Table of contents 目次

19×10107-73

c90

name 名前Sinkiti Sibata
date 日付May 28, 2009 11:08:57 UTC 2009 年 5 月 28 日 (木) 20 時 8 分 57 秒 (日本時間)
composite number 合成数
125079328653870506893939709139555539629227686655558726451828266925280542002683923482627619<90>
prime factors 素因数
27699069066082335842545359049149492434657<41>
4515650990127709404839488960748228699356811540867<49>
factorization results 素因数分解の結果
Thu May 28 17:24:09 2009  Msieve v. 1.39
Thu May 28 17:24:09 2009  random seeds: 7f5bdf80 2937e844
Thu May 28 17:24:09 2009  factoring 125079328653870506893939709139555539629227686655558726451828266925280542002683923482627619 (90 digits)
Thu May 28 17:24:10 2009  searching for 15-digit factors
Thu May 28 17:24:12 2009  commencing quadratic sieve (90-digit input)
Thu May 28 17:24:13 2009  using multiplier of 19
Thu May 28 17:24:13 2009  using 64kb Pentium 4 sieve core
Thu May 28 17:24:13 2009  sieve interval: 17 blocks of size 65536
Thu May 28 17:24:13 2009  processing polynomials in batches of 6
Thu May 28 17:24:13 2009  using a sieve bound of 1565693 (59275 primes)
Thu May 28 17:24:13 2009  using large prime bound of 125255440 (26 bits)
Thu May 28 17:24:13 2009  using double large prime bound of 376733166741360 (42-49 bits)
Thu May 28 17:24:13 2009  using trial factoring cutoff of 49 bits
Thu May 28 17:24:13 2009  polynomial 'A' values have 12 factors
Thu May 28 20:01:23 2009  59872 relations (15512 full + 44360 combined from 636070 partial), need 59371
Thu May 28 20:01:23 2009  begin with 651582 relations
Thu May 28 20:01:24 2009  reduce to 147624 relations in 9 passes
Thu May 28 20:01:24 2009  attempting to read 147624 relations
Thu May 28 20:01:26 2009  recovered 147624 relations
Thu May 28 20:01:26 2009  recovered 129772 polynomials
Thu May 28 20:01:26 2009  attempting to build 59872 cycles
Thu May 28 20:01:26 2009  found 59872 cycles in 5 passes
Thu May 28 20:01:26 2009  distribution of cycle lengths:
Thu May 28 20:01:26 2009     length 1 : 15512
Thu May 28 20:01:26 2009     length 2 : 11355
Thu May 28 20:01:26 2009     length 3 : 10603
Thu May 28 20:01:26 2009     length 4 : 8064
Thu May 28 20:01:26 2009     length 5 : 5649
Thu May 28 20:01:26 2009     length 6 : 3749
Thu May 28 20:01:26 2009     length 7 : 2267
Thu May 28 20:01:26 2009     length 9+: 2673
Thu May 28 20:01:26 2009  largest cycle: 17 relations
Thu May 28 20:01:27 2009  matrix is 59275 x 59872 (14.6 MB) with weight 3590614 (59.97/col)
Thu May 28 20:01:27 2009  sparse part has weight 3590614 (59.97/col)
Thu May 28 20:01:28 2009  filtering completed in 3 passes
Thu May 28 20:01:28 2009  matrix is 55768 x 55831 (13.6 MB) with weight 3342235 (59.86/col)
Thu May 28 20:01:28 2009  sparse part has weight 3342235 (59.86/col)
Thu May 28 20:01:28 2009  saving the first 48 matrix rows for later
Thu May 28 20:01:28 2009  matrix is 55720 x 55831 (8.6 MB) with weight 2634322 (47.18/col)
Thu May 28 20:01:28 2009  sparse part has weight 1910383 (34.22/col)
Thu May 28 20:01:28 2009  matrix includes 64 packed rows
Thu May 28 20:01:28 2009  using block size 21845 for processor cache size 512 kB
Thu May 28 20:01:29 2009  commencing Lanczos iteration
Thu May 28 20:01:29 2009  memory use: 8.4 MB
Thu May 28 20:01:58 2009  lanczos halted after 883 iterations (dim = 55718)
Thu May 28 20:01:59 2009  recovered 16 nontrivial dependencies
Thu May 28 20:01:59 2009  prp41 factor: 27699069066082335842545359049149492434657
Thu May 28 20:01:59 2009  prp49 factor: 4515650990127709404839488960748228699356811540867
Thu May 28 20:01:59 2009  elapsed time 02:37:50
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and  binary)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)

19×10110-73

c101

name 名前Serge Batalov
date 日付May 28, 2009 09:58:44 UTC 2009 年 5 月 28 日 (木) 18 時 58 分 44 秒 (日本時間)
composite number 合成数
34872495926880040942521501477836754590113782610902400474116000214661062511721881330962317609600394267<101>
prime factors 素因数
188300054736491233677602258486606213<36>
185196419489526548303620514212561505070907195886173707296562972959<66>
factorization results 素因数分解の結果
SNFS difficulty: 111 digits.
Divisors found:
 r1=188300054736491233677602258486606213 (pp36)
 r2=185196419489526548303620514212561505070907195886173707296562972959 (pp66)
Version: Msieve v. 1.41
Total time: 0.46 hours.
Scaled time: 1.19 units (timescale=2.575).
Factorization parameters were as follows:
n: 34872495926880040942521501477836754590113782610902400474116000214661062511721881330962317609600394267
m: 10000000000000000000000
deg: 5
c5: 19
c0: -7
skew: 0.82
type: snfs
lss: 1
rlim: 500000
alim: 500000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [250000, 350001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 42818 x 43051
Total sieving time: 0.43 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,111.000,5,0,0,0,0,0,0,0,0,500000,500000,25,25,44,44,2.2,2.2,50000
total time: 0.46 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)

19×10113-73

c95

name 名前Sinkiti Sibata
date 日付May 28, 2009 13:35:13 UTC 2009 年 5 月 28 日 (木) 22 時 35 分 13 秒 (日本時間)
composite number 合成数
73993438036172912506392899516636791785351321648353676280690625853787679718172923974499827409637<95>
prime factors 素因数
364273749615784181999930257926974317<36>
203125913174411006540302087331278541353649937784127457423961<60>
factorization results 素因数分解の結果
Thu May 28 18:56:30 2009  Msieve v. 1.41
Thu May 28 18:56:31 2009  random seeds: 06c371f0 c3b8ef42
Thu May 28 18:56:31 2009  factoring 73993438036172912506392899516636791785351321648353676280690625853787679718172923974499827409637 (95 digits)
Thu May 28 18:56:31 2009  searching for 15-digit factors
Thu May 28 18:56:33 2009  commencing quadratic sieve (95-digit input)
Thu May 28 18:56:33 2009  using multiplier of 7
Thu May 28 18:56:33 2009  using 32kb Intel Core sieve core
Thu May 28 18:56:33 2009  sieve interval: 36 blocks of size 32768
Thu May 28 18:56:33 2009  processing polynomials in batches of 6
Thu May 28 18:56:33 2009  using a sieve bound of 2189221 (81176 primes)
Thu May 28 18:56:33 2009  using large prime bound of 328383150 (28 bits)
Thu May 28 18:56:33 2009  using double large prime bound of 2135430964341600 (43-51 bits)
Thu May 28 18:56:33 2009  using trial factoring cutoff of 51 bits
Thu May 28 18:56:33 2009  polynomial 'A' values have 12 factors
Thu May 28 22:25:59 2009  81333 relations (20466 full + 60867 combined from 1206902 partial), need 81272
Thu May 28 22:26:01 2009  begin with 1227368 relations
Thu May 28 22:26:02 2009  reduce to 209918 relations in 11 passes
Thu May 28 22:26:02 2009  attempting to read 209918 relations
Thu May 28 22:26:05 2009  recovered 209918 relations
Thu May 28 22:26:05 2009  recovered 192815 polynomials
Thu May 28 22:26:05 2009  attempting to build 81333 cycles
Thu May 28 22:26:06 2009  found 81333 cycles in 6 passes
Thu May 28 22:26:06 2009  distribution of cycle lengths:
Thu May 28 22:26:06 2009     length 1 : 20466
Thu May 28 22:26:06 2009     length 2 : 14388
Thu May 28 22:26:06 2009     length 3 : 13712
Thu May 28 22:26:06 2009     length 4 : 11051
Thu May 28 22:26:06 2009     length 5 : 8178
Thu May 28 22:26:06 2009     length 6 : 5546
Thu May 28 22:26:06 2009     length 7 : 3416
Thu May 28 22:26:06 2009     length 9+: 4576
Thu May 28 22:26:06 2009  largest cycle: 19 relations
Thu May 28 22:26:06 2009  matrix is 81176 x 81333 (22.4 MB) with weight 5559794 (68.36/col)
Thu May 28 22:26:06 2009  sparse part has weight 5559794 (68.36/col)
Thu May 28 22:26:07 2009  filtering completed in 4 passes
Thu May 28 22:26:07 2009  matrix is 77022 x 77086 (21.4 MB) with weight 5309405 (68.88/col)
Thu May 28 22:26:07 2009  sparse part has weight 5309405 (68.88/col)
Thu May 28 22:26:07 2009  saving the first 48 matrix rows for later
Thu May 28 22:26:08 2009  matrix is 76974 x 77086 (15.4 MB) with weight 4400031 (57.08/col)
Thu May 28 22:26:08 2009  sparse part has weight 3582618 (46.48/col)
Thu May 28 22:26:08 2009  matrix includes 64 packed rows
Thu May 28 22:26:08 2009  using block size 30834 for processor cache size 1024 kB
Thu May 28 22:26:09 2009  commencing Lanczos iteration
Thu May 28 22:26:09 2009  memory use: 13.7 MB
Thu May 28 22:26:53 2009  lanczos halted after 1219 iterations (dim = 76972)
Thu May 28 22:26:53 2009  recovered 17 nontrivial dependencies
Thu May 28 22:26:55 2009  prp36 factor: 364273749615784181999930257926974317
Thu May 28 22:26:55 2009  prp60 factor: 203125913174411006540302087331278541353649937784127457423961
Thu May 28 22:26:55 2009  elapsed time 03:30:24

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)

19×10119-73

c107

name 名前Sinkiti Sibata
date 日付May 28, 2009 14:30:54 UTC 2009 年 5 月 28 日 (木) 23 時 30 分 54 秒 (日本時間)
composite number 合成数
49771954688327260109155339961234952205510402352405246631726248886182137604135641201297364629821392490499357<107>
prime factors 素因数
7142565667777428842404199142177757024839466055246647<52>
6968358010744748481904859785034423037844326555299193931<55>
factorization results 素因数分解の結果
Number: 63331_119
N=49771954688327260109155339961234952205510402352405246631726248886182137604135641201297364629821392490499357
  ( 107 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=7142565667777428842404199142177757024839466055246647 (pp52)
 r2=6968358010744748481904859785034423037844326555299193931 (pp55)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 3.02 hours.
Scaled time: 1.43 units (timescale=0.473).
Factorization parameters were as follows:
name: 63331_119
n: 49771954688327260109155339961234952205510402352405246631726248886182137604135641201297364629821392490499357
m: 1000000000000000000000000
deg: 5
c5: 19
c0: -70
skew: 1.30
type: snfs
lss: 1
rlim: 740000
alim: 740000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 740000/740000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [370000, 670001)
Primes: RFBsize:59531, AFBsize:59488, largePrimes:1388071 encountered
Relations: rels:1389636, finalFF:174888
Max relations in full relation-set: 28
Initial matrix: 119084 x 174888 with sparse part having weight 8851867.
Pruned matrix : 98634 x 99293 with weight 3731877.
Total sieving time: 2.86 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,740000,740000,25,25,46,46,2.2,2.2,50000
total time: 3.02 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)

19×10124-73

c115

name 名前Sinkiti Sibata
date 日付May 28, 2009 20:10:36 UTC 2009 年 5 月 29 日 (金) 5 時 10 分 36 秒 (日本時間)
composite number 合成数
1223738708898438673158498521971862166326037441608479951609106141089519589487113261963145490831491374404224819885661<115>
prime factors 素因数
334097884150240049775907767539422981255259<42>
3662814902318079871210119531219746089941789043300847960174770283548307879<73>
factorization results 素因数分解の結果
Number: 63331_124
N=1223738708898438673158498521971862166326037441608479951609106141089519589487113261963145490831491374404224819885661
  ( 115 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=334097884150240049775907767539422981255259 (pp42)
 r2=3662814902318079871210119531219746089941789043300847960174770283548307879 (pp73)
Version: Msieve-1.40
Total time: 2.21 hours.
Scaled time: 4.28 units (timescale=1.939).
Factorization parameters were as follows:
name: 63331_124
n: 1223738708898438673158498521971862166326037441608479951609106141089519589487113261963145490831491374404224819885661
m: 10000000000000000000000000
deg: 5
c5: 19
c0: -70
skew: 1.30
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, 745001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 129222 x 129450
Total sieving time: 2.10 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.06 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: 2.21 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)

19×10126-73

c92

name 名前Robert Backstrom
date 日付May 28, 2009 12:17:03 UTC 2009 年 5 月 28 日 (木) 21 時 17 分 3 秒 (日本時間)
composite number 合成数
49035364295387863925479124276192463882986180905219291115366358148835194378188975727205288681<92>
prime factors 素因数
274896745903554277016688501088576610443<39>
178377390878943326425099144634565645197695200985423067<54>
factorization results 素因数分解の結果
Number: n
N=49035364295387863925479124276192463882986180905219291115366358148835194378188975727205288681
  ( 92 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=274896745903554277016688501088576610443 (pp39)
 r2=178377390878943326425099144634565645197695200985423067 (pp54)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.66 hours.
Scaled time: 3.02 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_6_3_125_1
n: 49035364295387863925479124276192463882986180905219291115366358148835194378188975727205288681
m: 10000000000000000000000000
deg: 5
c5: 190
c0: -7
skew: 0.52
type: snfs
lss: 1
rlim: 700000
alim: 700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved rational special-q in [350000, 550001)
Primes: RFBsize:56543, AFBsize:56408, largePrimes:6577217 encountered
Relations: rels:5810183, finalFF:200349
Max relations in full relation-set: 48
Initial matrix: 113018 x 200349 with sparse part having weight 28695026.
Pruned matrix : 99364 x 99993 with weight 9200613.
Total sieving time: 1.49 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.06 hours.
Total square root time: 0.02 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,127,5,0,0,0,0,0,0,0,0,700000,700000,28,28,56,56,2.5,2.5,50000
total time: 1.66 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)

19×10127-73

c127

name 名前Serge Batalov
date 日付May 28, 2009 09:29:03 UTC 2009 年 5 月 28 日 (木) 18 時 29 分 3 秒 (日本時間)
composite number 合成数
3725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843<127>
prime factors 素因数
12436519676849010829556240379784957<35>
804710243827567182357245316678847272239<39>
372258851965716799664238973288980795787307673603607441<54>
factorization results 素因数分解の結果
SNFS difficulty: 129 digits.
Divisors found:
 r1=12436519676849010829556240379784957 (pp35)
 r2=804710243827567182357245316678847272239 (pp39)
 r3=372258851965716799664238973288980795787307673603607441 (pp54)
Version: Msieve v. 1.41
Total time: 1.53 hours.
Scaled time: 4.15 units (timescale=2.712).
Factorization parameters were as follows:
n: 3725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843
m: 20000000000000000000000000
deg: 5
c5: 475
c0: -56
skew: 0.65
type: snfs
lss: 1
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [500000, 950001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 135989 x 136232
Total sieving time: 1.39 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,129.000,5,0,0,0,0,0,0,0,0,1000000,1000000,26,26,47,47,2.3,2.3,50000
total time: 1.53 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)

19×10133-73

c128

name 名前Robert Backstrom
date 日付May 29, 2009 00:13:10 UTC 2009 年 5 月 29 日 (金) 9 時 13 分 10 秒 (日本時間)
composite number 合成数
76712536726126957633280966933262919299622614694326784908948275158986732364898119694974803969187400248467868953992261723795300267<128>
prime factors 素因数
276917410651474473427328257365491996984371079112664023186244621<63>
277023162052734203341720293109298019669320818393106271797699685527<66>
factorization results 素因数分解の結果
Number: n
N=76712536726126957633280966933262919299622614694326784908948275158986732364898119694974803969187400248467868953992261723795300267
  ( 128 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=276917410651474473427328257365491996984371079112664023186244621 (pp63)
 r2=277023162052734203341720293109298019669320818393106271797699685527 (pp66)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 3.98 hours.
Scaled time: 7.28 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_6_3_132_1
n: 76712536726126957633280966933262919299622614694326784908948275158986732364898119694974803969187400248467868953992261723795300267
m: 500000000000000000000000000
deg: 5
c5: 152
c0: -175
skew: 1.03
type: snfs
lss: 1
rlim: 1280000
alim: 1280000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.3
alambda: 2.3
qintsize: 100000
Factor base limits: 1280000/1280000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved rational special-q in [640000, 1340001)
Primes: RFBsize:98610, AFBsize:98660, largePrimes:5291294 encountered
Relations: rels:4679338, finalFF:255913
Max relations in full relation-set: 48
Initial matrix: 197337 x 255913 with sparse part having weight 27792419.
Pruned matrix : 182759 x 183809 with weight 14545692.
Total sieving time: 3.54 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.25 hours.
Total square root time: 0.12 hours, sqrts: 4.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1280000,1280000,28,28,56,56,2.3,2.3,75000
total time: 3.98 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)

19×10134-73

c102

name 名前Andreas Tete
date 日付May 29, 2009 12:38:23 UTC 2009 年 5 月 29 日 (金) 21 時 38 分 23 秒 (日本時間)
composite number 合成数
124380583225005339635170276374626881553544663883508895938724024594535921167555826580114650203277087379<102>
prime factors 素因数
43633958034178706867946687302128801578332407<44>
2850545511538911509758997306144163361132986931822475337797<58>
factorization results 素因数分解の結果
Fri May 29 01:46:11 2009  Msieve v. 1.41
Fri May 29 01:46:11 2009  random seeds: 7a0386d4 e2e4a5c6
Fri May 29 01:46:11 2009  factoring 124380583225005339635170276374626881553544663883508895938724024594535921167555826580114650203277087379 (102 digits)
Fri May 29 01:46:12 2009  searching for 15-digit factors
Fri May 29 01:46:13 2009  commencing number field sieve (102-digit input)
Fri May 29 01:46:13 2009  R0: -41927590673415626285
Fri May 29 01:46:13 2009  R1:  31763566207
Fri May 29 01:46:13 2009  A0:  36772747658165768275752
Fri May 29 01:46:13 2009  A1: -174000147123189357426
Fri May 29 01:46:13 2009  A2: -11206915547828719
Fri May 29 01:46:13 2009  A3:  150414980036
Fri May 29 01:46:13 2009  A4: -53039818
Fri May 29 01:46:13 2009  A5:  960
Fri May 29 01:46:13 2009  skew 18483.41, size 1.224183e-009, alpha -4.909780, combined = 2.906612e-009
Fri May 29 01:46:14 2009  
Fri May 29 01:46:14 2009  commencing relation filtering
Fri May 29 01:46:14 2009  commencing duplicate removal, pass 1
Fri May 29 01:47:30 2009  found 392433 hash collisions in 4779022 relations
Fri May 29 01:47:43 2009  added 30939 free relations
Fri May 29 01:47:43 2009  commencing duplicate removal, pass 2
Fri May 29 01:48:03 2009  found 376855 duplicates and 4433105 unique relations
Fri May 29 01:48:03 2009  memory use: 40.3 MB
Fri May 29 01:48:03 2009  reading rational ideals above 2031616
Fri May 29 01:48:03 2009  reading algebraic ideals above 2031616
Fri May 29 01:48:03 2009  commencing singleton removal, pass 1
Fri May 29 01:48:49 2009  relations with 0 large ideals: 80551
Fri May 29 01:48:49 2009  relations with 1 large ideals: 590268
Fri May 29 01:48:49 2009  relations with 2 large ideals: 1517218
Fri May 29 01:48:49 2009  relations with 3 large ideals: 1590960
Fri May 29 01:48:49 2009  relations with 4 large ideals: 586066
Fri May 29 01:48:49 2009  relations with 5 large ideals: 38047
Fri May 29 01:48:49 2009  relations with 6 large ideals: 29992
Fri May 29 01:48:49 2009  relations with 7+ large ideals: 3
Fri May 29 01:48:49 2009  4433105 relations and about 4216507 large ideals
Fri May 29 01:48:49 2009  commencing singleton removal, pass 2
Fri May 29 01:49:36 2009  found 1920217 singletons
Fri May 29 01:49:36 2009  current dataset: 2512888 relations and about 1933737 large ideals
Fri May 29 01:49:36 2009  commencing singleton removal, pass 3
Fri May 29 01:50:12 2009  found 390516 singletons
Fri May 29 01:50:12 2009  current dataset: 2122372 relations and about 1520986 large ideals
Fri May 29 01:50:12 2009  commencing singleton removal, final pass
Fri May 29 01:50:53 2009  memory use: 34.5 MB
Fri May 29 01:50:53 2009  commencing in-memory singleton removal
Fri May 29 01:50:53 2009  begin with 2122372 relations and 1562809 unique ideals
Fri May 29 01:50:55 2009  reduce to 1898971 relations and 1334953 ideals in 10 passes
Fri May 29 01:50:55 2009  max relations containing the same ideal: 67
Fri May 29 01:50:55 2009  reading rational ideals above 100000
Fri May 29 01:50:55 2009  reading algebraic ideals above 100000
Fri May 29 01:50:55 2009  commencing singleton removal, final pass
Fri May 29 01:51:43 2009  keeping 1538216 ideals with weight <= 25, new excess is 126334
Fri May 29 01:51:46 2009  memory use: 47.3 MB
Fri May 29 01:51:46 2009  commencing in-memory singleton removal
Fri May 29 01:51:46 2009  begin with 1903679 relations and 1538216 unique ideals
Fri May 29 01:51:48 2009  reduce to 1897608 relations and 1509334 ideals in 8 passes
Fri May 29 01:51:48 2009  max relations containing the same ideal: 25
Fri May 29 01:51:49 2009  removing 522496 relations and 401633 ideals in 120863 cliques
Fri May 29 01:51:49 2009  commencing in-memory singleton removal
Fri May 29 01:51:49 2009  begin with 1375112 relations and 1509334 unique ideals
Fri May 29 01:51:51 2009  reduce to 1297128 relations and 1024266 ideals in 8 passes
Fri May 29 01:51:51 2009  max relations containing the same ideal: 25
Fri May 29 01:51:51 2009  removing 397287 relations and 276424 ideals in 120863 cliques
Fri May 29 01:51:51 2009  commencing in-memory singleton removal
Fri May 29 01:51:52 2009  begin with 899841 relations and 1024266 unique ideals
Fri May 29 01:51:52 2009  reduce to 824971 relations and 666110 ideals in 8 passes
Fri May 29 01:51:52 2009  max relations containing the same ideal: 21
Fri May 29 01:51:53 2009  removing 67837 relations and 55524 ideals in 12313 cliques
Fri May 29 01:51:53 2009  commencing in-memory singleton removal
Fri May 29 01:51:53 2009  begin with 757134 relations and 666110 unique ideals
Fri May 29 01:51:53 2009  reduce to 753786 relations and 607197 ideals in 6 passes
Fri May 29 01:51:53 2009  max relations containing the same ideal: 21
Fri May 29 01:51:53 2009  relations with 0 large ideals: 11066
Fri May 29 01:51:53 2009  relations with 1 large ideals: 73648
Fri May 29 01:51:53 2009  relations with 2 large ideals: 190050
Fri May 29 01:51:53 2009  relations with 3 large ideals: 242532
Fri May 29 01:51:53 2009  relations with 4 large ideals: 162951
Fri May 29 01:51:53 2009  relations with 5 large ideals: 59782
Fri May 29 01:51:53 2009  relations with 6 large ideals: 12446
Fri May 29 01:51:53 2009  relations with 7+ large ideals: 1311
Fri May 29 01:51:53 2009  commencing 2-way merge
Fri May 29 01:51:53 2009  reduce to 487336 relation sets and 340747 unique ideals
Fri May 29 01:51:53 2009  commencing full merge
Fri May 29 01:51:59 2009  memory use: 25.5 MB
Fri May 29 01:51:59 2009  found 230072 cycles, need 210947
Fri May 29 01:51:59 2009  weight of 210947 cycles is about 14775600 (70.04/cycle)
Fri May 29 01:51:59 2009  distribution of cycle lengths:
Fri May 29 01:51:59 2009  1 relations: 18697
Fri May 29 01:51:59 2009  2 relations: 18637
Fri May 29 01:51:59 2009  3 relations: 19991
Fri May 29 01:51:59 2009  4 relations: 19889
Fri May 29 01:51:59 2009  5 relations: 19620
Fri May 29 01:51:59 2009  6 relations: 18220
Fri May 29 01:51:59 2009  7 relations: 16848
Fri May 29 01:51:59 2009  8 relations: 15336
Fri May 29 01:51:59 2009  9 relations: 13673
Fri May 29 01:51:59 2009  10+ relations: 50036
Fri May 29 01:51:59 2009  heaviest cycle: 18 relations
Fri May 29 01:51:59 2009  commencing cycle optimization
Fri May 29 01:51:59 2009  start with 1374954 relations
Fri May 29 01:52:03 2009  pruned 52307 relations
Fri May 29 01:52:03 2009  memory use: 33.9 MB
Fri May 29 01:52:03 2009  distribution of cycle lengths:
Fri May 29 01:52:03 2009  1 relations: 18697
Fri May 29 01:52:03 2009  2 relations: 19181
Fri May 29 01:52:03 2009  3 relations: 21002
Fri May 29 01:52:03 2009  4 relations: 20738
Fri May 29 01:52:03 2009  5 relations: 20663
Fri May 29 01:52:03 2009  6 relations: 19137
Fri May 29 01:52:03 2009  7 relations: 17544
Fri May 29 01:52:03 2009  8 relations: 15854
Fri May 29 01:52:03 2009  9 relations: 13910
Fri May 29 01:52:03 2009  10+ relations: 44221
Fri May 29 01:52:03 2009  heaviest cycle: 18 relations
Fri May 29 01:52:03 2009  RelProcTime: 249
Fri May 29 01:52:03 2009  
Fri May 29 01:52:03 2009  commencing linear algebra
Fri May 29 01:52:03 2009  read 210947 cycles
Fri May 29 01:52:04 2009  cycles contain 673540 unique relations
Fri May 29 01:52:25 2009  read 673540 relations
Fri May 29 01:52:26 2009  using 20 quadratic characters above 67108290
Fri May 29 01:52:30 2009  building initial matrix
Fri May 29 01:52:40 2009  memory use: 75.2 MB
Fri May 29 01:52:40 2009  read 210947 cycles
Fri May 29 01:52:40 2009  matrix is 210749 x 210947 (58.5 MB) with weight 19798822 (93.86/col)
Fri May 29 01:52:40 2009  sparse part has weight 13848264 (65.65/col)
Fri May 29 01:52:43 2009  filtering completed in 2 passes
Fri May 29 01:52:43 2009  matrix is 210230 x 210428 (58.4 MB) with weight 19766738 (93.94/col)
Fri May 29 01:52:43 2009  sparse part has weight 13831777 (65.73/col)
Fri May 29 01:52:44 2009  read 210428 cycles
Fri May 29 01:52:45 2009  matrix is 210230 x 210428 (58.4 MB) with weight 19766738 (93.94/col)
Fri May 29 01:52:45 2009  sparse part has weight 13831777 (65.73/col)
Fri May 29 01:52:45 2009  saving the first 48 matrix rows for later
Fri May 29 01:52:45 2009  matrix is 210182 x 210428 (55.9 MB) with weight 15466001 (73.50/col)
Fri May 29 01:52:45 2009  sparse part has weight 13378511 (63.58/col)
Fri May 29 01:52:45 2009  matrix includes 64 packed rows
Fri May 29 01:52:45 2009  using block size 65536 for processor cache size 3072 kB
Fri May 29 01:52:47 2009  commencing Lanczos iteration
Fri May 29 01:52:47 2009  memory use: 53.9 MB
Fri May 29 01:58:49 2009  lanczos halted after 3325 iterations (dim = 210182)
Fri May 29 01:58:50 2009  recovered 32 nontrivial dependencies
Fri May 29 01:58:50 2009  BLanczosTime: 407
Fri May 29 01:58:50 2009  
Fri May 29 01:58:50 2009  commencing square root phase
Fri May 29 01:58:50 2009  reading relations for dependency 1
Fri May 29 01:58:50 2009  read 105203 cycles
Fri May 29 01:58:50 2009  cycles contain 423488 unique relations
Fri May 29 01:58:56 2009  read 423488 relations
Fri May 29 01:58:58 2009  multiplying 336942 relations
Fri May 29 01:59:40 2009  multiply complete, coefficients have about 12.53 million bits
Fri May 29 01:59:40 2009  initial square root is modulo 15873877
Fri May 29 02:00:39 2009  sqrtTime: 109
Fri May 29 02:00:39 2009  prp44 factor: 43633958034178706867946687302128801578332407
Fri May 29 02:00:39 2009  prp58 factor: 2850545511538911509758997306144163361132986931822475337797
Fri May 29 02:00:39 2009  elapsed time 00:14:28
total time ~ 6 hours
software ソフトウェア
Msieve v. 1.41 / GNFS / Msieve v. 1.41
execution environment 実行環境
Intel Core 2 Duo T8100 / Windows Vista 32bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)
1000Andreas TeteMay 28, 2009 16:59:06 UTC 2009 年 5 月 29 日 (金) 1 時 59 分 6 秒 (日本時間)

19×10141-73

c114

name 名前Sinkiti Sibata
date 日付May 29, 2009 03:26:05 UTC 2009 年 5 月 29 日 (金) 12 時 26 分 5 秒 (日本時間)
composite number 合成数
122373674801224129713801839644924727291412501484302854678154146032811270477033116336772352870157465546636307734079<114>
prime factors 素因数
32436080587219098362111053786648781396373526097<47>
3772763927878618428978561857091666143636833194970166981744931256207<67>
factorization results 素因数分解の結果
Number: 63331_141
N=122373674801224129713801839644924727291412501484302854678154146032811270477033116336772352870157465546636307734079
  ( 114 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=32436080587219098362111053786648781396373526097 (pp47)
 r2=3772763927878618428978561857091666143636833194970166981744931256207 (pp67)
Version: Msieve-1.40
Total time: 6.64 hours.
Scaled time: 13.90 units (timescale=2.092).
Factorization parameters were as follows:
name: 63331_141
n: 122373674801224129713801839644924727291412501484302854678154146032811270477033116336772352870157465546636307734079
m: 20000000000000000000000000000
deg: 5
c5: 95
c0: -112
skew: 1.03
type: snfs
lss: 1
rlim: 1720000
alim: 1720000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1720000/1720000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [860000, 1660001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 224336 x 224584
Total sieving time: 6.38 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,143.000,5,0,0,0,0,0,0,0,0,1720000,1720000,26,26,48,48,2.3,2.3,100000
total time: 6.64 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)

19×10143-73

c119

name 名前Sinkiti Sibata
date 日付May 29, 2009 15:15:19 UTC 2009 年 5 月 30 日 (土) 0 時 15 分 19 秒 (日本時間)
composite number 合成数
10837037401799762698529461554216170185290795964322502951936154198933444977066459208793255063177504764001758971425638817<119>
prime factors 素因数
6064675005431407597682140703583328855985936884427<49>
1786911481999335182645866206956164102877404014783178509521822170053571<70>
factorization results 素因数分解の結果
Number: 63331_143
N=10837037401799762698529461554216170185290795964322502951936154198933444977066459208793255063177504764001758971425638817
  ( 119 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=6064675005431407597682140703583328855985936884427 (pp49)
 r2=1786911481999335182645866206956164102877404014783178509521822170053571 (pp70)
Version: Msieve-1.40
Total time: 11.21 hours.
Scaled time: 23.45 units (timescale=2.092).
Factorization parameters were as follows:
name: 63331_143
n: 10837037401799762698529461554216170185290795964322502951936154198933444977066459208793255063177504764001758971425638817
m: 50000000000000000000000000000
deg: 5
c5: 152
c0: -175
skew: 1.03
type: snfs
lss: 1
rlim: 1880000
alim: 1880000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1880000/1880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [940000, 2340001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 324522 x 324752
Total sieving time: 10.66 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.35 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,145.000,5,0,0,0,0,0,0,0,0,1880000,1880000,26,26,49,49,2.3,2.3,100000
total time: 11.21 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)

19×10146-73

c147

name 名前Sinkiti Sibata
date 日付May 29, 2009 10:44:09 UTC 2009 年 5 月 29 日 (金) 19 時 44 分 9 秒 (日本時間)
composite number 合成数
633333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331<147>
prime factors 素因数
77171271388291014287393251838556984620187665647<47>
8206853689719400760471490320870429786719891558871093340652371961062720153762369224195693688837201373<100>
factorization results 素因数分解の結果
Number: 63331_146
N=633333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331
  ( 147 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=77171271388291014287393251838556984620187665647 (pp47)
 r2=8206853689719400760471490320870429786719891558871093340652371961062720153762369224195693688837201373 (pp100)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 17.57 hours.
Scaled time: 7.56 units (timescale=0.430).
Factorization parameters were as follows:
name: 63331_146
n: 633333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331
m: 200000000000000000000000000000
deg: 5
c5: 95
c0: -112
skew: 1.03
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2250001)
Primes: RFBsize:155805, AFBsize:155117, largePrimes:4100927 encountered
Relations: rels:4170193, finalFF:377449
Max relations in full relation-set: 28
Initial matrix: 310989 x 377449 with sparse part having weight 32749524.
Pruned matrix : 283655 x 285273 with weight 21193066.
Total sieving time: 14.85 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.41 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 17.57 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)

19×10155-73

c110

name 名前Sinkiti Sibata
date 日付May 31, 2009 02:57:26 UTC 2009 年 5 月 31 日 (日) 11 時 57 分 26 秒 (日本時間)
composite number 合成数
79467142906369303749636744937281745129764539117988920683892994469122391287838213736204396907027827898561906751<110>
prime factors 素因数
5281247843943756323575345174974322075624622245631<49>
15047039119267587349572218682986674068056537222113859655843521<62>
factorization results 素因数分解の結果
Number: 63331_155
N=79467142906369303749636744937281745129764539117988920683892994469122391287838213736204396907027827898561906751
  ( 110 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=5281247843943756323575345174974322075624622245631 (pp49)
 r2=15047039119267587349572218682986674068056537222113859655843521 (pp62)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 36.68 hours.
Scaled time: 17.31 units (timescale=0.472).
Factorization parameters were as follows:
name: 63331_155
n: 79467142906369303749636744937281745129764539117988920683892994469122391287838213736204396907027827898561906751
m: 10000000000000000000000000000000
deg: 5
c5: 19
c0: -7
skew: 0.82
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2200001)
Primes: RFBsize:203362, AFBsize:203482, largePrimes:7899338 encountered
Relations: rels:7979074, finalFF:587339
Max relations in full relation-set: 28
Initial matrix: 406909 x 587339 with sparse part having weight 60082132.
Pruned matrix : 326722 x 328820 with weight 32423960.
Total sieving time: 32.08 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 4.14 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 36.68 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)

19×10156-73

c105

name 名前Andreas Tete
date 日付May 28, 2009 19:35:18 UTC 2009 年 5 月 29 日 (金) 4 時 35 分 18 秒 (日本時間)
composite number 合成数
119089576547899731667968661832791318496358068445652771842006055305669386843251772952406370746771587773503<105>
prime factors 素因数
42922832558351566227042018293831<32>
2774504138001681732261294798409783710382595552789039859654944907699312713<73>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1091934915
Step 1 took 8814ms
Step 2 took 4103ms
********** Factor found in step 2: 42922832558351566227042018293831
Found probable prime factor of 32 digits: 42922832558351566227042018293831
Probable prime cofactor 2774504138001681732261294798409783710382595552789039859654944907699312713 has 73 digits
software ソフトウェア
GMP-ECM 6.2.3
execution environment 実行環境
Intel Core 2 Duo T8100 / Windows Vista 32bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)

19×10158-73

c90

name 名前Sinkiti Sibata
date 日付May 28, 2009 09:53:44 UTC 2009 年 5 月 28 日 (木) 18 時 53 分 44 秒 (日本時間)
composite number 合成数
504950374865142600275495635504678889561884596942536208080854606867393688609203766338447091<90>
prime factors 素因数
5576034521395138710161741431<28>
90557254071447654817328327205076133848394476380414258694325861<62>
factorization results 素因数分解の結果
Thu May 28 17:28:03 2009  Msieve v. 1.41
Thu May 28 17:28:03 2009  random seeds: f671fa40 5246c742
Thu May 28 17:28:03 2009  factoring 504950374865142600275495635504678889561884596942536208080854606867393688609203766338447091 (90 digits)
Thu May 28 17:28:04 2009  searching for 15-digit factors
Thu May 28 17:28:06 2009  commencing quadratic sieve (90-digit input)
Thu May 28 17:28:06 2009  using multiplier of 3
Thu May 28 17:28:06 2009  using 32kb Intel Core sieve core
Thu May 28 17:28:06 2009  sieve interval: 36 blocks of size 32768
Thu May 28 17:28:06 2009  processing polynomials in batches of 6
Thu May 28 17:28:06 2009  using a sieve bound of 1584931 (59873 primes)
Thu May 28 17:28:06 2009  using large prime bound of 126794480 (26 bits)
Thu May 28 17:28:06 2009  using double large prime bound of 385106280791040 (42-49 bits)
Thu May 28 17:28:06 2009  using trial factoring cutoff of 49 bits
Thu May 28 17:28:06 2009  polynomial 'A' values have 12 factors
Thu May 28 18:45:55 2009  60302 relations (15971 full + 44331 combined from 641278 partial), need 59969
Thu May 28 18:45:56 2009  begin with 657249 relations
Thu May 28 18:45:56 2009  reduce to 147005 relations in 11 passes
Thu May 28 18:45:56 2009  attempting to read 147005 relations
Thu May 28 18:45:58 2009  recovered 147005 relations
Thu May 28 18:45:58 2009  recovered 126900 polynomials
Thu May 28 18:45:58 2009  attempting to build 60302 cycles
Thu May 28 18:45:58 2009  found 60302 cycles in 6 passes
Thu May 28 18:45:58 2009  distribution of cycle lengths:
Thu May 28 18:45:58 2009     length 1 : 15971
Thu May 28 18:45:58 2009     length 2 : 11649
Thu May 28 18:45:58 2009     length 3 : 10712
Thu May 28 18:45:58 2009     length 4 : 8110
Thu May 28 18:45:58 2009     length 5 : 5770
Thu May 28 18:45:58 2009     length 6 : 3416
Thu May 28 18:45:58 2009     length 7 : 2145
Thu May 28 18:45:58 2009     length 9+: 2529
Thu May 28 18:45:58 2009  largest cycle: 20 relations
Thu May 28 18:45:59 2009  matrix is 59873 x 60302 (14.8 MB) with weight 3649006 (60.51/col)
Thu May 28 18:45:59 2009  sparse part has weight 3649006 (60.51/col)
Thu May 28 18:46:00 2009  filtering completed in 3 passes
Thu May 28 18:46:00 2009  matrix is 55912 x 55976 (13.8 MB) with weight 3395133 (60.65/col)
Thu May 28 18:46:00 2009  sparse part has weight 3395133 (60.65/col)
Thu May 28 18:46:00 2009  saving the first 48 matrix rows for later
Thu May 28 18:46:00 2009  matrix is 55864 x 55976 (9.1 MB) with weight 2710920 (48.43/col)
Thu May 28 18:46:00 2009  sparse part has weight 2037212 (36.39/col)
Thu May 28 18:46:00 2009  matrix includes 64 packed rows
Thu May 28 18:46:00 2009  using block size 22390 for processor cache size 1024 kB
Thu May 28 18:46:00 2009  commencing Lanczos iteration
Thu May 28 18:46:00 2009  memory use: 8.6 MB
Thu May 28 18:46:19 2009  lanczos halted after 884 iterations (dim = 55861)
Thu May 28 18:46:19 2009  recovered 16 nontrivial dependencies
Thu May 28 18:46:20 2009  prp28 factor: 5576034521395138710161741431
Thu May 28 18:46:20 2009  prp62 factor: 90557254071447654817328327205076133848394476380414258694325861
Thu May 28 18:46:20 2009  elapsed time 01:18:17

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)

19×10160-73

c129

name 名前Robert Backstrom
date 日付May 30, 2009 14:05:40 UTC 2009 年 5 月 30 日 (土) 23 時 5 分 40 秒 (日本時間)
composite number 合成数
389983821050135524992495811598954671852428778933960144116705863669289820317650361573801619260957749190958138592224628970977535193<129>
prime factors 素因数
192953010834035420920565005161094023397748898317016682693703<60>
2021133639555239274004216421272326134198633923821597116449982793956831<70>
factorization results 素因数分解の結果
Number: n
N=389983821050135524992495811598954671852428778933960144116705863669289820317650361573801619260957749190958138592224628970977535193
  ( 129 digits)
SNFS difficulty: 161 digits.
Divisors found:

Sat May 30 17:51:49 2009  prp60 factor: 192953010834035420920565005161094023397748898317016682693703
Sat May 30 17:51:49 2009  prp70 factor: 2021133639555239274004216421272326134198633923821597116449982793956831
Sat May 30 17:51:49 2009  elapsed time 01:13:25 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 19.86 hours.
Scaled time: 36.20 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_6_3_159_1
n: 389983821050135524992495811598954671852428778933960144116705863669289820317650361573801619260957749190958138592224628970977535193
m: 100000000000000000000000000000000
deg: 5
c5: 19
c0: -7
skew: 0.82
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.3
alambda: 2.3
qintsize: 100000
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1700000, 2802749)
Primes: RFBsize:243539, AFBsize:243539, largePrimes:9127528 encountered
Relations: rels:8394159, finalFF:515146
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 677135 hash collisions in 8972024 relations
Msieve: matrix is 526245 x 526493 (141.7 MB)

Total sieving time: 19.72 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,28,28,56,56,2.3,2.3,100000
total time: 19.86 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)

19×10163-73

c131

name 名前Robert Backstrom
date 日付June 2, 2009 03:04:00 UTC 2009 年 6 月 2 日 (火) 12 時 4 分 0 秒 (日本時間)
composite number 合成数
41445385738662417611442928814986924314473384202452265032125295618316543566091246353416032258371712530792430821849165330461369312151<131>
prime factors 素因数
375054753555520893395695609169760004067579<42>
110504893874187591596413409495017682935672393337348376387307423814825042765064498801134869<90>
factorization results 素因数分解の結果
Number: n
N=41445385738662417611442928814986924314473384202452265032125295618316543566091246353416032258371712530792430821849165330461369312151
  ( 131 digits)
SNFS difficulty: 165 digits.
Divisors found:

Tue Jun 02 12:58:47 2009  prp42 factor: 375054753555520893395695609169760004067579
Tue Jun 02 12:58:47 2009  prp90 factor: 110504893874187591596413409495017682935672393337348376387307423814825042765064498801134869
Tue Jun 02 12:58:47 2009  elapsed time 01:07:01 (Msieve 1.39 - dependency 3)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 39.96 hours.
Scaled time: 105.85 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_6_3_162_1
n: 41445385738662417611442928814986924314473384202452265032125295618316543566091246353416032258371712530792430821849165330461369312151
m: 500000000000000000000000000000000
deg: 5
c5: 152
c0: -175
skew: 1.03
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2000000, 4425397)
Primes: RFBsize:283146, AFBsize:283092, largePrimes:15709237 encountered
Relations: rels:15287211, finalFF:613633
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1801663 hash collisions in 16935383 relations
Msieve: matrix is 712265 x 712513 (188.5 MB)

Total sieving time: 39.44 hours.
Total relation processing time: 0.51 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4000000,4000000,28,28,56,56,2.4,2.4,100000
total time: 39.96 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)

19×10164-73

c163

name 名前Robert Backstrom
date 日付May 30, 2009 15:23:36 UTC 2009 年 5 月 31 日 (日) 0 時 23 分 36 秒 (日本時間)
composite number 合成数
1215611004478566858605246321177223288547664747280870121561100447856685860524632117722328854766474728087012156110044785668586052463211772232885476647472808701215611<163>
prime factors 素因数
1030395146901575232482318153521<31>
1179752261192165436937509834268451367995427496483506345869434991137876794024756627575257376550528314299971500543436800664584942621291<133>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 1215611004478566858605246321177223288547664747280870121561100447856685860524632117722328854766474728087012156110044785668586052463211772232885476647472808701215611 (163 digits)
Using B1=910000, B2=871204962, polynomial Dickson(3), sigma=3339709975
Step 1 took 11609ms
Step 2 took 5078ms
********** Factor found in step 2: 1030395146901575232482318153521
Found probable prime factor of 31 digits: 1030395146901575232482318153521
Probable prime cofactor 1179752261192165436937509834268451367995427496483506345869434991137876794024756627575257376550528314299971500543436800664584942621291 has 133 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)

19×10165-73

c156

name 名前Robert Backstrom
date 日付May 30, 2009 01:28:12 UTC 2009 年 5 月 30 日 (土) 10 時 28 分 12 秒 (日本時間)
composite number 合成数
490054224157122952020527174892280454289193034077464070194656644395229342441867615754187379077013278470130800453699763035113001004263659492519477035103205233<156>
prime factors 素因数
1585869221747468828672050826992090487<37>
309013011562915854221734443449651727484814802076522487369928457645392098079175692205271336122167806548220047231911529559<120>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 490054224157122952020527174892280454289193034077464070194656644395229342441867615754187379077013278470130800453699763035113001004263659492519477035103205233 (156 digits)
Using B1=1216000, B2=1426326730, polynomial Dickson(6), sigma=900906112
Step 1 took 20670ms
Step 2 took 7519ms
********** Factor found in step 2: 1585869221747468828672050826992090487
Found probable prime factor of 37 digits: 1585869221747468828672050826992090487
Probable prime cofactor 309013011562915854221734443449651727484814802076522487369928457645392098079175692205271336122167806548220047231911529559 has 120 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)

19×10166-73

c155

name 名前Robert Backstrom
date 日付June 3, 2009 05:24:37 UTC 2009 年 6 月 3 日 (水) 14 時 24 分 37 秒 (日本時間)
composite number 合成数
50618000586363942762203374279640780451317566357735062091510191730164175208514686857624038716426133302249351141792345827911123123457306830339243153661406047<155>
prime factors 素因数
5222677376389994113737654403622761109617<40>
9691963898668385579244490463221708208315417143422065550154610103602175046798755781909933417277472713444234030147791<115>
factorization results 素因数分解の結果
Number: n
N=50618000586363942762203374279640780451317566357735062091510191730164175208514686857624038716426133302249351141792345827911123123457306830339243153661406047
  ( 155 digits)
SNFS difficulty: 168 digits.
Divisors found:

Wed Jun 03 10:22:45 2009  prp40 factor: 5222677376389994113737654403622761109617
Wed Jun 03 10:22:45 2009  prp115 factor: 9691963898668385579244490463221708208315417143422065550154610103602175046798755781909933417277472713444234030147791
Wed Jun 03 10:22:45 2009  elapsed time 01:10:24 (Msieve 1.39 - dependency 3)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 34.34 hours.
Scaled time: 90.96 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_6_3_165_1
n: 50618000586363942762203374279640780451317566357735062091510191730164175208514686857624038716426133302249351141792345827911123123457306830339243153661406047
m: 2000000000000000000000000000000000
deg: 5
c5: 95
c0: -112
skew: 1.03
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2300000, 4218517)
Primes: RFBsize:322441, AFBsize:321861, largePrimes:15963971 encountered
Relations: rels:15425943, finalFF:635132
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1491550 hash collisions in 16716161 relations
Msieve: matrix is 728875 x 729123 (196.3 MB)

Total sieving time: 33.78 hours.
Total relation processing time: 0.55 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4600000,4600000,28,28,56,56,2.4,2.4,100000
total time: 34.34 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)

19×10168-73

c140

name 名前Robert Backstrom
date 日付June 8, 2009 23:47:45 UTC 2009 年 6 月 9 日 (火) 8 時 47 分 45 秒 (日本時間)
composite number 合成数
70524781078454483013796349470455628281280408219714768823579374956912502233135840477646284348677885337018782934159342461747464081084903832357<140>
prime factors 素因数
241612742823526534650909688816909<33>
6233028353893749389383907598437941819707581<43>
46829854524857710207917680811999264463722603395805706199658829933<65>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 70524781078454483013796349470455628281280408219714768823579374956912502233135840477646284348677885337018782934159342461747464081084903832357 (140 digits)
Using B1=1046000, B2=1045563762, polynomial Dickson(6), sigma=4279458543
Step 1 took 14398ms
Step 2 took 6069ms
********** Factor found in step 2: 241612742823526534650909688816909
Found probable prime factor of 33 digits: 241612742823526534650909688816909
Composite cofactor 291891811062157604903137230387297274730508932417381545453883499198383081542958422133134293492730462669822073 has 108 digits


Number: n
N=291891811062157604903137230387297274730508932417381545453883499198383081542958422133134293492730462669822073
  ( 108 digits)
Divisors found:
 r1=6233028353893749389383907598437941819707581 (pp43)
 r2=46829854524857710207917680811999264463722603395805706199658829933 (pp65)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 10.60 hours.
Scaled time: 27.41 units (timescale=2.585).
Factorization parameters were as follows:
n: 291891811062157604903137230387297274730508932417381545453883499198383081542958422133134293492730462669822073
name: KA_6_3_167_1
Y0: -561705156206669121855
Y1:  197076323297
c0:  203638276723910946303732994
c1:  11325872543009262796133
c2: -569264334750724044
c3: -25179488545454
c4:  320512286
c5:  5220
skew: 30973.96
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [1250000, 2400001)
Primes: RFBsize:183072, AFBsize:183947, largePrimes:15902600 encountered
Relations: rels:14110942, finalFF:413269
Max relations in full relation-set: 28
Initial matrix: 367098 x 413269 with sparse part having weight 38019278.
Pruned matrix : 336788 x 338687 with weight 28286917.
Total sieving time: 9.14 hours.
Total relation processing time: 0.52 hours.
Matrix solve time: 0.52 hours.
Total square root time: 0.42 hours, sqrts: 2.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,28,28,56,56,2.6,2.6,150000
total time: 10.60 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)

19×10169-73

c170

name 名前Dmitry Domanov
date 日付June 2, 2009 08:30:01 UTC 2009 年 6 月 2 日 (火) 17 時 30 分 1 秒 (日本時間)
composite number 合成数
63333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331<170>
prime factors 素因数
454291383041177479146316118799864631194049<42>
139411258275160216175498607426380186850484941194923576476093434398091509434652722681972425582202165365944458263133700328849433619<129>
factorization results 素因数分解の結果
Sieving in [2400000;5700000] took about 20hours on Xeon E5310 @ 4 cores

Mon Jun 01 23:57:37 2009  Msieve v. 1.41
Mon Jun 01 23:57:37 2009  random seeds: d61aa0a0 238188c0
Mon Jun 01 23:57:37 2009  factoring 63333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331 (170 digits)
Mon Jun 01 23:57:39 2009  searching for 15-digit factors
Mon Jun 01 23:57:41 2009  commencing number field sieve (170-digit input)
Mon Jun 01 23:57:41 2009  R0: -10000000000000000000000000000000000
Mon Jun 01 23:57:41 2009  R1:  1
Mon Jun 01 23:57:41 2009  A0: -70
Mon Jun 01 23:57:41 2009  A1:  0
Mon Jun 01 23:57:41 2009  A2:  0
Mon Jun 01 23:57:41 2009  A3:  0
Mon Jun 01 23:57:41 2009  A4:  0
Mon Jun 01 23:57:41 2009  A5:  19
Mon Jun 01 23:57:41 2009  skew 1.30, size 4.593843e-012, alpha 1.501780, combined = 2.087721e-010
Mon Jun 01 23:57:41 2009  
Mon Jun 01 23:57:41 2009  commencing relation filtering
Mon Jun 01 23:57:41 2009  commencing duplicate removal, pass 1
Mon Jun 01 23:59:18 2009  found 1777090 hash collisions in 12098448 relations
Mon Jun 01 23:59:39 2009  added 2707 free relations
Mon Jun 01 23:59:39 2009  commencing duplicate removal, pass 2
Tue Jun 02 00:00:03 2009  found 1797917 duplicates and 10303238 unique relations
Tue Jun 02 00:00:03 2009  memory use: 69.3 MB
Tue Jun 02 00:00:03 2009  reading rational ideals above 5701632
Tue Jun 02 00:00:03 2009  reading algebraic ideals above 5701632
Tue Jun 02 00:00:03 2009  commencing singleton removal, pass 1
Tue Jun 02 00:01:33 2009  relations with 0 large ideals: 174319
Tue Jun 02 00:01:33 2009  relations with 1 large ideals: 1092040
Tue Jun 02 00:01:33 2009  relations with 2 large ideals: 3004490
Tue Jun 02 00:01:33 2009  relations with 3 large ideals: 3791203
Tue Jun 02 00:01:33 2009  relations with 4 large ideals: 1864703
Tue Jun 02 00:01:33 2009  relations with 5 large ideals: 22017
Tue Jun 02 00:01:33 2009  relations with 6 large ideals: 354460
Tue Jun 02 00:01:33 2009  relations with 7+ large ideals: 6
Tue Jun 02 00:01:33 2009  10303238 relations and about 10061091 large ideals
Tue Jun 02 00:01:33 2009  commencing singleton removal, pass 2
Tue Jun 02 00:03:06 2009  found 3638251 singletons
Tue Jun 02 00:03:06 2009  current dataset: 6664987 relations and about 5540314 large ideals
Tue Jun 02 00:03:06 2009  commencing singleton removal, pass 3
Tue Jun 02 00:04:14 2009  found 1113381 singletons
Tue Jun 02 00:04:14 2009  current dataset: 5551606 relations and about 4351780 large ideals
Tue Jun 02 00:04:14 2009  commencing singleton removal, pass 4
Tue Jun 02 00:05:12 2009  found 330238 singletons
Tue Jun 02 00:05:12 2009  current dataset: 5221368 relations and about 4013429 large ideals
Tue Jun 02 00:05:12 2009  commencing singleton removal, final pass
Tue Jun 02 00:06:12 2009  memory use: 88.2 MB
Tue Jun 02 00:06:12 2009  commencing in-memory singleton removal
Tue Jun 02 00:06:12 2009  begin with 5221368 relations and 4249847 unique ideals
Tue Jun 02 00:06:20 2009  reduce to 4512893 relations and 3525902 ideals in 14 passes
Tue Jun 02 00:06:20 2009  max relations containing the same ideal: 17
Tue Jun 02 00:06:21 2009  reading rational ideals above 720000
Tue Jun 02 00:06:21 2009  reading algebraic ideals above 720000
Tue Jun 02 00:06:21 2009  commencing singleton removal, final pass
Tue Jun 02 00:07:23 2009  keeping 3861899 ideals with weight <= 20, new excess is 468053
Tue Jun 02 00:07:29 2009  memory use: 128.6 MB
Tue Jun 02 00:07:29 2009  commencing in-memory singleton removal
Tue Jun 02 00:07:30 2009  begin with 4515600 relations and 3861899 unique ideals
Tue Jun 02 00:07:34 2009  reduce to 4511494 relations and 3844466 ideals in 8 passes
Tue Jun 02 00:07:34 2009  max relations containing the same ideal: 20
Tue Jun 02 00:07:38 2009  removing 543410 relations and 481367 ideals in 62043 cliques
Tue Jun 02 00:07:38 2009  commencing in-memory singleton removal
Tue Jun 02 00:07:39 2009  begin with 3968084 relations and 3844466 unique ideals
Tue Jun 02 00:07:44 2009  reduce to 3918567 relations and 3312614 ideals in 10 passes
Tue Jun 02 00:07:44 2009  max relations containing the same ideal: 20
Tue Jun 02 00:07:47 2009  removing 403681 relations and 341638 ideals in 62043 cliques
Tue Jun 02 00:07:47 2009  commencing in-memory singleton removal
Tue Jun 02 00:07:48 2009  begin with 3514886 relations and 3312614 unique ideals
Tue Jun 02 00:07:51 2009  reduce to 3483225 relations and 2938714 ideals in 7 passes
Tue Jun 02 00:07:51 2009  max relations containing the same ideal: 20
Tue Jun 02 00:07:54 2009  relations with 0 large ideals: 41806
Tue Jun 02 00:07:54 2009  relations with 1 large ideals: 262264
Tue Jun 02 00:07:54 2009  relations with 2 large ideals: 761751
Tue Jun 02 00:07:54 2009  relations with 3 large ideals: 1115630
Tue Jun 02 00:07:54 2009  relations with 4 large ideals: 857838
Tue Jun 02 00:07:54 2009  relations with 5 large ideals: 342096
Tue Jun 02 00:07:54 2009  relations with 6 large ideals: 93408
Tue Jun 02 00:07:54 2009  relations with 7+ large ideals: 8432
Tue Jun 02 00:07:54 2009  commencing 2-way merge
Tue Jun 02 00:07:57 2009  reduce to 2116068 relation sets and 1571558 unique ideals
Tue Jun 02 00:07:57 2009  ignored 1 oversize relation sets
Tue Jun 02 00:07:57 2009  commencing full merge
Tue Jun 02 00:08:27 2009  memory use: 117.7 MB
Tue Jun 02 00:08:28 2009  found 1009501 cycles, need 937758
Tue Jun 02 00:08:28 2009  weight of 937758 cycles is about 65932017 (70.31/cycle)
Tue Jun 02 00:08:28 2009  distribution of cycle lengths:
Tue Jun 02 00:08:28 2009  1 relations: 117955
Tue Jun 02 00:08:28 2009  2 relations: 103087
Tue Jun 02 00:08:28 2009  3 relations: 101087
Tue Jun 02 00:08:28 2009  4 relations: 92485
Tue Jun 02 00:08:28 2009  5 relations: 84611
Tue Jun 02 00:08:28 2009  6 relations: 75708
Tue Jun 02 00:08:28 2009  7 relations: 66535
Tue Jun 02 00:08:28 2009  8 relations: 57923
Tue Jun 02 00:08:28 2009  9 relations: 50477
Tue Jun 02 00:08:28 2009  10+ relations: 187890
Tue Jun 02 00:08:28 2009  heaviest cycle: 18 relations
Tue Jun 02 00:08:28 2009  commencing cycle optimization
Tue Jun 02 00:08:30 2009  start with 5543854 relations
Tue Jun 02 00:08:44 2009  pruned 157739 relations
Tue Jun 02 00:08:44 2009  memory use: 145.8 MB
Tue Jun 02 00:08:44 2009  distribution of cycle lengths:
Tue Jun 02 00:08:44 2009  1 relations: 117955
Tue Jun 02 00:08:44 2009  2 relations: 105792
Tue Jun 02 00:08:44 2009  3 relations: 105257
Tue Jun 02 00:08:44 2009  4 relations: 95447
Tue Jun 02 00:08:44 2009  5 relations: 87378
Tue Jun 02 00:08:44 2009  6 relations: 77385
Tue Jun 02 00:08:44 2009  7 relations: 67623
Tue Jun 02 00:08:44 2009  8 relations: 58211
Tue Jun 02 00:08:44 2009  9 relations: 50641
Tue Jun 02 00:08:44 2009  10+ relations: 172069
Tue Jun 02 00:08:44 2009  heaviest cycle: 18 relations
Tue Jun 02 00:08:47 2009  RelProcTime: 612
Tue Jun 02 00:08:47 2009  elapsed time 00:11:10
Tue Jun 02 00:18:36 2009  
Tue Jun 02 00:18:36 2009  
Tue Jun 02 00:18:36 2009  Msieve v. 1.41
Tue Jun 02 00:18:36 2009  random seeds: 08740858 38647e30
Tue Jun 02 00:18:36 2009  factoring 63333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331 (170 digits)
Tue Jun 02 00:18:37 2009  searching for 15-digit factors
Tue Jun 02 00:18:40 2009  commencing number field sieve (170-digit input)
Tue Jun 02 00:18:40 2009  R0: -10000000000000000000000000000000000
Tue Jun 02 00:18:40 2009  R1:  1
Tue Jun 02 00:18:40 2009  A0: -70
Tue Jun 02 00:18:40 2009  A1:  0
Tue Jun 02 00:18:40 2009  A2:  0
Tue Jun 02 00:18:40 2009  A3:  0
Tue Jun 02 00:18:40 2009  A4:  0
Tue Jun 02 00:18:40 2009  A5:  19
Tue Jun 02 00:18:40 2009  skew 1.30, size 4.593843e-012, alpha 1.501780, combined = 2.087721e-010
Tue Jun 02 00:18:40 2009  
Tue Jun 02 00:18:40 2009  commencing linear algebra
Tue Jun 02 00:18:40 2009  read 937758 cycles
Tue Jun 02 00:18:42 2009  cycles contain 3063344 unique relations
Tue Jun 02 00:19:16 2009  read 3063344 relations
Tue Jun 02 00:19:21 2009  using 20 quadratic characters above 134217402
Tue Jun 02 00:19:37 2009  building initial matrix
Tue Jun 02 00:20:17 2009  memory use: 335.2 MB
Tue Jun 02 00:20:18 2009  read 937758 cycles
Tue Jun 02 00:20:22 2009  matrix is 937406 x 937758 (265.7 MB) with weight 82805041 (88.30/col)
Tue Jun 02 00:20:22 2009  sparse part has weight 63082269 (67.27/col)
Tue Jun 02 00:20:44 2009  filtering completed in 3 passes
Tue Jun 02 00:20:44 2009  matrix is 929761 x 929961 (264.4 MB) with weight 82352811 (88.56/col)
Tue Jun 02 00:20:44 2009  sparse part has weight 62803128 (67.53/col)
Tue Jun 02 00:20:49 2009  read 929961 cycles
Tue Jun 02 00:23:59 2009  matrix is 929761 x 929961 (264.4 MB) with weight 82352811 (88.56/col)
Tue Jun 02 00:23:59 2009  sparse part has weight 62803128 (67.53/col)
Tue Jun 02 00:24:00 2009  saving the first 48 matrix rows for later
Tue Jun 02 00:24:00 2009  matrix is 929713 x 929961 (249.3 MB) with weight 64976976 (69.87/col)
Tue Jun 02 00:24:00 2009  sparse part has weight 59762482 (64.26/col)
Tue Jun 02 00:24:00 2009  matrix includes 64 packed rows
Tue Jun 02 00:24:00 2009  using block size 65536 for processor cache size 6144 kB
Tue Jun 02 00:24:07 2009  commencing Lanczos iteration (4 threads)
Tue Jun 02 00:24:07 2009  memory use: 272.7 MB
Tue Jun 02 01:46:04 2009  lanczos halted after 14705 iterations (dim = 929711)
Tue Jun 02 01:46:06 2009  recovered 35 nontrivial dependencies
Tue Jun 02 01:46:06 2009  BLanczosTime: 5246
Tue Jun 02 01:46:06 2009  elapsed time 01:27:30
Tue Jun 02 11:13:35 2009  
Tue Jun 02 11:13:35 2009  
Tue Jun 02 11:13:35 2009  Msieve v. 1.41
Tue Jun 02 11:13:35 2009  random seeds: 81a95a80 200be138
Tue Jun 02 11:13:35 2009  factoring 63333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331 (170 digits)
Tue Jun 02 11:13:37 2009  searching for 15-digit factors
Tue Jun 02 11:13:39 2009  commencing number field sieve (170-digit input)
Tue Jun 02 11:13:39 2009  R0: -10000000000000000000000000000000000
Tue Jun 02 11:13:39 2009  R1:  1
Tue Jun 02 11:13:39 2009  A0: -70
Tue Jun 02 11:13:39 2009  A1:  0
Tue Jun 02 11:13:39 2009  A2:  0
Tue Jun 02 11:13:39 2009  A3:  0
Tue Jun 02 11:13:39 2009  A4:  0
Tue Jun 02 11:13:39 2009  A5:  19
Tue Jun 02 11:13:39 2009  skew 1.30, size 4.593843e-012, alpha 1.501780, combined = 2.087721e-010
Tue Jun 02 11:13:39 2009  
Tue Jun 02 11:13:39 2009  commencing square root phase
Tue Jun 02 11:13:39 2009  reading relations for dependency 1
Tue Jun 02 11:13:40 2009  read 465397 cycles
Tue Jun 02 11:13:40 2009  cycles contain 1871002 unique relations
Tue Jun 02 11:14:08 2009  read 1871002 relations
Tue Jun 02 11:14:18 2009  multiplying 1528186 relations
Tue Jun 02 11:16:21 2009  multiply complete, coefficients have about 40.14 million bits
Tue Jun 02 11:16:22 2009  initial square root is modulo 579011
Tue Jun 02 11:20:27 2009  sqrtTime: 408
Tue Jun 02 11:20:27 2009  prp42 factor: 454291383041177479146316118799864631194049
Tue Jun 02 11:20:27 2009  prp129 factor: 139411258275160216175498607426380186850484941194923576476093434398091509434652722681972425582202165365944458263133700328849433619
Tue Jun 02 11:20:27 2009  elapsed time 00:06:52
software ソフトウェア
Sieving with ggnfs, postprocessing with msieve.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)

19×10170-73

c137

name 名前Jo Yeong Uk
date 日付September 9, 2009 23:02:31 UTC 2009 年 9 月 10 日 (木) 8 時 2 分 31 秒 (日本時間)
composite number 合成数
13556734793486081777091329350501324438959824086504966141450657440300019933595539917931323461796454538355073091348758169494393299903537449<137>
prime factors 素因数
19363256165470831739734671261834093462756927660295485797238711171749<68>
700126811195158293901619994127610847780854332564369683876988029909301<69>
factorization results 素因数分解の結果
Number: 63331_170
N=13556734793486081777091329350501324438959824086504966141450657440300019933595539917931323461796454538355073091348758169494393299903537449
  ( 137 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=19363256165470831739734671261834093462756927660295485797238711171749
 r2=700126811195158293901619994127610847780854332564369683876988029909301
Version: 
Total time: 27.91 hours.
Scaled time: 66.52 units (timescale=2.383).
Factorization parameters were as follows:
n: 13556734793486081777091329350501324438959824086504966141450657440300019933595539917931323461796454538355073091348758169494393299903537449
m: 10000000000000000000000000000000000
deg: 5
c5: 19
c0: -7
skew: 0.82
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 4900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10788670
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 868645 x 868893
Total sieving time: 24.93 hours.
Total relation processing time: 1.13 hours.
Matrix solve time: 1.61 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 27.91 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=2673799)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672387)
Calibrating delay using timer specific routine.. 5344.57 BogoMIPS (lpj=2672286)
Calibrating delay using timer specific routine.. 5237.81 BogoMIPS (lpj=2618908)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)
786Jo Yeong UkJuly 21, 2009 05:33:23 UTC 2009 年 7 月 21 日 (火) 14 時 33 分 23 秒 (日本時間)

19×10171-73

c140

name 名前Wataru Sakai
date 日付February 22, 2010 13:49:14 UTC 2010 年 2 月 22 日 (月) 22 時 49 分 14 秒 (日本時間)
composite number 合成数
36823978235085281063896454084756707808635129273917330943017557899501831445979837795672319537921359581259217762488014575457030899744761976801<140>
prime factors 素因数
2877135829226009634148756622895403559008620011185932385153<58>
12798832040193060248098921511654260425846346924767228716747461522994176834649656417<83>
factorization results 素因数分解の結果
Number: 63331_171
N=36823978235085281063896454084756707808635129273917330943017557899501831445979837795672319537921359581259217762488014575457030899744761976801
  ( 140 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=2877135829226009634148756622895403559008620011185932385153
 r2=12798832040193060248098921511654260425846346924767228716747461522994176834649656417
Version: 
Total time: 68.09 hours.
Scaled time: 137.06 units (timescale=2.013).
Factorization parameters were as follows:
n: 36823978235085281063896454084756707808635129273917330943017557899501831445979837795672319537921359581259217762488014575457030899744761976801
m: 10000000000000000000000000000000000
deg: 5
c5: 190
c0: -7
skew: 0.52
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2600000, 4800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 775856 x 776104
Total sieving time: 68.09 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 68.09 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiAugust 3, 2009 01:37:13 UTC 2009 年 8 月 3 日 (月) 10 時 37 分 13 秒 (日本時間)

19×10173-73

c173

name 名前Serge Batalov
date 日付May 28, 2009 09:33:44 UTC 2009 年 5 月 28 日 (木) 18 時 33 分 44 秒 (日本時間)
composite number 合成数
21839080459770114942528735632183908045977011494252873563218390804597701149425287356321839080459770114942528735632183908045977011494252873563218390804597701149425287356321839<173>
prime factors 素因数
122569446876810816963640019353373<33>
composite cofactor 合成数の残り
178177196815774311635530949428564880269645047657883031777408413802169831219687056745323086331601289126990624176890263158591874451664925011643<141>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=156145018
Step 1 took 11573ms
Step 2 took 11276ms
********** Factor found in step 2: 122569446876810816963640019353373
Found probable prime factor of 33 digits: 122569446876810816963640019353373
Composite cofactor has 141 digits
software ソフトウェア
GMP-ECM 6.2.3

c141

name 名前Warut Roonguthai
date 日付January 14, 2012 19:05:16 UTC 2012 年 1 月 15 日 (日) 4 時 5 分 16 秒 (日本時間)
composite number 合成数
178177196815774311635530949428564880269645047657883031777408413802169831219687056745323086331601289126990624176890263158591874451664925011643<141>
prime factors 素因数
6490766801105102776617526199800264089702164053464019945121<58>
27450870178456924192801219659311407011425436674415454735299089524581816790694814683<83>
factorization results 素因数分解の結果
N = 178177196815774311635530949428564880269645047657883031777408413802169831219687056745323086331601289126990624176890263158591874451664925011643 (141 digits)
SNFS difficulty: 175 digits.
Divisors found:
r1=6490766801105102776617526199800264089702164053464019945121 (pp58)
r2=27450870178456924192801219659311407011425436674415454735299089524581816790694814683 (pp83)
Version: Msieve v. 1.48
Total time: 35.82 hours.
Factorization parameters were as follows:
name: (19*10^173-7)/3
n: 178177196815774311635530949428564880269645047657883031777408413802169831219687056745323086331601289126990624176890263158591874451664925011643
Y0: 10000000000000000000000000000000000
Y1: -1
c0: -7
c1: 0
c2: 0
c3: 0
c4: 0
c5: 19000
skew: 0.21
type: snfs
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20795577
Relations: 2388402 relations
Pruned matrix : 1369005 x 1369230
Polynomial selection time: 0.00 hours.
Total sieving time: 33.22 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.41 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: snfs,175,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,55,55,2.5,2.5,100000
total time: 35.82 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiFebruary 12, 2010 02:38:57 UTC 2010 年 2 月 12 日 (金) 11 時 38 分 57 秒 (日本時間)
4511e640 / 3963Carlos PinhoDecember 14, 2011 15:21:13 UTC 2011 年 12 月 15 日 (木) 0 時 21 分 13 秒 (日本時間)

19×10174-73

c151

name 名前Wataru Sakai
date 日付April 19, 2010 04:08:55 UTC 2010 年 4 月 19 日 (月) 13 時 8 分 55 秒 (日本時間)
composite number 合成数
1329447727889977638933248927784350948520466539135961173616463040592559327874740520587387933913590399449019307638682909536923030528521596638515358432921<151>
prime factors 素因数
465167373691663913363497526052844241<36>
composite cofactor 合成数の残り
2857998653988148703473658071299925538456282462185934104417981915882679955331476502321405102376097811303356624433481<115>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1165266193
Step 1 took 46955ms
Step 2 took 16341ms
********** Factor found in step 2: 465167373691663913363497526052844241
Found probable prime factor of 36 digits: 465167373691663913363497526052844241
Composite cofactor 2857998653988148703473658071299925538456282462185934104417981915882679955331476502321405102376097811303356624433481 has 115 digits
software ソフトウェア
GMP-ECM 6.2.1

c115

name 名前Dmitry Domanov
date 日付April 21, 2010 15:04:06 UTC 2010 年 4 月 22 日 (木) 0 時 4 分 6 秒 (日本時間)
composite number 合成数
2857998653988148703473658071299925538456282462185934104417981915882679955331476502321405102376097811303356624433481<115>
prime factors 素因数
371861097947295989092151894477072903185345226365554967859<57>
7685661849987905724544094969263792386308298282463589562259<58>
factorization results 素因数分解の結果
N=2857998653988148703473658071299925538456282462185934104417981915882679955331476502321405102376097811303356624433481
  ( 115 digits)
Divisors found:
 r1=371861097947295989092151894477072903185345226365554967859 (pp57)
 r2=7685661849987905724544094969263792386308298282463589562259 (pp58)
Version: Msieve-1.40
Total time: 26.72 hours.
Scaled time: 52.46 units (timescale=1.963).
Factorization parameters were as follows:
n: 2857998653988148703473658071299925538456282462185934104417981915882679955331476502321405102376097811303356624433481
skew: 25951.03
# norm 1.28e+016
c5: 113400
c4: -28112264640
c3: -305958739252092
c2: 15335365106229914605
c1: 45987963355374724769132
c0: -1492815364314562855219897965
# alpha -6.43
Y1: 3558320951203
Y0: -7591015657580100859124
# Murphy_E 5.40e-010
# M 2794679490794505356618344706953943079385973589176654974998754907249363311551018931613860030887281120892034864312244
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 3050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 476558 x 476786
Polynomial selection time: 2.74 hours.
Total sieving time: 23.19 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.63 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 26.72 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)

19×10176-73

c160

name 名前Serge Batalov
date 日付May 28, 2009 18:49:31 UTC 2009 年 5 月 29 日 (金) 3 時 49 分 31 秒 (日本時間)
composite number 合成数
6240353914431837447541105262138683991955373721154934202144414781243805931701770753285941738501777716798158821851383917627127553317017735918309821564986310417277<160>
prime factors 素因数
3163772207346213559008453427361628107<37>
1972440967760531199381211837488119430417008472869108795319192731868746765494186479794291931702613136217821449591778270468311<124>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2707555263
Step 1 took 11868ms
Step 2 took 11053ms
********** Factor found in step 2: 3163772207346213559008453427361628107
Found probable prime factor of 37 digits: 3163772207346213559008453427361628107
Probable prime cofactor has 124 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)

19×10177-73

c173

name 名前Dmitry Domanov
date 日付December 9, 2009 22:04:52 UTC 2009 年 12 月 10 日 (木) 7 時 4 分 52 秒 (日本時間)
composite number 合成数
10296077248758103419218874552052902328701724267799885442593137501944061954206299790339353287131041426537759779512215211858046357274964329511321078833812100925400585142327011<173>
prime factors 素因数
52374708010720593180983888284200480121<38>
composite cofactor 合成数の残り
196584909774591899891929740271017992127607138646378613009944940506168200305296645686623671326556823641070931963952390382765248092716091<135>
factorization results 素因数分解の結果
Factor=52374708010720593180983888284200480121  Method=ECM  B1=11000000  Sigma=2413859118
software ソフトウェア
ECMNET

c135

name 名前Robert Backstrom
date 日付June 6, 2012 03:14:50 UTC 2012 年 6 月 6 日 (水) 12 時 14 分 50 秒 (日本時間)
composite number 合成数
196584909774591899891929740271017992127607138646378613009944940506168200305296645686623671326556823641070931963952390382765248092716091<135>
prime factors 素因数
369166982385426403870354961682832341316999849123<48>
532509458197831718308405895299109462749647201922377269950398558910831768406333875547017<87>
factorization results 素因数分解の結果
Number: n
N=196584909774591899891929740271017992127607138646378613009944940506168200305296645686623671326556823641070931963952390382765248092716091
  ( 135 digits)
Divisors found:

Wed Jun  6 13:07:08 2012  prp48 factor: 369166982385426403870354961682832341316999849123
Wed Jun  6 13:07:08 2012  prp87 factor: 532509458197831718308405895299109462749647201922377269950398558910831768406333875547017
Wed Jun  6 13:07:08 2012  elapsed time 02:44:00 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.286).
Factorization parameters were as follows:
name: KA_63331_177
n: 196584909774591899891929740271017992127607138646378613009944940506168200305296645686623671326556823641070931963952390382765248092716091
skew: 256476.68
# norm 7.54e+17
c5: 23400
c4: 62216531023
c3: -6265595311368594
c2: -4360136381365210291149
c1: 156639451246480650854754965
c0: 9142100073682885329768125556675
# alpha -4.89
Y1: 470198956199159
Y0: -96575227445718140126047162
# Murphy_E 3.96e-11
# M 114810829956789963382166742313017703967878232969140886858267551662941123701753339623816225309095868330871573018318754170174987710174961
type: gnfs
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 13260000)
Primes: RFBsize:970704, AFBsize:971026, 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2592229 hash collisions in 25434406 relations (23762665 unique)
Msieve: matrix is 1407817 x 1408044 (406.1 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:
gnfs,134,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,15000000,15000000,28,28,55,55,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         950  @ 3.07GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         950  @ 3.07GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         950  @ 3.07GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         950  @ 3.07GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         950  @ 3.07GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         950  @ 3.07GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         950  @ 3.07GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         950  @ 3.07GHz stepping 05
Memory: 6059556k/6815744k available (3972k kernel code, 525892k absent, 230296k reserved, 2498k data, 1292k init)
VBoxDrv: dbg - g_abExecMemory=ffffffffa01e5440
Calibrating delay loop (skipped), value calculated using timer frequency.. 6207.36 BogoMIPS (lpj=3103683)
Calibrating delay using timer specific routine.. 6205.99 BogoMIPS (lpj=3102995)
Calibrating delay using timer specific routine.. 6205.98 BogoMIPS (lpj=3102990)
Calibrating delay using timer specific routine.. 6206.00 BogoMIPS (lpj=3103003)
Calibrating delay using timer specific routine.. 6205.98 BogoMIPS (lpj=3102993)
Calibrating delay using timer specific routine.. 6206.00 BogoMIPS (lpj=3103001)
Calibrating delay using timer specific routine.. 6206.00 BogoMIPS (lpj=3103000)
Calibrating delay using timer specific routine.. 6205.99 BogoMIPS (lpj=3102996)
Total of 8 processors activated (49649.32 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)
403e621651395ruffenach timotheeMarch 9, 2011 13:04:04 UTC 2011 年 3 月 9 日 (水) 22 時 4 分 4 秒 (日本時間)
770Ignacio SantosJuly 18, 2011 22:43:57 UTC 2011 年 7 月 19 日 (火) 7 時 43 分 57 秒 (日本時間)
4511e6328 / 3782108Dmitry DomanovDecember 9, 2009 22:04:36 UTC 2009 年 12 月 10 日 (木) 7 時 4 分 36 秒 (日本時間)
220Ignacio SantosJuly 18, 2011 22:43:57 UTC 2011 年 7 月 19 日 (火) 7 時 43 分 57 秒 (日本時間)
5043e661 / 7397Ignacio SantosJuly 18, 2011 22:43:57 UTC 2011 年 7 月 19 日 (火) 7 時 43 分 57 秒 (日本時間)

19×10182-73

c156

name 名前Jo Yeong Uk
date 日付April 30, 2014 12:40:21 UTC 2014 年 4 月 30 日 (水) 21 時 40 分 21 秒 (日本時間)
composite number 合成数
627127382825466534427536772017298381994339310727039064144472233242708551023021621217576929136425793397005941027518244552368858171007705282023353934393817141<156>
prime factors 素因数
505893437877631593512428204716283743233978211419564466312184307<63>
1239643244744280914946316001724459903957886751883088553657907221530734884323219649113737969463<94>
factorization results 素因数分解の結果
Number: 63331_182
N=627127382825466534427536772017298381994339310727039064144472233242708551023021621217576929136425793397005941027518244552368858171007705282023353934393817141
  ( 156 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=505893437877631593512428204716283743233978211419564466312184307
 r2=1239643244744280914946316001724459903957886751883088553657907221530734884323219649113737969463
Version: 
Total time: 75.69 hours.
Scaled time: 397.72 units (timescale=5.255).
Factorization parameters were as follows:
n: 627127382825466534427536772017298381994339310727039064144472233242708551023021621217576929136425793397005941027518244552368858171007705282023353934393817141
m: 1000000000000000000000000000000000000
deg: 5
c5: 1900
c0: -7
skew: 0.33
# Murphy_E = 6.402e-11
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3400000, 7000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18795902
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1514959 x 1515207
Total sieving time: 71.10 hours.
Total relation processing time: 1.72 hours.
Matrix solve time: 2.75 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 75.69 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49374320k/51380224k available (5220k kernel code, 1085960k absent, 919944k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.06 BogoMIPS (lpj=3400031)
Total of 12 processors activated (81600.74 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)
786Max DettweilerFebruary 4, 2010 17:54:49 UTC 2010 年 2 月 5 日 (金) 2 時 54 分 49 秒 (日本時間)
403e60--
4511e61540 / 4439230Ignacio SantosOctober 2, 2013 15:11:12 UTC 2013 年 10 月 3 日 (木) 0 時 11 分 12 秒 (日本時間)
230Ignacio SantosOctober 13, 2013 15:27:11 UTC 2013 年 10 月 14 日 (月) 0 時 27 分 11 秒 (日本時間)
230Ignacio SantosOctober 17, 2013 16:03:34 UTC 2013 年 10 月 18 日 (金) 1 時 3 分 34 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:06:16 UTC 2013 年 11 月 9 日 (土) 2 時 6 分 16 秒 (日本時間)

19×10183-73

c116

name 名前Jo Yeong Uk
date 日付May 30, 2009 12:39:25 UTC 2009 年 5 月 30 日 (土) 21 時 39 分 25 秒 (日本時間)
composite number 合成数
10314190330365491502414101471530176218118047462207183441475087326449818983417302428137450255427811591623312950392949<116>
prime factors 素因数
20918814650880279245782585898866372921751427107<47>
493058067701339029668726835528369070385382676527854413996834196777607<69>
factorization results 素因数分解の結果
Number: 63331_183
N=10314190330365491502414101471530176218118047462207183441475087326449818983417302428137450255427811591623312950392949
  ( 116 digits)
Divisors found:
 r1=20918814650880279245782585898866372921751427107
 r2=493058067701339029668726835528369070385382676527854413996834196777607
Version: 
Total time: 16.07 hours.
Scaled time: 38.20 units (timescale=2.377).
Factorization parameters were as follows:
name: 63331_183
n: 10314190330365491502414101471530176218118047462207183441475087326449818983417302428137450255427811591623312950392949
skew: 41613.59
# norm 9.10e+15
c5: 28500
c4: 3554644580
c3: 158727902980021
c2: -3174603706020844408
c1: 21891353313746581626744
c0: -727582156817515135345185867
# alpha -6.13
Y1: 362105387977
Y0: -12933550196069224996114
# Murphy_E 5.18e-10
# M 2313767235390905646823578484813923700899760471601142099600885784234612345003558293700337149488837071365532915777600
type: gnfs
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 75000
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [1650000, 2850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8690691
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 505767 x 506015
Polynomial selection time: 1.53 hours.
Total sieving time: 13.18 hours.
Total relation processing time: 0.65 hours.
Matrix solve time: 0.53 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3300000,3300000,27,27,52,52,2.4,2.4,75000
total time: 16.07 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=2673793)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672305)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)
786Jo Yeong UkMay 29, 2009 10:06:21 UTC 2009 年 5 月 29 日 (金) 19 時 6 分 21 秒 (日本時間)

19×10185-73

c180

name 名前Wataru Sakai
date 日付August 18, 2009 11:53:08 UTC 2009 年 8 月 18 日 (火) 20 時 53 分 8 秒 (日本時間)
composite number 合成数
968987800443592415171492990903244528151390573992673432241488079665077016680359994267672170007379607090746727498700791357036814906500327160881044507649648690922981279665689008975377<180>
prime factors 素因数
92441972095372479843278989499675612962293661<44>
46224877490952496513455145253411202856771657321<47>
226763597697597739551036386348904373582419249675420678746058970902269764864275707817984317<90>
factorization results 素因数分解の結果
Number: 63331_185
N=968987800443592415171492990903244528151390573992673432241488079665077016680359994267672170007379607090746727498700791357036814906500327160881044507649648690922981279665689008975377
  ( 180 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=92441972095372479843278989499675612962293661
 r2=46224877490952496513455145253411202856771657321
 r3=226763597697597739551036386348904373582419249675420678746058970902269764864275707817984317
Version: 
Total time: 214.40 hours.
Scaled time: 429.87 units (timescale=2.005).
Factorization parameters were as follows:
n: 968987800443592415171492990903244528151390573992673432241488079665077016680359994267672170007379607090746727498700791357036814906500327160881044507649648690922981279665689008975377
m: 10000000000000000000000000000000000000
deg: 5
c5: 19
c0: -7
skew: 0.82
type: snfs
lss: 1
rlim: 8900000
alim: 8900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4450000, 6650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1532242 x 1532490
Total sieving time: 214.40 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8900000,8900000,28,28,54,54,2.5,2.5,100000
total time: 214.40 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61318118Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)
1200Dmitry DomanovJune 24, 2009 00:34:01 UTC 2009 年 6 月 24 日 (水) 9 時 34 分 1 秒 (日本時間)
403e62500Dmitry DomanovJune 24, 2009 00:34:01 UTC 2009 年 6 月 24 日 (水) 9 時 34 分 1 秒 (日本時間)

19×10186-73

c186

name 名前Robert Backstrom
date 日付June 30, 2009 14:16:07 UTC 2009 年 6 月 30 日 (火) 23 時 16 分 7 秒 (日本時間)
composite number 合成数
204301075268817204301075268817204301075268817204301075268817204301075268817204301075268817204301075268817204301075268817204301075268817204301075268817204301075268817204301075268817204301<186>
prime factors 素因数
45375384255763808937205453772771421525275464277<47>
4502464907343806280355038819201018379226560865222581518503198220891624006629541852121996245628519155577319420480532441830821053550711833113<139>
factorization results 素因数分解の結果
Number: n
N=204301075268817204301075268817204301075268817204301075268817204301075268817204301075268817204301075268817204301075268817204301075268817204301075268817204301075268817204301075268817204301
  ( 186 digits)
SNFS difficulty: 188 digits.
Divisors found:

Wed Jul 01 00:07:33 2009  prp47 factor: 45375384255763808937205453772771421525275464277
Wed Jul 01 00:07:33 2009  prp139 factor: 4502464907343806280355038819201018379226560865222581518503198220891624006629541852121996245628519155577319420480532441830821053550711833113
Wed Jul 01 00:07:33 2009  elapsed time 03:40:10 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 199.08 hours.
Scaled time: 531.74 units (timescale=2.671).
Factorization parameters were as follows:
name: KA_6_3_185_1
n: 204301075268817204301075268817204301075268817204301075268817204301075268817204301075268817204301075268817204301075268817204301075268817204301075268817204301075268817204301075268817204301
m: 20000000000000000000000000000000000000
deg: 5
c5: 95
c0: -112
skew: 1.03
type: snfs
lss: 1
rlim: 9800000
alim: 9800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 9800000/9800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [4900000, 8700071)
Primes: RFBsize:652265, AFBsize:651845, largePrimes:20941877 encountered
Relations: rels:20943299, finalFF:1389104
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2017868 hash collisions in 22431102 relations
Msieve: matrix is 1582923 x 1583171 (430.1 MB)

Total sieving time: 198.36 hours.
Total relation processing time: 0.72 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9800000,9800000,28,28,56,56,2.5,2.5,100000
total time: 199.08 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)

19×10187-73

c156

name 名前Ignacio Santos
date 日付November 14, 2010 10:18:19 UTC 2010 年 11 月 14 日 (日) 19 時 18 分 19 秒 (日本時間)
composite number 合成数
196038416859760707922744904465384975514782265589160658230320821018012598828694214948367410506417881969715815642254893308984625445171451226738650484598362749<156>
prime factors 素因数
2608996723335289617872974010198743<34>
composite cofactor 合成数の残り
75139387913507644241688748380341745222542169486423317765199669261226282934024274903172905022900135973489397799517337597643<122>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1328812149
Step 1 took 7879ms
Step 2 took 5631ms
********** Factor found in step 2: 2608996723335289617872974010198743
Found probable prime factor of 34 digits: 2608996723335289617872974010198743
Composite cofactor 75139387913507644241688748380341745222542169486423317765199669261226282934024274903172905022900135973489397799517337597643 has 122 digits
software ソフトウェア
GMP-ECM 6.3

c122

name 名前Ignacio Santos
date 日付November 20, 2010 05:30:05 UTC 2010 年 11 月 20 日 (土) 14 時 30 分 5 秒 (日本時間)
composite number 合成数
75139387913507644241688748380341745222542169486423317765199669261226282934024274903172905022900135973489397799517337597643<122>
prime factors 素因数
261600566647682155566024615084289148694813432329602229<54>
287229453958728255808312775138119338278784713557845682440104041872767<69>
factorization results 素因数分解の結果
Number: 1
N=75139387913507644241688748380341745222542169486423317765199669261226282934024274903172905022900135973489397799517337597643
  ( 122 digits)
Divisors found:
 r1=261600566647682155566024615084289148694813432329602229 (pp54)
 r2=287229453958728255808312775138119338278784713557845682440104041872767 (pp69)
Version: Msieve-1.40
Total time: 48.54 hours.
Scaled time: 84.41 units (timescale=1.739).
Factorization parameters were as follows:
# Murphy_E = 2.373e-10, selected by Erik Branger
n: 75139387913507644241688748380341745222542169486423317765199669261226282934024274903172905022900135973489397799517337597643
Y0: -617048525815576139784459
Y1: 7863931032931
c0: -273092748694170843323596511024
c1: 3190152526842108206426368
c2: 55379041678094207243
c3: -275123338235692
c4: -1248791550
c5: 840
skew: 225595.89
type: gnfs
# selected mechanically
rlim: 5900000
alim: 5900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [2950000, 5350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 888012 x 888240
Total sieving time: 47.16 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.04 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
gnfs,121,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5900000,5900000,27,27,52,52,2.5,2.5,100000
total time: 48.54 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 14, 2010 18:49:37 UTC 2010 年 11 月 15 日 (月) 3 時 49 分 37 秒 (日本時間)
403e6860110Ignacio SantosNovember 14, 2010 18:49:37 UTC 2010 年 11 月 15 日 (月) 3 時 49 分 37 秒 (日本時間)
750Ignacio SantosNovember 17, 2010 06:36:43 UTC 2010 年 11 月 17 日 (水) 15 時 36 分 43 秒 (日本時間)
4511e6246 / 406832Ignacio SantosNovember 14, 2010 18:49:37 UTC 2010 年 11 月 15 日 (月) 3 時 49 分 37 秒 (日本時間)
214Ignacio SantosNovember 17, 2010 06:36:43 UTC 2010 年 11 月 17 日 (水) 15 時 36 分 43 秒 (日本時間)
5043e658 / 7463Ignacio SantosNovember 17, 2010 06:36:43 UTC 2010 年 11 月 17 日 (水) 15 時 36 分 43 秒 (日本時間)

19×10189-73

c140

name 名前Jason Parker-Burlingham
date 日付February 6, 2018 04:18:16 UTC 2018 年 2 月 6 日 (火) 13 時 18 分 16 秒 (日本時間)
composite number 合成数
12584283085151656612934434378224294540766601417002741894732519446401702923184545051984235633783327224735080071895579775758961408877766215549<140>
prime factors 素因数
6806821442363336482671777872003761470886079781269<49>
1848775260480812405676842795011092297979252718894021294420613890367565739613054689397378121<91>
factorization results 素因数分解の結果
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66548/40.650/50.071/54.550/0.954
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66548/40.650/44.825/50.740/1.250
Info:Polynomial Selection (size optimized): Total time: 78546.9
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 11285.4
Info:Generate Factor Base: Total cpu/real time for makefb: 54.92/15.6859
Info:Generate Free Relations: Total cpu/real time for freerel: 674.52/169.866
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25183326
Info:Lattice Sieving: Average J: 3783.02 for 841986 special-q, max bucket fill: 0.603896
Info:Lattice Sieving: Total CPU time: 4.13899e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 128.69/425.116
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 425.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 535.29/439.386
Info:Filtering - Singleton removal: Total cpu/real time for purge: 274.4/576.049
Info:Filtering - Merging: Total cpu/real time for merge: 1391.82/1427.63
Info:Filtering - Merging: Total cpu/real time for replay: 135.87/193.956
Info:Linear Algebra: Total cpu/real time for bwc: 360786/0.000241041
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 21555.87
Info:Linear Algebra: Lingen CPU time 972.7, WCT time 975.32
Info:Linear Algebra: Mksol: WCT time 25687.9
Info:Quadratic Characters: Total cpu/real time for characters: 173.34/34.8635
Info:Square Root: Total cpu/real time for sqrt: 3616.71/619.147
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 4.59659e+06/349827
6806821442363336482671777872003761470886079781269 1848775260480812405676842795011092297979252718894021294420613890367565739613054689397378121
software ソフトウェア
CADO-NFS 2.3.0
execution environment 実行環境
8 x 2.6 Ghz Core i7 cores, 8 x 3.7 GHz Xeon E5 cores

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 14, 2010 10:38:26 UTC 2010 年 11 月 14 日 (日) 19 時 38 分 26 秒 (日本時間)
403e6410110Ignacio SantosNovember 14, 2010 10:38:26 UTC 2010 年 11 月 14 日 (日) 19 時 38 分 26 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:54:12 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 12 秒 (日本時間)
4511e6932 / 437132Ignacio SantosNovember 14, 2010 10:38:26 UTC 2010 年 11 月 14 日 (日) 19 時 38 分 26 秒 (日本時間)
600Rich DickersonApril 21, 2014 03:07:48 UTC 2014 年 4 月 21 日 (月) 12 時 7 分 48 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:27 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 27 秒 (日本時間)

19×10191-73

c169

name 名前Edwin Hall
date 日付December 19, 2020 15:17:17 UTC 2020 年 12 月 20 日 (日) 0 時 17 分 17 秒 (日本時間)
composite number 合成数
6240217410432424134517728984374949688461010448054275918125023784241077201023685565913896366837091428136205144208667701792726837403635215697260428039947716566782905707747<169>
prime factors 素因数
17373227625257168904014803978986427330428964327103867<53>
697791302251178037893797225362731282533165295536539911<54>
514746804458697339687554629056275820126797370867674527292826431<63>
factorization results 素因数分解の結果
found factor: 514746804458697339687554629056275820126797370867674527292826431
p53 factor: 17373227625257168904014803978986427330428964327103867
p54 factor: 697791302251178037893797225362731282533165295536539911
p63 factor: 514746804458697339687554629056275820126797370867674527292826431


Msieve v. 1.54 (SVN 1034)
random seeds: ac7ea065 b2ca9176
factoring 6240217410432424134517728984374949688461010448054275918125023784241077201023685565913896366837091428136205144208667701792726837403635215697260428039947716566782905707747 (169 digits)
searching for 15-digit factors
commencing number field sieve (169-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -7
A1: 0
A2: 0
A3: 0
A4: 0
A5: 190
skew 1.00, size 2.316e-13, alpha 0.223, combined = 3.342e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 576675 hash collisions in 35548228 relations
added 725890 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 36274118 unique relations
memory use: 144.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1168.9 MB
keeping 39213265 ideals with weight <= 200, target excess is 199761
commencing in-memory singleton removal
begin with 36274118 relations and 39213265 unique ideals
reduce to 13275904 relations and 12100050 ideals in 13 passes
max relations containing the same ideal: 103
removing 2156292 relations and 1756292 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11119612 relations and 12100050 unique ideals
reduce to 10808314 relations and 10020127 ideals in 10 passes
max relations containing the same ideal: 91
removing 1740161 relations and 1340161 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9068153 relations and 10020127 unique ideals
reduce to 8813571 relations and 8415751 ideals in 9 passes
max relations containing the same ideal: 83
removing 856962 relations and 690865 ideals in 166097 cliques
commencing in-memory singleton removal
begin with 7956609 relations and 8415751 unique ideals
reduce to 7884959 relations and 7651929 ideals in 8 passes
max relations containing the same ideal: 78
relations with 0 large ideals: 4107
relations with 1 large ideals: 14678
relations with 2 large ideals: 113574
relations with 3 large ideals: 481232
relations with 4 large ideals: 1239195
relations with 5 large ideals: 2004432
relations with 6 large ideals: 2123496
relations with 7+ large ideals: 1904245
commencing 2-way merge
reduce to 4816168 relation sets and 4583138 unique ideals
commencing full merge
memory use: 499.4 MB
found 2212833 cycles, need 2189338
weight of 2189338 cycles is about 197318155 (90.13/cycle)
distribution of cycle lengths:
1 relations: 176704
2 relations: 185531
3 relations: 196021
4 relations: 188734
5 relations: 182524
6 relations: 169170
7 relations: 157171
8 relations: 141406
9 relations: 126595
10+ relations: 665482
heaviest cycle: 27 relations
commencing cycle optimization
start with 16336385 relations
pruned 513739 relations
memory use: 487.6 MB
distribution of cycle lengths:
1 relations: 176704
2 relations: 189999
3 relations: 203336
4 relations: 194679
5 relations: 188583
6 relations: 174161
7 relations: 161410
8 relations: 143997
9 relations: 129108
10+ relations: 627361
heaviest cycle: 27 relations
RelProcTime: 888
elapsed time 00:14:49


Msieve v. 1.54 (SVN 1034)
random seeds: 27434336 c5fbab1a
factoring 6240217410432424134517728984374949688461010448054275918125023784241077201023685565913896366837091428136205144208667701792726837403635215697260428039947716566782905707747 (169 digits)
searching for 15-digit factors
commencing number field sieve (169-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -7
A1: 0
A2: 0
A3: 0
A4: 0
A5: 190
skew 1.00, size 2.316e-13, alpha 0.223, combined = 3.342e-11 rroots = 1

commencing linear algebra
read 2189338 cycles
cycles contain 7697916 unique relations
read 7697916 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 951.3 MB
read 2189338 cycles
matrix is 2189160 x 2189338 (806.4 MB) with weight 239684290 (109.48/col)
sparse part has weight 187323138 (85.56/col)
filtering completed in 2 passes
matrix is 2187999 x 2188177 (806.3 MB) with weight 239638987 (109.52/col)
sparse part has weight 187306305 (85.60/col)
matrix starts at (0, 0)
matrix is 2187999 x 2188177 (806.3 MB) with weight 239638987 (109.52/col)
sparse part has weight 187306305 (85.60/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2187951 x 2188177 (770.9 MB) with weight 197118110 (90.08/col)
sparse part has weight 180204776 (82.35/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 726.6 MB
linear algebra at 0.1%, ETA 4h24m
checkpointing every 520000 dimensions
lanczos halted after 34600 iterations (dim = 2187949)
recovered 37 nontrivial dependencies
BLanczosTime: 12557
elapsed time 03:29:19


Msieve v. 1.54 (SVN 1034)
random seeds: 1ab15a3b ef78cd35
factoring 6240217410432424134517728984374949688461010448054275918125023784241077201023685565913896366837091428136205144208667701792726837403635215697260428039947716566782905707747 (169 digits)
searching for 15-digit factors
commencing number field sieve (169-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -7
A1: 0
A2: 0
A3: 0
A4: 0
A5: 190
skew 1.00, size 2.316e-13, alpha 0.223, combined = 3.342e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1094175 cycles
cycles contain 3850618 unique relations
read 3850618 relations
multiplying 3850618 relations
multiply complete, coefficients have about 111.69 million bits
initial square root is modulo 104032861
found factor: 514746804458697339687554629056275820126797370867674527292826431
reading relations for dependency 2
read 1094892 cycles
cycles contain 3847908 unique relations
read 3847908 relations
multiplying 3847908 relations
multiply complete, coefficients have about 111.62 million bits
initial square root is modulo 102747521
sqrtTime: 431
p53 factor: 17373227625257168904014803978986427330428964327103867
p54 factor: 697791302251178037893797225362731282533165295536539911
p63 factor: 514746804458697339687554629056275820126797370867674527292826431
elapsed time 00:07:12
software ソフトウェア
CADO-NFS/Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 14, 2010 10:59:06 UTC 2010 年 11 月 14 日 (日) 19 時 59 分 6 秒 (日本時間)
403e62710110Ignacio SantosNovember 14, 2010 10:59:06 UTC 2010 年 11 月 14 日 (日) 19 時 59 分 6 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:54:13 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 13 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:42 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 42 秒 (日本時間)
1000Dmitry DomanovJune 4, 2014 12:25:10 UTC 2014 年 6 月 4 日 (水) 21 時 25 分 10 秒 (日本時間)
4511e6403232Ignacio SantosNovember 14, 2010 10:59:06 UTC 2010 年 11 月 14 日 (日) 19 時 59 分 6 秒 (日本時間)
4000Robert BalfourApril 19, 2020 23:21:23 UTC 2020 年 4 月 20 日 (月) 8 時 21 分 23 秒 (日本時間)

19×10192-73

c172

name 名前Serge Batalov
date 日付May 18, 2014 23:27:43 UTC 2014 年 5 月 19 日 (月) 8 時 27 分 43 秒 (日本時間)
composite number 合成数
8219007654187562246112867653938124804699179424747980817665387535022589854694911846033334061698466024228610146330917077425637372146785947903149123020431124522089077978344649<172>
prime factors 素因数
4582079405572610012657122340223834829<37>
1793728769560783111891799080406325443729468786029320880198355862323227750480510094814489676934715584307986815663875279275878257404121581<136>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3195558650
Step 1 took 11600ms
Step 2 took 10118ms
********** Factor found in step 2: 4582079405572610012657122340223834829
Found probable prime factor of 37 digits: 4582079405572610012657122340223834829
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 14, 2010 11:40:42 UTC 2010 年 11 月 14 日 (日) 20 時 40 分 42 秒 (日本時間)
403e6410 / 2126110Ignacio SantosNovember 14, 2010 11:40:42 UTC 2010 年 11 月 14 日 (日) 20 時 40 分 42 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:54:13 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 13 秒 (日本時間)
4511e632 / 4371Ignacio SantosNovember 14, 2010 11:40:42 UTC 2010 年 11 月 14 日 (日) 20 時 40 分 42 秒 (日本時間)

19×10193-73

c145

name 名前Eric Jeancolas
date 日付May 25, 2020 06:19:36 UTC 2020 年 5 月 25 日 (月) 15 時 19 分 36 秒 (日本時間)
composite number 合成数
2655398810492229254291426481967157167489783243684776477361882900176744772028616289242175976789326226375179782861589203930557018033280905630957371<145>
prime factors 素因数
202555243903050794030607727034892321494118638212414737523<57>
13109504149708339677733068321472896536319275924738370296992731824312282362009489078474777<89>
factorization results 素因数分解の結果
2655398810492229254291426481967157167489783243684776477361882900176744772028616289242175976789326226375179782861589203930557018033280905630957371=202555243903050794030607727034892321494118638212414737523*13109504149708339677733068321472896536319275924738370296992731824312282362009489078474777

n: 2655398810492229254291426481967157167489783243684776477361882900176744772028616289242175976789326226375179782861589203930557018033280905630957371
skew: 1262949.774
c0: -14016537194561570529740740595507136
c1: -157994192166259292077247038546
c2: -394336901898612950155297
c3: 274412936866379558
c4: 112654437696
c5: 16560
Y0: -10920929960915501314416444233
Y1: 51141524972712125929
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.86e-07
# found by revision 7f9c8bd19
# f(x) = 16560*x^5+112654437696*x^4+274412936866379558*x^3-394336901898612950155297*x^2-157994192166259292077247038546*x-14016537194561570529740740595507136
# g(x) = 51141524972712125929*x-10920929960915501314416444233

Info:Square Root: Factors: 202555243903050794030607727034892321494118638212414737523 13109504149708339677733068321472896536319275924738370296992731824312282362009489078474777
Info:Square Root: Total cpu/real time for sqrt: 1462.67/440.697
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 18.15/4.95157
Info:Generate Free Relations: Total cpu/real time for freerel: 468.1/118.373
Warning:Lattice Sieving: some stats could not be displayed for sieving (see log file for debug info)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49248996
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 103.94/75.9541
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 75.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 558.92/180.359
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 168.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 262.74/110.256
Info:Filtering - Merging: Total cpu/real time for merge: 467.61/135.854
Info:Filtering - Merging: Total cpu/real time for replay: 139.79/120.757
Info:Linear Algebra: Total cpu/real time for bwc: 199883/51000.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 32580.69, iteration CPU time 0.3, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (104448 iterations)
Info:Linear Algebra: Lingen CPU time 701.9, WCT time 201.93
Info:Linear Algebra: Mksol: WCT time 17786.86, iteration CPU time 0.32, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (52224 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 133.64/55.0421
Info:Square Root: Total cpu/real time for sqrt: 1462.67/440.697
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 162243/52460.9
Info:root: Cleaning up computation data in /tmp/cado.lnih1duu
202555243903050794030607727034892321494118638212414737523 13109504149708339677733068321472896536319275924738370296992731824312282362009489078474777
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 18.04 LTS
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 14, 2010 12:40:12 UTC 2010 年 11 月 14 日 (日) 21 時 40 分 12 秒 (日本時間)
403e62710110Ignacio SantosNovember 14, 2010 12:40:12 UTC 2010 年 11 月 14 日 (日) 21 時 40 分 12 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:54:14 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 14 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:42 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 42 秒 (日本時間)
1000Dmitry DomanovJune 4, 2014 12:25:27 UTC 2014 年 6 月 4 日 (水) 21 時 25 分 27 秒 (日本時間)
4511e632 / 3862Ignacio SantosNovember 14, 2010 12:40:12 UTC 2010 年 11 月 14 日 (日) 21 時 40 分 12 秒 (日本時間)

19×10194-73

c174

name 名前Ignacio Santos
date 日付November 14, 2010 14:11:25 UTC 2010 年 11 月 14 日 (日) 23 時 11 分 25 秒 (日本時間)
composite number 合成数
207653302624303074609706082732084129246674326170661337777275795418330735610211390527059738268785002676623265111561256073705229219588428323095704349329228140710322592230381971<174>
prime factors 素因数
412448391237645816806750834677<30>
composite cofactor 合成数の残り
503464935336980715286609783035432060058906088931676552686299294531471448112386012809513547448947112498175419019421591238455885716437524365637223<144>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1980699286
Step 1 took 8330ms
Step 2 took 5648ms
********** Factor found in step 2: 412448391237645816806750834677
Found probable prime factor of 30 digits: 412448391237645816806750834677
Composite cofactor 503464935336980715286609783035432060058906088931676552686299294531471448112386012809513547448947112498175419019421591238455885716437524365637223 has 144 digits
software ソフトウェア
GMP-ECM 6.3

c144

name 名前Eric Jeancolas
date 日付May 17, 2020 03:47:43 UTC 2020 年 5 月 17 日 (日) 12 時 47 分 43 秒 (日本時間)
composite number 合成数
503464935336980715286609783035432060058906088931676552686299294531471448112386012809513547448947112498175419019421591238455885716437524365637223<144>
prime factors 素因数
466349659508969085293815953923556199086360343<45>
502471126659840467338991866435528507812263529647<48>
2148554892076764882125651448526366660109428155231263<52>
factorization results 素因数分解の結果
503464935336980715286609783035432060058906088931676552686299294531471448112386012809513547448947112498175419019421591238455885716437524365637223=466349659508969085293815953923556199086360343*502471126659840467338991866435528507812263529647*2148554892076764882125651448526366660109428155231263

n: 503464935336980715286609783035432060058906088931676552686299294531471448112386012809513547448947112498175419019421591238455885716437524365637223
skew: 390756.962
c0: 2533069070741515107569094275204784
c1: 12820194740932216953736804304
c2: -142526173807960149349764
c3: -172268543517888161
c4: -314970925428
c5: 315900
Y0: -7137040220578514888982103205
Y1: 1431032571043643318533
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.92e-07
# found by revision 7f9c8bd19
# f(x) = 315900*x^5-314970925428*x^4-172268543517888161*x^3-142526173807960149349764*x^2+12820194740932216953736804304*x+2533069070741515107569094275204784
# g(x) = 1431032571043643318533*x-7137040220578514888982103205

Info:Square Root: Factors: 466349659508969085293815953923556199086360343 2148554892076764882125651448526366660109428155231263 502471126659840467338991866435528507812263529647
Info:Square Root: Total cpu/real time for sqrt: 14228.3/1932.65
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78388/44.130/51.800/57.690/0.930
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 78388/41.780/46.418/52.500/1.289
Info:Polynomial Selection (size optimized): Total time: 38799
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2098.95
Info:Polynomial Selection (root optimized): Rootsieve time: 2097.96
Info:Generate Factor Base: Total cpu/real time for makefb: 49.54/8.30618
Info:Generate Free Relations: Total cpu/real time for freerel: 1216.49/162.638
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 48402708
Info:Lattice Sieving: Average J: 3792.45 for 1071443 special-q, max bucket fill -bkmult 1.0,1s:1.194090
Info:Lattice Sieving: Total time: 511323s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 311.8/330.905
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 329.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 2424.8/1279.17
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1068.7999999999997s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 2041.14/1028.43
Info:Filtering - Merging: Total cpu/real time for merge: 3941.66/3563.56
Info:Filtering - Merging: Total cpu/real time for replay: 431.44/393.013
Info:Linear Algebra: Total cpu/real time for bwc: 312651/59284.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 38328.17, iteration CPU time 0.33, COMM 0.01, cpu-wait 0.04, comm-wait 0.0 (107000 iterations)
Info:Linear Algebra: Lingen CPU time 609.21, WCT time 145.13
Info:Linear Algebra: Mksol: WCT time 20807.95, iteration CPU time 0.34, COMM 0.01, cpu-wait 0.04, comm-wait 0.0 (54000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 122.86/48.4218
Info:Square Root: Total cpu/real time for sqrt: 14228.3/1932.65
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.23338e+06/600040
466349659508969085293815953923556199086360343 2148554892076764882125651448526366660109428155231263 502471126659840467338991866435528507812263529647
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 18.04 LTS
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 15, 2010 23:24:18 UTC 2010 年 11 月 16 日 (火) 8 時 24 分 18 秒 (日本時間)
403e62710110Ignacio SantosNovember 15, 2010 23:24:18 UTC 2010 年 11 月 16 日 (火) 8 時 24 分 18 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:54:15 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 15 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:43 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 43 秒 (日本時間)
1000Dmitry DomanovJune 4, 2014 12:25:46 UTC 2014 年 6 月 4 日 (水) 21 時 25 分 46 秒 (日本時間)
4511e632 / 3862Ignacio SantosNovember 15, 2010 23:24:18 UTC 2010 年 11 月 16 日 (火) 8 時 24 分 18 秒 (日本時間)

19×10195-73

c192

name 名前Robert Backstrom
date 日付February 26, 2010 23:52:31 UTC 2010 年 2 月 27 日 (土) 8 時 52 分 31 秒 (日本時間)
composite number 合成数
297605062418745986247513431386369688141221433829863884842504268283132058330592234074213304512632551728458875679401030653321429130836583493883432796077878545807684475980138777939633162602008051<192>
prime factors 素因数
35092610359840595487381276868495271<35>
740646836825960529748587827038599334578791122069856141806903<60>
11450210420331120635365016479554681712011435467563855762288445363324280664957108366372809132652627<98>
factorization results 素因数分解の結果
Number: n
N=297605062418745986247513431386369688141221433829863884842504268283132058330592234074213304512632551728458875679401030653321429130836583493883432796077878545807684475980138777939633162602008051
  ( 192 digits)
SNFS difficulty: 196 digits.
Divisors found:

Sat Feb 27 10:17:21 2010  prp35 factor: 35092610359840595487381276868495271
Sat Feb 27 10:17:21 2010  prp60 factor: 740646836825960529748587827038599334578791122069856141806903
Sat Feb 27 10:17:21 2010  prp98 factor: 11450210420331120635365016479554681712011435467563855762288445363324280664957108366372809132652627
Sat Feb 27 10:17:21 2010  elapsed time 07:02:06 (Msieve 1.42 - dependency 3)

Version: 
Total time: 11.25 hours.
Scaled time: 9.47 units (timescale=0.842).
Factorization parameters were as follows:
name: KA_6_3_194_1
n: 297605062418745986247513431386369688141221433829863884842504268283132058330592234074213304512632551728458875679401030653321429130836583493883432796077878545807684475980138777939633162602008051
m: 1000000000000000000000000000000000000000
deg: 5
c5: 19
c0: -7
skew: 0.82
type: snfs
lss: 1
rlim: 13100000
alim: 13100000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 13100000/13100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 9413501)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3232248 hash collisions in 28225113 relations
Msieve: matrix is 1614227 x 1614452 (434.9 MB)

Total sieving time: 11.25 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,196,5,0,0,0,0,0,0,0,0,13100000,13100000,28,28,56,56,2.5,2.5,100000
total time: 11.25 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)
786Wataru SakaiSeptember 5, 2009 05:13:02 UTC 2009 年 9 月 5 日 (土) 14 時 13 分 2 秒 (日本時間)

19×10196-73

c184

name 名前matsui
date 日付May 18, 2011 05:11:02 UTC 2011 年 5 月 18 日 (水) 14 時 11 分 2 秒 (日本時間)
composite number 合成数
3846828447330222502612015630880856682052478204487719930858963232904286130197238258255246375440145604418877970970417267973409763142161469784350925097522912643270364856251112348338956927<184>
prime factors 素因数
174007999280329877307459468619586879<36>
25102448513575659797557505679819442453826087<44>
1147480809544798889849522528705531762436200257199<49>
767488875579371458215145420578781832134251462780693069401<57>
factorization results 素因数分解の結果
N=3846828447330222502612015630880856682052478204487719930858963232904286130197238258255246375440145604418877970970417267973409763142161469784350925097522912643270364856251112348338956927
  ( 184 digits)
SNFS difficulty: 197 digits.
Divisors found:
 r1=174007999280329877307459468619586879 (pp36)
 r2=25102448513575659797557505679819442453826087 (pp44)
 r3=1147480809544798889849522528705531762436200257199 (pp49)
 r4=767488875579371458215145420578781832134251462780693069401 (pp57)
Version: Msieve v. 1.49
Total time:
Scaled time: 190.24 units (timescale=1.259).
Factorization parameters were as follows:
n: 3846828447330222502612015630880856682052478204487719930858963232904286130197238258255246375440145604418877970970417267973409763142161469784350925097522912643270364856251112348338956927
m: 1000000000000000000000000000000000000000
deg: 5
c5: 190
c0: -7
skew: 0.52
type: snfs
lss: 1
rlim: 13600000
alim: 13600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 13600000/13600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6800000, 13520001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2422922 x 2423108
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,197.000,5,0,0,0,0,0,0,0,0,13600000,13600000,28,28,55,55,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 14, 2010 15:13:16 UTC 2010 年 11 月 15 日 (月) 0 時 13 分 16 秒 (日本時間)
403e6110 / 2126Ignacio SantosNovember 14, 2010 15:13:16 UTC 2010 年 11 月 15 日 (月) 0 時 13 分 16 秒 (日本時間)
4511e632 / 4437Ignacio SantosNovember 14, 2010 15:13:16 UTC 2010 年 11 月 15 日 (月) 0 時 13 分 16 秒 (日本時間)

19×10198-73

c180

name 名前Eric Jeancolas
date 日付December 13, 2020 11:58:14 UTC 2020 年 12 月 13 日 (日) 20 時 58 分 14 秒 (日本時間)
composite number 合成数
106297791060106491036675241793190430965628566087089166512741517919028193822338110984987730624365233741832392418507015485531826653094186601906251546731787729930862373129332787988369<180>
prime factors 素因数
16778807650327380001095003116522953206564367572967339<53>
6335241053796361972928766491501071399336233990117332678776857858952479583395351853813633558637897465376546731469911885590030771<127>
factorization results 素因数分解の結果
106297791060106491036675241793190430965628566087089166512741517919028193822338110984987730624365233741832392418507015485531826653094186601906251546731787729930862373129332787988369=16778807650327380001095003116522953206564367572967339*6335241053796361972928766491501071399336233990117332678776857858952479583395351853813633558637897465376546731469911885590030771

cado polynomial
n: 106297791060106491036675241793190430965628566087089166512741517919028193822338110984987730624365233741832392418507015485531826653094186601906251546731787729930862373129332787988369
skew: 0.85
type: snfs
c0: -7
c6: 19
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 19*x^6-7
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14700000
tasks.lim1 = 14700000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Filtering - Merging: Merged matrix has 2777654 rows and total weight 477634643 (172.0 entries per row on average)
Info:Square Root: Factors: 6335241053796361972928766491501071399336233990117332678776857858952479583395351853813633558637897465376546731469911885590030771 16778807650327380001095003116522953206564367572967339
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 9.73/3.46251
Info:Generate Free Relations: Total cpu/real time for freerel: 161.11/40.7549
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29496751
Info:Lattice Sieving: Average J: 1894.49 for 4155268 special-q, max bucket fill -bkmult 1.0,1s:1.166390
Info:Lattice Sieving: Total time: 1.34984e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 57.09/173.308
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 172.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 513.9/625.967
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 561.3000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 427/588.646
Info:Filtering - Merging: Total cpu/real time for merge: 389.43/175.392
Info:Filtering - Merging: Total cpu/real time for replay: 109.25/96.6523
Info:Linear Algebra: Total cpu/real time for bwc: 138272/35373.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 22607.31, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (87040 iterations)
Info:Linear Algebra: Lingen CPU time 569.31, WCT time 164.64
Info:Linear Algebra: Mksol: WCT time 12300.68, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (43520 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 96.25/41.1935
Info:Square Root: Total cpu/real time for sqrt: 783.13/236.254
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.51801e+06/110362
Info:root: Cleaning up computation data in /tmp/cado.7n6k6in3
6335241053796361972928766491501071399336233990117332678776857858952479583395351853813633558637897465376546731469911885590030771 16778807650327380001095003116522953206564367572967339
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
6 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 14, 2010 16:35:36 UTC 2010 年 11 月 15 日 (月) 1 時 35 分 36 秒 (日本時間)
403e62710110Ignacio SantosNovember 14, 2010 16:35:36 UTC 2010 年 11 月 15 日 (月) 1 時 35 分 36 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:54:15 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 15 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:43 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 43 秒 (日本時間)
1000Dmitry DomanovJune 4, 2014 12:26:07 UTC 2014 年 6 月 4 日 (水) 21 時 26 分 7 秒 (日本時間)
4511e632 / 3862Ignacio SantosNovember 14, 2010 16:35:36 UTC 2010 年 11 月 15 日 (月) 1 時 35 分 36 秒 (日本時間)

19×10199-73

c132

name 名前Warut Roonguthai
date 日付September 3, 2011 04:32:30 UTC 2011 年 9 月 3 日 (土) 13 時 32 分 30 秒 (日本時間)
composite number 合成数
178882022784469296244877460397915962731908183340039289083886091943345056515578888063139634850924307675350940193414507071083086235627<132>
prime factors 素因数
3217686024408914190923551031905119172724693<43>
55593374066796884178418176397902247486034882257469853594998594372007559143481914951938239<89>
factorization results 素因数分解の結果
N = 178882022784469296244877460397915962731908183340039289083886091943345056515578888063139634850924307675350940193414507071083086235627 (132 digits)
Divisors found:
r1=3217686024408914190923551031905119172724693 (pp43)
r2=55593374066796884178418176397902247486034882257469853594998594372007559143481914951938239 (pp89)
Version: Msieve v. 1.47
Total time: 56.09 hours.
Factorization parameters were as follows:
n: 178882022784469296244877460397915962731908183340039289083886091943345056515578888063139634850924307675350940193414507071083086235627
Y0: -21201223865643923545569521
Y1: 245745632718397
c0: -103270078645766318582575269785280
c1: -4240414190544338422910791314
c2: -15491341599168010342581
c3: 46608249338881630
c4: 12842355672
c5: 41760
skew: 417960.78
type: gnfs
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20768092
Relations: 2616848 relations
Pruned matrix : 1529132 x 1529357
Polynomial selection time: 0.00 hours.
Total sieving time: 50.23 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 5.57 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,8000000,8000000,28,28,55,55,2.5,2.5,100000
total time: 56.09 hours.
Intel64 Family 6 Model 37 Stepping 5, GenuineIntel
Windows-7-6.1.7600
processors: 4, speed: 2.53GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiMay 30, 2009 06:26:13 UTC 2009 年 5 月 30 日 (土) 15 時 26 分 13 秒 (日本時間)
4511e639632996Wataru SakaiJune 10, 2010 14:38:34 UTC 2010 年 6 月 10 日 (木) 23 時 38 分 34 秒 (日本時間)
967Wataru SakaiAugust 10, 2010 10:04:51 UTC 2010 年 8 月 10 日 (火) 19 時 4 分 51 秒 (日本時間)

19×10201-73

c180

name 名前Bob Backstrom
date 日付October 1, 2021 17:28:43 UTC 2021 年 10 月 2 日 (土) 2 時 28 分 43 秒 (日本時間)
composite number 合成数
101445797712694021877375769514549085683395559119457052536949375470838104523529712292969474733571947107834594536589416131555484713646818660692882014693043571779033073984412799745511<180>
prime factors 素因数
107749867455650388256761127578544501504376180075076074779795970989970249783<75>
941493480300093103942569717114293835371113809457590052507480668681522945995048984589986855750289770942417<105>
factorization results 素因数分解の結果
Number: n
N=101445797712694021877375769514549085683395559119457052536949375470838104523529712292969474733571947107834594536589416131555484713646818660692882014693043571779033073984412799745511  ( 180 digits)
SNFS difficulty: 202 digits.
Divisors found:

Sat Oct  2 03:23:55 2021  p75 factor: 107749867455650388256761127578544501504376180075076074779795970989970249783
Sat Oct  2 03:23:55 2021  p105 factor: 941493480300093103942569717114293835371113809457590052507480668681522945995048984589986855750289770942417
Sat Oct  2 03:23:55 2021  elapsed time 01:28:11 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 19x10^201-7 = 63(200)1
#
n: 101445797712694021877375769514549085683395559119457052536949375470838104523529712292969474733571947107834594536589416131555484713646818660692882014693043571779033073984412799745511
m: 10000000000000000000000000000000000000000
deg: 5
c5: 190
c0: -7
skew: 0.52
# Murphy_E = 1.441e-11
type: snfs
lss: 1
rlim: 16500000
alim: 16500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16500000/16500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 28250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8131310 hash collisions in 66748232 relations (60294584 unique)
Msieve: matrix is 1865209 x 1865441 (643.7 MB)

Sieving start time : 2021/10/01 16:06:35
Sieving end time  : 2021/10/02 01:54:42

Total sieving time: 9hrs 48min 7secs.

Total relation processing time: 1hrs 7min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 22sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16500000,16500000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119850] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239964K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487272K reserved, 0K cma-reserved)
[    0.154026] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.44 BogoMIPS (lpj=12798892)
[    0.150212] smpboot: Total of 16 processors activated (102391.13 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 14, 2010 17:37:44 UTC 2010 年 11 月 15 日 (月) 2 時 37 分 44 秒 (日本時間)
403e62710110Ignacio SantosNovember 14, 2010 17:37:44 UTC 2010 年 11 月 15 日 (月) 2 時 37 分 44 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:54:16 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 16 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:43 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 43 秒 (日本時間)
1000Dmitry DomanovJune 4, 2014 12:26:26 UTC 2014 年 6 月 4 日 (水) 21 時 26 分 26 秒 (日本時間)
4511e6451232Ignacio SantosNovember 14, 2010 17:37:44 UTC 2010 年 11 月 15 日 (月) 2 時 37 分 44 秒 (日本時間)
4480Ignacio SantosAugust 21, 2021 18:46:54 UTC 2021 年 8 月 22 日 (日) 3 時 46 分 54 秒 (日本時間)

19×10202-73

c196

name 名前Wataru Sakai
date 日付May 6, 2010 13:45:20 UTC 2010 年 5 月 6 日 (木) 22 時 45 分 20 秒 (日本時間)
composite number 合成数
2884360857286090599383697097539019292108317344486154832581904197047146198945996855530516773173209406617291570277778675977869301077920568315031835981153829052038560747045818633909314389094116224167<196>
prime factors 素因数
1827213453347611697387192161520979006355241<43>
124897838157731468156813686194057288726302227<45>
1077108264698118017621079777725981942808865961987<49>
11733998531391088812003204392757619778781832288536385117457863<62>
factorization results 素因数分解の結果
Number: 63331_202
N=2884360857286090599383697097539019292108317344486154832581904197047146198945996855530516773173209406617291570277778675977869301077920568315031835981153829052038560747045818633909314389094116224167
  ( 196 digits)
SNFS difficulty: 203 digits.
Divisors found:
 r1=1827213453347611697387192161520979006355241
 r2=124897838157731468156813686194057288726302227
 r3=1077108264698118017621079777725981942808865961987
 r4=11733998531391088812003204392757619778781832288536385117457863
Version: 
Total time: 1211.70 hours.
Scaled time: 2435.51 units (timescale=2.010).
Factorization parameters were as follows:
n: 2884360857286090599383697097539019292108317344486154832581904197047146198945996855530516773173209406617291570277778675977869301077920568315031835981153829052038560747045818633909314389094116224167
m: 10000000000000000000000000000000000000000
deg: 5
c5: 1900
c0: -7
skew: 0.33
type: snfs
lss: 1
rlim: 17100000
alim: 17100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6Factor base limits: 17100000/17100000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8550000, 22250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3668403 x 3668650
Total sieving time: 1211.70 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17100000,17100000,29,29,56,56,2.6,2.6,100000
total time: 1211.70 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)
786Wataru SakaiDecember 16, 2009 14:03:12 UTC 2009 年 12 月 16 日 (水) 23 時 3 分 12 秒 (日本時間)
403e62104Wataru SakaiMarch 26, 2010 10:44:01 UTC 2010 年 3 月 26 日 (金) 19 時 44 分 1 秒 (日本時間)

19×10205-73

c206

name 名前Wataru Sakai
date 日付June 9, 2009 12:55:23 UTC 2009 年 6 月 9 日 (火) 21 時 55 分 23 秒 (日本時間)
composite number 合成数
63333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331<206>
prime factors 素因数
14447627005804904645234614420982884085254814760187<50>
4383649529980713498048347690027570917080963555852230233404851224727836970133139701807922977479993415798243544960995282024391148278612096474108353621266360713<157>
factorization results 素因数分解の結果
Number: 63331_205
N=63333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331
  ( 206 digits)
SNFS difficulty: 206 digits.
Divisors found:
 r1=14447627005804904645234614420982884085254814760187
 r2=4383649529980713498048347690027570917080963555852230233404851224727836970133139701807922977479993415798243544960995282024391148278612096474108353621266360713
Version: 
Total time: 968.77 hours.
Scaled time: 1886.19 units (timescale=1.947).
Factorization parameters were as follows:
n: 63333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331
m: 100000000000000000000000000000000000000000
deg: 5
c5: 19
c0: -7
skew: 0.82
type: snfs
lss: 1
rlim: 19200000
alim: 19200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6Factor base limits: 19200000/19200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [9600000, 18800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3340362 x 3340609
Total sieving time: 968.77 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19200000,19200000,29,29,56,56,2.6,2.6,100000
total time: 968.77 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 28, 2009 07:00:00 UTC 2009 年 5 月 28 日 (木) 16 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJune 1, 2009 13:19:10 UTC 2009 年 6 月 1 日 (月) 22 時 19 分 10 秒 (日本時間)

19×10206-73

c185

name 名前Serge Batalov
date 日付May 19, 2014 00:55:21 UTC 2014 年 5 月 19 日 (月) 9 時 55 分 21 秒 (日本時間)
composite number 合成数
73378062701044275072660189439561023789148140876991310668139622456961863394282697184228347308844620320232028944666238723950314278541938437058037580872328158870302412724177872882382870613<185>
prime factors 素因数
309074242165936214522933806757558166437327<42>
237412416469337996153675001346931771623246447623842225515821193982026406829574907013129948365862503320328061797980061419029876847665450188248219<144>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=4091368026
Step 1 took 50772ms
Step 2 took 25160ms
********** Factor found in step 2: 309074242165936214522933806757558166437327
Found probable prime factor of 42 digits: 309074242165936214522933806757558166437327
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:34 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 34 秒 (日本時間)
403e6300 / 2100Serge BatalovJanuary 9, 2014 04:54:17 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 17 秒 (日本時間)

19×10208-73

c197

name 名前Bob Backstrom
date 日付June 9, 2021 23:45:22 UTC 2021 年 6 月 10 日 (木) 8 時 45 分 22 秒 (日本時間)
composite number 合成数
28981801646707733691977969096447954207788220007184825549871235073747259875962921452802460901986800146522240074780583858614284770933198067277907671784566373873522268542380546711139321203993613897257<197>
prime factors 素因数
38129279176950580016717256049715780935149104835741458533<56>
760093090462288061307872034665711608801715563727049846850711282157475775581616085638702922806445034333826868037311873222763804791999226560629<141>
factorization results 素因数分解の結果
Number: n
N=28981801646707733691977969096447954207788220007184825549871235073747259875962921452802460901986800146522240074780583858614284770933198067277907671784566373873522268542380546711139321203993613897257
  ( 197 digits)
SNFS difficulty: 209 digits.
Divisors found:

Thu Jun 10 09:34:06 2021  p56 factor: 38129279176950580016717256049715780935149104835741458533
Thu Jun 10 09:34:06 2021  p141 factor: 760093090462288061307872034665711608801715563727049846850711282157475775581616085638702922806445034333826868037311873222763804791999226560629
Thu Jun 10 09:34:06 2021  elapsed time 04:11:43 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 19x10^208-7 = 63(207)1
#
n: 28981801646707733691977969096447954207788220007184825549871235073747259875962921452802460901986800146522240074780583858614284770933198067277907671784566373873522268542380546711139321203993613897257
m: 100000000000000000000000000000000000000000
deg: 5
c5: 19000
c0: -7
skew: 0.21
# Murphy_E = 4.402e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 67000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8480640 hash collisions in 59824109 relations (52483556 unique)
Msieve: matrix is 3203868 x 3204093 (1116.0 MB)

Sieving start time : 2021/06/09 01:06:01
Sieving end time  : 2021/06/10 05:21:15

Total sieving time: 28hrs 15min 14secs.

Total relation processing time: 3hrs 50min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 20sec.

Prototype def-par.txt line would be:
snfs,209,5,0,0,0,0,0,0,0,0,22000000,22000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119993] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241092K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 486144K reserved, 0K cma-reserved)
[    0.154044] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.33 BogoMIPS (lpj=12798672)
[    0.150212] smpboot: Total of 16 processors activated (102389.37 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 4, 2014 23:28:44 UTC 2014 年 1 月 5 日 (日) 8 時 28 分 44 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:54:18 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 18 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:44 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 44 秒 (日本時間)
1000Dmitry DomanovJune 4, 2014 12:26:45 UTC 2014 年 6 月 4 日 (水) 21 時 26 分 45 秒 (日本時間)

19×10210-73

c206

name 名前Serge Batalov
date 日付November 2, 2013 21:24:43 UTC 2013 年 11 月 3 日 (日) 6 時 24 分 43 秒 (日本時間)
composite number 合成数
20633984607047483142577575637128574702083272245878904574337187544458091834263491639435236981313211940343892503456192421680453426381743919219036262598948101184716516201478913696730382239134849605402194369963<206>
prime factors 素因数
3690156659288746036135697346147355027<37>
composite cofactor 合成数の残り
5591628354072249868618718688840763315347554097437230570107422104128682106759329209093328491328229484442824107278027209299924813341517350352318010452352100055251966495369<169>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3493724838
Step 1 took 12272ms
Step 2 took 7469ms
********** Factor found in step 2: 3690156659288746036135697346147355027
Found probable prime factor of 37 digits: 3690156659288746036135697346147355027
Composite cofactor 

c169

name 名前Cyp
date 日付January 6, 2014 11:49:32 UTC 2014 年 1 月 6 日 (月) 20 時 49 分 32 秒 (日本時間)
composite number 合成数
5591628354072249868618718688840763315347554097437230570107422104128682106759329209093328491328229484442824107278027209299924813341517350352318010452352100055251966495369<169>
prime factors 素因数
680285770699831955096847216126427<33>
composite cofactor 合成数の残り
8219528608278784212570710518832316970268218349505155399681388102769018047085342369115101653123400342504948223410590688398834988730147947<136>
factorization results 素因数分解の結果
Run 156 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2461288201
Step 1 took 13642ms
********** Factor found in step 1: 680285770699831955096847216126427
Found probable prime factor of 33 digits: 680285770699831955096847216126427
Composite cofactor 8219528608278784212570710518832316970268218349505155399681388102769018047085342369115101653123400342504948223410590688398834988730147947 has 136 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c136

name 名前Erik Branger
date 日付December 14, 2014 14:00:00 UTC 2014 年 12 月 14 日 (日) 23 時 0 分 0 秒 (日本時間)
composite number 合成数
8219528608278784212570710518832316970268218349505155399681388102769018047085342369115101653123400342504948223410590688398834988730147947<136>
prime factors 素因数
272771784035759310828544197460177204759463353720507<51>
30133353555370801316010708172463336862766424162079352792731718429302436202271361723921<86>
factorization results 素因数分解の結果
Number: 63331_210
N = 8219528608278784212570710518832316970268218349505155399681388102769018047085342369115101653123400342504948223410590688398834988730147947 (136 digits)
Divisors found:
r1=272771784035759310828544197460177204759463353720507 (pp51)
r2=30133353555370801316010708172463336862766424162079352792731718429302436202271361723921 (pp86)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 103.45 hours.
Factorization parameters were as follows:
# Murphy_E = 3.899e-11, selected by Erik Branger
# expecting poly E from 3.64e-011 to > 4.18e-011
n: 8219528608278784212570710518832316970268218349505155399681388102769018047085342369115101653123400342504948223410590688398834988730147947
Y0: -255425971591437108750941036
Y1: 21099494427643
c0: -14720196398228672855797072665795
c1: 1756767105032286997917108229
c2: 18439183286229781687445
c3: 12956473384270683
c4: -32510477178
c5: 7560
skew: 686784.74
type: gnfs
# selected mechanically
rlim: 14100000
alim: 14100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 14100000/14100000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22161488
Relations: 3302066 relations
Pruned matrix : 2006488 x 2006716
Polynomial selection time: 0.00 hours.
Total sieving time: 100.53 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.68 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: gnfs,135,5,65,2000,1e-05,0.28,250,20,50000,3600,14100000,14100000,28,28,55,55,2.6,2.6,100000
total time: 103.45 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 KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 6, 2014 11:49:31 UTC 2014 年 1 月 6 日 (月) 20 時 49 分 31 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:54:19 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 19 秒 (日本時間)
4511e62790 / 4345230Ignacio SantosFebruary 4, 2014 22:33:09 UTC 2014 年 2 月 5 日 (水) 7 時 33 分 9 秒 (日本時間)
230Ignacio SantosFebruary 5, 2014 15:45:52 UTC 2014 年 2 月 6 日 (木) 0 時 45 分 52 秒 (日本時間)
230Ignacio SantosFebruary 5, 2014 19:18:25 UTC 2014 年 2 月 6 日 (木) 4 時 18 分 25 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:06 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 6 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:27 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 27 秒 (日本時間)

19×10211-73

c178

name 名前Serge Batalov
date 日付November 4, 2013 06:01:34 UTC 2013 年 11 月 4 日 (月) 15 時 1 分 34 秒 (日本時間)
composite number 合成数
4242529709152718348716605404031169508429748375193533662376932039996930135195888307936481243203789525985377577043141508848419000335219746567242821327308079760336708842533756217199<178>
prime factors 素因数
193591842823654552952048310238145419938979<42>
21914816488509262548611586663036265077656449424955091613332057706673911850522432918998241962563821922490595831773056914671010585971178181<137>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3641847235
Step 1 took 15961ms
Step 2 took 6465ms
********** Factor found in step 2: 193591842823654552952048310238145419938979
Found probable prime factor of 42 digits: 193591842823654552952048310238145419938979
Probable prime cofactor

ECM

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

19×10212-73

c192

composite cofactor 合成数の残り
523290849118106815306388947355943432698641660027696093476643607127102780632250853897507182513393660417668936324017318340262846283565322507355193277194044494737372320230548223393345692269857859<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 4, 2014 23:54:36 UTC 2014 年 1 月 5 日 (日) 8 時 54 分 36 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:54:19 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 19 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:44 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 44 秒 (日本時間)
1000Dmitry DomanovJune 4, 2014 12:27:10 UTC 2014 年 6 月 4 日 (水) 21 時 27 分 10 秒 (日本時間)
4511e60 / 3699--
5043e639 / 7444CypJanuary 12, 2014 17:18:01 UTC 2014 年 1 月 13 日 (月) 2 時 18 分 1 秒 (日本時間)

19×10214-73

c159

composite cofactor 合成数の残り
126354622245851913634896565923575587533891757102220813273537475505571261047325238715586026326273377569825663806078111185402448999785226882321836430043455874613<159>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 5, 2014 20:27:36 UTC 2014 年 1 月 6 日 (月) 5 時 27 分 36 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:54:20 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 20 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:44 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 44 秒 (日本時間)
1000Dmitry DomanovJune 4, 2014 12:27:26 UTC 2014 年 6 月 4 日 (水) 21 時 27 分 26 秒 (日本時間)

19×10218-73

c210

name 名前Bob Backstrom
date 日付February 18, 2020 23:04:43 UTC 2020 年 2 月 19 日 (水) 8 時 4 分 43 秒 (日本時間)
composite number 合成数
941507921951964470971631661171706816992023584032131290794135287492290790670042809022323540829851018863674634469323640971111250100805147198834574933773849627675712182719009300092857011651288876551236938167616361<210>
prime factors 素因数
2780846690446220530633408761719131397224639<43>
25301442091794446643441504299906248356217641403<47>
13381403200962074473394795893805355386954028310239986906574740083342392081231057231693156937485920717385233789338384630933<122>
factorization results 素因数分解の結果
#
# N = 19x10^218-7 = 63(217)1
#
n: 941507921951964470971631661171706816992023584032131290794135287492290790670042809022323540829851018863674634469323640971111250100805147198834574933773849627675712182719009300092857011651288876551236938167616361
m: 1000000000000000000000000000000000000
deg: 6
c6: 1900
c0: -7
skew: 0.39
# Murphy_E = 1.763e-12
type: snfs
lss: 1
rlim: 32000000
alim: 32000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6



GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM]
Input number is 941507921951964470971631661171706816992023584032131290794135287492290790670042809022323540829851018863674634469323640971111250100805147198834574933773849627675712182719009300092857011651288876551236938167616361 (210 digits)
Using B1=400110000, B2=4767896883766, polynomial Dickson(30), sigma=2325408330
Step 1 took 2200688ms
Step 2 took 448990ms
********** Factor found in step 2: 25301442091794446643441504299906248356217641403
Found probable prime factor of 47 digits: 25301442091794446643441504299906248356217641403
Composite cofactor 37211630804921846451826302637517719535977266730976638375108265639256157061815009018966947022345442034687528997509051012337410009933323979441931582582363088509158187 has 164 digits



GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM]
Input number is 37211630804921846451826302637517719535977266730976638375108265639256157061815009018966947022345442034687528997509051012337410009933323979441931582582363088509158187 (164 digits)
Using B1=100060000, B2=776268975310, polynomial Dickson(30), sigma=2128539311
Step 1 took 391820ms
Step 2 took 119429ms
********** Factor found in step 2: 2780846690446220530633408761719131397224639
Found probable prime factor of 43 digits: 2780846690446220530633408761719131397224639
Probable prime cofactor 13381403200962074473394795893805355386954028310239986906574740083342392081231057231693156937485920717385233789338384630933 has 122 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 3, 2014 02:26:22 UTC 2014 年 1 月 3 日 (金) 11 時 26 分 22 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:54:21 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 21 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:45 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 45 秒 (日本時間)
1000Dmitry DomanovJune 4, 2014 12:27:46 UTC 2014 年 6 月 4 日 (水) 21 時 27 分 46 秒 (日本時間)

19×10219-73

c212

name 名前Bob Backstrom
date 日付September 4, 2019 00:17:15 UTC 2019 年 9 月 4 日 (水) 9 時 17 分 15 秒 (日本時間)
composite number 合成数
22328168283907059554196943706928397831343985789827229416747806936418696974941097910137858846906851877553401583798320081970889363859168735668187775481341338667960497056379448708758326366386624547233075935031973179<212>
prime factors 素因数
229218973020580115081974842461902777781307158830462390597616372231900671832599242329915698039<93>
97409773674809873621849937585284948421183938282242431335035049614704770571558865574941710881828503059379843182747815261<119>
factorization results 素因数分解の結果
Number: n
N=22328168283907059554196943706928397831343985789827229416747806936418696974941097910137858846906851877553401583798320081970889363859168735668187775481341338667960497056379448708758326366386624547233075935031973179
  ( 212 digits)
SNFS difficulty: 220 digits.
Divisors found:

Wed Sep  4 10:13:15 2019  p93 factor: 229218973020580115081974842461902777781307158830462390597616372231900671832599242329915698039
Wed Sep  4 10:13:15 2019  p119 factor: 97409773674809873621849937585284948421183938282242431335035049614704770571558865574941710881828503059379843182747815261
Wed Sep  4 10:13:15 2019  elapsed time 08:44:30 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.123).
Factorization parameters were as follows:
#
# N = 19x10^219-7 = 63(218)1
#
n: 22328168283907059554196943706928397831343985789827229416747806936418696974941097910137858846906851877553401583798320081970889363859168735668187775481341338667960497056379448708758326366386624547233075935031973179
m: 1000000000000000000000000000000000000
deg: 6
c6: 19000
c0: -7
skew: 0.27
# Murphy_E = 1.923e-12
type: snfs
lss: 1
rlim: 33000000
alim: 33000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 33000000/33000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 85300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13344902 hash collisions in 70271969 relations (57790608 unique)
Msieve: matrix is 4350818 x 4351044 (1521.6 MB)

Sieving start time: 2019/09/02 09:05:51
Sieving end time  : 2019/09/04 01:26:30

Total sieving time: 40hrs 20min 39secs.

Total relation processing time: 8hrs 0min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 21min 29sec.

Prototype def-par.txt line would be:
snfs,220,6,0,0,0,0,0,0,0,0,33000000,33000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.040000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284080K/16703460K available (12300K kernel code, 2478K rwdata, 4280K rodata, 2424K init, 2384K bss, 419380K reserved, 0K cma-reserved)
[    0.072549] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.52 BogoMIPS (lpj=11977052)
[    0.070220] smpboot: Total of 16 processors activated (95816.41 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 1, 2014 12:12:19 UTC 2014 年 1 月 1 日 (水) 21 時 12 分 19 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:54:22 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 22 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:45 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 45 秒 (日本時間)
1000Dmitry DomanovJune 4, 2014 12:28:02 UTC 2014 年 6 月 4 日 (水) 21 時 28 分 2 秒 (日本時間)

19×10220-73

c214

name 名前Serge Batalov
date 日付November 2, 2013 21:18:40 UTC 2013 年 11 月 3 日 (日) 6 時 18 分 40 秒 (日本時間)
composite number 合成数
9396348410862356799032037641178280330757398598193398709169218887985685503921961644995967235625453837446436486792369037528570462796370101590846294977785301450435177040309493956689065088554896508865875088603856429533<214>
prime factors 素因数
72190746782271268329437189890847<32>
130160011215868578770757604772542109890534919834419618918298626342585852203555151840207801359073363476604903458493906520934712966751229786431314820368937821847670915895695703238129539<183>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=4076163627
Step 1 took 14061ms
Step 2 took 8060ms
********** Factor found in step 2: 72190746782271268329437189890847
Found probable prime factor of 32 digits: 72190746782271268329437189890847
Probable prime cofactor

ECM

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

19×10221-73

c219

name 名前Bob Backstrom
date 日付May 28, 2019 17:22:30 UTC 2019 年 5 月 29 日 (水) 2 時 22 分 30 秒 (日本時間)
composite number 合成数
852400179452669358456707043517272319425751458052938537460744728577837595334230596680125616868550919694930462090623598026020637056976222521310004486316733961417676087931807985643786451323463436518618214445939883355764917<219>
prime factors 素因数
1853936948433636231889291817688608212266809297819498977<55>
2092812005379509534357155491710518952182909189630676217355206489541157584395533<79>
219694080133907028128790079359433918889386815705656345516661643715062696179826752754537<87>
factorization results 素因数分解の結果
Number: n
N=852400179452669358456707043517272319425751458052938537460744728577837595334230596680125616868550919694930462090623598026020637056976222521310004486316733961417676087931807985643786451323463436518618214445939883355764917
  ( 219 digits)
SNFS difficulty: 222 digits.
Divisors found:

Wed May 29 03:05:55 2019  found factor: 219694080133907028128790079359433918889386815705656345516661643715062696179826752754537
Wed May 29 03:12:25 2019  found factor: 219694080133907028128790079359433918889386815705656345516661643715062696179826752754537
Wed May 29 03:18:59 2019  p55 factor: 1853936948433636231889291817688608212266809297819498977
Wed May 29 03:18:59 2019  p79 factor: 2092812005379509534357155491710518952182909189630676217355206489541157584395533
Wed May 29 03:18:59 2019  p87 factor: 219694080133907028128790079359433918889386815705656345516661643715062696179826752754537
Wed May 29 03:18:59 2019  elapsed time 11:57:41 (Msieve 1.54 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.121).
Factorization parameters were as follows:
#
# N = 19x10^221-7 = 63(220)1
#
n: 852400179452669358456707043517272319425751458052938537460744728577837595334230596680125616868550919694930462090623598026020637056976222521310004486316733961417676087931807985643786451323463436518618214445939883355764917
m: 100000000000000000000000000000000000000000000
deg: 5
c5: 190
c0: -7
skew: 0.52
# Murphy_E = 1.79e-12
type: snfs
lss: 1
rlim: 35000000
alim: 35000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 35000000/35000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 71900000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13019060 hash collisions in 68335500 relations (56858767 unique)
Msieve: matrix is 4336460 x 4336685 (1521.2 MB)

Sieving start time: 2019/05/27 05:12:34
Sieving end time  : 2019/05/28 15:19:51

Total sieving time: 34hrs 7min 17secs.

Total relation processing time: 11hrs 15min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 19min 38sec.

Prototype def-par.txt line would be:
snfs,222,5,0,0,0,0,0,0,0,0,35000000,35000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284432K/16703460K available (12300K kernel code, 2474K rwdata, 4276K rodata, 2412K init, 2416K bss, 419028K reserved, 0K cma-reserved)
[    0.080563] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.52 BogoMIPS (lpj=11977044)
[    0.078215] smpboot: Total of 16 processors activated (95816.35 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e60--
4511e64250850Serge BatalovNovember 8, 2013 17:15:14 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 14 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:16 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 16 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:34 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 34 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:42 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 42 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:27 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 27 秒 (日本時間)
5043e665 / 6599KTakahashiSeptember 1, 2014 22:13:18 UTC 2014 年 9 月 2 日 (火) 7 時 13 分 18 秒 (日本時間)

19×10222-73

c192

name 名前Erik Branger
date 日付February 16, 2022 20:20:04 UTC 2022 年 2 月 17 日 (木) 5 時 20 分 4 秒 (日本時間)
composite number 合成数
224761518638643857288506863828414740384946672589532900416648132846771157996158649397248935943689802820204809534634699276126146901288059424087755194405176559376944024299821025954856212846141847<192>
prime factors 素因数
844021029681005907951590503427698351623315716034584253204052815971541985558335953<81>
266298481595407047664326351916254073521938419188087353423826266069637726510453081210298361429553101092027002599<111>
factorization results 素因数分解の結果
Number: 63331_222
N = 224761518638643857288506863828414740384946672589532900416648132846771157996158649397248935943689802820204809534634699276126146901288059424087755194405176559376944024299821025954856212846141847 (192 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=844021029681005907951590503427698351623315716034584253204052815971541985558335953 (pp81)
r2=266298481595407047664326351916254073521938419188087353423826266069637726510453081210298361429553101092027002599 (pp111)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 72.11 hours.
Factorization parameters were as follows:
n: 224761518638643857288506863828414740384946672589532900416648132846771157996158649397248935943689802820204809534634699276126146901288059424087755194405176559376944024299821025954856212846141847
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1900
c0: -7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33186801
Relations: 10375066 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 25.26 hours.
Total relation processing time: 0.41 hours.
Pruned matrix : 8800446 x 8800671
Matrix solve time: 46.17 hours.
time per square root: 0.27 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 72.11 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:35 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 35 秒 (日本時間)
403e62600300Serge BatalovJanuary 9, 2014 04:54:22 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 22 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:46 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 46 秒 (日本時間)
1000Dmitry DomanovJune 4, 2014 12:28:23 UTC 2014 年 6 月 4 日 (水) 21 時 28 分 23 秒 (日本時間)

19×10223-73

c193

name 名前Serge Batalov
date 日付November 2, 2013 21:22:28 UTC 2013 年 11 月 3 日 (日) 6 時 22 分 28 秒 (日本時間)
composite number 合成数
5075999443214011014940606885775620235648806945275607761440785532450415504600105780633597582110655806650101131151335467607239485830405296469302989588022647467049063508127123466758661207949030237<193>
prime factors 素因数
5615176653826860050051088932751176347<37>
composite cofactor 合成数の残り
903978584494685752021027021999457947520723182954602133272403890036469558889316136751347102448902943942995478635575640057881595704874758250268821825717056871<156>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=1622667753
Step 1 took 12549ms
Step 2 took 7348ms
********** Factor found in step 2: 5615176653826860050051088932751176347
Found probable prime factor of 37 digits: 5615176653826860050051088932751176347
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 6, 2014 16:35:16 UTC 2014 年 1 月 7 日 (火) 1 時 35 分 16 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:54:23 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 23 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:46 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 46 秒 (日本時間)
1000Dmitry DomanovJune 4, 2014 12:28:41 UTC 2014 年 6 月 4 日 (水) 21 時 28 分 41 秒 (日本時間)

19×10224-73

c204

composite cofactor 合成数の残り
983130187652757494295406612103567958674175765779649330938776348104633670983090043253245033862797489277059668642828131799256092652770615882108502994420091953045544219035496198134687045019387879883581243469<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 4, 2014 17:44:37 UTC 2014 年 1 月 5 日 (日) 2 時 44 分 37 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:54:24 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 24 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:46 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 46 秒 (日本時間)
1000Dmitry DomanovJune 4, 2014 12:28:57 UTC 2014 年 6 月 4 日 (水) 21 時 28 分 57 秒 (日本時間)

19×10225-73

c189

name 名前Serge Batalov
date 日付January 9, 2014 07:44:56 UTC 2014 年 1 月 9 日 (木) 16 時 44 分 56 秒 (日本時間)
composite number 合成数
178383349713406871145011546121935054058827245967235302498390570820586150571721000358558020440378623965403367096345613645222929247819331059226945274906862972271585520728872672362037661181189<189>
prime factors 素因数
1061959126370250854076406228125978773<37>
167975720801154184021094098172751241791406391288143928893507199282096472266377259979544580359457948151276906966204196803676437491139362796980990833686193<153>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3942372149
Step 1 took 16240ms
Step 2 took 6748ms
********** Factor found in step 2: 1061959126370250854076406228125978773
Found probable prime factor of 37 digits: 1061959126370250854076406228125978773
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:36 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 36 秒 (日本時間)
403e6300 / 2100Serge BatalovJanuary 9, 2014 04:54:24 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 24 秒 (日本時間)

19×10226-73

c227

name 名前Serge Batalov
date 日付November 3, 2013 14:07:45 UTC 2013 年 11 月 3 日 (日) 23 時 7 分 45 秒 (日本時間)
composite number 合成数
63333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331<227>
prime factors 素因数
857801612972294397267047286839419<33>
73832145306748097033624644449172413719533265787486752944336724522883734834479426983855246965651931229619924645404710609071342316165572745936572928121603639289379352180771242255044390656914922249<194>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2786301097
Step 1 took 14097ms
Step 2 took 8325ms
********** Factor found in step 2: 857801612972294397267047286839419
Found probable prime factor of 33 digits: 857801612972294397267047286839419
Probable prime cofactor 

ECM

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

19×10227-73

c191

name 名前Serge Batalov
date 日付November 2, 2013 14:12:45 UTC 2013 年 11 月 2 日 (土) 23 時 12 分 45 秒 (日本時間)
composite number 合成数
27745353125640042529517208082913929847765489055302742143518738516842540509467828685683786225089345103942916465311652174660347239180925669720235516937245630933586675469244269563671531364017813<191>
prime factors 素因数
969691291156825786460477933<27>
composite cofactor 合成数の残り
28612562965828322407560156614781766055149973378594304959449808361817074618108947210068898206681130900687355587111832426675987202382658682352238789592276650447948361<164>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2470112366
Step 1 took 10708ms
Step 2 took 6689ms
********** Factor found in step 2: 969691291156825786460477933
Found probable prime factor of 27 digits: 969691291156825786460477933
Composite cofactor

c164

name 名前Serge Batalov
date 日付May 26, 2014 18:41:31 UTC 2014 年 5 月 27 日 (火) 3 時 41 分 31 秒 (日本時間)
composite number 合成数
28612562965828322407560156614781766055149973378594304959449808361817074618108947210068898206681130900687355587111832426675987202382658682352238789592276650447948361<164>
prime factors 素因数
2476957606442752756886006694904159251947<40>
11551494822279112607808454981586875196470698571708285620029171556798140275166941524496640965504580181571907902816740413323163<125>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1556327437
Step 1 took 12241ms
Step 2 took 5651ms
********** Factor found in step 2: 2476957606442752756886006694904159251947
Found probable prime factor of 40 digits: 2476957606442752756886006694904159251947
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:37 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 37 秒 (日本時間)
403e61600 / 2100300Serge BatalovJanuary 9, 2014 04:54:28 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 28 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:47 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 47 秒 (日本時間)

19×10229-73

c173

composite cofactor 合成数の残り
12774763393787705194911449014642736494544606379520108563532362353605292069423509372348534571800540529365098627208357065014827326895822587903843610018444941517210960933658423<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 4, 2014 14:43:26 UTC 2014 年 1 月 4 日 (土) 23 時 43 分 26 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:54:29 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 29 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:47 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 47 秒 (日本時間)
1000Dmitry DomanovJune 4, 2014 12:29:15 UTC 2014 年 6 月 4 日 (水) 21 時 29 分 15 秒 (日本時間)

19×10231-73

c208

composite cofactor 合成数の残り
1791757662633830527256630555249074479549466658507650497330778374660328354898293188667844252298648125746539668484227772487986933513010202266438490525740751066843753114757081684920582985005329334183448394383139<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 5, 2014 13:05:06 UTC 2014 年 1 月 5 日 (日) 22 時 5 分 6 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:54:29 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 29 秒 (日本時間)
4511e6300 / 3682Serge BatalovMay 27, 2014 00:34:28 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 28 秒 (日本時間)
5043e6189 / 746339CypJanuary 12, 2014 04:58:28 UTC 2014 年 1 月 12 日 (日) 13 時 58 分 28 秒 (日本時間)
150CypFebruary 6, 2014 19:47:45 UTC 2014 年 2 月 7 日 (金) 4 時 47 分 45 秒 (日本時間)

19×10232-73

c159

name 名前Serge Batalov
date 日付November 8, 2013 07:20:39 UTC 2013 年 11 月 8 日 (金) 16 時 20 分 39 秒 (日本時間)
composite number 合成数
851227109619998258038690556802060774192492352085708189267109239633162925315332468439680849192062418075480555363876704677093209584418742112612648550197860315977<159>
prime factors 素因数
369905814323652701295317440420694216528909<42>
composite cofactor 合成数の残り
2301199593676050718483029436381026513993928811841303282469523374130526914901245348448055622997695267258410857140478253<118>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3785691788
Step 1 took 40154ms
Step 2 took 14938ms
********** Factor found in step 2: 369905814323652701295317440420694216528909
Found probable prime factor of 42 digits: 369905814323652701295317440420694216528909
Composite cofactor 

c118

name 名前Dmitry Domanov
date 日付November 10, 2013 09:33:09 UTC 2013 年 11 月 10 日 (日) 18 時 33 分 9 秒 (日本時間)
composite number 合成数
2301199593676050718483029436381026513993928811841303282469523374130526914901245348448055622997695267258410857140478253<118>
prime factors 素因数
3722765650950526234577951502317318722766941<43>
618142480467039356638530169191160956619745826712793772366241219539883241233<75>
factorization results 素因数分解の結果
N=2301199593676050718483029436381026513993928811841303282469523374130526914901245348448055622997695267258410857140478253
  ( 118 digits)
Divisors found:
 r1=3722765650950526234577951502317318722766941 (pp43)
 r2=618142480467039356638530169191160956619745826712793772366241219539883241233 (pp75)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 45.81 hours.
Scaled time: 39.95 units (timescale=0.872).
Factorization parameters were as follows:
n: 2301199593676050718483029436381026513993928811841303282469523374130526914901245348448055622997695267258410857140478253
skew: 112896.27
c0: -60551351952056858916210171096
c1: 1409388422073078534402230
c2: -5662477042166129731
c3: -279408776351269
c4: 2101955223
c5: 12420
Y0: -45036687982546594955885
Y1: 287230203637
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 200000
type: gnfs
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2400000, 3800001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 615381 x 615620
Total sieving time: 44.77 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 0.61 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4800000,4800000,27,27,54,54,2.5,2.5,100000
total time: 45.81 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 3, 2013 13:17:13 UTC 2013 年 11 月 3 日 (日) 22 時 17 分 13 秒 (日本時間)
403e6110Ignacio SantosNovember 3, 2013 13:17:13 UTC 2013 年 11 月 3 日 (日) 22 時 17 分 13 秒 (日本時間)
4511e6882 / 443732Ignacio SantosNovember 3, 2013 13:17:13 UTC 2013 年 11 月 3 日 (日) 22 時 17 分 13 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:12:38 UTC 2013 年 11 月 9 日 (土) 2 時 12 分 38 秒 (日本時間)

19×10233-73

c214

name 名前Serge Batalov
date 日付November 2, 2013 22:34:44 UTC 2013 年 11 月 3 日 (日) 7 時 34 分 44 秒 (日本時間)
composite number 合成数
1017837946436837179459596089946294485763827152468096809600735119582523820978747989244056544061425266587718256579911947331787284402362803495171042963048558545075941043419536117460793872798639376396561157378641555121<214>
prime factors 素因数
653191921721754908515059680196797<33>
composite cofactor 合成数の残り
1558252502195538923841178465084219440107906529935267808907529369573790611217364737982958462910102974647301726412841799098489778326831062891833032926531493859847453160722624046649093<181>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3502531464
Step 1 took 14344ms
Step 2 took 8001ms
********** Factor found in step 2: 653191921721754908515059680196797
Found probable prime factor of 33 digits: 653191921721754908515059680196797
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 2, 2014 22:59:57 UTC 2014 年 1 月 3 日 (金) 7 時 59 分 57 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:54:30 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 30 秒 (日本時間)
4511e6300 / 3682Serge BatalovMay 27, 2014 00:34:28 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 28 秒 (日本時間)
5043e6189 / 7463CypFebruary 12, 2014 06:07:38 UTC 2014 年 2 月 12 日 (水) 15 時 7 分 38 秒 (日本時間)

19×10234-73

c227

name 名前Serge Batalov
date 日付November 2, 2013 21:24:00 UTC 2013 年 11 月 3 日 (日) 6 時 24 分 0 秒 (日本時間)
composite number 合成数
20297131264251677454009726430169172198497564253979469176112532261048280575689072356866144597316490423417675466405669487857880580796257890978482469533843061173084858330782918669725119594089166432146668284070278210225073638713309<227>
prime factors 素因数
2562237233233572674377093385336995661<37>
composite cofactor 合成数の残り
7921644023038594987931503777173006094954537570650828642539557694711672763642563258449538295111880919715837916875543968345756262463263492235935795232141028660373858157690851968584341346050769<190>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=780476737
Step 1 took 13957ms
Step 2 took 8173ms
********** Factor found in step 2: 2562237233233572674377093385336995661
Found probable prime factor of 37 digits: 2562237233233572674377093385336995661
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:38 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 38 秒 (日本時間)
403e62600300Serge BatalovJanuary 9, 2014 04:54:31 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 31 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:48 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 48 秒 (日本時間)
1000Dmitry DomanovJune 4, 2014 12:29:46 UTC 2014 年 6 月 4 日 (水) 21 時 29 分 46 秒 (日本時間)

19×10235-73

c219

composite cofactor 合成数の残り
540968972859631136126949969481190883189115874358926969222923354712465719793281942966186269407123815258915636786267184735040786797421382230329571320101880425882341169881597829235265073390276132040659153496769779260243109<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:38 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 38 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 04:54:31 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 31 秒 (日本時間)
4511e6300 / 3681Serge BatalovMay 27, 2014 00:34:29 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 29 秒 (日本時間)
5043e6197 / 746947CypJanuary 11, 2014 21:04:18 UTC 2014 年 1 月 12 日 (日) 6 時 4 分 18 秒 (日本時間)
150CypFebruary 11, 2014 01:47:06 UTC 2014 年 2 月 11 日 (火) 10 時 47 分 6 秒 (日本時間)

19×10236-73

c193

composite cofactor 合成数の残り
3337032898750401076139951416675543887451754626301170360733691441429608530837791620814464695389274510216283093578660893907375705453433484640773574608580985409316912992140895992792087427411348071<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 1, 2014 18:16:42 UTC 2014 年 1 月 2 日 (木) 3 時 16 分 42 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:54:32 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 32 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:48 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 48 秒 (日本時間)
1000Dmitry DomanovJune 4, 2014 12:30:12 UTC 2014 年 6 月 4 日 (水) 21 時 30 分 12 秒 (日本時間)
4511e60 / 3699--
5043e639 / 7444CypJanuary 29, 2014 13:26:13 UTC 2014 年 1 月 29 日 (水) 22 時 26 分 13 秒 (日本時間)

19×10237-73

c199

name 名前Serge Batalov
date 日付November 2, 2013 14:17:33 UTC 2013 年 11 月 2 日 (土) 23 時 17 分 33 秒 (日本時間)
composite number 合成数
1651881784454222297401591933062150053365225988599536106058328109424467716801721177128751864825670418334654822341552733342129195174476759370548905326298657861074326280863216687645770832641694452887679<199>
prime factors 素因数
60039603122896555514877930863<29>
composite cofactor 合成数の残り
27513202928289589561958768088487892931625076491142748739087994241338946986931230715196719484161263919671484905683707447629033111559076648344063876954927899792360599848433<170>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3241170124
Step 1 took 12325ms
Step 2 took 7160ms
********** Factor found in step 2: 60039603122896555514877930863
Found probable prime factor of 29 digits: 60039603122896555514877930863
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:39 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 39 秒 (日本時間)
403e62600300Serge BatalovJanuary 9, 2014 04:54:33 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 33 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:49 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 49 秒 (日本時間)
1000Dmitry DomanovJune 4, 2014 12:30:29 UTC 2014 年 6 月 4 日 (水) 21 時 30 分 29 秒 (日本時間)

19×10238-73

c234

composite cofactor 合成数の残り
214665252135636804470460366580461620677460939397739687876723394784086299950626992008803534971794115686493827244183983938519871788353619199660151011355791837975186956487353392106419733837683694140429488678667584078165267388167877265707<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 2, 2014 22:18:44 UTC 2014 年 1 月 3 日 (金) 7 時 18 分 44 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:54:33 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 33 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:49 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 49 秒 (日本時間)
1000Dmitry DomanovJune 4, 2014 12:30:46 UTC 2014 年 6 月 4 日 (水) 21 時 30 分 46 秒 (日本時間)

19×10239-73

c193

composite cofactor 合成数の残り
2398849210471692577694299102306144567422996060614140809682724816135800231053405009077651168400163771347635097571015677189554313608820904660767440097617706098954259284831093639206124901474002687<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 4, 2014 12:40:20 UTC 2014 年 1 月 4 日 (土) 21 時 40 分 20 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:54:34 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 34 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:49 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 49 秒 (日本時間)
1000Dmitry DomanovJune 4, 2014 12:31:04 UTC 2014 年 6 月 4 日 (水) 21 時 31 分 4 秒 (日本時間)

19×10240-73

c206

composite cofactor 合成数の残り
89847812918891497874274651407239188652588503419484361259833191750932375359398047591637586148454213904206150679960860367851820551912719733967833223980628639714700651864072455116455015201066745425686562325811<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6265656CypDecember 28, 2013 15:20:30 UTC 2013 年 12 月 29 日 (日) 0 時 20 分 30 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:54:34 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 34 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:50 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 50 秒 (日本時間)
1000Dmitry DomanovJune 4, 2014 12:31:23 UTC 2014 年 6 月 4 日 (水) 21 時 31 分 23 秒 (日本時間)
4511e685 / 3786CypDecember 28, 2013 15:11:15 UTC 2013 年 12 月 29 日 (日) 0 時 11 分 15 秒 (日本時間)
5043e629 / 7433CypJanuary 12, 2014 17:50:20 UTC 2014 年 1 月 13 日 (月) 2 時 50 分 20 秒 (日本時間)

19×10241-73

c237

name 名前Serge Batalov
date 日付November 3, 2013 01:33:49 UTC 2013 年 11 月 3 日 (日) 10 時 33 分 49 秒 (日本時間)
composite number 合成数
271296411319628580934144937965933737993348954295121947736888173047129898149615687215228010354955657315507731233784684889218252251403244990654552567963320725189586215857703604387005758623299221379299512665972719004028037770171959088501173<237>
prime factors 素因数
70294594304754723567201573960065753<35>
composite cofactor 合成数の残り
3859420685230103141036779822944705753366024011967594060168850103200714810319308547160503351118204157714693791346081273852822681556134829324603204295687548582664201611191335842967950514134563526628910141<202>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=55013443
Step 1 took 15909ms
Step 2 took 8768ms
********** Factor found in step 2: 70294594304754723567201573960065753
Found probable prime factor of 35 digits: 70294594304754723567201573960065753
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e62880280CypDecember 28, 2013 15:06:11 UTC 2013 年 12 月 29 日 (日) 0 時 6 分 11 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:54:35 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 35 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:50 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 50 秒 (日本時間)
1000Dmitry DomanovJune 4, 2014 12:31:38 UTC 2014 年 6 月 4 日 (水) 21 時 31 分 38 秒 (日本時間)
4511e60 / 3721--
5043e60 / 7405--
5511e716 / 17747CypDecember 28, 2013 15:52:51 UTC 2013 年 12 月 29 日 (日) 0 時 52 分 51 秒 (日本時間)

19×10242-73

c240

name 名前Serge Batalov
date 日付November 25, 2013 07:20:48 UTC 2013 年 11 月 25 日 (月) 16 時 20 分 48 秒 (日本時間)
composite number 合成数
234654810423613684080523650734840064221316536989008274669630727429912313202420649623317278004199086081264665925651475855255032728170927504013832283561813017166851920464369519575151290601457329875262442880079041620353217240953439545510682969<240>
prime factors 素因数
54160686500254142033008300708596689887349945514487<50>
composite cofactor 合成数の残り
4332567136543082714808233454063317703893705905366251399260169383058866702923317335008824564315760170741617089202404247230681077868964788013335667475900484357678305249129275765933156585859887<190>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4277826320
Step 1 took 343132ms
Step 2 took 91225ms
********** Factor found in step 2: 54160686500254142033008300708596689887349945514487
Found probable prime factor of 50 digits: 54160686500254142033008300708596689887349945514487
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e60--
4511e61150 / 1756850Serge BatalovNovember 8, 2013 17:17:35 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 35 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:29 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 29 秒 (日本時間)
5043e6775 / 7295Serge BatalovNovember 25, 2013 02:17:39 UTC 2013 年 11 月 25 日 (月) 11 時 17 分 39 秒 (日本時間)

19×10243-73

c157

composite cofactor 合成数の残り
3269960011099475380994783725605609931067572552496102860072917901482252948921229732527528699891375570040486239177211900859068056881647383712870461205432041037<157>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 3, 2013 12:39:23 UTC 2013 年 11 月 3 日 (日) 21 時 39 分 23 秒 (日本時間)
403e6110Ignacio SantosNovember 3, 2013 12:39:23 UTC 2013 年 11 月 3 日 (日) 21 時 39 分 23 秒 (日本時間)
4511e6444232Ignacio SantosNovember 3, 2013 12:39:23 UTC 2013 年 11 月 3 日 (日) 21 時 39 分 23 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:12:19 UTC 2013 年 11 月 9 日 (土) 2 時 12 分 19 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:09 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 9 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:02 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 2 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:30 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 30 秒 (日本時間)
1960Ignacio SantosJanuary 30, 2016 20:06:10 UTC 2016 年 1 月 31 日 (日) 5 時 6 分 10 秒 (日本時間)

19×10245-73

c226

name 名前Serge Batalov
date 日付November 2, 2013 15:05:18 UTC 2013 年 11 月 3 日 (日) 0 時 5 分 18 秒 (日本時間)
composite number 合成数
9176559217262047402745721492467979854077897827460668945683122262316589041567724207697305279528910956607832308507105249805520374956240290941194229033912852043420056462960814766815414779497021172671616201966969366552917610836357<226>
prime factors 素因数
82105763280133738735011792641<29>
composite cofactor 合成数の残り
111765104551222193802673340031710688123586306042873146488928433904207781791256006021599000674467139605187753772457546433698284522386559725368242593159311711446664285653532213852920735314871169683077<198>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3242956162
Step 1 took 14117ms
Step 2 took 8317ms
********** Factor found in step 2: 82105763280133738735011792641
Found probable prime factor of 29 digits: 82105763280133738735011792641
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e62880280CypDecember 28, 2013 15:05:41 UTC 2013 年 12 月 29 日 (日) 0 時 5 分 41 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:54:36 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 36 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:51 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 51 秒 (日本時間)
1000Dmitry DomanovJune 4, 2014 12:32:06 UTC 2014 年 6 月 4 日 (水) 21 時 32 分 6 秒 (日本時間)

19×10248-73

c216

name 名前Serge Batalov
date 日付November 4, 2013 06:00:54 UTC 2013 年 11 月 4 日 (月) 15 時 0 分 54 秒 (日本時間)
composite number 合成数
347094536140339007246298117118831791506405245263326218274978407608461777534576497664880878854447801124858423645257569237267441911271128007291873839514218643016289122292490732727235065483640132129217186306395350706179<216>
prime factors 素因数
1050690035498051076490023374197103603<37>
330349127157952220273736961730964072629909775511422270436076343521057898497837094580012334716616025364691805481246237897542440998268360323935695437954912102862230811662249749583793<180>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=867119266
Step 1 took 21334ms
Step 2 took 7988ms
********** Factor found in step 2: 1050690035498051076490023374197103603
Found probable prime factor of 37 digits: 1050690035498051076490023374197103603
Probable prime cofactor 

ECM

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

19×10250-73

c230

name 名前Serge Batalov
date 日付November 3, 2013 07:02:31 UTC 2013 年 11 月 3 日 (日) 16 時 2 分 31 秒 (日本時間)
composite number 合成数
15034178488081937508634911766153546308174172440481031363108434392977237626237216515650576031867942528688163218448116941209198674175048919654265565112036260636638296806869747518414691310561529640134026452866065803359110474492914843<230>
prime factors 素因数
354644468117271922505630454461999<33>
composite cofactor 合成数の残り
42392254326974349827904261842646760905487601717914688062090310266254319352753217076620850172450933526547561989185028967515442688401447199833671190651287055421446299148783378373963184656588835619157<197>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=1999432112
Step 1 took 14221ms
Step 2 took 8248ms
********** Factor found in step 2: 354644468117271922505630454461999
Found probable prime factor of 33 digits: 354644468117271922505630454461999
Composite cofactor

c197

name 名前Dmitry Domanov
date 日付June 9, 2014 06:28:24 UTC 2014 年 6 月 9 日 (月) 15 時 28 分 24 秒 (日本時間)
composite number 合成数
42392254326974349827904261842646760905487601717914688062090310266254319352753217076620850172450933526547561989185028967515442688401447199833671190651287055421446299148783378373963184656588835619157<197>
prime factors 素因数
6163403442877731614210902398111182208765846617639<49>
6878059293029362549068599703035767883323753082259814709972778927737938610649628595238906461506183756691905710538276574055701238376012184721392496163<148>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3999868119
Step 1 took 103401ms
********** Factor found in step 1: 6163403442877731614210902398111182208765846617639
Found probable prime factor of 49 digits: 6163403442877731614210902398111182208765846617639

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 2, 2013 13:00:00 UTC 2013 年 11 月 2 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6580280CypDecember 28, 2013 15:03:52 UTC 2013 年 12 月 29 日 (日) 0 時 3 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:54:36 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 36 秒 (日本時間)
4511e62304 / 2944504CypMarch 7, 2014 17:31:02 UTC 2014 年 3 月 8 日 (土) 2 時 31 分 2 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:30 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 30 秒 (日本時間)
1500Dmitry DomanovMay 27, 2014 11:23:47 UTC 2014 年 5 月 27 日 (火) 20 時 23 分 47 秒 (日本時間)
5043e6400 / 7014Dmitry DomanovJune 5, 2014 11:49:25 UTC 2014 年 6 月 5 日 (木) 20 時 49 分 25 秒 (日本時間)

19×10251-73

c205

name 名前Eric Jeancolas
date 日付May 14, 2021 10:28:52 UTC 2021 年 5 月 14 日 (金) 19 時 28 分 52 秒 (日本時間)
composite number 合成数
1080656026687242185471879933510346539048276581510642921004433471118738562767517788795649037889437434951902532848818863824504167535612495671996033684530705913520568804733614622883744926386513177596937925697<205>
prime factors 素因数
8039762826170516577705099646497061<34>
composite cofactor 合成数の残り
134413918675506259774260786857841399151190550655640937807671319384437914212952068124241676139059524004166521543402783695662092035103660184191601402052436494605585169732077<171>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1080656026687242185471879933510346539048276581510642921004433471118738562767517788795649037889437434951902532848818863824504167535612495671996033684530705913520568804733614622883744926386513177596937925697 (205 digits)
Run 473 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:300535616
Step 1 took 3429ms
Step 2 took 1901ms
********** Factor found in step 2: 8039762826170516577705099646497061
Found prime factor of 34 digits: 8039762826170516577705099646497061
Composite cofactor 134413918675506259774260786857841399151190550655640937807671319384437914212952068124241676139059524004166521543402783695662092035103660184191601402052436494605585169732077 has 171 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

c171

name 名前Ignacio Santos
date 日付May 14, 2021 17:14:16 UTC 2021 年 5 月 15 日 (土) 2 時 14 分 16 秒 (日本時間)
composite number 合成数
134413918675506259774260786857841399151190550655640937807671319384437914212952068124241676139059524004166521543402783695662092035103660184191601402052436494605585169732077<171>
prime factors 素因数
3470286317546008385372013370645504026594206209<46>
composite cofactor 合成数の残り
38732803687090647676994329144552981206280531877801032179373784059199387991635985769318278373024660689481714773684786491267053<125>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3796613254
Step 1 took 25906ms
Step 2 took 12110ms
********** Factor found in step 2: 3470286317546008385372013370645504026594206209
Found prime factor of 46 digits: 3470286317546008385372013370645504026594206209
Composite cofactor 38732803687090647676994329144552981206280531877801032179373784059199387991635985769318278373024660689481714773684786491267053 has 125 digits
software ソフトウェア
GMP-ECM

c125

name 名前Eric Jeancolas
date 日付May 16, 2021 03:36:29 UTC 2021 年 5 月 16 日 (日) 12 時 36 分 29 秒 (日本時間)
composite number 合成数
38732803687090647676994329144552981206280531877801032179373784059199387991635985769318278373024660689481714773684786491267053<125>
prime factors 素因数
65013540555418233865866220412726547128929786254605759<53>
595765179933161671241677825848872599117727132487907821491073954139286867<72>
factorization results 素因数分解の結果
38732803687090647676994329144552981206280531877801032179373784059199387991635985769318278373024660689481714773684786491267053=65013540555418233865866220412726547128929786254605759 595765179933161671241677825848872599117727132487907821491073954139286867

cado polynomial
n: 38732803687090647676994329144552981206280531877801032179373784059199387991635985769318278373024660689481714773684786491267053
skew: 52681.19
c0: 98823473906110173948614449830
c1: -15408363735225317789448277
c2: -104201602662119056206
c3: 10433974174405531
c4: 71967059790
c5: -540000
Y0: -1219349169371810469715396
Y1: 1560329384673923869
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.565e-07
# f(x) = -540000*x^5+71967059790*x^4+10433974174405531*x^3-104201602662119056206*x^2-15408363735225317789448277*x+98823473906110173948614449830
# g(x) = 1560329384673923869*x-1219349169371810469715396

cado parameters (extracts)
tasks.lim0 = 2377918
tasks.lim1 = 9209388
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 57
tasks.sieve.mfb1 = 53
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 65013540555418233865866220412726547128929786254605759 595765179933161671241677825848872599117727132487907821491073954139286867
Info:Square Root: Total cpu/real time for sqrt: 2829.6/286.163
Info:Filtering - Merging: Merged matrix has 799048 rows and total weight 136152397 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 241.97/31.6313
Info:Filtering - Merging: Total cpu/real time for replay: 30.37/23.6604
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5727.64
Info:Polynomial Selection (root optimized): Rootsieve time: 5722.78
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 272.47/208.967
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 194.39999999999998s
Info:Square Root: Total cpu/real time for sqrt: 2829.6/286.163
Info:Generate Factor Base: Total cpu/real time for makefb: 10.7/1.55972
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11626411
Info:Lattice Sieving: Average J: 3790.99 for 193009 special-q, max bucket fill -bkmult 1.0,1s:1.151020
Info:Lattice Sieving: Total time: 151498s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 120.6/120.019
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 119.8s
Info:Quadratic Characters: Total cpu/real time for characters: 35.44/8.81518
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20047/36.800/44.381/48.550/0.879
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15879/35.550/39.762/45.150/0.965
Info:Polynomial Selection (size optimized): Total time: 4019.96
Info:Linear Algebra: Total cpu/real time for bwc: 4966/851.27
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Lingen CPU time 846.63, WCT time 76.45
Info:Linear Algebra: Mksol: CPU time 4118.34,  WCT time 774.25, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (12544 iterations)
Warning:Linear Algebra: some stats could not be displayed for linalg (see log file for debug info)
Info:Generate Free Relations: Total cpu/real time for freerel: 214.18/20.7132
Info:Filtering - Singleton removal: Total cpu/real time for purge: 106.37/122.546
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 276827/33187.9
65013540555418233865866220412726547128929786254605759 595765179933161671241677825848872599117727132487907821491073954139286867
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
2 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61377473Eric JeancolasMay 14, 2021 10:27:47 UTC 2021 年 5 月 14 日 (金) 19 時 27 分 47 秒 (日本時間)
904Ignacio SantosMay 14, 2021 14:18:01 UTC 2021 年 5 月 14 日 (金) 23 時 18 分 1 秒 (日本時間)
403e62350Ignacio SantosMay 14, 2021 14:38:55 UTC 2021 年 5 月 14 日 (金) 23 時 38 分 55 秒 (日本時間)

19×10252-73

c174

name 名前Ignacio Santos
date 日付March 2, 2021 16:34:28 UTC 2021 年 3 月 3 日 (水) 1 時 34 分 28 秒 (日本時間)
composite number 合成数
164015870847814417263662566353053888805927964221009357883176028615360598824347024797738531800509977743465871897341353220711263255284067811423178297423699272889905929656302309<174>
prime factors 素因数
2457518162847761847428028880103301224627<40>
66740451129668765848085112286079416429675011255702046845654225926440894770569457156410575896187496934226283245940417861187246525544967<134>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4075625328
Step 1 took 7297ms
Step 2 took 3844ms
********** Factor found in step 2: 2457518162847761847428028880103301224627
Found prime factor of 40 digits: 2457518162847761847428028880103301224627
Prime cofactor 66740451129668765848085112286079416429675011255702046845654225926440894770569457156410575896187496934226283245940417861187246525544967 has 134 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosFebruary 27, 2021 09:22:07 UTC 2021 年 2 月 27 日 (土) 18 時 22 分 7 秒 (日本時間)

19×10253-73

c246

composite cofactor 合成数の残り
158638413642782006158061008224317161592341893895466848800932260179198503110639208030482895523164602836428618847740252448271021178905356855946749506377163618288026356860673339293912894864923728291375723085474162691403017575986520590845699036951027<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:41:42 UTC 2021 年 5 月 20 日 (木) 2 時 41 分 42 秒 (日本時間)
403e62023587Marlon TrifunovicFebruary 21, 2022 23:35:39 UTC 2022 年 2 月 22 日 (火) 8 時 35 分 39 秒 (日本時間)
1436ebinaAugust 7, 2022 05:53:49 UTC 2022 年 8 月 7 日 (日) 14 時 53 分 49 秒 (日本時間)

19×10254-73

c242

composite cofactor 合成数の残り
41364275665266263972669511371961556599254975210283687435848578783350946810569160483921137147337657387615425005646130934776946666056876178959433431051687504156709016512758478458930374953211968908487113704400418553031468594153628032403602456109<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:41:56 UTC 2021 年 5 月 20 日 (木) 2 時 41 分 56 秒 (日本時間)
403e62023587Marlon TrifunovicFebruary 21, 2022 01:45:48 UTC 2022 年 2 月 21 日 (月) 10 時 45 分 48 秒 (日本時間)
1436ebinaAugust 7, 2022 15:22:25 UTC 2022 年 8 月 8 日 (月) 0 時 22 分 25 秒 (日本時間)

19×10255-73

c254

composite cofactor 合成数の残り
28657616892911010558069381598793363499245852187028657616892911010558069381598793363499245852187028657616892911010558069381598793363499245852187028657616892911010558069381598793363499245852187028657616892911010558069381598793363499245852187028657616892911<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:42:11 UTC 2021 年 5 月 20 日 (木) 2 時 42 分 11 秒 (日本時間)
403e62023587Marlon TrifunovicMarch 6, 2022 04:24:07 UTC 2022 年 3 月 6 日 (日) 13 時 24 分 7 秒 (日本時間)
1436ebinaAugust 8, 2022 01:04:51 UTC 2022 年 8 月 8 日 (月) 10 時 4 分 51 秒 (日本時間)

19×10257-73

c246

composite cofactor 合成数の残り
256051365554802875456436225455981671340653326567937635463259005251240082621773480921314278757983642036761263319018422947994636764295168011720734970169919299968505500927585473108550804319101943744169054145824947337288458631056860815655001109109391<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:42:27 UTC 2021 年 5 月 20 日 (木) 2 時 42 分 27 秒 (日本時間)
403e62023587Marlon TrifunovicMarch 2, 2022 19:13:57 UTC 2022 年 3 月 3 日 (木) 4 時 13 分 57 秒 (日本時間)
1436ebinaAugust 8, 2022 10:06:37 UTC 2022 年 8 月 8 日 (月) 19 時 6 分 37 秒 (日本時間)

19×10258-73

c202

composite cofactor 合成数の残り
3008302092962233233893940723554860964610068346233389011997894390798743588402657568978014886552176880565519421075311346062731527547939258471465696544965596363615296050195471100868359635407006850050647497<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:42:40 UTC 2021 年 5 月 20 日 (木) 2 時 42 分 40 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 17, 2022 19:22:22 UTC 2022 年 2 月 18 日 (金) 4 時 22 分 22 秒 (日本時間)

19×10259-73

c253

composite cofactor 合成数の残り
5191540663193088780618852959693233501645814023876004805617924630250959895375700731616501765574669806401164172937433000093802942614430914651918537950667740058684629178770128935191238187639712214867266377049739795883376028290508451022144680642239484186007<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:42:55 UTC 2021 年 5 月 20 日 (木) 2 時 42 分 55 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 4, 2022 19:06:31 UTC 2022 年 3 月 5 日 (土) 4 時 6 分 31 秒 (日本時間)

19×10261-73

c238

composite cofactor 合成数の残り
1217510433636440867723958641691293107935783503927406353349320643536597899097606719332235621054672302043365367512656896849655603276347446118291062170945226704378541456417796125634331103099913635514300188908271985203129149121163030913109821<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:43:11 UTC 2021 年 5 月 20 日 (木) 2 時 43 分 11 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 19, 2022 14:30:41 UTC 2022 年 2 月 19 日 (土) 23 時 30 分 41 秒 (日本時間)

19×10263-73

c201

composite cofactor 合成数の残り
119680892777026394931113638231138430895232087491483632023531099655341906870289651300230057294404868269132776826880651773778793486867210200076883676982177713358139356341123220444357625920279784383044937<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:43:28 UTC 2021 年 5 月 20 日 (木) 2 時 43 分 28 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 18, 2022 22:28:34 UTC 2022 年 2 月 19 日 (土) 7 時 28 分 34 秒 (日本時間)

19×10264-73

c215

composite cofactor 合成数の残り
47028999147670833766450910574234914872012024097834533397573359279952708352351215715333092857852112716841005555322193476015619335595259720756297645317761573016428926164426590489994933657247444225591459536468299041891<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:43:49 UTC 2021 年 5 月 20 日 (木) 2 時 43 分 49 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 19, 2022 04:49:51 UTC 2022 年 2 月 19 日 (土) 13 時 49 分 51 秒 (日本時間)

19×10265-73

c252

composite cofactor 合成数の残り
663365706236705804974983896702962750587867409668662037262567114164441534048083118426388748513029013253855223816616423787670073110334554258743706487478130873555752009061851180504369295017586505956696434108528331921121991024083880698487853801068246739817<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:44:05 UTC 2021 年 5 月 20 日 (木) 2 時 44 分 5 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 00:25:03 UTC 2022 年 3 月 5 日 (土) 9 時 25 分 3 秒 (日本時間)

19×10266-73

c220

composite cofactor 合成数の残り
4478580069043949006005114656216836256624866415652192362156781642671990525397587715057735777998844951501782923316851499244656612107965306827943690041601078111342494963410867170002896742309834547090712267506451815961055109<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:44:20 UTC 2021 年 5 月 20 日 (木) 2 時 44 分 20 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 19, 2022 21:48:05 UTC 2022 年 2 月 20 日 (日) 6 時 48 分 5 秒 (日本時間)

19×10267-73

c256

composite cofactor 合成数の残り
3079907068079306785813580401885290007445230823820610588606376629014854179256144654143305618136853274745733619231787701789755104787994841149466787746110263784431656122561702829712355201483391065892354658833135015718215251293621071804514720683367120963445757<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:44:36 UTC 2021 年 5 月 20 日 (木) 2 時 44 分 36 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 2, 2022 00:36:07 UTC 2022 年 3 月 2 日 (水) 9 時 36 分 7 秒 (日本時間)

19×10268-73

c231

composite cofactor 合成数の残り
186495285711990202217662250812681061266410762500921207988121629187684137345642183097381224250437532676003614179065957792767763797953778780955917371792113657833452666999584969080398816473542182015001036832449292337017534888507019847<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:44:51 UTC 2021 年 5 月 20 日 (木) 2 時 44 分 51 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 02:38:14 UTC 2022 年 2 月 20 日 (日) 11 時 38 分 14 秒 (日本時間)

19×10269-73

c239

composite cofactor 合成数の残り
12799222398937091338544725713772532293720360200223103006370917255112288660842240591315433179134140496495982805412917615745851208466559306916479803000399179765136150938310024414217996711802879990785085725034952052126918890576720825759440297<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:45:05 UTC 2021 年 5 月 20 日 (木) 2 時 45 分 5 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 21, 2022 14:42:15 UTC 2022 年 2 月 21 日 (月) 23 時 42 分 15 秒 (日本時間)

19×10270-73

c245

composite cofactor 合成数の残り
69758723706104694732613682482078857261771494667658070507875384887980926003743369644203532088892588971540062273946862469073577652310933439757345212034047959724022046175347506515338551907978025135278184777115193002596137759739105107336309665787269<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:45:46 UTC 2021 年 5 月 20 日 (木) 2 時 45 分 46 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 23:45:47 UTC 2022 年 2 月 21 日 (月) 8 時 45 分 47 秒 (日本時間)

19×10275-73

c276

name 名前Ignacio Santos
date 日付April 3, 2021 18:11:05 UTC 2021 年 4 月 4 日 (日) 3 時 11 分 5 秒 (日本時間)
composite number 合成数
633333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331<276>
prime factors 素因数
31091821151121856636440764197605288069581<41>
20369772817584902662259622132713782573687626725799649024059409170497193553644118044726768136384770204908893096743367778348090877033828137101429094610069300548497297441653190376944560199273353938672103575539696506477620319865747529038751<236>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2005271602
Step 1 took 17016ms
Step 2 took 6218ms
********** Factor found in step 2: 31091821151121856636440764197605288069581
Found prime factor of 41 digits: 31091821151121856636440764197605288069581
Prime cofactor 20369772817584902662259622132713782573687626725799649024059409170497193553644118044726768136384770204908893096743367778348090877033828137101429094610069300548497297441653190376944560199273353938672103575539696506477620319865747529038751 has 236 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovFebruary 27, 2021 11:22:21 UTC 2021 年 2 月 27 日 (土) 20 時 22 分 21 秒 (日本時間)

19×10276-73

c263

composite cofactor 合成数の残り
18719011922542740030494944790995741166789636782736685485140359304590198665588851440237411450126351440178680020668378416137067058174375322425692091219603670612461673746550542444872296878718867830171688029163570000034592366775697174825975649152677511808730683291713<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:46:07 UTC 2021 年 5 月 20 日 (木) 2 時 46 分 7 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 6, 2022 07:44:43 UTC 2022 年 3 月 6 日 (日) 16 時 44 分 43 秒 (日本時間)

19×10277-73

c260

composite cofactor 合成数の残り
13781299243759420282898180545001994376631898381064796097723291551259787656065064188330636450345384124985717680281796242513621076417534344630618583761257914532976277411271464938661453513416343114641782824308069334568606542404949754122641941658409862129702275133<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:46:25 UTC 2021 年 5 月 20 日 (木) 2 時 46 分 25 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 15:59:39 UTC 2022 年 3 月 6 日 (日) 0 時 59 分 39 秒 (日本時間)

19×10278-73

c184

composite cofactor 合成数の残り
1491634496281888915167788311030513856352408306904861613462530326934386229218492798187413038364700819183835893698513321358108272875593731390982164925394210793253513778765962705281832027<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosFebruary 27, 2021 17:40:32 UTC 2021 年 2 月 28 日 (日) 2 時 40 分 32 秒 (日本時間)
403e62350Ignacio SantosMarch 3, 2021 19:05:41 UTC 2021 年 3 月 4 日 (木) 4 時 5 分 41 秒 (日本時間)
4511e64480Ignacio SantosMarch 28, 2021 20:26:52 UTC 2021 年 3 月 29 日 (月) 5 時 26 分 52 秒 (日本時間)

19×10279-73

c213

composite cofactor 合成数の残り
205936326815676787709748831561844873085503071671798004918377979325874354977344006659426436455365039636570096056571639010315695371025715158043292714301854066446130998429200493296649245283664097315344128918521004221<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:46:49 UTC 2021 年 5 月 20 日 (木) 2 時 46 分 49 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 07:20:42 UTC 2022 年 2 月 22 日 (火) 16 時 20 分 42 秒 (日本時間)

19×10280-73

c223

composite cofactor 合成数の残り
9141029922864815030800322308349673910501390448961901847519450375092973703750767030130295652936157408676952298155232623780373916871048864226963915825223584609447989880955101430051235462136948969921927749924476867431201593917<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:47:03 UTC 2021 年 5 月 20 日 (木) 2 時 47 分 3 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 21, 2022 08:37:09 UTC 2022 年 2 月 21 日 (月) 17 時 37 分 9 秒 (日本時間)

19×10281-73

c271

name 名前Marlon Trifunovic
date 日付April 15, 2022 00:50:51 UTC 2022 年 4 月 15 日 (金) 9 時 50 分 51 秒 (日本時間)
composite number 合成数
5063477148424815255309986912269995641256028750046547376161996236438015621654625565477125829624117866385551288730075342252316235472396031915440964186885595807491408768401115150724940135209699889178967179071341922462860327375734174364306811472892573028860837055691348368529<271>
prime factors 素因数
3581820257417401580541537974133649823159<40>
composite cofactor 合成数の残り
1413660313618230566073011969912724017663491663621864990541720526075757378759820825450528518587635433814088958331258666365200066324593682702607804154008716566754152335953747422485556949585450701758177045171225125057395974746271293431<232>
factorization results 素因数分解の結果
Run 86 out of 587:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4223301222
Step 1 took 31172ms
Step 2 took 10990ms
********** Factor found in step 2: 3581820257417401580541537974133649823159
Found prime factor of 40 digits: 3581820257417401580541537974133649823159
Composite cofactor 1413660313618230566073011969912724017663491663621864990541720526075757378759820825450528518587635433814088958331258666365200066324593682702607804154008716566754152335953747422485556949585450701758177045171225125057395974746271293431 has 232 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:47:19 UTC 2021 年 5 月 20 日 (木) 2 時 47 分 19 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 8, 2022 20:05:24 UTC 2022 年 3 月 9 日 (水) 5 時 5 分 24 秒 (日本時間)

19×10283-73

c260

composite cofactor 合成数の残り
36861543779432387328493627059642034649578539208382783215137759834625320077371526955241310746052545352603414166193309974950746907423016903251933999125804553111585706498699273818539002088343245796530755072114050953753419221386053262047584388946787116352717361983<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:47:38 UTC 2021 年 5 月 20 日 (木) 2 時 47 分 38 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 6, 2022 01:43:10 UTC 2022 年 3 月 6 日 (日) 10 時 43 分 10 秒 (日本時間)

19×10284-73

c281

composite cofactor 合成数の残り
31709474457183864884260418231278893172449473455832039920559421886213054289958110115322351841652898079073415777966922011382032410420734658455581701964318496637126787830237487274487224419633171448121630868338924214356047330562926617600427243445317845758440561424589862981691950800247<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:47:53 UTC 2021 年 5 月 20 日 (木) 2 時 47 分 53 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 28, 2022 22:51:51 UTC 2022 年 3 月 1 日 (火) 7 時 51 分 51 秒 (日本時間)

19×10285-73

c263

composite cofactor 合成数の残り
24543345630778910635946760456135194788722609207971680638942629894666903014198802383661856024117011088503278701276117818316144998343912017461279591835844871687434977562766635715830996068105720686452245036160534533809026623855775480276918732563731396955877014527097<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:48:08 UTC 2021 年 5 月 20 日 (木) 2 時 48 分 8 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 18:38:37 UTC 2022 年 3 月 6 日 (日) 3 時 38 分 37 秒 (日本時間)

19×10286-73

c246

composite cofactor 合成数の残り
236076715707308393511937652552410257059169600663841131468867412150677653257750209438666936928015104180713716090090684390320970839368601449573124847155808466553961598585618704198153124816092054616926913998281557540233807807436245169637375105886981<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:48:23 UTC 2021 年 5 月 20 日 (木) 2 時 48 分 23 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 23:47:20 UTC 2022 年 2 月 23 日 (水) 8 時 47 分 20 秒 (日本時間)

19×10287-73

c239

composite cofactor 合成数の残り
32315971469131660343041520446506261766594038507345930853216362969745030988169691400319216904705121965320867113135587099628811786036580253304309098716831905461099940014839133941676828666954976907829033081799941093469050870170170170054483017<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:48:37 UTC 2021 年 5 月 20 日 (木) 2 時 48 分 37 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 21, 2022 06:22:37 UTC 2022 年 2 月 21 日 (月) 15 時 22 分 37 秒 (日本時間)

19×10289-73

c260

composite cofactor 合成数の残り
13919711239930979501401752231308664465731198561602564233839545268816753449221500468390441606792347788229005345221832489377513041391927309381950002388389397395785543015312524616898311608081854996855507160817520794194517444136220246555860799046656192598925436219<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:48:55 UTC 2021 年 5 月 20 日 (木) 2 時 48 分 55 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 12:44:58 UTC 2022 年 3 月 5 日 (土) 21 時 44 分 58 秒 (日本時間)

19×10290-73

c266

name 名前Marlon Trifunovic
date 日付April 15, 2022 00:50:56 UTC 2022 年 4 月 15 日 (金) 9 時 50 分 56 秒 (日本時間)
composite number 合成数
67223824170338713298531864749226491987805300006034171884354966427565492875365205747862533480181293666734771928232146104767855694062920846233016390321538525458872402260302720850924176911760702589849913744028640801107933704979387169645110137184805127052017486858599951<266>
prime factors 素因数
7029666144454876517851339802452274091619867<43>
9562875787972667860946707616109645975577482466625644247051922864543185210272864610573404497557509274656488369402045048083237520303050558528303907456586313236397987826322083573497439977567854221195192131922352845896604641053<223>
factorization results 素因数分解の結果
Run 126 out of 587:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3052388108
Step 1 took 26402ms
Step 2 took 10036ms
********** Factor found in step 2: 7029666144454876517851339802452274091619867
Found prime factor of 43 digits: 7029666144454876517851339802452274091619867
Prime cofactor 9562875787972667860946707616109645975577482466625644247051922864543185210272864610573404497557509274656488369402045048083237520303050558528303907456586313236397987826322083573497439977567854221195192131922352845896604641053 has 223 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:49:09 UTC 2021 年 5 月 20 日 (木) 2 時 49 分 9 秒 (日本時間)

19×10291-73

c257

composite cofactor 合成数の残り
59497136536760455013322981675745319700507624701130351238331034018905318672159881854499849424831343586233170170341153212171247161919121381105371050723319852812872075491931050079991051670677218376258974362524189794432530593179011429236852950409516978800057481<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:49:25 UTC 2021 年 5 月 20 日 (木) 2 時 49 分 25 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 05:14:34 UTC 2022 年 3 月 5 日 (土) 14 時 14 分 34 秒 (日本時間)

19×10292-73

c234

composite cofactor 合成数の残り
277875261952226737823777808995107315643378436633742118926093315059817268127952374004115180212976021206749949641636585255588651562992599013373946474137850014954913940218853963277805991081200656110932356387415318063840789734845551270819<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:49:43 UTC 2021 年 5 月 20 日 (木) 2 時 49 分 43 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 14:58:24 UTC 2022 年 2 月 20 日 (日) 23 時 58 分 24 秒 (日本時間)

19×10293-73

c269

composite cofactor 合成数の残り
40884143038925160960050010751198394387151902478384452747207130121086582372166719777911227225628544543371002410290895567645850916903904369326670993861484139202152663703275281769130356019430579910283196557149930738048977510767122140514131705520578625699953263341088073909<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:49:59 UTC 2021 年 5 月 20 日 (木) 2 時 49 分 59 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 20:02:09 UTC 2022 年 2 月 21 日 (月) 5 時 2 分 9 秒 (日本時間)

19×10294-73

c231

composite cofactor 合成数の残り
292884940873969985741517963805316673207741616232278672373397444612874156557476313373425763489782405315705197687416619076962044328627290851019110598557059373726853481040693486681459452484282776593925884090006667666618063584615354651<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:50:19 UTC 2021 年 5 月 20 日 (木) 2 時 50 分 19 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 11:28:17 UTC 2022 年 2 月 22 日 (火) 20 時 28 分 17 秒 (日本時間)

19×10295-73

c256

composite cofactor 合成数の残り
5592046572110092903561155158913266179311251232503191386962798658314474706453506498674565919239689412152806922864503784616042903244519657691784927815725099638788768519794081839127076276473083896664199342495469544542545529606640300902830013963675333618503761<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:50:32 UTC 2021 年 5 月 20 日 (木) 2 時 50 分 32 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 17:58:19 UTC 2022 年 3 月 6 日 (日) 2 時 58 分 19 秒 (日本時間)

19×10296-73

c292

composite cofactor 合成数の残り
2245854920136217011050788235975522545428325904281663303794430989015405382723229113844749959515509992281351248163422588335975167936756725448964128968809803274929285120738342535428361365148823349326184422513868154131841140043238617357148851718019912458939270900930611357170128238315939777991331<292>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:50:48 UTC 2021 年 5 月 20 日 (木) 2 時 50 分 48 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 11, 2022 00:24:46 UTC 2022 年 3 月 11 日 (金) 9 時 24 分 46 秒 (日本時間)

19×10297-73

c282

composite cofactor 合成数の残り
140758565415097723897119327924833559619022006842974097231649628850415515586861868574322140181029688921438715125879122379976785011087455855429838195983806369004042151613653849062843150665743965660701818359238081608253619435367422688692410470036769588705964271440564678281270825379003<282>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:51:11 UTC 2021 年 5 月 20 日 (木) 2 時 51 分 11 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 9, 2022 04:07:21 UTC 2022 年 3 月 9 日 (水) 13 時 7 分 21 秒 (日本時間)

19×10298-73

c295

composite cofactor 合成数の残り
4402122286323301128333449178656657630731447371469613771692036792474687796853641018512082667222724218623294177614049720812770788443270545168091564143555524663469335742916058478719214105326567966451194365283473506174555733185051319478232663747364518894372234192905632399620027339496304534185954913<295>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:51:28 UTC 2021 年 5 月 20 日 (木) 2 時 51 分 28 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 10, 2022 22:17:11 UTC 2022 年 3 月 11 日 (金) 7 時 17 分 11 秒 (日本時間)

19×10299-73

c253

composite cofactor 合成数の残り
3160717455964734168753271579090840830841896065979391798404389020423583591444746182497476855880962243344348842688681178586055390097983769064393195449570346670746723731957699629472432678253686288366759613827344001797126157195424320608547670434581913259707<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 17:51:44 UTC 2021 年 5 月 20 日 (木) 2 時 51 分 44 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 4, 2022 21:37:21 UTC 2022 年 3 月 5 日 (土) 6 時 37 分 21 秒 (日本時間)

19×10300-73

c254

name 名前Dmitry Domanov
date 日付April 13, 2021 14:06:33 UTC 2021 年 4 月 13 日 (火) 23 時 6 分 33 秒 (日本時間)
composite number 合成数
48829205724416379188104556285583278535451465525207678232670671077094954248013895953409146761609417334447557098606847620298592811408287933416467651889800451927506176896265897561181294386286043087640077777710804649393746224297912461681756149234965923492481<254>
prime factors 素因数
424238977387390197726330344854067354973252067<45>
composite cofactor 合成数の残り
115098348636241424728725211317079996382916506520101880544672404068976038742516762469986365006369896324994229921965111764959429969136259011926975577849301772154156086302742898584243240285431770871734631216000843<210>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1994753658
Step 1 took 73398ms
Step 2 took 25484ms
********** Factor found in step 2: 424238977387390197726330344854067354973252067
Found prime factor of 45 digits: 424238977387390197726330344854067354973252067
Composite cofactor 115098348636241424728725211317079996382916506520101880544672404068976038742516762469986365006369896324994229921965111764959429969136259011926975577849301772154156086302742898584243240285431770871734631216000843 has 210 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 21, 2021 11:23:23 UTC 2021 年 1 月 21 日 (木) 20 時 23 分 23 秒 (日本時間)
4511e62000Dmitry DomanovApril 12, 2021 09:29:07 UTC 2021 年 4 月 12 日 (月) 18 時 29 分 7 秒 (日本時間)
5043e6640 / 7059Dmitry DomanovMay 12, 2021 09:23:56 UTC 2021 年 5 月 12 日 (水) 18 時 23 分 56 秒 (日本時間)