Table of contents 目次

37×10102+539

c90

name 名前Sinkiti Sibata
date 日付December 14, 2008 01:45:55 UTC 2008 年 12 月 14 日 (日) 10 時 45 分 55 秒 (日本時間)
composite number 合成数
654818767727904256865639176292309801451437776014272230779785284420421232481315337991338587<90>
prime factors 素因数
7516248271660755869850274614285353<34>
87120428179153067595948563227353363024319865790575626979<56>
factorization results 素因数分解の結果
un Dec 14 09:26:56 2008  Msieve v. 1.39
Sun Dec 14 09:26:56 2008  random seeds: 2832f164 98fb12c3
Sun Dec 14 09:26:56 2008  factoring 654818767727904256865639176292309801451437776014272230779785284420421232481315337991338587 (90 digits)
Sun Dec 14 09:26:57 2008  searching for 15-digit factors
Sun Dec 14 09:26:59 2008  commencing quadratic sieve (90-digit input)
Sun Dec 14 09:26:59 2008  using multiplier of 3
Sun Dec 14 09:26:59 2008  using 32kb Intel Core sieve core
Sun Dec 14 09:26:59 2008  sieve interval: 36 blocks of size 32768
Sun Dec 14 09:26:59 2008  processing polynomials in batches of 6
Sun Dec 14 09:26:59 2008  using a sieve bound of 1613867 (61176 primes)
Sun Dec 14 09:26:59 2008  using large prime bound of 135564828 (27 bits)
Sun Dec 14 09:26:59 2008  using double large prime bound of 434374788405180 (42-49 bits)
Sun Dec 14 09:26:59 2008  using trial factoring cutoff of 49 bits
Sun Dec 14 09:26:59 2008  polynomial 'A' values have 12 factors
Sun Dec 14 10:29:25 2008  61573 relations (17144 full + 44429 combined from 653984 partial), need 61272
Sun Dec 14 10:29:26 2008  begin with 671128 relations
Sun Dec 14 10:29:26 2008  reduce to 146946 relations in 11 passes
Sun Dec 14 10:29:26 2008  attempting to read 146946 relations
Sun Dec 14 10:29:28 2008  recovered 146946 relations
Sun Dec 14 10:29:28 2008  recovered 120493 polynomials
Sun Dec 14 10:29:28 2008  attempting to build 61573 cycles
Sun Dec 14 10:29:29 2008  found 61573 cycles in 5 passes
Sun Dec 14 10:29:29 2008  distribution of cycle lengths:
Sun Dec 14 10:29:29 2008     length 1 : 17144
Sun Dec 14 10:29:29 2008     length 2 : 12393
Sun Dec 14 10:29:29 2008     length 3 : 10791
Sun Dec 14 10:29:29 2008     length 4 : 8064
Sun Dec 14 10:29:29 2008     length 5 : 5463
Sun Dec 14 10:29:29 2008     length 6 : 3441
Sun Dec 14 10:29:29 2008     length 7 : 1974
Sun Dec 14 10:29:29 2008     length 9+: 2303
Sun Dec 14 10:29:29 2008  largest cycle: 18 relations
Sun Dec 14 10:29:29 2008  matrix is 61176 x 61573 (14.7 MB) with weight 3596232 (58.41/col)
Sun Dec 14 10:29:29 2008  sparse part has weight 3596232 (58.41/col)
Sun Dec 14 10:29:30 2008  filtering completed in 3 passes
Sun Dec 14 10:29:30 2008  matrix is 56580 x 56644 (13.5 MB) with weight 3322339 (58.65/col)
Sun Dec 14 10:29:30 2008  sparse part has weight 3322339 (58.65/col)
Sun Dec 14 10:29:30 2008  saving the first 48 matrix rows for later
Sun Dec 14 10:29:30 2008  matrix is 56532 x 56644 (8.3 MB) with weight 2561002 (45.21/col)
Sun Dec 14 10:29:30 2008  sparse part has weight 1840625 (32.49/col)
Sun Dec 14 10:29:30 2008  matrix includes 64 packed rows
Sun Dec 14 10:29:30 2008  using block size 22657 for processor cache size 1024 kB
Sun Dec 14 10:29:30 2008  commencing Lanczos iteration
Sun Dec 14 10:29:30 2008  memory use: 8.3 MB
Sun Dec 14 10:29:48 2008  lanczos halted after 895 iterations (dim = 56529)
Sun Dec 14 10:29:48 2008  recovered 16 nontrivial dependencies
Sun Dec 14 10:29:49 2008  prp34 factor: 7516248271660755869850274614285353
Sun Dec 14 10:29:49 2008  prp56 factor: 87120428179153067595948563227353363024319865790575626979
Sun Dec 14 10:29:49 2008  elapsed time 01:02:53

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10103+539

c86

name 名前Sinkiti Sibata
date 日付December 13, 2008 22:57:46 UTC 2008 年 12 月 14 日 (日) 7 時 57 分 46 秒 (日本時間)
composite number 合成数
58974379084699647746013481661671328339377519785913665155065638330419588046029182450067<86>
prime factors 素因数
35314393767842084307850317582733171637<38>
1669981352997280313025282068382464491328210820391<49>
factorization results 素因数分解の結果
Sun Dec 14 06:13:22 2008  Msieve v. 1.39
Sun Dec 14 06:13:22 2008  random seeds: 1925d00c b04ad9d7
Sun Dec 14 06:13:22 2008  factoring 58974379084699647746013481661671328339377519785913665155065638330419588046029182450067 (86 digits)
Sun Dec 14 06:13:22 2008  searching for 15-digit factors
Sun Dec 14 06:13:24 2008  commencing quadratic sieve (86-digit input)
Sun Dec 14 06:13:24 2008  using multiplier of 23
Sun Dec 14 06:13:24 2008  using 32kb Intel Core sieve core
Sun Dec 14 06:13:24 2008  sieve interval: 16 blocks of size 32768
Sun Dec 14 06:13:24 2008  processing polynomials in batches of 13
Sun Dec 14 06:13:24 2008  using a sieve bound of 1452827 (55667 primes)
Sun Dec 14 06:13:24 2008  using large prime bound of 116226160 (26 bits)
Sun Dec 14 06:13:24 2008  using double large prime bound of 329266038078320 (41-49 bits)
Sun Dec 14 06:13:24 2008  using trial factoring cutoff of 49 bits
Sun Dec 14 06:13:24 2008  polynomial 'A' values have 11 factors
Sun Dec 14 06:55:41 2008  55968 relations (15882 full + 40086 combined from 584002 partial), need 55763
Sun Dec 14 06:55:41 2008  begin with 599884 relations
Sun Dec 14 06:55:42 2008  reduce to 133031 relations in 9 passes
Sun Dec 14 06:55:42 2008  attempting to read 133031 relations
Sun Dec 14 06:55:43 2008  recovered 133031 relations
Sun Dec 14 06:55:43 2008  recovered 113790 polynomials
Sun Dec 14 06:55:44 2008  attempting to build 55968 cycles
Sun Dec 14 06:55:44 2008  found 55968 cycles in 5 passes
Sun Dec 14 06:55:44 2008  distribution of cycle lengths:
Sun Dec 14 06:55:44 2008     length 1 : 15882
Sun Dec 14 06:55:44 2008     length 2 : 10993
Sun Dec 14 06:55:44 2008     length 3 : 9934
Sun Dec 14 06:55:44 2008     length 4 : 7402
Sun Dec 14 06:55:44 2008     length 5 : 4990
Sun Dec 14 06:55:44 2008     length 6 : 3014
Sun Dec 14 06:55:44 2008     length 7 : 1771
Sun Dec 14 06:55:44 2008     length 9+: 1982
Sun Dec 14 06:55:44 2008  largest cycle: 18 relations
Sun Dec 14 06:55:44 2008  matrix is 55667 x 55968 (12.8 MB) with weight 3143787 (56.17/col)
Sun Dec 14 06:55:44 2008  sparse part has weight 3143787 (56.17/col)
Sun Dec 14 06:55:44 2008  filtering completed in 3 passes
Sun Dec 14 06:55:44 2008  matrix is 51132 x 51196 (11.9 MB) with weight 2902891 (56.70/col)
Sun Dec 14 06:55:44 2008  sparse part has weight 2902891 (56.70/col)
Sun Dec 14 06:55:44 2008  saving the first 48 matrix rows for later
Sun Dec 14 06:55:45 2008  matrix is 51084 x 51196 (7.8 MB) with weight 2292166 (44.77/col)
Sun Dec 14 06:55:45 2008  sparse part has weight 1727978 (33.75/col)
Sun Dec 14 06:55:45 2008  matrix includes 64 packed rows
Sun Dec 14 06:55:45 2008  using block size 20478 for processor cache size 1024 kB
Sun Dec 14 06:55:45 2008  commencing Lanczos iteration
Sun Dec 14 06:55:45 2008  memory use: 7.5 MB
Sun Dec 14 06:56:00 2008  lanczos halted after 809 iterations (dim = 51081)
Sun Dec 14 06:56:00 2008  recovered 15 nontrivial dependencies
Sun Dec 14 06:56:01 2008  prp38 factor: 35314393767842084307850317582733171637
Sun Dec 14 06:56:01 2008  prp49 factor: 1669981352997280313025282068382464491328210820391
Sun Dec 14 06:56:01 2008  elapsed time 00:42:39

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10104+539

c99

name 名前Serge Batalov
date 日付December 14, 2008 00:51:55 UTC 2008 年 12 月 14 日 (日) 9 時 51 分 55 秒 (日本時間)
composite number 合成数
106295109525762645146331162528641145440696794895053832870935242692275859021773001852321561322323803<99>
prime factors 素因数
22837832423823428406549535979434663<35>
4654343177283332444580397105529579718882636552190002130060404781<64>
factorization results 素因数分解の結果
SNFS difficulty: 105 digits.
Divisors found:
 r1=22837832423823428406549535979434663 (pp35)
 r2=4654343177283332444580397105529579718882636552190002130060404781 (pp64)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
n: 106295109525762645146331162528641145440696794895053832870935242692275859021773001852321561322323803
m: 100000000000000000000000000
deg: 4
c4: 37
c0: 53
skew: 1.09
type: snfs
lss: 1
rlim: 400000
alim: 400000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 400000/400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [200000, 250001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 42219 x 42456
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,105,4,0,0,0,0,0,0,0,0,400000,400000,25,25,45,45,2.2,2.2,50000
total time: 0.50 hours.
software ソフトウェア
Msieve-1.39
execution environment 実行環境
Opteron-2.2GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10105+539

c95

name 名前Sinkiti Sibata
date 日付December 14, 2008 05:15:53 UTC 2008 年 12 月 14 日 (日) 14 時 15 分 53 秒 (日本時間)
composite number 合成数
67282049847742334963616862975582700215581962408551703345462075578114834596968610334356334267223<95>
prime factors 素因数
204636041354677447482853109425426041565256449<45>
328788855581546082125121238993357453012048109411927<51>
factorization results 素因数分解の結果
Sun Dec 14 08:15:04 2008  Msieve v. 1.39
Sun Dec 14 08:15:04 2008  random seeds: 868f8b33 3eb24c1e
Sun Dec 14 08:15:04 2008  factoring 67282049847742334963616862975582700215581962408551703345462075578114834596968610334356334267223 (95 digits)
Sun Dec 14 08:15:05 2008  searching for 15-digit factors
Sun Dec 14 08:15:06 2008  commencing quadratic sieve (95-digit input)
Sun Dec 14 08:15:06 2008  using multiplier of 3
Sun Dec 14 08:15:06 2008  using 32kb Intel Core sieve core
Sun Dec 14 08:15:06 2008  sieve interval: 36 blocks of size 32768
Sun Dec 14 08:15:06 2008  processing polynomials in batches of 6
Sun Dec 14 08:15:06 2008  using a sieve bound of 2196599 (80826 primes)
Sun Dec 14 08:15:06 2008  using large prime bound of 329489850 (28 bits)
Sun Dec 14 08:15:06 2008  using double large prime bound of 2148402323041500 (43-51 bits)
Sun Dec 14 08:15:06 2008  using trial factoring cutoff of 51 bits
Sun Dec 14 08:15:06 2008  polynomial 'A' values have 12 factors
Sun Dec 14 13:22:18 2008  81008 relations (19048 full + 61960 combined from 1237185 partial), need 80922
Sun Dec 14 13:22:23 2008  begin with 1256233 relations
Sun Dec 14 13:22:23 2008  reduce to 215120 relations in 13 passes
Sun Dec 14 13:22:23 2008  attempting to read 215120 relations
Sun Dec 14 13:22:29 2008  recovered 215120 relations
Sun Dec 14 13:22:29 2008  recovered 202169 polynomials
Sun Dec 14 13:22:29 2008  attempting to build 81008 cycles
Sun Dec 14 13:22:29 2008  found 81008 cycles in 6 passes
Sun Dec 14 13:22:29 2008  distribution of cycle lengths:
Sun Dec 14 13:22:29 2008     length 1 : 19048
Sun Dec 14 13:22:29 2008     length 2 : 13883
Sun Dec 14 13:22:29 2008     length 3 : 13540
Sun Dec 14 13:22:29 2008     length 4 : 11060
Sun Dec 14 13:22:29 2008     length 5 : 8465
Sun Dec 14 13:22:29 2008     length 6 : 5764
Sun Dec 14 13:22:29 2008     length 7 : 3725
Sun Dec 14 13:22:29 2008     length 9+: 5523
Sun Dec 14 13:22:29 2008  largest cycle: 20 relations
Sun Dec 14 13:22:30 2008  matrix is 80826 x 81008 (22.2 MB) with weight 5506807 (67.98/col)
Sun Dec 14 13:22:30 2008  sparse part has weight 5506807 (67.98/col)
Sun Dec 14 13:22:30 2008  filtering completed in 3 passes
Sun Dec 14 13:22:30 2008  matrix is 77469 x 77533 (21.4 MB) with weight 5302804 (68.39/col)
Sun Dec 14 13:22:30 2008  sparse part has weight 5302804 (68.39/col)
Sun Dec 14 13:22:31 2008  saving the first 48 matrix rows for later
Sun Dec 14 13:22:31 2008  matrix is 77421 x 77533 (14.7 MB) with weight 4320453 (55.72/col)
Sun Dec 14 13:22:31 2008  sparse part has weight 3383624 (43.64/col)
Sun Dec 14 13:22:31 2008  matrix includes 64 packed rows
Sun Dec 14 13:22:31 2008  using block size 31013 for processor cache size 2048 kB
Sun Dec 14 13:22:31 2008  commencing Lanczos iteration
Sun Dec 14 13:22:31 2008  memory use: 13.5 MB
Sun Dec 14 13:23:10 2008  lanczos halted after 1226 iterations (dim = 77418)
Sun Dec 14 13:23:10 2008  recovered 15 nontrivial dependencies
Sun Dec 14 13:23:11 2008  prp45 factor: 204636041354677447482853109425426041565256449
Sun Dec 14 13:23:11 2008  prp51 factor: 328788855581546082125121238993357453012048109411927
Sun Dec 14 13:23:11 2008  elapsed time 05:08:07

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10109+539

c108

name 名前Serge Batalov
date 日付December 14, 2008 01:18:29 UTC 2008 年 12 月 14 日 (日) 10 時 18 分 29 秒 (日本時間)
composite number 合成数
272259013980868285504047093451066961000735835172921265636497424576894775570272259013980868285504047093451067<108>
prime factors 素因数
345934149021961984853714355585332061497<39>
787025550240151752957429692905459301021394747512814523416460876641811<69>
factorization results 素因数分解の結果
SNFS difficulty: 111 digits.
Divisors found:
 r1=345934149021961984853714355585332061497 (pp39)
 r2=787025550240151752957429692905459301021394747512814523416460876641811 (pp69)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
n: 272259013980868285504047093451066961000735835172921265636497424576894775570272259013980868285504047093451067
m: 10000000000000000000000
deg: 5
c5: 37
c0: 530
skew: 1.70
type: snfs
lss: 1
rlim: 510000
alim: 510000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 510000/510000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [255000, 405001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 63238 x 63485
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,111,5,0,0,0,0,0,0,0,0,510000,510000,25,25,44,44,2.2,2.2,50000
total time: 0.50 hours.
software ソフトウェア
Msieve-1.39
execution environment 実行環境
Opteron-2.2GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10112+539

c96

name 名前Serge Batalov
date 日付December 14, 2008 05:09:41 UTC 2008 年 12 月 14 日 (日) 14 時 9 分 41 秒 (日本時間)
composite number 合成数
606533024695898574009227118833783263053547057691046747729156244319271051590022715738503294809621<96>
prime factors 素因数
1809172218365498113906379744251961009<37>
335254443186106734337422576507034330357097141008436045500069<60>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1919125461
Step 1 took 6853ms
Step 2 took 4585ms
********** Factor found in step 2: 1809172218365498113906379744251961009
Found probable prime factor of 37 digits: 1809172218365498113906379744251961009
Probable prime cofactor 335254443186106734337422576507034330357097141008436045500069 has 60 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
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10114+539

c115

name 名前Sinkiti Sibata
date 日付December 14, 2008 07:50:40 UTC 2008 年 12 月 14 日 (日) 16 時 50 分 40 秒 (日本時間)
composite number 合成数
4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117<115>
prime factors 素因数
337537008280418766192929438347918809616735002757194727<54>
12179734400251853325768968702888321780028003904068045443286571<62>
factorization results 素因数分解の結果
Number: 41117_114
N=4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117
  ( 115 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=337537008280418766192929438347918809616735002757194727 (prp54)
 r2=12179734400251853325768968702888321780028003904068045443286571 (prp62)
Version: 
Total time: 1.79 hours.
Scaled time: 3.50 units (timescale=1.960).
Factorization parameters were as follows:
name: 41117_114
n: 4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117
m: 100000000000000000000000
deg: 5
c5: 37
c0: 530
skew: 1.70
type: snfs
lss: 1
rlim: 610000
alim: 610000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 610000/610000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [305000, 555001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 79057 x 79305
Total sieving time: 1.79 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,610000,610000,25,25,45,45,2.2,2.2,50000
total time: 1.79 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
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10121+539

c97

name 名前Sinkiti Sibata
date 日付December 14, 2008 15:44:39 UTC 2008 年 12 月 15 日 (月) 0 時 44 分 39 秒 (日本時間)
composite number 合成数
8275280781677460242495252428407518810499554171453232349711921873570895749085623666102478562668393<97>
prime factors 素因数
581119780975231635970058042786794126786889<42>
14240232483206706578295465829097659023799330370860981537<56>
factorization results 素因数分解の結果
Sun Dec 14 17:44:52 2008  Msieve v. 1.39
Sun Dec 14 17:44:52 2008  random seeds: 558fa890 5a21134c
Sun Dec 14 17:44:52 2008  factoring 8275280781677460242495252428407518810499554171453232349711921873570895749085623666102478562668393 (97 digits)
Sun Dec 14 17:44:53 2008  searching for 15-digit factors
Sun Dec 14 17:44:55 2008  commencing quadratic sieve (97-digit input)
Sun Dec 14 17:44:55 2008  using multiplier of 1
Sun Dec 14 17:44:55 2008  using 32kb Intel Core sieve core
Sun Dec 14 17:44:55 2008  sieve interval: 36 blocks of size 32768
Sun Dec 14 17:44:55 2008  processing polynomials in batches of 6
Sun Dec 14 17:44:55 2008  using a sieve bound of 2404009 (88075 primes)
Sun Dec 14 17:44:55 2008  using large prime bound of 360601350 (28 bits)
Sun Dec 14 17:44:55 2008  using double large prime bound of 2527255810204800 (43-52 bits)
Sun Dec 14 17:44:55 2008  using trial factoring cutoff of 52 bits
Sun Dec 14 17:44:55 2008  polynomial 'A' values have 13 factors
Mon Dec 15 00:37:14 2008  88421 relations (20973 full + 67448 combined from 1337165 partial), need 88171
Mon Dec 15 00:37:16 2008  begin with 1358138 relations
Mon Dec 15 00:37:17 2008  reduce to 233452 relations in 11 passes
Mon Dec 15 00:37:17 2008  attempting to read 233452 relations
Mon Dec 15 00:37:21 2008  recovered 233452 relations
Mon Dec 15 00:37:21 2008  recovered 221954 polynomials
Mon Dec 15 00:37:21 2008  attempting to build 88421 cycles
Mon Dec 15 00:37:21 2008  found 88421 cycles in 7 passes
Mon Dec 15 00:37:21 2008  distribution of cycle lengths:
Mon Dec 15 00:37:21 2008     length 1 : 20973
Mon Dec 15 00:37:21 2008     length 2 : 15237
Mon Dec 15 00:37:21 2008     length 3 : 14842
Mon Dec 15 00:37:21 2008     length 4 : 12145
Mon Dec 15 00:37:21 2008     length 5 : 9070
Mon Dec 15 00:37:21 2008     length 6 : 6180
Mon Dec 15 00:37:21 2008     length 7 : 4123
Mon Dec 15 00:37:21 2008     length 9+: 5851
Mon Dec 15 00:37:21 2008  largest cycle: 21 relations
Mon Dec 15 00:37:22 2008  matrix is 88075 x 88421 (23.7 MB) with weight 5862504 (66.30/col)
Mon Dec 15 00:37:22 2008  sparse part has weight 5862504 (66.30/col)
Mon Dec 15 00:37:23 2008  filtering completed in 3 passes
Mon Dec 15 00:37:23 2008  matrix is 84357 x 84421 (22.7 MB) with weight 5613631 (66.50/col)
Mon Dec 15 00:37:23 2008  sparse part has weight 5613631 (66.50/col)
Mon Dec 15 00:37:23 2008  saving the first 48 matrix rows for later
Mon Dec 15 00:37:23 2008  matrix is 84309 x 84421 (13.9 MB) with weight 4399038 (52.11/col)
Mon Dec 15 00:37:23 2008  sparse part has weight 3132727 (37.11/col)
Mon Dec 15 00:37:23 2008  matrix includes 64 packed rows
Mon Dec 15 00:37:23 2008  using block size 33768 for processor cache size 1024 kB
Mon Dec 15 00:37:24 2008  commencing Lanczos iteration
Mon Dec 15 00:37:24 2008  memory use: 13.6 MB
Mon Dec 15 00:38:11 2008  lanczos halted after 1334 iterations (dim = 84309)
Mon Dec 15 00:38:11 2008  recovered 17 nontrivial dependencies
Mon Dec 15 00:38:12 2008  prp42 factor: 581119780975231635970058042786794126786889
Mon Dec 15 00:38:12 2008  prp56 factor: 14240232483206706578295465829097659023799330370860981537
Mon Dec 15 00:38:12 2008  elapsed time 06:53:20

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10124+539

c101

name 名前Robert Backstrom
date 日付December 14, 2008 11:33:36 UTC 2008 年 12 月 14 日 (日) 20 時 33 分 36 秒 (日本時間)
composite number 合成数
23691943327258839247481664570054627580787232775552733193324809100671477449073888934217058100029844017<101>
prime factors 素因数
195169974164679173582454440992292441<36>
121391333009391162020765580291934643735513437889339216293015715737<66>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 23691943327258839247481664570054627580787232775552733193324809100671477449073888934217058100029844017 (101 digits)
Using B1=1752000, B2=2140281790, polynomial Dickson(6), sigma=1759735969
Step 1 took 16760ms
Step 2 took 5941ms
********** Factor found in step 2: 195169974164679173582454440992292441
Found probable prime factor of 36 digits: 195169974164679173582454440992292441
Probable prime cofactor 121391333009391162020765580291934643735513437889339216293015715737 has 66 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10126+539

c120

name 名前Sinkiti Sibata
date 日付December 14, 2008 15:26:55 UTC 2008 年 12 月 15 日 (月) 0 時 26 分 55 秒 (日本時間)
composite number 合成数
175463772921917449710505877754228168319589943628658828092920435587014218289519483874355248289087131653347377643408568927<120>
prime factors 素因数
2385657431444900902593170998853579105307250401833124431<55>
73549442015086715345246777178084396489992122857979924708529445617<65>
factorization results 素因数分解の結果
Number: 41117_126
N=175463772921917449710505877754228168319589943628658828092920435587014218289519483874355248289087131653347377643408568927
  ( 120 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=2385657431444900902593170998853579105307250401833124431 (prp55)
 r2=73549442015086715345246777178084396489992122857979924708529445617 (prp65)
Version: 
Total time: 4.07 hours.
Scaled time: 7.96 units (timescale=1.955).
Factorization parameters were as follows:
name: 41117_126
n: 175463772921917449710505877754228168319589943628658828092920435587014218289519483874355248289087131653347377643408568927
m: 10000000000000000000000000
deg: 5
c5: 370
c0: 53
skew: 0.68
type: snfs
lss: 1
rlim: 940000
alim: 940000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 940000/940000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [470000, 970001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 156346 x 156594
Total sieving time: 4.07 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,127,5,0,0,0,0,0,0,0,0,940000,940000,26,26,46,46,2.3,2.3,50000
total time: 4.07 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
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10129+539

c130

name 名前Sinkiti Sibata
date 日付December 14, 2008 12:31:49 UTC 2008 年 12 月 14 日 (日) 21 時 31 分 49 秒 (日本時間)
composite number 合成数
4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117<130>
prime factors 素因数
145844390655749562788875940659676939529907563875789<51>
28188338904407774606901579652067711359624010893822103546405700927331945019978753<80>
factorization results 素因数分解の結果
Number: 41117_129
N=4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117
  ( 130 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=145844390655749562788875940659676939529907563875789 (prp51)
 r2=28188338904407774606901579652067711359624010893822103546405700927331945019978753 (prp80)
Version: 
Total time: 3.90 hours.
Scaled time: 10.05 units (timescale=2.575).
Factorization parameters were as follows:
name: 41117_129
n: 4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117
m: 100000000000000000000000000
deg: 5
c5: 37
c0: 530
skew: 1.70
type: snfs
lss: 1
rlim: 1090000
alim: 1090000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1090000/1090000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [545000, 1145001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 168454 x 168702
Total sieving time: 3.90 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1090000,1090000,26,26,47,47,2.3,2.3,50000
total time: 3.90 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
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10131+539

c111

name 名前Robert Backstrom
date 日付December 14, 2008 19:16:44 UTC 2008 年 12 月 15 日 (月) 4 時 16 分 44 秒 (日本時間)
composite number 合成数
215278536561205887322108876493270186092609401846280407032882268561731174025745829832628911912346191386897980147<111>
prime factors 素因数
7972700383759441503881272449579513196474094885429<49>
27001959963243168853430820841180310949496723141495794009982343<62>
factorization results 素因数分解の結果
Number: n
N=215278536561205887322108876493270186092609401846280407032882268561731174025745829832628911912346191386897980147
  ( 111 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=7972700383759441503881272449579513196474094885429 (pp49)
 r2=27001959963243168853430820841180310949496723141495794009982343 (pp62)
Version: GGNFS-0.77.1-20051202-k8
Total time: 4.34 hours.
Scaled time: 8.72 units (timescale=2.010).
Factorization parameters were as follows:
name: KA_4_1_130_7
n: 215278536561205887322108876493270186092609401846280407032882268561731174025745829832628911912346191386897980147
type: snfs
skew: 0.68
deg: 5
c5: 370
c0: 53
m: 100000000000000000000000000
rlim: 900000
alim: 900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [100000, 750001)
Primes: RFBsize:71274, AFBsize:70980, largePrimes:7870308 encountered
Relations: rels:7124914, finalFF:201480
Max relations in full relation-set: 28
Initial matrix: 142321 x 201480 with sparse part having weight 21993173.
Pruned matrix : 129753 x 130528 with weight 11883302.
Total sieving time: 4.11 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,132,5,0,0,0,0,0,0,0,0,900000,900000,28,28,56,56,2.5,2.5,50000
total time: 4.34 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 3321556k/3407296k available (2912k kernel code, 84428k reserved, 1794k data, 1544k init, 2502088k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.98 BogoMIPS (lpj=2830490)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830462)
Total of 4 processors activated (22643.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10133+539

c115

name 名前Serge Batalov
date 日付December 13, 2008 23:54:03 UTC 2008 年 12 月 14 日 (日) 8 時 54 分 3 秒 (日本時間)
composite number 合成数
4729935422500116718064396636980444964561669604357575301759814799561788866631089047160305436659907770586955635915817<115>
prime factors 素因数
13869327544356415887390661584931<32>
341035670790310249149005077592957449976141974679492733387937361436382697840615082307<84>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3785622199
Step 1 took 6436ms
Step 2 took 4048ms
********** Factor found in step 2: 13869327544356415887390661584931
Found probable prime factor of 32 digits: 13869327544356415887390661584931
Probable prime cofactor 341035670790310249149005077592957449976141974679492733387937361436382697840615082307 has 84 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
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10134+539

c112

name 名前Robert Backstrom
date 日付December 14, 2008 19:19:52 UTC 2008 年 12 月 15 日 (月) 4 時 19 分 52 秒 (日本時間)
composite number 合成数
1828111751046823473729867845947611785538650552102639379539486366668748152605479610053566238562881946543093275407<112>
prime factors 素因数
26997291767926798159853751308242719224871556251223<50>
67714634740461212531416188452742326805525020387462321160332809<62>
factorization results 素因数分解の結果
Number: n
N=1828111751046823473729867845947611785538650552102639379539486366668748152605479610053566238562881946543093275407
  ( 112 digits)
SNFS difficulty: 136 digits.
Divisors found:

Mon Dec 15 05:57:05 2008  prp50 factor: 26997291767926798159853751308242719224871556251223
Mon Dec 15 05:57:05 2008  prp62 factor: 67714634740461212531416188452742326805525020387462321160332809
Mon Dec 15 05:57:05 2008  elapsed time 00:12:49 (Msieve 1.39 - dependency 4)

Version: GGNFS-0.77.1-20050930-k8
Total time: 4.50 hours.
Scaled time: 9.05 units (timescale=2.012).
Factorization parameters were as follows:
name: KA_4_1_133_7
n: 1828111751046823473729867845947611785538650552102639379539486366668748152605479610053566238562881946543093275407
type: snfs
skew: 1.70
deg: 5
c5: 37
c0: 530
m: 1000000000000000000000000000
rlim: 1000000
alim: 1000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 800001)
Primes: RFBsize:78498, AFBsize:78716, largePrimes:7741734 encountered
Relations: rels:6703606, finalFF:108763
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 4.37 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1000000,1000000,28,28,56,56,2.5,2.5,75000
total time: 4.50 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 3321556k/3407296k available (2912k kernel code, 84428k reserved, 1794k data, 1544k init, 2502088k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.98 BogoMIPS (lpj=2830490)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830462)
Total of 4 processors activated (22643.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10137+539

c115

name 名前Sinkiti Sibata
date 日付December 15, 2008 00:48:03 UTC 2008 年 12 月 15 日 (月) 9 時 48 分 3 秒 (日本時間)
composite number 合成数
2431593164795021863019909687564068078352019780269255567935109822583356900993305863658209861643608160856750225261561<115>
prime factors 素因数
19452637518709047440619598197258467357591<41>
125000692705880011030652701485196569731361764165251859204813732182028498671<75>
factorization results 素因数分解の結果
Number: 41117_137
N=2431593164795021863019909687564068078352019780269255567935109822583356900993305863658209861643608160856750225261561
  ( 115 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=19452637518709047440619598197258467357591 (prp41)
 r2=125000692705880011030652701485196569731361764165251859204813732182028498671
 (prp75)
Version: 
Total time: 8.30 hours.
Scaled time: 16.37 units (timescale=1.972).
Factorization parameters were as follows:
name: 41117_137
n: 2431593164795021863019909687564068078352019780269255567935109822583356900993305863658209861643608160856750225261561
m: 2000000000000000000000000000
deg: 5
c5: 925
c0: 424
skew: 0.86
type: snfs
lss: 1
rlim: 1480000
alim: 1480000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1480000/1480000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [740000, 1640001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 247956 x 248204
Total sieving time: 8.30 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,139,5,0,0,0,0,0,0,0,0,1480000,1480000,26,26,48,48,2.3,2.3,75000
total time: 8.30 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
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10141+539

c140

name 名前Sinkiti Sibata
date 日付December 15, 2008 10:22:45 UTC 2008 年 12 月 15 日 (月) 19 時 22 分 45 秒 (日本時間)
composite number 合成数
95607235142118863049095607235142118863049095607235142118863049095607235142118863049095607235142118863049095607235142118863049095607235142119<140>
prime factors 素因数
2344853697342225768244701403474970076911147<43>
40773219775069496196274797925205475166939330156666714576604063888238857689344930254975648637575477<98>
factorization results 素因数分解の結果
Number: 41117_141
N=95607235142118863049095607235142118863049095607235142118863049095607235142118863049095607235142118863049095607235142118863049095607235142119
  ( 140 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=2344853697342225768244701403474970076911147 (prp43)
 r2=40773219775069496196274797925205475166939330156666714576604063888238857689344930254975648637575477 (prp98)
Version: 
Total time: 10.54 hours.
Scaled time: 26.09 units (timescale=2.475).
Factorization parameters were as follows:
name: 41117_141
n: 95607235142118863049095607235142118863049095607235142118863049095607235142118863049095607235142118863049095607235142118863049095607235142119
m: 10000000000000000000000000000
deg: 5
c5: 370
c0: 53
skew: 0.68
type: snfs
lss: 1
rlim: 1660000
alim: 1660000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1660000/1660000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [830000, 2330001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 306636 x 306884
Total sieving time: 10.54 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,1660000,1660000,26,26,48,48,2.3,2.3,100000
total time: 10.54 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
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10142+539

c94

name 名前Robert Backstrom
date 日付December 14, 2008 10:20:01 UTC 2008 年 12 月 14 日 (日) 19 時 20 分 1 秒 (日本時間)
composite number 合成数
1854765310835194710428440106540308919972924293904205223172756617211856527940960640436712351419<94>
prime factors 素因数
16862793440103708198532263801272697174262183<44>
109991581016708918525866831687260181943473154034893<51>
factorization results 素因数分解の結果
Sun Dec 14 18:57:25 2008  
Sun Dec 14 18:57:25 2008  
Sun Dec 14 18:57:25 2008  Msieve v. 1.39
Sun Dec 14 18:57:25 2008  random seeds: 0a9bc040 124024ef
Sun Dec 14 18:57:25 2008  factoring 1854765310835194710428440106540308919972924293904205223172756617211856527940960640436712351419 (94 digits)
Sun Dec 14 18:57:26 2008  searching for 15-digit factors
Sun Dec 14 18:57:26 2008  commencing quadratic sieve (94-digit input)
Sun Dec 14 18:57:27 2008  using multiplier of 11
Sun Dec 14 18:57:27 2008  using 64kb Opteron sieve core
Sun Dec 14 18:57:27 2008  sieve interval: 18 blocks of size 65536
Sun Dec 14 18:57:27 2008  processing polynomials in batches of 6
Sun Dec 14 18:57:27 2008  using a sieve bound of 1991609 (73982 primes)
Sun Dec 14 18:57:27 2008  using large prime bound of 256917561 (27 bits)
Sun Dec 14 18:57:27 2008  using double large prime bound of 1372868018887893 (42-51 bits)
Sun Dec 14 18:57:27 2008  using trial factoring cutoff of 51 bits
Sun Dec 14 18:57:27 2008  polynomial 'A' values have 12 factors
Sun Dec 14 21:16:14 2008  74176 relations (17786 full + 56390 combined from 1040543 partial), need 74078
Sun Dec 14 21:16:16 2008  begin with 1058329 relations
Sun Dec 14 21:16:17 2008  reduce to 194080 relations in 12 passes
Sun Dec 14 21:16:17 2008  attempting to read 194080 relations
Sun Dec 14 21:16:20 2008  recovered 194080 relations
Sun Dec 14 21:16:20 2008  recovered 179104 polynomials
Sun Dec 14 21:16:20 2008  attempting to build 74176 cycles
Sun Dec 14 21:16:20 2008  found 74176 cycles in 5 passes
Sun Dec 14 21:16:21 2008  distribution of cycle lengths:
Sun Dec 14 21:16:21 2008     length 1 : 17786
Sun Dec 14 21:16:21 2008     length 2 : 12925
Sun Dec 14 21:16:21 2008     length 3 : 12410
Sun Dec 14 21:16:21 2008     length 4 : 10031
Sun Dec 14 21:16:21 2008     length 5 : 7751
Sun Dec 14 21:16:21 2008     length 6 : 5177
Sun Dec 14 21:16:21 2008     length 7 : 3373
Sun Dec 14 21:16:21 2008     length 9+: 4723
Sun Dec 14 21:16:21 2008  largest cycle: 20 relations
Sun Dec 14 21:16:21 2008  matrix is 73982 x 74176 (19.3 MB) with weight 4766529 (64.26/col)
Sun Dec 14 21:16:21 2008  sparse part has weight 4766529 (64.26/col)
Sun Dec 14 21:16:22 2008  filtering completed in 3 passes
Sun Dec 14 21:16:22 2008  matrix is 70626 x 70690 (18.5 MB) with weight 4567849 (64.62/col)
Sun Dec 14 21:16:22 2008  sparse part has weight 4567849 (64.62/col)
Sun Dec 14 21:16:22 2008  saving the first 48 matrix rows for later
Sun Dec 14 21:16:22 2008  matrix is 70578 x 70690 (11.4 MB) with weight 3550378 (50.22/col)
Sun Dec 14 21:16:22 2008  sparse part has weight 2567736 (36.32/col)
Sun Dec 14 21:16:22 2008  matrix includes 64 packed rows
Sun Dec 14 21:16:22 2008  using block size 28276 for processor cache size 1024 kB
Sun Dec 14 21:16:23 2008  commencing Lanczos iteration
Sun Dec 14 21:16:23 2008  memory use: 11.2 MB
Sun Dec 14 21:16:55 2008  lanczos halted after 1117 iterations (dim = 70576)
Sun Dec 14 21:16:55 2008  recovered 17 nontrivial dependencies
Sun Dec 14 21:16:56 2008  prp44 factor: 16862793440103708198532263801272697174262183
Sun Dec 14 21:16:56 2008  prp51 factor: 109991581016708918525866831687260181943473154034893
Sun Dec 14 21:16:56 2008  elapsed time 02:19:31

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10143+539

c100

name 名前Sinkiti Sibata
date 日付December 15, 2008 04:18:33 UTC 2008 年 12 月 15 日 (月) 13 時 18 分 33 秒 (日本時間)
composite number 合成数
1300633843951373418973286402129012722051843503962648717536449548299399464906466570381194546601331891<100>
prime factors 素因数
418741748016711844962144967395757153592003<42>
3106052477718236853520927156215139113532043711670312169297<58>
factorization results 素因数分解の結果
Mon Dec 15 00:48:04 2008  Msieve v. 1.39
Mon Dec 15 00:48:04 2008  random seeds: dc2fd100 c9e6d64e
Mon Dec 15 00:48:04 2008  factoring 1300633843951373418973286402129012722051843503962648717536449548299399464906466570381194546601331891 (100 digits)
Mon Dec 15 00:48:05 2008  searching for 15-digit factors
Mon Dec 15 00:48:06 2008  commencing quadratic sieve (100-digit input)
Mon Dec 15 00:48:06 2008  using multiplier of 59
Mon Dec 15 00:48:06 2008  using 32kb Intel Core sieve core
Mon Dec 15 00:48:06 2008  sieve interval: 36 blocks of size 32768
Mon Dec 15 00:48:06 2008  processing polynomials in batches of 6
Mon Dec 15 00:48:06 2008  using a sieve bound of 2671787 (97647 primes)
Mon Dec 15 00:48:06 2008  using large prime bound of 400768050 (28 bits)
Mon Dec 15 00:48:06 2008  using double large prime bound of 3056381387395500 (43-52 bits)
Mon Dec 15 00:48:06 2008  using trial factoring cutoff of 52 bits
Mon Dec 15 00:48:06 2008  polynomial 'A' values have 13 factors
Mon Dec 15 12:57:16 2008  97874 relations (23045 full + 74829 combined from 1471490 partial), need 97743
Mon Dec 15 12:57:18 2008  begin with 1494535 relations
Mon Dec 15 12:57:20 2008  reduce to 259594 relations in 11 passes
Mon Dec 15 12:57:20 2008  attempting to read 259594 relations
Mon Dec 15 12:57:25 2008  recovered 259594 relations
Mon Dec 15 12:57:25 2008  recovered 251345 polynomials
Mon Dec 15 12:57:25 2008  attempting to build 97874 cycles
Mon Dec 15 12:57:25 2008  found 97874 cycles in 6 passes
Mon Dec 15 12:57:25 2008  distribution of cycle lengths:
Mon Dec 15 12:57:25 2008     length 1 : 23045
Mon Dec 15 12:57:25 2008     length 2 : 16691
Mon Dec 15 12:57:25 2008     length 3 : 16220
Mon Dec 15 12:57:25 2008     length 4 : 13422
Mon Dec 15 12:57:25 2008     length 5 : 10290
Mon Dec 15 12:57:25 2008     length 6 : 7121
Mon Dec 15 12:57:25 2008     length 7 : 4546
Mon Dec 15 12:57:25 2008     length 9+: 6539
Mon Dec 15 12:57:25 2008  largest cycle: 23 relations
Mon Dec 15 12:57:25 2008  matrix is 97647 x 97874 (27.4 MB) with weight 6794219 (69.42/col)
Mon Dec 15 12:57:25 2008  sparse part has weight 6794219 (69.42/col)
Mon Dec 15 12:57:27 2008  filtering completed in 3 passes
Mon Dec 15 12:57:27 2008  matrix is 93927 x 93990 (26.4 MB) with weight 6556190 (69.75/col)
Mon Dec 15 12:57:27 2008  sparse part has weight 6556190 (69.75/col)
Mon Dec 15 12:57:27 2008  saving the first 48 matrix rows for later
Mon Dec 15 12:57:27 2008  matrix is 93879 x 93990 (16.5 MB) with weight 5222311 (55.56/col)
Mon Dec 15 12:57:27 2008  sparse part has weight 3768024 (40.09/col)
Mon Dec 15 12:57:27 2008  matrix includes 64 packed rows
Mon Dec 15 12:57:27 2008  using block size 37596 for processor cache size 1024 kB
Mon Dec 15 12:57:28 2008  commencing Lanczos iteration
Mon Dec 15 12:57:28 2008  memory use: 15.9 MB
Mon Dec 15 12:58:34 2008  lanczos halted after 1485 iterations (dim = 93877)
Mon Dec 15 12:58:34 2008  recovered 16 nontrivial dependencies
Mon Dec 15 12:58:35 2008  prp42 factor: 418741748016711844962144967395757153592003
Mon Dec 15 12:58:35 2008  prp58 factor: 3106052477718236853520927156215139113532043711670312169297
Mon Dec 15 12:58:35 2008  elapsed time 12:10:31

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10145+539

c126

name 名前Sinkiti Sibata
date 日付December 15, 2008 13:29:36 UTC 2008 年 12 月 15 日 (月) 22 時 29 分 36 秒 (日本時間)
composite number 合成数
635837554310788391204818689459763367605246338531582846149485015459484002376721164224273149663384689094348905037164216690545223<126>
prime factors 素因数
38350460235070243587880442271327734428299906979443252142693<59>
16579659029211224705104833603108275078319308270761472069498739409211<68>
factorization results 素因数分解の結果
Number: 41117_145
N=635837554310788391204818689459763367605246338531582846149485015459484002376721164224273149663384689094348905037164216690545223
  ( 126 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=38350460235070243587880442271327734428299906979443252142693 (prp59)
 r2=16579659029211224705104833603108275078319308270761472069498739409211 (prp68)
Version: 
Total time: 11.28 hours.
Scaled time: 22.53 units (timescale=1.997).
Factorization parameters were as follows:
name: 41117_145
n: 635837554310788391204818689459763367605246338531582846149485015459484002376721164224273149663384689094348905037164216690545223
m: 100000000000000000000000000000
deg: 5
c5: 37
c0: 53
skew: 1.07
type: snfs
lss: 1
rlim: 1940000
alim: 1940000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1940000/1940000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [970000, 2070001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 307574 x 307822
Total sieving time: 11.28 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1940000,1940000,26,26,49,49,2.3,2.3,100000
total time: 11.28 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10148+539

c128

name 名前Sinkiti Sibata
date 日付December 16, 2008 03:50:54 UTC 2008 年 12 月 16 日 (火) 12 時 50 分 54 秒 (日本時間)
composite number 合成数
16899853584033955114950120383965912952947644853307839909495057609897055375198928097686899001618067828768496519047079737942880209<128>
prime factors 素因数
244860118170382215335072280041384558599<39>
446917873259314622190911021433246558748781<42>
154431953041875888316954780441581808091078491811<48>
factorization results 素因数分解の結果
Number: 41117_148
N=16899853584033955114950120383965912952947644853307839909495057609897055375198928097686899001618067828768496519047079737942880209
  ( 128 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=244860118170382215335072280041384558599 (prp39)
 r2=446917873259314622190911021433246558748781 (prp42)
 r3=154431953041875888316954780441581808091078491811 (prp48)
Version: 
Total time: 14.74 hours.
Scaled time: 37.79 units (timescale=2.564).
Factorization parameters were as follows:
name: 41117_148
n: 16899853584033955114950120383965912952947644853307839909495057609897055375198928097686899001618067828768496519047079737942880209
m: 500000000000000000000000000000
deg: 5
c5: 296
c0: 1325
skew: 1.35
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 405122 x 405370
Total sieving time: 14.74 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 14.74 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
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10150+539

c136

name 名前Sinkiti Sibata
date 日付December 16, 2008 10:51:08 UTC 2008 年 12 月 16 日 (火) 19 時 51 分 8 秒 (日本時間)
composite number 合成数
2104324282611188159960451123666380806055558797064658637231912660210061374031014998130279654083126691286869690704509007375842722395502771<136>
prime factors 素因数
15528730282738141460510651909659560854080390256835141132996522651323<68>
135511677020391780462271499218014916556072164255270934647592478198377<69>
factorization results 素因数分解の結果
Number: 41117_150
N=2104324282611188159960451123666380806055558797064658637231912660210061374031014998130279654083126691286869690704509007375842722395502771
  ( 136 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=15528730282738141460510651909659560854080390256835141132996522651323 (prp68)
 r2=135511677020391780462271499218014916556072164255270934647592478198377 (prp69)
Version: 
Total time: 19.54 hours.
Scaled time: 39.28 units (timescale=2.010).
Factorization parameters were as follows:
name: 41117_150
n: 2104324282611188159960451123666380806055558797064658637231912660210061374031014998130279654083126691286869690704509007375842722395502771
m: 1000000000000000000000000000000
deg: 5
c5: 37
c0: 53
skew: 1.07
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 1900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 350594 x 350842
Total sieving time: 19.54 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 19.54 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
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10151+539

c130

name 名前Sinkiti Sibata
date 日付December 16, 2008 21:23:22 UTC 2008 年 12 月 17 日 (水) 6 時 23 分 22 秒 (日本時間)
composite number 合成数
7788438064632821574690358496362360897296483820042841122084535900504402571465752730134408241556280290071228582891922842992630821129<130>
prime factors 素因数
30714188652462505796370832052921572228561<41>
253577854611776783427342074390532895866761571131753872950109269776119129811679765690447289<90>
factorization results 素因数分解の結果
Number: 41117_151
N=7788438064632821574690358496362360897296483820042841122084535900504402571465752730134408241556280290071228582891922842992630821129
  ( 130 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=30714188652462505796370832052921572228561 (prp41)
 r2=253577854611776783427342074390532895866761571131753872950109269776119129811679765690447289 (prp90)
Version: 
Total time: 28.65 hours.
Scaled time: 56.71 units (timescale=1.979).
Factorization parameters were as follows:
name: 41117_151
n: 7788438064632821574690358496362360897296483820042841122084535900504402571465752730134408241556280290071228582891922842992630821129
m: 1000000000000000000000000000000
deg: 5
c5: 370
c0: 53
skew: 0.68
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 2300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 499116 x 499364
Total sieving time: 28.65 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 28.65 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
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10153+539

c129

name 名前Sinkiti Sibata
date 日付December 17, 2008 22:23:05 UTC 2008 年 12 月 18 日 (木) 7 時 23 分 5 秒 (日本時間)
composite number 合成数
536851505297330833256720241859282105348047475598159487710492234018066473949983864532710775744234875425075826135015294154924331631<129>
prime factors 素因数
8719756215598888403735903369151727<34>
61567260829717922876129222772484051350518977065235325715293890266317345837386780159662510836353<95>
factorization results 素因数分解の結果
Number: 41117_153
N=536851505297330833256720241859282105348047475598159487710492234018066473949983864532710775744234875425075826135015294154924331631
  ( 129 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=8719756215598888403735903369151727 (pp34)
 r2=61567260829717922876129222772484051350518977065235325715293890266317345837386780159662510836353 (pp95)
Version: GGNFS-0.77.1-20060513-k8
Total time: 38.61 hours.
Scaled time: 75.95 units (timescale=1.967).
Factorization parameters were as follows:
name: 41117_153
n: 536851505297330833256720241859282105348047475598159487710492234018066473949983864532710775744234875425075826135015294154924331631
m: 5000000000000000000000000000000
deg: 5
c5: 296
c0: 1325
skew: 1.35
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2500001)
Primes: RFBsize:203362, AFBsize:203817, largePrimes:8308051 encountered
Relations: rels:8752937, finalFF:805926
Max relations in full relation-set: 28
Initial matrix: 407246 x 805926 with sparse part having weight 93645918.
Pruned matrix : 300178 x 302278 with weight 40667714.
Total sieving time: 36.68 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 1.51 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 38.61 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10155+539

c140

name 名前Erik Branger
date 日付December 20, 2008 08:59:14 UTC 2008 年 12 月 20 日 (土) 17 時 59 分 14 秒 (日本時間)
composite number 合成数
90106422946825408363604857144748861894415378687351286417994381988145740514085075549840680353930716088170577060545290073747118283014102345407<140>
prime factors 素因数
269367314763042914282201634549081377562001210180121850198455089769<66>
334511345691997716865981461494206580384756565786245263349384660653593436903<75>
factorization results 素因数分解の結果
Number: 41117_155
N=90106422946825408363604857144748861894415378687351286417994381988145740514085075549840680353930716088170577060545290073747118283014102345407
  ( 140 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=269367314763042914282201634549081377562001210180121850198455089769
 r2=334511345691997716865981461494206580384756565786245263349384660653593436903
Version: 
Total time: 23.50 hours.
Scaled time: 50.72 units (timescale=2.158).
Factorization parameters were as follows:
n: 90106422946825408363604857144748861894415378687351286417994381988145740514085075549840680353930716088170577060545290073747118283014102345407
m: 10000000000000000000000000000000
deg: 5
c5: 37
c0: 53
skew: 1.07
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 464074 x 464322
Total sieving time: 23.50 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 23.50 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10159+539

c153

name 名前Serge Batalov
date 日付December 14, 2008 22:23:23 UTC 2008 年 12 月 15 日 (月) 7 時 23 分 23 秒 (日本時間)
composite number 合成数
485176907892298017214417627143198508833688082886783719398433610286736536599785554429289484775299428567816907033141503562975300443505456660110615352101471<153>
prime factors 素因数
443323695339234757494089624823618634934581<42>
452780513252055747543767753370086491619059<42>
2417082367680574707369031567295805948468828136719998084989731464459249<70>
factorization results 素因数分解の結果
SNFS difficulty: 161 digits.
Divisors found:
 r1=443323695339234757494089624823618634934581 (pp42)
 r2=452780513252055747543767753370086491619059 (pp42)
 r3=2417082367680574707369031567295805948468828136719998084989731464459249 (pp70)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.692).
Factorization parameters were as follows:
n: 485176907892298017214417627143198508833688082886783719398433610286736536599785554429289484775299428567816907033141503562975300443505456660110615352101471
m: 100000000000000000000000000000000
deg: 5
c5: 37
c0: 530
skew: 1.70
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1750000, 3650001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 723565 x 723813
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,52,52,2.4,2.4,100000
total time: 26.00 hours.
software ソフトウェア
Msieve-1.39
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10160+539

c126

name 名前Sinkiti Sibata
date 日付December 30, 2008 05:48:56 UTC 2008 年 12 月 30 日 (火) 14 時 48 分 56 秒 (日本時間)
composite number 合成数
172209388578223980722585214247740618263420413262660881975294049842946008295376192901434462909969745146634753200138846085187119<126>
prime factors 素因数
102923831468505464693908978527655484175650802069673<51>
1673173123475487703089313710784677360787957797984518357283275857504571559703<76>
factorization results 素因数分解の結果
Number: 41117_160
N=172209388578223980722585214247740618263420413262660881975294049842946008295376192901434462909969745146634753200138846085187119
  ( 126 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=102923831468505464693908978527655484175650802069673
 r2=1673173123475487703089313710784677360787957797984518357283275857504571559703
Version: 
Total time: 38.38 hours.
Scaled time: 76.64 units (timescale=1.997).
Factorization parameters were as follows:
name: 41117_160
n: 172209388578223980722585214247740618263420413262660881975294049842946008295376192901434462909969745146634753200138846085187119
m: 100000000000000000000000000000000
deg: 5
c5: 37
c0: 53
skew: 1.07
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 3050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 616277 x 616525
Total sieving time: 38.38 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 38.38 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
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10162+539

c138

name 名前Jo Yeong Uk
date 日付January 12, 2009 10:12:46 UTC 2009 年 1 月 12 日 (月) 19 時 12 分 46 秒 (日本時間)
composite number 合成数
363289531354746753320799714164560359754424340577689448833156203649841655419145956572610748257666769704275970426653960602488750448203665401<138>
prime factors 素因数
42028157780136442442379542414682359487864735723991<50>
8643955636962190706372478541886100514006131870100713909201584397138993894515028748366511<88>
factorization results 素因数分解の結果
Number: 41117_162
N=363289531354746753320799714164560359754424340577689448833156203649841655419145956572610748257666769704275970426653960602488750448203665401
  ( 138 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=42028157780136442442379542414682359487864735723991
 r2=8643955636962190706372478541886100514006131870100713909201584397138993894515028748366511
Version: 
Total time: 25.85 hours.
Scaled time: 61.62 units (timescale=2.384).
Factorization parameters were as follows:
n: 363289531354746753320799714164560359754424340577689448833156203649841655419145956572610748257666769704275970426653960602488750448203665401
m: 100000000000000000000000000000000
deg: 5
c5: 3700
c0: 53
skew: 0.43
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2300000, 4400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9823817
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 794867 x 795114
Total sieving time: 23.16 hours.
Total relation processing time: 1.02 hours.
Matrix solve time: 1.41 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,51,51,2.4,2.4,100000
total time: 25.85 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: 8046968k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805)
Calibrating delay using timer specific routine.. 5344.84 BogoMIPS (lpj=2672421)
Calibrating delay using timer specific routine.. 5344.41 BogoMIPS (lpj=2672207)
Calibrating delay using timer specific routine.. 5291.27 BogoMIPS (lpj=2645639)
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
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkJanuary 11, 2009 07:19:14 UTC 2009 年 1 月 11 日 (日) 16 時 19 分 14 秒 (日本時間)

37×10166+539

c156

name 名前Serge Batalov
date 日付December 19, 2008 19:46:40 UTC 2008 年 12 月 20 日 (土) 4 時 46 分 40 秒 (日本時間)
composite number 合成数
236408863367670142721103299844704445499417936577501671655105982078525215703490151195127495684341517913294975327058250115806342823270262708415877058579607433<156>
prime factors 素因数
538011999070133912246986997440759766268356209654134229710176541138511<69>
439411878873081543610582036653852567797126398884022586714170752552913700796583215412903<87>
factorization results 素因数分解の結果
SNFS difficulty: 167 digits.
Divisors found:
 r1=538011999070133912246986997440759766268356209654134229710176541138511 (pp69)
 r2=439411878873081543610582036653852567797126398884022586714170752552913700796583215412903 (pp87)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.309).
Factorization parameters were as follows:
n: 236408863367670142721103299844704445499417936577501671655105982078525215703490151195127495684341517913294975327058250115806342823270262708415877058579607433
m: 1000000000000000000000000000000000
deg: 5
c5: 370
c0: 53
skew: 0.68
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2150000, 5650001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 954792 x 955039
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,52,52,2.4,2.4,100000
total time: 45.00 hours.
software ソフトウェア
Msieve-1.39
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10168+539

c158

name 名前Serge Batalov
date 日付December 15, 2008 21:51:02 UTC 2008 年 12 月 16 日 (火) 6 時 51 分 2 秒 (日本時間)
composite number 合成数
13609582016862291049453137524723009045974398678080754559936713443116025299342216519110899671138279626636611560178417519813777040628623124578030888993199988569<158>
prime factors 素因数
1155470698301302268611468354403836671616459816573<49>
6382078797307035347345673498114642379600251847737301<52>
1845540960763765864183039787801984859962999384752383870553<58>
factorization results 素因数分解の結果
SNFS difficulty: 170 digits.
Divisors found:
 r1=1155470698301302268611468354403836671616459816573 (pp49)
 r2=6382078797307035347345673498114642379600251847737301 (pp52)
 r3=1845540960763765864183039787801984859962999384752383870553 (pp58)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.950).
Factorization parameters were as follows:
n: 13609582016862291049453137524723009045974398678080754559936713443116025299342216519110899671138279626636611560178417519813777040628623124578030888993199988569
m: 5000000000000000000000000000000000
deg: 5
c5: 296
c0: 1325
skew: 1.35
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2450000, 5450001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 919522 x 919770
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,200000
total time: 70.00 hours.
software ソフトウェア
Msieve-1.39
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10169+539

c169

name 名前Serge Batalov
date 日付December 14, 2008 02:06:44 UTC 2008 年 12 月 14 日 (日) 11 時 6 分 44 秒 (日本時間)
composite number 合成数
2163742690058479532163742690058479532163742690058479532163742690058479532163742690058479532163742690058479532163742690058479532163742690058479532163742690058479532163743<169>
prime factors 素因数
291511918341504324969778930777933<33>
composite cofactor 合成数の残り
7422484481487542405434963871001284300917097043855519001904556196162796366335291956314614258679614931018465138599301201369883800196508571<136>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=104395819
Step 1 took 10737ms
Step 2 took 2968ms
********** Factor found in step 2: 291511918341504324969778930777933
Found probable prime factor of 33 digits: 291511918341504324969778930777933
Composite cofactor has 136 digits
software ソフトウェア
GMP-ECM 6.2.1

c136

name 名前Jo Yeong Uk
date 日付July 25, 2009 06:14:11 UTC 2009 年 7 月 25 日 (土) 15 時 14 分 11 秒 (日本時間)
composite number 合成数
7422484481487542405434963871001284300917097043855519001904556196162796366335291956314614258679614931018465138599301201369883800196508571<136>
prime factors 素因数
6256622275585770775151492306219379972061<40>
1186340513227261878040769445245614823177468731961871849452046522629392283910274236941531315901911<97>
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 7422484481487542405434963871001284300917097043855519001904556196162796366335291956314614258679614931018465138599301201369883800196508571 (136 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3546435855
Step 1 took 4851ms
Step 2 took 4259ms
********** Factor found in step 2: 6256622275585770775151492306219379972061
Found probable prime factor of 40 digits: 6256622275585770775151492306219379972061
Probable prime cofactor 1186340513227261878040769445245614823177468731961871849452046522629392283910274236941531315901911 has 97 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
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10170+539

c129

name 名前Markus Tervooren
date 日付September 23, 2009 22:07:14 UTC 2009 年 9 月 24 日 (木) 7 時 7 分 14 秒 (日本時間)
composite number 合成数
960792852730043416587536301900355013291868929009077724099208649994807360505992935335860729053144258511065251226798984308147476323<129>
prime factors 素因数
2060454176204106527686604895224268091652282863420069<52>
466301490140428261860982955098960860463183987146647186020739663643778439019367<78>
factorization results 素因数分解の結果
Msieve v. 1.42
Wed Sep 23 23:30:02 2009
random seeds: 9265f727 ad073a50
factoring 960792852730043416587536301900355013291868929009077724099208649994807360505992935335860729053144258511065251226798984308147476323 (129 digits)
searching for 15-digit factors
commencing number field sieve (129-digit input)
R0: -10000000000000000000000000000000000
R1:  1
A0:  53
A1:  0
A2:  0
A3:  0
A4:  0
A5:  37
skew 1.07, size 5.920174e-12, alpha 0.452227, combined = 2.402113e-10

commencing square root phase
reading relations for dependency 1
read 352479 cycles
cycles contain 1297241 unique relations
read 1297241 relations
multiplying 1044346 relations
multiply complete, coefficients have about 28.31 million bits
initial square root is modulo 134631661
reading relations for dependency 2
read 352550 cycles
cycles contain 1297471 unique relations
read 1297471 relations
multiplying 1044696 relations
multiply complete, coefficients have about 28.32 million bits
initial square root is modulo 135591101
sqrtTime: 385
prp52 factor: 2060454176204106527686604895224268091652282863420069
prp78 factor: 466301490140428261860982955098960860463183987146647186020739663643778439019367
elapsed time 00:06:26

this was another experiment:
lpbr: 32
lpba: 32
mfbr: 50
mfba: 50
rlambda: 2.7
alambda: 2.7

Sieve time:  ~ 26 hours

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkAugust 1, 2009 16:00:27 UTC 2009 年 8 月 2 日 (日) 1 時 0 分 27 秒 (日本時間)
403e62111Jo Yeong UkSeptember 17, 2009 05:05:51 UTC 2009 年 9 月 17 日 (木) 14 時 5 分 51 秒 (日本時間)

37×10174+539

c136

name 名前Wataru Sakai
date 日付May 7, 2010 04:34:38 UTC 2010 年 5 月 7 日 (金) 13 時 34 分 38 秒 (日本時間)
composite number 合成数
5256756003019634710485850523483125367256418043445308873789318761027914805600309065612464814376394312121146082854902077121956599419408769<136>
prime factors 素因数
411031001001685955380049009409122115779<39>
12789195924903174631369859008028597242225849432731341507224437578584150752650309238077031152328811<98>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3142029518
Step 1 took 42977ms
Step 2 took 14632ms
********** Factor found in step 2: 411031001001685955380049009409122115779
Found probable prime factor of 39 digits: 411031001001685955380049009409122115779
Probable prime cofactor 12789195924903174631369859008028597242225849432731341507224437578584150752650309238077031152328811 has 98 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
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)
351e60--
403e60 / 1594--
4511e6215 / 4479Dmitry DomanovMay 6, 2010 19:37:19 UTC 2010 年 5 月 7 日 (金) 4 時 37 分 19 秒 (日本時間)

37×10175+539

c136

name 名前Wataru Sakai
date 日付May 15, 2011 05:30:19 UTC 2011 年 5 月 15 日 (日) 14 時 30 分 19 秒 (日本時間)
composite number 合成数
5155067219182083248760361174573855391734791637173337111939020249746136101648928558233332222704744229952399546220789116882831820753696719<136>
prime factors 素因数
902291021089878530885494913692062719<36>
7996291587171749382618460758285765209<37>
714494803581107095962027285242825026955271797212682348178273689<63>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4029550040
Step 1 took 10055ms
Step 2 took 4216ms
********** Factor found in step 2: 902291021089878530885494913692062719
Found probable prime factor of 36 digits: 902291021089878530885494913692062719
Composite cofactor 5713308786953538184986313981072954262785704167440774746717888528774563465962453051508171411996286001 has 100 digits
--------------------

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2404983928
Step 1 took 6414ms
Step 2 took 3399ms
********** Factor found in step 2: 7996291587171749382618460758285765209
Found probable prime factor of 37 digits: 7996291587171749382618460758285765209
Probable prime cofactor 714494803581107095962027285242825026955271797212682348178273689 has 63 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosMay 11, 2011 23:42:44 UTC 2011 年 5 月 12 日 (木) 8 時 42 分 44 秒 (日本時間)
403e6110 / 2144Ignacio SantosMay 11, 2011 23:42:44 UTC 2011 年 5 月 12 日 (木) 8 時 42 分 44 秒 (日本時間)
4511e632 / 4441Ignacio SantosMay 11, 2011 23:42:44 UTC 2011 年 5 月 12 日 (木) 8 時 42 分 44 秒 (日本時間)

37×10176+539

c104

name 名前Serge Batalov
date 日付December 13, 2008 23:40:05 UTC 2008 年 12 月 14 日 (日) 8 時 40 分 5 秒 (日本時間)
composite number 合成数
81351324881477265512334352563522654500501545964971871395141823618372230062230820442757896873495747611689<104>
prime factors 素因数
15102382275566300653137564378239<32>
91977583043394794293256969720219<32>
58564869249345584602048726485816313603829<41>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3150125923
Step 1 took 6465ms
********** Factor found in step 1: 91977583043394794293256969720219
Found probable prime factor of 32 digits: 91977583043394794293256969720219
Composite cofactor has 72 digits

Sat Dec 13 15:36:47 2008  Msieve v. 1.39
Sat Dec 13 15:36:47 2008  random seeds: ff568006 9809a85b
Sat Dec 13 15:36:47 2008  factoring 884469043322174635950314079773456828426465440667479238633610773754677131 (72 digits)
Sat Dec 13 15:36:47 2008  searching for 15-digit factors
Sat Dec 13 15:36:48 2008  commencing quadratic sieve (72-digit input)
Sat Dec 13 15:36:48 2008  using multiplier of 1
Sat Dec 13 15:36:48 2008  using 64kb Opteron sieve core
Sat Dec 13 15:36:48 2008  sieve interval: 6 blocks of size 65536
Sat Dec 13 15:36:48 2008  processing polynomials in batches of 17
Sat Dec 13 15:36:48 2008  using a sieve bound of 414311 (17438 primes)
Sat Dec 13 15:36:48 2008  using large prime bound of 41431100 (25 bits)
Sat Dec 13 15:36:48 2008  using trial factoring cutoff of 25 bits
Sat Dec 13 15:36:48 2008  polynomial 'A' values have 9 factors
Sat Dec 13 15:39:26 2008  17777 relations (8871 full + 8906 combined from 97264 partial), need 17534
Sat Dec 13 15:39:27 2008  begin with 106135 relations
Sat Dec 13 15:39:27 2008  reduce to 25588 relations in 2 passes
Sat Dec 13 15:39:27 2008  attempting to read 25588 relations
Sat Dec 13 15:39:27 2008  recovered 25588 relations
Sat Dec 13 15:39:27 2008  recovered 19369 polynomials
Sat Dec 13 15:39:27 2008  attempting to build 17777 cycles
Sat Dec 13 15:39:27 2008  found 17777 cycles in 1 passes
Sat Dec 13 15:39:27 2008  distribution of cycle lengths:
Sat Dec 13 15:39:27 2008     length 1 : 8871
Sat Dec 13 15:39:27 2008     length 2 : 8906
Sat Dec 13 15:39:27 2008  largest cycle: 2 relations
Sat Dec 13 15:39:27 2008  matrix is 17438 x 17777 (2.5 MB) with weight 515169 (28.98/col)
Sat Dec 13 15:39:27 2008  sparse part has weight 515169 (28.98/col)
Sat Dec 13 15:39:27 2008  filtering completed in 3 passes
Sat Dec 13 15:39:27 2008  matrix is 12817 x 12880 (2.0 MB) with weight 411137 (31.92/col)
Sat Dec 13 15:39:27 2008  sparse part has weight 411137 (31.92/col)
Sat Dec 13 15:39:27 2008  saving the first 48 matrix rows for later
Sat Dec 13 15:39:27 2008  matrix is 12769 x 12880 (1.4 MB) with weight 303997 (23.60/col)
Sat Dec 13 15:39:27 2008  sparse part has weight 226977 (17.62/col)
Sat Dec 13 15:39:27 2008  matrix includes 64 packed rows
Sat Dec 13 15:39:27 2008  commencing Lanczos iteration
Sat Dec 13 15:39:27 2008  memory use: 1.8 MB
Sat Dec 13 15:39:31 2008  lanczos halted after 203 iterations (dim = 12764)
Sat Dec 13 15:39:31 2008  recovered 15 nontrivial dependencies
Sat Dec 13 15:39:31 2008  prp32 factor: 15102382275566300653137564378239
Sat Dec 13 15:39:31 2008  prp41 factor: 58564869249345584602048726485816313603829
Sat Dec 13 15:39:31 2008  elapsed time 00:02:44
software ソフトウェア
GMP-ECM 6.2.1; msieve/QS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10179+539

c121

name 名前Serge Batalov
date 日付December 13, 2008 23:55:41 UTC 2008 年 12 月 14 日 (日) 8 時 55 分 41 秒 (日本時間)
composite number 合成数
9657227136109478322078135370061660244717827995589211313730301879604282839847557715337369107449147003744213885177713807237<121>
prime factors 素因数
2119493083661110697017153309<28>
composite cofactor 合成数の残り
4556385302955576221884023543638349856512194802012137833352589947767890040676035957132831155593<94>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1915012220
Step 1 took 7824ms
Step 2 took 4376ms
********** Factor found in step 2: 2119493083661110697017153309
Found probable prime factor of 28 digits: 2119493083661110697017153309
Composite cofactor has 94 digits
software ソフトウェア
GMP-ECM 6.2.1

c94

name 名前Jo Yeong Uk
date 日付December 14, 2008 22:27:44 UTC 2008 年 12 月 15 日 (月) 7 時 27 分 44 秒 (日本時間)
composite number 合成数
4556385302955576221884023543638349856512194802012137833352589947767890040676035957132831155593<94>
prime factors 素因数
1231767907813054570880909901881618539628959<43>
3699061547272506851328690176815392273739868519354327<52>
factorization results 素因数分解の結果
Sun Dec 14 23:07:19 2008  
Sun Dec 14 23:07:19 2008  
Sun Dec 14 23:07:19 2008  Msieve v. 1.39
Sun Dec 14 23:07:19 2008  random seeds: efc8f9c0 4a2a88b6
Sun Dec 14 23:07:19 2008  factoring 4556385302955576221884023543638349856512194802012137833352589947767890040676035957132831155593 (94 digits)
Sun Dec 14 23:07:20 2008  searching for 15-digit factors
Sun Dec 14 23:07:21 2008  commencing quadratic sieve (94-digit input)
Sun Dec 14 23:07:21 2008  using multiplier of 1
Sun Dec 14 23:07:21 2008  using VC8 32kb sieve core
Sun Dec 14 23:07:21 2008  sieve interval: 36 blocks of size 32768
Sun Dec 14 23:07:21 2008  processing polynomials in batches of 6
Sun Dec 14 23:07:21 2008  using a sieve bound of 2059511 (76377 primes)
Sun Dec 14 23:07:21 2008  using large prime bound of 284212518 (28 bits)
Sun Dec 14 23:07:21 2008  using double large prime bound of 1646484896014146 (42-51 bits)
Sun Dec 14 23:07:21 2008  using trial factoring cutoff of 51 bits
Sun Dec 14 23:07:21 2008  polynomial 'A' values have 12 factors
Mon Dec 15 02:09:04 2008  76723 relations (18644 full + 58079 combined from 1105235 partial), need 76473
Mon Dec 15 02:09:06 2008  begin with 1123879 relations
Mon Dec 15 02:09:06 2008  reduce to 199758 relations in 11 passes
Mon Dec 15 02:09:06 2008  attempting to read 199758 relations
Mon Dec 15 02:09:09 2008  recovered 199758 relations
Mon Dec 15 02:09:09 2008  recovered 183205 polynomials
Mon Dec 15 02:09:09 2008  attempting to build 76723 cycles
Mon Dec 15 02:09:09 2008  found 76723 cycles in 5 passes
Mon Dec 15 02:09:09 2008  distribution of cycle lengths:
Mon Dec 15 02:09:09 2008     length 1 : 18644
Mon Dec 15 02:09:09 2008     length 2 : 13569
Mon Dec 15 02:09:09 2008     length 3 : 12956
Mon Dec 15 02:09:09 2008     length 4 : 10464
Mon Dec 15 02:09:09 2008     length 5 : 7806
Mon Dec 15 02:09:09 2008     length 6 : 5369
Mon Dec 15 02:09:09 2008     length 7 : 3303
Mon Dec 15 02:09:09 2008     length 9+: 4612
Mon Dec 15 02:09:09 2008  largest cycle: 18 relations
Mon Dec 15 02:09:10 2008  matrix is 76377 x 76723 (20.7 MB) with weight 4802821 (62.60/col)
Mon Dec 15 02:09:10 2008  sparse part has weight 4802821 (62.60/col)
Mon Dec 15 02:09:11 2008  filtering completed in 3 passes
Mon Dec 15 02:09:11 2008  matrix is 72800 x 72864 (19.7 MB) with weight 4576855 (62.81/col)
Mon Dec 15 02:09:11 2008  sparse part has weight 4576855 (62.81/col)
Mon Dec 15 02:09:11 2008  saving the first 48 matrix rows for later
Mon Dec 15 02:09:11 2008  matrix is 72752 x 72864 (12.2 MB) with weight 3552283 (48.75/col)
Mon Dec 15 02:09:11 2008  sparse part has weight 2460376 (33.77/col)
Mon Dec 15 02:09:11 2008  matrix includes 64 packed rows
Mon Dec 15 02:09:11 2008  using block size 29145 for processor cache size 4096 kB
Mon Dec 15 02:09:11 2008  commencing Lanczos iteration
Mon Dec 15 02:09:11 2008  memory use: 11.2 MB
Mon Dec 15 02:09:41 2008  lanczos halted after 1151 iterations (dim = 72748)
Mon Dec 15 02:09:41 2008  recovered 14 nontrivial dependencies
Mon Dec 15 02:09:41 2008  prp43 factor: 1231767907813054570880909901881618539628959
Mon Dec 15 02:09:41 2008  prp52 factor: 3699061547272506851328690176815392273739868519354327
Mon Dec 15 02:09:41 2008  elapsed time 03:02:22
execution environment 実行環境
Core 2 Quad Q6600,Windows Vista(tm) Ultimate x64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10180+539

c151

name 名前Dmitry Domanov
date 日付August 5, 2013 15:35:49 UTC 2013 年 8 月 6 日 (火) 0 時 35 分 49 秒 (日本時間)
composite number 合成数
3032030220678757944646159855687760522711898420237444250695156379566792447849554282220709985230834896126611300970379650526050192443158585752287157831001<151>
prime factors 素因数
13539135719133733569794790734865914115109697826682169186381<59>
223945625745803109684836553236548218100453913460551499657883535139630902872293332324805257021<93>
factorization results 素因数分解の結果
N=3032030220678757944646159855687760522711898420237444250695156379566792447849554282220709985230834896126611300970379650526050192443158585752287157831001
  ( 151 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=13539135719133733569794790734865914115109697826682169186381 (pp59)
 r2=223945625745803109684836553236548218100453913460551499657883535139630902872293332324805257021 (pp93)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 108.70 hours.
Scaled time: 209.24 units (timescale=1.925).
Factorization parameters were as follows:
n: 3032030220678757944646159855687760522711898420237444250695156379566792447849554282220709985230834896126611300970379650526050192443158585752287157831001
m: 1000000000000000000000000000000000000
deg: 5
c5: 37
c0: 53
skew: 1.07
# Murphy_E = 9.562e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 9300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1374932 x 1375163
Total sieving time: 106.53 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 1.81 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 108.70 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)
351e60--
403e61020300Dmitry DomanovMay 27, 2011 06:04:30 UTC 2011 年 5 月 27 日 (金) 15 時 4 分 30 秒 (日本時間)
720Ignacio SantosMay 26, 2013 22:05:15 UTC 2013 年 5 月 27 日 (月) 7 時 5 分 15 秒 (日本時間)
4511e6230 / 4043Ignacio SantosMay 26, 2013 22:05:15 UTC 2013 年 5 月 27 日 (月) 7 時 5 分 15 秒 (日本時間)
5043e660 / 7463Ignacio SantosMay 26, 2013 22:05:15 UTC 2013 年 5 月 27 日 (月) 7 時 5 分 15 秒 (日本時間)

37×10181+539

c139

name 名前Dmitry Domanov
date 日付August 5, 2013 15:36:15 UTC 2013 年 8 月 6 日 (火) 0 時 36 分 15 秒 (日本時間)
composite number 合成数
1018299839583203604484735670803650973418017520539166748962656957668667410682991485229946221852507974115305352219383122006152658532903524271<139>
prime factors 素因数
198832449327167108210474808742352819838077365289<48>
5121396648429608554583577645098226021777994943778710231278982629222589234720572312521302039<91>
factorization results 素因数分解の結果
N=1018299839583203604484735670803650973418017520539166748962656957668667410682991485229946221852507974115305352219383122006152658532903524271
  ( 139 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=198832449327167108210474808742352819838077365289 (pp48)
 r2=5121396648429608554583577645098226021777994943778710231278982629222589234720572312521302039 (pp91)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 194.25 hours.
Scaled time: 373.54 units (timescale=1.923).
Factorization parameters were as follows:
n: 1018299839583203604484735670803650973418017520539166748962656957668667410682991485229946221852507974115305352219383122006152658532903524271
m: 1000000000000000000000000000000000000
deg: 5
c5: 370
c0: 53
skew: 0.68
# Murphy_E = 5.872e-11
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7700000/7700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3850000, 14250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1714067 x 1714294
Total sieving time: 191.11 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.81 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7700000,7700000,28,28,53,53,2.5,2.5,100000
total time: 194.25 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)
351e60--
403e6500300Dmitry DomanovMay 27, 2011 06:04:39 UTC 2011 年 5 月 27 日 (金) 15 時 4 分 39 秒 (日本時間)
200Rich DickersonJune 15, 2013 05:07:14 UTC 2013 年 6 月 15 日 (土) 14 時 7 分 14 秒 (日本時間)
4511e6300 / 4018Rich DickersonJune 15, 2013 05:57:49 UTC 2013 年 6 月 15 日 (土) 14 時 57 分 49 秒 (日本時間)
5043e6100 / 7467Rich DickersonJune 15, 2013 13:36:56 UTC 2013 年 6 月 15 日 (土) 22 時 36 分 56 秒 (日本時間)

37×10182+539

c138

name 名前Dmitry Domanov
date 日付May 27, 2011 06:04:16 UTC 2011 年 5 月 27 日 (金) 15 時 4 分 16 秒 (日本時間)
composite number 合成数
298015890325100385196761679814122400045878512263113789131905728352789303274277500567551819862233573284134142622939445851447369678044929797<138>
prime factors 素因数
66503759116420841760084255000846633188302189<44>
4481188646846212570408128066055347535742323250663668778014220005823609084064780441641738830073<94>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3352722534
Step 1 took 48747ms
Step 2 took 19883ms
********** Factor found in step 2: 66503759116420841760084255000846633188302189
Found probable prime factor of 44 digits: 66503759116420841760084255000846633188302189
Probable prime cofactor 4481188646846212570408128066055347535742323250663668778014220005823609084064780441641738830073 has 94 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10183+539

c177

name 名前Ignacio Santos
date 日付September 8, 2010 06:25:53 UTC 2010 年 9 月 8 日 (水) 15 時 25 分 53 秒 (日本時間)
composite number 合成数
980295452041124824914595732911668517702930365401420522294528284875342053564774200997606939834737553579438891070708631472311303259617499842291657343924445397185645941710625631711<177>
prime factors 素因数
16341765990518257191015784455289216670783702372232517762691590620667457952660416047359851<89>
59987118443007154419128460881877747027910664389391604615387614124217848128314301168800861<89>
factorization results 素因数分解の結果
Number: 12
N=980295452041124824914595732911668517702930365401420522294528284875342053564774200997606939834737553579438891070708631472311303259617499842291657343924445397185645941710625631711
  ( 177 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=16341765990518257191015784455289216670783702372232517762691590620667457952660416047359851 (pp89)
 r2=59987118443007154419128460881877747027910664389391604615387614124217848128314301168800861 (pp89)
Version: Msieve-1.40
Total time: 204.35 hours.
Scaled time: 356.38 units (timescale=1.744).
Factorization parameters were as follows:
n: 980295452041124824914595732911668517702930365401420522294528284875342053564774200997606939834737553579438891070708631472311303259617499842291657343924445397185645941710625631711
m: 1000000000000000000000000000000000000
deg: 5
c5: 37000
c0: 53
skew: 0.27
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4150000, 7450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1661560 x 1661785
Total sieving time: 199.60 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 4.04 hours.
Time per square root: 0.44 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8300000,8300000,28,28,54,54,2.5,2.5,100000
total time: 204.35 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
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 18, 2010 16:33:32 UTC 2010 年 6 月 19 日 (土) 1 時 33 分 32 秒 (日本時間)
403e62144110Ignacio SantosJune 18, 2010 16:33:32 UTC 2010 年 6 月 19 日 (土) 1 時 33 分 32 秒 (日本時間)
2034Wataru SakaiJune 23, 2010 04:01:20 UTC 2010 年 6 月 23 日 (水) 13 時 1 分 20 秒 (日本時間)
4511e632 / 3991Ignacio SantosJune 18, 2010 16:33:32 UTC 2010 年 6 月 19 日 (土) 1 時 33 分 32 秒 (日本時間)

37×10184+539

c160

name 名前Jo Yeong Uk
date 日付June 18, 2014 22:26:56 UTC 2014 年 6 月 19 日 (木) 7 時 26 分 56 秒 (日本時間)
composite number 合成数
1114009550166693714470126359583180310040654171745315988536394513892815603320982184678759193229357993393171286558048066786184559497745231133486722825578753214761<160>
prime factors 素因数
1145599264587319215239852748616777023580477<43>
972425161749728333966343260626451854734200960620980579857864023816986579948093247859608057558236421315011928192755293<117>
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 1114009550166693714470126359583180310040654171745315988536394513892815603320982184678759193229357993393171286558048066786184559497745231133486722825578753214761 (160 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3955892161
Step 1 took 29711ms
Step 2 took 9861ms
********** Factor found in step 2: 1145599264587319215239852748616777023580477
Found probable prime factor of 43 digits: 1145599264587319215239852748616777023580477
Probable prime cofactor 972425161749728333966343260626451854734200960620980579857864023816986579948093247859608057558236421315011928192755293 has 117 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovMay 27, 2011 06:04:48 UTC 2011 年 5 月 27 日 (金) 15 時 4 分 48 秒 (日本時間)
1500Dmitry DomanovAugust 2, 2013 05:15:30 UTC 2013 年 8 月 2 日 (金) 14 時 15 分 30 秒 (日本時間)
4511e6460 / 4081160Rich DickersonNovember 15, 2013 16:26:42 UTC 2013 年 11 月 16 日 (土) 1 時 26 分 42 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:51 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 51 秒 (日本時間)

37×10185+539

c162

name 名前Jo Yeong Uk
date 日付November 5, 2014 12:01:23 UTC 2014 年 11 月 5 日 (水) 21 時 1 分 23 秒 (日本時間)
composite number 合成数
849025571396796335386246689015507123802539507426578083907736783197606629679485271117338199590011332157992409252767681744474669989243411063358931178106303896163707<162>
prime factors 素因数
699418624920567186652450795619293513359359470604533623368951189903629<69>
1213901862412114026053381832460167319386840137257813955663893197666789608480261737193497212583<94>
factorization results 素因数分解の結果
Number: 41117_185
N=849025571396796335386246689015507123802539507426578083907736783197606629679485271117338199590011332157992409252767681744474669989243411063358931178106303896163707
  ( 162 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=699418624920567186652450795619293513359359470604533623368951189903629
 r2=1213901862412114026053381832460167319386840137257813955663893197666789608480261737193497212583
Version: 
Total time: 72.34 hours.
Scaled time: 375.90 units (timescale=5.196).
Factorization parameters were as follows:
n: 849025571396796335386246689015507123802539507426578083907736783197606629679485271117338199590011332157992409252767681744474669989243411063358931178106303896163707
m: 10000000000000000000000000000000000000
deg: 5
c5: 37
c0: 53
skew: 1.07
# Murphy_E = 5.992e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 7500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19955543
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1719037 x 1719285
Total sieving time: 65.94 hours.
Total relation processing time: 1.71 hours.
Matrix solve time: 3.80 hours.
Time per square root: 0.90 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 72.34 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)
351e60--
403e62100300Dmitry DomanovMay 27, 2011 06:04:57 UTC 2011 年 5 月 27 日 (金) 15 時 4 分 57 秒 (日本時間)
1500Dmitry DomanovAugust 2, 2013 05:15:38 UTC 2013 年 8 月 2 日 (金) 14 時 15 分 38 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:50 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 50 秒 (日本時間)
4511e6530 / 4015230Ignacio SantosFebruary 3, 2014 19:47:28 UTC 2014 年 2 月 4 日 (火) 4 時 47 分 28 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:51 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 51 秒 (日本時間)

37×10186+539

c146

name 名前Serge Batalov
date 日付December 14, 2008 01:35:12 UTC 2008 年 12 月 14 日 (日) 10 時 35 分 12 秒 (日本時間)
composite number 合成数
38847129569124309156477218134793509790557062206121944706724651835153341314370437417850593546564788611677744688899515460254477222109232626010118083<146>
prime factors 素因数
10378488878367712824242152948117<32>
composite cofactor 合成数の残り
3743042944343746327051073365541314201342334703437542556352179663331113160500440981418270935251237401012936934788599<115>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1287780505
Step 1 took 11689ms
Step 2 took 6736ms
********** Factor found in step 2: 10378488878367712824242152948117
Found probable prime factor of 32 digits: 10378488878367712824242152948117
Composite cofactor has 115 digits
software ソフトウェア
GMP-ECM 6.2.1

c115

name 名前Jo Yeong Uk
date 日付December 20, 2008 10:06:56 UTC 2008 年 12 月 20 日 (土) 19 時 6 分 56 秒 (日本時間)
composite number 合成数
3743042944343746327051073365541314201342334703437542556352179663331113160500440981418270935251237401012936934788599<115>
prime factors 素因数
2689929817698759709554943418445374763129549819167<49>
1391502082959891862381969553973756799821963452576981458534155488297<67>
factorization results 素因数分解の結果
Number: 41117_186
N=3743042944343746327051073365541314201342334703437542556352179663331113160500440981418270935251237401012936934788599
  ( 115 digits)
Divisors found:
 r1=2689929817698759709554943418445374763129549819167
 r2=1391502082959891862381969553973756799821963452576981458534155488297
Version: 
Total time: 23.49 hours.
Scaled time: 56.17 units (timescale=2.391).
Factorization parameters were as follows:
name: 41117_186
n: 3743042944343746327051073365541314201342334703437542556352179663331113160500440981418270935251237401012936934788599
skew: 19576.61
# norm 1.71e+15
c5: 71040
c4: 5792275644
c3: -75240063274582
c2: -1887877505352075585
c1: 13052664014638656996786
c0: 93295585212988908690842265
# alpha -4.74
Y1: 612224461663
Y0: -8797188109558810865144
# Murphy_E 5.31e-10
# M 2485795306113775412739937617463062509924090181073194909416249828870954543475074827476885729509114857968585428779381
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, 2730001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9452756
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 554579 x 554827
Polynomial selection time: 1.33 hours.
Total sieving time: 20.54 hours.
Total relation processing time: 0.81 hours.
Matrix solve time: 0.69 hours.
Time per square root: 0.13 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: 23.49 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: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
software ソフトウェア
GGNFS-0.77.1-20050930-nocona / 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
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10190+539

c152

name 名前Serge Batalov
date 日付December 14, 2008 04:49:36 UTC 2008 年 12 月 14 日 (日) 13 時 49 分 36 秒 (日本時間)
composite number 合成数
20105573178018562621888900777370317309858873733098315622354305209799822550562334900149593874044751788684676152239363944488413734569170773134100253265893<152>
prime factors 素因数
228822554008790119385212155709949<33>
composite cofactor 合成数の残り
87865347299839227077677777536365983116150872999131750437968032584396075641901842890425376739301590272179304048017141257<119>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1937590972
Step 1 took 9284ms
Step 2 took 5233ms
********** Factor found in step 2: 228822554008790119385212155709949
Found probable prime factor of 33 digits: 228822554008790119385212155709949
Composite cofactor has 119 digits
software ソフトウェア
GMP-ECM 6.2.1

c119

name 名前Jo Yeong Uk
date 日付December 22, 2008 14:58:48 UTC 2008 年 12 月 22 日 (月) 23 時 58 分 48 秒 (日本時間)
composite number 合成数
87865347299839227077677777536365983116150872999131750437968032584396075641901842890425376739301590272179304048017141257<119>
prime factors 素因数
6700559039122072293901319740648826129<37>
94122795556702802098640504555138641771009<41>
139319457310594504389225773069331905769337<42>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.3] [ECM]
Input number is 87865347299839227077677777536365983116150872999131750437968032584396075641901842890425376739301590272179304048017141257 (119 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2495475907
Step 1 took 13322ms
Step 2 took 9282ms
********** Factor found in step 2: 6700559039122072293901319740648826129
Found probable prime factor of 37 digits: 6700559039122072293901319740648826129
Composite cofactor 13113136797515870136423584090069674988260781902340888649157796440990324986327751033 has 83 digits

Mon Dec 22 22:59:56 2008  
Mon Dec 22 22:59:56 2008  
Mon Dec 22 22:59:56 2008  Msieve v. 1.39
Mon Dec 22 22:59:56 2008  random seeds: 5344db90 d0343cf0
Mon Dec 22 22:59:56 2008  factoring 13113136797515870136423584090069674988260781902340888649157796440990324986327751033 (83 digits)
Mon Dec 22 22:59:57 2008  searching for 15-digit factors
Mon Dec 22 22:59:58 2008  commencing quadratic sieve (83-digit input)
Mon Dec 22 22:59:58 2008  using multiplier of 1
Mon Dec 22 22:59:58 2008  using VC8 32kb sieve core
Mon Dec 22 22:59:58 2008  sieve interval: 12 blocks of size 32768
Mon Dec 22 22:59:58 2008  processing polynomials in batches of 17
Mon Dec 22 22:59:58 2008  using a sieve bound of 1357919 (52059 primes)
Mon Dec 22 22:59:58 2008  using large prime bound of 124928548 (26 bits)
Mon Dec 22 22:59:58 2008  using trial factoring cutoff of 27 bits
Mon Dec 22 22:59:58 2008  polynomial 'A' values have 10 factors
Mon Dec 22 23:15:29 2008  52266 relations (26562 full + 25704 combined from 277983 partial), need 52155
Mon Dec 22 23:15:29 2008  begin with 304545 relations
Mon Dec 22 23:15:29 2008  reduce to 74683 relations in 2 passes
Mon Dec 22 23:15:29 2008  attempting to read 74683 relations
Mon Dec 22 23:15:30 2008  recovered 74683 relations
Mon Dec 22 23:15:30 2008  recovered 66029 polynomials
Mon Dec 22 23:15:30 2008  attempting to build 52266 cycles
Mon Dec 22 23:15:30 2008  found 52266 cycles in 1 passes
Mon Dec 22 23:15:30 2008  distribution of cycle lengths:
Mon Dec 22 23:15:30 2008     length 1 : 26562
Mon Dec 22 23:15:30 2008     length 2 : 25704
Mon Dec 22 23:15:30 2008  largest cycle: 2 relations
Mon Dec 22 23:15:30 2008  matrix is 52059 x 52266 (7.7 MB) with weight 1591401 (30.45/col)
Mon Dec 22 23:15:30 2008  sparse part has weight 1591401 (30.45/col)
Mon Dec 22 23:15:30 2008  filtering completed in 3 passes
Mon Dec 22 23:15:30 2008  matrix is 37218 x 37282 (6.0 MB) with weight 1276780 (34.25/col)
Mon Dec 22 23:15:30 2008  sparse part has weight 1276780 (34.25/col)
Mon Dec 22 23:15:30 2008  saving the first 48 matrix rows for later
Mon Dec 22 23:15:30 2008  matrix is 37170 x 37282 (4.8 MB) with weight 1060890 (28.46/col)
Mon Dec 22 23:15:30 2008  sparse part has weight 894883 (24.00/col)
Mon Dec 22 23:15:30 2008  matrix includes 64 packed rows
Mon Dec 22 23:15:30 2008  using block size 14912 for processor cache size 4096 kB
Mon Dec 22 23:15:30 2008  commencing Lanczos iteration
Mon Dec 22 23:15:30 2008  memory use: 4.5 MB
Mon Dec 22 23:15:35 2008  lanczos halted after 589 iterations (dim = 37168)
Mon Dec 22 23:15:35 2008  recovered 15 nontrivial dependencies
Mon Dec 22 23:15:35 2008  prp41 factor: 94122795556702802098640504555138641771009
Mon Dec 22 23:15:35 2008  prp42 factor: 139319457310594504389225773069331905769337
Mon Dec 22 23:15:35 2008  elapsed time 00:15:39
execution environment 実行環境
Core 2 Quad Q6600,Windows Vista(tm) Ultimate K x64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10191+539

c161

name 名前Edwin Hall
date 日付December 27, 2020 17:02:58 UTC 2020 年 12 月 28 日 (月) 2 時 2 分 58 秒 (日本時間)
composite number 合成数
35095495349634071033318364085607984064335232079881918030680951498641102831037349644578106233535984909070583466571710602672244602674394727083390019175330423726647<161>
prime factors 素因数
76771930080208979902700508074812613455996356032307252588589031957601812539<74>
457139677392080202186528453031286846919072390193413919982500664124131032909266816606773<87>
factorization results 素因数分解の結果
p74 factor: 76771930080208979902700508074812613455996356032307252588589031957601812539
p87 factor: 457139677392080202186528453031286846919072390193413919982500664124131032909266816606773


Msieve v. 1.54 (SVN 1034)
random seeds: a4acc635 9ee5460d
factoring 35095495349634071033318364085607984064335232079881918030680951498641102831037349644578106233535984909070583466571710602672244602674394727083390019175330423726647 (161 digits)
searching for 15-digit factors
commencing number field sieve (161-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 53
A1: 0
A2: 0
A3: 0
A4: 0
A5: 370
skew 1.00, size 9.575e-14, alpha 1.664, combined = 2.055e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 2267527 hash collisions in 36470826 relations
added 727365 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 37198191 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1233.5 MB
keeping 40190408 ideals with weight <= 200, target excess is 196329
commencing in-memory singleton removal
begin with 37198191 relations and 40190408 unique ideals
reduce to 13917539 relations and 12876393 ideals in 15 passes
max relations containing the same ideal: 111
removing 2161818 relations and 1761818 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11755721 relations and 12876393 unique ideals
reduce to 11464837 relations and 10812605 ideals in 9 passes
max relations containing the same ideal: 98
removing 1752850 relations and 1352850 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9711987 relations and 10812605 unique ideals
reduce to 9473195 relations and 9212591 ideals in 9 passes
max relations containing the same ideal: 90
removing 236979 relations and 204117 ideals in 32862 cliques
commencing in-memory singleton removal
begin with 9236216 relations and 9212591 unique ideals
reduce to 9231766 relations and 9004009 ideals in 6 passes
max relations containing the same ideal: 89
relations with 0 large ideals: 4149
relations with 1 large ideals: 7452
relations with 2 large ideals: 68322
relations with 3 large ideals: 351016
relations with 4 large ideals: 1081136
relations with 5 large ideals: 2079223
relations with 6 large ideals: 2621678
relations with 7+ large ideals: 3018790
commencing 2-way merge
reduce to 5715941 relation sets and 5488184 unique ideals
commencing full merge
memory use: 654.5 MB
found 2670325 cycles, need 2648384
weight of 2648384 cycles is about 238711014 (90.13/cycle)
distribution of cycle lengths:
1 relations: 227994
2 relations: 230616
3 relations: 238801
4 relations: 229570
5 relations: 220466
6 relations: 202602
7 relations: 186932
8 relations: 168584
9 relations: 149939
10+ relations: 792880
heaviest cycle: 28 relations
commencing cycle optimization
start with 19663196 relations
pruned 664567 relations
memory use: 578.8 MB
distribution of cycle lengths:
1 relations: 227994
2 relations: 236358
3 relations: 247999
4 relations: 237197
5 relations: 228413
6 relations: 208694
7 relations: 192646
8 relations: 171734
9 relations: 152565
10+ relations: 744784
heaviest cycle: 27 relations
RelProcTime: 1003
elapsed time 00:16:45


Msieve v. 1.54 (SVN 1034)
random seeds: edad802b 4b6a7d06
factoring 35095495349634071033318364085607984064335232079881918030680951498641102831037349644578106233535984909070583466571710602672244602674394727083390019175330423726647 (161 digits)
searching for 15-digit factors
commencing number field sieve (161-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 53
A1: 0
A2: 0
A3: 0
A4: 0
A5: 370
skew 1.00, size 9.575e-14, alpha 1.664, combined = 2.055e-11 rroots = 1

commencing linear algebra
read 2648384 cycles
cycles contain 9073949 unique relations
read 9073949 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1145.4 MB
read 2648384 cycles
matrix is 2648207 x 2648384 (973.8 MB) with weight 284297424 (107.35/col)
sparse part has weight 226149101 (85.39/col)
filtering completed in 2 passes
matrix is 2647514 x 2647691 (973.8 MB) with weight 284273893 (107.37/col)
sparse part has weight 226141104 (85.41/col)
matrix starts at (0, 0)
matrix is 2647514 x 2647691 (973.8 MB) with weight 284273893 (107.37/col)
sparse part has weight 226141104 (85.41/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2647466 x 2647691 (924.9 MB) with weight 233351538 (88.13/col)
sparse part has weight 215989212 (81.58/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 883.5 MB
linear algebra at 0.1%, ETA 3h23m
checkpointing every 820000 dimensions
lanczos halted after 41867 iterations (dim = 2647464)
recovered 37 nontrivial dependencies
BLanczosTime: 12244
elapsed time 03:24:05


Msieve v. 1.54 (SVN 1034)
random seeds: 5d69a97d f7a01736
factoring 35095495349634071033318364085607984064335232079881918030680951498641102831037349644578106233535984909070583466571710602672244602674394727083390019175330423726647 (161 digits)
searching for 15-digit factors
commencing number field sieve (161-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 53
A1: 0
A2: 0
A3: 0
A4: 0
A5: 370
skew 1.00, size 9.575e-14, alpha 1.664, combined = 2.055e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1323268 cycles
cycles contain 4533306 unique relations
read 4533306 relations
multiplying 4533306 relations
multiply complete, coefficients have about 139.02 million bits
initial square root is modulo 97561
sqrtTime: 284
p74 factor: 76771930080208979902700508074812613455996356032307252588589031957601812539
p87 factor: 457139677392080202186528453031286846919072390193413919982500664124131032909266816606773
elapsed time 00:04:45
software ソフトウェア
CADO-NFS/Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)
351e60--
403e63400300Dmitry DomanovMay 27, 2011 06:05:07 UTC 2011 年 5 月 27 日 (金) 15 時 5 分 7 秒 (日本時間)
1500Dmitry DomanovAugust 2, 2013 05:15:49 UTC 2013 年 8 月 2 日 (金) 14 時 15 分 49 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:50 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 50 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:48 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 48 秒 (日本時間)
4511e64000Robert BalfourApril 28, 2020 16:49:12 UTC 2020 年 4 月 29 日 (水) 1 時 49 分 12 秒 (日本時間)

37×10192+539

c125

name 名前Erik Branger
date 日付January 23, 2010 13:00:53 UTC 2010 年 1 月 23 日 (土) 22 時 0 分 53 秒 (日本時間)
composite number 合成数
15219801995250409263884478918230893396053637846459760471217467031840081230366783600588731482805708269679836776190284554468849<125>
prime factors 素因数
35867083397590927593219722374171229076428790438873337549741<59>
424338991451774208641450903833682362243340085368246160578079275989<66>
factorization results 素因数分解の結果
Number: 41117_192
N = 15219801995250409263884478918230893396053637846459760471217467031840081230366783600588731482805708269679836776190284554468849 (125 digits)
Divisors found:
r1=35867083397590927593219722374171229076428790438873337549741 (pp59)
r2=424338991451774208641450903833682362243340085368246160578079275989 (pp66)
Version: Msieve v. 1.43
Total time: 51.55 hours.
Factorization parameters were as follows:
# Murphy_E = 1.651132e-10, selected by Jeff Gilchrist
n: 15219801995250409263884478918230893396053637846459760471217467031840081230366783600588731482805708269679836776190284554468849
Y0: -878417414778137359843827
Y1: 42604429692917
c0: 590760238536977697989435816
c1: 447377631951994378635082
c2: -73250295773860776351
c3: 221003606989922
c4: 15649523548
c5: 29100
skew: 61281.74
type: gnfs
# selected mechanically
rlim: 6800000
alim: 6800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [3400000, 6700000)
Relations: 1728878 relations
Pruned matrix : 1019688 x 1019913
Polynomial selection time: 0.00 hours.
Total sieving time: 48.09 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.85 hours.
time per square root: 0.41 hours.
Prototype def-par.txt line would be: gnfs,124,5,65,2000,1e-05,0.28,250,20,50000,3600,6800000,6800000,27,27,52,52,2.5,2.5,100000
total time: 51.55 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
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)
351e60--
403e6500 / 2336Erik BrangerMarch 4, 2009 16:24:16 UTC 2009 年 3 月 5 日 (木) 1 時 24 分 16 秒 (日本時間)

37×10193+539

c146

name 名前Eric Jeancolas
date 日付May 19, 2021 18:20:44 UTC 2021 年 5 月 20 日 (木) 3 時 20 分 44 秒 (日本時間)
composite number 合成数
22031663168948549702191772274342320739135587575722610170213344382902473810371375592540282691118751552509540366783735642171764416228037351346864577<146>
prime factors 素因数
22620670955447701270885992607239887032719623930504387909531<59>
973961524498578070133981136312734010236888371467511125721629529764581946684229363546067<87>
factorization results 素因数分解の結果
22031663168948549702191772274342320739135587575722610170213344382902473810371375592540282691118751552509540366783735642171764416228037351346864577=22620670955447701270885992607239887032719623930504387909531*973961524498578070133981136312734010236888371467511125721629529764581946684229363546067 

cado polynomial
n: 22031663168948549702191772274342320739135587575722610170213344382902473810371375592540282691118751552509540366783735642171764416228037351346864577
skew: 0.72
type: snfs
c0: 53
c6: 370
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 370*x^6+53
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12200000
tasks.lim1 = 12200000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 973961524498578070133981136312734010236888371467511125721629529764581946684229363546067 22620670955447701270885992607239887032719623930504387909531
Info:Square Root: Total cpu/real time for sqrt: 2529.23/308.787
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29197971
Info:Lattice Sieving: Average J: 1894.08 for 4200738 special-q, max bucket fill -bkmult 1.0,1s:1.126520
Info:Lattice Sieving: Total time: 1.266e+06s
Info:Filtering - Merging: Merged matrix has 2630370 rows and total weight 449170071 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 859.21/174.215
Info:Filtering - Merging: Total cpu/real time for replay: 108.3/84.0485
Info:Linear Algebra: Total cpu/real time for bwc: 118876/29590.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 69547.55, WCT time 18527.59, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (82432 iterations)
Info:Linear Algebra: Lingen CPU time 950.48, WCT time 82.29
Info:Linear Algebra: Mksol: CPU time 40354.51,  WCT time 10974.14, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (41472 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 693.24/402.172
Info:Generate Factor Base: Total cpu/real time for makefb: 10.08/1.55063
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 891.86/540.973
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 426.2s
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29197971
Info:Lattice Sieving: Average J: 1894.08 for 4200738 special-q, max bucket fill -bkmult 1.0,1s:1.126520
Info:Lattice Sieving: Total time: 1.266e+06s
Info:Generate Free Relations: Total cpu/real time for freerel: 215.47/19.5586
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 218.63/103.625
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 103.0s
Info:Square Root: Total cpu/real time for sqrt: 2529.23/308.787
Info:Quadratic Characters: Total cpu/real time for characters: 99.1/24.9028
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.60575e+06/29926.1
973961524498578070133981136312734010236888371467511125721629529764581946684229363546067 22620670955447701270885992607239887032719623930504387909531
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
3 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)
351e60--
403e63400300Dmitry DomanovMay 27, 2011 06:05:20 UTC 2011 年 5 月 27 日 (金) 15 時 5 分 20 秒 (日本時間)
1500Dmitry DomanovAugust 2, 2013 05:15:57 UTC 2013 年 8 月 2 日 (金) 14 時 15 分 57 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:51 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 51 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:48 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 48 秒 (日本時間)

37×10194+539

c158

name 名前Erik Branger
date 日付May 31, 2011 06:28:20 UTC 2011 年 5 月 31 日 (火) 15 時 28 分 20 秒 (日本時間)
composite number 合成数
64025050603879418590329108488909813167639704925431419015936647795454245111699014125775099486340191474452298321805875183915601269382867386009953908045920893221<158>
prime factors 素因数
69006908009992140002562203976246800257<38>
composite cofactor 合成数の残り
927806395768502585111299202562307619951446152231141393438622199897825355340265825963704252974616585581754973797625682853<120>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 64025050603879418590329108488909813167639704925431419015936647795454245111699014125775099486340191474452298321805875183915601269382867386009953908045920893221 (158 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=233142294
Step 1 took 18672ms
Step 2 took 10172ms
********** Factor found in step 2: 69006908009992140002562203976246800257
Found probable prime factor of 38 digits: 69006908009992140002562203976246800257
Composite cofactor 927806395768502585111299202562307619951446152231141393438622199897825355340265825963704252974616585581754973797625682853 has 120 digits
software ソフトウェア
GMP-ECM

c120

name 名前Erik Branger
date 日付May 31, 2011 14:16:20 UTC 2011 年 5 月 31 日 (火) 23 時 16 分 20 秒 (日本時間)
composite number 合成数
927806395768502585111299202562307619951446152231141393438622199897825355340265825963704252974616585581754973797625682853<120>
prime factors 素因数
47632910651030963930956056556114908667<38>
19478263727484837162068588896695823548905181571834417112058633113786498230811214559<83>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1 and --enable-asm-redc] [ECM]
Input number is 927806395768502585111299202562307619951446152231141393438622199897825355340265825963704252974616585581754973797625682853 (120 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2356192265
********** Factor found in step 2: 47632910651030963930956056556114908667
Found probable prime factor of 38 digits: 47632910651030963930956056556114908667

Probable prime cofactor 19478263727484837162068588896695823548905181571834417112
058633113786498230811214559 has 83 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 27, 2011 06:05:35 UTC 2011 年 5 月 27 日 (金) 15 時 5 分 35 秒 (日本時間)

37×10195+539

c196

name 名前Jo Yeong Uk
date 日付April 4, 2009 06:50:49 UTC 2009 年 4 月 4 日 (土) 15 時 50 分 49 秒 (日本時間)
composite number 合成数
4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117<196>
prime factors 素因数
4056360560086047507543906248121877688926356700992813898073165645472671699<73>
1013497456701408757672140181978775551363217130114066050778854198003534742597824804711171095712189587253568907167829952469983<124>
factorization results 素因数分解の結果
Number: 41117_195
N=4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117
  ( 196 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=4056360560086047507543906248121877688926356700992813898073165645472671699
 r2=1013497456701408757672140181978775551363217130114066050778854198003534742597824804711171095712189587253568907167829952469983
Version: 
Total time: 297.67 hours.
Scaled time: 709.65 units (timescale=2.384).
Factorization parameters were as follows:
n: 4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117
m: 1000000000000000000000000000000000000000
deg: 5
c5: 37
c0: 53
skew: 1.07
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [8000000, 14700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 23311414
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2563890 x 2564137
Total sieving time: 270.08 hours.
Total relation processing time: 8.66 hours.
Matrix solve time: 17.77 hours.
Time per square root: 1.17 hours.
Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,16000000,16000000,28,28,55,55,2.5,2.5,100000
total time: 297.67 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: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)
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
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkDecember 14, 2008 22:29:07 UTC 2008 年 12 月 15 日 (月) 7 時 29 分 7 秒 (日本時間)
403e62111500Jo Yeong UkDecember 14, 2008 22:43:34 UTC 2008 年 12 月 15 日 (月) 7 時 43 分 34 秒 (日本時間)
1611Jo Yeong UkMarch 23, 2009 01:29:07 UTC 2009 年 3 月 23 日 (月) 10 時 29 分 7 秒 (日本時間)

37×10196+539

c197

name 名前Wataru Sakai
date 日付December 28, 2008 09:01:45 UTC 2008 年 12 月 28 日 (日) 18 時 1 分 45 秒 (日本時間)
composite number 合成数
41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117<197>
prime factors 素因数
787928319933580324079324593875726511993688471405608499053<57>
706012788310465914244833920240020167224475218813102557627242440651<66>
73902637246869378978147840235120773789941657681890367360187082285806641539<74>
factorization results 素因数分解の結果
Number: 41117_196
N=41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117
  ( 197 digits)
SNFS difficulty: 197 digits.
Divisors found:
 r1=787928319933580324079324593875726511993688471405608499053
 r2=706012788310465914244833920240020167224475218813102557627242440651
 r3=73902637246869378978147840235120773789941657681890367360187082285806641539
Version: 
Total time: 1131.63 hours.
Scaled time: 2058.43 units (timescale=1.819).
Factorization parameters were as follows:
n: 41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117
m: 1000000000000000000000000000000000000000
deg: 5
c5: 370
c0: 53
skew: 0.68
type: snfs
lss: 1
rlim: 13700000
alim: 13700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13700000/13700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6850000, 19550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2616836 x 2617084
Total sieving time: 1131.63 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13700000,13700000,28,28,55,55,2.5,2.5,100000
total time: 1131.63 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
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)

37×10197+539

c179

name 名前Serge Batalov
date 日付May 26, 2014 19:58:41 UTC 2014 年 5 月 27 日 (火) 4 時 58 分 41 秒 (日本時間)
composite number 合成数
18468520859370384195810014168129760409291665737539143365641076663278351172581944672704934567610061673868763821481667745352648511151587602132610884970147634920207474238222466872483<179>
prime factors 素因数
7178232512631264018587142021239265488459<40>
2572850743810823509870597557669632335777759305883752983494673752038956681051855825692211572677488983573357748428457831010297313828206230537<139>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1462200990
Step 1 took 16197ms
Step 2 took 6097ms
********** Factor found in step 2: 7178232512631264018587142021239265488459
Found probable prime factor of 40 digits: 7178232512631264018587142021239265488459
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)
351e60--
403e63400300Dmitry DomanovMay 27, 2011 06:05:42 UTC 2011 年 5 月 27 日 (金) 15 時 5 分 42 秒 (日本時間)
1500Dmitry DomanovAugust 2, 2013 05:16:08 UTC 2013 年 8 月 2 日 (金) 14 時 16 分 8 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:51 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 51 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:48 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 48 秒 (日本時間)

37×10198+539

c172

name 名前Bob Backstrom
date 日付March 27, 2021 00:15:44 UTC 2021 年 3 月 27 日 (土) 9 時 15 分 44 秒 (日本時間)
composite number 合成数
4732045609758430978001748763659862223473101150167229400953399075385544907966666073503856034934503243131787180915851600458845921951329304768345568473011208093556561803218703<172>
prime factors 素因数
199737093116411195332069370353332741219489463<45>
23691371171605517162800710904424141329384279561614365482043998525661245225021682210057872416574857512952757652800592177267749481<128>
factorization results 素因数分解の結果
Number: n
N=4732045609758430978001748763659862223473101150167229400953399075385544907966666073503856034934503243131787180915851600458845921951329304768345568473011208093556561803218703  ( 172 digits)
SNFS difficulty: 199 digits.
Divisors found:

Sat Mar 27 11:09:30 2021  p45 factor: 199737093116411195332069370353332741219489463
Sat Mar 27 11:09:30 2021  p128 factor: 23691371171605517162800710904424141329384279561614365482043998525661245225021682210057872416574857512952757652800592177267749481
Sat Mar 27 11:09:30 2021  elapsed time 01:43:14 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 37x10^198+53 = 41(197)7
#
n: 4732045609758430978001748763659862223473101150167229400953399075385544907966666073503856034934503243131787180915851600458845921951329304768345568473011208093556561803218703
m: 1000000000000000000000000000000000000000
deg: 5
c5: 37000
c0: 53
skew: 0.27
# Murphy_E = 1.293e-11
type: snfs
lss: 1
rlim: 14800000
alim: 14800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14800000/14800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3961004 hash collisions in 28076160 relations (25514719 unique)
Msieve: matrix is 2035030 x 2035255 (715.1 MB)

Sieving start time : 2021/03/27 01:10:52
Sieving end time  : 2021/03/27 09:25:44

Total sieving time: 8hrs 14min 52secs.

Total relation processing time: 1hrs 21min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 33sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14800000,14800000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119391] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.47 BogoMIPS (lpj=12798944)
[    0.152034] smpboot: Total of 16 processors activated (102391.55 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)
351e60--
403e63400300Dmitry DomanovMay 27, 2011 06:05:49 UTC 2011 年 5 月 27 日 (金) 15 時 5 分 49 秒 (日本時間)
1500Dmitry DomanovAugust 2, 2013 05:16:16 UTC 2013 年 8 月 2 日 (金) 14 時 16 分 16 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:52 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 52 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:49 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 49 秒 (日本時間)

37×10202+539

c196

name 名前Serge Batalov
date 日付December 14, 2008 06:32:27 UTC 2008 年 12 月 14 日 (日) 15 時 32 分 27 秒 (日本時間)
composite number 合成数
4764060361262817462979999843687316795322691890331897020637767850763568787488568025560806193865607891591308566734629206679784313733821621193517380830860625057852753272159450576627058912615068313471<196>
prime factors 素因数
83073232889032830958318021005925831<35>
composite cofactor 合成数の残り
57347718339390154926339184530294156960878348876030304573157521297170923496818684614574091715773458560271341921644399653208512139175830624309009733603768798562441<161>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2223104446
Step 1 took 14353ms
Step 2 took 7001ms
********** Factor found in step 2: 83073232889032830958318021005925831
Found probable prime factor of 35 digits: 83073232889032830958318021005925831
Composite cofactor has 161 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
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)
351e60--
403e63400300Dmitry DomanovMay 27, 2011 06:05:58 UTC 2011 年 5 月 27 日 (金) 15 時 5 分 58 秒 (日本時間)
1500Dmitry DomanovAugust 2, 2013 05:16:25 UTC 2013 年 8 月 2 日 (金) 14 時 16 分 25 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:53 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 53 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:49 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 49 秒 (日本時間)
4511e64480Ignacio SantosDecember 6, 2021 07:58:01 UTC 2021 年 12 月 6 日 (月) 16 時 58 分 1 秒 (日本時間)

37×10203+539

c167

name 名前Bob Backstrom
date 日付August 21, 2021 16:28:13 UTC 2021 年 8 月 22 日 (日) 1 時 28 分 13 秒 (日本時間)
composite number 合成数
72379492015763454655288004523500884699232157235732395330049712889474129032287275077931619732967229406385489193082991064780130760420367150178686035928934735791601977731<167>
prime factors 素因数
6256618240686499913524822744661085130093096660122791<52>
742335946722433958454988816781362209324102189789381456989<57>
15583872380164258350334010738955289392371313069761379896969<59>
factorization results 素因数分解の結果
#
# N = 37x10^203+53 = 41(202)7
#
n: 72379492015763454655288004523500884699232157235732395330049712889474129032287275077931619732967229406385489193082991064780130760420367150178686035928934735791601977731
m: 10000000000000000000000000000000000000000
deg: 5
c5: 37000
c0: 53
skew: 0.27
# Murphy_E = 7.992e-12
type: snfs
lss: 1
rlim: 18000000
alim: 18000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 72379492015763454655288004523500884699232157235732395330049712889474129032287275077931619732967229406385489193082991064780130760420367150178686035928934735791601977731 (167 digits)
Using B1=43510000, B2=240490660426, polynomial Dickson(12), sigma=1:3719726409
Step 1 took 101481ms
********** Factor found in step 1: 6256618240686499913524822744661085130093096660122791
Found prime factor of 52 digits: 6256618240686499913524822744661085130093096660122791
Composite cofactor 11568468656930824969543030783165570548074282973591427559008398701390707300681971544880066789484543626773523924966341 has 116 digits


CADO


STA:Sun 22 Aug 2021 00:48:07 AEST (11,568,468,656,930,824,969,543,030,783,165,570,548,074,282,973,591,427,559,008,398,701,390,707,300,681,971,544,880,066,789,484,543,626,773,523,924,966,341 - C116)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 11568468656930824969543030783165570548074282973591427559008398701390707300681971544880066789484543626773523924966341 2>&1 | tee -a log47

Debug:root: Looking for parameter file for c116 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.33tdub96
Info:Database: Opened connection to database /tmp/cado.33tdub96/c115.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1156846865693082496954303078316557054807428297359142755900839870139070730068197154488
0066789484543626773523924966341
Debug:root: Root parameter dictionary:
N = 11568468656930824969543030783165570548074282973591427559008398701390707300681971544880066789484543626773523924966341
lim0 = 5484593
lim1 = 2800829
lpb0 = 26
lpb1 = 26
name = c115
...
n: 11568468656930824969543030783165570548074282973591427559008398701390707300681971544880066789484543626773523924966341
skew: 2002426.037
c0: 305323060181462744925199956301
c1: -873902276687082682643718
c2: -1751851701029903536
c3: 420211586013
c4: 70680
Y0: -3564017938999267899912674580
Y1: 8736576532726577999
# MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 1.85e-09
# f(x) = 70680*x^4+420211586013*x^3-1751851701029903536*x^2-873902276687082682643718*x+305323060181462744925199956301
# g(x) = 8736576532726577999*x-3564017938999267899912674580
...
Info:Square Root: Factors: 15583872380164258350334010738955289392371313069761379896969 742335946722433958454988816781362209324102189789381456989
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 339.48/49.3909
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 55681.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 56814/39.670/43.965/49.310/0.621
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 56814/37.840/43.193/45.210/1.001
Info:Polynomial Selection (size optimized): Total time: 1119.79
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 151.19
Info:Polynomial Selection (root optimized): Rootsieve time: 150.53
Info:Generate Factor Base: Total cpu/real time for makefb: 2.71/0.289748
Info:Generate Free Relations: Total cpu/real time for freerel: 53.16/3.507
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6778861
Info:Lattice Sieving: Average J: 4096 for 89254 special-q, max bucket fill: 0.680371
Info:Lattice Sieving: Total CPU time: 72437.6s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 16.71/19.2543
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 90.47/28.7673
Info:Filtering - Singleton removal: Total cpu/real time for purge: 72.93/29.2971
Info:Filtering - Merging: Total cpu/real time for merge: 151.79/119.164
Info:Filtering - Merging: Total cpu/real time for replay: 16.49/12.4463
Info:Linear Algebra: Total cpu/real time for bwc: 4753.51/0.000172138
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 231.1
Info:Linear Algebra: Lingen CPU time 259.78, WCT time 23.34
Info:Linear Algebra: Mksol: WCT time 138.23
Info:Quadratic Characters: Total cpu/real time for characters: 16.56/4.34623
Info:Square Root: Total cpu/real time for sqrt: 339.48/49.3909
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 79222.4/5538.18
Info:root: Cleaning up computation data in /tmp/cado.33tdub96
15583872380164258350334010738955289392371313069761379896969 742335946722433958454988816781362209324102189789381456989

END:Sun 22 Aug 2021 02:20:26 AEST (11,568,468,656,930,824,969,543,030,783,165,570,548,074,282,973,591,427,559,008,398,701,390,707,300,681,971,544,880,066,789,484,543,626,773,523,924,966,341 - C116)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)
351e60--
403e63400300Dmitry DomanovMay 27, 2011 06:06:07 UTC 2011 年 5 月 27 日 (金) 15 時 6 分 7 秒 (日本時間)
1500Dmitry DomanovAugust 2, 2013 05:16:35 UTC 2013 年 8 月 2 日 (金) 14 時 16 分 35 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:54 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 54 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:49 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 49 秒 (日本時間)

37×10204+539

c196

name 名前matsui
date 日付August 10, 2011 09:38:34 UTC 2011 年 8 月 10 日 (水) 18 時 38 分 34 秒 (日本時間)
composite number 合成数
1058936524097216252700104360876134978172762051446920521861392100153894532411387626635049619939139890546470306186103093811818969356898091531188665304495998759389349358435432108550037381319328808737<196>
prime factors 素因数
36013901706039348732894258478580046480127222380421<50>
29403549016729780383760061796366834102759115411281748455583377879695598416768766179518794162458720130132047190429835984532391358272705775676949997<146>
factorization results 素因数分解の結果
N=1058936524097216252700104360876134978172762051446920521861392100153894532411387626635049619939139890546470306186103093811818969356898091531188665304495998759389349358435432108550037381319328808737
  ( 196 digits)
SNFS difficulty: 205 digits.
Divisors found:
 r1=36013901706039348732894258478580046480127222380421 (pp50)
 r2=29403549016729780383760061796366834102759115411281748455583377879695598416768766179518794162458720130132047190429835984532391358272705775676949997 (pp146)
Version: Msieve v. 1.50
Total time:
Scaled time: 153.75 units (timescale=1.595).
Factorization parameters were as follows:
n: 1058936524097216252700104360876134978172762051446920521861392100153894532411387626635049619939139890546470306186103093811818969356898091531188665304495998759389349358435432108550037381319328808737
m: 10000000000000000000000000000000000000000
deg: 5
c5: 370000
c0: 53
skew: 0.17
type: snfs
lss: 1
rlim: 18700000
alim: 18700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 18700000/18700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [9350000, 31430001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 4201802 x 4202031
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,205.000,5,0,0,0,0,0,0,0,0,18700000,18700000,29,29,56,56,2.6,2.6,100000
total time:
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 27, 2011 06:06:21 UTC 2011 年 5 月 27 日 (金) 15 時 6 分 21 秒 (日本時間)

37×10205+539

c166

composite cofactor 合成数の残り
6019918064923632939754510479062577927215159639630048165445512935556750886189472331656791035655063785403101842395223844130023897025632447414933096048852458146305763133<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 11, 2008 00:00:00 UTC 2008 年 12 月 11 日 (木) 9 時 0 分 0 秒 (日本時間)
351e60--
403e63400300Dmitry DomanovMay 27, 2011 06:06:29 UTC 2011 年 5 月 27 日 (金) 15 時 6 分 29 秒 (日本時間)
1500Dmitry DomanovAugust 2, 2013 05:16:43 UTC 2013 年 8 月 2 日 (金) 14 時 16 分 43 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:54 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 54 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:50 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 50 秒 (日本時間)

37×10206+539

c178

name 名前Bob Backstrom
date 日付July 10, 2021 21:26:12 UTC 2021 年 7 月 11 日 (日) 6 時 26 分 12 秒 (日本時間)
composite number 合成数
2777841202835462814683361795521274948546446246771908229534584259240446897670009752749295151925235621472119478535622862562375894576104413657184405064019429373592323084866514824249<178>
prime factors 素因数
506182657587021141173527399799238580881395719<45>
5487823735561122282534270498720420006485366295572318270077347205802111581252687549350914875185667774816042484346624656221740416487871<133>
factorization results 素因数分解の結果
#
# N = 37x10^206+53 = 41(205)7
#
n: 2777841202835462814683361795521274948546446246771908229534584259240446897670009752749295151925235621472119478535622862562375894576104413657184405064019429373592323084866514824249
m: 100000000000000000000000000000000000000000
deg: 5
c5: 370
c0: 53
skew: 0.68
# Murphy_E = 4.813e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2777841202835462814683361795521274948546446246771908229534584259240446897670009752749295151925235621472119478535622862562375894576104413657184405064019429373592323084866514824249 (178 digits)
Using B1=46820000, B2=240494804566, polynomial Dickson(12), sigma=1:362233689
Step 1 took 125140ms
Step 2 took 37974ms
********** Factor found in step 2: 506182657587021141173527399799238580881395719
Found prime factor of 45 digits: 506182657587021141173527399799238580881395719
Prime cofactor 5487823735561122282534270498720420006485366295572318270077347205802111581252687549350914875185667774816042484346624656221740416487871 has 133 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 6, 2013 13:00:00 UTC 2013 年 7 月 6 日 (土) 22 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 2, 2013 05:16:56 UTC 2013 年 8 月 2 日 (金) 14 時 16 分 56 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:55 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 55 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:50 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 50 秒 (日本時間)

37×10208+539

c158

composite cofactor 合成数の残り
20434204583353760922196444334177282034722185859978788028622071866491393182132166559147432843448024595077701863016613167281815066529182950186853126251352881639<158>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 6, 2013 13:00:00 UTC 2013 年 7 月 6 日 (土) 22 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 2, 2013 05:17:04 UTC 2013 年 8 月 2 日 (金) 14 時 17 分 4 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:55 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 55 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:51 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 51 秒 (日本時間)

37×10209+539

c184

composite cofactor 合成数の残り
8380143943359500460709024345199023012892178508624680223454949490909644429293289122315406937628398275810306169966696198725181307156206209715722793164675011667397717664722082926602781943<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 6, 2013 13:00:00 UTC 2013 年 7 月 6 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 2, 2013 05:17:14 UTC 2013 年 8 月 2 日 (金) 14 時 17 分 14 秒 (日本時間)
4511e6547 / 4143247CypJanuary 8, 2014 04:26:35 UTC 2014 年 1 月 8 日 (水) 13 時 26 分 35 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:52 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 52 秒 (日本時間)

37×10210+539

c181

composite cofactor 合成数の残り
4428632477033059106225998264616858394019642031194896013891503546909830292668989976114742938690132225726372501048138234534328532021111282243101342580856037978728589575297812990221983<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 6, 2013 13:00:00 UTC 2013 年 7 月 6 日 (土) 22 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 2, 2013 05:17:23 UTC 2013 年 8 月 2 日 (金) 14 時 17 分 23 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:57 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 57 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:51 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 51 秒 (日本時間)

37×10211+539

c171

composite cofactor 合成数の残り
142705713981893578109026141651010169468367731778611033096152056794076059494111526766761876248128814521384710221635488731364309311702727516276108918049140235912651570851379<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 6, 2013 13:00:00 UTC 2013 年 7 月 6 日 (土) 22 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovAugust 2, 2013 05:17:31 UTC 2013 年 8 月 2 日 (金) 14 時 17 分 31 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:58 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 58 秒 (日本時間)
4511e6451 / 4077151CypFebruary 19, 2014 19:37:36 UTC 2014 年 2 月 20 日 (木) 4 時 37 分 36 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:53 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 53 秒 (日本時間)

37×10212+539

c124

name 名前Erik Branger
date 日付July 8, 2013 10:53:40 UTC 2013 年 7 月 8 日 (月) 19 時 53 分 40 秒 (日本時間)
composite number 合成数
2249053688756501965156302403492201384216602859986181569505442076826437226490918781927515306815782822809579818300979082401003<124>
prime factors 素因数
1940531037505694191464709110292738401882235913<46>
1158988774354969553621312105854389172309578898490720851793738897657914154382931<79>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 2249053688756501965156302403492201384216602859986181569505442076826437226490918781927515306815782822809579818300979082401003 (124 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2940213082
Step 1 took 37441ms
Step 2 took 26613ms
********** Factor found in step 2: 1940531037505694191464709110292738401882235913
Found probable prime factor of 46 digits: 1940531037505694191464709110292738401882235913
Probable prime cofactor 1158988774354969553621312105854389172309578898490720851793738897657914154382931 has 79 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 6, 2013 13:00:00 UTC 2013 年 7 月 6 日 (土) 22 時 0 分 0 秒 (日本時間)

37×10214+539

c209

name 名前Bob Backstrom
date 日付February 19, 2020 06:10:12 UTC 2020 年 2 月 19 日 (水) 15 時 10 分 12 秒 (日本時間)
composite number 合成数
20492060904841902919359918847008100954747271135940842853972521697077161969194007922009210018313810214605600103634444230108564169476432828436644612224577701547311211765898917758879666907642226117929152077842361<209>
prime factors 素因数
8573911910438551097087402948739853853245763840293<49>
2390047987301253337980400930482851443653653512100841371278415494555133271304723499622272110416930509402988283067970883369373982112184715750777068921953152348677<160>
factorization results 素因数分解の結果
#
# N = 37x10^214+53 = 41(213)7
#
n: 20492060904841902919359918847008100954747271135940842853972521697077161969194007922009210018313810214605600103634444230108564169476432828436644612224577701547311211765898917758879666907642226117929152077842361
m: 5000000000000000000000000000000000000000000
deg: 5
c5: 592
c0: 265
skew: 0.85
# Murphy_E = 2.037e-12
type: snfs
lss: 1
rlim: 28000000
alim: 28000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6



GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM]
Input number is 20492060904841902919359918847008100954747271135940842853972521697077161969194007922009210018313810214605600103634444230108564169476432828436644612224577701547311211765898917758879666907642226117929152077842361 (209 digits)
Using B1=400060000, B2=4767896883766, polynomial Dickson(30), sigma=1158836835
Step 1 took 2179490ms
Step 2 took 449452ms
********** Factor found in step 2: 8573911910438551097087402948739853853245763840293
Found probable prime factor of 49 digits: 8573911910438551097087402948739853853245763840293
Probable prime cofactor 2390047987301253337980400930482851443653653512100841371278415494555133271304723499622272110416930509402988283067970883369373982112184715750777068921953152348677 has 160 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 6, 2013 13:00:00 UTC 2013 年 7 月 6 日 (土) 22 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 2, 2013 05:17:39 UTC 2013 年 8 月 2 日 (金) 14 時 17 分 39 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:59 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 59 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:52 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 52 秒 (日本時間)

37×10215+539

c193

composite cofactor 合成数の残り
9085857401998767160046453099374428722689569371588375119274897366566003037581061888443270051772782613556073575414014575108427407716574952519084459631064421072414574973092900548116485609494303537<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 6, 2013 13:00:00 UTC 2013 年 7 月 6 日 (土) 22 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 2, 2013 05:17:49 UTC 2013 年 8 月 2 日 (金) 14 時 17 分 49 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:00 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 0 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:52 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 52 秒 (日本時間)

37×10216+539

c203

name 名前Bob Backstrom
date 日付September 26, 2019 07:37:25 UTC 2019 年 9 月 26 日 (木) 16 時 37 分 25 秒 (日本時間)
composite number 合成数
11462405212898011484511841754914120605961799734209598419665389445149588963294468714565496986354408807783393133209355414450885314231464503807175414244790759492220173418172776733956118856621532262093081191<203>
prime factors 素因数
33163271731369196982379342849077063094413343057170428943629423088906168519138429293732522127181<95>
345635536377302069981892410175686730205722209362622785506465157508599392335052895164474405373729632096366211<108>
factorization results 素因数分解の結果
Number: n
N=11462405212898011484511841754914120605961799734209598419665389445149588963294468714565496986354408807783393133209355414450885314231464503807175414244790759492220173418172776733956118856621532262093081191
  ( 203 digits)
SNFS difficulty: 217 digits.
Divisors found:

Thu Sep 26 17:30:03 2019  p95 factor: 33163271731369196982379342849077063094413343057170428943629423088906168519138429293732522127181
Thu Sep 26 17:30:03 2019  p108 factor: 345635536377302069981892410175686730205722209362622785506465157508599392335052895164474405373729632096366211
Thu Sep 26 17:30:03 2019  elapsed time 07:26:27 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.120).
Factorization parameters were as follows:
#
# N = 37x10^216+53 = 41(215)7
#
n: 11462405212898011484511841754914120605961799734209598419665389445149588963294468714565496986354408807783393133209355414450885314231464503807175414244790759492220173418172776733956118856621532262093081191
m: 1000000000000000000000000000000000000
deg: 6
c6: 37
c0: 53
skew: 1.06
# Murphy_E = 2.603e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 30000000/30000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 55000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9222327 hash collisions in 55662138 relations (48511299 unique)
Msieve: matrix is 4096966 x 4097191 (1438.1 MB)

Sieving start time: 2019/09/25 11:58:18
Sieving end time  : 2019/09/26 10:01:53

Total sieving time: 22hrs 3min 35secs.

Total relation processing time: 6hrs 59min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 5sec.

Prototype def-par.txt line would be:
snfs,217,6,0,0,0,0,0,0,0,0,30000000,30000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284064K/16703460K available (12300K kernel code, 2481K rwdata, 4172K rodata, 2436K init, 2384K bss, 419396K reserved, 0K cma-reserved)
[    0.080573] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.87 BogoMIPS (lpj=11977744)
[    0.078218] smpboot: Total of 16 processors activated (95821.95 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 6, 2013 13:00:00 UTC 2013 年 7 月 6 日 (土) 22 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 2, 2013 05:17:57 UTC 2013 年 8 月 2 日 (金) 14 時 17 分 57 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:01 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 1 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:53 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 53 秒 (日本時間)

37×10217+539

c184

name 名前Dmitry Domanov
date 日付August 2, 2013 06:00:44 UTC 2013 年 8 月 2 日 (金) 15 時 0 分 44 秒 (日本時間)
composite number 合成数
1140129148197166070519341297379817993053834084142306214421368639156098121030264195450842052298110135471550790620241218720500056453622517114446608439841144389220022700587544348277986909<184>
prime factors 素因数
3400132539656879671063030846611451637<37>
335319030919959622135031116519266324993580343186805383080230972584740655749271290838847540447195938134577384904095134831568968693561283267818182857<147>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2466313075
Step 1 took 25486ms
Step 2 took 9430ms
********** Factor found in step 2: 3400132539656879671063030846611451637
Found probable prime factor of 37 digits: 3400132539656879671063030846611451637

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 6, 2013 13:00:00 UTC 2013 年 7 月 6 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61500 / 2318Dmitry DomanovAugust 2, 2013 05:18:06 UTC 2013 年 8 月 2 日 (金) 14 時 18 分 6 秒 (日本時間)

37×10218+539

c181

name 名前Dmitry Domanov
date 日付August 2, 2013 06:00:06 UTC 2013 年 8 月 2 日 (金) 15 時 0 分 6 秒 (日本時間)
composite number 合成数
5283657818676329450823315942931713979901258705859693476958537675405728687855573630603618250543096880913830060045148193691519769877642385223078453712474594952116468388542281274667049<181>
prime factors 素因数
2140098604595201503191037414921877<34>
composite cofactor 合成数の残り
2468885222078695050368781238693250684238818965896803942571200252601966224690387741411622818410093311584426760346632910484603230831043988896242528837<148>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3105994489
Step 1 took 22795ms
Step 2 took 8206ms
********** Factor found in step 2: 2140098604595201503191037414921877
Found probable prime factor of 34 digits: 2140098604595201503191037414921877

c148

name 名前Serge Batalov
date 日付November 8, 2013 03:04:42 UTC 2013 年 11 月 8 日 (金) 12 時 4 分 42 秒 (日本時間)
composite number 合成数
2468885222078695050368781238693250684238818965896803942571200252601966224690387741411622818410093311584426760346632910484603230831043988896242528837<148>
prime factors 素因数
6732315012930027122346948815222023738000939<43>
366721583487548492535592624826745938265520000516612997791532066306605073671006248447016972655374502863183<105>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2799009041
Step 1 took 35960ms
Step 2 took 16117ms
********** Factor found in step 2: 6732315012930027122346948815222023738000939
Found probable prime factor of 43 digits: 6732315012930027122346948815222023738000939
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 6, 2013 13:00:00 UTC 2013 年 7 月 6 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 2, 2013 05:18:14 UTC 2013 年 8 月 2 日 (金) 14 時 18 分 14 秒 (日本時間)
4511e6460 / 4143230Ignacio SantosOctober 7, 2013 18:11:12 UTC 2013 年 10 月 8 日 (火) 3 時 11 分 12 秒 (日本時間)
230Ignacio SantosOctober 26, 2013 14:57:26 UTC 2013 年 10 月 26 日 (土) 23 時 57 分 26 秒 (日本時間)

37×10220+539

c183

name 名前Erik Branger
date 日付January 12, 2019 13:43:17 UTC 2019 年 1 月 12 日 (土) 22 時 43 分 17 秒 (日本時間)
composite number 合成数
381431514165577826222209704058744029789385136975158073922774651493043983133427235902949016360568708846239749374693783816993328231751678066695187294391362464644878832179994929858854487<183>
prime factors 素因数
84959789256658511094511947927879145717777724938349745763<56>
186680742144777087742179758140873636492026489711177102509633<60>
24049365719081724969995041235144875509949594775329362414936511771453<68>
factorization results 素因数分解の結果
Number: 41117_220
N = 381431514165577826222209704058744029789385136975158073922774651493043983133427235902949016360568708846239749374693783816993328231751678066695187294391362464644878832179994929858854487 (183 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=84959789256658511094511947927879145717777724938349745763 (pp56)
r2=186680742144777087742179758140873636492026489711177102509633 (pp60)
r3=24049365719081724969995041235144875509949594775329362414936511771453 (pp68)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 52.03 hours.
Factorization parameters were as follows:
n: 381431514165577826222209704058744029789385136975158073922774651493043983133427235902949016360568708846239749374693783816993328231751678066695187294391362464644878832179994929858854487
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 37
c0: 53
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30170793
Relations: 8694354 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 23.06 hours.
Total relation processing time: 0.34 hours.
Pruned matrix : 7449003 x 7449228
Matrix solve time: 28.03 hours.
time per square root: 0.60 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 52.03 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 6, 2013 13:00:00 UTC 2013 年 7 月 6 日 (土) 22 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 2, 2013 05:18:23 UTC 2013 年 8 月 2 日 (金) 14 時 18 分 23 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:01 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 1 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:53 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 53 秒 (日本時間)

37×10221+539

c221

name 名前Ignacio Santos
date 日付July 27, 2013 05:35:02 UTC 2013 年 7 月 27 日 (土) 14 時 35 分 2 秒 (日本時間)
composite number 合成数
19576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719576719577<221>
prime factors 素因数
539831859423762974601811789321<30>
106750734330094786191139879231283<33>
339711725178913842251349388736034143840255079778068817987934391040694719816146740827844386737437165674221906042718887813320692807683157649166099147463028152939<159>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4138305001
Step 1 took 15110ms
Step 2 took 8375ms
********** Factor found in step 2: 539831859423762974601811789321
Found probable prime factor of 30 digits: 539831859423762974601811789321
Composite cofactor 36264476123392403272648594332568303883963549640327992036010089522158474943114343858281576264828225567314755311327380336287445594290522103140950993499177887764409620802543743303045494677190737 has 191 digits

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1808940290
Step 1 took 10219ms
********** Factor found in step 1: 106750734330094786191139879231283
Found probable prime factor of 33 digits: 106750734330094786191139879231283
Probable prime cofactor 339711725178913842251349388736034143840255079778068817987934391040694719816146740827844386737437165674221906042718887813320692807683157649166099147463028152939 has 159 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
3025e40--
351e6118 / 904Makoto KamadaJuly 6, 2013 13:00:00 UTC 2013 年 7 月 6 日 (土) 22 時 0 分 0 秒 (日本時間)

37×10226+539

c221

composite cofactor 合成数の残り
25119413959998894745785760048631185426557860227841231454149974985816017401100624095234351572539809688530808248373704644437071556995644768851492191630170534343568272496488882996010154489148175553202477480275659090990867871<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 6, 2013 13:00:00 UTC 2013 年 7 月 6 日 (土) 22 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 2, 2013 05:18:31 UTC 2013 年 8 月 2 日 (金) 14 時 18 分 31 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:02 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 2 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:53 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 53 秒 (日本時間)

37×10227+539

c214

composite cofactor 合成数の残り
5604921146249198359767071098862810108532015865288711720800054434804709071223453101606917749444182091141805450808584431378798453543595200774143685422561215079095334847615285972221706259806767520146214679401721290677<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 6, 2013 13:00:00 UTC 2013 年 7 月 6 日 (土) 22 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovAugust 2, 2013 05:18:39 UTC 2013 年 8 月 2 日 (金) 14 時 18 分 39 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:03 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 3 秒 (日本時間)
4511e64096CypApril 29, 2014 20:29:49 UTC 2014 年 4 月 30 日 (水) 5 時 29 分 49 秒 (日本時間)

37×10228+539

c195

name 名前Dmitry Domanov
date 日付August 2, 2013 05:06:23 UTC 2013 年 8 月 2 日 (金) 14 時 6 分 23 秒 (日本時間)
composite number 合成数
979427587088467137203957170574401358877443170405612256869687310078183724060910190881544581472908218988246061574354259802614989837295807103915252535135540018507454137013792997057863272795174773191<195>
prime factors 素因数
264420678095019896745439718341489<33>
3825847699591958249679098925012292726783<40>
968164691949083443369340591709780124967642922705899942716299562003668660286761750419264158427043168693190035828387395685193<123>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2345211971
Step 1 took 26802ms
********** Factor found in step 1: 264420678095019896745439718341489
Found probable prime factor of 33 digits: 264420678095019896745439718341489

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3794948872
Step 1 took 19375ms
Step 2 took 7940ms
********** Factor found in step 2: 3825847699591958249679098925012292726783
Found probable prime factor of 40 digits: 3825847699591958249679098925012292726783

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 6, 2013 13:00:00 UTC 2013 年 7 月 6 日 (土) 22 時 0 分 0 秒 (日本時間)

37×10229+539

c214

name 名前Dmitry Domanov
date 日付August 2, 2013 05:13:28 UTC 2013 年 8 月 2 日 (金) 14 時 13 分 28 秒 (日本時間)
composite number 合成数
1017140236556704428423057373942059516437303142553402077759178890009374051822069090462185515920129730500482993807786399060907188937807353096835915263478295644425941471187142423212993628216566057056317042168687276351<214>
prime factors 素因数
68624251097950322037823914262268671<35>
14821877401691375308740963858106088033796939945484064758580337225735218305330956799611781641924218441671058539411268430748788322995494197808230142272946858114932244419336209734081<179>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=987242156
Step 1 took 37154ms
Step 2 took 10550ms
********** Factor found in step 2: 68624251097950322037823914262268671
Found probable prime factor of 35 digits: 68624251097950322037823914262268671

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 6, 2013 13:00:00 UTC 2013 年 7 月 6 日 (土) 22 時 0 分 0 秒 (日本時間)

37×10230+539

c214

composite cofactor 合成数の残り
1404145032276666251568271952864658363164883061014477749400138045379103997992043132782043510773419837825216890234451579993149524579179710844495797510342698547465689765827528549664942210246768804930599768351002688687<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 6, 2013 13:00:00 UTC 2013 年 7 月 6 日 (土) 22 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovAugust 2, 2013 05:18:55 UTC 2013 年 8 月 2 日 (金) 14 時 18 分 55 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:03 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 3 秒 (日本時間)
4511e6451 / 4077151CypFebruary 15, 2014 03:00:15 UTC 2014 年 2 月 15 日 (土) 12 時 0 分 15 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:53 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 53 秒 (日本時間)

37×10233+539

c215

composite cofactor 合成数の残り
80416491314362445817519692248507053833248742809952875668547196471029391605199732659204422651164119133774506206628046325862648230983610238778464445512506909098980219034182447047203586512843371306077129332401048014017<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 6, 2013 13:00:00 UTC 2013 年 7 月 6 日 (土) 22 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 2, 2013 05:19:03 UTC 2013 年 8 月 2 日 (金) 14 時 19 分 3 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:04 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 4 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:54 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 54 秒 (日本時間)

37×10234+539

c174

composite cofactor 合成数の残り
298756719629980276060474987147128903019679435146102852159781473089198944955982375329879951691195025981110684399969132356086348062083750447425651191229910426282906872478603997<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 6, 2013 13:00:00 UTC 2013 年 7 月 6 日 (土) 22 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 2, 2013 05:19:15 UTC 2013 年 8 月 2 日 (金) 14 時 19 分 15 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:05 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 5 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:54 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 54 秒 (日本時間)

37×10239+539

c186

name 名前Dmitry Domanov
date 日付August 2, 2013 09:06:04 UTC 2013 年 8 月 2 日 (金) 18 時 6 分 4 秒 (日本時間)
composite number 合成数
152824173060771770789360110688020954352627121354800922950706480083690322532010497184498523562945231667833030358986250842217868790169201574035371191517515824709963053516507598309936422249<186>
prime factors 素因数
255796466586621094668527865382949<33>
1503918356607238364670371428847598292516656017<46>
3656344436359910252989256841631301532069939139<46>
108649104836497006362965432073060497778808932688408237022318327<63>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3009128758
Step 1 took 22857ms
Step 2 took 9232ms
********** Factor found in step 2: 1503918356607238364670371428847598292516656017
Found probable prime factor of 46 digits: 1503918356607238364670371428847598292516656017

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=643479598
Step 1 took 16445ms
Step 2 took 7006ms
********** Factor found in step 2: 255796466586621094668527865382949
Found probable prime factor of 33 digits: 255796466586621094668527865382949
Composite cofactor 397258549984410445754645180674632385031534563109711613323279262289170773220904586535769912404625831574300453 has 108 digits

N=397258549984410445754645180674632385031534563109711613323279262289170773220904586535769912404625831574300453
  ( 108 digits)
Divisors found:
 r1=3656344436359910252989256841631301532069939139 (pp46)
 r2=108649104836497006362965432073060497778808932688408237022318327 (pp63)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 16.09 hours.
Scaled time: 16.91 units (timescale=1.051).
Factorization parameters were as follows:
name: c108
n: 397258549984410445754645180674632385031534563109711613323279262289170773220904586535769912404625831574300453
skew: 16744.74
# norm 5.27e+14
c5: 47940
c4: 1433498536
c3: -42606410800779
c2: -582072958602526233
c1: 5627280152830463424319
c0: -3812818409694232725010983
# alpha -5.68
Y1: 337915003309
Y0: -383418228019456508368
# Murphy_E 1.30e-09
# M 249032913566600744358240075364286912799493023327543131212532487004956116738280297983217835684540033848042815
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, 2600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 314920 x 315145
Polynomial selection time: 1.09 hours.
Total sieving time: 14.55 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 16.09 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 6, 2013 13:00:00 UTC 2013 年 7 月 6 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61500 / 2318Dmitry DomanovAugust 2, 2013 05:19:24 UTC 2013 年 8 月 2 日 (金) 14 時 19 分 24 秒 (日本時間)

37×10240+539

c222

composite cofactor 合成数の残り
819568822339746937344637651238636710208031340549860127855084836876768465143505351380294824579647749201203733483762084667537667630488867963076426453454355843472737066510654353540162812425973086297408714069928219081212080603<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 6, 2013 13:00:00 UTC 2013 年 7 月 6 日 (土) 22 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 2, 2013 05:19:33 UTC 2013 年 8 月 2 日 (金) 14 時 19 分 33 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:05 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 5 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:55 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 55 秒 (日本時間)

37×10245+539

c226

composite cofactor 合成数の残り
7880783612385766586383419030477875673563526345686824269429428491488616956868799329195494097473628387139678848017951430523788769006348975390450406282847140344038654619802173270502614882100239308075997842189550060890852839576929<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 6, 2013 13:00:00 UTC 2013 年 7 月 6 日 (土) 22 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 2, 2013 05:19:43 UTC 2013 年 8 月 2 日 (金) 14 時 19 分 43 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:06 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 6 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:55 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 55 秒 (日本時間)

37×10246+539

c192

composite cofactor 合成数の残り
221911200032660623087865535328624631255163704030437883829354508302809407665801548416974983944732150021519071837807465347016368292529444158303703042692978221248064970092685937491381707089120007<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 6, 2013 13:00:00 UTC 2013 年 7 月 6 日 (土) 22 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 2, 2013 05:19:51 UTC 2013 年 8 月 2 日 (金) 14 時 19 分 51 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:07 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 7 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:55 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 55 秒 (日本時間)

37×10247+539

c239

name 名前Dmitry Domanov
date 日付August 2, 2013 05:13:02 UTC 2013 年 8 月 2 日 (金) 14 時 13 分 2 秒 (日本時間)
composite number 合成数
44970654040548319410870372054602392394383397747845750431544564445243721248361013672131506258162584673289181064978399569654954825902974553027611550470329419942898866935553767106676209249848070200436522870541571118171316620322542003450481847<239>
prime factors 素因数
177133861864369067847848305107086623<36>
253879487339254370985282514043653119756767385921748622657254926878463887886088434242221927038928058809519331910950160260895340244427139185242012599497473962331822751195420922362276860759383139193695638889<204>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=957918317
Step 1 took 36316ms
Step 2 took 9695ms
********** Factor found in step 2: 177133861864369067847848305107086623
Found probable prime factor of 36 digits: 177133861864369067847848305107086623

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 6, 2013 13:00:00 UTC 2013 年 7 月 6 日 (土) 22 時 0 分 0 秒 (日本時間)

37×10248+539

c225

composite cofactor 合成数の残り
861334658692772581154125893083342364068601163228777004647536209977805275281071616315934020182632669932963505266843192555968363564018693951752916063326030144348805203193363226966693669139014829361431536752221671609668493286117<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 6, 2013 13:00:00 UTC 2013 年 7 月 6 日 (土) 22 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 2, 2013 05:20:04 UTC 2013 年 8 月 2 日 (金) 14 時 20 分 4 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:07 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 7 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:56 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 56 秒 (日本時間)

37×10249+539

c217

name 名前Dmitry Domanov
date 日付August 1, 2013 13:08:31 UTC 2013 年 8 月 1 日 (木) 22 時 8 分 31 秒 (日本時間)
composite number 合成数
6669246965877353020670816844394773926637394165699412473119356433310746227239597494252583932661339765363809079446063013468391025477840350025966651759338504000437364704414729277431535260599834058278117023033694301826411<217>
prime factors 素因数
903150298405957391480677346708671<33>
7384426465504626911116493353275159840318942785986632261414365196276527909926468705267926047208987588023983834563104367821431172820259726197533544797127669913685191575010876194280377941<184>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2485263537
Step 1 took 39039ms
Step 2 took 13556ms
********** Factor found in step 2: 903150298405957391480677346708671
Found probable prime factor of 33 digits: 903150298405957391480677346708671

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 6, 2013 13:00:00 UTC 2013 年 7 月 6 日 (土) 22 時 0 分 0 秒 (日本時間)

37×10250+539

c224

name 名前Dmitry Domanov
date 日付August 1, 2013 13:08:02 UTC 2013 年 8 月 1 日 (木) 22 時 8 分 2 秒 (日本時間)
composite number 合成数
76989026306931433576941595354209579476713499646478473468839177717207379588243575543447422668017133903097345271751212152593630839814552715717057587889921622864074315649473360513733158514390898962045277304272879776276984456173<224>
prime factors 素因数
18439592410636771860520499995221894071<38>
4175202173260660609201891221305294703091873756288597692259655543964534552983368576526902301403058255225695883095605872874780223582620134551760349338079582843647422859721082173551841680763<187>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2082600393
Step 1 took 42462ms
Step 2 took 14308ms
********** Factor found in step 2: 18439592410636771860520499995221894071
Found probable prime factor of 38 digits: 18439592410636771860520499995221894071

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 6, 2013 13:00:00 UTC 2013 年 7 月 6 日 (土) 22 時 0 分 0 秒 (日本時間)

37×10251+539

c219

composite cofactor 合成数の残り
436657927780585024722811540596222701017465320691439102346495387673201025328012975060493912682859402705622429935722103816408646471709820752812355256885544649311866600926413302289703609427388579432411738409057699479558217<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 15, 2021 20:24:40 UTC 2021 年 4 月 16 日 (金) 5 時 24 分 40 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 18, 2022 23:16:23 UTC 2022 年 2 月 19 日 (土) 8 時 16 分 23 秒 (日本時間)

37×10252+539

c221

composite cofactor 合成数の残り
30028180592161470795387077643926858343377674976377698786955683470551183579634293156890911788764479329323753808247795126284413035952866722650839037076639774623523825118879843184069496372900585996306305121039607321908208881<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 15, 2021 20:24:52 UTC 2021 年 4 月 16 日 (金) 5 時 24 分 52 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 19, 2022 04:43:14 UTC 2022 年 2 月 19 日 (土) 13 時 43 分 14 秒 (日本時間)

37×10254+539

c242

composite cofactor 合成数の残り
11397103758303918757998981623007016074883055817032624521446360422404748287427285732262046994748600229518426210508158476923007288249086180800292016629394772558167261687096415673526233916749172673974232610880757371990991829829029315103100894403<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 15, 2021 20:25:03 UTC 2021 年 4 月 16 日 (金) 5 時 25 分 3 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 4, 2022 04:53:38 UTC 2022 年 3 月 4 日 (金) 13 時 53 分 38 秒 (日本時間)

37×10256+539

c179

name 名前Ignacio Santos
date 日付April 15, 2021 19:43:06 UTC 2021 年 4 月 16 日 (金) 4 時 43 分 6 秒 (日本時間)
composite number 合成数
52044946006125280786649387252000484431010082877609011686212263622188329627069459212863479584430772496009851289407351922457188753560176243705203611835539631930759378550419028707009<179>
prime factors 素因数
634198689068189503494933639427079239<36>
composite cofactor 合成数の残り
82064102154789175866550552793866443209712475076572543936364483782047675864398926078705713272242189581383970764071835215958559947832351496245431<143>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:773541031
Step 1 took 1953ms
Step 2 took 1469ms
********** Factor found in step 2: 634198689068189503494933639427079239
Found prime factor of 36 digits: 634198689068189503494933639427079239
Composite cofactor 82064102154789175866550552793866443209712475076572543936364483782047675864398926078705713272242189581383970764071835215958559947832351496245431 has 143 digits
 
software ソフトウェア
GMP-ECM

c143

name 名前Eric Jeancolas
date 日付May 8, 2021 05:07:03 UTC 2021 年 5 月 8 日 (土) 14 時 7 分 3 秒 (日本時間)
composite number 合成数
82064102154789175866550552793866443209712475076572543936364483782047675864398926078705713272242189581383970764071835215958559947832351496245431<143>
prime factors 素因数
541236320893780436050386903976893910260853728194177<51>
151623420282051894025528688205373282752563204367518695674590868607675531762163429344464507703<93>
factorization results 素因数分解の結果
82064102154789175866550552793866443209712475076572543936364483782047675864398926078705713272242189581383970764071835215958559947832351496245431=541236320893780436050386903976893910260853728194177*151623420282051894025528688205373282752563204367518695674590868607675531762163429344464507703

cado polynomial
n: 82064102154789175866550552793866443209712475076572543936364483782047675864398926078705713272242189581383970764071835215958559947832351496245431
skew: 371958.727
c0: 1020353867203680086087457813969540
c1: -10738230390682104151309366333
c2: -85341581410371788387440
c3: 60792596968102199
c4: -125303081154
c5: 204120
Y0: -4227718091411911452629600126
Y1: 2788647050063953106491
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 2.164e-07
# f(x) = 204120*x^5-125303081154*x^4+60792596968102199*x^3-85341581410371788387440*x^2-10738230390682104151309366333*x+1020353867203680086087457813969540
# g(x) = 2788647050063953106491*x-4227718091411911452629600126

cado parameters (extracts)
tasks.lim0 = 10000000
tasks.lim1 = 20000000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 87
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 151623420282051894025528688205373282752563204367518695674590868607675531762163429344464507703 541236320893780436050386903976893910260853728194177
Info:Square Root: Total cpu/real time for sqrt: 13844.9/2017.09
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 76616.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 77217/44.240/51.489/56.740/0.921
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 63759/41.630/45.986/52.200/1.059
Info:Polynomial Selection (size optimized): Total time: 81784
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 8994.94
Info:Polynomial Selection (root optimized): Rootsieve time: 8973.3
Info:Generate Factor Base: Total cpu/real time for makefb: 22.98/3.15225
Info:Generate Free Relations: Total cpu/real time for freerel: 672.21/62.899
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 46667987
Info:Lattice Sieving: Average J: 3795.89 for 842688 special-q, max bucket fill -bkmult 1.0,1s:1.120380
Info:Lattice Sieving: Total time: 3.20142e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 188.77/482.406
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 480.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1581.96/1759.52
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1566.1s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1284.34/1492.61
Info:Filtering - Merging: Merged matrix has 3154587 rows and total weight 536352933 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 625.16/79.4543
Info:Filtering - Merging: Total cpu/real time for replay: 122.46/99.0289
Info:Linear Algebra: Total cpu/real time for bwc: 237892/52886.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 34495.88, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.08, comm-wait 0.0 (98816 iterations)
Info:Linear Algebra: Lingen CPU time 668.16, WCT time 150.23
Info:Linear Algebra: Mksol: WCT time 17922.29, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.08, comm-wait 0.0 (49664 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 147.43/40.2274
Info:Square Root: Total cpu/real time for sqrt: 13844.9/2017.09
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 5.29224e+06/702.108
151623420282051894025528688205373282752563204367518695674590868607675531762163429344464507703 541236320893780436050386903976893910260853728194177
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
3 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 16, 2021 16:35:21 UTC 2021 年 4 月 17 日 (土) 1 時 35 分 21 秒 (日本時間)
403e62350Ignacio SantosApril 16, 2021 16:45:38 UTC 2021 年 4 月 17 日 (土) 1 時 45 分 38 秒 (日本時間)
4511e64480Ignacio SantosApril 16, 2021 18:08:51 UTC 2021 年 4 月 17 日 (土) 3 時 8 分 51 秒 (日本時間)
5043e66454Ignacio SantosApril 17, 2021 20:25:49 UTC 2021 年 4 月 18 日 (日) 5 時 25 分 49 秒 (日本時間)

37×10258+539

c254

composite cofactor 合成数の残り
59179074279334827205100276542214672891665507076697679700457918080166853000778924572271244887807671207461041775628137890441939730111432597433547497604846926126921520550333402109014252560294679801222287799034261485138854900907039270913804878594928833164593<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 15, 2021 20:25:22 UTC 2021 年 4 月 16 日 (金) 5 時 25 分 22 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 7, 2022 22:59:13 UTC 2022 年 3 月 8 日 (火) 7 時 59 分 13 秒 (日本時間)

37×10261+539

c262

composite cofactor 合成数の残り
4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352iveliveJanuary 28, 2021 05:42:45 UTC 2021 年 1 月 28 日 (木) 14 時 42 分 45 秒 (日本時間)
4511e640001000Dmitry DomanovApril 21, 2021 11:47:21 UTC 2021 年 4 月 21 日 (水) 20 時 47 分 21 秒 (日本時間)
1000Dmitry DomanovJune 8, 2021 06:46:42 UTC 2021 年 6 月 8 日 (火) 15 時 46 分 42 秒 (日本時間)
1000Ignacio SantosJune 24, 2021 18:33:56 UTC 2021 年 6 月 25 日 (金) 3 時 33 分 56 秒 (日本時間)
1000Ignacio SantosJune 27, 2021 20:47:29 UTC 2021 年 6 月 28 日 (月) 5 時 47 分 29 秒 (日本時間)
5043e672001800Dmitry DomanovDecember 1, 2021 23:09:48 UTC 2021 年 12 月 2 日 (木) 8 時 9 分 48 秒 (日本時間)
1800Dmitry DomanovFebruary 10, 2022 05:35:31 UTC 2022 年 2 月 10 日 (木) 14 時 35 分 31 秒 (日本時間)
1800Dmitry DomanovApril 8, 2022 21:18:17 UTC 2022 年 4 月 9 日 (土) 6 時 18 分 17 秒 (日本時間)
1800Dmitry DomanovApril 29, 2022 23:17:21 UTC 2022 年 4 月 30 日 (土) 8 時 17 分 21 秒 (日本時間)

37×10262+539

c254

composite cofactor 合成数の残り
38417795843378708269086799079973241706159270435283338301278686879522103003983179604559607211662417684923518549266080284572566938007415816412237737551224343427697344447767386504323452927164476173191178638083324843545569320092152401401292592138428485532773<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 15, 2021 20:25:42 UTC 2021 年 4 月 16 日 (金) 5 時 25 分 42 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 7, 2022 08:45:25 UTC 2022 年 3 月 7 日 (月) 17 時 45 分 25 秒 (日本時間)

37×10263+539

c232

composite cofactor 合成数の残り
8032937322720953287733914654483351428008085630815364198154098204737632362361445097292840717920646255071116745202111626760888717696156362895070910067165008483027120657060674881185265782997820725434173761979211151832635632593524705457<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 15, 2021 20:25:56 UTC 2021 年 4 月 16 日 (金) 5 時 25 分 56 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 2, 2022 16:47:15 UTC 2022 年 3 月 3 日 (木) 1 時 47 分 15 秒 (日本時間)

37×10264+539

c254

composite cofactor 合成数の残り
12523173439024724887622997587941322692644479148618069095187364951236205793867872291882073463708119365325719075067320629372361719720209307992485577446066087919754375756180585124718656280114241385290219819450982493036952845340459818713440090037249972623247<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 15, 2021 20:26:08 UTC 2021 年 4 月 16 日 (金) 5 時 26 分 8 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 7, 2022 03:37:43 UTC 2022 年 3 月 7 日 (月) 12 時 37 分 43 秒 (日本時間)

37×10265+539

c201

name 名前Ignacio Santos
date 日付April 15, 2021 19:44:17 UTC 2021 年 4 月 16 日 (金) 4 時 44 分 17 秒 (日本時間)
composite number 合成数
117023541964115002587855490521842485229317614638463483229058684267242139304880457383544470330608017214433684833354502157296484967701343655556226470573099583392029015826794039131308856270651293931907717<201>
prime factors 素因数
5012059973030243735662787068237602372793<40>
23348392196784445776643714849555597745204368791666075839656628059865915306038369298600098550235348700175382684105898947145017794320230195126921090251170772545069<161>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3121072233
Step 1 took 3313ms
Step 2 took 1921ms
********** Factor found in step 2: 5012059973030243735662787068237602372793
Found prime factor of 40 digits: 5012059973030243735662787068237602372793
Prime cofactor 23348392196784445776643714849555597745204368791666075839656628059865915306038369298600098550235348700175382684105898947145017794320230195126921090251170772545069 has 161 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)

37×10266+539

c233

composite cofactor 合成数の残り
12329475247869481773532211457166932541523430408620299996145743563636435891662620748218438880062585688097206760845240391383311706115279259149041943046007253757398176971649952843609127065018991558712453343300389131747014348257397269183<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 15, 2021 20:26:27 UTC 2021 年 4 月 16 日 (金) 5 時 26 分 27 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 1, 2022 18:17:33 UTC 2022 年 3 月 2 日 (水) 3 時 17 分 33 秒 (日本時間)

37×10267+539

c252

composite cofactor 合成数の残り
202045247637034649542670162001215363342663712123213551313006283311222539665697322236993052342549489541318876826322373250085089036886102502698543548219134433510430438564152306132465535836876639426411645686423573932572582628237992373725836754389916393207<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 15, 2021 20:26:39 UTC 2021 年 4 月 16 日 (金) 5 時 26 分 39 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 7, 2022 10:00:11 UTC 2022 年 3 月 7 日 (月) 19 時 0 分 11 秒 (日本時間)

37×10268+539

c238

composite cofactor 合成数の残り
1906928199899990499348011944252726498134598165720014086463358228903144130525446208972841718676140606670247305007920147463301103684491273572649841275379090282033852738423789810009322779697236040607112356941547753914374952143427787300079899<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 15, 2021 20:26:50 UTC 2021 年 4 月 16 日 (金) 5 時 26 分 50 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 1, 2022 23:48:01 UTC 2022 年 3 月 2 日 (水) 8 時 48 分 1 秒 (日本時間)

37×10269+539

c235

name 名前Marlon Trifunovic
date 日付April 15, 2022 00:32:13 UTC 2022 年 4 月 15 日 (金) 9 時 32 分 13 秒 (日本時間)
composite number 合成数
9407629228941518351564009076778899360909519793839210332690199987575119777915053149341753539157446009944987019322603535277267590229323432133224352236635623951179342998651429492814401813061817148471739456163624175800240532933542821561737<235>
prime factors 素因数
98994502290823968599901202253199538717<38>
composite cofactor 合成数の残り
95031835215494926080459775352873114184019239826679157584472979527543388242825899593466279513861286815587447448220875897256102483584711039009973730518389961539272623594423610551889882452452234100061<197>
factorization results 素因数分解の結果
Run 428 out of 610:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3148154716
Step 1 took 24666ms
********** Factor found in step 1: 98994502290823968599901202253199538717
Found prime factor of 38 digits: 98994502290823968599901202253199538717
Composite cofactor 95031835215494926080459775352873114184019239826679157584472979527543388242825899593466279513861286815587447448220875897256102483584711039009973730518389961539272623594423610551889882452452234100061 has 197 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 15, 2021 20:27:01 UTC 2021 年 4 月 16 日 (金) 5 時 27 分 1 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 3, 2022 06:17:54 UTC 2022 年 3 月 3 日 (木) 15 時 17 分 54 秒 (日本時間)

37×10272+539

c234

composite cofactor 合成数の残り
220037934085445243675887838118629199136182938901735188007708292578740910412148752570452694864996435025107763686982534967949965563720536538920828153899882354512480063741433149829961386562652962769225624302454367076715230414860323353141<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 15, 2021 20:27:14 UTC 2021 年 4 月 16 日 (金) 5 時 27 分 14 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 3, 2022 11:22:42 UTC 2022 年 3 月 3 日 (木) 20 時 22 分 42 秒 (日本時間)

37×10275+539

c213

composite cofactor 合成数の残り
210773476314191986725159198951883105345321274319481785185112551524183897298661565444285274607397339854833073139974008906981584770259534181653799677333503753159568332183455109208849758439256239994776804031839362407<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 15, 2021 20:27:39 UTC 2021 年 4 月 16 日 (金) 5 時 27 分 39 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 22, 2022 03:31:14 UTC 2022 年 2 月 22 日 (火) 12 時 31 分 14 秒 (日本時間)

37×10277+539

c249

composite cofactor 合成数の残り
988161267397168685187236606390801159256887128352049494881269087041753083889805690585370338499929776249257876476697908901325738676546615889585327934138040884566369087546824958289556734527934078102307686573826221590572381000203700097265183817160268539<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 15, 2021 20:27:50 UTC 2021 年 4 月 16 日 (金) 5 時 27 分 50 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 4, 2022 22:35:37 UTC 2022 年 3 月 5 日 (土) 7 時 35 分 37 秒 (日本時間)

37×10278+539

c192

composite cofactor 合成数の残り
235159558472725399221593408011421277038803772883141453769250674029742007150875361191891222604539998677056087797425896869200109872373108435125742945479463770121500327303894485380598146228021571<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 15, 2021 20:28:02 UTC 2021 年 4 月 16 日 (金) 5 時 28 分 2 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 20, 2022 07:47:16 UTC 2022 年 2 月 20 日 (日) 16 時 47 分 16 秒 (日本時間)

37×10279+539

c218

composite cofactor 合成数の残り
29114920816499724036090101316556783899038916196887552046488281638721125137094478230688449428174514753910286403597359320591006557577940120101621349615595944824561769139581761281991437679127657125137625543644565768853989<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 15, 2021 20:28:15 UTC 2021 年 4 月 16 日 (金) 5 時 28 分 15 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 23, 2022 20:20:06 UTC 2022 年 2 月 24 日 (木) 5 時 20 分 6 秒 (日本時間)

37×10280+539

c256

composite cofactor 合成数の残り
2128212594487186841929909025843589615534680565782633077623298870317263876219392517503437649809142956216396941952558628517189132338509694332165499935615803984999718513999521868695454542378604907088774016847104738559259912279379300940966959964216030035001771<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 15, 2021 20:28:27 UTC 2021 年 4 月 16 日 (金) 5 時 28 分 27 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 7, 2022 04:51:02 UTC 2022 年 3 月 7 日 (月) 13 時 51 分 2 秒 (日本時間)

37×10281+539

c226

composite cofactor 合成数の残り
2444178171767785223652991189484642526657018902374066609672078119036271435326358882125703728407754479578109792036859389996369591704907337159597059391482276795204781726331819977348002436923241094603415002608631048295274538119287<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 15, 2021 20:28:38 UTC 2021 年 4 月 16 日 (金) 5 時 28 分 38 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 21, 2022 21:39:10 UTC 2022 年 2 月 22 日 (火) 6 時 39 分 10 秒 (日本時間)

37×10283+539

c264

composite cofactor 合成数の残り
123911893818679531814819910131694748098325066292793609106245562798979303648401338619696551425820387065662611463110906896105152681044800143615322319440585347661155789418018920645817896918053011070542233118470634826974177389524111028488710125231900682640119473166249<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 15, 2021 20:28:51 UTC 2021 年 4 月 16 日 (金) 5 時 28 分 51 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 7, 2022 10:39:35 UTC 2022 年 3 月 7 日 (月) 19 時 39 分 35 秒 (日本時間)

37×10284+539

c255

composite cofactor 合成数の残り
514702794064692945644715627724599195731893823406168168708896926087316740989850692929724769697815216436946069141414366548089929851407411566558804626294341839377272449657321635146453823728215957000920335857056659549196024490142688755562847860028301555466639<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 15, 2021 20:29:03 UTC 2021 年 4 月 16 日 (金) 5 時 29 分 3 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 7, 2022 23:41:32 UTC 2022 年 3 月 8 日 (火) 8 時 41 分 32 秒 (日本時間)

37×10285+539

c278

composite cofactor 合成数の残り
17764201011842072022244201916145528503994999087426587776925427407552552132323443883081769177550011241834553573824981006672315039236287692370375192950850468109093958719744614778982436904627131746911540377843336033487085997919674749040607235584437419355898676475370942815346463103<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 15, 2021 20:29:15 UTC 2021 年 4 月 16 日 (金) 5 時 29 分 15 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 28, 2022 23:31:50 UTC 2022 年 3 月 1 日 (火) 8 時 31 分 50 秒 (日本時間)

37×10286+539

c214

composite cofactor 合成数の残り
1524518413633696398221632702861115245798709827532467627083070762856876484463069365389618822083850135377239456461170905853366817857815274128798570410791387875578988889271968708404958915950148750445278569272437396229<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 15, 2021 20:29:29 UTC 2021 年 4 月 16 日 (金) 5 時 29 分 29 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 22, 2022 17:13:15 UTC 2022 年 2 月 23 日 (水) 2 時 13 分 15 秒 (日本時間)

37×10287+539

c244

composite cofactor 合成数の残り
2021187541637332873960784950675249373510940141301055198848617984922597471445355470552696444237881736688255695064651365424080978961654959023775931851401601075072034504816923023161582539665773083283876310582881181972737488045748994961654477714429<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 15, 2021 20:29:42 UTC 2021 年 4 月 16 日 (金) 5 時 29 分 42 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 3, 2022 01:35:22 UTC 2022 年 3 月 3 日 (木) 10 時 35 分 22 秒 (日本時間)

37×10288+539

c265

composite cofactor 合成数の残り
2063958019232036938375223883696374741684229286583482524411843038298958124874189476344880404105047197046973933164270005982874364463711556593539814688679267083113949391498208969981416689657213207193375378866983900869394472185208860868269060823467133675528085706902849<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 15, 2021 20:29:56 UTC 2021 年 4 月 16 日 (金) 5 時 29 分 56 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 7, 2022 16:12:42 UTC 2022 年 3 月 8 日 (火) 1 時 12 分 42 秒 (日本時間)

37×10292+539

c260

composite cofactor 合成数の残り
14593832526602226008139166336831081839233704386637527238604552083757916620987204930941623973373934265895802847552776248590325189313870980983210719941401343892566166948876220054667439659422186955733068320743158582990951895749966961079297465641175793336343603737<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 15, 2021 20:30:10 UTC 2021 年 4 月 16 日 (金) 5 時 30 分 10 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 7, 2022 06:18:34 UTC 2022 年 3 月 7 日 (月) 15 時 18 分 34 秒 (日本時間)

37×10293+539

c211

composite cofactor 合成数の残り
4172610849716464295358966772012718469560438670317745044462950086506013277721362696542351891223324152134550548371742891532412729977262246958348768384149917120747139469929848491060044963771722976134181486166726327<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 15, 2021 20:30:22 UTC 2021 年 4 月 16 日 (金) 5 時 30 分 22 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 22, 2022 04:52:05 UTC 2022 年 2 月 22 日 (火) 13 時 52 分 5 秒 (日本時間)

37×10294+539

c282

composite cofactor 合成数の残り
188573605313641499591937638013971421343911746954726701673681159263417649718154219193061271488495054633247701675071141133579930224950014052179018347905746933324688659394872337363690858492086311317898322453749693184396544174876167478614353419659003217214235361513539134493494286495709<282>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 15, 2021 20:30:33 UTC 2021 年 4 月 16 日 (金) 5 時 30 分 33 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 10, 2022 13:11:33 UTC 2022 年 3 月 10 日 (木) 22 時 11 分 33 秒 (日本時間)

37×10298+539

c292

composite cofactor 合成数の残り
1857292631658818877439984939264246976790663889903748720795974582257615794553075733571733407649133206799500135288709086899072906280416461027979445874534672272658509547862037070627261884380090158305233123280062315480800631467447460441712477416890258346041858165458801502216430280248943272023451<292>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosApril 15, 2021 20:30:47 UTC 2021 年 4 月 16 日 (金) 5 時 30 分 47 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 11, 2022 02:03:52 UTC 2022 年 3 月 11 日 (金) 11 時 3 分 52 秒 (日本時間)

37×10300+539

c270

composite cofactor 合成数の残り
406692065837463642301511904431053939535612236253455300108448807999675479681697500610778062992093695613696779436293306494782239871731168004424982538807089138961259608502780030890018897849208104664369943252262524898794721797030153546636377425359394155783648701780144443291<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 13, 2021 10:43:47 UTC 2021 年 1 月 13 日 (水) 19 時 43 分 47 秒 (日本時間)
4511e62000Dmitry DomanovApril 22, 2021 23:28:31 UTC 2021 年 4 月 23 日 (金) 8 時 28 分 31 秒 (日本時間)
5043e6640 / 7059Dmitry DomanovApril 29, 2021 20:59:34 UTC 2021 年 4 月 30 日 (金) 5 時 59 分 34 秒 (日本時間)