Table of contents 目次

61×10103-439

c99

name 名前Serge Batalov
date 日付October 20, 2009 04:45:12 UTC 2009 年 10 月 20 日 (火) 13 時 45 分 12 秒 (日本時間)
composite number 合成数
195452869103931902938746032066446285546388495580041634665264532641750591244929039394006389706747001<99>
prime factors 素因数
97989546065894474339264225075840493661<38>
1994629804412981161026332592472277161520353745624731661492941<61>
factorization results 素因数分解の結果
SNFS difficulty: 105 digits.
Divisors found:
 r1=97989546065894474339264225075840493661 (pp38)
 r2=1994629804412981161026332592472277161520353745624731661492941 (pp61)
Version: Msieve v. 1.43 SVN74
Total time: 0.28 hours.
Scaled time: 0.67 units (timescale=2.400).
Factorization parameters were as follows:
n: 195452869103931902938746032066446285546388495580041634665264532641750591244929039394006389706747001
m: 100000000000000000000000000
deg: 4
c4: 61
c0: -430
skew: 1.63
type: snfs
lss: 1
rlim: 410000
alim: 410000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 410000/410000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [256250, 336251)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 32701 x 32929
Total sieving time: 0.25 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,105.000,4,0,0,0,0,0,0,0,0,410000,410000,25,25,44,44,2.2,2.2,20000
total time: 0.28 hours.

ECM

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

61×10110-439

c86

name 名前Robert Backstrom
date 日付October 19, 2009 11:43:58 UTC 2009 年 10 月 19 日 (月) 20 時 43 分 58 秒 (日本時間)
composite number 合成数
12849531763165915780729681999759369299308766942340673904026379524101685112964411311181<86>
prime factors 素因数
4647466076771159017101224620731157755017<40>
2764846811338785817801461431188838166283593893<46>
factorization results 素因数分解の結果
Mon Oct 19 21:52:53 2009  
Mon Oct 19 21:52:53 2009  
Mon Oct 19 21:52:53 2009  Msieve v. 1.42
Mon Oct 19 21:52:53 2009  random seeds: 53af9528 bb7b3299
Mon Oct 19 21:52:53 2009  factoring 12849531763165915780729681999759369299308766942340673904026379524101685112964411311181 (86 digits)
Mon Oct 19 21:52:54 2009  searching for 15-digit factors
Mon Oct 19 21:52:54 2009  commencing quadratic sieve (86-digit input)
Mon Oct 19 21:52:54 2009  using multiplier of 1
Mon Oct 19 21:52:54 2009  using 64kb Opteron sieve core
Mon Oct 19 21:52:54 2009  sieve interval: 6 blocks of size 65536
Mon Oct 19 21:52:54 2009  processing polynomials in batches of 17
Mon Oct 19 21:52:54 2009  using a sieve bound of 1442509 (54980 primes)
Mon Oct 19 21:52:54 2009  using large prime bound of 115400720 (26 bits)
Mon Oct 19 21:52:54 2009  using double large prime bound of 325068826146400 (41-49 bits)
Mon Oct 19 21:52:54 2009  using trial factoring cutoff of 49 bits
Mon Oct 19 21:52:54 2009  polynomial 'A' values have 11 factors
Mon Oct 19 22:40:36 2009  55214 relations (15494 full + 39720 combined from 580149 partial), need 55076
Mon Oct 19 22:40:37 2009  begin with 595643 relations
Mon Oct 19 22:40:37 2009  reduce to 131993 relations in 10 passes
Mon Oct 19 22:40:37 2009  attempting to read 131993 relations
Mon Oct 19 22:40:39 2009  recovered 131993 relations
Mon Oct 19 22:40:39 2009  recovered 114693 polynomials
Mon Oct 19 22:40:39 2009  attempting to build 55214 cycles
Mon Oct 19 22:40:39 2009  found 55214 cycles in 5 passes
Mon Oct 19 22:40:40 2009  distribution of cycle lengths:
Mon Oct 19 22:40:40 2009     length 1 : 15494
Mon Oct 19 22:40:40 2009     length 2 : 10796
Mon Oct 19 22:40:40 2009     length 3 : 9826
Mon Oct 19 22:40:40 2009     length 4 : 7278
Mon Oct 19 22:40:40 2009     length 5 : 5027
Mon Oct 19 22:40:40 2009     length 6 : 3028
Mon Oct 19 22:40:40 2009     length 7 : 1758
Mon Oct 19 22:40:40 2009     length 9+: 2007
Mon Oct 19 22:40:40 2009  largest cycle: 21 relations
Mon Oct 19 22:40:40 2009  matrix is 54980 x 55214 (11.7 MB) with weight 2856852 (51.74/col)
Mon Oct 19 22:40:40 2009  sparse part has weight 2856852 (51.74/col)
Mon Oct 19 22:40:41 2009  filtering completed in 3 passes
Mon Oct 19 22:40:41 2009  matrix is 50553 x 50617 (10.8 MB) with weight 2639886 (52.15/col)
Mon Oct 19 22:40:41 2009  sparse part has weight 2639886 (52.15/col)
Mon Oct 19 22:40:41 2009  saving the first 48 matrix rows for later
Mon Oct 19 22:40:41 2009  matrix is 50505 x 50617 (5.9 MB) with weight 1941977 (38.37/col)
Mon Oct 19 22:40:41 2009  sparse part has weight 1250286 (24.70/col)
Mon Oct 19 22:40:41 2009  matrix includes 64 packed rows
Mon Oct 19 22:40:41 2009  using block size 20246 for processor cache size 1024 kB
Mon Oct 19 22:40:42 2009  commencing Lanczos iteration
Mon Oct 19 22:40:42 2009  memory use: 7.0 MB
Mon Oct 19 22:41:03 2009  lanczos halted after 800 iterations (dim = 50502)
Mon Oct 19 22:41:03 2009  recovered 15 nontrivial dependencies
Mon Oct 19 22:41:04 2009  prp40 factor: 4647466076771159017101224620731157755017
Mon Oct 19 22:41:04 2009  prp46 factor: 2764846811338785817801461431188838166283593893
Mon Oct 19 22:41:04 2009  elapsed time 00:48:11

ECM

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

61×10111-439

c88

name 名前Sinkiti Sibata
date 日付October 19, 2009 10:15:01 UTC 2009 年 10 月 19 日 (月) 19 時 15 分 1 秒 (日本時間)
composite number 合成数
3138017774540605420592714626559217146263294135298585087177017274548906759127002736201951<88>
prime factors 素因数
164701123892984704612134915020665091<36>
19052801221803116360701047315305558212064213085545461<53>
factorization results 素因数分解の結果
Mon Oct 19 16:15:52 2009  Msieve v. 1.42
Mon Oct 19 16:15:52 2009  random seeds: 3e9a9666 ea53b05f
Mon Oct 19 16:15:52 2009  factoring 3138017774540605420592714626559217146263294135298585087177017274548906759127002736201951 (88 digits)
Mon Oct 19 16:15:53 2009  searching for 15-digit factors
Mon Oct 19 16:15:53 2009  commencing quadratic sieve (88-digit input)
Mon Oct 19 16:15:53 2009  using multiplier of 71
Mon Oct 19 16:15:53 2009  using 64kb Opteron sieve core
Mon Oct 19 16:15:53 2009  sieve interval: 13 blocks of size 65536
Mon Oct 19 16:15:53 2009  processing polynomials in batches of 8
Mon Oct 19 16:15:53 2009  using a sieve bound of 1515149 (57667 primes)
Mon Oct 19 16:15:53 2009  using large prime bound of 121211920 (26 bits)
Mon Oct 19 16:15:53 2009  using double large prime bound of 355125228672960 (42-49 bits)
Mon Oct 19 16:15:53 2009  using trial factoring cutoff of 49 bits
Mon Oct 19 16:15:53 2009  polynomial 'A' values have 11 factors
Mon Oct 19 16:53:23 2009  57972 relations (16496 full + 41476 combined from 604157 partial), need 57763
Mon Oct 19 16:53:23 2009  begin with 620653 relations
Mon Oct 19 16:53:24 2009  reduce to 137721 relations in 11 passes
Mon Oct 19 16:53:24 2009  attempting to read 137721 relations
Mon Oct 19 16:53:25 2009  recovered 137721 relations
Mon Oct 19 16:53:25 2009  recovered 114692 polynomials
Mon Oct 19 16:53:25 2009  attempting to build 57972 cycles
Mon Oct 19 16:53:25 2009  found 57972 cycles in 5 passes
Mon Oct 19 16:53:25 2009  distribution of cycle lengths:
Mon Oct 19 16:53:25 2009     length 1 : 16496
Mon Oct 19 16:53:25 2009     length 2 : 11362
Mon Oct 19 16:53:25 2009     length 3 : 10368
Mon Oct 19 16:53:25 2009     length 4 : 7452
Mon Oct 19 16:53:25 2009     length 5 : 5185
Mon Oct 19 16:53:25 2009     length 6 : 3124
Mon Oct 19 16:53:25 2009     length 7 : 1900
Mon Oct 19 16:53:25 2009     length 9+: 2085
Mon Oct 19 16:53:25 2009  largest cycle: 22 relations
Mon Oct 19 16:53:25 2009  matrix is 57667 x 57972 (14.8 MB) with weight 3412338 (58.86/col)
Mon Oct 19 16:53:25 2009  sparse part has weight 3412338 (58.86/col)
Mon Oct 19 16:53:26 2009  filtering completed in 3 passes
Mon Oct 19 16:53:26 2009  matrix is 52967 x 53031 (13.6 MB) with weight 3152165 (59.44/col)
Mon Oct 19 16:53:26 2009  sparse part has weight 3152165 (59.44/col)
Mon Oct 19 16:53:26 2009  saving the first 48 matrix rows for later
Mon Oct 19 16:53:26 2009  matrix is 52919 x 53031 (10.4 MB) with weight 2627265 (49.54/col)
Mon Oct 19 16:53:26 2009  sparse part has weight 2196751 (41.42/col)
Mon Oct 19 16:53:26 2009  matrix includes 64 packed rows
Mon Oct 19 16:53:26 2009  using block size 21212 for processor cache size 512 kB
Mon Oct 19 16:53:26 2009  commencing Lanczos iteration
Mon Oct 19 16:53:26 2009  memory use: 9.0 MB
Mon Oct 19 16:53:44 2009  lanczos halted after 839 iterations (dim = 52917)
Mon Oct 19 16:53:44 2009  recovered 16 nontrivial dependencies
Mon Oct 19 16:53:44 2009  prp36 factor: 164701123892984704612134915020665091
Mon Oct 19 16:53:44 2009  prp53 factor: 19052801221803116360701047315305558212064213085545461
Mon Oct 19 16:53:44 2009  elapsed time 00:37:52

 

ECM

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

61×10112-439

c106

name 名前Sinkiti Sibata
date 日付October 20, 2009 00:53:02 UTC 2009 年 10 月 20 日 (火) 9 時 53 分 2 秒 (日本時間)
composite number 合成数
9913906176059629577784776020399763476951866506555456692782983472396995449338289831356817361778572970566929<106>
prime factors 素因数
169614191986582534837876557862778719969<39>
58449744446171562033124569550340500630093465656033560005869360417841<68>
factorization results 素因数分解の結果
Number: 67773_112
N=9913906176059629577784776020399763476951866506555456692782983472396995449338289831356817361778572970566929
  ( 106 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=169614191986582534837876557862778719969 (pp39)
 r2=58449744446171562033124569550340500630093465656033560005869360417841 (pp68)
Version: Msieve-1.40
Total time: 0.85 hours.
Scaled time: 2.87 units (timescale=3.357).
Factorization parameters were as follows:
name: 67773_112
n: 9913906176059629577784776020399763476951866506555456692782983472396995449338289831356817361778572970566929
m: 20000000000000000000000
deg: 5
c5: 1525
c0: -344
skew: 0.74
type: snfs
lss: 1
rlim: 570000
alim: 570000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 570000/570000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [285000, 485001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 66720 x 66968
Total sieving time: 0.83 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,114.000,5,0,0,0,0,0,0,0,0,570000,570000,25,25,45,45,2.2,2.2,50000
total time: 0.85 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 KamadaOctober 15, 2009 07:00:00 UTC 2009 年 10 月 15 日 (木) 16 時 0 分 0 秒 (日本時間)

61×10117-439

c98

name 名前Serge Batalov
date 日付October 19, 2009 07:27:14 UTC 2009 年 10 月 19 日 (月) 16 時 27 分 14 秒 (日本時間)
composite number 合成数
40697929396771532081563169515984481671713029868120891284069189718855430393011122438139303099484361<98>
prime factors 素因数
54281847730996426207359531089<29>
composite cofactor 合成数の残り
749752101263345470108990615445763113552625379099289239504849511949049<69>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2961023599
Step 1 took 2252ms
Step 2 took 1636ms
********** Factor found in step 2: 54281847730996426207359531089
Found probable prime factor of 29 digits: 54281847730996426207359531089
Composite cofactor 749752101263345470108990615445763113552625379099289239504849511949049 has 69 digits

ECM

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

61×10119-439

c117

name 名前Markus Tervooren
date 日付October 19, 2009 13:02:16 UTC 2009 年 10 月 19 日 (月) 22 時 2 分 16 秒 (日本時間)
composite number 合成数
101418192096031389761750378239978718805592963905099173691123414301627678853475651320930387217982609273945500191198231<117>
prime factors 素因数
18859024783656836768732557272811082267693<41>
5377700769761967291695951620134659861264810742042450512996183272621691379667<76>
factorization results 素因数分解の結果
N=101418192096031389761750378239978718805592963905099173691123414301627678853475651320930387217982609273945500191198231
  ( 117 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=18859024783656836768732557272811082267693 (pp41)
 r2=5377700769761967291695951620134659861264810742042450512996183272621691379667 (pp76)
Version: Msieve-1.39
Total time: 1.38 hours.
Scaled time: 2.83 units (timescale=2.056).
Factorization parameters were as follows:
n: 101418192096031389761750378239978718805592963905099173691123414301627678853475651320930387217982609273945500191198231
m: 1000000000000000000000000
deg: 5
c5: 61
c0: -430
skew: 1.48
type: snfs
lss: 1
rlim: 750000
alim: 750000
lpbr: 28
lpba: 28
mfbr: 51
mfba: 51
rlambda: 2.3
alambda: 2.3

Factor base limits: 750000/750000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 51/51
Sieved rational special-q in [375000, 775001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 77736 x 77972
Total sieving time: 1.31 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,750000,750000,28,28,51,51,2.3,2.3,100000
total time: 1.38 hours.
 --------- CPU info (if available) ----------
[    0.144009] CPU0: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.236014] CPU1: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.330177] CPU2: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.428493] CPU3: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.004000] Memory: 8197992k/10485760k available (2226k kernel code, 189844k reserved, 1082k data, 392k init)
[    0.083761] Calibrating delay using timer specific routine.. 5402.28 BogoMIPS (lpj=10804578)
[    0.156009] Calibrating delay using timer specific routine.. 10281.27 BogoMIPS (lpj=20562558)
[    0.252015] Calibrating delay using timer specific routine.. 5333.36 BogoMIPS (lpj=10666723)
[    0.348020] Calibrating delay using timer specific routine.. 5333.36 BogoMIPS (lpj=10666724)
[    0.433291] Total of 4 processors activated (26350.29 BogoMIPS).

ECM

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

61×10120-439

c92

name 名前Sinkiti Sibata
date 日付October 19, 2009 13:52:39 UTC 2009 年 10 月 19 日 (月) 22 時 52 分 39 秒 (日本時間)
composite number 合成数
38016212442269365535939492811864166233423748155738998756090918118704266190664331664663409299<92>
prime factors 素因数
115735921965516571335680014573986691277<39>
328473751248953343156797620176244809016068048692926687<54>
factorization results 素因数分解の結果
Mon Oct 19 21:04:35 2009  Msieve v. 1.42
Mon Oct 19 21:04:35 2009  random seeds: 3f195b67 1c332412
Mon Oct 19 21:04:35 2009  factoring 38016212442269365535939492811864166233423748155738998756090918118704266190664331664663409299 (92 digits)
Mon Oct 19 21:04:35 2009  searching for 15-digit factors
Mon Oct 19 21:04:36 2009  commencing quadratic sieve (92-digit input)
Mon Oct 19 21:04:36 2009  using multiplier of 11
Mon Oct 19 21:04:36 2009  using 64kb Opteron sieve core
Mon Oct 19 21:04:36 2009  sieve interval: 18 blocks of size 65536
Mon Oct 19 21:04:36 2009  processing polynomials in batches of 6
Mon Oct 19 21:04:36 2009  using a sieve bound of 1817833 (68235 primes)
Mon Oct 19 21:04:36 2009  using large prime bound of 198143797 (27 bits)
Mon Oct 19 21:04:36 2009  using double large prime bound of 860131523011962 (42-50 bits)
Mon Oct 19 21:04:36 2009  using trial factoring cutoff of 50 bits
Mon Oct 19 21:04:36 2009  polynomial 'A' values have 12 factors
Mon Oct 19 22:26:01 2009  68577 relations (17398 full + 51179 combined from 859308 partial), need 68331
Mon Oct 19 22:26:01 2009  begin with 876706 relations
Mon Oct 19 22:26:01 2009  reduce to 172614 relations in 10 passes
Mon Oct 19 22:26:01 2009  attempting to read 172614 relations
Mon Oct 19 22:26:03 2009  recovered 172614 relations
Mon Oct 19 22:26:03 2009  recovered 152321 polynomials
Mon Oct 19 22:26:03 2009  attempting to build 68577 cycles
Mon Oct 19 22:26:03 2009  found 68577 cycles in 5 passes
Mon Oct 19 22:26:03 2009  distribution of cycle lengths:
Mon Oct 19 22:26:03 2009     length 1 : 17398
Mon Oct 19 22:26:03 2009     length 2 : 12761
Mon Oct 19 22:26:03 2009     length 3 : 11901
Mon Oct 19 22:26:03 2009     length 4 : 9302
Mon Oct 19 22:26:03 2009     length 5 : 6806
Mon Oct 19 22:26:03 2009     length 6 : 4380
Mon Oct 19 22:26:03 2009     length 7 : 2524
Mon Oct 19 22:26:03 2009     length 9+: 3505
Mon Oct 19 22:26:03 2009  largest cycle: 19 relations
Mon Oct 19 22:26:03 2009  matrix is 68235 x 68577 (17.6 MB) with weight 4075157 (59.42/col)
Mon Oct 19 22:26:03 2009  sparse part has weight 4075157 (59.42/col)
Mon Oct 19 22:26:04 2009  filtering completed in 3 passes
Mon Oct 19 22:26:04 2009  matrix is 64380 x 64442 (16.6 MB) with weight 3842512 (59.63/col)
Mon Oct 19 22:26:04 2009  sparse part has weight 3842512 (59.63/col)
Mon Oct 19 22:26:04 2009  saving the first 48 matrix rows for later
Mon Oct 19 22:26:04 2009  matrix is 64332 x 64442 (9.7 MB) with weight 2887480 (44.81/col)
Mon Oct 19 22:26:04 2009  sparse part has weight 1908982 (29.62/col)
Mon Oct 19 22:26:04 2009  matrix includes 64 packed rows
Mon Oct 19 22:26:04 2009  using block size 21845 for processor cache size 512 kB
Mon Oct 19 22:26:04 2009  commencing Lanczos iteration
Mon Oct 19 22:26:04 2009  memory use: 9.7 MB
Mon Oct 19 22:26:26 2009  lanczos halted after 1019 iterations (dim = 64328)
Mon Oct 19 22:26:26 2009  recovered 15 nontrivial dependencies
Mon Oct 19 22:26:26 2009  prp39 factor: 115735921965516571335680014573986691277
Mon Oct 19 22:26:26 2009  prp54 factor: 328473751248953343156797620176244809016068048692926687
Mon Oct 19 22:26:26 2009  elapsed time 01:21:51

ECM

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

61×10122-439

c123

name 名前Dmitry Domanov
date 日付October 19, 2009 19:17:32 UTC 2009 年 10 月 20 日 (火) 4 時 17 分 32 秒 (日本時間)
composite number 合成数
677777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773<123>
prime factors 素因数
59544934507775516158943494685175067246137026467<47>
11382626975419243727594986795981518800792864977351934231028615329300433644719<77>
factorization results 素因数分解の結果
Number: snfs123
N=677777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773
  ( 123 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=59544934507775516158943494685175067246137026467 (pp47)
 r2=11382626975419243727594986795981518800792864977351934231028615329300433644719 (pp77)
Version: Msieve-1.40
Total time: 2.44 hours.
Scaled time: 4.78 units (timescale=1.957).
Factorization parameters were as follows:
n: 677777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773
m: 2000000000000000000000000
deg: 5
c5: 1525
c0: -344
skew: 0.74
type: snfs
lss: 1
rlim: 840000
alim: 840000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 840000/840000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [420000, 970001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 96128 x 96356
Total sieving time: 2.38 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,124.000,5,0,0,0,0,0,0,0,0,840000,840000,25,25,46,46,2.2,2.2,50000
total time: 2.44 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

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

61×10127-439

c126

name 名前Dmitry Domanov
date 日付October 23, 2009 13:46:14 UTC 2009 年 10 月 23 日 (金) 22 時 46 分 14 秒 (日本時間)
composite number 合成数
358612580834803057025279247501469723691945914168136390358612580834803057025279247501469723691945914168136390358612580834803057<126>
prime factors 素因数
407477037943091526384154945619729486878481<42>
880080464521505363745973815942538725788188776246941876761082167649369496854560358497<84>
factorization results 素因数分解の結果
Number: s126
N=358612580834803057025279247501469723691945914168136390358612580834803057025279247501469723691945914168136390358612580834803057
  ( 126 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=407477037943091526384154945619729486878481 (pp42)
 r2=880080464521505363745973815942538725788188776246941876761082167649369496854560358497 (pp84)
Version: Msieve-1.40
Total time: 2.34 hours.
Scaled time: 4.27 units (timescale=1.823).
Factorization parameters were as follows:
n: 358612580834803057025279247501469723691945914168136390358612580834803057025279247501469723691945914168136390358612580834803057
m: 20000000000000000000000000
deg: 5
c5: 1525
c0: -344
skew: 0.74
type: snfs
lss: 1
rlim: 1020000
alim: 1020000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1020000/1020000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [510000, 960001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 164071 x 164319
Total sieving time: 2.14 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,129.000,5,0,0,0,0,0,0,0,0,1020000,1020000,26,26,47,47,2.3,2.3,50000
total time: 2.34 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 20, 2009 12:00:00 UTC 2009 年 10 月 20 日 (火) 21 時 0 分 0 秒 (日本時間)

61×10128-439

c122

name 名前Erik Branger
date 日付October 22, 2009 14:40:33 UTC 2009 年 10 月 22 日 (木) 23 時 40 分 33 秒 (日本時間)
composite number 合成数
45877734048776289285977975243066063718922977624684531351012100041769044522408012755333751001215737389472547677739423240019<122>
prime factors 素因数
5536611687315353779610747923377308454801944617579961851913<58>
8286247372898555574310188241936816191159007996701514902479901563<64>
factorization results 素因数分解の結果
Number: 67773_128
N=45877734048776289285977975243066063718922977624684531351012100041769044522408012755333751001215737389472547677739423240019
  ( 122 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=5536611687315353779610747923377308454801944617579961851913 (pp58)
 r2=8286247372898555574310188241936816191159007996701514902479901563 (pp64)
Version: Msieve-1.40
Total time: 3.17 hours.
Scaled time: 3.20 units (timescale=1.009).
Factorization parameters were as follows:
n: 45877734048776289285977975243066063718922977624684531351012100041769044522408012755333751001215737389472547677739423240019
m: 50000000000000000000000000
deg: 5
c5: 488
c0: -1075
skew: 1.17
type: snfs
lss: 1
rlim: 1080000
alim: 1080000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1080000/1080000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [540000, 1040001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 158781 x 159007
Total sieving time: 3.02 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,131.000,5,0,0,0,0,0,0,0,0,1080000,1080000,26,26,47,47,2.3,2.3,50000
total time: 3.17 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 20, 2009 12:00:00 UTC 2009 年 10 月 20 日 (火) 21 時 0 分 0 秒 (日本時間)

61×10129-439

c128

name 名前Dmitry Domanov
date 日付October 23, 2009 16:06:13 UTC 2009 年 10 月 24 日 (土) 1 時 6 分 13 秒 (日本時間)
composite number 合成数
12716281008963935793204085887012716281008963935793204085887012716281008963935793204085887012716281008963935793204085887012716281<128>
prime factors 素因数
2287528054637314045109190267051066417529641653837<49>
5558961772374893628056239196627218661806824030916893112945718861901654135077213<79>
factorization results 素因数分解の結果
Number: s128
N=12716281008963935793204085887012716281008963935793204085887012716281008963935793204085887012716281008963935793204085887012716281
  ( 128 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=2287528054637314045109190267051066417529641653837 (pp49)
 r2=5558961772374893628056239196627218661806824030916893112945718861901654135077213 (pp79)
Version: Msieve-1.40
Total time: 2.30 hours.
Scaled time: 4.36 units (timescale=1.894).
Factorization parameters were as follows:
n: 12716281008963935793204085887012716281008963935793204085887012716281008963935793204085887012716281008963935793204085887012716281
m: 100000000000000000000000000
deg: 5
c5: 61
c0: -430
skew: 1.48
type: snfs
lss: 1
rlim: 1100000
alim: 1100000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [550000, 950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 157778 x 158003
Total sieving time: 2.18 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,131.000,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,50000
total time: 2.30 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 20, 2009 12:00:00 UTC 2009 年 10 月 20 日 (火) 21 時 0 分 0 秒 (日本時間)

61×10130-439

c125

name 名前Erik Branger
date 日付October 22, 2009 16:23:15 UTC 2009 年 10 月 23 日 (金) 1 時 23 分 15 秒 (日本時間)
composite number 合成数
11372154251229120142204873907697593091009877685396735218571779350453496343656658033710159918029512157140502014987268873315749<125>
prime factors 素因数
24361422306134632500392015614068389799001<41>
466809946821758952510988775171027699846042995590601360581498213062383282235577864749<84>
factorization results 素因数分解の結果
Number: 67773_130
N=11372154251229120142204873907697593091009877685396735218571779350453496343656658033710159918029512157140502014987268873315749
  ( 125 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=24361422306134632500392015614068389799001 (pp41)
 r2=466809946821758952510988775171027699846042995590601360581498213062383282235577864749 (pp84)
Version: Msieve-1.40
Total time: 2.99 hours.
Scaled time: 3.03 units (timescale=1.016).
Factorization parameters were as follows:
n: 11372154251229120142204873907697593091009877685396735218571779350453496343656658033710159918029512157140502014987268873315749
m: 100000000000000000000000000
deg: 5
c5: 61
c0: -43
skew: 0.93
type: snfs
lss: 1
rlim: 1100000
alim: 1100000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [550000, 1000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 158677 x 158902
Total sieving time: 2.87 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,131.000,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,50000
total time: 2.99 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 20, 2009 12:00:00 UTC 2009 年 10 月 20 日 (火) 21 時 0 分 0 秒 (日本時間)

61×10131-439

c120

name 名前Jo Yeong Uk
date 日付October 22, 2009 14:49:14 UTC 2009 年 10 月 22 日 (木) 23 時 49 分 14 秒 (日本時間)
composite number 合成数
109744401802763599807563603019940736292097143021592772647580168164876472110366275650925686730214991920095467557440218959<120>
prime factors 素因数
3176842301068964566003730214226708951<37>
34545121036016200581235088091939562853984600621026803667217884043326708540802158409<83>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 109744401802763599807563603019940736292097143021592772647580168164876472110366275650925686730214991920095467557440218959 (120 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=5415166480
Step 1 took 4446ms
Step 2 took 3744ms
********** Factor found in step 2: 3176842301068964566003730214226708951
Found probable prime factor of 37 digits: 3176842301068964566003730214226708951
Probable prime cofactor 34545121036016200581235088091939562853984600621026803667217884043326708540802158409 has 83 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 20, 2009 12:00:00 UTC 2009 年 10 月 20 日 (火) 21 時 0 分 0 秒 (日本時間)

61×10132-439

c133

name 名前Sinkiti Sibata
date 日付October 24, 2009 13:51:39 UTC 2009 年 10 月 24 日 (土) 22 時 51 分 39 秒 (日本時間)
composite number 合成数
6777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773<133>
prime factors 素因数
4725606646772188984100152280396967524259863324041339868262971543<64>
1434266176683858768188100131193185398372991118836079821228326791155611<70>
factorization results 素因数分解の結果
Number: 67773_132
N=6777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773
  ( 133 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=4725606646772188984100152280396967524259863324041339868262971543 (pp64)
 r2=1434266176683858768188100131193185398372991118836079821228326791155611 (pp70)
Version: Msieve-1.40
Total time: 5.14 hours.
Scaled time: 10.57 units (timescale=2.058).
Factorization parameters were as follows:
name: 67773_132
n: 6777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773
m: 200000000000000000000000000
deg: 5
c5: 1525
c0: -344
skew: 0.74
type: snfs
lss: 1
rlim: 1230000
alim: 1230000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1230000/1230000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [615000, 1290001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 209854 x 210102
Total sieving time: 4.89 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,134.000,5,0,0,0,0,0,0,0,0,1230000,1230000,26,26,47,47,2.3,2.3,75000
total time: 5.14 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 KamadaOctober 20, 2009 12:00:00 UTC 2009 年 10 月 20 日 (火) 21 時 0 分 0 秒 (日本時間)

61×10134-439

c111

name 名前Serge Batalov
date 日付October 22, 2009 08:42:55 UTC 2009 年 10 月 22 日 (木) 17 時 42 分 55 秒 (日本時間)
composite number 合成数
203502876910922785989203950743203470475262520851108743954927752179699647634838995061466488121604696937102111217<111>
prime factors 素因数
1831503425435850397873609102464649<34>
111112474093513840929249072675763204026659155993419160560629525083563818952233<78>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3439666732
Step 1 took 2376ms
Step 2 took 1740ms
********** Factor found in step 2: 1831503425435850397873609102464649
Found probable prime factor of 34 digits: 1831503425435850397873609102464649
Probable prime cofactor has 78 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 20, 2009 12:00:00 UTC 2009 年 10 月 20 日 (火) 21 時 0 分 0 秒 (日本時間)

61×10135-439

c110

name 名前Erik Branger
date 日付October 24, 2009 14:38:38 UTC 2009 年 10 月 24 日 (土) 23 時 38 分 38 秒 (日本時間)
composite number 合成数
15905773360087939094211704956938899126912493543414565319868815848987679577477410100590419453658538537876211333<110>
prime factors 素因数
344359163910943223401461453853061057<36>
46189487683276597744389391866230132568115599033739994894011952870193891269<74>
factorization results 素因数分解の結果
Number: 67773_135
N=15905773360087939094211704956938899126912493543414565319868815848987679577477410100590419453658538537876211333
  ( 110 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=344359163910943223401461453853061057 (pp36)
 r2=46189487683276597744389391866230132568115599033739994894011952870193891269 (pp74)
Version: Msieve-1.40
Total time: 4.16 hours.
Scaled time: 4.09 units (timescale=0.982).
Factorization parameters were as follows:
n: 15905773360087939094211704956938899126912493543414565319868815848987679577477410100590419453658538537876211333
m: 1000000000000000000000000000
deg: 5
c5: 61
c0: -43
skew: 0.93
type: snfs
lss: 1
rlim: 1330000
alim: 1330000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1330000/1330000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [665000, 1265001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 222182 x 222426
Total sieving time: 3.99 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1330000,1330000,26,26,48,48,2.3,2.3,75000
total time: 4.16 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 20, 2009 12:00:00 UTC 2009 年 10 月 20 日 (火) 21 時 0 分 0 秒 (日本時間)

61×10136-439

c116

name 名前Serge Batalov
date 日付October 22, 2009 09:07:30 UTC 2009 年 10 月 22 日 (木) 18 時 7 分 30 秒 (日本時間)
composite number 合成数
17071349696142632928841264850290271845617758182086705107179622450359981038184756353282694580031080724170057119350311<116>
prime factors 素因数
12762555760914007064522497751<29>
10349872985004151773018766049391856485769<41>
129239475256057751190438900176125167669174590569<48>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3786057409
Step 1 took 2316ms
Step 2 took 1736ms
********** Factor found in step 2: 12762555760914007064522497751
Found probable prime factor of 29 digits: 12762555760914007064522497751
Composite cofactor has 88 digits
======= Welcome to YAFU (Yet Another Factoring Utility) =======
10/22/09 01:58:55 v1.12 
...
matrix is 52455 x 52519 (11.1 MB) with weight 2478722 (47.20/col)
sparse part has weight 2478722 (47.20/col)
saving the first 48 matrix rows for later
matrix is 52407 x 52519 (9.5 MB) with weight 2096421 (39.92/col)
sparse part has weight 1970874 (37.53/col)
matrix includes 64 packed rows
using block size 21007 for processor cache size 1024 kB
commencing Lanczos iteration
memory use: 7.9 MB
lanczos halted after 830 iterations (dim = 52400)
recovered 15 nontrivial dependencies
Lanczos elapsed time = 25.8200 seconds.
Sqrt elapsed time = 1.3100 seconds.
SIQS elapsed time = 396.6406 seconds.
***factors found***

PRP48 = 129239475256057751190438900176125167669174590569
PRP41 = 10349872985004151773018766049391856485769
software ソフトウェア
GMP-ECM 6.2.1 + yafu v1.12 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 20, 2009 12:00:00 UTC 2009 年 10 月 20 日 (火) 21 時 0 分 0 秒 (日本時間)

61×10138-439

c136

name 名前Dmitry Domanov
date 日付October 24, 2009 06:16:05 UTC 2009 年 10 月 24 日 (土) 15 時 16 分 5 秒 (日本時間)
composite number 合成数
3543009815879653830516350119068362664808038566533077771969564964860312481849334959632920950223616193297322413893245048498576987860835221<136>
prime factors 素因数
19822961305870189378473837722701931<35>
49642245410591432336300254111585192267<38>
3600413696042753233794529585243447232275463312210167503100777373<64>
factorization results 素因数分解の結果
Number: s136
N=3543009815879653830516350119068362664808038566533077771969564964860312481849334959632920950223616193297322413893245048498576987860835221
  ( 136 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=19822961305870189378473837722701931 (pp35)
 r2=49642245410591432336300254111585192267 (pp38)
 r3=3600413696042753233794529585243447232275463312210167503100777373 (pp64)
Version: Msieve-1.40
Total time: 6.18 hours.
Scaled time: 11.18 units (timescale=1.808).
Factorization parameters were as follows:
n: 3543009815879653830516350119068362664808038566533077771969564964860312481849334959632920950223616193297322413893245048498576987860835221
m: 5000000000000000000000000000
deg: 5
c5: 488
c0: -1075
skew: 1.17
type: snfs
lss: 1
rlim: 1580000
alim: 1580000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1580000/1580000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [790000, 1990001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 240685 x 240913
Total sieving time: 6.03 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1580000,1580000,26,26,48,48,2.3,2.3,100000
total time: 6.18 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 20, 2009 12:00:00 UTC 2009 年 10 月 20 日 (火) 21 時 0 分 0 秒 (日本時間)

61×10140-439

c141

name 名前Sinkiti Sibata
date 日付October 24, 2009 08:00:57 UTC 2009 年 10 月 24 日 (土) 17 時 0 分 57 秒 (日本時間)
composite number 合成数
677777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773<141>
prime factors 素因数
325989444321476741768568655839830941695732012474364613<54>
2079140259245273419208476348596406001746636489082295143446360245837532934734529053949321<88>
factorization results 素因数分解の結果
Number: 67773_140
N=677777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773
  ( 141 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=325989444321476741768568655839830941695732012474364613 (pp54)
 r2=2079140259245273419208476348596406001746636489082295143446360245837532934734529053949321 (pp88)
Version: Msieve-1.40
Total time: 8.13 hours.
Scaled time: 16.63 units (timescale=2.047).
Factorization parameters were as follows:
name: 67773_140
n: 677777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773
m: 10000000000000000000000000000
deg: 5
c5: 61
c0: -43
skew: 0.93
type: snfs
lss: 1
rlim: 1620000
alim: 1620000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1620000/1620000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [810000, 1810001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 248303 x 248545
Total sieving time: 7.81 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1620000,1620000,26,26,48,48,2.3,2.3,100000
total time: 8.13 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 20, 2009 12:00:00 UTC 2009 年 10 月 20 日 (火) 21 時 0 分 0 秒 (日本時間)

61×10143-439

c144

name 名前Sinkiti Sibata
date 日付October 23, 2009 05:53:45 UTC 2009 年 10 月 23 日 (金) 14 時 53 分 45 秒 (日本時間)
composite number 合成数
677777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773<144>
prime factors 素因数
1200283367986996913095104606977284717546493557<46>
564681470938386259483663674816910554996872081880213418373669960124803403134080700332834602060881689<99>
factorization results 素因数分解の結果
Number: 67773_143
N=677777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773
  ( 144 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=1200283367986996913095104606977284717546493557 (pp46)
 r2=564681470938386259483663674816910554996872081880213418373669960124803403134080700332834602060881689 (pp99)
Version: Msieve-1.40
Total time: 13.06 hours.
Scaled time: 27.23 units (timescale=2.085).
Factorization parameters were as follows:
name: 67773_143
n: 677777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773
m: 50000000000000000000000000000
deg: 5
c5: 488
c0: -1075
skew: 1.17
type: snfs
lss: 1
rlim: 1910000
alim: 1910000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1910000/1910000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [955000, 2555001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 328328 x 328560
Total sieving time: 12.55 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.37 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1910000,1910000,26,26,49,49,2.3,2.3,100000
total time: 13.06 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 KamadaOctober 20, 2009 12:00:00 UTC 2009 年 10 月 20 日 (火) 21 時 0 分 0 秒 (日本時間)

61×10144-439

c142

name 名前Dmitry Domanov
date 日付October 23, 2009 20:48:22 UTC 2009 年 10 月 24 日 (土) 5 時 48 分 22 秒 (日本時間)
composite number 合成数
5700401831604522941781141949350527988038501074665919072983833286608728156247079712176432109148677693673488459022521259695355574245397626390057<142>
prime factors 素因数
71125248172047812172367744106022257084097146704433<50>
80145967544683774899184978886451319499171988890775611014685828126239600820562577193465265529<92>
factorization results 素因数分解の結果
Number: s142
N=5700401831604522941781141949350527988038501074665919072983833286608728156247079712176432109148677693673488459022521259695355574245397626390057
  ( 142 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=71125248172047812172367744106022257084097146704433 (pp50)
 r2=80145967544683774899184978886451319499171988890775611014685828126239600820562577193465265529 (pp92)
Version: Msieve-1.40
Total time: 8.24 hours.
Scaled time: 14.82 units (timescale=1.798).
Factorization parameters were as follows:
n: 5700401831604522941781141949350527988038501074665919072983833286608728156247079712176432109148677693673488459022521259695355574245397626390057
m: 100000000000000000000000000000
deg: 5
c5: 61
c0: -430
skew: 1.48
type: snfs
lss: 1
rlim: 1960000
alim: 1960000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1960000/1960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [980000, 2480001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 269112 x 269338
Total sieving time: 8.00 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1960000,1960000,26,26,49,49,2.3,2.3,100000
total time: 8.24 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 20, 2009 12:00:00 UTC 2009 年 10 月 20 日 (火) 21 時 0 分 0 秒 (日本時間)

61×10151-439

c145

name 名前Serge Batalov
date 日付November 1, 2009 22:12:29 UTC 2009 年 11 月 2 日 (月) 7 時 12 分 29 秒 (日本時間)
composite number 合成数
5370711938845235125938748720791063959429888538445532656336604105708535882910661385302243813892927708289129512631751597916667382027888029249214179<145>
prime factors 素因数
83744503330471900677166329923<29>
64132112858217976351724434584972306655962105958394673205655435117315367038933800044622855933622801454864869748712673<116>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2553111147
Step 1 took 2976ms
Step 2 took 2160ms
********** Factor found in step 2: 83744503330471900677166329923
Found probable prime factor of 29 digits: 83744503330471900677166329923
Probable prime cofactor has 116 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 1, 2009 10:00:00 UTC 2009 年 11 月 1 日 (日) 19 時 0 分 0 秒 (日本時間)

61×10153-439

c90

name 名前Robert Backstrom
date 日付November 1, 2009 20:57:24 UTC 2009 年 11 月 2 日 (月) 5 時 57 分 24 秒 (日本時間)
composite number 合成数
246512017736288227111883965007638091540411285199799444194590282370792883170754051216399957<90>
prime factors 素因数
45693359951345274428864482310057<32>
5394919918315846661654873441474430625034440751142940650701<58>
factorization results 素因数分解の結果
Mon Nov 02 03:33:12 2009  
Mon Nov 02 03:33:12 2009  
Mon Nov 02 03:33:12 2009  Msieve v. 1.43
Mon Nov 02 03:33:12 2009  random seeds: cc560800 188deb0c
Mon Nov 02 03:33:12 2009  factoring 246512017736288227111883965007638091540411285199799444194590282370792883170754051216399957 (90 digits)
Mon Nov 02 03:33:13 2009  searching for 15-digit factors
Mon Nov 02 03:33:13 2009  commencing quadratic sieve (90-digit input)
Mon Nov 02 03:33:13 2009  using multiplier of 13
Mon Nov 02 03:33:13 2009  using 64kb Opteron sieve core
Mon Nov 02 03:33:13 2009  sieve interval: 18 blocks of size 65536
Mon Nov 02 03:33:13 2009  processing polynomials in batches of 6
Mon Nov 02 03:33:13 2009  using a sieve bound of 1573933 (59667 primes)
Mon Nov 02 03:33:13 2009  using large prime bound of 125914640 (26 bits)
Mon Nov 02 03:33:13 2009  using double large prime bound of 380309430790000 (42-49 bits)
Mon Nov 02 03:33:13 2009  using trial factoring cutoff of 49 bits
Mon Nov 02 03:33:13 2009  polynomial 'A' values have 12 factors
Mon Nov 02 04:18:09 2009  60043 relations (17135 full + 42908 combined from 621739 partial), need 59763
Mon Nov 02 04:18:10 2009  begin with 638874 relations
Mon Nov 02 04:18:11 2009  reduce to 141771 relations in 9 passes
Mon Nov 02 04:18:11 2009  attempting to read 141771 relations
Mon Nov 02 04:18:13 2009  recovered 141771 relations
Mon Nov 02 04:18:13 2009  recovered 114749 polynomials
Mon Nov 02 04:18:13 2009  attempting to build 60043 cycles
Mon Nov 02 04:18:13 2009  found 60043 cycles in 5 passes
Mon Nov 02 04:18:13 2009  distribution of cycle lengths:
Mon Nov 02 04:18:13 2009     length 1 : 17135
Mon Nov 02 04:18:13 2009     length 2 : 12120
Mon Nov 02 04:18:13 2009     length 3 : 10745
Mon Nov 02 04:18:13 2009     length 4 : 7680
Mon Nov 02 04:18:13 2009     length 5 : 5263
Mon Nov 02 04:18:13 2009     length 6 : 3247
Mon Nov 02 04:18:13 2009     length 7 : 1823
Mon Nov 02 04:18:13 2009     length 9+: 2030
Mon Nov 02 04:18:13 2009  largest cycle: 18 relations
Mon Nov 02 04:18:13 2009  matrix is 59667 x 60043 (14.3 MB) with weight 3498442 (58.27/col)
Mon Nov 02 04:18:13 2009  sparse part has weight 3498442 (58.27/col)
Mon Nov 02 04:18:14 2009  filtering completed in 3 passes
Mon Nov 02 04:18:14 2009  matrix is 54812 x 54876 (13.1 MB) with weight 3213472 (58.56/col)
Mon Nov 02 04:18:14 2009  sparse part has weight 3213472 (58.56/col)
Mon Nov 02 04:18:14 2009  saving the first 48 matrix rows for later
Mon Nov 02 04:18:14 2009  matrix is 54764 x 54876 (8.3 MB) with weight 2511809 (45.77/col)
Mon Nov 02 04:18:14 2009  sparse part has weight 1845177 (33.62/col)
Mon Nov 02 04:18:14 2009  matrix includes 64 packed rows
Mon Nov 02 04:18:14 2009  using block size 21950 for processor cache size 1024 kB
Mon Nov 02 04:18:15 2009  commencing Lanczos iteration
Mon Nov 02 04:18:15 2009  memory use: 8.5 MB
Mon Nov 02 04:18:31 2009  lanczos halted after 868 iterations (dim = 54761)
Mon Nov 02 04:18:31 2009  recovered 16 nontrivial dependencies
Mon Nov 02 04:18:31 2009  prp32 factor: 45693359951345274428864482310057
Mon Nov 02 04:18:31 2009  prp58 factor: 5394919918315846661654873441474430625034440751142940650701
Mon Nov 02 04:18:31 2009  elapsed time 00:45:19

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 1, 2009 10:00:00 UTC 2009 年 11 月 1 日 (日) 19 時 0 分 0 秒 (日本時間)

61×10155-439

c142

name 名前Jo Yeong Uk
date 日付November 10, 2009 11:18:13 UTC 2009 年 11 月 10 日 (火) 20 時 18 分 13 秒 (日本時間)
composite number 合成数
4340622041948858448170164123031439379962172720964831379039893892595501831032998542728524811238685147412778859492166572369332930590658117968161<142>
prime factors 素因数
10773558329235854559383288960393828305859609444921<50>
402895859408850435228560980284998721882290483647477062554586284734865868390478708391490598441<93>
factorization results 素因数分解の結果
Number: 67773_155
N=4340622041948858448170164123031439379962172720964831379039893892595501831032998542728524811238685147412778859492166572369332930590658117968161
  ( 142 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=10773558329235854559383288960393828305859609444921
 r2=402895859408850435228560980284998721882290483647477062554586284734865868390478708391490598441
Version: 
Total time: 12.33 hours.
Scaled time: 29.14 units (timescale=2.363).
Factorization parameters were as follows:
n: 4340622041948858448170164123031439379962172720964831379039893892595501831032998542728524811238685147412778859492166572369332930590658117968161
m: 10000000000000000000000000000000
deg: 5
c5: 61
c0: -43
skew: 0.93
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8018085
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 546740 x 546988
Total sieving time: 11.04 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 0.66 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 12.33 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 1, 2009 10:00:00 UTC 2009 年 11 月 1 日 (日) 19 時 0 分 0 秒 (日本時間)

61×10158-439

c105

name 名前Dmitry Domanov
date 日付November 2, 2009 11:34:10 UTC 2009 年 11 月 2 日 (月) 20 時 34 分 10 秒 (日本時間)
composite number 合成数
524424672379079678588623369392639247096995884972668201702910020068551232364523701651887851582888948072633<105>
prime factors 素因数
538930019607965917593456121461723178381422529<45>
973084915107460761577962192463788650452260933314120111165177<60>
factorization results 素因数分解の結果
Number: 105-1
N=524424672379079678588623369392639247096995884972668201702910020068551232364523701651887851582888948072633
  ( 105 digits)
Divisors found:
 r1=538930019607965917593456121461723178381422529 (pp45)
 r2=973084915107460761577962192463788650452260933314120111165177 (pp60)
Version: Msieve-1.40
Total time: 7.43 hours.
Scaled time: 14.55 units (timescale=1.957).
Factorization parameters were as follows:
name: 105-1
n: 524424672379079678588623369392639247096995884972668201702910020068551232364523701651887851582888948072633
skew: 10475.57
# norm 2.35e+014
c5: 33780
c4: 697987307
c3: -22064199777319
c2: -115402330232616307
c1: 654120283538760778254
c0: -688732206002588239770960
# alpha -5.48
Y1: 17799602311
Y0: -109195414579225721363
# Murphy_E 1.89e-009
# M 96514144602388307565875898422554406240271026751061528882716032843747888924680983653499298113795581082078
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 294609 x 294834
Polynomial selection time: 0.74 hours.
Total sieving time: 6.36 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 7.43 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 1, 2009 10:00:00 UTC 2009 年 11 月 1 日 (日) 19 時 0 分 0 秒 (日本時間)

61×10160-439

c115

name 名前Jo Yeong Uk
date 日付November 13, 2009 04:27:58 UTC 2009 年 11 月 13 日 (金) 13 時 27 分 58 秒 (日本時間)
composite number 合成数
1413705254159855371061936185876921103504280730923166822583108539086549753629478508296087325967444560737441760015309<115>
prime factors 素因数
1817926149208691502729521475457905515096473051<46>
777647240937270328992484826480769491945261040621892507628864171690359<69>
factorization results 素因数分解の結果
Number: 67773_160
N=1413705254159855371061936185876921103504280730923166822583108539086549753629478508296087325967444560737441760015309
  ( 115 digits)
Divisors found:
 r1=1817926149208691502729521475457905515096473051
 r2=777647240937270328992484826480769491945261040621892507628864171690359
Version: 
Total time: 15.79 hours.
Scaled time: 37.44 units (timescale=2.371).
Factorization parameters were as follows:
name: 67773_160
n: 1413705254159855371061936185876921103504280730923166822583108539086549753629478508296087325967444560737441760015309
skew: 50536.77
# norm 4.80e+15
c5: 25380
c4: -614505552
c3: -47647136645839
c2: 5452395569024831359
c1: 140859291886924652868131
c0: -4324536369697488192023050839
# alpha -6.16
Y1: 2826537573989
Y0: -8895576914842352240720
# Murphy_E 5.57e-10
# M 161569964661124522022265799579816433730413328407547361845111517972008345354236704372972149102516328162387493120225
type: gnfs
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.6
alambda: 2.6
qintsize: 70000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [1400000, 2450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9221835
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 496281 x 496529
Polynomial selection time: 1.36 hours.
Total sieving time: 12.88 hours.
Total relation processing time: 0.69 hours.
Matrix solve time: 0.56 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2800000,2800000,27,27,52,52,2.6,2.6,70000
total time: 15.79 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 1, 2009 10:00:00 UTC 2009 年 11 月 1 日 (日) 19 時 0 分 0 秒 (日本時間)

61×10162-439

c104

name 名前Dmitry Domanov
date 日付November 2, 2009 09:07:53 UTC 2009 年 11 月 2 日 (月) 18 時 7 分 53 秒 (日本時間)
composite number 合成数
87726412116706604176181689442432094886173812740815595253113673769486917695859001854338992189607817735963<104>
prime factors 素因数
44852631056757965967627131512225496265304129001<47>
1955881072075677630830269684042401294980535053861409508963<58>
factorization results 素因数分解の結果
Number: 104-1
N=87726412116706604176181689442432094886173812740815595253113673769486917695859001854338992189607817735963
  ( 104 digits)
Divisors found:
 r1=44852631056757965967627131512225496265304129001 (pp47)
 r2=1955881072075677630830269684042401294980535053861409508963 (pp58)
Version: Msieve-1.40
Total time: 6.49 hours.
Scaled time: 12.75 units (timescale=1.963).
Factorization parameters were as follows:
name: 104-1
n: 87726412116706604176181689442432094886173812740815595253113673769486917695859001854338992189607817735963
skew: 5632.48
# norm 3.26e+014
c5: 332760
c4: -1844824732
c3: -51516079167636
c2: 54800028999535425
c1: 509268002826041010748
c0: 204082045054914963700680
# alpha -6.10
Y1: 36944582543
Y0: -48328155326484662947
# Murphy_E 2.08e-009
# M 40661182499693352341660221196869806519260094789467311883817922215784162525054796969538126733752536416370
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 283957 x 284182
Polynomial selection time: 0.64 hours.
Total sieving time: 5.53 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 6.49 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 1, 2009 10:00:00 UTC 2009 年 11 月 1 日 (日) 19 時 0 分 0 秒 (日本時間)

61×10166-439

c149

name 名前Sinkiti Sibata
date 日付December 12, 2009 05:46:59 UTC 2009 年 12 月 12 日 (土) 14 時 46 分 59 秒 (日本時間)
composite number 合成数
61194625658229398109012930480802869719547151981450925484771163997284152763997732120947147166743515730911733207086500287913412099184316954874246803579<149>
prime factors 素因数
1467058864327318536191200519538686958267945548946391343<55>
41712454180418038540092264032930234816532137293588332276077015671466940950225200778451694516853<95>
factorization results 素因数分解の結果
Number: 67773_166
N=61194625658229398109012930480802869719547151981450925484771163997284152763997732120947147166743515730911733207086500287913412099184316954874246803579
  ( 149 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=1467058864327318536191200519538686958267945548946391343 (pp55)
 r2=41712454180418038540092264032930234816532137293588332276077015671466940950225200778451694516853 (pp95)
Version: Msieve-1.40
Total time: 46.34 hours.
Scaled time: 152.30 units (timescale=3.287).
Factorization parameters were as follows:
name: 67773_166
n: 61194625658229398109012930480802869719547151981450925484771163997284152763997732120947147166743515730911733207086500287913412099184316954874246803579
m: 1000000000000000000000000000000000
deg: 5
c5: 610
c0: -43
skew: 0.59
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 4600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 836871 x 837119
Total sieving time: 44.68 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.33 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,167.000,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 46.34 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 1, 2009 10:00:00 UTC 2009 年 11 月 1 日 (日) 19 時 0 分 0 秒 (日本時間)
403e60 / 1369--
4511e6275 / 4475Dmitry DomanovNovember 21, 2009 19:27:15 UTC 2009 年 11 月 22 日 (日) 4 時 27 分 15 秒 (日本時間)

61×10169-439

c164

name 名前Dmitry Domanov
date 日付November 16, 2009 08:07:56 UTC 2009 年 11 月 16 日 (月) 17 時 7 分 56 秒 (日本時間)
composite number 合成数
20148409218683335808945252907621888875049243868186728718482231563817460300945227936806529326521585568824108780534707732295551531819144047352328923242917512115387099<164>
prime factors 素因数
94208236204350919120277255087982042989012675453<47>
27857142756307349104741327554515339623983588929075998349<56>
7677420362824464519085906573888170277526604508620017795302867<61>
factorization results 素因数分解の結果
N=20148409218683335808945252907621888875049243868186728718482231563817460300945227936806529326521585568824108780534707732295551531819144047352328923242917512115387099
  ( 164 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=94208236204350919120277255087982042989012675453 (pp47)
 r2=27857142756307349104741327554515339623983588929075998349 (pp56)
 r3=7677420362824464519085906573888170277526604508620017795302867 (pp61)
Version: Msieve-1.40
Total time: 57.58 hours.
Scaled time: 107.10 units (timescale=1.860).
Factorization parameters were as follows:
n: 20148409218683335808945252907621888875049243868186728718482231563817460300945227936806529326521585568824108780534707732295551531819144047352328923242917512115387099
m: 10000000000000000000000000000000000
deg: 5
c5: 61
c0: -430
skew: 1.48
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 5650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 902518 x 902749
Total sieving time: 56.18 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.02 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 57.58 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 1, 2009 10:00:00 UTC 2009 年 11 月 1 日 (日) 19 時 0 分 0 秒 (日本時間)

61×10170-439

c90

name 名前Robert Backstrom
date 日付November 1, 2009 21:02:56 UTC 2009 年 11 月 2 日 (月) 6 時 2 分 56 秒 (日本時間)
composite number 合成数
767559027977448817671123325954882817351796463364504665823517850583942819516922282264579983<90>
prime factors 素因数
38211612373060375875899611707596153<35>
20087062029305696571393777932719711095353116697806519111<56>
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 767559027977448817671123325954882817351796463364504665823517850583942819516922282264579983 (90 digits)
Using B1=2354000, B2=3567716890, polynomial Dickson(6), sigma=1412220974
Step 1 took 14609ms
Step 2 took 7110ms
********** Factor found in step 2: 38211612373060375875899611707596153
Found probable prime factor of 35 digits: 38211612373060375875899611707596153
Probable prime cofactor 20087062029305696571393777932719711095353116697806519111 has 56 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 1, 2009 10:00:00 UTC 2009 年 11 月 1 日 (日) 19 時 0 分 0 秒 (日本時間)

61×10172-439

c163

name 名前matsui
date 日付December 7, 2009 20:20:37 UTC 2009 年 12 月 8 日 (火) 5 時 20 分 37 秒 (日本時間)
composite number 合成数
1013219733404044411721734469880469813759529495196507933262914040634945128375826233118810109979623807613314404653217433898670300606653927616376108259237164596091869<163>
prime factors 素因数
45877559189501164768877797875928683802683626877074584384877703699129389<71>
22085301644293106916524888744251665456292380269293469527602545567192966951778264232461022321<92>
factorization results 素因数分解の結果
N=1013219733404044411721734469880469813759529495196507933262914040634945128375826233118810109979623807613314404653217433898670300606653927616376108259237164596091869
  ( 163 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=45877559189501164768877797875928683802683626877074584384877703699129389 (pp71)
 r2=22085301644293106916524888744251665456292380269293469527602545567192966951778264232461022321 (pp92)
Version: Msieve v. 1.43
Total time: 
Scaled time: 3.82 units (timescale=1.293).
Factorization parameters were as follows:
n: 1013219733404044411721734469880469813759529495196507933262914040634945128375826233118810109979623807613314404653217433898670300606653927616376108259237164596091869
m: 10000000000000000000000000000000000
deg: 5
c5: 6100
c0: -43
skew: 0.37
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2750000, 7450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1120864 x 1121095
Total sieving time: 
Total relation processing time: 
Matrix solve time:
Time per square root: 
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 1, 2009 10:00:00 UTC 2009 年 11 月 1 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiNovember 30, 2009 15:08:17 UTC 2009 年 12 月 1 日 (火) 0 時 8 分 17 秒 (日本時間)

61×10175-439

c144

name 名前Warut Roonguthai
date 日付January 12, 2012 16:17:05 UTC 2012 年 1 月 13 日 (金) 1 時 17 分 5 秒 (日本時間)
composite number 合成数
391601336193364282707827156024705740850333099147774512556960678936115901886647557222257209596363892996885826665309808539312742694029688884765011<144>
prime factors 素因数
557996230285302695703127599755664699071986259288970366383967881579<66>
701799250495185361197003545059162926616212735657824793999415924642898602785209<78>
factorization results 素因数分解の結果
N = 391601336193364282707827156024705740850333099147774512556960678936115901886647557222257209596363892996885826665309808539312742694029688884765011 (144 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=557996230285302695703127599755664699071986259288970366383967881579 (pp66)
r2=701799250495185361197003545059162926616212735657824793999415924642898602785209 (pp78)
Version: Msieve v. 1.48
Total time: 37.02 hours.
Factorization parameters were as follows:
name: (61*10^175-43)/9
n: 391601336193364282707827156024705740850333099147774512556960678936115901886647557222257209596363892996885826665309808539312742694029688884765011
Y0: 100000000000000000000000000000000000
Y1: -1
c0: -43
c1: 0
c2: 0
c3: 0
c4: 0
c5: 61
skew: 0.93
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20888898
Relations: 2423498 relations
Pruned matrix : 1395326 x 1395551
Polynomial selection time: 0.00 hours.
Total sieving time: 34.20 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.40 hours.
time per square root: 0.30 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 37.02 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 1, 2009 10:00:00 UTC 2009 年 11 月 1 日 (日) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 18, 2010 13:30:29 UTC 2010 年 11 月 18 日 (木) 22 時 30 分 29 秒 (日本時間)
403e62310110Ignacio SantosNovember 18, 2010 13:30:29 UTC 2010 年 11 月 18 日 (木) 22 時 30 分 29 秒 (日本時間)
1000Erik BrangerAugust 10, 2011 19:44:30 UTC 2011 年 8 月 11 日 (木) 4 時 44 分 30 秒 (日本時間)
1200Erik BrangerAugust 11, 2011 16:44:11 UTC 2011 年 8 月 12 日 (金) 1 時 44 分 11 秒 (日本時間)
4511e6403232Ignacio SantosNovember 18, 2010 13:30:29 UTC 2010 年 11 月 18 日 (木) 22 時 30 分 29 秒 (日本時間)
4000Wataru SakaiAugust 22, 2011 13:41:57 UTC 2011 年 8 月 22 日 (月) 22 時 41 分 57 秒 (日本時間)

61×10176-439

c148

name 名前Serge Batalov
date 日付November 1, 2009 22:16:44 UTC 2009 年 11 月 2 日 (月) 7 時 16 分 44 秒 (日本時間)
composite number 合成数
1921999491494633384971794980710081579605186558692308422420546943240987766960170309518401508134379596549163321222812954231315195818984501673821332569<148>
prime factors 素因数
55936980294674513391151031033<29>
34360086679144844121313260956712869553310827453400056575190343859366941459700585511846417879165851191447319575871210593<119>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3489160518
Step 1 took 2980ms
Step 2 took 2196ms
********** Factor found in step 2: 55936980294674513391151031033
Found probable prime factor of 29 digits: 55936980294674513391151031033
Probable prime cofactor has 119 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 1, 2009 10:00:00 UTC 2009 年 11 月 1 日 (日) 19 時 0 分 0 秒 (日本時間)

61×10177-439

c154

name 名前Dmitry Domanov
date 日付May 23, 2013 05:04:12 UTC 2013 年 5 月 23 日 (木) 14 時 4 分 12 秒 (日本時間)
composite number 合成数
1897634057904310948092927552602822380715726686504108835218065919117631648556665163854966230905643328665813169857085362112868395700113686960876610255474521<154>
prime factors 素因数
1043130424620555050661926792537550103843257465254736571<55>
1819172380668109378472745000514584189282205056050899765590916232635123500527738938558277321377011451<100>
factorization results 素因数分解の結果
N=1897634057904310948092927552602822380715726686504108835218065919117631648556665163854966230905643328665813169857085362112868395700113686960876610255474521
  ( 154 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=1043130424620555050661926792537550103843257465254736571 (pp55)
 r2=1819172380668109378472745000514584189282205056050899765590916232635123500527738938558277321377011451 (pp100)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 75.69 hours.
Scaled time: 145.78 units (timescale=1.926).
Factorization parameters were as follows:
n: 1897634057904310948092927552602822380715726686504108835218065919117631648556665163854966230905643328665813169857085362112868395700113686960876610255474521
m: 100000000000000000000000000000000000
deg: 5
c5: 6100
c0: -43
skew: 0.37
# Murphy_E = 8.559e-11
type: snfs
lss: 1
rlim: 6700000
alim: 6700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3350000, 9750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1461847 x 1462076
Total sieving time: 73.26 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.12 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,178.000,5,0,0,0,0,0,0,0,0,6700000,6700000,28,28,53,53,2.5,2.5,100000
total time: 75.69 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 1, 2009 10:00:00 UTC 2009 年 11 月 1 日 (日) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 18, 2010 13:32:05 UTC 2010 年 11 月 18 日 (木) 22 時 32 分 5 秒 (日本時間)
403e6110Ignacio SantosNovember 18, 2010 13:32:05 UTC 2010 年 11 月 18 日 (木) 22 時 32 分 5 秒 (日本時間)
4511e6332 / 373532Ignacio SantosNovember 18, 2010 13:32:05 UTC 2010 年 11 月 18 日 (木) 22 時 32 分 5 秒 (日本時間)
300Rich DickersonAugust 22, 2011 01:27:53 UTC 2011 年 8 月 22 日 (月) 10 時 27 分 53 秒 (日本時間)
5043e6200 / 7472100Rich DickersonAugust 22, 2011 04:29:14 UTC 2011 年 8 月 22 日 (月) 13 時 29 分 14 秒 (日本時間)
100Rich DickersonAugust 22, 2011 12:27:57 UTC 2011 年 8 月 22 日 (月) 21 時 27 分 57 秒 (日本時間)

61×10179-439

c94

name 名前Sinkiti Sibata
date 日付November 1, 2009 22:50:05 UTC 2009 年 11 月 2 日 (月) 7 時 50 分 5 秒 (日本時間)
composite number 合成数
6852311267507054493047841489595293852612752095255092259071980445075187069060064528087445437791<94>
prime factors 素因数
623546059778895442296480169519561<33>
10989262396970049806453474363931603119465274029106206008787431<62>
factorization results 素因数分解の結果
Mon Nov  2 01:27:00 2009  Msieve v. 1.42
Mon Nov  2 01:27:00 2009  random seeds: d6c920ea 1c141072
Mon Nov  2 01:27:00 2009  factoring 6852311267507054493047841489595293852612752095255092259071980445075187069060064528087445437791 (94 digits)
Mon Nov  2 01:27:02 2009  no P-1/P+1/ECM available, skipping
Mon Nov  2 01:27:02 2009  commencing quadratic sieve (94-digit input)
Mon Nov  2 01:27:02 2009  using multiplier of 1
Mon Nov  2 01:27:02 2009  using 64kb Pentium 4 sieve core
Mon Nov  2 01:27:02 2009  sieve interval: 18 blocks of size 65536
Mon Nov  2 01:27:02 2009  processing polynomials in batches of 6
Mon Nov  2 01:27:02 2009  using a sieve bound of 2059517 (76466 primes)
Mon Nov  2 01:27:02 2009  using large prime bound of 284213346 (28 bits)
Mon Nov  2 01:27:02 2009  using double large prime bound of 1646493387513360 (42-51 bits)
Mon Nov  2 01:27:02 2009  using trial factoring cutoff of 51 bits
Mon Nov  2 01:27:02 2009  polynomial 'A' values have 12 factors
Mon Nov  2 07:38:32 2009  76759 relations (18206 full + 58553 combined from 1116861 partial), need 76562
Mon Nov  2 07:38:37 2009  begin with 1135067 relations
Mon Nov  2 07:38:38 2009  reduce to 202625 relations in 11 passes
Mon Nov  2 07:38:38 2009  attempting to read 202625 relations
Mon Nov  2 07:38:44 2009  recovered 202625 relations
Mon Nov  2 07:38:44 2009  recovered 188056 polynomials
Mon Nov  2 07:38:45 2009  attempting to build 76759 cycles
Mon Nov  2 07:38:45 2009  found 76759 cycles in 7 passes
Mon Nov  2 07:38:45 2009  distribution of cycle lengths:
Mon Nov  2 07:38:45 2009     length 1 : 18206
Mon Nov  2 07:38:45 2009     length 2 : 13145
Mon Nov  2 07:38:45 2009     length 3 : 12782
Mon Nov  2 07:38:45 2009     length 4 : 10530
Mon Nov  2 07:38:45 2009     length 5 : 8057
Mon Nov  2 07:38:45 2009     length 6 : 5385
Mon Nov  2 07:38:45 2009     length 7 : 3551
Mon Nov  2 07:38:45 2009     length 9+: 5103
Mon Nov  2 07:38:45 2009  largest cycle: 21 relations
Mon Nov  2 07:38:45 2009  matrix is 76466 x 76759 (20.3 MB) with weight 5004334 (65.20/col)
Mon Nov  2 07:38:45 2009  sparse part has weight 5004334 (65.20/col)
Mon Nov  2 07:38:47 2009  filtering completed in 3 passes
Mon Nov  2 07:38:47 2009  matrix is 73244 x 73308 (19.4 MB) with weight 4800140 (65.48/col)
Mon Nov  2 07:38:47 2009  sparse part has weight 4800140 (65.48/col)
Mon Nov  2 07:38:47 2009  saving the first 48 matrix rows for later
Mon Nov  2 07:38:48 2009  matrix is 73196 x 73308 (12.0 MB) with weight 3773269 (51.47/col)
Mon Nov  2 07:38:48 2009  sparse part has weight 2718479 (37.08/col)
Mon Nov  2 07:38:48 2009  matrix includes 64 packed rows
Mon Nov  2 07:38:48 2009  using block size 21845 for processor cache size 512 kB
Mon Nov  2 07:38:48 2009  commencing Lanczos iteration
Mon Nov  2 07:38:48 2009  memory use: 12.3 MB
Mon Nov  2 07:39:43 2009  lanczos halted after 1159 iterations (dim = 73193)
Mon Nov  2 07:39:44 2009  recovered 15 nontrivial dependencies
Mon Nov  2 07:39:45 2009  prp33 factor: 623546059778895442296480169519561
Mon Nov  2 07:39:45 2009  prp62 factor: 10989262396970049806453474363931603119465274029106206008787431
Mon Nov  2 07:39:45 2009  elapsed time 06:12:45

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 1, 2009 10:00:00 UTC 2009 年 11 月 1 日 (日) 19 時 0 分 0 秒 (日本時間)

61×10183-439

c128

name 名前Serge Batalov
date 日付November 1, 2009 22:08:32 UTC 2009 年 11 月 2 日 (月) 7 時 8 分 32 秒 (日本時間)
composite number 合成数
41268047977759770999213292620142609756545199854096016420009192494291870436940704738661317475392913064129314037527680893450875033<128>
prime factors 素因数
11030417785044302030364559806857<32>
3741295097064541878566783638460453589780064807775104741236268852291803197624791377605215812186769<97>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2321782276
Step 1 took 2544ms
Step 2 took 1980ms
********** Factor found in step 2: 11030417785044302030364559806857
Found probable prime factor of 32 digits: 11030417785044302030364559806857
Probable prime cofactor has 97 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 1, 2009 10:00:00 UTC 2009 年 11 月 1 日 (日) 19 時 0 分 0 秒 (日本時間)

61×10185-439

c168

name 名前Dmitry Domanov
date 日付August 25, 2014 12:18:47 UTC 2014 年 8 月 25 日 (月) 21 時 18 分 47 秒 (日本時間)
composite number 合成数
180016371623027355218597476695957510420974361590626365060615721076397422734388940188011028198722084566606150961111593921733451436376836355577555677820786240780251191769<168>
prime factors 素因数
52121987147734465149047906205639099115407943729991<50>
3453751122588424734557275415578288277854468864206020433565477624090055726258873368347853948353751613530969192810875359<118>
factorization results 素因数分解の結果
N=180016371623027355218597476695957510420974361590626365060615721076397422734388940188011028198722084566606150961111593921733451436376836355577555677820786240780251191769
  ( 168 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=52121987147734465149047906205639099115407943729991 (pp50)
 r2=3453751122588424734557275415578288277854468864206020433565477624090055726258873368347853948353751613530969192810875359 (pp118)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 204.46 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 180016371623027355218597476695957510420974361590626365060615721076397422734388940188011028198722084566606150961111593921733451436376836355577555677820786240780251191769
m: 10000000000000000000000000000000000000
deg: 5
c5: 61
c0: -43
skew: 0.93
# Murphy_E = 5.084e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4550000, 14150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2022823 x 2023048
Total sieving time: 199.52 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 4.22 hours.
Time per square root: 0.47 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000
total time: 204.46 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 1, 2009 10:00:00 UTC 2009 年 11 月 1 日 (日) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 18, 2010 14:24:56 UTC 2010 年 11 月 18 日 (木) 23 時 24 分 56 秒 (日本時間)
403e6110Ignacio SantosNovember 18, 2010 14:24:56 UTC 2010 年 11 月 18 日 (木) 23 時 24 分 56 秒 (日本時間)
4511e6632 / 443732Ignacio SantosNovember 18, 2010 14:24:56 UTC 2010 年 11 月 18 日 (木) 23 時 24 分 56 秒 (日本時間)
600Rich DickersonNovember 3, 2011 09:49:24 UTC 2011 年 11 月 3 日 (木) 18 時 49 分 24 秒 (日本時間)

61×10187-439

c164

name 名前Jo Yeong Uk
date 日付March 12, 2017 02:31:43 UTC 2017 年 3 月 12 日 (日) 11 時 31 分 43 秒 (日本時間)
composite number 合成数
25937838507630582869407889176727295105888686297044411229479759984317030884847534256322231206964788485348258028060211988064264881163805816555154761559423307102454857<164>
prime factors 素因数
417331893747060295730589605971251248883829<42>
4754419186520519608575433776367884628057414375972942230728623<61>
13072382173052457074365834369888206833962753168638922635244171<62>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 25937838507630582869407889176727295105888686297044411229479759984317030884847534256322231206964788485348258028060211988064264881163805816555154761559423307102454857 (164 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=830083485
Step 1 took 29638ms
Step 2 took 9788ms
********** Factor found in step 2: 417331893747060295730589605971251248883829
Found probable prime factor of 42 digits: 417331893747060295730589605971251248883829
Composite cofactor 62151584617089405350672095070844231475273988836486416856253170483279155494863977710791966614096847605883263054500843606533 has 122 digits

Number: 67773_187
N=62151584617089405350672095070844231475273988836486416856253170483279155494863977710791966614096847605883263054500843606533
  ( 122 digits)
Divisors found:
 r1=4754419186520519608575433776367884628057414375972942230728623
 r2=13072382173052457074365834369888206833962753168638922635244171
Version: 
Total time: 25.36 hours.
Scaled time: 133.14 units (timescale=5.250).
Factorization parameters were as follows:
name: 67773_187
n: 62151584617089405350672095070844231475273988836486416856253170483279155494863977710791966614096847605883263054500843606533
skew: 29895.12
# norm 3.04e+16
c5: 160140
c4: 59419985198
c3: -109598264438368
c2: -46786277134042998609
c1: 173396875494269564230928
c0: 4470053228916350009327868936
# alpha -5.52
Y1: 9182853330013
Y0: -207868677309543363835169
# Murphy_E 2.16e-10
# M 28255782098852243703498264587784809681329888202669399008107244344282414073856677658757469134594228369059255838048931380104
type: gnfs
rlim: 5600000
alim: 5600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved algebraic special-q in [2800000, 5300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17565456
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 930632 x 930880
Polynomial selection time: 3.44 hours.
Total sieving time: 19.86 hours.
Total relation processing time: 1.05 hours.
Matrix solve time: 0.89 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
gnfs,121,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5600000,5600000,28,28,54,54,2.5,2.5,100000
total time: 25.36 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GMP-ECM v6.4.4 / GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 1, 2009 10:00:00 UTC 2009 年 11 月 1 日 (日) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 18, 2010 15:30:23 UTC 2010 年 11 月 19 日 (金) 0 時 30 分 23 秒 (日本時間)
403e6110Ignacio SantosNovember 18, 2010 15:30:23 UTC 2010 年 11 月 19 日 (金) 0 時 30 分 23 秒 (日本時間)
4511e61132 / 443732Ignacio SantosNovember 18, 2010 15:30:23 UTC 2010 年 11 月 19 日 (金) 0 時 30 分 23 秒 (日本時間)
600Rich DickersonNovember 3, 2011 09:50:18 UTC 2011 年 11 月 3 日 (木) 18 時 50 分 18 秒 (日本時間)
500Dmitry DomanovJuly 23, 2014 07:22:04 UTC 2014 年 7 月 23 日 (水) 16 時 22 分 4 秒 (日本時間)

61×10190-439

c163

composite cofactor 合成数の残り
4498149331000652407409515555118401042193859945141205082535270929172206085989489510265566503812603553060595248913495916253514715044218499170306783981671331187214581<163>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 1, 2009 10:00:00 UTC 2009 年 11 月 1 日 (日) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 18, 2010 16:28:20 UTC 2010 年 11 月 19 日 (金) 1 時 28 分 20 秒 (日本時間)
403e61310110Ignacio SantosNovember 18, 2010 16:28:20 UTC 2010 年 11 月 19 日 (金) 1 時 28 分 20 秒 (日本時間)
1200Dmitry DomanovApril 16, 2013 05:57:33 UTC 2013 年 4 月 16 日 (火) 14 時 57 分 33 秒 (日本時間)
4511e61162 / 417232Ignacio SantosNovember 18, 2010 16:28:20 UTC 2010 年 11 月 19 日 (金) 1 時 28 分 20 秒 (日本時間)
130Rich DickersonNovember 3, 2011 11:20:31 UTC 2011 年 11 月 3 日 (木) 20 時 20 分 31 秒 (日本時間)
1000Dmitry DomanovApril 26, 2013 13:10:37 UTC 2013 年 4 月 26 日 (金) 22 時 10 分 37 秒 (日本時間)

61×10194-439

c163

name 名前Serge Batalov
date 日付November 2, 2009 02:12:24 UTC 2009 年 11 月 2 日 (月) 11 時 12 分 24 秒 (日本時間)
composite number 合成数
6566527347768767429847887212572071392028286258854928613179530106666022370429809133013013068574137181809503850096217875820372719099159789277240237197039397182007357<163>
prime factors 素因数
623655988907658070344904037133739<33>
composite cofactor 合成数の残り
10529085689163555069923502028408334316210581368163244809718003699545475280131011357908335141861212186917544347038254869011830606263<131>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3314643275
Step 1 took 10664ms
Step 2 took 5561ms
********** Factor found in step 2: 623655988907658070344904037133739
Found probable prime factor of 33 digits: 623655988907658070344904037133739
Composite cofactor has 131 digits

c131

name 名前Wataru Sakai
date 日付April 19, 2010 04:10:56 UTC 2010 年 4 月 19 日 (月) 13 時 10 分 56 秒 (日本時間)
composite number 合成数
10529085689163555069923502028408334316210581368163244809718003699545475280131011357908335141861212186917544347038254869011830606263<131>
prime factors 素因数
1533388425140528544538204476814817217913<40>
191510213919829097642875509345124289574493451<45>
35854736741690021686054890994240765312964699501<47>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=604525636
Step 1 took 140573ms
Step 2 took 44883ms
********** Factor found in step 2: 35854736741690021686054890994240765312964699501
Found probable prime factor of 47 digits: 35854736741690021686054890994240765312964699501
Composite cofactor 293659545320852467930133860053795388335920423320761389181874860943176020310058387763 has 84 digits
--------------------------

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=42036066
Step 1 took 74869ms
Step 2 took 31607ms
********** Factor found in step 2: 191510213919829097642875509345124289574493451
Found probable prime factor of 45 digits: 191510213919829097642875509345124289574493451
Probable prime cofactor 1533388425140528544538204476814817217913 has 40 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 1, 2009 10:00:00 UTC 2009 年 11 月 1 日 (日) 19 時 0 分 0 秒 (日本時間)

61×10195-439

c173

composite cofactor 合成数の残り
32437326253674824740822642838220976045133683718699036026845613926925893150600432944896717407824310011442472099715587660442378900250559321557934909437548066505514475928043909<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 1, 2009 10:00:00 UTC 2009 年 11 月 1 日 (日) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 20, 2010 16:30:24 UTC 2010 年 11 月 21 日 (日) 1 時 30 分 24 秒 (日本時間)
403e61310110Ignacio SantosNovember 20, 2010 16:30:24 UTC 2010 年 11 月 21 日 (日) 1 時 30 分 24 秒 (日本時間)
1200Dmitry DomanovApril 16, 2013 05:57:52 UTC 2013 年 4 月 16 日 (火) 14 時 57 分 52 秒 (日本時間)
4511e61032 / 417232Ignacio SantosNovember 20, 2010 16:30:24 UTC 2010 年 11 月 21 日 (日) 1 時 30 分 24 秒 (日本時間)
1000Dmitry DomanovApril 26, 2013 13:10:47 UTC 2013 年 4 月 26 日 (金) 22 時 10 分 47 秒 (日本時間)

61×10196-439

c173

name 名前Dmitry Domanov
date 日付April 15, 2013 05:22:12 UTC 2013 年 4 月 15 日 (月) 14 時 22 分 12 秒 (日本時間)
composite number 合成数
83240798238638040780396598473663871434792172601309335166539198543905329379915377062059936310833134790068650950974447172134410340594974980177867404667715556080588502080912853<173>
prime factors 素因数
11986345024277106896736483711529102747486393<44>
composite cofactor 合成数の残り
6944635589084277169171841782538455832459883716879300617585719020134607108133793357314086206930156483859307463620390534555989940221<130>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2303268708
Step 1 took 26999ms
Step 2 took 10140ms
********** Factor found in step 2: 11986345024277106896736483711529102747486393
Found probable prime factor of 44 digits: 11986345024277106896736483711529102747486393

c130

name 名前Cyp
date 日付January 25, 2014 13:19:13 UTC 2014 年 1 月 25 日 (土) 22 時 19 分 13 秒 (日本時間)
composite number 合成数
6944635589084277169171841782538455832459883716879300617585719020134607108133793357314086206930156483859307463620390534555989940221<130>
prime factors 素因数
330493831535061595012376584323896434096529682136347167<54>
21012905314535442979970367383736607703811985376987850531505463794858972056163<77>
factorization results 素因数分解の結果
01/24/14 18:58:55 v1.34.3, 
01/24/14 18:58:55 v1.34.3, ****************************
01/24/14 18:58:55 v1.34.3, Starting factorization of 6944635589084277169171841782538455832459883716879300617585719020134607108133793357314086206930156483859307463620390534555989940221
01/24/14 18:58:55 v1.34.3, using pretesting plan: none
01/24/14 18:58:55 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/24/14 18:58:55 v1.34.3, ****************************
01/24/14 18:58:55 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C130
01/24/14 18:58:55 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C130
01/24/14 18:58:55 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C130
01/24/14 18:58:55 v1.34.3, final ECM pretested depth: 0.00
01/24/14 18:58:55 v1.34.3, scheduler: switching to sieve method
01/24/14 18:58:55 v1.34.3, nfs: commencing nfs on c130: 6944635589084277169171841782538455832459883716879300617585719020134607108133793357314086206930156483859307463620390534555989940221
01/24/14 18:58:55 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/24/14 18:58:55 v1.34.3, nfs: commencing lattice sieving with 6 threads
01/24/14 19:15:15 v1.34.3, nfs: commencing lattice sieving with 6 threads
[60 lines snipped]
01/25/14 12:59:45 v1.34.3, nfs: commencing lattice sieving with 6 threads
01/25/14 13:18:45 v1.34.3, nfs: commencing lattice sieving with 6 threads
01/25/14 13:37:14 v1.34.3, nfs: commencing msieve filtering
01/25/14 13:42:06 v1.34.3, nfs: commencing msieve linear algebra
01/25/14 14:16:36 v1.34.3, nfs: commencing msieve sqrt
01/25/14 14:19:11 v1.34.3, prp54 = 330493831535061595012376584323896434096529682136347167
01/25/14 14:19:11 v1.34.3, prp77 = 21012905314535442979970367383736607703811985376987850531505463794858972056163
01/25/14 14:19:11 v1.34.3, NFS elapsed time = 69616.4715 seconds.
01/25/14 14:19:11 v1.34.3, 
01/25/14 14:19:11 v1.34.3, 
01/25/14 14:19:11 v1.34.3, Total factoring time = 69616.5081 seconds
--
Sat Jan 25 13:37:14 2014  
Sat Jan 25 13:37:14 2014  commencing relation filtering
Sat Jan 25 13:37:14 2014  estimated available RAM is 15988.7 MB
Sat Jan 25 13:37:14 2014  commencing duplicate removal, pass 1
Sat Jan 25 13:38:28 2014  found 3259059 hash collisions in 21329521 relations
Sat Jan 25 13:38:50 2014  added 119093 free relations
Sat Jan 25 13:38:50 2014  commencing duplicate removal, pass 2
Sat Jan 25 13:39:16 2014  found 2393115 duplicates and 19055499 unique relations
Sat Jan 25 13:39:16 2014  memory use: 82.6 MB
Sat Jan 25 13:39:16 2014  reading ideals above 720000
Sat Jan 25 13:39:17 2014  commencing singleton removal, initial pass
Sat Jan 25 13:40:57 2014  memory use: 376.5 MB
Sat Jan 25 13:40:57 2014  reading all ideals from disk
Sat Jan 25 13:40:57 2014  memory use: 580.6 MB
Sat Jan 25 13:40:58 2014  keeping 18929318 ideals with weight <= 200, target excess is 120452
Sat Jan 25 13:41:00 2014  commencing in-memory singleton removal
Sat Jan 25 13:41:00 2014  begin with 19055499 relations and 18929318 unique ideals
Sat Jan 25 13:41:10 2014  reduce to 9258480 relations and 7743988 ideals in 14 passes
Sat Jan 25 13:41:10 2014  max relations containing the same ideal: 125
Sat Jan 25 13:41:14 2014  removing 1772807 relations and 1372807 ideals in 400000 cliques
Sat Jan 25 13:41:14 2014  commencing in-memory singleton removal
Sat Jan 25 13:41:15 2014  begin with 7485673 relations and 7743988 unique ideals
Sat Jan 25 13:41:19 2014  reduce to 7229178 relations and 6101452 ideals in 8 passes
Sat Jan 25 13:41:19 2014  max relations containing the same ideal: 105
Sat Jan 25 13:41:22 2014  removing 1423336 relations and 1023336 ideals in 400000 cliques
Sat Jan 25 13:41:23 2014  commencing in-memory singleton removal
Sat Jan 25 13:41:23 2014  begin with 5805842 relations and 6101452 unique ideals
Sat Jan 25 13:41:27 2014  reduce to 5600462 relations and 4861472 ideals in 8 passes
Sat Jan 25 13:41:27 2014  max relations containing the same ideal: 91
Sat Jan 25 13:41:29 2014  removing 1331889 relations and 931889 ideals in 400000 cliques
Sat Jan 25 13:41:29 2014  commencing in-memory singleton removal
Sat Jan 25 13:41:30 2014  begin with 4268573 relations and 4861472 unique ideals
Sat Jan 25 13:41:31 2014  reduce to 4047816 relations and 3693908 ideals in 9 passes
Sat Jan 25 13:41:31 2014  max relations containing the same ideal: 70
Sat Jan 25 13:41:33 2014  removing 796402 relations and 582219 ideals in 214183 cliques
Sat Jan 25 13:41:33 2014  commencing in-memory singleton removal
Sat Jan 25 13:41:33 2014  begin with 3251414 relations and 3693908 unique ideals
Sat Jan 25 13:41:34 2014  reduce to 3143932 relations and 2998983 ideals in 9 passes
Sat Jan 25 13:41:34 2014  max relations containing the same ideal: 57
Sat Jan 25 13:41:36 2014  relations with 0 large ideals: 484
Sat Jan 25 13:41:36 2014  relations with 1 large ideals: 2330
Sat Jan 25 13:41:36 2014  relations with 2 large ideals: 33242
Sat Jan 25 13:41:36 2014  relations with 3 large ideals: 187775
Sat Jan 25 13:41:36 2014  relations with 4 large ideals: 541509
Sat Jan 25 13:41:36 2014  relations with 5 large ideals: 874981
Sat Jan 25 13:41:36 2014  relations with 6 large ideals: 841815
Sat Jan 25 13:41:36 2014  relations with 7+ large ideals: 661796
Sat Jan 25 13:41:36 2014  commencing 2-way merge
Sat Jan 25 13:41:37 2014  reduce to 1924155 relation sets and 1779206 unique ideals
Sat Jan 25 13:41:37 2014  commencing full merge
Sat Jan 25 13:41:56 2014  memory use: 221.3 MB
Sat Jan 25 13:41:57 2014  found 1011263 cycles, need 987406
Sat Jan 25 13:41:57 2014  weight of 987406 cycles is about 69398783 (70.28/cycle)
Sat Jan 25 13:41:57 2014  distribution of cycle lengths:
Sat Jan 25 13:41:57 2014  1 relations: 97817
Sat Jan 25 13:41:57 2014  2 relations: 106548
Sat Jan 25 13:41:57 2014  3 relations: 111051
Sat Jan 25 13:41:57 2014  4 relations: 108368
Sat Jan 25 13:41:57 2014  5 relations: 102689
Sat Jan 25 13:41:57 2014  6 relations: 95185
Sat Jan 25 13:41:57 2014  7 relations: 84366
Sat Jan 25 13:41:57 2014  8 relations: 70404
Sat Jan 25 13:41:57 2014  9 relations: 57805
Sat Jan 25 13:41:57 2014  10+ relations: 153173
Sat Jan 25 13:41:57 2014  heaviest cycle: 18 relations
Sat Jan 25 13:41:57 2014  commencing cycle optimization
Sat Jan 25 13:41:58 2014  start with 5638048 relations
Sat Jan 25 13:42:05 2014  pruned 155538 relations
Sat Jan 25 13:42:05 2014  memory use: 184.5 MB
Sat Jan 25 13:42:05 2014  distribution of cycle lengths:
Sat Jan 25 13:42:05 2014  1 relations: 97817
Sat Jan 25 13:42:05 2014  2 relations: 109059
Sat Jan 25 13:42:05 2014  3 relations: 115218
Sat Jan 25 13:42:05 2014  4 relations: 111636
Sat Jan 25 13:42:05 2014  5 relations: 106259
Sat Jan 25 13:42:05 2014  6 relations: 97658
Sat Jan 25 13:42:05 2014  7 relations: 86053
Sat Jan 25 13:42:05 2014  8 relations: 70834
Sat Jan 25 13:42:05 2014  9 relations: 57097
Sat Jan 25 13:42:05 2014  10+ relations: 135775
Sat Jan 25 13:42:05 2014  heaviest cycle: 17 relations
Sat Jan 25 13:42:05 2014  RelProcTime: 291
Sat Jan 25 13:42:06 2014  
Sat Jan 25 13:42:06 2014  commencing linear algebra
Sat Jan 25 13:42:06 2014  read 987406 cycles
Sat Jan 25 13:42:07 2014  cycles contain 3023422 unique relations
Sat Jan 25 13:42:33 2014  read 3023422 relations
Sat Jan 25 13:42:35 2014  using 20 quadratic characters above 268432644
Sat Jan 25 13:42:45 2014  building initial matrix
Sat Jan 25 13:43:05 2014  memory use: 400.0 MB
Sat Jan 25 13:43:06 2014  read 987406 cycles
Sat Jan 25 13:43:06 2014  matrix is 987224 x 987406 (298.4 MB) with weight 95138170 (96.35/col)
Sat Jan 25 13:43:06 2014  sparse part has weight 66371392 (67.22/col)
Sat Jan 25 13:43:11 2014  filtering completed in 2 passes
Sat Jan 25 13:43:11 2014  matrix is 986718 x 986900 (298.3 MB) with weight 95115064 (96.38/col)
Sat Jan 25 13:43:11 2014  sparse part has weight 66362949 (67.24/col)
Sat Jan 25 13:43:14 2014  matrix starts at (0, 0)
Sat Jan 25 13:43:14 2014  matrix is 986718 x 986900 (298.3 MB) with weight 95115064 (96.38/col)
Sat Jan 25 13:43:14 2014  sparse part has weight 66362949 (67.24/col)
Sat Jan 25 13:43:14 2014  saving the first 48 matrix rows for later
Sat Jan 25 13:43:15 2014  matrix includes 64 packed rows
Sat Jan 25 13:43:15 2014  matrix is 986670 x 986900 (288.0 MB) with weight 76139336 (77.15/col)
Sat Jan 25 13:43:15 2014  sparse part has weight 65618168 (66.49/col)
Sat Jan 25 13:43:15 2014  using block size 65536 for processor cache size 8192 kB
Sat Jan 25 13:43:18 2014  commencing Lanczos iteration (6 threads)
Sat Jan 25 13:43:18 2014  memory use: 260.7 MB
Sat Jan 25 13:43:24 2014  linear algebra at 0.3%, ETA 0h32m
Sat Jan 25 14:16:34 2014  lanczos halted after 15606 iterations (dim = 986668)
Sat Jan 25 14:16:36 2014  recovered 29 nontrivial dependencies
Sat Jan 25 14:16:36 2014  BLanczosTime: 2070
Sat Jan 25 14:16:36 2014  
Sat Jan 25 14:16:36 2014  commencing square root phase
Sat Jan 25 14:16:36 2014  reading relations for dependency 1
Sat Jan 25 14:16:36 2014  read 493236 cycles
Sat Jan 25 14:16:36 2014  cycles contain 1512262 unique relations
Sat Jan 25 14:16:57 2014  read 1512262 relations
Sat Jan 25 14:17:01 2014  multiplying 1512262 relations
Sat Jan 25 14:17:52 2014  multiply complete, coefficients have about 64.18 million bits
Sat Jan 25 14:17:53 2014  initial square root is modulo 1636331299
Sat Jan 25 14:19:11 2014  sqrtTime: 155
--
# Murphy_E = 8.182e-11, selected by Erik Branger
n: 6944635589084277169171841782538455832459883716879300617585719020134607108133793357314086206930156483859307463620390534555989940221
Y0: -27181929748069517928319595
Y1: 13869429531463
c0: 41042732417029163184877403749113192
c1: 62961065493826038626583759552
c2: -49723597131625817896430
c3: -10220425726549195
c4: 4604163588
c5: 468
skew: 3303502.82
type: gnfs
# selected mechanically
rlim: 9700000
alim: 9700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 1, 2009 10:00:00 UTC 2009 年 11 月 1 日 (日) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 20, 2010 16:30:57 UTC 2010 年 11 月 21 日 (日) 1 時 30 分 57 秒 (日本時間)
403e6110Ignacio SantosNovember 20, 2010 16:30:57 UTC 2010 年 11 月 21 日 (日) 1 時 30 分 57 秒 (日本時間)
4511e61732 / 443732Ignacio SantosNovember 20, 2010 16:30:57 UTC 2010 年 11 月 21 日 (日) 1 時 30 分 57 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:45:11 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 11 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:08:21 UTC 2013 年 11 月 9 日 (土) 2 時 8 分 21 秒 (日本時間)

61×10197-439

c191

name 名前Robert Backstrom
date 日付March 30, 2010 19:24:53 UTC 2010 年 3 月 31 日 (水) 4 時 24 分 53 秒 (日本時間)
composite number 合成数
80388260008895158646033451505393386737231217734409233991208449960555062222028763262069667971578981063517439448893934635936791475502395985267968400350192346043995545857832149761167138433736491<191>
prime factors 素因数
59180456815976242124264831889298708225661504569619218499<56>
4405578589399815243464484920943626418467749470907421232792334518887<67>
308326861712963352152293944812911448865887255201904635672098554389407<69>
factorization results 素因数分解の結果
Number: n
N=80388260008895158646033451505393386737231217734409233991208449960555062222028763262069667971578981063517439448893934635936791475502395985267968400350192346043995545857832149761167138433736491
  ( 191 digits)
SNFS difficulty: 198 digits.
Divisors found:

Wed Mar 31 04:41:26 2010  prp56 factor: 59180456815976242124264831889298708225661504569619218499
Wed Mar 31 04:41:26 2010  prp67 factor: 4405578589399815243464484920943626418467749470907421232792334518887
Wed Mar 31 04:41:26 2010  prp69 factor: 308326861712963352152293944812911448865887255201904635672098554389407
Wed Mar 31 04:41:26 2010  elapsed time 06:33:50 (Msieve 1.42 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.073).
Factorization parameters were as follows:
name: KA_6_7_196_3
n: 80388260008895158646033451505393386737231217734409233991208449960555062222028763262069667971578981063517439448893934635936791475502395985267968400350192346043995545857832149761167138433736491
m: 1000000000000000000000000000000000000000
deg: 5
c5: 6100
c0: -43
skew: 0.37
type: snfs
lss: 1
rlim: 14400000
alim: 14400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 19500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5427571 hash collisions in 32992287 relations
Msieve: matrix is 2101014 x 2101239 (592.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14400000,14400000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6060216k/7077888k available (3972k kernel code, 787972k absent, 229700k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.79 BogoMIPS (lpj=2798398)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44762.55 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaNovember 1, 2009 10:00:00 UTC 2009 年 11 月 1 日 (日) 19 時 0 分 0 秒 (日本時間)
786Wataru SakaiDecember 19, 2009 09:27:13 UTC 2009 年 12 月 19 日 (土) 18 時 27 分 13 秒 (日本時間)

61×10198-439

c170

composite cofactor 合成数の残り
99537909732431468748786246071458502254158964523085521962642804434751940154796195270532402626980847503237603288385072512844754351167794367033840398991724834997110756679361<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 1, 2009 10:00:00 UTC 2009 年 11 月 1 日 (日) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 20, 2010 17:37:07 UTC 2010 年 11 月 21 日 (日) 2 時 37 分 7 秒 (日本時間)
403e61310110Ignacio SantosNovember 20, 2010 17:37:07 UTC 2010 年 11 月 21 日 (日) 2 時 37 分 7 秒 (日本時間)
1200Dmitry DomanovApril 16, 2013 05:58:02 UTC 2013 年 4 月 16 日 (火) 14 時 58 分 2 秒 (日本時間)
4511e61032 / 417232Ignacio SantosNovember 20, 2010 17:37:07 UTC 2010 年 11 月 21 日 (日) 2 時 37 分 7 秒 (日本時間)
1000Dmitry DomanovApril 26, 2013 13:11:00 UTC 2013 年 4 月 26 日 (金) 22 時 11 分 0 秒 (日本時間)

61×10199-439

c191

name 名前matsui
date 日付November 16, 2011 16:08:19 UTC 2011 年 11 月 17 日 (木) 1 時 8 分 19 秒 (日本時間)
composite number 合成数
34956903189067326819554193354035181601234416365924563227902913889507541548397341435386704926935316190291620319608147528955948896211882171633581035445041442505861641864623224054196670614351463<191>
prime factors 素因数
73347041315348339492640069269629464834519114097903555326186195742706627484186421846403<86>
476595954822139094302159037904217110799307647147268327689271213445496462744347147877027642061923392659021<105>
factorization results 素因数分解の結果
N=34956903189067326819554193354035181601234416365924563227902913889507541548397341435386704926935316190291620319608147528955948896211882171633581035445041442505861641864623224054196670614351463
  ( 191 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=73347041315348339492640069269629464834519114097903555326186195742706627484186421846403 (pp86)
 r2=476595954822139094302159037904217110799307647147268327689271213445496462744347147877027642061923392659021 (pp105)
Version: Msieve v. 1.50
Total time:
Scaled time: 54.30 units (timescale=0.693).
Factorization parameters were as follows:
n: 34956903189067326819554193354035181601234416365924563227902913889507541548397341435386704926935316190291620319608147528955948896211882171633581035445041442505861641864623224054196670614351463
m: 1000000000000000000000000000000000000000
deg: 5
c5: 610000
c0: -43
skew: 0.15
type: snfs
lss: 1
rlim: 15500000
alim: 15500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 160000
Factor base limits: 15500000/15500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7750000, 17990001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3337943 x 3338172
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,200.000,5,0,0,0,0,0,0,0,0,15500000,15500000,29,29,56,56,2.6,2.6,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 1, 2009 10:00:00 UTC 2009 年 11 月 1 日 (日) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 20, 2010 19:05:07 UTC 2010 年 11 月 21 日 (日) 4 時 5 分 7 秒 (日本時間)
403e6110 / 2126Ignacio SantosNovember 20, 2010 19:05:07 UTC 2010 年 11 月 21 日 (日) 4 時 5 分 7 秒 (日本時間)
4511e632 / 4437Ignacio SantosNovember 20, 2010 19:05:07 UTC 2010 年 11 月 21 日 (日) 4 時 5 分 7 秒 (日本時間)

61×10202-439

c144

composite cofactor 合成数の残り
605535135240641962228063384410750285187757761284863226740833426125951538481360530792744575312501620033732191949045794897311077430517172055479029<144>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 16, 2013 05:58:18 UTC 2013 年 4 月 16 日 (火) 14 時 58 分 18 秒 (日本時間)
4511e61000 / 4210Dmitry DomanovApril 26, 2013 13:11:10 UTC 2013 年 4 月 26 日 (金) 22 時 11 分 10 秒 (日本時間)

61×10203-439

c204

name 名前Jo Yeong Uk
date 日付April 28, 2013 14:58:48 UTC 2013 年 4 月 28 日 (日) 23 時 58 分 48 秒 (日本時間)
composite number 合成数
677777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773<204>
prime factors 素因数
14354084695154637063914082609167932381570017242398856982103242674536506464086572440178107818195729459<101>
47218460262155785874042749170530460347650740810578714757856686982045233308478330744381042379374767514847<104>
factorization results 素因数分解の結果
Number: 67773_203
N=677777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773
  ( 204 digits)
SNFS difficulty: 206 digits.
Divisors found:
 r1=14354084695154637063914082609167932381570017242398856982103242674536506464086572440178107818195729459
 r2=47218460262155785874042749170530460347650740810578714757856686982045233308478330744381042379374767514847
Version: 
Total time: 615.66 hours.
Scaled time: 2258.26 units (timescale=3.668).
Factorization parameters were as follows:
n: 677777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773
m: 100000000000000000000000000000000000000000
deg: 5
c5: 61
c0: -4300
skew: 2.34
# Murphy_E = 7.016e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
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: 56/56
Sieved rational special-q in [11000000, 28100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 41914214
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 4173180 x 4173428
Total sieving time: 556.71 hours.
Total relation processing time: 13.74 hours.
Matrix solve time: 44.80 hours.
Time per square root: 0.41 hours.
Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,22000000,22000000,29,29,56,56,2.6,2.6,100000
total time: 615.66 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz stepping 02
Memory: 36991268k/38797312k available (5221k kernel code, 1057684k absent, 748360k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6666.81 BogoMIPS (lpj=3333406)
Total of 12 processors activated (80001.74 BogoMIPS).
x86info v1.25.  Dave Jones 2001-2009
Feedback to <davej@redhat.com>.

Found 12 CPUs
--------------------------------------------------------------------------
CPU #1
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)   Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x0 Package: 0  Core: 0   SMT ID 0
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #2
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x2 Package: 0  Core: 0   SMT ID 2
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #3
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x4 Package: 0  Core: 0   SMT ID 4
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #4
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x10        Package: 0  Core: 0   SMT ID 16
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #5
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x12        Package: 0  Core: 0   SMT ID 18
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #6
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x14        Package: 0  Core: 0   SMT ID 20
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #7
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x1 Package: 0  Core: 0   SMT ID 1
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #8
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x3 Package: 0  Core: 0   SMT ID 3
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #9
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x5 Package: 0  Core: 0   SMT ID 5
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #10
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x11        Package: 0  Core: 0   SMT ID 17
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #11
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x13        Package: 0  Core: 0   SMT ID 19
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #12
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x15        Package: 0  Core: 0   SMT ID 21
3.35GHz processor (estimate).

--------------------------------------------------------------------------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7 980

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
786Jo Yeong UkApril 11, 2013 04:16:13 UTC 2013 年 4 月 11 日 (木) 13 時 16 分 13 秒 (日本時間)
403e62104Jo Yeong UkApril 14, 2013 11:40:43 UTC 2013 年 4 月 14 日 (日) 20 時 40 分 43 秒 (日本時間)

61×10204-439

c163

composite cofactor 合成数の残り
5180886053969991182993528254926557047714059906524603385736889748134382772298702268611577808627183179924089256593771466516549488442571452028135559113671935456477261<163>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 16, 2013 05:58:29 UTC 2013 年 4 月 16 日 (火) 14 時 58 分 29 秒 (日本時間)
4511e61000 / 4210Dmitry DomanovApril 26, 2013 13:11:22 UTC 2013 年 4 月 26 日 (金) 22 時 11 分 22 秒 (日本時間)

61×10205-439

c158

composite cofactor 合成数の残り
87875046061767640225231168519938127859561203667910622757050488900266971358025549309750502614133070166781471476825475814968803002460737071517895184450975544357<158>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 16, 2013 05:58:38 UTC 2013 年 4 月 16 日 (火) 14 時 58 分 38 秒 (日本時間)
4511e61000 / 4210Dmitry DomanovApril 26, 2013 13:11:31 UTC 2013 年 4 月 26 日 (金) 22 時 11 分 31 秒 (日本時間)

61×10206-439

c206

name 名前Robert Backstrom
date 日付November 18, 2013 04:14:45 UTC 2013 年 11 月 18 日 (月) 13 時 14 分 45 秒 (日本時間)
composite number 合成数
21863799283154121863799283154121863799283154121863799283154121863799283154121863799283154121863799283154121863799283154121863799283154121863799283154121863799283154121863799283154121863799283154121863799283<206>
prime factors 素因数
256994235511247347659227923223795381299734753515877877271864250864526216619<75>
85075057188188382997699692921177535253999054086552401278393263494584987765655002697191523115816012900490533578116205037474633508057<131>
factorization results 素因数分解の結果
Number: n
N=21863799283154121863799283154121863799283154121863799283154121863799283154121863799283154121863799283154121863799283154121863799283154121863799283154121863799283154121863799283154121863799283154121863799283
  ( 206 digits)
SNFS difficulty: 207 digits.
Divisors found:

Mon Nov 18 14:57:46 2013  prp75 factor: 256994235511247347659227923223795381299734753515877877271864250864526216619
Mon Nov 18 14:57:46 2013  prp131 factor: 85075057188188382997699692921177535253999054086552401278393263494584987765655002697191523115816012900490533578116205037474633508057
Mon Nov 18 14:57:46 2013  elapsed time 16:23:25 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.696).
Factorization parameters were as follows:
#
#  61*10^206-43 - 67(205)3
#
#  c206, diff: 207.79
#
skew: 0.588
n: 21863799283154121863799283154121863799283154121863799283154121863799283154121863799283154121863799283154121863799283154121863799283154121863799283154121863799283154121863799283154121863799283154121863799283
m: 100000000000000000000000000000000000000000
deg: 5
c5: 610
c0: -43
# Murphy_E = 6.714e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 24000000)
Primes: RFBsize:1270607, AFBsize:1268151, 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7102197 hash collisions in 48052395 relations (42502634 unique)
Msieve: matrix is 3130186 x 3130411 (894.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 15hrs 15min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 41min 7sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 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 KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 16, 2013 05:58:46 UTC 2013 年 4 月 16 日 (火) 14 時 58 分 46 秒 (日本時間)
4511e61850 / 42101000Dmitry DomanovApril 26, 2013 13:11:40 UTC 2013 年 4 月 26 日 (金) 22 時 11 分 40 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:13:50 UTC 2013 年 11 月 9 日 (土) 2 時 13 分 50 秒 (日本時間)

61×10207-439

c192

composite cofactor 合成数の残り
575602601644318231436196525860697667618311687893400552138187322874120101208016251116542413902016556697454010397125453097512031254660691206844191687881864276818705800085620298904665919820076389<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 16, 2013 05:58:56 UTC 2013 年 4 月 16 日 (火) 14 時 58 分 56 秒 (日本時間)
4511e61000 / 4210Dmitry DomanovApril 26, 2013 13:11:50 UTC 2013 年 4 月 26 日 (金) 22 時 11 分 50 秒 (日本時間)

61×10210-439

c190

composite cofactor 合成数の残り
1991105296521870461817047866473986537448311865817439368818426793498156437239020933939873397813379024810502517830844459418096831536593701518326016750431658535371085181842073158998765377195169<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 16, 2013 05:59:10 UTC 2013 年 4 月 16 日 (火) 14 時 59 分 10 秒 (日本時間)
4511e61000 / 4210Dmitry DomanovApril 26, 2013 13:12:01 UTC 2013 年 4 月 26 日 (金) 22 時 12 分 1 秒 (日本時間)

61×10211-439

c192

composite cofactor 合成数の残り
620931651637643969534111458977449621714769125753518224599431023456652738739636882760668078543797962402360620252618777090697029882845493864421349615884187032181819953941768571779941402590232807<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 16, 2013 05:59:18 UTC 2013 年 4 月 16 日 (火) 14 時 59 分 18 秒 (日本時間)
4511e61000 / 4210Dmitry DomanovApril 26, 2013 13:12:10 UTC 2013 年 4 月 26 日 (金) 22 時 12 分 10 秒 (日本時間)

61×10212-439

c205

composite cofactor 合成数の残り
2501305387201198481860004572460056815216433975618653673876122187237857941654876117895243843542483645031228381558392535305619027922468555738359564303552128342363224152907271741592148053354961407529351649051<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 16, 2013 05:59:27 UTC 2013 年 4 月 16 日 (火) 14 時 59 分 27 秒 (日本時間)
4511e61000 / 4210Dmitry DomanovApril 26, 2013 13:12:19 UTC 2013 年 4 月 26 日 (金) 22 時 12 分 19 秒 (日本時間)

61×10213-439

c183

composite cofactor 合成数の残り
312177330495368128164473750353167038362503294147528963873205527304669841672528438684059882393926750738017395246539584864055768845205576512913181688264675702616439372407254125668449509<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 16, 2013 05:59:36 UTC 2013 年 4 月 16 日 (火) 14 時 59 分 36 秒 (日本時間)
4511e61000 / 4210Dmitry DomanovApril 26, 2013 13:12:28 UTC 2013 年 4 月 26 日 (金) 22 時 12 分 28 秒 (日本時間)

61×10215-439

c167

composite cofactor 合成数の残り
10065746946392381642538951871592185475858843968315756240774764329490761370195467372862585822943177464811689283212189455426343128125704339134932673953366442489423910793<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 16, 2013 05:59:44 UTC 2013 年 4 月 16 日 (火) 14 時 59 分 44 秒 (日本時間)
4511e61000 / 4210Dmitry DomanovApril 26, 2013 13:12:41 UTC 2013 年 4 月 26 日 (金) 22 時 12 分 41 秒 (日本時間)

61×10216-439

c216

name 名前Dmitry Domanov
date 日付April 29, 2013 06:12:46 UTC 2013 年 4 月 29 日 (月) 15 時 12 分 46 秒 (日本時間)
composite number 合成数
294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251<216>
prime factors 素因数
13458179556382521623627318379430601143262411<44>
21896422848542681160530253406886651169705933280580162352591363630075946122084911777147248185328790487396235064692411691843363419470990186239589362563562800234169841867731441<173>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2300679521
Step 1 took 112286ms
Step 2 took 36130ms
********** Factor found in step 2: 13458179556382521623627318379430601143262411
Found probable prime factor of 44 digits: 13458179556382521623627318379430601143262411

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 16, 2013 05:59:55 UTC 2013 年 4 月 16 日 (火) 14 時 59 分 55 秒 (日本時間)
4511e61000 / 4210Dmitry DomanovApril 26, 2013 13:12:51 UTC 2013 年 4 月 26 日 (金) 22 時 12 分 51 秒 (日本時間)

61×10217-439

c168

name 名前Dmitry Domanov
date 日付April 15, 2013 05:21:39 UTC 2013 年 4 月 15 日 (月) 14 時 21 分 39 秒 (日本時間)
composite number 合成数
712194126128719644347950424082890261709028324552585513697909080365606767261099610068845514484464707059340542476461010954386774563121787876645248632231839788651086818791<168>
prime factors 素因数
411467226266918648608221613551519048587<39>
composite cofactor 合成数の残り
1730864770422127275097473884892894557223036696737396162954794233029278123032710206135054120154555058617034491146695676270911404693<130>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1636943063
Step 1 took 26785ms
Step 2 took 10145ms
********** Factor found in step 2: 411467226266918648608221613551519048587
Found probable prime factor of 39 digits: 411467226266918648608221613551519048587

c130

name 名前Erik Branger
date 日付December 9, 2013 17:40:08 UTC 2013 年 12 月 10 日 (火) 2 時 40 分 8 秒 (日本時間)
composite number 合成数
1730864770422127275097473884892894557223036696737396162954794233029278123032710206135054120154555058617034491146695676270911404693<130>
prime factors 素因数
8646560428519503211032554466377986114125480380759<49>
200179572528413184228756436996924804222159726643838060225810954563859154019363827<81>
factorization results 素因数分解の結果
Number: 67773_217
N = 1730864770422127275097473884892894557223036696737396162954794233029278123032710206135054120154555058617034491146695676270911404693 (130 digits)
Divisors found:
r1=8646560428519503211032554466377986114125480380759 (pp49)
r2=200179572528413184228756436996924804222159726643838060225810954563859154019363827 (pp81)
Version: Msieve v. 1.51 (SVN 845)
Total time: 66.75 hours.
Factorization parameters were as follows:
# Murphy_E = 8.454e-11, selected by Erik Branger
n: 1730864770422127275097473884892894557223036696737396162954794233029278123032710206135054120154555058617034491146695676270911404693
Y0: -17053836249617569325986657
Y1: 58531811067491
c0: -5752723770422696254518418024080
c1: 27775901351601953782329924
c2: 1938790953641300094892
c3: -6436086399451901
c4: -22984008410
c5: 1200
skew: 298468.37
type: gnfs
# selected mechanically
rlim: 9300000
alim: 9300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 21245503
Relations: 1527686 relations
Pruned matrix : 1001555 x 1001783
Polynomial selection time: 0.00 hours.
Total sieving time: 65.82 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.73 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: gnfs,129,5,65,2000,1e-05,0.28,250,20,50000,3600,9300000,9300000,28,28,53,53,2.5,2.5,100000
total time: 66.75 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 KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 24, 2013 15:13:27 UTC 2013 年 4 月 25 日 (木) 0 時 13 分 27 秒 (日本時間)
4511e61700 / 4254850Serge BatalovNovember 8, 2013 01:45:08 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 8 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:08:18 UTC 2013 年 11 月 9 日 (土) 2 時 8 分 18 秒 (日本時間)

61×10219-439

c212

name 名前Dmitry Domanov
date 日付April 15, 2013 05:30:59 UTC 2013 年 4 月 15 日 (月) 14 時 30 分 59 秒 (日本時間)
composite number 合成数
31738255055929915297980302268033864741037844800949441263030374097506393095249583074184627434954440309797898455811985411639057160564576876195097815577290318451281666884955621050930868530455943962441548351563758421<212>
prime factors 素因数
57950573334016696423424774956180478213<38>
547678016453716748208438875077643651944757655066320473585405332064365034650261003828637001353484512036193926607797858206666680582451345177640925910150582112479610042505177617<174>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3065661978
Step 1 took 30448ms
Step 2 took 11100ms
********** Factor found in step 2: 57950573334016696423424774956180478213
Found probable prime factor of 38 digits: 57950573334016696423424774956180478213

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)

61×10220-439

c183

composite cofactor 合成数の残り
240892208303265630555056457584867715379064677974214551787574978079118816038315814479825094797487781871593248609292640599074485082097874915989871780429178999606564227762904389701793623<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 16, 2013 06:00:06 UTC 2013 年 4 月 16 日 (火) 15 時 0 分 6 秒 (日本時間)
4511e61000 / 4210Dmitry DomanovApril 26, 2013 13:13:03 UTC 2013 年 4 月 26 日 (金) 22 時 13 分 3 秒 (日本時間)

61×10221-439

c188

composite cofactor 合成数の残り
23256179775836253738155867120878081451987050415542003123030769577161601218095327062476243478734570052812537000670231566410031179562344729277442502818063796694279562161157384961030409350357<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 16, 2013 06:00:14 UTC 2013 年 4 月 16 日 (火) 15 時 0 分 14 秒 (日本時間)
4511e61000 / 4210Dmitry DomanovApril 26, 2013 13:13:12 UTC 2013 年 4 月 26 日 (金) 22 時 13 分 12 秒 (日本時間)

61×10222-439

c216

composite cofactor 合成数の残り
380652330638433396253915547438051001658839175507301445238928260508271079048702899414450008021467842937282118272061318922010821022210133702633488235743155251755058412379377906635455921243257438185228406905285381947703<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 16, 2013 06:00:25 UTC 2013 年 4 月 16 日 (火) 15 時 0 分 25 秒 (日本時間)
4511e61000 / 4210Dmitry DomanovApril 26, 2013 13:13:21 UTC 2013 年 4 月 26 日 (金) 22 時 13 分 21 秒 (日本時間)

61×10223-439

c204

composite cofactor 合成数の残り
196300542685077630367708876156621561350890455431749768686355486998002778490512689843360846933881316245694217658297203258841548869070679216355459849918011230351079930687264391312270842847134991235026568903<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 16, 2013 06:00:36 UTC 2013 年 4 月 16 日 (火) 15 時 0 分 36 秒 (日本時間)
4511e61000 / 4210Dmitry DomanovApril 26, 2013 13:13:30 UTC 2013 年 4 月 26 日 (金) 22 時 13 分 30 秒 (日本時間)

61×10224-439

c224

name 名前Dmitry Domanov
date 日付May 6, 2013 05:24:56 UTC 2013 年 5 月 6 日 (月) 14 時 24 分 56 秒 (日本時間)
composite number 合成数
16531165311653116531165311653116531165311653116531165311653116531165311653116531165311653116531165311653116531165311653116531165311653116531165311653116531165311653116531165311653116531165311653116531165311653116531165311653<224>
prime factors 素因数
417949168270526975280046531151227538538960049<45>
composite cofactor 合成数の残り
39553052300735645749996592983848814656834938361260123753999296457555908874527811568084043712162451694588323918799948239750659559272873664680746305790695189525413043953438075718197<179>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2428218860
Step 1 took 111938ms
Step 2 took 37185ms
********** Factor found in step 2: 417949168270526975280046531151227538538960049
Found probable prime factor of 45 digits: 417949168270526975280046531151227538538960049

c179

name 名前matsui
date 日付May 30, 2013 12:44:32 UTC 2013 年 5 月 30 日 (木) 21 時 44 分 32 秒 (日本時間)
composite number 合成数
39553052300735645749996592983848814656834938361260123753999296457555908874527811568084043712162451694588323918799948239750659559272873664680746305790695189525413043953438075718197<179>
prime factors 素因数
61623316308524751436388118064756831055824125536071<50>
641852056496089881962955688189286610285540186517292579041652186542592103462625299346204592887108606826378300202185990710245996707<129>
factorization results 素因数分解の結果
N=16531165311653116531165311653116531165311653116531165311653116531165311653116531165311653116531165311653116531165311653116531165311653116531165311653116531165311653116531165311653116531165311653116531165311653116531165311653
  ( 224 digits)
SNFS difficulty: 225 digits.
Divisors found:
 r1=417949168270526975280046531151227538538960049 (pp45)
 r2=61623316308524751436388118064756831055824125536071 (pp50)
 r3=641852056496089881962955688189286610285540186517292579041652186542592103462625299346204592887108606826378300202185990710245996707 (pp129)
Version: Msieve v. 1.52 (SVN Unversioned directory)
Total time:
Scaled time: 418.15 units (timescale=1.918).
Factorization parameters were as follows:
n: 16531165311653116531165311653116531165311653116531165311653116531165311653116531165311653116531165311653116531165311653116531165311653116531165311653116531165311653116531165311653116531165311653116531165311653116531165311653
m: 10000000000000000000000000000000000000
deg: 6
c6: 6100
c0: -43
skew: 0.44
# Murphy_E = 1.322e-12
type: snfs
lss: 1
rlim: 41000000
alim: 41000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
qintsize: 800000
Factor base limits: 41000000/41000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved rational special-q in [20500000, 79700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 7092115 x 7092342
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,225.000,6,0,0,0,0,0,0,0,0,41000000,41000000,30,30,59,59,2.7,2.7,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 16, 2013 06:00:44 UTC 2013 年 4 月 16 日 (火) 15 時 0 分 44 秒 (日本時間)
4511e61000 / 4210Dmitry DomanovApril 26, 2013 13:13:39 UTC 2013 年 4 月 26 日 (金) 22 時 13 分 39 秒 (日本時間)

61×10227-439

c219

composite cofactor 合成数の残り
229630593568668951433326227294153400148083582399681530946318065563291145077049855417807951091712585624482095276617055452374417505658489420982756746721631220213091817475835280076663199095255672147858099311076308170359021<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 16, 2013 06:00:53 UTC 2013 年 4 月 16 日 (火) 15 時 0 分 53 秒 (日本時間)
4511e61000 / 4210Dmitry DomanovApril 26, 2013 13:13:50 UTC 2013 年 4 月 26 日 (金) 22 時 13 分 50 秒 (日本時間)

61×10228-439

c209

name 名前Warut Roonguthai
date 日付April 8, 2013 02:56:06 UTC 2013 年 4 月 8 日 (月) 11 時 56 分 6 秒 (日本時間)
composite number 合成数
14696313775098452204895878628320040974770914498965114383618473201564860592637449001405203816374224829240919157467812088960615640580927967048014584104780908344568912043719814392968119385722301120423498611380243<209>
prime factors 素因数
31094564019495864452897612472807514729<38>
472632893835850709168695392663904612306392412900827355195192411438582270192262169366104028125844192907575886935817936029454152348566322590165928515620131849654869811664667<171>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=146521236
Step 1 took 10733ms
Step 2 took 6630ms
********** Factor found in step 2: 31094564019495864452897612472807514729
Found probable prime factor of 38 digits: 31094564019495864452897612472807514729
Probable prime cofactor 472632893835850709168695392663904612306392412900827355195192411438582270192262169366104028125844192907575886935817936029454152348566322590165928515620131849654869811664667 has 171 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)

61×10230-439

c155

name 名前Ignacio Santos
date 日付January 7, 2016 14:08:34 UTC 2016 年 1 月 7 日 (木) 23 時 8 分 34 秒 (日本時間)
composite number 合成数
28890870815336084731065603177444958084715923847202001979031740033112200159708174991464205847773068423053249817798161256567719145166267758707239320879103049<155>
prime factors 素因数
4912497678658595137123849749586862962864781<43>
5881096074782271572456067125260426860732281059908245971291657736480061372628311017662203050529794724789071552429<112>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:614323472
Step 1 took 43297ms
Step 2 took 18562ms
********** Factor found in step 2: 4912497678658595137123849749586862962864781
Found prime factor of 43 digits: 4912497678658595137123849749586862962864781
Prime cofactor 5881096074782271572456067125260426860732281059908245971291657736480061372628311017662203050529794724789071552429 has 112 digits
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 16, 2013 06:01:04 UTC 2013 年 4 月 16 日 (火) 15 時 1 分 4 秒 (日本時間)
4511e63150 / 42101000Dmitry DomanovApril 26, 2013 13:14:02 UTC 2013 年 4 月 26 日 (金) 22 時 14 分 2 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:57 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 57 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:53 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 53 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:46 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 46 秒 (日本時間)

61×10231-439

c202

composite cofactor 合成数の残り
4203786436060109791226834666449045025951421753809630166168109890287732921150759825765140621585355531594355872009711241913466393524533297182127760062992009697816793768326559606773758339382694390900098343<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 16, 2013 06:01:13 UTC 2013 年 4 月 16 日 (火) 15 時 1 分 13 秒 (日本時間)
4511e61000 / 4210Dmitry DomanovApril 26, 2013 13:14:16 UTC 2013 年 4 月 26 日 (金) 22 時 14 分 16 秒 (日本時間)

61×10232-439

c209

composite cofactor 合成数の残り
28155236662700668269813196913833625260569991011969298814315695083935916865698068561724409930338737815456505206545925277032325035103697167495896893704612236115846297654690472504057735713161844417424837292584497<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 16, 2013 06:01:22 UTC 2013 年 4 月 16 日 (火) 15 時 1 分 22 秒 (日本時間)
4511e61000 / 4210Dmitry DomanovApril 26, 2013 13:14:25 UTC 2013 年 4 月 26 日 (金) 22 時 14 分 25 秒 (日本時間)

61×10235-439

c234

composite cofactor 合成数の残り
119537526944934352341759749167156574563981971389378796786204193611601019008426415833823241230648638056045463452870860278267685675093082500489907897315304722712130119537526944934352341759749167156574563981971389378796786204193611601019<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 16, 2013 06:01:32 UTC 2013 年 4 月 16 日 (火) 15 時 1 分 32 秒 (日本時間)
4511e639501000Dmitry DomanovApril 26, 2013 13:14:34 UTC 2013 年 4 月 26 日 (金) 22 時 14 分 34 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:16:58 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 58 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:34 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 34 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:26 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 26 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:15 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 15 秒 (日本時間)
5043e674 / 6621KTakahashiSeptember 15, 2014 17:58:46 UTC 2014 年 9 月 16 日 (火) 2 時 58 分 46 秒 (日本時間)

61×10236-439

c215

name 名前Warut Roonguthai
date 日付April 8, 2013 02:57:20 UTC 2013 年 4 月 8 日 (月) 11 時 57 分 20 秒 (日本時間)
composite number 合成数
91411906698587797551603996355649737478822621688196566524821507889153994996206334221701243247617988013237828302010880745806287511049309507007946631013630190979414493177027544004645335015511425516609856661919520050867<215>
prime factors 素因数
14829727074978076289015083949357<32>
composite cofactor 合成数の残り
6164099058358627107629480367404965150556707160029799875050518063687552379901690994005450595159529887229475032452342720470773800245319583309951642347352853049002290268717766811391854431<184>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3379804128
Step 1 took 16349ms
Step 2 took 9563ms
********** Factor found in step 2: 14829727074978076289015083949357
Found probable prime factor of 32 digits: 14829727074978076289015083949357
Composite cofactor 6164099058358627107629480367404965150556707160029799875050518063687552379901690994005450595159529887229475032452342720470773800245319583309951642347352853049002290268717766811391854431 has 184 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 16, 2013 06:01:41 UTC 2013 年 4 月 16 日 (火) 15 時 1 分 41 秒 (日本時間)
4511e61000 / 4210Dmitry DomanovApril 26, 2013 13:14:45 UTC 2013 年 4 月 26 日 (金) 22 時 14 分 45 秒 (日本時間)

61×10237-439

c215

name 名前Warut Roonguthai
date 日付April 8, 2013 04:35:20 UTC 2013 年 4 月 8 日 (月) 13 時 35 分 20 秒 (日本時間)
composite number 合成数
14741091018431420647410020448338814269756375153894107391333749537579868041925263021176365443012848856208860722211847330678985169131804355842406806303686977925778794351289987556412279715620210835567153710152522007629<215>
prime factors 素因数
20880738867030378731061906177329231<35>
composite cofactor 合成数の残り
705965967598342567651511449221349747571603532494490899510696056652261411906520113965144113570182735683262964503871892028373325818076071561170034308136418968336006123619728578193059<180>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1225330930
Step 1 took 12745ms
********** Factor found in step 1: 20880738867030378731061906177329231
Found probable prime factor of 35 digits: 20880738867030378731061906177329231
Composite cofactor 705965967598342567651511449221349747571603532494490899510696056652261411906520113965144113570182735683262964503871892028373325818076071561170034308136418968336006123619728578193059 has 180 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 16, 2013 06:01:53 UTC 2013 年 4 月 16 日 (火) 15 時 1 分 53 秒 (日本時間)
4511e61000 / 4210Dmitry DomanovApril 26, 2013 13:14:58 UTC 2013 年 4 月 26 日 (金) 22 時 14 分 58 秒 (日本時間)

61×10238-439

c233

composite cofactor 合成数の残り
21336894985784206269430347227884369559638317943310808218146455537740997168244250222734447615946523724860809115345400431781801776258031198528020082705302816536597304618489846628649916364618433181432130292734853716521581027540789584741<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 16, 2013 06:02:03 UTC 2013 年 4 月 16 日 (火) 15 時 2 分 3 秒 (日本時間)
4511e61000 / 4210Dmitry DomanovApril 26, 2013 13:15:08 UTC 2013 年 4 月 26 日 (金) 22 時 15 分 8 秒 (日本時間)

61×10239-439

c203

composite cofactor 合成数の残り
10448773835305001506191055528467793289135623392939302371296035348431947844559898482066724990170636940297080380128540009537796150797035538793910259599173567215431084774151628047855162112764532004264788181<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 16, 2013 06:02:18 UTC 2013 年 4 月 16 日 (火) 15 時 2 分 18 秒 (日本時間)
4511e61000 / 4210Dmitry DomanovApril 26, 2013 13:15:17 UTC 2013 年 4 月 26 日 (金) 22 時 15 分 17 秒 (日本時間)

61×10240-439

c236

composite cofactor 合成数の残り
11194297588106003758714806550609327639289635566889323080824847229952710515647884653957652155737270202633302521488004759595118772414975180774142567270846764196525620352187283167832066450818587598957131896169036095737303234986841194941719<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 16, 2013 06:02:27 UTC 2013 年 4 月 16 日 (火) 15 時 2 分 27 秒 (日本時間)
4511e630501000Dmitry DomanovApril 26, 2013 13:15:27 UTC 2013 年 4 月 26 日 (金) 22 時 15 分 27 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:17:30 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 30 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:30:00 UTC 2014 年 1 月 6 日 (月) 11 時 30 分 0 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:27 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 27 秒 (日本時間)
5043e6500 / 6823Dmitry DomanovMay 24, 2013 15:49:47 UTC 2013 年 5 月 25 日 (土) 0 時 49 分 47 秒 (日本時間)

61×10241-439

c183

composite cofactor 合成数の残り
392353266574094793980840794124858411293180922342974779915406742217288361577819858003779978917308333711445994648681860197714389839830365985775933506509521372877134971042319720195421703<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 16, 2013 06:02:48 UTC 2013 年 4 月 16 日 (火) 15 時 2 分 48 秒 (日本時間)
4511e61000 / 4210Dmitry DomanovApril 26, 2013 13:15:36 UTC 2013 年 4 月 26 日 (金) 22 時 15 分 36 秒 (日本時間)

61×10242-439

c225

composite cofactor 合成数の残り
730088409887270787133025114883648721026182873717121692400901197074212432361300912182893071564872071699693853701995891101991738041144616556164461582472321647618824835455696846513895923476949990421932136356838854060281338105949<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 16, 2013 06:02:56 UTC 2013 年 4 月 16 日 (火) 15 時 2 分 56 秒 (日本時間)
4511e61000 / 4210Dmitry DomanovApril 26, 2013 13:15:46 UTC 2013 年 4 月 26 日 (金) 22 時 15 分 46 秒 (日本時間)

61×10243-439

c222

name 名前Warut Roonguthai
date 日付April 8, 2013 04:36:24 UTC 2013 年 4 月 8 日 (月) 13 時 36 分 24 秒 (日本時間)
composite number 合成数
195575807123188194760758113964669445148650293937264023307688255905520503713184035325659778354726521375669155421840088799432874654247374534132233900932240906675978199712691116680153992488255279282804334208337256049664086641<222>
prime factors 素因数
141638356260444018623101173710183<33>
1380811047846137217947763433219293127582062593629368476813972762618452128820096145484169893158796312073505552513752043289548481864453721178572351775400527382953522592386636621361019405709927<190>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3502889640
Step 1 took 17300ms
Step 2 took 9766ms
********** Factor found in step 2: 141638356260444018623101173710183
Found probable prime factor of 33 digits: 141638356260444018623101173710183
Probable prime cofactor 1380811047846137217947763433219293127582062593629368476813972762618452128820096145484169893158796312073505552513752043289548481864453721178572351775400527382953522592386636621361019405709927 has 190 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)

61×10244-439

c237

composite cofactor 合成数の残り
375218557043684039926189785766362930504835463996224139983950868926428791990738705487624973052925813231800323604107449143459597287260131072810313984567790975672245365118463907487411692673978297261472835916930540808466706107303956022067371<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 16, 2013 06:03:06 UTC 2013 年 4 月 16 日 (火) 15 時 3 分 6 秒 (日本時間)
4511e61000 / 4210Dmitry DomanovApril 26, 2013 13:15:56 UTC 2013 年 4 月 26 日 (金) 22 時 15 分 56 秒 (日本時間)

61×10245-439

c240

composite cofactor 合成数の残り
237547626838847417356888556010673443238442402547351711964857281969928729091768581413471466110073105866293163912808182511034963466927392711127560310713853594568742213743719055770769811248160514903562867816700929991170627306037397551257812737<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 16, 2013 06:03:16 UTC 2013 年 4 月 16 日 (火) 15 時 3 分 16 秒 (日本時間)
4511e61000 / 4210Dmitry DomanovApril 26, 2013 13:16:05 UTC 2013 年 4 月 26 日 (金) 22 時 16 分 5 秒 (日本時間)

61×10248-439

c246

name 名前Warut Roonguthai
date 日付April 8, 2013 05:51:09 UTC 2013 年 4 月 8 日 (月) 14 時 51 分 9 秒 (日本時間)
composite number 合成数
715710430599554147600610113809691423207790684031444327114865657632289100082130705150768508741053619617505573154992373577378857209902616449606945911064179279596386248973366185615393640736829754781180335562595330282764284876217294379913176111697759<246>
prime factors 素因数
58765325883232743390464272982179<32>
12179128080080378034621262972148592947528299581236641710916611100088865570114381210530198966857526762502214085053314646901072379149460957446397656640637677299406606059469201595692525687521201777189985535920287168021<215>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1023954254
Step 1 took 16193ms
Step 2 took 8783ms
********** Factor found in step 2: 58765325883232743390464272982179
Found probable prime factor of 32 digits: 58765325883232743390464272982179
Probable prime cofactor 12179128080080378034621262972148592947528299581236641710916611100088865570114381210530198966857526762502214085053314646901072379149460957446397656640637677299406606059469201595692525687521201777189985535920287168021 has 215 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)

61×10250-439

c248

name 名前Dmitry Domanov
date 日付April 9, 2013 19:58:12 UTC 2013 年 4 月 10 日 (水) 4 時 58 分 12 秒 (日本時間)
composite number 合成数
81561706110442572536435352319828854124883005749431742211525605027410081561706110442572536435352319828854124883005749431742211525605027410081561706110442572536435352319828854124883005749431742211525605027410081561706110442572536435352319828854124883<248>
prime factors 素因数
103598691253192827450225472804653275726654101<45>
composite cofactor 合成数の残り
787285101035761463392954187614444300908924086824651382172287421241094419482339556442463778466027124166231018839562728829446512850982928411083646917451209057009655588522684642159356286047541462781040384583<204>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1431294942
Step 1 took 112801ms
Step 2 took 32698ms
********** Factor found in step 2: 103598691253192827450225472804653275726654101
Found probable prime factor of 45 digits: 103598691253192827450225472804653275726654101

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2013 12:00:00 UTC 2013 年 4 月 7 日 (日) 21 時 0 分 0 秒 (日本時間)
403e62400Dmitry DomanovApril 8, 2013 21:33:28 UTC 2013 年 4 月 9 日 (火) 6 時 33 分 28 秒 (日本時間)
4511e62000Dmitry DomanovApril 17, 2013 07:47:57 UTC 2013 年 4 月 17 日 (水) 16 時 47 分 57 秒 (日本時間)
5043e6500 / 6941Dmitry DomanovMay 2, 2013 19:49:32 UTC 2013 年 5 月 3 日 (金) 4 時 49 分 32 秒 (日本時間)
5511e730 / 17447Dmitry DomanovMay 6, 2013 11:08:55 UTC 2013 年 5 月 6 日 (月) 20 時 8 分 55 秒 (日本時間)