in 22988 cliques
commencing in-memory singleton removal
begin with 7721884 relations and 4753582 unique ideals
reduce to 7721785 relations and 4730379 ideals in 2 passes
max relations containing the same ideal: 70
removing 43126 relations and 21616 ideals in 21510 cliques
commencing in-memory singleton removal
begin with 7678659 relations and 4730379 unique ideals
reduce to 7678565 relations and 4708669 ideals in 2 passes
max relations containing the same ideal: 70
removing 40028 relations and 20055 ideals in 19973 cliques
commencing in-memory singleton removal
begin with 7638537 relations and 4708669 unique ideals
reduce to 7638463 relations and 4688540 ideals in 3 passes
max relations containing the same ideal: 69
removing 37282 relations and 18674 ideals in 18608 cliques
commencing in-memory singleton removal
begin with 7601181 relations and 4688540 unique ideals
reduce to 7601128 relations and 4669813 ideals in 2 passes
max relations containing the same ideal: 69
removing 35182 relations and 17627 ideals in 17555 cliques
commencing in-memory singleton removal
begin with 7565946 relations and 4669813 unique ideals
reduce to 7565887 relations and 4652127 ideals in 3 passes
max relations containing the same ideal: 69
removing 32923 relations and 16486 ideals in 16437 cliques
commencing in-memory singleton removal
begin with 7532964 relations and 4652127 unique ideals
reduce to 7532911 relations and 4635588 ideals in 2 passes
max relations containing the same ideal: 69
removing 30862 relations and 15456 ideals in 15406 cliques
commencing in-memory singleton removal
begin with 7502049 relations and 4635588 unique ideals
reduce to 7501999 relations and 4620082 ideals in 2 passes
max relations containing the same ideal: 69
removing 28651 relations and 14347 ideals in 14304 cliques
commencing in-memory singleton removal
begin with 7473348 relations and 4620082 unique ideals
reduce to 7473313 relations and 4605700 ideals in 2 passes
max relations containing the same ideal: 69
removing 27524 relations and 13783 ideals in 13741 cliques
commencing in-memory singleton removal
begin with 7445789 relations and 4605700 unique ideals
reduce to 7445753 relations and 4591881 ideals in 2 passes
max relations containing the same ideal: 69
removing 25872 relations and 12952 ideals in 12920 cliques
commencing in-memory singleton removal
begin with 7419881 relations and 4591881 unique ideals
reduce to 7419848 relations and 4578896 ideals in 2 passes
max relations containing the same ideal: 68
removing 24090 relations and 12059 ideals in 12031 cliques
commencing in-memory singleton removal
begin with 7395758 relations and 4578896 unique ideals
reduce to 7395732 relations and 4566811 ideals in 2 passes
max relations containing the same ideal: 68
removing 22669 relations and 11345 ideals in 11324 cliques
commencing in-memory singleton removal
begin with 7373063 relations and 4566811 unique ideals
reduce to 7373039 relations and 4555442 ideals in 2 passes
max relations containing the same ideal: 68
removing 21387 relations and 10706 ideals in 10681 cliques
commencing in-memory singleton removal
begin with 7351652 relations and 4555442 unique ideals
reduce to 7351636 relations and 4544720 ideals in 2 passes
max relations containing the same ideal: 68
removing 20017 relations and 10020 ideals in 9997 cliques
commencing in-memory singleton removal
begin with 7331619 relations and 4544720 unique ideals
reduce to 7331592 relations and 4534673 ideals in 2 passes
max relations containing the same ideal: 68
removing 18804 relations and 9413 ideals in 9391 cliques
commencing in-memory singleton removal
begin with 7312788 relations and 4534673 unique ideals
reduce to 7312767 relations and 4525239 ideals in 2 passes
max relations containing the same ideal: 68
removing 17815 relations and 8919 ideals in 8896 cliques
commencing in-memory singleton removal
begin with 7294952 relations and 4525239 unique ideals
reduce to 7294936 relations and 4516304 ideals in 2 passes
max relations containing the same ideal: 68
removing 16774 relations and 8394 ideals in 8380 cliques
commencing in-memory singleton removal
begin with 7278162 relations and 4516304 unique ideals
reduce to 7278148 relations and 4507896 ideals in 2 passes
max relations containing the same ideal: 68
relations with 0 large ideals: 5066
relations with 1 large ideals: 17279
relations with 2 large ideals: 158759
relations with 3 large ideals: 673252
relations with 4 large ideals: 1568460
relations with 5 large ideals: 2117572
relations with 6 large ideals: 1728538
relations with 7+ large ideals: 1009222
commencing 2-way merge
reduce to 7270140 relation sets and 4499888 unique ideals
commencing full merge
memory use: 393.7 MB
found 3411359 cycles, need 1069192
weight of 1069192 cycles is about 53923994 (50.43/cycle)
distribution of cycle lengths:
1 relations: 121502
2 relations: 137206
3 relations: 165357
4 relations: 178950
5 relations: 184708
6 relations: 171723
7 relations: 102536
8 relations: 7053
9 relations: 157
10+ relations: 0
heaviest cycle: 9 relations
commencing cycle optimization
start with 4337252 relations
pruned 245059 relations
memory use: 146.8 MB
distribution of cycle lengths:
1 relations: 121502
2 relations: 152522
3 relations: 194170
4 relations: 201971
5 relations: 190660
6 relations: 140442
7 relations: 64166
8 relations: 3692
9 relations: 67
10+ relations: 0
heaviest cycle: 9 relations
RelProcTime: 1924

commencing linear algebra
read 1069192 cycles
cycles contain 2417481 unique relations
read 2417481 relations
using 20 quadratic characters above 268425612
building initial matrix
memory use: 318.5 MB
read 1069192 cycles
matrix is 1064081 x 1069192 (236.1 MB) with weight 71648791 (67.01/col)
sparse part has weight 50132427 (46.89/col)
filtering completed in 3 passes
matrix is 1031911 x 1032111 (229.6 MB) with weight 69614182 (67.45/col)
sparse part has weight 48837275 (47.32/col)
matrix starts at (0, 0)
matrix is 1031911 x 1032111 (229.6 MB) with weight 69614182 (67.45/col)
sparse part has weight 48837275 (47.32/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 1031863 x 1032111 (217.1 MB) with weight 51207102 (49.61/col)
sparse part has weight 46587297 (45.14/col)
using block size 262144 for processor cache size 6144 kB
commencing Lanczos iteration (6 threads)
memory use: 269.2 MB
linear algebra at 0.1%, ETA 0h45m1032111 dimensions (0.1%, ETA 0h45m)    
checkpointing every 1220000 dimensions11 dimensions (0.2%, ETA 0h50m)    
linear algebra completed 1031649 of 1032111 dimensions (100.0%, ETA 0h 0m)      
lanczos halted after 16321 iterations (dim = 1031841)
recovered 29 nontrivial dependencies
BLanczosTime: 3445

commencing square root phase
reading relations for dependency 1
read 516615 cycles
cycles contain 1185770 unique relations
read 1185770 relations
multiplying 1185770 relations
multiply complete, coefficients have about 44.03 million bits
initial square root is modulo 2093981
found factor: 25402511866308672393111447049427322400419593869980133
reading relations for dependency 2
read 516153 cycles
cycles contain 1185766 unique relations
read 1185766 relations
multiplying 1185766 relations
multiply complete, coefficients have about 44.03 million bits
initial square root is modulo 2094031
found factor: 25402511866308672393111447049427322400419593869980133
reading relations for dependency 3
read 516113 cycles
cycles contain 1185414 unique relations
read 1185414 relations
multiplying 1185414 relations
multiply complete, coefficients have about 44.01 million bits
initial square root is modulo 2084041
sqrtTime: 893
prp43 factor: 3183481141316531308334781087850320844802263
prp51 factor: 121557270042623646346223817244151484982231823623363
prp53 factor: 25402511866308672393111447049427322400419593869980133
elapsed time 01:44:23

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 25, 2009 05:00:00 UTC 2009 年 10 月 25 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiFebruary 28, 2010 07:53:28 UTC 2010 年 2 月 28 日 (日) 16 時 53 分 28 秒 (日本時間)

59×10175+139

c142

name 名前Rich Dickerson
date 日付February 24, 2011 12:48:21 UTC 2011 年 2 月 24 日 (木) 21 時 48 分 21 秒 (日本時間)
composite number 合成数
1999990024808497573308784883541896865360885080426923768184407666706620117239454667442685159706199968175596890546923821922892520163933320856257<142>
prime factors 素因数
1800911279097916323643696232704706113<37>
1110543338820278026769195184694627442868314156125655888262743466568865753364650236379799254609616825359489<106>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3962576928
Step 1 took 39880ms
Step 2 took 15340ms
********** Factor found in step 2: 1800911279097916323643696232704706113
Found probable prime factor of 37 digits: 1800911279097916323643696232704706113
Probable prime cofactor 1110543338820278026769195184694627442868314156125655888262743466568865753364650236379799254609616825359489 has 106 digits
software ソフトウェア
GMP-ECM 6.3 [config GMP 5.0.1] [ECM]
execution environment 実行環境
C2D, 3GHz, Mac OS X

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 624Makoto KamadaOctober 25, 2009 05:00:00 UTC 2009 年 10 月 25 日 (日) 14 時 0 分 0 秒 (日本時間)
403e6100 / 2318Rich DickersonFebruary 24, 2011 04:29:47 UTC 2011 年 2 月 24 日 (木) 13 時 29 分 47 秒 (日本時間)

59×10179+139

c176

name 名前Ignacio Santos
date 日付November 15, 2009 12:22:47 UTC 2009 年 11 月 15 日 (日) 21 時 22 分 47 秒 (日本時間)
composite number 合成数
99734604526936795307402336156329766553408725932687594029447064590834558885677096539716348023057288233007082847338438392751491793025339351217945467146745102016667511875179606809<176>
prime factors 素因数
34227787132453009430793852808645752930870611989<47>
2913849035609246999052003284781673297721777732911788271360592562809210825744751320660074392479293423943525018257580230618885051381<130>
factorization results 素因数分解の結果
Number: 65557_179
N=99734604526936795307402336156329766553408725932687594029447064590834558885677096539716348023057288233007082847338438392751491793025339351217945467146745102016667511875179606809
  ( 176 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=34227787132453009430793852808645752930870611989 (pp47)
 r2=2913849035609246999052003284781673297721777732911788271360592562809210825744751320660074392479293423943525018257580230618885051381 (pp130)
Version: Msieve v. 1.43
Total time: 134.63 hours.
Scaled time: 234.12 units (timescale=1.739).
Factorization parameters were as follows:
n: 99734604526936795307402336156329766553408725932687594029447064590834558885677096539716348023057288233007082847338438392751491793025339351217945467146745102016667511875179606809
m: 1000000000000000000000000000000000000
deg: 5
c5: 59
c0: 130
skew: 1.17
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3750000, 10050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1572029 x 1572254
Total sieving time: 129.41 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 3.56 hours.
Time per square root: 1.46 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 134.63 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
3025e40--
351e6118 / 904Makoto KamadaOctober 25, 2009 05:00:00 UTC 2009 年 10 月 25 日 (日) 14 時 0 分 0 秒 (日本時間)

59×10180+139

c177

name 名前Ignacio Santos
date 日付November 2, 2009 12:12:28 UTC 2009 年 11 月 2 日 (月) 21 時 12 分 28 秒 (日本時間)
composite number 合成数
126513606645609656204634686600064757812215210366396270636191897553998794904289240124969711784849673959425585339860577716879702714467366994529894736390674017321642618359911912221<177>
prime factors 素因数
95780468341750701326160056307507237638238922434045248449733251961<65>
1320870620450520196921038614538489008181444841181434809163897968164710430144823057566665219559813287555704606661<112>
factorization results 素因数分解の結果
Number: 65557_180
N=126513606645609656204634686600064757812215210366396270636191897553998794904289240124969711784849673959425585339860577716879702714467366994529894736390674017321642618359911912221
  ( 177 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=95780468341750701326160056307507237638238922434045248449733251961 (pp65)
 r2=1320870620450520196921038614538489008181444841181434809163897968164710430144823057566665219559813287555704606661 (pp112)
Version: Msieve-1.40
Total time: 133.06 hours.
Scaled time: 231.40 units (timescale=1.739).
Factorization parameters were as follows:
n: 126513606645609656204634686600064757812215210366396270636191897553998794904289240124969711784849673959425585339860577716879702714467366994529894736390674017321642618359911912221
m: 1000000000000000000000000000000000000
deg: 5
c5: 59
c0: 13
skew: 0.74
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3750000, 5850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1364571 x 1364796
Total sieving time: 129.77 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.60 hours.
Time per square root: 0.50 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 133.06 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
3025e40--
351e6118 / 904Makoto KamadaOctober 25, 2009 05:00:00 UTC 2009 年 10 月 25 日 (日) 14 時 0 分 0 秒 (日本時間)

59×10182+139

c149

name 名前Rich Dickerson
date 日付February 24, 2011 12:48:33 UTC 2011 年 2 月 24 日 (木) 21 時 48 分 33 秒 (日本時間)
composite number 合成数
25485035823256305465239316904524749460700390579090474806736789523377197856582800420683159141062067090057838816854244985247888690521386971772753624227<149>
prime factors 素因数
21877153035960259580153769724456847653<38>
1164915552831103745376489051354243541980889653508778449693810351586375484570667831059292008153081060779391825959<112>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=152459734
Step 1 took 39873ms
Step 2 took 15849ms
********** Factor found in step 2: 21877153035960259580153769724456847653
Found probable prime factor of 38 digits: 21877153035960259580153769724456847653
Probable prime cofactor 1164915552831103745376489051354243541980889653508778449693810351586375484570667831059292008153081060779391825959 has 112 digits
software ソフトウェア
GMP-ECM 6.3 [config GMP 5.0.1] [ECM]
execution environment 実行環境
C2D, 3 GHz, Mac OS X

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 624Makoto KamadaOctober 25, 2009 05:00:00 UTC 2009 年 10 月 25 日 (日) 14 時 0 分 0 秒 (日本時間)
403e6100 / 2318Rich DickersonFebruary 24, 2011 04:30:28 UTC 2011 年 2 月 24 日 (木) 13 時 30 分 28 秒 (日本時間)

59×10183+139

c179

name 名前Dmitry Domanov
date 日付December 5, 2009 14:07:31 UTC 2009 年 12 月 5 日 (土) 23 時 7 分 31 秒 (日本時間)
composite number 合成数
42892464230229300205811129213184998106188655597502931590881498299204744633534782517031579758537236111383732705794771917503978457805083556701293244146087371222646057928090420222561<179>
prime factors 素因数
16565676361748490760573183459125786533<38>
composite cofactor 合成数の残り
2589237124616989862313430226179513606732074304991694656132791636140467706731208512624523960761262512329409853525097262768135108390631536245517<142>
factorization results 素因数分解の結果
Factor=16565676361748490760573183459125786533  Method=ECM  B1=11000000  Sigma=498181646
software ソフトウェア
ECMNET

c142

name 名前Jo Yeong Uk
date 日付July 21, 2014 22:12:05 UTC 2014 年 7 月 22 日 (火) 7 時 12 分 5 秒 (日本時間)
composite number 合成数
2589237124616989862313430226179513606732074304991694656132791636140467706731208512624523960761262512329409853525097262768135108390631536245517<142>
prime factors 素因数
4230274535024803041365631857074991381822365334193374829671076562049<67>
612073070714264786746686879951664914749427703862282245714963131240198357133<75>
factorization results 素因数分解の結果
Number: 65557_183
N=2589237124616989862313430226179513606732074304991694656132791636140467706731208512624523960761262512329409853525097262768135108390631536245517
  ( 142 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=4230274535024803041365631857074991381822365334193374829671076562049
 r2=612073070714264786746686879951664914749427703862282245714963131240198357133
Version: 
Total time: 88.51 hours.
Scaled time: 453.72 units (timescale=5.126).
Factorization parameters were as follows:
n: 2589237124616989862313430226179513606732074304991694656132791636140467706731208512624523960761262512329409853525097262768135108390631536245517
m: 2000000000000000000000000000000000000
deg: 5
c5: 7375
c0: 52
skew: 0.37
# Murphy_E = 4.933e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4000000, 8000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20612069
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1746996 x 1747244
Total sieving time: 82.21 hours.
Total relation processing time: 2.17 hours.
Matrix solve time: 3.98 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,54,54,2.5,2.5,100000
total time: 88.51 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
351e6118Makoto KamadaOctober 25, 2009 05:00:00 UTC 2009 年 10 月 25 日 (日) 14 時 0 分 0 秒 (日本時間)
403e60--
4511e6850 / 3773200Dmitry DomanovDecember 5, 2009 14:06:46 UTC 2009 年 12 月 5 日 (土) 23 時 6 分 46 秒 (日本時間)
350Rich DickersonFebruary 24, 2011 21:06:00 UTC 2011 年 2 月 25 日 (金) 6 時 6 分 0 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:57 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 57 秒 (日本時間)
5043e6200 / 7362Rich DickersonMay 2, 2012 22:32:27 UTC 2012 年 5 月 3 日 (木) 7 時 32 分 27 秒 (日本時間)

59×10186+139

c168

name 名前LegionMammal978
date 日付February 28, 2017 11:42:46 UTC 2017 年 2 月 28 日 (火) 20 時 42 分 46 秒 (日本時間)
composite number 合成数
140142016684634843800669972987957996329306488435650091540508814991111841265649575238457098481682353055168654953639134905798039633401132656209840143766996995019392851029<168>
prime factors 素因数
9046635380080519179997960393610511921386330557535532847<55>
15491064997845366455981600309536564113793313516259510514264044120896856726187141621250059212525224906344149861307<113>
factorization results 素因数分解の結果
Mon Feb 27 21:40:35 2017  Msieve v. 1.53 (SVN Unversioned directory)
Mon Feb 27 21:40:35 2017  random seeds: 7bdda362 45b0a0f3
Mon Feb 27 21:40:35 2017  factoring 140142016684634843800669972987957996329306488435650091540508814991111841265649575238457098481682353055168654953639134905798039633401132656209840143766996995019392851029 (168 digits)
Mon Feb 27 21:40:36 2017  no P-1/P+1/ECM available, skipping
Mon Feb 27 21:40:36 2017  commencing number field sieve (168-digit input)
Mon Feb 27 21:40:36 2017  R0: -10000000000000000000000000000000000000
Mon Feb 27 21:40:36 2017  R1: 1
Mon Feb 27 21:40:36 2017  A0: 13
Mon Feb 27 21:40:36 2017  A1: 0
Mon Feb 27 21:40:36 2017  A2: 0
Mon Feb 27 21:40:36 2017  A3: 0
Mon Feb 27 21:40:36 2017  A4: 0
Mon Feb 27 21:40:36 2017  A5: 590
Mon Feb 27 21:40:36 2017  skew 0.47, size 2.348e-13, alpha 1.557, combined = 3.512e-11 rroots = 1
Mon Feb 27 21:40:36 2017  
Mon Feb 27 21:40:36 2017  commencing relation filtering
Mon Feb 27 21:40:36 2017  estimated available RAM is 15929.4 MB
Mon Feb 27 21:40:36 2017  commencing duplicate removal, pass 1
Mon Feb 27 21:43:20 2017  found 3707361 hash collisions in 22822434 relations
Mon Feb 27 21:43:39 2017  added 272 free relations
Mon Feb 27 21:43:39 2017  commencing duplicate removal, pass 2
Mon Feb 27 21:43:45 2017  found 3465836 duplicates and 19356870 unique relations
Mon Feb 27 21:43:45 2017  memory use: 106.6 MB
Mon Feb 27 21:43:45 2017  reading ideals above 720000
Mon Feb 27 21:43:45 2017  commencing singleton removal, initial pass
Mon Feb 27 21:45:44 2017  memory use: 689.0 MB
Mon Feb 27 21:45:44 2017  reading all ideals from disk
Mon Feb 27 21:45:44 2017  memory use: 620.6 MB
Mon Feb 27 21:45:45 2017  keeping 21499707 ideals with weight <= 200, target excess is 116135
Mon Feb 27 21:45:46 2017  commencing in-memory singleton removal
Mon Feb 27 21:45:47 2017  begin with 19356870 relations and 21499707 unique ideals
Mon Feb 27 21:45:57 2017  reduce to 7962245 relations and 7799716 ideals in 22 passes
Mon Feb 27 21:45:57 2017  max relations containing the same ideal: 109
Mon Feb 27 21:45:59 2017  removing 240487 relations and 226581 ideals in 13906 cliques
Mon Feb 27 21:45:59 2017  commencing in-memory singleton removal
Mon Feb 27 21:46:00 2017  begin with 7721758 relations and 7799716 unique ideals
Mon Feb 27 21:46:03 2017  reduce to 7715237 relations and 7566586 ideals in 8 passes
Mon Feb 27 21:46:03 2017  max relations containing the same ideal: 108
Mon Feb 27 21:46:05 2017  removing 172225 relations and 158319 ideals in 13906 cliques
Mon Feb 27 21:46:05 2017  commencing in-memory singleton removal
Mon Feb 27 21:46:05 2017  begin with 7543012 relations and 7566586 unique ideals
Mon Feb 27 21:46:07 2017  reduce to 7539591 relations and 7404839 ideals in 6 passes
Mon Feb 27 21:46:07 2017  max relations containing the same ideal: 107
Mon Feb 27 21:46:09 2017  relations with 0 large ideals: 2883
Mon Feb 27 21:46:09 2017  relations with 1 large ideals: 778
Mon Feb 27 21:46:09 2017  relations with 2 large ideals: 14980
Mon Feb 27 21:46:09 2017  relations with 3 large ideals: 121988
Mon Feb 27 21:46:09 2017  relations with 4 large ideals: 538306
Mon Feb 27 21:46:09 2017  relations with 5 large ideals: 1381712
Mon Feb 27 21:46:09 2017  relations with 6 large ideals: 2199976
Mon Feb 27 21:46:09 2017  relations with 7+ large ideals: 3278968
Mon Feb 27 21:46:09 2017  commencing 2-way merge
Mon Feb 27 21:46:12 2017  reduce to 4413821 relation sets and 4279070 unique ideals
Mon Feb 27 21:46:12 2017  ignored 1 oversize relation sets
Mon Feb 27 21:46:12 2017  commencing full merge
Mon Feb 27 21:46:58 2017  memory use: 514.7 MB
Mon Feb 27 21:46:58 2017  found 2256262 cycles, need 2247270
Mon Feb 27 21:46:59 2017  weight of 2247270 cycles is about 157482091 (70.08/cycle)
Mon Feb 27 21:46:59 2017  distribution of cycle lengths:
Mon Feb 27 21:46:59 2017  1 relations: 336564
Mon Feb 27 21:46:59 2017  2 relations: 300103
Mon Feb 27 21:46:59 2017  3 relations: 275626
Mon Feb 27 21:46:59 2017  4 relations: 234016
Mon Feb 27 21:46:59 2017  5 relations: 200062
Mon Feb 27 21:46:59 2017  6 relations: 162955
Mon Feb 27 21:46:59 2017  7 relations: 137385
Mon Feb 27 21:46:59 2017  8 relations: 111539
Mon Feb 27 21:46:59 2017  9 relations: 91071
Mon Feb 27 21:46:59 2017  10+ relations: 397949
Mon Feb 27 21:46:59 2017  heaviest cycle: 28 relations
Mon Feb 27 21:46:59 2017  commencing cycle optimization
Mon Feb 27 21:47:02 2017  start with 12937180 relations
Mon Feb 27 21:47:14 2017  pruned 279648 relations
Mon Feb 27 21:47:14 2017  memory use: 434.3 MB
Mon Feb 27 21:47:14 2017  distribution of cycle lengths:
Mon Feb 27 21:47:14 2017  1 relations: 336564
Mon Feb 27 21:47:14 2017  2 relations: 306491
Mon Feb 27 21:47:14 2017  3 relations: 284523
Mon Feb 27 21:47:14 2017  4 relations: 238481
Mon Feb 27 21:47:14 2017  5 relations: 202766
Mon Feb 27 21:47:14 2017  6 relations: 163711
Mon Feb 27 21:47:14 2017  7 relations: 137137
Mon Feb 27 21:47:14 2017  8 relations: 110210
Mon Feb 27 21:47:14 2017  9 relations: 89123
Mon Feb 27 21:47:14 2017  10+ relations: 378264
Mon Feb 27 21:47:14 2017  heaviest cycle: 28 relations
Mon Feb 27 21:47:16 2017  RelProcTime: 400
Mon Feb 27 21:47:17 2017  elapsed time 00:06:42
Mon Feb 27 21:47:17 2017 LatSieveTime: 1136.57
Mon Feb 27 21:47:17 2017 -> Running matrix solving step ...
Mon Feb 27 21:47:17 2017 -> ./msieve -s 65557_186/65557_186.dat -l 65557_186/65557_186.log -i 65557_186/65557_186.ini -nf 65557_186/65557_186.fb -t 6 -nc2
Mon Feb 27 21:47:17 2017  
Mon Feb 27 21:47:17 2017  
Mon Feb 27 21:47:17 2017  Msieve v. 1.53 (SVN Unversioned directory)
Mon Feb 27 21:47:17 2017  random seeds: 118317cd 68baefbf
Mon Feb 27 21:47:17 2017  factoring 140142016684634843800669972987957996329306488435650091540508814991111841265649575238457098481682353055168654953639134905798039633401132656209840143766996995019392851029 (168 digits)
Mon Feb 27 21:47:17 2017  no P-1/P+1/ECM available, skipping
Mon Feb 27 21:47:17 2017  commencing number field sieve (168-digit input)
Mon Feb 27 21:47:17 2017  R0: -10000000000000000000000000000000000000
Mon Feb 27 21:47:17 2017  R1: 1
Mon Feb 27 21:47:17 2017  A0: 13
Mon Feb 27 21:47:17 2017  A1: 0
Mon Feb 27 21:47:17 2017  A2: 0
Mon Feb 27 21:47:17 2017  A3: 0
Mon Feb 27 21:47:17 2017  A4: 0
Mon Feb 27 21:47:17 2017  A5: 590
Mon Feb 27 21:47:17 2017  skew 0.47, size 2.348e-13, alpha 1.557, combined = 3.512e-11 rroots = 1
Mon Feb 27 21:47:17 2017  
Mon Feb 27 21:47:17 2017  commencing linear algebra
Mon Feb 27 21:47:18 2017  read 2247270 cycles
Mon Feb 27 21:47:20 2017  cycles contain 7358017 unique relations
Mon Feb 27 21:47:56 2017  read 7358017 relations
Mon Feb 27 21:48:01 2017  using 20 quadratic characters above 4294917295
Mon Feb 27 21:48:30 2017  building initial matrix
Mon Feb 27 21:49:12 2017  memory use: 898.5 MB
Mon Feb 27 21:49:13 2017  read 2247270 cycles
Mon Feb 27 21:49:13 2017  matrix is 2247093 x 2247270 (674.9 MB) with weight 198483188 (88.32/col)
Mon Feb 27 21:49:13 2017  sparse part has weight 152206504 (67.73/col)
Mon Feb 27 21:49:24 2017  filtering completed in 2 passes
Mon Feb 27 21:49:24 2017  matrix is 2244722 x 2244898 (674.7 MB) with weight 198398671 (88.38/col)
Mon Feb 27 21:49:24 2017  sparse part has weight 152175686 (67.79/col)
Mon Feb 27 21:49:28 2017  matrix starts at (0, 0)
Mon Feb 27 21:49:29 2017  matrix is 2244722 x 2244898 (674.7 MB) with weight 198398671 (88.38/col)
Mon Feb 27 21:49:29 2017  sparse part has weight 152175686 (67.79/col)
Mon Feb 27 21:49:29 2017  saving the first 48 matrix rows for later
Mon Feb 27 21:49:29 2017  matrix includes 64 packed rows
Mon Feb 27 21:49:29 2017  matrix is 2244674 x 2244898 (639.9 MB) with weight 157512057 (70.16/col)
Mon Feb 27 21:49:29 2017  sparse part has weight 145300675 (64.72/col)
Mon Feb 27 21:49:29 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Mon Feb 27 21:49:34 2017  commencing Lanczos iteration (6 threads)
Mon Feb 27 21:49:34 2017  memory use: 516.5 MB
Mon Feb 27 21:49:40 2017  linear algebra at 0.1%, ETA 2h 3m
Mon Feb 27 21:49:41 2017  checkpointing every 1220000 dimensions
Mon Feb 27 23:54:06 2017  lanczos halted after 35498 iterations (dim = 2244674)
Mon Feb 27 23:54:08 2017  recovered 38 nontrivial dependencies
Mon Feb 27 23:54:08 2017  BLanczosTime: 7611
Mon Feb 27 23:54:08 2017  elapsed time 02:06:51
Mon Feb 27 23:54:08 2017 -> Running square root step ...
Mon Feb 27 23:54:08 2017 -> ./msieve -s 65557_186/65557_186.dat -l 65557_186/65557_186.log -i 65557_186/65557_186.ini -nf 65557_186/65557_186.fb -t 6 -nc3
Mon Feb 27 23:54:08 2017  
Mon Feb 27 23:54:08 2017  
Mon Feb 27 23:54:08 2017  Msieve v. 1.53 (SVN Unversioned directory)
Mon Feb 27 23:54:08 2017  random seeds: 9eb7d20b 1b35426e
Mon Feb 27 23:54:08 2017  factoring 140142016684634843800669972987957996329306488435650091540508814991111841265649575238457098481682353055168654953639134905798039633401132656209840143766996995019392851029 (168 digits)
Mon Feb 27 23:54:09 2017  no P-1/P+1/ECM available, skipping
Mon Feb 27 23:54:09 2017  commencing number field sieve (168-digit input)
Mon Feb 27 23:54:09 2017  R0: -10000000000000000000000000000000000000
Mon Feb 27 23:54:09 2017  R1: 1
Mon Feb 27 23:54:09 2017  A0: 13
Mon Feb 27 23:54:09 2017  A1: 0
Mon Feb 27 23:54:09 2017  A2: 0
Mon Feb 27 23:54:09 2017  A3: 0
Mon Feb 27 23:54:09 2017  A4: 0
Mon Feb 27 23:54:09 2017  A5: 590
Mon Feb 27 23:54:09 2017  skew 0.47, size 2.348e-13, alpha 1.557, combined = 3.512e-11 rroots = 1
Mon Feb 27 23:54:09 2017  
Mon Feb 27 23:54:09 2017  commencing square root phase
Mon Feb 27 23:54:09 2017  reading relations for dependency 1
Mon Feb 27 23:54:09 2017  read 1121248 cycles
Mon Feb 27 23:54:10 2017  cycles contain 3675200 unique relations
Mon Feb 27 23:54:28 2017  read 3675200 relations
Mon Feb 27 23:54:38 2017  multiplying 3675200 relations
Mon Feb 27 23:56:24 2017  multiply complete, coefficients have about 114.99 million bits
Mon Feb 27 23:56:24 2017  initial square root is modulo 179198111
Mon Feb 27 23:58:36 2017  sqrtTime: 267
Mon Feb 27 23:58:36 2017  p55 factor: 9046635380080519179997960393610511921386330557535532847
Mon Feb 27 23:58:36 2017  p113 factor: 15491064997845366455981600309536564113793313516259510514264044120896856726187141621250059212525224906344149861307
Mon Feb 27 23:58:36 2017  elapsed time 00:04:28
software ソフトウェア
Msieve 1.53 snfs
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
351e6118Makoto KamadaOctober 25, 2009 05:00:00 UTC 2009 年 10 月 25 日 (日) 14 時 0 分 0 秒 (日本時間)
403e61400100Rich DickersonFebruary 24, 2011 21:08:57 UTC 2011 年 2 月 25 日 (金) 6 時 8 分 57 秒 (日本時間)
1000Dmitry DomanovApril 2, 2013 14:41:10 UTC 2013 年 4 月 2 日 (火) 23 時 41 分 10 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:39 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 39 秒 (日本時間)
4511e6600 / 3113300Rich DickersonFebruary 24, 2011 21:36:21 UTC 2011 年 2 月 25 日 (金) 6 時 36 分 21 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:58 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 58 秒 (日本時間)
5043e6300 / 7365Rich DickersonOctober 9, 2015 01:04:25 UTC 2015 年 10 月 9 日 (金) 10 時 4 分 25 秒 (日本時間)

59×10187+139

c143

name 名前Jo Yeong Uk
date 日付April 13, 2017 10:50:11 UTC 2017 年 4 月 13 日 (木) 19 時 50 分 11 秒 (日本時間)
composite number 合成数
43373700383561763389427044748442731360104347912647774134280089421197400997288237392066564262991307346444834368861027924967414191473060386894741<143>
prime factors 素因数
3234228046186616247981989168169643290443897663137<49>
13410835526796703679661517829888428855231662891570890183226584594040705656011581894208897279093<95>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 43373700383561763389427044748442731360104347912647774134280089421197400997288237392066564262991307346444834368861027924967414191473060386894741 (143 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1280229393
Step 1 took 25653ms
********** Factor found in step 1: 3234228046186616247981989168169643290443897663137
Found probable prime factor of 49 digits: 3234228046186616247981989168169643290443897663137
Probable prime cofactor 13410835526796703679661517829888428855231662891570890183226584594040705656011581894208897279093 has 95 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 25, 2009 05:00:00 UTC 2009 年 10 月 25 日 (日) 14 時 0 分 0 秒 (日本時間)
403e61300100Rich DickersonFebruary 24, 2011 21:07:43 UTC 2011 年 2 月 25 日 (金) 6 時 7 分 43 秒 (日本時間)
1200Warut RoonguthaiApril 1, 2013 12:12:02 UTC 2013 年 4 月 1 日 (月) 21 時 12 分 2 秒 (日本時間)
4511e6600 / 4188300Rich DickersonFebruary 24, 2011 21:08:27 UTC 2011 年 2 月 25 日 (金) 6 時 8 分 27 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:58 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 58 秒 (日本時間)

59×10189+139

c133

name 名前Wataru Sakai
date 日付October 27, 2009 07:15:58 UTC 2009 年 10 月 27 日 (火) 16 時 15 分 58 秒 (日本時間)
composite number 合成数
3507674056278720301005082176015613025187619510346656566411939505534180480709517086056449514798849089797345967348862922741913734482457<133>
prime factors 素因数
84827586340642371205886492540524983243965279<44>
41350629053536239606694402476456416541139861065143806414400328891246290212348829620411783<89>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2453899015
Step 1 took 38020ms
Step 2 took 14078ms
********** Factor found in step 2: 84827586340642371205886492540524983243965279
Found probable prime factor of 44 digits: 84827586340642371205886492540524983243965279
Probable prime cofactor 41350629053536239606694402476456416541139861065143806414400328891246290212348829620411783 has 89 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 KamadaOctober 25, 2009 05:00:00 UTC 2009 年 10 月 25 日 (日) 14 時 0 分 0 秒 (日本時間)

59×10190+139

c171

name 名前Rich Dickerson
date 日付February 24, 2011 21:20:39 UTC 2011 年 2 月 25 日 (金) 6 時 20 分 39 秒 (日本時間)
composite number 合成数
192554393636990119938710949234036343709456748868494088110837071327154417831604014846233337418955295861654936273096344793911813615778623624788104222409529966717898832076267<171>
prime factors 素因数
1439322567898456887737653031<28>
composite cofactor 合成数の残り
133781264833592664081889960210337921911392995599651208566501543330874025119039420122163842288648869877296913572428043568087401617491529163398557<144>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1374217855
Step 1 took 4327ms
********** Factor found in step 1: 1439322567898456887737653031
Found probable prime factor of 28 digits: 1439322567898456887737653031
Composite cofactor 133781264833592664081889960210337921911392995599651208566501543330874025119039420122163842288648869877296913572428043568087401617491529163398557 has 144 digits
software ソフトウェア
GMP-ECM 6.3 [config GMP 5.0.1] [ECM]
execution environment 実行環境
C2D, 3 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 KamadaOctober 25, 2009 05:00:00 UTC 2009 年 10 月 25 日 (日) 14 時 0 分 0 秒 (日本時間)
300Ignacio SantosMarch 23, 2011 00:02:36 UTC 2011 年 3 月 23 日 (水) 9 時 2 分 36 秒 (日本時間)
403e62710110Ignacio SantosMarch 23, 2011 00:02:36 UTC 2011 年 3 月 23 日 (水) 9 時 2 分 36 秒 (日本時間)
2600Warut RoonguthaiApril 1, 2013 16:56:21 UTC 2013 年 4 月 2 日 (火) 1 時 56 分 21 秒 (日本時間)
4511e6332 / 210832Ignacio SantosMarch 23, 2011 00:02:36 UTC 2011 年 3 月 23 日 (水) 9 時 2 分 36 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:59 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 59 秒 (日本時間)
5043e6500 / 7374Rich DickersonMay 28, 2016 17:56:49 UTC 2016 年 5 月 29 日 (日) 2 時 56 分 49 秒 (日本時間)

59×10192+139

c126

name 名前Sinkiti Sibata
date 日付April 8, 2010 06:13:36 UTC 2010 年 4 月 8 日 (木) 15 時 13 分 36 秒 (日本時間)
composite number 合成数
847237294611896659633874333104393409412492329045286591597161446104311147714861897891021812831073369901707989505131214657594387<126>
prime factors 素因数
583174914479391419743514507205149314408363080589<48>
1452801335544821059950065955699282388912320717734538925487697854011277619799583<79>
factorization results 素因数分解の結果
Number: 65557_192
N=847237294611896659633874333104393409412492329045286591597161446104311147714861897891021812831073369901707989505131214657594387
  ( 126 digits)
Divisors found:
 r1=583174914479391419743514507205149314408363080589 (pp48)
 r2=1452801335544821059950065955699282388912320717734538925487697854011277619799583 (pp79)
Version: Msieve-1.40
Total time: 110.24 hours.
Scaled time: 227.21 units (timescale=2.061).
Factorization parameters were as follows:
name: 65557_192
# Murphy_E = 1.381048e-10, selected by Jeff Gilchrist
n: 847237294611896659633874333104393409412492329045286591597161446104311147714861897891021812831073369901707989505131214657594387
Y0: -2786857309974666361769279
Y1: 36386592258533
c0: 1934878331977342075609055683920000
c1: 7368588006926593015489604520
c2: 686033312096494180127
c3: -15546548603868484
c4: 767780724
c5: 5040
skew: 1070968.92
type: gnfs
# selected mechanically
rlim: 7600000
alim: 7600000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [3800000, 7300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1045881 x 1046129
Total sieving time: 106.95 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 2.87 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
gnfs,125,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,7600000,7600000,27,27,53,53,2.5,2.5,100000
total time: 110.24 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 25, 2009 05:00:00 UTC 2009 年 10 月 25 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiOctober 31, 2009 06:03:02 UTC 2009 年 10 月 31 日 (土) 15 時 3 分 2 秒 (日本時間)

59×10193+139

c166

composite cofactor 合成数の残り
3693774061349092140204392743055616749727240497695818221258009731769696902212043650553872738348980056885154225330204912985942391909361677660640635743723031639194399391<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 25, 2009 05:00:00 UTC 2009 年 10 月 25 日 (日) 14 時 0 分 0 秒 (日本時間)
300Ignacio SantosMarch 23, 2011 06:38:21 UTC 2011 年 3 月 23 日 (水) 15 時 38 分 21 秒 (日本時間)
403e62810100Rich DickersonFebruary 24, 2011 21:48:22 UTC 2011 年 2 月 25 日 (金) 6 時 48 分 22 秒 (日本時間)
110Ignacio SantosMarch 23, 2011 06:38:21 UTC 2011 年 3 月 23 日 (水) 15 時 38 分 21 秒 (日本時間)
1000Dmitry DomanovApril 2, 2013 14:41:24 UTC 2013 年 4 月 2 日 (火) 23 時 41 分 24 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:40 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 40 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:48 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 48 秒 (日本時間)
4511e632 / 3840Ignacio SantosMarch 23, 2011 06:38:21 UTC 2011 年 3 月 23 日 (水) 15 時 38 分 21 秒 (日本時間)

59×10195+139

c183

name 名前matsui
date 日付April 28, 2011 08:35:01 UTC 2011 年 4 月 28 日 (木) 17 時 35 分 1 秒 (日本時間)
composite number 合成数
244238723407976218315351967191942269290152541629542902422748222896441998809485581351398456355474449938387861764931887726042022891205735838382537005608270641812814476041529007277084699<183>
prime factors 素因数
46101900805784739340859702234132656351<38>
5297801590370213477954216938894404011287123487290829647692113114006010407280655313605540360022004337943095847286670953073177176489908592428948549<145>
factorization results 素因数分解の結果
N=244238723407976218315351967191942269290152541629542902422748222896441998809485581351398456355474449938387861764931887726042022891205735838382537005608270641812814476041529007277084699
  ( 183 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=46101900805784739340859702234132656351 (pp38)
 r2=5297801590370213477954216938894404011287123487290829647692113114006010407280655313605540360022004337943095847286670953073177176489908592428948549 (pp145)
Version: Msieve v. 1.49
Total time:
Scaled time: 76.83 units (timescale=0.653).
Factorization parameters were as follows:
n: 244238723407976218315351967191942269290152541629542902422748222896441998809485581351398456355474449938387861764931887726042022891205735838382537005608270641812814476041529007277084699
m: 1000000000000000000000000000000000000000
deg: 5
c5: 59
c0: 13
skew: 0.74
type: snfs
lss: 1
rlim: 13300000
alim: 13300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 13300000/13300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6650000, 13050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2433263 x 2433470
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,196.000,5,0,0,0,0,0,0,0,0,13300000,13300000,28,28,55,55,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 25, 2009 05:00:00 UTC 2009 年 10 月 25 日 (日) 14 時 0 分 0 秒 (日本時間)
300Ignacio SantosMarch 23, 2011 06:38:53 UTC 2011 年 3 月 23 日 (水) 15 時 38 分 53 秒 (日本時間)
403e6110 / 2126Ignacio SantosMarch 23, 2011 06:38:53 UTC 2011 年 3 月 23 日 (水) 15 時 38 分 53 秒 (日本時間)
4511e632 / 4437Ignacio SantosMarch 23, 2011 06:38:53 UTC 2011 年 3 月 23 日 (水) 15 時 38 分 53 秒 (日本時間)

59×10196+139

c165

composite cofactor 合成数の残り
904374214480691842351960991614021117074395303136118710484554385804971684127603873638773030096200626430243445088887303406312832271023549944348209402912581306672794973<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 25, 2009 05:00:00 UTC 2009 年 10 月 25 日 (日) 14 時 0 分 0 秒 (日本時間)
300Ignacio SantosMarch 23, 2011 06:39:27 UTC 2011 年 3 月 23 日 (水) 15 時 39 分 27 秒 (日本時間)
403e62710110Ignacio SantosMarch 23, 2011 06:39:27 UTC 2011 年 3 月 23 日 (水) 15 時 39 分 27 秒 (日本時間)
1000Dmitry DomanovApril 2, 2013 14:41:34 UTC 2013 年 4 月 2 日 (火) 23 時 41 分 34 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:41 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 41 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:48 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 48 秒 (日本時間)
4511e62685 / 386232Ignacio SantosMarch 23, 2011 06:39:27 UTC 2011 年 3 月 23 日 (水) 15 時 39 分 27 秒 (日本時間)
2653Ei7wydhriuerhuu2hhJanuary 27, 2018 12:11:53 UTC 2018 年 1 月 27 日 (土) 21 時 11 分 53 秒 (日本時間)

59×10199+139

c182

composite cofactor 合成数の残り
87663074640019338784292604518648881165453801829180282433234278553630479449615111017134574562929542625521129257361887250890536418800181963086916305434872655076899612113248136688113849<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 25, 2009 05:00:00 UTC 2009 年 10 月 25 日 (日) 14 時 0 分 0 秒 (日本時間)
300Ignacio SantosMarch 23, 2011 06:40:06 UTC 2011 年 3 月 23 日 (水) 15 時 40 分 6 秒 (日本時間)
403e62710110Ignacio SantosMarch 23, 2011 06:40:06 UTC 2011 年 3 月 23 日 (水) 15 時 40 分 6 秒 (日本時間)
1000Dmitry DomanovApril 2, 2013 14:41:44 UTC 2013 年 4 月 2 日 (火) 23 時 41 分 44 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:42 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 42 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:49 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 49 秒 (日本時間)
4511e632 / 3862Ignacio SantosMarch 23, 2011 06:40:06 UTC 2011 年 3 月 23 日 (水) 15 時 40 分 6 秒 (日本時間)

59×10200+139

c175

name 名前Robert Backstrom
date 日付October 5, 2012 02:16:42 UTC 2012 年 10 月 5 日 (金) 11 時 16 分 42 秒 (日本時間)
composite number 合成数
6494334687334384695800773964758717660602533958579643915978387144510863393741621851650232301533573301937273045237373310881528391207836636095926433549615477368594345095107915207<175>
prime factors 素因数
1522166632648128860689163794591607813284279521707<49>
4266507061737468394823278952561476927401814646499558499968754584197609684312249161160576533288626505045915928259141970156220501<127>
factorization results 素因数分解の結果
Number: n
N=6494334687334384695800773964758717660602533958579643915978387144510863393741621851650232301533573301937273045237373310881528391207836636095926433549615477368594345095107915207
  ( 175 digits)
SNFS difficulty: 201 digits.
Divisors found:

Fri Oct  5 07:23:36 2012  prp49 factor: 1522166632648128860689163794591607813284279521707
Fri Oct  5 07:23:36 2012  prp127 factor: 4266507061737468394823278952561476927401814646499558499968754584197609684312249161160576533288626505045915928259141970156220501
Fri Oct  5 07:23:36 2012  elapsed time 05:09:34 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.089).
Factorization parameters were as follows:
name: KA_65557_200
n: 6494334687334384695800773964758717660602533958579643915978387144510863393741621851650232301533573301937273045237373310881528391207836636095926433549615477368594345095107915207
m: 10000000000000000000000000000000000000000
#  c175, diff: 201.77
skew: 0.739
deg: 5
c5: 59
c0: 13
# Murphy_E = 1.581e-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, 19450000)
Primes: RFBsize:1037119, AFBsize:1039024,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8487217 hash collisions in 61393444 relations (55398527 unique)
Msieve: matrix is 1807145 x 1807370 (512.4 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
351e6418118Makoto KamadaOctober 25, 2009 05:00:00 UTC 2009 年 10 月 25 日 (日) 14 時 0 分 0 秒 (日本時間)
300Ignacio SantosMarch 23, 2011 06:40:40 UTC 2011 年 3 月 23 日 (水) 15 時 40 分 40 秒 (日本時間)
403e6110 / 2126Ignacio SantosMarch 23, 2011 06:40:40 UTC 2011 年 3 月 23 日 (水) 15 時 40 分 40 秒 (日本時間)
4511e632 / 4437Ignacio SantosMarch 23, 2011 06:40:40 UTC 2011 年 3 月 23 日 (水) 15 時 40 分 40 秒 (日本時間)

59×10201+139

c179

composite cofactor 合成数の残り
28122794643567880358844047897274112021712993422204062036174388478861816233170135092306006759380822158216138726340811933768494651533812170856523247821902294511312404839048135590731<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 2, 2013 14:41:54 UTC 2013 年 4 月 2 日 (火) 23 時 41 分 54 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:43 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 43 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:49 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 49 秒 (日本時間)

59×10203+139

c174

composite cofactor 合成数の残り
136304945423928106461466844447634196735715772271386081532069122899055089780589973092509141429876915092143108509028997505205126426668864113828382469748586070642793442562249149<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 2, 2013 14:42:04 UTC 2013 年 4 月 2 日 (火) 23 時 42 分 4 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:45 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 45 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:50 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 50 秒 (日本時間)

59×10207+139

c199

name 名前Dmitry Domanov
date 日付April 2, 2013 09:03:07 UTC 2013 年 4 月 2 日 (火) 18 時 3 分 7 秒 (日本時間)
composite number 合成数
1344656652452799628181158114585141219217070652534271736611133096965288622050509640634530012228213927255902513485014189633020943654769630072397412456263506564563079160612170326636135977101895833973699<199>
prime factors 素因数
1094877471105479731945811296735416887<37>
1228134369314515143688096804785564416809591742501816979215210774787979328090162701466748914560201151763405415498001482428728547398656518278516658938913803253208277<163>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=304267517
Step 1 took 31531ms
Step 2 took 11555ms
********** Factor found in step 2: 1094877471105479731945811296735416887
Found probable prime factor of 37 digits: 1094877471105479731945811296735416887

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)

59×10209+139

c178

composite cofactor 合成数の残り
7661771787233303669816309462286105954893099558988733596521398188939217774302572988027814091507881119717174177460300642257960966811707777637883811628152824546259193697250334156331<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 2, 2013 14:42:15 UTC 2013 年 4 月 2 日 (火) 23 時 42 分 15 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:46 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 46 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:50 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 50 秒 (日本時間)

59×10210+139

c199

name 名前Dmitry Domanov
date 日付April 2, 2013 09:06:45 UTC 2013 年 4 月 2 日 (火) 18 時 6 分 45 秒 (日本時間)
composite number 合成数
1039696280485599053598773995153214570837956817340968872761438702414614097998093721767333526173202962634002875608984077611167815204098934869556920429016051097041216283285798388580158999060473566623801<199>
prime factors 素因数
84869779204153146437695840856581367<35>
12250488810447158317051832515956089985510707407915734328158465650714078309102653380898001354235462768406439390786323922660037609141070034857901169566097791507329103<164>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1213189148
Step 1 took 33358ms
Step 2 took 10213ms
********** Factor found in step 2: 84869779204153146437695840856581367
Found probable prime factor of 35 digits: 84869779204153146437695840856581367

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)

59×10213+139

c178

name 名前Dmitry Domanov
date 日付April 2, 2013 09:00:20 UTC 2013 年 4 月 2 日 (火) 18 時 0 分 20 秒 (日本時間)
composite number 合成数
2230787173429211601075478992908049250883382437503247915902550785587726444469568351142790223093202433330664551193918611029417702931012634366586924105026919262034801163294204553753<178>
prime factors 素因数
37952338326334134135582018756827<32>
58778649005701099946483444235583349419088077729431410218283161646278517232224709177743645846312436166042377629901243266207004620179027696790112539<146>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2509397368
Step 1 took 30357ms
Step 2 took 10646ms
********** Factor found in step 2: 37952338326334134135582018756827
Found probable prime factor of 32 digits: 37952338326334134135582018756827

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)

59×10214+139

c214

name 名前Dmitry Domanov
date 日付April 2, 2013 09:15:24 UTC 2013 年 4 月 2 日 (火) 18 時 15 分 24 秒 (日本時間)
composite number 合成数
3856209150326797385620915032679738562091503267973856209150326797385620915032679738562091503267973856209150326797385620915032679738562091503267973856209150326797385620915032679738562091503267973856209150326797385621<214>
prime factors 素因数
536404074599757796927187475280627<33>
7189000481035008498102621292198421446197261675032911999557381157211527528042775704351762066370586882688375366637588693579620166996781487394301620224101427302523881268106973978465623<181>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2278815350
Step 1 took 44714ms
Step 2 took 14556ms
********** Factor found in step 2: 536404074599757796927187475280627
Found probable prime factor of 33 digits: 536404074599757796927187475280627

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)

59×10217+139

c212

name 名前Bob Backstrom
date 日付December 9, 2017 21:47:34 UTC 2017 年 12 月 10 日 (日) 6 時 47 分 34 秒 (日本時間)
composite number 合成数
25782750090381648939714992236551750327539250194801786805760670442397468885573839021335750094707907005728184177283588007909798131117694889295207550482733925908329563152377320321871852128324505363401963081112051089<212>
prime factors 素因数
2436458758134340658250537678710287763119014834223742115535191967370324300495832486327583378529<94>
10582058901799005202451841387038445002732196670774370117426132003714725541252265979653512803863714032441135692911566641<119>
factorization results 素因数分解の結果
Number: n
N=25782750090381648939714992236551750327539250194801786805760670442397468885573839021335750094707907005728184177283588007909798131117694889295207550482733925908329563152377320321871852128324505363401963081112051089
  ( 212 digits)
SNFS difficulty: 218 digits.
Divisors found:

Sun Dec 10 08:26:14 2017  p94 factor: 2436458758134340658250537678710287763119014834223742115535191967370324300495832486327583378529
Sun Dec 10 08:26:14 2017  p119 factor: 10582058901799005202451841387038445002732196670774370117426132003714725541252265979653512803863714032441135692911566641
Sun Dec 10 08:26:14 2017  elapsed time 09:33:14 (Msieve 1.53 - dependency 5)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.757).
Factorization parameters were as follows:
#
# 59x10^217+13 65(216)7
#
n: 25782750090381648939714992236551750327539250194801786805760670442397468885573839021335750094707907005728184177283588007909798131117694889295207550482733925908329563152377320321871852128324505363401963081112051089
m: 1000000000000000000000000000000000000
deg: 6
c6: 590
c0: 13
skew: 0.53
# Murphy_E = 2.502e-12
type: snfs
lss: 1
rlim: 31000000
alim: 31000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 31000000/31000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 63500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 15402944 hash collisions in 78723563 relations (64136030 unique)
Msieve: matrix is 4135540 x 4135766 (1169.4 MB)

Sieving start time: 2017/12/07 19:53:32
Sieving end time  : 2017/12/09 22:51:28

Total sieving time: 50hrs 57min 56secs.

Total relation processing time: 8hrs 2min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 1hrs 5min 32sec.

Prototype def-par.txt line would be:
snfs,218,6,0,0,0,0,0,0,0,0,31000000,31000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.068000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16297376K/16703460K available (9294K kernel code, 2479K rwdata, 3996K rodata, 2324K init, 2384K bss, 406084K reserved, 0K cma-reserved)
[    0.100632] x86/mm: Memory block size: 128MB
[    0.008000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.77 BogoMIPS (lpj=11977548)
[    0.098232] smpboot: Total of 16 processors activated (95820.38 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovApril 2, 2013 14:42:30 UTC 2013 年 4 月 2 日 (火) 23 時 42 分 30 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:47 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 47 秒 (日本時間)
4511e6595 / 4188295CypMarch 7, 2014 12:16:12 UTC 2014 年 3 月 7 日 (金) 21 時 16 分 12 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:59 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 59 秒 (日本時間)

59×10218+139

c216

name 名前Warut Roonguthai
date 日付April 1, 2013 01:18:03 UTC 2013 年 4 月 1 日 (月) 10 時 18 分 3 秒 (日本時間)
composite number 合成数
997801454422458988669034331134787755792322002367664468121089125655335700997801454422458988669034331134787755792322002367664468121089125655335700997801454422458988669034331134787755792322002367664468121089125655335701<216>
prime factors 素因数
1525103543610214609124540901411073<34>
composite cofactor 合成数の残り
654251613671075902787827048402278204747903569666882467826823534835674250006068028005507263029479814231045993643651474314634617889476257046400977570060303300324718095231638878474262037<183>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1322075727
Step 1 took 14149ms
Step 2 took 7800ms
********** Factor found in step 2: 1525103543610214609124540901411073
Found probable prime factor of 34 digits: 1525103543610214609124540901411073
Composite cofactor 654251613671075902787827048402278204747903569666882467826823534835674250006068028005507263029479814231045993643651474314634617889476257046400977570060303300324718095231638878474262037 has 183 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
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 2, 2013 14:42:39 UTC 2013 年 4 月 2 日 (火) 23 時 42 分 39 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:48 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 48 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:50 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 50 秒 (日本時間)

59×10220+139

c172

name 名前Dmitry Domanov
date 日付April 2, 2013 09:01:13 UTC 2013 年 4 月 2 日 (火) 18 時 1 分 13 秒 (日本時間)
composite number 合成数
1393682839736181817085437967034801490337557376274583918858785185807061879221301651295441062942923702455447947429885918025483482653757747850359247695043950110572435192433009<172>
prime factors 素因数
11784837078779928752322446091932415997<38>
118260679415388937372646882985477482436397653044310813342601133056068376033256924540262516606547621809236708454873850501824306192772997<135>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=384467649
Step 1 took 26709ms
Step 2 took 10097ms
********** Factor found in step 2: 11784837078779928752322446091932415997
Found probable prime factor of 38 digits: 11784837078779928752322446091932415997

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)

59×10221+139

c194

name 名前Warut Roonguthai
date 日付April 1, 2013 01:43:18 UTC 2013 年 4 月 1 日 (月) 10 時 43 分 18 秒 (日本時間)
composite number 合成数
23190747875970931344904077070515968218964398076659433368855924055921781051577637943164104814255979678100141980438913437756408478662404306008853539037878420603697195245110625647549078929748569257<194>
prime factors 素因数
884302287624752726947782294874802789<36>
26224909966321106358831448245180419224740914545151439239170349696463661406687121632999393440113466033295453703400606153925591126263324688654896959773510497013<158>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1093032354
Step 1 took 12433ms
Step 2 took 7114ms
********** Factor found in step 2: 884302287624752726947782294874802789
Found probable prime factor of 36 digits: 884302287624752726947782294874802789
Probable prime cofactor 26224909966321106358831448245180419224740914545151439239170349696463661406687121632999393440113466033295453703400606153925591126263324688654896959773510497013 has 158 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 KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)

59×10222+139

c192

name 名前Dmitry Domanov
date 日付April 2, 2013 09:07:52 UTC 2013 年 4 月 2 日 (火) 18 時 7 分 52 秒 (日本時間)
composite number 合成数
466976447657436061225776207869427044396066093847421426881538570651207309239666281949602349282623006260027449181060700200513589499250955309956812099487662350741526865837452852516324713952432697<192>
prime factors 素因数
6585042738859413341532786039589719731<37>
70914717819784483625081161506868682195088271267610533461758382559127070615955846925202167088385952580514467899043190108140719810622429858661418664076153187<155>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=710483441
Step 1 took 31001ms
Step 2 took 11968ms
********** Factor found in step 2: 6585042738859413341532786039589719731
Found probable prime factor of 37 digits: 6585042738859413341532786039589719731

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)

59×10223+139

c201

composite cofactor 合成数の残り
362144256607656732199462889296053027255930388744242601835658493251841676836010004732367600599156913957550047571804666338278690710824752746893551708555978110717550926007709024464363382195054655860259897<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovApril 2, 2013 14:42:50 UTC 2013 年 4 月 2 日 (火) 23 時 42 分 50 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:48 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 48 秒 (日本時間)
4511e6595 / 4188295CypMarch 9, 2014 09:36:38 UTC 2014 年 3 月 9 日 (日) 18 時 36 分 38 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:59 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 59 秒 (日本時間)

59×10224+139

c215

composite cofactor 合成数の残り
14300754417632939540024920338115502704385627850789783899504329403698913971659845018996920830728393379863529233083500646025844343399754719660938921039413887700555763061526075738105485472390476608504278353416009372169<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 2, 2013 14:42:59 UTC 2013 年 4 月 2 日 (火) 23 時 42 分 59 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:49 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 49 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:51 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 51 秒 (日本時間)

59×10227+139

c86

name 名前Warut Roonguthai
date 日付March 31, 2013 16:24:39 UTC 2013 年 4 月 1 日 (月) 1 時 24 分 39 秒 (日本時間)
composite number 合成数
20165417778731815013561576614556521244832449316864684701671012205209226038214188254719<86>
prime factors 素因数
277540036347528476765998547696560229<36>
72657689478289175057377379241284652419829783921811<50>
factorization results 素因数分解の結果
starting SIQS on c86: 20165417778731815013561576614556521244832449316864684701671012205209226038214188254719

==== sieving in progress ( 4 threads):   56992 relations needed ====
====            Press ctrl-c to abort and save state            ====
57369 rels found: 18752 full + 38617 from 611016 partial, (1832.90 rels/sec)

SIQS elapsed time = 352.9194 seconds.

***factors found***

PRP36 = 277540036347528476765998547696560229
PRP50 = 72657689478289175057377379241284652419829783921811
software ソフトウェア
YAFU 1.24

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)

59×10228+139

c205

composite cofactor 合成数の残り
1023217627713515774512512839638910202454468603656048589985189853042871700769329720481636753701742541611452051250262218175263437992521731166455409683324252329290565360487385797883962580864307473328554902851<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovApril 2, 2013 14:43:09 UTC 2013 年 4 月 2 日 (火) 23 時 43 分 9 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:50 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 50 秒 (日本時間)
4511e6595 / 4188295CypFebruary 17, 2014 06:08:25 UTC 2014 年 2 月 17 日 (月) 15 時 8 分 25 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:00 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 0 秒 (日本時間)

59×10229+139

c148

composite cofactor 合成数の残り
1025095213608461255321464100278358872700384520272722898132303771127782988649806266262399919057064846296446786535795809384409133792264354190216576707<148>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiApril 1, 2013 22:36:24 UTC 2013 年 4 月 2 日 (火) 7 時 36 分 24 秒 (日本時間)
403e62600Warut RoonguthaiApril 1, 2013 22:36:24 UTC 2013 年 4 月 2 日 (火) 7 時 36 分 24 秒 (日本時間)
4511e63946850Serge BatalovNovember 8, 2013 17:10:37 UTC 2013 年 11 月 9 日 (土) 2 時 10 分 37 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:44 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 44 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:01:47 UTC 2014 年 5 月 25 日 (日) 4 時 1 分 47 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:00 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 0 秒 (日本時間)
1496Ignacio SantosDecember 22, 2015 14:44:15 UTC 2015 年 12 月 22 日 (火) 23 時 44 分 15 秒 (日本時間)

59×10230+139

c179

composite cofactor 合成数の残り
20860687490442826920273899007297167287463750924565904781540543448346297535963230410117240698215021539589371959603020896564059997342661951649826857492356318301753851206150254591531<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 2, 2013 14:43:28 UTC 2013 年 4 月 2 日 (火) 23 時 43 分 28 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:51 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 51 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:51 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 51 秒 (日本時間)

59×10231+139

c163

name 名前Warut Roonguthai
date 日付April 7, 2013 15:01:44 UTC 2013 年 4 月 8 日 (月) 0 時 1 分 44 秒 (日本時間)
composite number 合成数
1379786210562560960690244161633815342325308919883424119639447940048078028117444718295486495391005125755062264154649200050547934518366459503393088761949077154543941<163>
prime factors 素因数
12295334508908547119544777920664661<35>
3284369261215045786845722076799118790986501<43>
34167993260084177373326351068808893149096430870087126843151837513681233558256574065981<86>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=155111067
Step 1 took 6427ms
Step 2 took 4649ms
********** Factor found in step 2: 12295334508908547119544777920664661
Found probable prime factor of 35 digits: 12295334508908547119544777920664661
Composite cofactor 112220306780823333432978919341077489029784927276765209927210012695985438612138559789995652114962403431660650860161785455654322481 has 129 digits

N = 112220306780823333432978919341077489029784927276765209927210012695985438612138559789995652114962403431660650860161785455654322481 (129 digits)
Divisors found:
r1=3284369261215045786845722076799118790986501 (pp43)
r2=34167993260084177373326351068808893149096430870087126843151837513681233558256574065981 (pp86)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 21.90 hours.
Factorization parameters were as follows:
n: 112220306780823333432978919341077489029784927276765209927210012695985438612138559789995652114962403431660650860161785455654322481
Y0: -8345612287028482641394084
Y1: 61066257184183
c0: -80824428228573592396896253012965
c1: 485075841175833712368860061
c2: 4461130241449152603785
c3: -1328178812539409
c4: -11163718244
c5: 2772
skew: 629350.83 
type: gnfs
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19218631
Relations: 2398320 relations
Pruned matrix : 1338179 x 1338416
Polynomial selection time: 0.00 hours.
Total sieving time: 20.19 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 1.44 hours.
time per square root: 0.18 hours.
Prototype def-par.txt line would be: gnfs,128,5,65,2000,1e-05,0.28,250,20,50000,3600,6800000,6800000,28,28,55,55,2.5,2.5,100000
total time: 21.90 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz
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 KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)

59×10232+139

c226

name 名前Warut Roonguthai
date 日付April 1, 2013 02:11:24 UTC 2013 年 4 月 1 日 (月) 11 時 11 分 24 秒 (日本時間)
composite number 合成数
3647374841831435434198368860587980192430180142545219890554397699503011795047677278444125342419722995233864018336231172645168408785803937393070483596219111456585510536378802305588476204498712931057190917885803253046638295901469<226>
prime factors 素因数
2164847135718926164532844918416969<34>
composite cofactor 合成数の残り
1684818656085005844925763449449709030040957129843459272849748137502009699929945335560102242071403387220029291903890262471866666346433191659727920717637090126064093147925818598234573118801000501<193>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2648121932
Step 1 took 14087ms
Step 2 took 7800ms
********** Factor found in step 2: 2164847135718926164532844918416969
Found probable prime factor of 34 digits: 2164847135718926164532844918416969
Composite cofactor 1684818656085005844925763449449709030040957129843459272849748137502009699929945335560102242071403387220029291903890262471866666346433191659727920717637090126064093147925818598234573118801000501 has 193 digits
software ソフトウェア
GMP-ECM 6.3

c193

name 名前Dmitry Domanov
date 日付April 2, 2013 09:05:23 UTC 2013 年 4 月 2 日 (火) 18 時 5 分 23 秒 (日本時間)
composite number 合成数
1684818656085005844925763449449709030040957129843459272849748137502009699929945335560102242071403387220029291903890262471866666346433191659727920717637090126064093147925818598234573118801000501<193>
prime factors 素因数
75383886546149111144185783135019658713<38>
22349851318074189135790054729260495368033153755070034360126512785240920328916542182285045679270453613845890767247623766174746181344175380948060692072249277<155>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4221618217
Step 1 took 27930ms
Step 2 took 12343ms
********** Factor found in step 2: 75383886546149111144185783135019658713
Found probable prime factor of 38 digits: 75383886546149111144185783135019658713

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)

59×10233+139

c231

name 名前Dmitry Domanov
date 日付April 2, 2013 09:08:23 UTC 2013 年 4 月 2 日 (火) 18 時 8 分 23 秒 (日本時間)
composite number 合成数
137519520779432673705801459105423863133114234435820338904039344567978929212409388620842365335757406241987739785096613290445889564832296109829149476726569237582453441484278488683775027387362189124303661748595669300515115493089061371<231>
prime factors 素因数
250520770314556909500659305099187583789157<42>
548934607724387482850469401533065433555657553100890125386696104212688795724220791591269005114975601941676108593230990716555990182169054942565942302393752689531482373421405941021330512212703<189>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3231888734
Step 1 took 38061ms
Step 2 took 14124ms
********** Factor found in step 2: 250520770314556909500659305099187583789157
Found probable prime factor of 42 digits: 250520770314556909500659305099187583789157

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)

59×10235+139

c232

name 名前Dmitry Domanov
date 日付April 2, 2013 09:07:19 UTC 2013 年 4 月 2 日 (火) 18 時 7 分 19 秒 (日本時間)
composite number 合成数
1490813807462660167729187354866749040446536637381019160747630490427206593945274499250802891673425864861518558105099846623054045790725116675131456929378381178349340630740580709880052658575843257352365214007585462796615094616140712609<232>
prime factors 素因数
1010648493024671718867690312011<31>
1475106149914643729151132494927572965555291631996436006030451867741806484976590069634312955865345668643688442574444987729466392350970867231516453890635258592043254588670336136481521468414330500158180419<202>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1437958502
Step 1 took 43504ms
Step 2 took 12132ms
********** Factor found in step 2: 1010648493024671718867690312011
Found probable prime factor of 31 digits: 1010648493024671718867690312011

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)

59×10236+139

c233

composite cofactor 合成数の残り
76431800810954361146736103014522042154081328617879859572759188009275452437397173318824245721762335963105462930576606687134843832990037956809555270555620328268107211793815501405567862370940370240824945267057893850478670345756739600741<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 2, 2013 14:43:40 UTC 2013 年 4 月 2 日 (火) 23 時 43 分 40 秒 (日本時間)
4511e65250850Serge BatalovNovember 8, 2013 17:17:06 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 6 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:43 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 43 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:24 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 24 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 00:35:01 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 1 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 01:48:45 UTC 2014 年 12 月 18 日 (木) 10 時 48 分 45 秒 (日本時間)

59×10237+139

c187

name 名前Dmitry Domanov
date 日付April 2, 2013 09:03:59 UTC 2013 年 4 月 2 日 (火) 18 時 3 分 59 秒 (日本時間)
composite number 合成数
3526411879000047260000245839736164099797872497007299514522541584399102084809216466276025111371818082589605933076324423601932497698976370774046032860045165616930013559417505052008942294291<187>
prime factors 素因数
160853580247908479216084652188719<33>
composite cofactor 合成数の残り
21923117120334658607051030605833074143873474409077789029944708375334177062828122056381408979120410544871682011432211742876718834631106540523941388962205789<155>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3092122967
Step 1 took 32332ms
Step 2 took 9838ms
********** Factor found in step 2: 160853580247908479216084652188719
Found probable prime factor of 33 digits: 160853580247908479216084652188719

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 2, 2013 14:43:56 UTC 2013 年 4 月 2 日 (火) 23 時 43 分 56 秒 (日本時間)
4511e643141000Dmitry DomanovMay 8, 2013 22:46:35 UTC 2013 年 5 月 9 日 (木) 7 時 46 分 35 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:56 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 56 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:52 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 52 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:46 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 46 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:01 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 1 秒 (日本時間)
864Ignacio SantosDecember 26, 2015 23:01:25 UTC 2015 年 12 月 27 日 (日) 8 時 1 分 25 秒 (日本時間)

59×10238+139

c223

composite cofactor 合成数の残り
2151015436224997274510114630578126025098505898899668993592907113436725086620656908224730647577385174699414610035775274166440024483093676265738710498579105553794102244049608335493203965547206880676812035777472547229366695923<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 2, 2013 14:44:10 UTC 2013 年 4 月 2 日 (火) 23 時 44 分 10 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:52 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 52 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:52 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 52 秒 (日本時間)

59×10240+139

c199

composite cofactor 合成数の残り
2283739116324926951638204712632396574387124280814743176151301604868806435433096229487482864480047676550276201080420079338564101243026495575068795895715018145582624675832281234700430052317111665780057<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e624001100Tapio RajalaApril 2, 2013 03:04:28 UTC 2013 年 4 月 2 日 (火) 12 時 4 分 28 秒 (日本時間)
1000Dmitry DomanovApril 2, 2013 14:44:22 UTC 2013 年 4 月 2 日 (火) 23 時 44 分 22 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:53 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 53 秒 (日本時間)
4511e6300 / 3944Serge BatalovMay 27, 2014 00:35:02 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 2 秒 (日本時間)

59×10241+139

c207

name 名前Serge Batalov
date 日付May 26, 2014 22:27:20 UTC 2014 年 5 月 27 日 (火) 7 時 27 分 20 秒 (日本時間)
composite number 合成数
107764230751580474956041732996627314254193471699034424839274400620885356821544485547354523448314155127174070091528906731234313104089124339706415891686296860335992478153748141873722818382389015366249772779309<207>
prime factors 素因数
65742788380672932592084994209773478892993<41>
composite cofactor 合成数の残り
1639179496427641751458946933798959575461307534129278069927888210965292157913125566766282263972285033228204653016754224350653641368452662864065783849585140981449032813<166>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=229608456
Step 1 took 16148ms
Step 2 took 5951ms
********** Factor found in step 2: 65742788380672932592084994209773478892993
Found probable prime factor of 41 digits: 65742788380672932592084994209773478892993
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 2, 2013 14:44:35 UTC 2013 年 4 月 2 日 (火) 23 時 44 分 35 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:54 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 54 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:52 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 52 秒 (日本時間)
4511e61200Serge BatalovJune 5, 2014 01:17:32 UTC 2014 年 6 月 5 日 (木) 10 時 17 分 32 秒 (日本時間)
5043e60 / 2798--
5511e71820 / 17674900Serge BatalovJune 5, 2014 01:55:57 UTC 2014 年 6 月 5 日 (木) 10 時 55 分 57 秒 (日本時間)
920Serge BatalovJune 5, 2014 15:28:28 UTC 2014 年 6 月 6 日 (金) 0 時 28 分 28 秒 (日本時間)

59×10243+139

c202

name 名前Serge Batalov
date 日付January 9, 2014 09:27:04 UTC 2014 年 1 月 9 日 (木) 18 時 27 分 4 秒 (日本時間)
composite number 合成数
1595849833069007834935535253490090160756971017874994187883527795981133956460190589908786310185498619189744984296553546086717577869468423838084534108372006214212965638368338765166883271071694647655474411<202>
prime factors 素因数
576321229572957489381368293224907462307171456341<48>
composite cofactor 合成数の残り
2769028366786871031390618802009840575763396293167323574709290746566167927859232797094188469378812598134810374126760323441607103942682883182430105370366271<154>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=778758053
Step 1 took 17398ms
Step 2 took 6816ms
********** Factor found in step 2: 576321229572957489381368293224907462307171456341
Found probable prime factor of 48 digits: 576321229572957489381368293224907462307171456341
Composite cofactor

c154

name 名前Ignacio Santos
date 日付February 7, 2014 23:22:57 UTC 2014 年 2 月 8 日 (土) 8 時 22 分 57 秒 (日本時間)
composite number 合成数
2769028366786871031390618802009840575763396293167323574709290746566167927859232797094188469378812598134810374126760323441607103942682883182430105370366271<154>
prime factors 素因数
1627259591773056887475448325543792252833<40>
composite cofactor 合成数の残り
1701651279725901944010787876991214048912464439880587404545688330134138681017303181570296005446113599442836636990687<115>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:959869620
Step 1 took 32328ms
Step 2 took 19391ms
********** Factor found in step 2: 1627259591773056887475448325543792252833
Found probable prime factor of 40 digits: 1627259591773056887475448325543792252833
Composite cofactor 1701651279725901944010787876991214048912464439880587404545688330134138681017303181570296005446113599442836636990687 has 115 digits
software ソフトウェア
GMP-ECM 7.0

c115

name 名前Cyp
date 日付February 8, 2014 16:30:18 UTC 2014 年 2 月 9 日 (日) 1 時 30 分 18 秒 (日本時間)
composite number 合成数
1701651279725901944010787876991214048912464439880587404545688330134138681017303181570296005446113599442836636990687<115>
prime factors 素因数
127197817790799162138687938677968409862324072664569417<54>
13377991142305514233603540993946380964051985324875173968206311<62>
factorization results 素因数分解の結果
02/08/14 14:43:22 v1.34.3, 
02/08/14 14:43:22 v1.34.3, ****************************
02/08/14 14:43:22 v1.34.3, Starting factorization of 1701651279725901944010787876991214048912464439880587404545688330134138681017303181570296005446113599442836636990687
02/08/14 14:43:22 v1.34.3, using pretesting plan: none
02/08/14 14:43:22 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
02/08/14 14:43:22 v1.34.3, ****************************
02/08/14 14:43:22 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C115
02/08/14 14:43:22 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C115
02/08/14 14:43:22 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C115
02/08/14 14:43:22 v1.34.3, final ECM pretested depth: 0.00
02/08/14 14:43:22 v1.34.3, scheduler: switching to sieve method
02/08/14 14:43:22 v1.34.3, nfs: commencing nfs on c115: 1701651279725901944010787876991214048912464439880587404545688330134138681017303181570296005446113599442836636990687
02/08/14 14:43:22 v1.34.3, nfs: commencing poly selection with 8 threads
02/08/14 14:43:22 v1.34.3, nfs: setting deadline of 825 seconds
02/08/14 14:57:13 v1.34.3, nfs: completed 139 ranges of size 250 in 830.7242 seconds
02/08/14 14:57:13 v1.34.3, nfs: best poly = # norm 7.225521e-11 alpha -5.677061 e 5.918e-10 rroots 3
02/08/14 14:57:13 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/08/14 15:03:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
[21 lines snipped]
02/08/14 17:07:49 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/08/14 17:13:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/08/14 17:19:35 v1.34.3, nfs: commencing msieve filtering
02/08/14 17:21:36 v1.34.3, nfs: commencing msieve linear algebra
02/08/14 17:29:04 v1.34.3, nfs: commencing msieve sqrt
02/08/14 17:30:17 v1.34.3, prp62 = 13377991142305514233603540993946380964051985324875173968206311
02/08/14 17:30:17 v1.34.3, prp54 = 127197817790799162138687938677968409862324072664569417
02/08/14 17:30:17 v1.34.3, NFS elapsed time = 10014.8208 seconds.
02/08/14 17:30:17 v1.34.3, 
02/08/14 17:30:17 v1.34.3, 
02/08/14 17:30:17 v1.34.3, Total factoring time = 10014.8511 seconds
--
Sat Feb  8 17:19:35 2014  
Sat Feb  8 17:19:35 2014  commencing relation filtering
Sat Feb  8 17:19:35 2014  estimated available RAM is 15988.7 MB
Sat Feb  8 17:19:35 2014  commencing duplicate removal, pass 1
Sat Feb  8 17:20:08 2014  found 1047472 hash collisions in 10309581 relations
Sat Feb  8 17:20:19 2014  added 62676 free relations
Sat Feb  8 17:20:19 2014  commencing duplicate removal, pass 2
Sat Feb  8 17:20:27 2014  found 451820 duplicates and 9920437 unique relations
Sat Feb  8 17:20:27 2014  memory use: 41.3 MB
Sat Feb  8 17:20:27 2014  reading ideals above 100000
Sat Feb  8 17:20:27 2014  commencing singleton removal, initial pass
Sat Feb  8 17:21:12 2014  memory use: 344.5 MB
Sat Feb  8 17:21:12 2014  reading all ideals from disk
Sat Feb  8 17:21:13 2014  memory use: 343.5 MB
Sat Feb  8 17:21:13 2014  keeping 10691732 ideals with weight <= 200, target excess is 54205
Sat Feb  8 17:21:13 2014  commencing in-memory singleton removal
Sat Feb  8 17:21:14 2014  begin with 9920437 relations and 10691732 unique ideals
Sat Feb  8 17:21:18 2014  reduce to 3798023 relations and 3456822 ideals in 20 passes
Sat Feb  8 17:21:18 2014  max relations containing the same ideal: 106
Sat Feb  8 17:21:19 2014  removing 874866 relations and 735704 ideals in 139162 cliques
Sat Feb  8 17:21:19 2014  commencing in-memory singleton removal
Sat Feb  8 17:21:19 2014  begin with 2923157 relations and 3456822 unique ideals
Sat Feb  8 17:21:20 2014  reduce to 2757504 relations and 2547286 ideals in 10 passes
Sat Feb  8 17:21:20 2014  max relations containing the same ideal: 85
Sat Feb  8 17:21:21 2014  removing 663255 relations and 524093 ideals in 139162 cliques
Sat Feb  8 17:21:21 2014  commencing in-memory singleton removal
Sat Feb  8 17:21:21 2014  begin with 2094249 relations and 2547286 unique ideals
Sat Feb  8 17:21:22 2014  reduce to 1959176 relations and 1880827 ideals in 10 passes
Sat Feb  8 17:21:22 2014  max relations containing the same ideal: 70
Sat Feb  8 17:21:23 2014  removing 121695 relations and 106224 ideals in 15471 cliques
Sat Feb  8 17:21:23 2014  commencing in-memory singleton removal
Sat Feb  8 17:21:23 2014  begin with 1837481 relations and 1880827 unique ideals
Sat Feb  8 17:21:23 2014  reduce to 1832205 relations and 1769282 ideals in 9 passes
Sat Feb  8 17:21:23 2014  max relations containing the same ideal: 67
Sat Feb  8 17:21:23 2014  relations with 0 large ideals: 169
Sat Feb  8 17:21:23 2014  relations with 1 large ideals: 1148
Sat Feb  8 17:21:23 2014  relations with 2 large ideals: 12809
Sat Feb  8 17:21:23 2014  relations with 3 large ideals: 76982
Sat Feb  8 17:21:23 2014  relations with 4 large ideals: 252636
Sat Feb  8 17:21:23 2014  relations with 5 large ideals: 477025
Sat Feb  8 17:21:23 2014  relations with 6 large ideals: 527090
Sat Feb  8 17:21:23 2014  relations with 7+ large ideals: 484346
Sat Feb  8 17:21:23 2014  commencing 2-way merge
Sat Feb  8 17:21:24 2014  reduce to 1034164 relation sets and 971241 unique ideals
Sat Feb  8 17:21:24 2014  commencing full merge
Sat Feb  8 17:21:32 2014  memory use: 110.7 MB
Sat Feb  8 17:21:32 2014  found 517610 cycles, need 509441
Sat Feb  8 17:21:33 2014  weight of 509441 cycles is about 35677917 (70.03/cycle)
Sat Feb  8 17:21:33 2014  distribution of cycle lengths:
Sat Feb  8 17:21:33 2014  1 relations: 56551
Sat Feb  8 17:21:33 2014  2 relations: 53935
Sat Feb  8 17:21:33 2014  3 relations: 54974
Sat Feb  8 17:21:33 2014  4 relations: 50957
Sat Feb  8 17:21:33 2014  5 relations: 47791
Sat Feb  8 17:21:33 2014  6 relations: 41528
Sat Feb  8 17:21:33 2014  7 relations: 37385
Sat Feb  8 17:21:33 2014  8 relations: 32919
Sat Feb  8 17:21:33 2014  9 relations: 28291
Sat Feb  8 17:21:33 2014  10+ relations: 105110
Sat Feb  8 17:21:33 2014  heaviest cycle: 20 relations
Sat Feb  8 17:21:33 2014  commencing cycle optimization
Sat Feb  8 17:21:33 2014  start with 3118491 relations
Sat Feb  8 17:21:36 2014  pruned 63663 relations
Sat Feb  8 17:21:36 2014  memory use: 105.5 MB
Sat Feb  8 17:21:36 2014  distribution of cycle lengths:
Sat Feb  8 17:21:36 2014  1 relations: 56551
Sat Feb  8 17:21:36 2014  2 relations: 55018
Sat Feb  8 17:21:36 2014  3 relations: 56595
Sat Feb  8 17:21:36 2014  4 relations: 52025
Sat Feb  8 17:21:36 2014  5 relations: 48660
Sat Feb  8 17:21:36 2014  6 relations: 42112
Sat Feb  8 17:21:36 2014  7 relations: 37944
Sat Feb  8 17:21:36 2014  8 relations: 33020
Sat Feb  8 17:21:36 2014  9 relations: 28263
Sat Feb  8 17:21:36 2014  10+ relations: 99253
Sat Feb  8 17:21:36 2014  heaviest cycle: 20 relations
Sat Feb  8 17:21:36 2014  RelProcTime: 121
Sat Feb  8 17:21:36 2014  
Sat Feb  8 17:21:36 2014  commencing linear algebra
Sat Feb  8 17:21:36 2014  read 509441 cycles
Sat Feb  8 17:21:37 2014  cycles contain 1777912 unique relations
Sat Feb  8 17:21:48 2014  read 1777912 relations
Sat Feb  8 17:21:49 2014  using 20 quadratic characters above 134217498
Sat Feb  8 17:21:55 2014  building initial matrix
Sat Feb  8 17:22:05 2014  memory use: 222.7 MB
Sat Feb  8 17:22:05 2014  read 509441 cycles
Sat Feb  8 17:22:05 2014  matrix is 509263 x 509441 (152.8 MB) with weight 48810148 (95.81/col)
Sat Feb  8 17:22:05 2014  sparse part has weight 34441941 (67.61/col)
Sat Feb  8 17:22:08 2014  filtering completed in 2 passes
Sat Feb  8 17:22:08 2014  matrix is 508628 x 508806 (152.7 MB) with weight 48785878 (95.88/col)
Sat Feb  8 17:22:08 2014  sparse part has weight 34435964 (67.68/col)
Sat Feb  8 17:22:09 2014  matrix starts at (0, 0)
Sat Feb  8 17:22:09 2014  matrix is 508628 x 508806 (152.7 MB) with weight 48785878 (95.88/col)
Sat Feb  8 17:22:09 2014  sparse part has weight 34435964 (67.68/col)
Sat Feb  8 17:22:09 2014  saving the first 48 matrix rows for later
Sat Feb  8 17:22:09 2014  matrix includes 64 packed rows
Sat Feb  8 17:22:09 2014  matrix is 508580 x 508806 (147.7 MB) with weight 38618265 (75.90/col)
Sat Feb  8 17:22:09 2014  sparse part has weight 33621731 (66.08/col)
Sat Feb  8 17:22:09 2014  using block size 65536 for processor cache size 8192 kB
Sat Feb  8 17:22:10 2014  commencing Lanczos iteration (8 threads)
Sat Feb  8 17:22:10 2014  memory use: 140.9 MB
Sat Feb  8 17:22:13 2014  linear algebra at 0.6%, ETA 0h 8m
Sat Feb  8 17:29:04 2014  lanczos halted after 8046 iterations (dim = 508578)
Sat Feb  8 17:29:04 2014  recovered 31 nontrivial dependencies
Sat Feb  8 17:29:04 2014  BLanczosTime: 448
Sat Feb  8 17:29:04 2014  
Sat Feb  8 17:29:04 2014  commencing square root phase
Sat Feb  8 17:29:04 2014  reading relations for dependency 1
Sat Feb  8 17:29:04 2014  read 254135 cycles
Sat Feb  8 17:29:04 2014  cycles contain 888168 unique relations
Sat Feb  8 17:29:13 2014  read 888168 relations
Sat Feb  8 17:29:16 2014  multiplying 888168 relations
Sat Feb  8 17:29:43 2014  multiply complete, coefficients have about 35.63 million bits
Sat Feb  8 17:29:43 2014  initial square root is modulo 130787
Sat Feb  8 17:30:17 2014  sqrtTime: 73
--
n: 1701651279725901944010787876991214048912464439880587404545688330134138681017303181570296005446113599442836636990687
skew: 124700.61
c0: 9663165618210428859984206235
c1: 284576005148746142171374
c2: -5774031167658748128
c3: -24544638004850
c4: 294183149
c5: 1260
Y0: -16830600482168870120114
Y1: 326078640953
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61300 / 15251000Dmitry DomanovApril 2, 2013 14:44:45 UTC 2013 年 4 月 2 日 (火) 23 時 44 分 45 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:55 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 55 秒 (日本時間)
4511e6230 / 4188Ignacio SantosFebruary 7, 2014 17:53:55 UTC 2014 年 2 月 8 日 (土) 2 時 53 分 55 秒 (日本時間)

59×10244+139

c233

composite cofactor 合成数の残り
60017716071074016586141797183209029354610508230142169737282714581264330987047861566552899098510857473804668225740018138983839191580035151130206868988476303225868294878885675842470126054504396072366555844878733053196296274797953790469<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 2, 2013 14:44:55 UTC 2013 年 4 月 2 日 (火) 23 時 44 分 55 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:56 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 56 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:53 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 53 秒 (日本時間)

59×10246+139

c178

name 名前Serge Batalov
date 日付May 27, 2014 02:06:05 UTC 2014 年 5 月 27 日 (火) 11 時 6 分 5 秒 (日本時間)
composite number 合成数
7633556181777093658778525977919223930658841802201342108436934869288522839168130656845275888531173693561821655602870959635179519378326786723757942294551149669805592865615423699551<178>
prime factors 素因数
1246570989686364714590113010170177335992087<43>
composite cofactor 合成数の残り
6123643374452091409790605776587547328416170251417136139367007567142215825969476549595086067664662587937125149344046974586327961573575673<136>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1620230443
Step 1 took 50839ms
Step 2 took 24377ms
********** Factor found in step 2: 1246570989686364714590113010170177335992087
Found probable prime factor of 43 digits: 1246570989686364714590113010170177335992087
Composite cofactor 

c136

name 名前Erik Branger
date 日付December 15, 2014 16:19:22 UTC 2014 年 12 月 16 日 (火) 1 時 19 分 22 秒 (日本時間)
composite number 合成数
6123643374452091409790605776587547328416170251417136139367007567142215825969476549595086067664662587937125149344046974586327961573575673<136>
prime factors 素因数
6539751975183173680677237081759776758813204739153<49>
936372418662035363715706352681759336211118897363419143381847878701507404731214745516841<87>
factorization results 素因数分解の結果
Number: 65557_246
N = 6123643374452091409790605776587547328416170251417136139367007567142215825969476549595086067664662587937125149344046974586327961573575673 (136 digits)
Divisors found:
r1=6539751975183173680677237081759776758813204739153 (pp49)
r2=936372418662035363715706352681759336211118897363419143381847878701507404731214745516841 (pp87)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 88.49 hours.
Factorization parameters were as follows:
# Murphy_E = 3.87e-11, selected by Erik Branger
# expecting poly E from 3.70e-011 to > 4.26e-011
n: 6123643374452091409790605776587547328416170251417136139367007567142215825969476549595086067664662587937125149344046974586327961573575673
Y0: -348689379477822462253322252
Y1: 23646289581301
c0: -67271649513147080389081568179106175
c1: 155701377787410818149214258183
c2: 59850582108508811431928
c3: -32649983862509776
c4: -5986065318
c5: 1188
skew: 3238776.71
type: gnfs
# selected mechanically
rlim: 14000000
alim: 14000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 14000000/14000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22156617
Relations: 3215088 relations
Pruned matrix : 1934176 x 1934404
Polynomial selection time: 0.00 hours.
Total sieving time: 85.99 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.30 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: gnfs,135,5,65,2000,1e-05,0.28,250,20,50000,3600,14000000,14000000,28,28,55,55,2.6,2.6,100000
total time: 88.49 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
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 KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61300300Tapio RajalaApril 1, 2013 14:22:48 UTC 2013 年 4 月 1 日 (月) 23 時 22 分 48 秒 (日本時間)
1000Dmitry DomanovApril 2, 2013 14:45:05 UTC 2013 年 4 月 2 日 (火) 23 時 45 分 5 秒 (日本時間)
4511e6605 / 4188305CypJanuary 8, 2014 02:46:14 UTC 2014 年 1 月 8 日 (水) 11 時 46 分 14 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:02 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 2 秒 (日本時間)

59×10248+139

c227

composite cofactor 合成数の残り
60689218440198328460357356618081424745697018326357919396069300249847871021680539511798773527138598678651620646351169807362308391197428152746526348981791771917371826947521495536682814948012852253382385088621959631735405388343897<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 2, 2013 14:45:17 UTC 2013 年 4 月 2 日 (火) 23 時 45 分 17 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:57 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 57 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:53 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 53 秒 (日本時間)

59×10249+139

c213

name 名前Dmitry Domanov
date 日付April 3, 2013 05:15:36 UTC 2013 年 4 月 3 日 (水) 14 時 15 分 36 秒 (日本時間)
composite number 合成数
101258868556920232382988151951360742605739413499019946300512900952020521708595768861708493267187817314019972517632368290254950830265350820806743388503959713251119757841710534897548533713833451029372012938762399301<213>
prime factors 素因数
318281920834422957791814458372454957407<39>
318142068174828111061234634865771734868512364293543574832142609797648193783815649956094058831877901286282824993821836594137214591440369499758741071989644840726202779505524443<174>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1599311592
Step 1 took 31233ms
Step 2 took 11249ms
********** Factor found in step 2: 318281920834422957791814458372454957407
Found probable prime factor of 39 digits: 318281920834422957791814458372454957407

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2318Dmitry DomanovApril 2, 2013 14:45:27 UTC 2013 年 4 月 2 日 (火) 23 時 45 分 27 秒 (日本時間)

59×10250+139

c230

composite cofactor 合成数の残り
32489858324925463904446241501265031429474458102198183466069303210553754927170135989542208854577959135374415682062791931767153932252364795664341583567321376139804258544890412865520867531751957680665287099592362559149763184810707163<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62400Dmitry DomanovMarch 31, 2013 23:11:59 UTC 2013 年 4 月 1 日 (月) 8 時 11 分 59 秒 (日本時間)
4511e61600Dmitry DomanovApril 2, 2013 09:50:19 UTC 2013 年 4 月 2 日 (火) 18 時 50 分 19 秒 (日本時間)
5043e6670 / 7103Dmitry DomanovApril 3, 2013 05:21:27 UTC 2013 年 4 月 3 日 (水) 14 時 21 分 27 秒 (日本時間)