Table of contents 目次

25×10104+119

c94

name 名前Sinkiti Sibata
date 日付September 19, 2008 12:45:10 UTC 2008 年 9 月 19 日 (金) 21 時 45 分 10 秒 (日本時間)
composite number 合成数
1200535702179137783553330569598159007986633480577939579822794144056580555474363458076107706959<94>
prime factors 素因数
252854036142891231851223614578087693577960987<45>
4747939643331217537545944530363101682879932936157<49>
factorization results 素因数分解の結果
Fri Sep 19 16:36:13 2008  Msieve v. 1.36
Fri Sep 19 16:36:13 2008  random seeds: 58339ecb c2f9e10e
Fri Sep 19 16:36:13 2008  factoring 1200535702179137783553330569598159007986633480577939579822794144056580555474363458076107706959 (94 digits)
Fri Sep 19 16:36:14 2008  no P-1/P+1/ECM available, skipping
Fri Sep 19 16:36:14 2008  commencing quadratic sieve (94-digit input)
Fri Sep 19 16:36:14 2008  using multiplier of 5
Fri Sep 19 16:36:14 2008  using 64kb Pentium 4 sieve core
Fri Sep 19 16:36:14 2008  sieve interval: 18 blocks of size 65536
Fri Sep 19 16:36:14 2008  processing polynomials in batches of 6
Fri Sep 19 16:36:14 2008  using a sieve bound of 1991609 (73803 primes)
Fri Sep 19 16:36:14 2008  using large prime bound of 256917561 (27 bits)
Fri Sep 19 16:36:14 2008  using double large prime bound of 1372868018887893 (42-51 bits)
Fri Sep 19 16:36:14 2008  using trial factoring cutoff of 51 bits
Fri Sep 19 16:36:14 2008  polynomial 'A' values have 12 factors
Fri Sep 19 21:37:50 2008  74067 relations (18463 full + 55604 combined from 1027184 partial), need 73899
Fri Sep 19 21:37:54 2008  begin with 1045647 relations
Fri Sep 19 21:37:55 2008  reduce to 190511 relations in 10 passes
Fri Sep 19 21:37:55 2008  attempting to read 190511 relations
Fri Sep 19 21:38:01 2008  recovered 190511 relations
Fri Sep 19 21:38:01 2008  recovered 173085 polynomials
Fri Sep 19 21:38:01 2008  attempting to build 74067 cycles
Fri Sep 19 21:38:01 2008  found 74067 cycles in 5 passes
Fri Sep 19 21:38:01 2008  distribution of cycle lengths:
Fri Sep 19 21:38:01 2008     length 1 : 18463
Fri Sep 19 21:38:01 2008     length 2 : 13069
Fri Sep 19 21:38:01 2008     length 3 : 12697
Fri Sep 19 21:38:01 2008     length 4 : 10086
Fri Sep 19 21:38:01 2008     length 5 : 7424
Fri Sep 19 21:38:01 2008     length 6 : 5078
Fri Sep 19 21:38:01 2008     length 7 : 3085
Fri Sep 19 21:38:01 2008     length 9+: 4165
Fri Sep 19 21:38:01 2008  largest cycle: 19 relations
Fri Sep 19 21:38:02 2008  matrix is 73803 x 74067 (19.5 MB) with weight 4812420 (64.97/col)
Fri Sep 19 21:38:02 2008  sparse part has weight 4812420 (64.97/col)
Fri Sep 19 21:38:03 2008  filtering completed in 3 passes
Fri Sep 19 21:38:03 2008  matrix is 69969 x 70033 (18.5 MB) with weight 4577242 (65.36/col)
Fri Sep 19 21:38:03 2008  sparse part has weight 4577242 (65.36/col)
Fri Sep 19 21:38:04 2008  saving the first 48 matrix rows for later
Fri Sep 19 21:38:04 2008  matrix is 69921 x 70033 (11.8 MB) with weight 3620447 (51.70/col)
Fri Sep 19 21:38:04 2008  sparse part has weight 2665595 (38.06/col)
Fri Sep 19 21:38:04 2008  matrix includes 64 packed rows
Fri Sep 19 21:38:04 2008  using block size 21845 for processor cache size 512 kB
Fri Sep 19 21:38:05 2008  commencing Lanczos iteration
Fri Sep 19 21:38:05 2008  memory use: 11.2 MB
Fri Sep 19 21:38:59 2008  lanczos halted after 1107 iterations (dim = 69913)
Fri Sep 19 21:38:59 2008  recovered 12 nontrivial dependencies
Fri Sep 19 21:39:01 2008  prp45 factor: 252854036142891231851223614578087693577960987
Fri Sep 19 21:39:01 2008  prp49 factor: 4747939643331217537545944530363101682879932936157
Fri Sep 19 21:39:01 2008  elapsed time 05:02:48

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10108+119

c90

name 名前Sinkiti Sibata
date 日付September 19, 2008 07:32:59 UTC 2008 年 9 月 19 日 (金) 16 時 32 分 59 秒 (日本時間)
composite number 合成数
186028829952736151348531947356431309694958639565062282660203345428934749304330489787021417<90>
prime factors 素因数
853359707941802590369203380773573<33>
217995797342499960244508687999226483457599274315394828629<57>
factorization results 素因数分解の結果
Fri Sep 19 14:38:44 2008  Msieve v. 1.36
Fri Sep 19 14:38:44 2008  random seeds: e11317bc 9b0d859a
Fri Sep 19 14:38:44 2008  factoring 186028829952736151348531947356431309694958639565062282660203345428934749304330489787021417 (90 digits)
Fri Sep 19 14:38:45 2008  no P-1/P+1/ECM available, skipping
Fri Sep 19 14:38:45 2008  commencing quadratic sieve (90-digit input)
Fri Sep 19 14:38:46 2008  using multiplier of 1
Fri Sep 19 14:38:46 2008  using 64kb Pentium 4 sieve core
Fri Sep 19 14:38:46 2008  sieve interval: 18 blocks of size 65536
Fri Sep 19 14:38:46 2008  processing polynomials in batches of 6
Fri Sep 19 14:38:46 2008  using a sieve bound of 1572443 (59667 primes)
Fri Sep 19 14:38:46 2008  using large prime bound of 125795440 (26 bits)
Fri Sep 19 14:38:46 2008  using double large prime bound of 379661707918720 (42-49 bits)
Fri Sep 19 14:38:46 2008  using trial factoring cutoff of 49 bits
Fri Sep 19 14:38:46 2008  polynomial 'A' values have 11 factors
Fri Sep 19 16:27:20 2008  59783 relations (16226 full + 43557 combined from 632833 partial), need 59763
Fri Sep 19 16:27:22 2008  begin with 649059 relations
Fri Sep 19 16:27:23 2008  reduce to 145005 relations in 9 passes
Fri Sep 19 16:27:23 2008  attempting to read 145005 relations
Fri Sep 19 16:27:26 2008  recovered 145005 relations
Fri Sep 19 16:27:26 2008  recovered 120201 polynomials
Fri Sep 19 16:27:27 2008  attempting to build 59783 cycles
Fri Sep 19 16:27:27 2008  found 59783 cycles in 5 passes
Fri Sep 19 16:27:27 2008  distribution of cycle lengths:
Fri Sep 19 16:27:27 2008     length 1 : 16226
Fri Sep 19 16:27:27 2008     length 2 : 11495
Fri Sep 19 16:27:27 2008     length 3 : 10335
Fri Sep 19 16:27:27 2008     length 4 : 7992
Fri Sep 19 16:27:27 2008     length 5 : 5624
Fri Sep 19 16:27:27 2008     length 6 : 3481
Fri Sep 19 16:27:27 2008     length 7 : 2186
Fri Sep 19 16:27:27 2008     length 9+: 2444
Fri Sep 19 16:27:27 2008  largest cycle: 18 relations
Fri Sep 19 16:27:27 2008  matrix is 59667 x 59783 (14.6 MB) with weight 3583703 (59.95/col)
Fri Sep 19 16:27:27 2008  sparse part has weight 3583703 (59.95/col)
Fri Sep 19 16:27:28 2008  filtering completed in 3 passes
Fri Sep 19 16:27:28 2008  matrix is 55554 x 55618 (13.7 MB) with weight 3369862 (60.59/col)
Fri Sep 19 16:27:28 2008  sparse part has weight 3369862 (60.59/col)
Fri Sep 19 16:27:28 2008  saving the first 48 matrix rows for later
Fri Sep 19 16:27:29 2008  matrix is 55506 x 55618 (10.1 MB) with weight 2804439 (50.42/col)
Fri Sep 19 16:27:29 2008  sparse part has weight 2310918 (41.55/col)
Fri Sep 19 16:27:29 2008  matrix includes 64 packed rows
Fri Sep 19 16:27:29 2008  using block size 21845 for processor cache size 512 kB
Fri Sep 19 16:27:29 2008  commencing Lanczos iteration
Fri Sep 19 16:27:29 2008  memory use: 9.1 MB
Fri Sep 19 16:28:04 2008  lanczos halted after 879 iterations (dim = 55506)
Fri Sep 19 16:28:05 2008  recovered 17 nontrivial dependencies
Fri Sep 19 16:28:06 2008  prp33 factor: 853359707941802590369203380773573
Fri Sep 19 16:28:06 2008  prp57 factor: 217995797342499960244508687999226483457599274315394828629
Fri Sep 19 16:28:06 2008  elapsed time 01:49:22

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10109+119

c96

name 名前Sinkiti Sibata
date 日付September 19, 2008 22:06:06 UTC 2008 年 9 月 20 日 (土) 7 時 6 分 6 秒 (日本時間)
composite number 合成数
739034590097430011847178811447724966016948771754630731479696239768907048998575629325791633318557<96>
prime factors 素因数
8518541216079366642207800998712558843<37>
86756003328650734930201809343394393921066217104696711721799<59>
factorization results 素因数分解の結果
Fri Sep 19 21:48:34 2008  Msieve v. 1.36
Fri Sep 19 21:48:34 2008  random seeds: 6141f597 886cea6a
Fri Sep 19 21:48:34 2008  factoring 739034590097430011847178811447724966016948771754630731479696239768907048998575629325791633318557 (96 digits)
Fri Sep 19 21:48:36 2008  no P-1/P+1/ECM available, skipping
Fri Sep 19 21:48:36 2008  commencing quadratic sieve (96-digit input)
Fri Sep 19 21:48:36 2008  using multiplier of 5
Fri Sep 19 21:48:36 2008  using 64kb Pentium 4 sieve core
Fri Sep 19 21:48:36 2008  sieve interval: 18 blocks of size 65536
Fri Sep 19 21:48:36 2008  processing polynomials in batches of 6
Fri Sep 19 21:48:36 2008  using a sieve bound of 2298889 (84706 primes)
Fri Sep 19 21:48:36 2008  using large prime bound of 344833350 (28 bits)
Fri Sep 19 21:48:36 2008  using double large prime bound of 2331828631036500 (43-52 bits)
Fri Sep 19 21:48:36 2008  using trial factoring cutoff of 52 bits
Fri Sep 19 21:48:36 2008  polynomial 'A' values have 12 factors
Sat Sep 20 05:02:55 2008  84910 relations (21169 full + 63741 combined from 1268574 partial), need 84802
Sat Sep 20 05:03:00 2008  begin with 1289743 relations
Sat Sep 20 05:03:01 2008  reduce to 219896 relations in 10 passes
Sat Sep 20 05:03:01 2008  attempting to read 219896 relations
Sat Sep 20 05:03:09 2008  recovered 219896 relations
Sat Sep 20 05:03:09 2008  recovered 203990 polynomials
Sat Sep 20 05:03:09 2008  attempting to build 84910 cycles
Sat Sep 20 05:03:09 2008  found 84910 cycles in 6 passes
Sat Sep 20 05:03:09 2008  distribution of cycle lengths:
Sat Sep 20 05:03:09 2008     length 1 : 21169
Sat Sep 20 05:03:09 2008     length 2 : 14932
Sat Sep 20 05:03:09 2008     length 3 : 14313
Sat Sep 20 05:03:09 2008     length 4 : 11452
Sat Sep 20 05:03:09 2008     length 5 : 8668
Sat Sep 20 05:03:09 2008     length 6 : 5678
Sat Sep 20 05:03:09 2008     length 7 : 3710
Sat Sep 20 05:03:09 2008     length 9+: 4988
Sat Sep 20 05:03:09 2008  largest cycle: 21 relations
Sat Sep 20 05:03:10 2008  matrix is 84706 x 84910 (23.5 MB) with weight 5816551 (68.50/col)
Sat Sep 20 05:03:10 2008  sparse part has weight 5816551 (68.50/col)
Sat Sep 20 05:03:11 2008  filtering completed in 3 passes
Sat Sep 20 05:03:11 2008  matrix is 80313 x 80375 (22.4 MB) with weight 5547279 (69.02/col)
Sat Sep 20 05:03:11 2008  sparse part has weight 5547279 (69.02/col)
Sat Sep 20 05:03:12 2008  saving the first 48 matrix rows for later
Sat Sep 20 05:03:12 2008  matrix is 80265 x 80375 (16.9 MB) with weight 4712491 (58.63/col)
Sat Sep 20 05:03:12 2008  sparse part has weight 3959309 (49.26/col)
Sat Sep 20 05:03:12 2008  matrix includes 64 packed rows
Sat Sep 20 05:03:12 2008  using block size 21845 for processor cache size 512 kB
Sat Sep 20 05:03:13 2008  commencing Lanczos iteration
Sat Sep 20 05:03:13 2008  memory use: 14.7 MB
Sat Sep 20 05:04:34 2008  lanczos halted after 1270 iterations (dim = 80265)
Sat Sep 20 05:04:34 2008  recovered 18 nontrivial dependencies
Sat Sep 20 05:04:36 2008  prp37 factor: 8518541216079366642207800998712558843
Sat Sep 20 05:04:36 2008  prp59 factor: 86756003328650734930201809343394393921066217104696711721799
Sat Sep 20 05:04:36 2008  elapsed time 07:16:02

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10121+119

c122

name 名前Serge Batalov
date 日付September 19, 2008 06:23:25 UTC 2008 年 9 月 19 日 (金) 15 時 23 分 25 秒 (日本時間)
composite number 合成数
27777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<122>
prime factors 素因数
28281986806699176262127343626160011389591<41>
982172078914838963908547772788255008357011466169123485822865552044233331522856069<81>
factorization results 素因数分解の結果
Number: 27779_121
N=27777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
  ( 122 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=28281986806699176262127343626160011389591
 r2=982172078914838963908547772788255008357011466169123485822865552044233331522856069
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.728).
Factorization parameters were as follows:
n: 27777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
Y1: 1
Y0: -1000000000000000000000000
c5: 250
c0: 11
skew: 0.54
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 500001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 121099 x 121346
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,122,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 0.80 hours.
software ソフトウェア
Msieve-1.37
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10124+119

c125

name 名前Serge Batalov
date 日付September 19, 2008 07:06:55 UTC 2008 年 9 月 19 日 (金) 16 時 6 分 55 秒 (日本時間)
composite number 合成数
27777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<125>
prime factors 素因数
27794149819268048962266606788818980074038015727<47>
999410953686414922780705848621382863777285842485662131420022280753390278988477<78>
factorization results 素因数分解の結果
Number: 27779_124
N=27777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
  ( 125 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=27794149819268048962266606788818980074038015727
 r2=999410953686414922780705848621382863777285842485662131420022280753390278988477
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.180).
Factorization parameters were as follows:
n: 27777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
Y1: 1
Y0: -10000000000000000000000000
c5: 5
c0: 22
skew: 1.34
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 550001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 127050 x 127270
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,125,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.20 hours.
software ソフトウェア
Msieve-1.37
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 KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10126+119

c112

name 名前Jo Yeong Uk
date 日付September 19, 2008 11:48:46 UTC 2008 年 9 月 19 日 (金) 20 時 48 分 46 秒 (日本時間)
composite number 合成数
8420057077184058787598473132349406192030301923297927628502389558208977776558965593828185370809262511926494623933<112>
prime factors 素因数
5921234966250715563066349802636897<34>
1422010294334862352761456402011079915700506602156564668923988341467060275943389<79>
factorization results 素因数分解の結果
Number: 27779_126
N=8420057077184058787598473132349406192030301923297927628502389558208977776558965593828185370809262511926494623933
  ( 112 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=5921234966250715563066349802636897 (pp34)
 r2=1422010294334862352761456402011079915700506602156564668923988341467060275943389 (pp79)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.76 hours.
Scaled time: 4.04 units (timescale=2.292).
Factorization parameters were as follows:
n: 8420057077184058787598473132349406192030301923297927628502389558208977776558965593828185370809262511926494623933
m: 50000000000000000000000000
c5: 2
c0: 275
skew: 2.68
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [500000, 900001)
Primes: RFBsize:78498, AFBsize:78707, largePrimes:1558651 encountered
Relations: rels:1609975, finalFF:224099
Max relations in full relation-set: 28
Initial matrix: 157270 x 224099 with sparse part having weight 11295137.
Pruned matrix : 125906 x 126756 with weight 5116173.
Total sieving time: 1.70 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,128,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,46,46,2.2,2.2,50000
total time: 1.76 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: 8047092k/8912896k available (2460k kernel code, 339200k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.62 BogoMIPS (lpj=2673813)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.29 BogoMIPS (lpj=2672145)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)
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 KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10128+119

c107

name 名前Jo Yeong Uk
date 日付September 19, 2008 12:27:14 UTC 2008 年 9 月 19 日 (金) 21 時 27 分 14 秒 (日本時間)
composite number 合成数
68359753146519583856843073026007483494688797670717179829285121834152207820493624762386763326338142162099493<107>
prime factors 素因数
88835349405043160784533804171443167335437<41>
769510713970792550300555952851855989341577812582377543694990208889<66>
factorization results 素因数分解の結果
Number: 27779_128
N=68359753146519583856843073026007483494688797670717179829285121834152207820493624762386763326338142162099493
  ( 107 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=88835349405043160784533804171443167335437 (pp41)
 r2=769510713970792550300555952851855989341577812582377543694990208889 (pp66)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.51 hours.
Scaled time: 3.57 units (timescale=2.354).
Factorization parameters were as follows:
n: 68359753146519583856843073026007483494688797670717179829285121834152207820493624762386763326338142162099493
m: 100000000000000000000000000
c5: 1
c0: 44
skew: 2.13
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [500000, 850001)
Primes: RFBsize:78498, AFBsize:78087, largePrimes:1507905 encountered
Relations: rels:1540170, finalFF:207011
Max relations in full relation-set: 28
Initial matrix: 156649 x 207011 with sparse part having weight 9809048.
Pruned matrix : 130030 x 130877 with weight 4819028.
Total sieving time: 1.46 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,130,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,46,46,2.2,2.2,50000
total time: 1.51 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: 8047092k/8912896k available (2460k kernel code, 339200k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.62 BogoMIPS (lpj=2673813)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.29 BogoMIPS (lpj=2672145)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)
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 KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10131+119

c111

name 名前Sinkiti Sibata
date 日付September 19, 2008 14:20:39 UTC 2008 年 9 月 19 日 (金) 23 時 20 分 39 秒 (日本時間)
composite number 合成数
212668201035834491692037209728328759241937969007540092694188106330944785211386193946770471207640858090417208461<111>
prime factors 素因数
94380226647732964091537890550890669<35>
2253313099465234579424830713654498806792655361016665349309311724347507836769<76>
factorization results 素因数分解の結果
Number: 27779_131
N=212668201035834491692037209728328759241937969007540092694188106330944785211386193946770471207640858090417208461
  ( 111 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=94380226647732964091537890550890669 (pp35)
 r2=2253313099465234579424830713654498806792655361016665349309311724347507836769 (pp76)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 5.15 hours.
Scaled time: 4.02 units (timescale=0.781).
Factorization parameters were as follows:
name: 27779_131
n: 212668201035834491692037209728328759241937969007540092694188106330944785211386193946770471207640858090417208461
m: 100000000000000000000000000
c5: 250
c0: 11
skew: 0.54
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 1050001)
Primes: RFBsize:63951, AFBsize:64024, largePrimes:1524370 encountered
Relations: rels:1534771, finalFF:177835
Max relations in full relation-set: 28
Initial matrix: 128041 x 177835 with sparse part having weight 14394177.
Pruned matrix : 114549 x 115253 with weight 7529044.
Total sieving time: 5.01 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,132,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 5.15 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 KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10134+119

c81

name 名前Serge Batalov
date 日付September 19, 2008 05:15:50 UTC 2008 年 9 月 19 日 (金) 14 時 15 分 50 秒 (日本時間)
composite number 合成数
133424271118032401399678682893589251520170031584126003417413899923975037765352139<81>
prime factors 素因数
7464496412545245228296694969557118343<37>
17874517414703582293209008808015497997711773<44>
factorization results 素因数分解の結果
Thu Sep 18 21:24:45 2008  Msieve v. 1.37
Thu Sep 18 21:24:45 2008  random seeds: 8396dfb3 39287007
Thu Sep 18 21:24:45 2008  factoring 133424271118032401399678682893589251520170031584126003417413899923975037765352139 (81 digits)
Thu Sep 18 21:24:46 2008  searching for 15-digit factors
Thu Sep 18 21:24:46 2008  commencing quadratic sieve (81-digit input)
Thu Sep 18 21:24:46 2008  using multiplier of 3
Thu Sep 18 21:24:46 2008  using 64kb Opteron sieve core
Thu Sep 18 21:24:46 2008  sieve interval: 6 blocks of size 65536
Thu Sep 18 21:24:46 2008  processing polynomials in batches of 17
Thu Sep 18 21:24:46 2008  using a sieve bound of 1309421 (50122 primes)
Thu Sep 18 21:24:46 2008  using large prime bound of 129632679 (26 bits)
Thu Sep 18 21:24:46 2008  using trial factoring cutoff of 27 bits
Thu Sep 18 21:24:46 2008  polynomial 'A' values have 10 factors
Thu Sep 18 21:36:25 2008  50241 relations (25847 full + 24394 combined from 272444 partial), need 50218
Thu Sep 18 21:36:25 2008  begin with 298291 relations
Thu Sep 18 21:36:25 2008  reduce to 71651 relations in 2 passes
Thu Sep 18 21:36:25 2008  attempting to read 71651 relations
Thu Sep 18 21:36:26 2008  recovered 71651 relations
Thu Sep 18 21:36:26 2008  recovered 61361 polynomials
Thu Sep 18 21:36:26 2008  attempting to build 50241 cycles
Thu Sep 18 21:36:26 2008  found 50241 cycles in 1 passes
Thu Sep 18 21:36:26 2008  distribution of cycle lengths:
Thu Sep 18 21:36:26 2008     length 1 : 25847
Thu Sep 18 21:36:26 2008     length 2 : 24394
Thu Sep 18 21:36:26 2008  largest cycle: 2 relations
Thu Sep 18 21:36:26 2008  matrix is 50122 x 50241 (7.4 MB) with weight 1528596 (30.43/col)
Thu Sep 18 21:36:26 2008  sparse part has weight 1528596 (30.43/col)
Thu Sep 18 21:36:26 2008  filtering completed in 3 passes
Thu Sep 18 21:36:26 2008  matrix is 35603 x 35667 (5.7 MB) with weight 1215903 (34.09/col)
Thu Sep 18 21:36:26 2008  sparse part has weight 1215903 (34.09/col)
Thu Sep 18 21:36:26 2008  saving the first 48 matrix rows for later
Thu Sep 18 21:36:26 2008  matrix is 35555 x 35667 (4.1 MB) with weight 931931 (26.13/col)
Thu Sep 18 21:36:26 2008  sparse part has weight 707670 (19.84/col)
Thu Sep 18 21:36:26 2008  matrix includes 64 packed rows
Thu Sep 18 21:36:26 2008  using block size 14266 for processor cache size 1024 kB
Thu Sep 18 21:36:27 2008  commencing Lanczos iteration
Thu Sep 18 21:36:27 2008  memory use: 4.0 MB
Thu Sep 18 21:36:31 2008  lanczos halted after 564 iterations (dim = 35553)
Thu Sep 18 21:36:31 2008  recovered 16 nontrivial dependencies
Thu Sep 18 21:36:31 2008  prp37 factor: 7464496412545245228296694969557118343
Thu Sep 18 21:36:31 2008  prp44 factor: 17874517414703582293209008808015497997711773
Thu Sep 18 21:36:31 2008  elapsed time 00:11:46
software ソフトウェア
Msieve-1.37 QS
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10135+119

c100

name 名前Sinkiti Sibata
date 日付September 20, 2008 20:24:03 UTC 2008 年 9 月 21 日 (日) 5 時 24 分 3 秒 (日本時間)
composite number 合成数
1143109922622006640335934320858230741322564114655730564054913482556917003342965340126485297919563517<100>
prime factors 素因数
101760642791834943232640563376777<33>
11233320577193988996054868802362165629420963942890486212300213105621<68>
factorization results 素因数分解の結果
Sat Sep 20 16:03:00 2008  Msieve v. 1.36
Sat Sep 20 16:03:00 2008  random seeds: a78bf2a4 352f1807
Sat Sep 20 16:03:00 2008  factoring 1143109922622006640335934320858230741322564114655730564054913482556917003342965340126485297919563517 (100 digits)
Sat Sep 20 16:03:02 2008  no P-1/P+1/ECM available, skipping
Sat Sep 20 16:03:02 2008  commencing quadratic sieve (100-digit input)
Sat Sep 20 16:03:02 2008  using multiplier of 3
Sat Sep 20 16:03:02 2008  using 64kb Pentium 4 sieve core
Sat Sep 20 16:03:02 2008  sieve interval: 18 blocks of size 65536
Sat Sep 20 16:03:02 2008  processing polynomials in batches of 6
Sat Sep 20 16:03:02 2008  using a sieve bound of 2681729 (97571 primes)
Sat Sep 20 16:03:02 2008  using large prime bound of 402259350 (28 bits)
Sat Sep 20 16:03:02 2008  using double large prime bound of 3076883377187400 (43-52 bits)
Sat Sep 20 16:03:02 2008  using trial factoring cutoff of 52 bits
Sat Sep 20 16:03:02 2008  polynomial 'A' values have 13 factors
Sat Sep 20 16:03:06 2008  restarting with 8177 full and 518198 partial relations
Sun Sep 21 03:25:34 2008  97777 relations (23198 full + 74579 combined from 1477182 partial), need 97667
Sun Sep 21 03:25:39 2008  begin with 1500380 relations
Sun Sep 21 03:25:41 2008  reduce to 258871 relations in 12 passes
Sun Sep 21 03:25:41 2008  attempting to read 258871 relations
Sun Sep 21 03:25:50 2008  recovered 258871 relations
Sun Sep 21 03:25:50 2008  recovered 249493 polynomials
Sun Sep 21 03:25:50 2008  attempting to build 97777 cycles
Sun Sep 21 03:25:51 2008  found 97777 cycles in 6 passes
Sun Sep 21 03:25:51 2008  distribution of cycle lengths:
Sun Sep 21 03:25:51 2008     length 1 : 23198
Sun Sep 21 03:25:51 2008     length 2 : 16628
Sun Sep 21 03:25:51 2008     length 3 : 16331
Sun Sep 21 03:25:51 2008     length 4 : 13312
Sun Sep 21 03:25:51 2008     length 5 : 10105
Sun Sep 21 03:25:51 2008     length 6 : 7105
Sun Sep 21 03:25:51 2008     length 7 : 4567
Sun Sep 21 03:25:51 2008     length 9+: 6531
Sun Sep 21 03:25:51 2008  largest cycle: 22 relations
Sun Sep 21 03:25:51 2008  matrix is 97571 x 97777 (26.0 MB) with weight 6414114 (65.60/col)
Sun Sep 21 03:25:51 2008  sparse part has weight 6414114 (65.60/col)
Sun Sep 21 03:25:53 2008  filtering completed in 3 passes
Sun Sep 21 03:25:53 2008  matrix is 93701 x 93765 (25.0 MB) with weight 6179719 (65.91/col)
Sun Sep 21 03:25:53 2008  sparse part has weight 6179719 (65.91/col)
Sun Sep 21 03:25:54 2008  saving the first 48 matrix rows for later
Sun Sep 21 03:25:54 2008  matrix is 93653 x 93765 (13.8 MB) with weight 4676238 (49.87/col)
Sun Sep 21 03:25:54 2008  sparse part has weight 3067094 (32.71/col)
Sun Sep 21 03:25:54 2008  matrix includes 64 packed rows
Sun Sep 21 03:25:54 2008  using block size 21845 for processor cache size 512 kB
Sun Sep 21 03:25:55 2008  commencing Lanczos iteration
Sun Sep 21 03:25:55 2008  memory use: 14.5 MB
Sun Sep 21 03:27:25 2008  lanczos halted after 1482 iterations (dim = 93647)
Sun Sep 21 03:27:25 2008  recovered 15 nontrivial dependencies
Sun Sep 21 03:27:28 2008  prp33 factor: 101760642791834943232640563376777
Sun Sep 21 03:27:28 2008  prp68 factor: 11233320577193988996054868802362165629420963942890486212300213105621
Sun Sep 21 03:27:28 2008  elapsed time 11:24:28

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10136+119

c137

name 名前Serge Batalov
date 日付September 19, 2008 09:45:48 UTC 2008 年 9 月 19 日 (金) 18 時 45 分 48 秒 (日本時間)
composite number 合成数
27777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<137>
prime factors 素因数
49939563665725420108333887821126316151365501830209825661485480290103<68>
556227883041001713698169637988173699800671023277860382280971907619493<69>
factorization results 素因数分解の結果
Number: 27779_136
N=27777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
  ( 137 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=49939563665725420108333887821126316151365501830209825661485480290103
 r2=556227883041001713698169637988173699800671023277860382280971907619493
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.731).
Factorization parameters were as follows:
n: 27777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
Y1: 1
Y0: -1000000000000000000000000000
c5: 250
c0: 11
skew: 0.54
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [500000, 1550001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 142483 x 142700
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,137,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 4.00 hours.
software ソフトウェア
Msieve-1.37
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 KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10137+119

c134

name 名前Sinkiti Sibata
date 日付September 19, 2008 07:41:37 UTC 2008 年 9 月 19 日 (金) 16 時 41 分 37 秒 (日本時間)
composite number 合成数
52401014483640403278207466096543629084659078999769435536271982225575887149175208032027500052401014483640403278207466096543629084659079<134>
prime factors 素因数
161921640164388497483372857632347906673665639<45>
323619588033082331955512247873525202849766126106862528717344406156559958159975949812820961<90>
factorization results 素因数分解の結果
Number: 27779_137
N=52401014483640403278207466096543629084659078999769435536271982225575887149175208032027500052401014483640403278207466096543629084659079
  ( 134 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=161921640164388497483372857632347906673665639 (pp45)
 r2=323619588033082331955512247873525202849766126106862528717344406156559958159975949812820961 (pp90)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 5.21 hours.
Scaled time: 5.25 units (timescale=1.008).
Factorization parameters were as follows:
name: 27779_137
n: 52401014483640403278207466096543629084659078999769435536271982225575887149175208032027500052401014483640403278207466096543629084659079
m: 5000000000000000000000000000
c5: 4
c0: 55
skew: 1.69
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1075001)
Primes: RFBsize:78498, AFBsize:63994, largePrimes:1557289 encountered
Relations: rels:1578648, finalFF:193359
Max relations in full relation-set: 28
Initial matrix: 142556 x 193359 with sparse part having weight 14877974.
Pruned matrix : 126678 x 127454 with weight 8126953.
Total sieving time: 5.09 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,139,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 5.21 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10139+119

c132

name 名前Sinkiti Sibata
date 日付September 19, 2008 10:40:10 UTC 2008 年 9 月 19 日 (金) 19 時 40 分 10 秒 (日本時間)
composite number 合成数
742999796950043490304314795675635378579661200235868554740897886188462070872331423725779198524157510524138893921226513631533448720013<132>
prime factors 素因数
209083018584969192252595113529<30>
3553611393113190589659808998064869756016200551109239594585632907970680199445429803699384634763303281397<103>
factorization results 素因数分解の結果
Number: 27779_139
N=742999796950043490304314795675635378579661200235868554740897886188462070872331423725779198524157510524138893921226513631533448720013
  ( 132 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=209083018584969192252595113529 (pp30)
 r2=3553611393113190589659808998064869756016200551109239594585632907970680199445429803699384634763303281397 (pp103)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 10.10 hours.
Scaled time: 10.19 units (timescale=1.009).
Factorization parameters were as follows:
name: 27779_137
n: 742999796950043490304314795675635378579661200235868554740897886188462070872331423725779198524157510524138893921226513631533448720013
m: 10000000000000000000000000000
c5: 5
c0: 22
skew: 1.34
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 1950001)
Primes: RFBsize:100021, AFBsize:100104, largePrimes:2894835 encountered
Relations: rels:2976696, finalFF:348480
Max relations in full relation-set: 28
Initial matrix: 200190 x 348480 with sparse part having weight 35375015.
Pruned matrix : 163148 x 164212 with weight 16176754.
Total sieving time: 9.88 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 10.10 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10142+119

c104

name 名前Jo Yeong Uk
date 日付September 19, 2008 18:15:08 UTC 2008 年 9 月 20 日 (土) 3 時 15 分 8 秒 (日本時間)
composite number 合成数
10742070651564186516675552053776763874950710443051540573202381782044493421278783011980786156993846236931<104>
prime factors 素因数
17100579543785749444125700728983<32>
628169976582331219460679003133833163982380481247619650573495514275530357<72>
factorization results 素因数分解の結果
Number: 27779_142
N=10742070651564186516675552053776763874950710443051540573202381782044493421278783011980786156993846236931
  ( 104 digits)
Divisors found:
 r1=17100579543785749444125700728983 (pp32)
 r2=628169976582331219460679003133833163982380481247619650573495514275530357 (pp72)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 4.95 hours.
Scaled time: 11.79 units (timescale=2.380).
Factorization parameters were as follows:
name: 27779_142
n: 10742070651564186516675552053776763874950710443051540573202381782044493421278783011980786156993846236931
skew: 25644.16
# norm 4.05e+14
c5: 4200
c4: 237417580
c3: -22938014228706
c2: -99292987080815543
c1: 3491001841126376848650
c0: -7512869258041779422968325
# alpha -6.19
Y1: 6826139641
Y0: -76132011157515595038
# Murphy_E 2.31e-09
# M 2345490416613929445046528387112026856772247017840236364780300929704505961959466593458521683729229215729
type: gnfs
rlim: 1600000
alim: 1600000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [800000, 1550001)
Primes: RFBsize:121127, AFBsize:120508, largePrimes:4424323 encountered
Relations: rels:4365416, finalFF:305834
Max relations in full relation-set: 28
Initial matrix: 241714 x 305834 with sparse part having weight 26506673.
Pruned matrix : 208289 x 209561 with weight 15361234.
Polynomial selection time: 0.39 hours.
Total sieving time: 4.29 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1600000,1600000,26,26,49,49,2.6,2.6,50000
total time: 4.95 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: 8047092k/8912896k available (2460k kernel code, 339200k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343)
Calibrating delay using timer specific routine.. 5344.63 BogoMIPS (lpj=2672318)
Calibrating delay using timer specific routine.. 5344.71 BogoMIPS (lpj=2672355)
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 KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10144+119

c124

name 名前Sinkiti Sibata
date 日付September 19, 2008 20:19:25 UTC 2008 年 9 月 20 日 (土) 5 時 19 分 25 秒 (日本時間)
composite number 合成数
2294069293066095745670137846707089174646054183142057512760829022119782349751523968362806955211662464140409618998272826924209<124>
prime factors 素因数
6555616797040220553503787469828621<34>
73975542567038708308894989343115810707013<41>
4730475671659868972131894097385159232743234787633<49>
factorization results 素因数分解の結果
Number: 27779_144
N=2294069293066095745670137846707089174646054183142057512760829022119782349751523968362806955211662464140409618998272826924209
  ( 124 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=6555616797040220553503787469828621 (pp34)
 r2=73975542567038708308894989343115810707013 (pp41)
 r3=4730475671659868972131894097385159232743234787633 (pp49)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 16.88 hours.
Scaled time: 17.02 units (timescale=1.008).
Factorization parameters were as follows:
name: 27779_144
n: 2294069293066095745670137846707089174646054183142057512760829022119782349751523968362806955211662464140409618998272826924209
m: 100000000000000000000000000000
c5: 5
c0: 22
skew: 1.34
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 3150001)
Primes: RFBsize:100021, AFBsize:100104, largePrimes:3076799 encountered
Relations: rels:3208992, finalFF:311014
Max relations in full relation-set: 28
Initial matrix: 200190 x 311014 with sparse part having weight 39232556.
Pruned matrix : 176682 x 177746 with weight 22487174.
Total sieving time: 16.56 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 16.88 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10145+119

c141

name 名前Serge Batalov
date 日付September 19, 2008 20:23:30 UTC 2008 年 9 月 20 日 (土) 5 時 23 分 30 秒 (日本時間)
composite number 合成数
710084045547631017607243993399058712589222060323059837362350207770591727236835751879592468564579303606374850527308412223670793675139389498141<141>
prime factors 素因数
22018123084442256945601181842870458576967444925337048195952914377<65>
32249980746513672256233897182103678492771023523845280466382534623925440318133<77>
factorization results 素因数分解の結果
Number: 27779_145
N=710084045547631017607243993399058712589222060323059837362350207770591727236835751879592468564579303606374850527308412223670793675139389498141
  ( 141 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=22018123084442256945601181842870458576967444925337048195952914377
 r2=32249980746513672256233897182103678492771023523845280466382534623925440318133
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.723).
Factorization parameters were as follows:
n: 710084045547631017607243993399058712589222060323059837362350207770591727236835751879592468564579303606374850527308412223670793675139389498141
Y1: 1
Y0: -100000000000000000000000000000
c5: 25
c0: 11
skew: 0.85
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved rational special-q in [750000, 1950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 217022 x 217241
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,146,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 4.90 hours.
software ソフトウェア
Msieve 1.37
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 KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10146+119

c123

name 名前Sinkiti Sibata
date 日付September 20, 2008 04:12:40 UTC 2008 年 9 月 20 日 (土) 13 時 12 分 40 秒 (日本時間)
composite number 合成数
121727113028212068940104061530922353894609120636416006266835333908723404409672394991179681058140998472858620222918925266213<123>
prime factors 素因数
217157733583248726770838103900749061<36>
560546985914951290774332227279129798735530007314797011598600521856481772063274777635233<87>
factorization results 素因数分解の結果
Number: 27779_146
N=121727113028212068940104061530922353894609120636416006266835333908723404409672394991179681058140998472858620222918925266213
  ( 123 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=217157733583248726770838103900749061 (pp36)
 r2=560546985914951290774332227279129798735530007314797011598600521856481772063274777635233 (pp87)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 15.59 hours.
Scaled time: 15.71 units (timescale=1.008).
Factorization parameters were as follows:
name: 27779_146
n: 121727113028212068940104061530922353894609120636416006266835333908723404409672394991179681058140998472858620222918925266213
m: 100000000000000000000000000000
c5: 250
c0: 11
skew: 0.54
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 2850001)
Primes: RFBsize:114155, AFBsize:114243, largePrimes:2880134 encountered
Relations: rels:2875007, finalFF:270616
Max relations in full relation-set: 28
Initial matrix: 228464 x 270616 with sparse part having weight 29150397.
Pruned matrix : 215839 x 217045 with weight 21581657.
Total sieving time: 15.19 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.29 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 15.59 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10149+119

c149

name 名前Serge Batalov
date 日付September 20, 2008 08:12:08 UTC 2008 年 9 月 20 日 (土) 17 時 12 分 8 秒 (日本時間)
composite number 合成数
92592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592593<149>
prime factors 素因数
89422569745722268375593254754751733693202109<44>
284115817265519624811828721956934316858888334641<48>
3644464179724676150814281014736489200665629737281618159797<58>
factorization results 素因数分解の結果
SNFS difficulty: 150 digits.
Divisors found:
 r1=89422569745722268375593254754751733693202109
 r2=284115817265519624811828721956934316858888334641
 r3=3644464179724676150814281014736489200665629737281618159797
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.726).
Factorization parameters were as follows:
n: 92592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592593
Y1: 1
Y0: -1000000000000000000000000000000
c5: 5
c0: 22
skew: 1.34
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [1200000, 1800001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 451014 x 451254
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,150,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,54,54,2.5,2.5,100000
total time: 9.50 hours.
software ソフトウェア
Msieve-1.37
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 KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10153+119

c121

name 名前Sinkiti Sibata
date 日付September 20, 2008 04:18:08 UTC 2008 年 9 月 20 日 (土) 13 時 18 分 8 秒 (日本時間)
composite number 合成数
8014216405156462018926099823156586249159542824660379557516458721325017323013340800025073267558580653489159472339843971887<121>
prime factors 素因数
17089294561179909609497895907997512028577048257<47>
468961218759818144911743241615271591080346751331129510155707954444981636591<75>
factorization results 素因数分解の結果
Number: 27779_153
N=8014216405156462018926099823156586249159542824660379557516458721325017323013340800025073267558580653489159472339843971887
  ( 121 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=17089294561179909609497895907997512028577048257 (pp47)
 r2=468961218759818144911743241615271591080346751331129510155707954444981636591 (pp75)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 25.53 hours.
Scaled time: 19.99 units (timescale=0.783).
Factorization parameters were as follows:
name: 27779_153
n: 8014216405156462018926099823156586249159542824660379557516458721325017323013340800025073267558580653489159472339843971887
m: 5000000000000000000000000000000
c5: 8
c0: 11
skew: 1.07
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2100001)
Primes: RFBsize:176302, AFBsize:175424, largePrimes:5471494 encountered
Relations: rels:5387090, finalFF:488774
Max relations in full relation-set: 28
Initial matrix: 351791 x 488774 with sparse part having weight 42592876.
Pruned matrix : 290759 x 292581 with weight 23002981.
Total sieving time: 24.47 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.86 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 25.53 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 KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10155+119

c100

name 名前Sinkiti Sibata
date 日付September 19, 2008 11:15:53 UTC 2008 年 9 月 19 日 (金) 20 時 15 分 53 秒 (日本時間)
composite number 合成数
4196253108776653175638038416478924297372907360500066045972590132987812392925813812223693780032153143<100>
prime factors 素因数
18085812322923420183023124569529108930833<41>
232019056365966092443217013695946993609084795707320945808071<60>
factorization results 素因数分解の結果
Number: 27779_155
N=4196253108776653175638038416478924297372907360500066045972590132987812392925813812223693780032153143
  ( 100 digits)
Divisors found:
 r1=18085812322923420183023124569529108930833 (pp41)
 r2=232019056365966092443217013695946993609084795707320945808071 (pp60)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 7.29 hours.
Scaled time: 5.71 units (timescale=0.784).
Factorization parameters were as follows:
name: 27779_155
n: 4196253108776653175638038416478924297372907360500066045972590132987812392925813812223693780032153143
skew: 2549.76
# norm 8.24e+13
c5: 708000
c4: 19166104
c3: -4074259275762
c2: -16901136602923433
c1: 32379437717701640298
c0: 46739428509995733823168
# alpha -6.81
Y1: 50409368801
Y0: -5682843064049718825
# Murphy_E 3.68e-09
# M 1027250211033138229216287220548871958441136017879058543953306680295155783875246280193616482926558222
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1400001)
Primes: RFBsize:135072, AFBsize:135060, largePrimes:4208119 encountered
Relations: rels:4572216, finalFF:675038
Max relations in full relation-set: 28
Initial matrix: 270217 x 675038 with sparse part having weight 54174360.
Pruned matrix : 135288 x 136703 with weight 15301062.
Total sieving time: 6.89 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 7.29 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 KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10157+119

c123

name 名前Sinkiti Sibata
date 日付September 21, 2008 21:48:36 UTC 2008 年 9 月 22 日 (月) 6 時 48 分 36 秒 (日本時間)
composite number 合成数
109297359015751382757590584761681435097761745318418345552443725745543683153018309251137026627824848955651477944234904315267<123>
prime factors 素因数
1324246518820340916190100054706676378801923457295730611749<58>
82535507900081281232126800634121927761333411590662336194211534983<65>
factorization results 素因数分解の結果
Number: 27779_157
N=109297359015751382757590584761681435097761745318418345552443725745543683153018309251137026627824848955651477944234904315267
  ( 123 digits)
Divisors found:
 r1=1324246518820340916190100054706676378801923457295730611749 (pp58)
 r2=82535507900081281232126800634121927761333411590662336194211534983 (pp65)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 82.43 hours.
Scaled time: 83.18 units (timescale=1.009).
Factorization parameters were as follows:
name: 27779_157
n: 109297359015751382757590584761681435097761745318418345552443725745543683153018309251137026627824848955651477944234904315267
skew: 62000.91
# norm 9.42e+15
c5: 1560
c4: 1495301999
c3: -237801306897353
c2: -6516794873467408648
c1: 46696468715858655525789
c0: 428876002410578610703489620
# alpha -4.43
Y1: 11440970936461
Y0: -587618408973170623261291
# Murphy_E 2.39e-10
# M 100730276207215881327981099032047925236957950976150459045887497600095574624645597788010714685658071890436466215979834840367
type: gnfs
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2500000, 5440001)
Primes: RFBsize:348513, AFBsize:348010, largePrimes:7962731 encountered
Relations: rels:8330423, finalFF:925608
Max relations in full relation-set: 28
Initial matrix: 696602 x 925608 with sparse part having weight 90657732.
Pruned matrix : 519652 x 523199 with weight 62536167.
Total sieving time: 79.00 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 2.92 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
gnfs,122,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5000000,5000000,27,27,50,50,2.4,2.4,60000
total time: 82.43 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10158+119

c151

name 名前Serge Batalov
date 日付September 20, 2008 20:28:33 UTC 2008 年 9 月 21 日 (日) 5 時 28 分 33 秒 (日本時間)
composite number 合成数
1265711786052123537291755711705811059148731331941557665959847133426148586146192857342235679715462077090018193295647088925848584354096853706755005734811<151>
prime factors 素因数
137389628695179787605418180755763657877<39>
9212571560698381077396463062817283198373662941165977110800670318580503998459757629198423949102641490029724479343<112>
factorization results 素因数分解の結果
SNFS difficulty: 159 digits.
Divisors found:
 r1=137389628695179787605418180755763657877
 r2=9212571560698381077396463062817283198373662941165977110800670318580503998459757629198423949102641490029724479343
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.720).
Factorization parameters were as follows:
n: 1265711786052123537291755711705811059148731331941557665959847133426148586146192857342235679715462077090018193295647088925848584354096853706755005734811
Y1: 1
Y0: -50000000000000000000000000000000
c5: 8
c0: 11
skew: 1.07
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [2000000, 2800001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 648365 x 648613
Total sieving time: 12.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 1.50 hours.
Time per square root: 0.50 hours.
Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,54,54,2.5,2.5,100000
total time: 14.00 hours.
software ソフトウェア
Msieve-1.37
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 KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10159+119

c159

name 名前Serge Batalov
date 日付September 20, 2008 23:37:07 UTC 2008 年 9 月 21 日 (日) 8 時 37 分 7 秒 (日本時間)
composite number 合成数
396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825397<159>
prime factors 素因数
2657780922364980442038543388644686126602807<43>
149307037869881540490495888397203652439490230060489375653475306412910625822390022203824618445561134554266447970512371<117>
factorization results 素因数分解の結果
SNFS difficulty: 160 digits.
Divisors found:
 r1=2657780922364980442038543388644686126602807
 r2=149307037869881540490495888397203652439490230060489375653475306412910625822390022203824618445561134554266447970512371
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.703).
Factorization parameters were as follows:
n: 396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825397
Y1: 1
Y0: -100000000000000000000000000000000
c5: 5
c0: 22
skew: 1.34
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [2000000, 3200001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 715410 x 715658
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,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,54,54,2.5,2.5,100000
total time: 19.00 hours.
software ソフトウェア
Msieve-1.37
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 KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10162+119

c163

name 名前Serge Batalov
date 日付September 19, 2008 06:20:38 UTC 2008 年 9 月 19 日 (金) 15 時 20 分 38 秒 (日本時間)
composite number 合成数
2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<163>
prime factors 素因数
956996067485339718144137108196685667<36>
composite cofactor 合成数の残り
2902601036884961627173699119809625917037467027349604362385456802139104947986390088924478788941052925770284265498185067416124337<127>
factorization results 素因数分解の結果
Using B1=3000000, B2=23415979870, polynomial Dickson(12), sigma=3570635795
Step 1 took 21809ms
Step 2 took 19409ms
********** Factor found in step 2: 956996067485339718144137108196685667
Found probable prime factor of 36 digits: 956996067485339718144137108196685667
Composite cofactor 2902601036884961627173699119809625917037467027349604362385456802139104947986390088924478788941052925770284265498185067416124337 has 127 digits
software ソフトウェア
GMP-ECM 6.2.1

c127

name 名前Sinkiti Sibata
date 日付September 24, 2008 07:02:01 UTC 2008 年 9 月 24 日 (水) 16 時 2 分 1 秒 (日本時間)
composite number 合成数
2902601036884961627173699119809625917037467027349604362385456802139104947986390088924478788941052925770284265498185067416124337<127>
prime factors 素因数
82764568509156828642850056701654905874238953<44>
35070575358147688261227157636411129948137439908546697720503815691536272272514529929<83>
factorization results 素因数分解の結果
Number: 27779_162
N=2902601036884961627173699119809625917037467027349604362385456802139104947986390088924478788941052925770284265498185067416124337
  ( 127 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=82764568509156828642850056701654905874238953 (pp44)
 r2=35070575358147688261227157636411129948137439908546697720503815691536272272514529929 (pp83)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 61.07 hours.
Scaled time: 47.63 units (timescale=0.780).
Factorization parameters were as follows:
name: 27779_162
n: 2902601036884961627173699119809625917037467027349604362385456802139104947986390088924478788941052925770284265498185067416124337
m: 500000000000000000000000000000000
c5: 4
c0: 55
skew: 1.69
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2250000, 4150001)
Primes: RFBsize:315948, AFBsize:315287, largePrimes:5705479 encountered
Relations: rels:5818145, finalFF:746133
Max relations in full relation-set: 28
Initial matrix: 631299 x 746133 with sparse part having weight 43557527.
Pruned matrix : 536894 x 540114 with weight 29054475.
Total sieving time: 58.07 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 2.71 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000
total time: 61.07 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 KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10164+119

c144

name 名前anonymous
date 日付September 19, 2008 08:57:46 UTC 2008 年 9 月 19 日 (金) 17 時 57 分 46 秒 (日本時間)
composite number 合成数
230273983343325847520474402702127170340777004798958820095817677549008342383184157970938223756549950521498102500948013368207088201076600608739551<144>
prime factors 素因数
2530290505519396636552217573611<31>
91006934911632667105331373545676803276176580669962007769491107333139904850733355058121735195657525624018987256541<113>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 230273983343325847520474402702127170340777004798958820095817677549008342383184157970938223756549950521498102500948013368207088201076600608739551 (144 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=808694177
Step 1 took 4610ms
Step 2 took 2619ms
********** Factor found in step 2: 2530290505519396636552217573611
Found probable prime factor of 31 digits: 2530290505519396636552217573611
Probable prime cofactor 91006934911632667105331373545676803276176580669962007769491107333139904850733355058121735195657525624018987256541 has 113 digits
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 KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10165+119

c120

name 名前Sinkiti Sibata
date 日付September 22, 2008 22:58:40 UTC 2008 年 9 月 23 日 (火) 7 時 58 分 40 秒 (日本時間)
composite number 合成数
337806780440789045113039137220969559081629068252855899137979087861381973412324924977923686904046145934723285022276102217<120>
prime factors 素因数
16074984290793976464998006648109533726617375552718845662617<59>
21014439226186271746727555583827699417119049826464020217738801<62>
factorization results 素因数分解の結果
Number: 27779_165
N=337806780440789045113039137220969559081629068252855899137979087861381973412324924977923686904046145934723285022276102217
  ( 120 digits)
Divisors found:
 r1=16074984290793976464998006648109533726617375552718845662617 (pp59)
 r2=21014439226186271746727555583827699417119049826464020217738801 (pp62)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 64.36 hours.
Scaled time: 49.49 units (timescale=0.769).
Factorization parameters were as follows:
name: 27779_165
n: 337806780440789045113039137220969559081629068252855899137979087861381973412324924977923686904046145934723285022276102217
skew: 95898.23
# norm 1.67e+16
c5: 30060
c4: -74717654
c3: -705030454434139
c2: 8050922963625462632
c1: 3155243119129826402614188
c0: -64504785277031888812155507520
# alpha -5.98
Y1: 7426006963723
Y0: -102361323587563003671847
# Murphy_E 3.18e-10
# M 285492000409818898872953286248517410567252442636728159563327865228391630836454600444674685956951115206410069923986873559
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2250000, 4110001)
Primes: RFBsize:315948, AFBsize:316989, largePrimes:7774050 encountered
Relations: rels:7972494, finalFF:848401
Max relations in full relation-set: 28
Initial matrix: 633016 x 848401 with sparse part having weight 71702901.
Pruned matrix : 457851 x 461080 with weight 42942460.
Total sieving time: 60.49 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 3.08 hours.
Time per square root: 0.36 hours.
Prototype def-par.txt line would be:
gnfs,119,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 64.36 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 KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10168+119

c107

name 名前Sinkiti Sibata
date 日付September 20, 2008 20:17:36 UTC 2008 年 9 月 21 日 (日) 5 時 17 分 36 秒 (日本時間)
composite number 合成数
19213953492832071691888356432134441574295306649176679790741819525345351703318048554011557238677581592520477<107>
prime factors 素因数
99636796677422281629691745530908874418949017<44>
192839935983067964860238605035402472643939209453310925694585381<63>
factorization results 素因数分解の結果
Number: 27779_168
N=19213953492832071691888356432134441574295306649176679790741819525345351703318048554011557238677581592520477
  ( 107 digits)
Divisors found:
 r1=99636796677422281629691745530908874418949017 (pp44)
 r2=192839935983067964860238605035402472643939209453310925694585381 (pp63)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 19.68 hours.
Scaled time: 15.17 units (timescale=0.771).
Factorization parameters were as follows:
name: 27779_168
n: 19213953492832071691888356432134441574295306649176679790741819525345351703318048554011557238677581592520477
skew: 9817.78
# norm 1.43e+14
c5: 6840
c4: -1293420660
c3: 965728069439
c2: 125523965749091149
c1: 284947326891434748589
c0: -4579311507562674711556
# alpha -4.62
Y1: 7631626717
Y0: -308825058652731342747
# Murphy_E 1.46e-09
# M 17111148031494828095272157669907087589765217394301232366704600631807007446817858694000563667479322053158049
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: RFBsize:183072, AFBsize:183200, largePrimes:4619239 encountered
Relations: rels:4875921, finalFF:565343
Max relations in full relation-set: 28
Initial matrix: 366351 x 565343 with sparse part having weight 48074444.
Pruned matrix : 245460 x 247355 with weight 26390764.
Total sieving time: 18.67 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.68 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 19.68 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 KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10169+119

c125

name 名前Jo Yeong Uk
date 日付August 16, 2009 13:34:51 UTC 2009 年 8 月 16 日 (日) 22 時 34 分 51 秒 (日本時間)
composite number 合成数
80230335001105177866805283220394479113117091317066824102441316262293178583056975568401818887106425370321835996839030630281201<125>
prime factors 素因数
726341733161813647858156175202119648900783529862783<51>
110458109920047163481828000865195622785385713219451478383234067978685288847<75>
factorization results 素因数分解の結果
Number: 27779_169
N=80230335001105177866805283220394479113117091317066824102441316262293178583056975568401818887106425370321835996839030630281201
  ( 125 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=726341733161813647858156175202119648900783529862783
 r2=110458109920047163481828000865195622785385713219451478383234067978685288847
Version: 
Total time: 34.73 hours.
Scaled time: 82.09 units (timescale=2.364).
Factorization parameters were as follows:
n: 80230335001105177866805283220394479113117091317066824102441316262293178583056975568401818887106425370321835996839030630281201
m: 10000000000000000000000000000000000
deg: 5
c5: 5
c0: 22
skew: 1.34
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 5500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11038674
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 973380 x 973628
Total sieving time: 31.10 hours.
Total relation processing time: 1.44 hours.
Matrix solve time: 1.98 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 34.73 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673791)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672381)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672382)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)
351e6825Andreas TeteApril 12, 2009 07:30:20 UTC 2009 年 4 月 12 日 (日) 16 時 30 分 20 秒 (日本時間)
403e621111747Andreas TeteMay 11, 2009 07:47:16 UTC 2009 年 5 月 11 日 (月) 16 時 47 分 16 秒 (日本時間)
364Jo Yeong UkJuly 22, 2009 23:17:52 UTC 2009 年 7 月 23 日 (木) 8 時 17 分 52 秒 (日本時間)

25×10171+119

c107

name 名前Jo Yeong Uk
date 日付September 20, 2008 00:34:07 UTC 2008 年 9 月 20 日 (土) 9 時 34 分 7 秒 (日本時間)
composite number 合成数
41109275546240495062432283264051165658091623196993437906976151352389340190469170320769270885516502924747077<107>
prime factors 素因数
47874100857762290609637818483054673407660177<44>
858695511971689614580328938461510753245623133163645463110819701<63>
factorization results 素因数分解の結果
Number: 27779_171
N=41109275546240495062432283264051165658091623196993437906976151352389340190469170320769270885516502924747077
  ( 107 digits)
Divisors found:
 r1=47874100857762290609637818483054673407660177 (pp44)
 r2=858695511971689614580328938461510753245623133163645463110819701 (pp63)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 9.77 hours.
Scaled time: 22.77 units (timescale=2.331).
Factorization parameters were as follows:
name: 27779_171
n: 41109275546240495062432283264051165658091623196993437906976151352389340190469170320769270885516502924747077
skew: 12398.44
# norm 1.37e+15
c5: 159840
c4: -1028441856
c3: -137128844967686
c2: 134334849458104183
c1: 5984236747583308367232
c0: 6813532622585497995327780
# alpha -6.31
Y1: 102254484497
Y0: -191448147793948031093
# Murphy_E 1.43e-09
# M 17913856090839271483351743511826600163139299801714024344774155683648315054779271422721430516648895900507594
type: gnfs
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 50/50
Sieved algebraic special-q in [1000000, 1550001)
Primes: RFBsize:148933, AFBsize:148910, largePrimes:4994109 encountered
Relations: rels:5074616, finalFF:422065
Max relations in full relation-set: 28
Initial matrix: 297927 x 422065 with sparse part having weight 40159545.
Pruned matrix : 222425 x 223978 with weight 20465865.
Polynomial selection time: 0.54 hours.
Total sieving time: 8.84 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2000000,2000000,26,26,50,50,2.6,2.6,50000
total time: 9.77 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: 8047092k/8912896k available (2460k kernel code, 339200k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343)
Calibrating delay using timer specific routine.. 5344.63 BogoMIPS (lpj=2672318)
Calibrating delay using timer specific routine.. 5344.71 BogoMIPS (lpj=2672355)
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 KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10172+119

c120

name 名前Jo Yeong Uk
date 日付October 1, 2008 04:47:40 UTC 2008 年 10 月 1 日 (水) 13 時 47 分 40 秒 (日本時間)
composite number 合成数
217194235279435322578068101831818127012956773396156707671960089661930773720951196887833399196951403371695218091515512817<120>
prime factors 素因数
109489131787240102633809097207760966409512000943817713697<57>
1983705886913857198927917859022711403667837530552000416457450961<64>
factorization results 素因数分解の結果
Number: 27779_172
N=217194235279435322578068101831818127012956773396156707671960089661930773720951196887833399196951403371695218091515512817
  ( 120 digits)
Divisors found:
 r1=109489131787240102633809097207760966409512000943817713697 (pp57)
 r2=1983705886913857198927917859022711403667837530552000416457450961 (pp64)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 39.03 hours.
Scaled time: 88.36 units (timescale=2.264).
Factorization parameters were as follows:
name: 27779_172
n: 217194235279435322578068101831818127012956773396156707671960089661930773720951196887833399196951403371695218091515512817
skew: 120743.00
# norm 2.20e+16
c5: 12540
c4: -2801895919
c3: -707820581642247
c2: 37147529845475201007
c1: 3152016688089544702881334
c0: -61311511986314671396522758936
# alpha -5.67
Y1: 5015245439623
Y0: -111612034227956946874235
# Murphy_E 2.91e-10
# M 31924727766020902462974355133718177632421051733378130399990588470417387964299356643973755470171567151060421048341657594
type: gnfs
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [2500000, 4600001)
Primes: RFBsize:348513, AFBsize:348407, largePrimes:8681924 encountered
Relations: rels:8873385, finalFF:860548
Max relations in full relation-set: 28
Initial matrix: 697004 x 860548 with sparse part having weight 75775813.
Pruned matrix : 560161 x 563710 with weight 47440428.
Polynomial selection time: 2.63 hours.
Total sieving time: 34.03 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 2.02 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
gnfs,119,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5000000,5000000,27,27,51,51,2.4,2.4,100000
total time: 39.03 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: 8047092k/8912896k available (2460k kernel code, 339200k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673800)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
Calibrating delay using timer specific routine.. 5344.40 BogoMIPS (lpj=2672204)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
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 KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)
351e6904Serge BatalovSeptember 20, 2008 02:56:32 UTC 2008 年 9 月 20 日 (土) 11 時 56 分 32 秒 (日本時間)

25×10173+119

c122

name 名前Ignacio Santos
date 日付April 20, 2009 21:31:25 UTC 2009 年 4 月 21 日 (火) 6 時 31 分 25 秒 (日本時間)
composite number 合成数
53211397490344946900536786881309863034780265482886037675997088339278604798975900411608112094043137173327508782150990456901<122>
prime factors 素因数
309663452002993767114281190640908937591<39>
171836221375684041886673540732326857211429098070211664166511506444287611655348677411<84>
factorization results 素因数分解の結果
Number: 27779_173
N=53211397490344946900536786881309863034780265482886037675997088339278604798975900411608112094043137173327508782150990456901
  ( 122 digits)
Divisors found:
 r1=309663452002993767114281190640908937591 (pp39)
 r2=171836221375684041886673540732326857211429098070211664166511506444287611655348677411 (pp84)
Version: Msieve-1.39
Total time: 45.64 hours.
Scaled time: 117.34 units (timescale=2.571).
Factorization parameters were as follows:
# Murphy_E = 2.358547e-10, selected by Jeff Gilchrist
n: 53211397490344946900536786881309863034780265482886037675997088339278604798975900411608112094043137173327508782150990456901
Y0: -348709088850161602305536
Y1: 11955423470957
c0: 21632123064086795098280205422505
c1: 296416490313361015058593979
c2: -1664067767180628526287
c3: -3283788797457339
c4: 5983105142
c5: 10320
skew: 411539.22
type: gnfs
# selected mechanically
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [2900000, 5000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 792665 x 792913
Total sieving time: 45.64 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:
gnfs,121,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5800000,5800000,27,27,52,52,2.5,2.5,60000
total time: 45.64 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 KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)
351e6904Serge BatalovSeptember 20, 2008 02:57:05 UTC 2008 年 9 月 20 日 (土) 11 時 57 分 5 秒 (日本時間)

25×10174+119

c152

name 名前Wataru Sakai
date 日付April 30, 2010 11:54:40 UTC 2010 年 4 月 30 日 (金) 20 時 54 分 40 秒 (日本時間)
composite number 合成数
20088392180548162440516955933788203205149605404291840797853838651972390681415201721614756013052244290972920414797457101684955171795314679637219903789013<152>
prime factors 素因数
3466508431729068741654526050267551833<37>
composite cofactor 合成数の残り
5794993024300310483910538704197124958548101979525765255783707251635657873224490628274531695984296695538143011818461<115>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3474541869
Step 1 took 46937ms
********** Factor found in step 1: 3466508431729068741654526050267551833
Found probable prime factor of 37 digits: 3466508431729068741654526050267551833
Composite cofactor 5794993024300310483910538704197124958548101979525765255783707251635657873224490628274531695984296695538143011818461 has 115 digits
software ソフトウェア
GMP-ECM 6.2.1

c115

name 名前Sinkiti Sibata
date 日付May 1, 2010 20:53:14 UTC 2010 年 5 月 2 日 (日) 5 時 53 分 14 秒 (日本時間)
composite number 合成数
5794993024300310483910538704197124958548101979525765255783707251635657873224490628274531695984296695538143011818461<115>
prime factors 素因数
64062079017382884900487022395843795117348921463304429823<56>
90459022142067411109220696367897203006377612539730691503907<59>
factorization results 素因数分解の結果
Number: 27779_174
N = 5794993024300310483910538704197124958548101979525765255783707251635657873224490628274531695984296695538143011818461 (115 digits)
Divisors found:
r1=64062079017382884900487022395843795117348921463304429823 (pp56)
r2=90459022142067411109220696367897203006377612539730691503907 (pp59)
Version: Msieve v. 1.44
Total time: 12.77 hours.
Factorization parameters were as follows:
n: 5794993024300310483910538704197124958548101979525765255783707251635657873224490628274531695984296695538143011818461
Y0: -13814103383524053959189
Y1: 1298829142589
c0: -659439249727493102467466820
c1: 34018027932324716784836
c2: 5688132921879000486
c3: -39151515334179
c4: -3687597754
c5: 11520
skew: 40222.68  
type: gnfs
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 8102395
Relations: 776226 relations
Pruned matrix : 466913 x 467142
Polynomial selection time: 2.07 hours.
Total sieving time: 10.39 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.24 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: gnfs,114,5,61,2000,0.00016,0.25,250,15,50000,2800,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 12.77 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 860 2.80GHz,Window 7 64bit,(factmsieve.py)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiApril 30, 2010 11:54:21 UTC 2010 年 4 月 30 日 (金) 20 時 54 分 21 秒 (日本時間)

25×10175+119

c152

name 名前Wataru Sakai
date 日付September 4, 2011 05:13:45 UTC 2011 年 9 月 4 日 (日) 14 時 13 分 45 秒 (日本時間)
composite number 合成数
43588529229243514623936689459082678462476318820602596846711812849641788737373577799953251474178923018955384321554939833224900308640238395653635924842233<152>
prime factors 素因数
12466306356362688329522599020158261376859<41>
3496507143593204688676995945596291865950019802546079904532709019308581294770289897075280501467634494690103414587<112>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1634877429
Step 1 took 49882ms
Step 2 took 19347ms
********** Factor found in step 2: 12466306356362688329522599020158261376859
Found probable prime factor of 41 digits: 12466306356362688329522599020158261376859
Probable prime cofactor 3496507143593204688676995945596291865950019802546079904532709019308581294770289897075280501467634494690103414587 has 112 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiAugust 31, 2010 02:57:38 UTC 2010 年 8 月 31 日 (火) 11 時 57 分 38 秒 (日本時間)

25×10176+119

c162

name 名前Robert Backstrom
date 日付January 6, 2012 11:54:57 UTC 2012 年 1 月 6 日 (金) 20 時 54 分 57 秒 (日本時間)
composite number 合成数
178797314239549566000108228992002102341231995550908905977264451346376459820764450678883425190221381296860652139921436934628460881443232488897244248216236055249111<162>
prime factors 素因数
7622066527617714382461594910212814120146158441<46>
23457852747899442858807324788832502949852745457302621422578670436937406987257654461228358043151129341425698547767871<116>
factorization results 素因数分解の結果
Number: n
N=178797314239549566000108228992002102341231995550908905977264451346376459820764450678883425190221381296860652139921436934628460881443232488897244248216236055249111
  ( 162 digits)
SNFS difficulty: 177 digits.
Divisors found:

Fri Jan  6 22:36:58 2012  prp46 factor: 7622066527617714382461594910212814120146158441
Fri Jan  6 22:36:58 2012  prp116 factor: 23457852747899442858807324788832502949852745457302621422578670436937406987257654461228358043151129341425698547767871
Fri Jan  6 22:36:58 2012  elapsed time 02:28:34 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.096).
Factorization parameters were as follows:
name: KA_27779_176
n: 178797314239549566000108228992002102341231995550908905977264451346376459820764450678883425190221381296860652139921436934628460881443232488897244248216236055249111
m: 100000000000000000000000000000000000
deg: 5
c5: 250
c0: 11
skew: 0.54
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 20100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6773329 hash collisions in 75000099 relations
Msieve: matrix is 1038745 x 1038989 (287.5 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.20 BogoMIPS (lpj=2830100)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830455)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830456)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830454)
Total of 4 processors activated (22642.93 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Dmitry DomanovMay 6, 2011 06:39:22 UTC 2011 年 5 月 6 日 (金) 15 時 39 分 22 秒 (日本時間)
2036Wataru SakaiOctober 6, 2011 13:58:25 UTC 2011 年 10 月 6 日 (木) 22 時 58 分 25 秒 (日本時間)

25×10177+119

c109

name 名前Jo Yeong Uk
date 日付September 20, 2008 12:57:27 UTC 2008 年 9 月 20 日 (土) 21 時 57 分 27 秒 (日本時間)
composite number 合成数
2087103967495046706276067970122419419022511455953998279647936986802817671321789654961798929535928625058945217<109>
prime factors 素因数
6157197430675453532424056643451057039223485303<46>
338969797703252851359735909773659729555343992931588939572392839<63>
factorization results 素因数分解の結果
Number: 27779_177
N=2087103967495046706276067970122419419022511455953998279647936986802817671321789654961798929535928625058945217
  ( 109 digits)
Divisors found:
 r1=6157197430675453532424056643451057039223485303 (pp46)
 r2=338969797703252851359735909773659729555343992931588939572392839 (pp63)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 11.74 hours.
Scaled time: 27.28 units (timescale=2.323).
Factorization parameters were as follows:
name: 27779_177
n: 2087103967495046706276067970122419419022511455953998279647936986802817671321789654961798929535928625058945217
skew: 32823.13
# norm 4.71e+14
c5: 4140
c4: -71364416
c3: -11634601779911
c2: -437449399023178436
c1: 2192614406917375491624
c0: 51523026074077021222366080
# alpha -5.51
Y1: 53450399057
Y0: -871984650797901441577
# Murphy_E 1.24e-09
# M 1324511941542110147642404859276676481618277862522208959679582391092161274809532009101863003961825845040641987
type: gnfs
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 50/50
Sieved algebraic special-q in [1000000, 1700001)
Primes: RFBsize:148933, AFBsize:148689, largePrimes:5135535 encountered
Relations: rels:5333563, finalFF:456369
Max relations in full relation-set: 28
Initial matrix: 297703 x 456369 with sparse part having weight 47715445.
Pruned matrix : 224563 x 226115 with weight 22753216.
Polynomial selection time: 0.68 hours.
Total sieving time: 10.69 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2000000,2000000,26,26,50,50,2.6,2.6,50000
total time: 11.74 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: 8047092k/8912896k available (2460k kernel code, 339200k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343)
Calibrating delay using timer specific routine.. 5344.63 BogoMIPS (lpj=2672318)
Calibrating delay using timer specific routine.. 5344.71 BogoMIPS (lpj=2672355)
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 KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10178+119

c127

name 名前Dmitry Domanov
date 日付May 6, 2011 07:06:44 UTC 2011 年 5 月 6 日 (金) 16 時 6 分 44 秒 (日本時間)
composite number 合成数
5101381483154135845525963555045161289929646876313029172504640787617087450318679031648917881851056351418839490586153219496397147<127>
prime factors 素因数
65224143708549511186517442173551<32>
4805748934337970649287216333633630725129939<43>
16274900306441730207300716287812631555921882122192823<53>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1556126765
Step 1 took 38633ms
Step 2 took 17033ms
********** Factor found in step 2: 65224143708549511186517442173551
Found probable prime factor of 32 digits: 65224143708549511186517442173551
Composite cofactor 78213084804139056900503843952705365824467633786238616931284129280705353285172569468362288227797 has 95 digits


N=78213084804139056900503843952705365824467633786238616931284129280705353285172569468362288227797
  ( 95 digits)
Divisors found:
 r1=4805748934337970649287216333633630725129939 (pp43)
 r2=16274900306441730207300716287812631555921882122192823 (pp53)
Version: Msieve v. 1.47
Total time: 0.35 hours.
Scaled time: 0.55 units (timescale=1.557).
Factorization parameters were as follows:
name: 95
n:  78213084804139056900503843952705365824467633786238616931284129280705353285172569468362288227797
m:  5751137067781080048821
deg: 4
c4: 71493168
c3: -362312780993
c2: 126433811903669392
c1: 1256337761748355390
c0: -85757503079251148848500
skew: 1635.250
type: gnfs
# adj. I(F,S) = 53.190
# E(F1,F2) = 4.454597e-05
# GGNFS version 0.77.1-20060513-nocona polyselect.
# Options were:
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1304662532.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1200001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 164408 x 164633
Polynomial selection time: 0.17 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,94,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 0.35 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 6, 2011 06:39:32 UTC 2011 年 5 月 6 日 (金) 15 時 39 分 32 秒 (日本時間)

25×10179+119

c167

name 名前Dmitry Domanov
date 日付May 6, 2011 06:45:09 UTC 2011 年 5 月 6 日 (金) 15 時 45 分 9 秒 (日本時間)
composite number 合成数
10791746166809748239920211340754417621841307496116761144073784966251480596006593809995731774370985422372920789232933835401778887568221498429804262041149521199713905801<167>
prime factors 素因数
527217381419015711605532464164855764473<39>
composite cofactor 合成数の残り
20469253380386579987778471274027971971799701120996383610148894419243047597070944827637716088144049612412390029124918681308901137<128>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2470431886
Step 1 took 59618ms
Step 2 took 23700ms
********** Factor found in step 2: 527217381419015711605532464164855764473
Found probable prime factor of 39 digits: 527217381419015711605532464164855764473
Composite cofactor 20469253380386579987778471274027971971799701120996383610148894419243047597070944827637716088144049612412390029124918681308901137 has 128 digits

c128

name 名前Warut Roonguthai
date 日付February 21, 2012 03:46:07 UTC 2012 年 2 月 21 日 (火) 12 時 46 分 7 秒 (日本時間)
composite number 合成数
20469253380386579987778471274027971971799701120996383610148894419243047597070944827637716088144049612412390029124918681308901137<128>
prime factors 素因数
1074304680488446815197575325669096171720619772683881<52>
19053489901095807873785916520333393509972855719214255681975571263172011638377<77>
factorization results 素因数分解の結果
N = 20469253380386579987778471274027971971799701120996383610148894419243047597070944827637716088144049612412390029124918681308901137 (128 digits)
Divisors found:
r1=1074304680488446815197575325669096171720619772683881 (pp52)
r2=19053489901095807873785916520333393509972855719214255681975571263172011638377 (pp77)
Version: Msieve v. 1.48
Total time: 33.66 hours.
Factorization parameters were as follows:
n: 20469253380386579987778471274027971971799701120996383610148894419243047597070944827637716088144049612412390029124918681308901137
Y0: -5835889219476716530155869
Y1: 51398961049459
c0: -31725492367668758181586072332840
c1: 61204004028336007071314250
c2: 1734474162391115981753
c3: 338344624909070
c4: -11843665294
c5: 3024
skew: 411165.72 
type: gnfs
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19226641
Relations: 2212190 relations
Pruned matrix : 1245047 x 1245271
Polynomial selection time: 0.00 hours.
Total sieving time: 31.40 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.03 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: gnfs,127,5,65,2000,1e-05,0.28,250,20,50000,3600,6400000,6400000,28,28,55,55,2.5,2.5,100000
total time: 33.66 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)
351e60--
403e61070300Dmitry DomanovMay 6, 2011 06:39:41 UTC 2011 年 5 月 6 日 (金) 15 時 39 分 41 秒 (日本時間)
770Ignacio SantosJune 24, 2011 10:55:15 UTC 2011 年 6 月 24 日 (金) 19 時 55 分 15 秒 (日本時間)
4511e6220 / 4028Ignacio SantosJune 24, 2011 10:55:15 UTC 2011 年 6 月 24 日 (金) 19 時 55 分 15 秒 (日本時間)
5043e661 / 7464Ignacio SantosJune 24, 2011 10:55:15 UTC 2011 年 6 月 24 日 (金) 19 時 55 分 15 秒 (日本時間)

25×10180+119

c154

name 名前Dmitry Domanov
date 日付June 3, 2013 05:36:31 UTC 2013 年 6 月 3 日 (月) 14 時 36 分 31 秒 (日本時間)
composite number 合成数
2956524916249500653328530420830203014692358231950091356279366688112668620750651191739210119494740930702796158976030957196187983630945914602747300916817553<154>
prime factors 素因数
76489440377295741120614840141573327685965049772991154377<56>
38652719926646005543733468038565354971308652496024028778804698288543332393294572251176485896414089<98>
factorization results 素因数分解の結果
N=2956524916249500653328530420830203014692358231950091356279366688112668620750651191739210119494740930702796158976030957196187983630945914602747300916817553
  ( 154 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=76489440377295741120614840141573327685965049772991154377 (pp56)
 r2=38652719926646005543733468038565354971308652496024028778804698288543332393294572251176485896414089 (pp98)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 86.24 hours.
Scaled time: 166.00 units (timescale=1.925).
Factorization parameters were as follows:
n: 2956524916249500653328530420830203014692358231950091356279366688112668620750651191739210119494740930702796158976030957196187983630945914602747300916817553
m: 1000000000000000000000000000000000000
deg: 5
c5: 25
c0: 11
skew: 0.85
# Murphy_E = 1.214e-10
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, 8100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1228484 x 1228710
Total sieving time: 84.44 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 1.44 hours.
Time per square root: 0.14 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: 86.24 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 6, 2011 06:39:50 UTC 2011 年 5 月 6 日 (金) 15 時 39 分 50 秒 (日本時間)

25×10181+119

c122

name 名前Serge Batalov
date 日付September 20, 2008 03:02:27 UTC 2008 年 9 月 20 日 (土) 12 時 2 分 27 秒 (日本時間)
composite number 合成数
78132454518515588795694092135550125140199590998464507934199001889059845879209665138654903253189046627697925139538547070133<122>
prime factors 素因数
23598479575400327060190027268979<32>
3310910530014099084884003286660786026675819476626077776496236615555080721288380919172566327<91>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1615171658
Step 1 took 4421ms
Step 2 took 2396ms
********** Factor found in step 2: 23598479575400327060190027268979
Found probable prime factor of 32 digits: 23598479575400327060190027268979
Probable prime cofactor 3310910530014099084884003286660786026675819476626077776496236615555080721288380919172566327 has 91 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 KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)
351e6904Serge BatalovSeptember 20, 2008 02:57:19 UTC 2008 年 9 月 20 日 (土) 11 時 57 分 19 秒 (日本時間)

25×10182+119

c174

name 名前matsui
date 日付September 19, 2010 10:06:29 UTC 2010 年 9 月 19 日 (日) 19 時 6 分 29 秒 (日本時間)
composite number 合成数
344217773749708344452410758994599644590109255218438622723108044564186021915394787465724096954277685705512688994040561951371693928878883739419907886247031381757936833433752191<174>
prime factors 素因数
56694463094992033601200896319606564805688526120538451014947137251<65>
6071453100684076811947465942235482579220765022538223865653367833356133724065708847495894510747945386527349941<109>
factorization results 素因数分解の結果
N=344217773749708344452410758994599644590109255218438622723108044564186021915394787465724096954277685705512688994040561951371693928878883739419907886247031381757936833433752191
  ( 174 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=56694463094992033601200896319606564805688526120538451014947137251 (pp65)
 r2=6071453100684076811947465942235482579220765022538223865653367833356133724065708847495894510747945386527349941 (pp109)
Version: Msieve v. 1.47
Total time:
Scaled time: 13.06 units (timescale=1.276).
Factorization parameters were as follows:
n: 344217773749708344452410758994599644590109255218438622723108044564186021915394787465724096954277685705512688994040561951371693928878883739419907886247031381757936833433752191
m: 1000000000000000000000000000000000000
deg: 5
c5: 2500
c0: 11
skew: 0.34
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4000000, 9000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1520761 x 1520986
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,53,53,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10185+119

c185

name 名前Robert Backstrom
date 日付October 10, 2008 06:18:50 UTC 2008 年 10 月 10 日 (金) 15 時 18 分 50 秒 (日本時間)
composite number 合成数
92592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592593<185>
prime factors 素因数
1823763826037021477970377431624932839442513244497272766446966241367<67>
50770056555948494869560884191142325298211888542444804452840248720103134991812471526266558180708741955889392180067993879<119>
factorization results 素因数分解の結果
Number: n
N=92592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592593
  ( 185 digits)
SNFS difficulty: 186 digits.
Divisors found:

Fri Oct 10 06:51:11 2008  prp67 factor: 1823763826037021477970377431624932839442513244497272766446966241367
Fri Oct 10 06:51:11 2008  prp119 factor: 50770056555948494869560884191142325298211888542444804452840248720103134991812471526266558180708741955889392180067993879
Fri Oct 10 06:51:12 2008  elapsed time 04:57:15 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 48.26 hours.
Scaled time: 93.05 units (timescale=1.928).
Factorization parameters were as follows:
name: KA_2_7_184_9
n: 92592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592593
type: snfs
skew: 0.85
deg: 5
c5: 25
c0: 11
m: 10000000000000000000000000000000000000
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 5300001)
Primes: RFBsize:602489, AFBsize:601876, largePrimes:13793332 encountered
Relations: rels:13528674, finalFF:1248100
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 47.92 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,52,52,2.5,2.5,100000
total time: 48.26 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10186+119

c138

name 名前Dmitry Domanov
date 日付May 6, 2011 16:07:51 UTC 2011 年 5 月 7 日 (土) 1 時 7 分 51 秒 (日本時間)
composite number 合成数
167416694572913158064280269550491011816688759465509018810012717952629992374275073101147083846273204809730729840216569395557039991429631191<138>
prime factors 素因数
9100421395150644833479234971217027<34>
385982136978585851257185818684492210335079<42>
47661757651201696935057368181774136773555577578240518685387227<62>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=597233011
Step 1 took 49131ms
Step 2 took 19910ms
********** Factor found in step 2: 9100421395150644833479234971217027
Found probable prime factor of 34 digits: 9100421395150644833479234971217027
Composite cofactor 18396587070366295633332998182642992909751631368294673592311811386874202427473305548592938475582536635933 has 104 digits

N=18396587070366295633332998182642992909751631368294673592311811386874202427473305548592938475582536635933
  ( 104 digits)
Divisors found:
 r1=385982136978585851257185818684492210335079 (pp42)
 r2=47661757651201696935057368181774136773555577578240518685387227 (pp62)
Version: Msieve v. 1.47
Total time: 1.14 hours.
Scaled time: 1.59 units (timescale=1.402).
Factorization parameters were as follows:
name: 104
n: 18396587070366295633332998182642992909751631368294673592311811386874202427473305548592938475582536635933
skew: 12904.27
# norm 2.54e+14
c5: 57720
c4: -270911836
c3: -16982974522910
c2: 189216292331617511
c1: 1197119510429204532274
c0: -8530896500839620708599991
# alpha -6.45
Y1: 93385782197
Y0: -50197599136254407656
# Murphy_E 2.24e-09
# M 9286551878600921695650687714402497675662557125755739676912902155640085690445775713909765458859868661740
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1850001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 253813 x 254041
Polynomial selection time: 0.64 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 1.14 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 6, 2011 06:39:58 UTC 2011 年 5 月 6 日 (金) 15 時 39 分 58 秒 (日本時間)

25×10187+119

c188

name 名前Jo Yeong Uk
date 日付September 20, 2008 00:57:38 UTC 2008 年 9 月 20 日 (土) 9 時 57 分 38 秒 (日本時間)
composite number 合成数
27777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<188>
prime factors 素因数
3467294206652453951666199350752110791<37>
composite cofactor 合成数の残り
8011370285360413276920870842742682043675772489490261688319864518192193944560646037656706933240715383931249954780125806286441085989770305439253452225269<151>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 27777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779 (188 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3112568619
Step 1 took 18665ms
Step 2 took 7928ms
********** Factor found in step 2: 3467294206652453951666199350752110791
Found probable prime factor of 37 digits: 3467294206652453951666199350752110791
Composite cofactor 8011370285360413276920870842742682043675772489490261688319864518192193944560646037656706933240715383931249954780125806286441085989770305439253452225269 has 151 digits
execution environment 実行環境
Core 2 Quad Q6700

c151

name 名前Ben Meekins
date 日付October 17, 2014 12:44:47 UTC 2014 年 10 月 17 日 (金) 21 時 44 分 47 秒 (日本時間)
composite number 合成数
8011370285360413276920870842742682043675772489490261688319864518192193944560646037656706933240715383931249954780125806286441085989770305439253452225269<151>
prime factors 素因数
23186633446890624295998034599709279991925593150593034038729741399771<68>
345516752300871633085262158892938359153406143460301794507070123481072587139156080239<84>
factorization results 素因数分解の結果
Number: 27779_187
N = 8011370285360413276920870842742682043675772489490261688319864518192193944560646037656706933240715383931249954780125806286441085989770305439253452225269 (151 digits)
SNFS difficulty: 190 digits.
Divisors found:
r1=23186633446890624295998034599709279991925593150593034038729741399771 (pp68)
r2=345516752300871633085262158892938359153406143460301794507070123481072587139156080239 (pp84)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 10.82 hours.
Factorization parameters were as follows:
n: 8011370285360413276920870842742682043675772489490261688319864518192193944560646037656706933240715383931249954780125806286441085989770305439253452225269
m: 50000000000000000000000000000000000000
deg: 5
c5: 4
c0: 55
skew: 1.69
# Murphy_E = 6.279e-11
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 21011534
Relations: 2817334 relations
Pruned matrix : 1724060 x 1724289
Polynomial selection time: 0.00 hours.
Total sieving time: 9.77 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.85 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: snfs,190,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,200000
total time: 10.82 hours.
Intel64 Family 6 Model 62 Stepping 4, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 12, speed: 3.40GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)
351e6904Jo Yeong UkSeptember 19, 2008 15:02:04 UTC 2008 年 9 月 20 日 (土) 0 時 2 分 4 秒 (日本時間)
403e613001000Dmitry DomanovJune 15, 2013 08:10:03 UTC 2013 年 6 月 15 日 (土) 17 時 10 分 3 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:53 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 53 秒 (日本時間)
4511e61100 / 4150800Rich DickersonApril 23, 2014 01:27:00 UTC 2014 年 4 月 23 日 (水) 10 時 27 分 0 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:22 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 22 秒 (日本時間)

25×10188+119

c166

name 名前Eric Jeancolas
date 日付July 21, 2020 01:50:19 UTC 2020 年 7 月 21 日 (火) 10 時 50 分 19 秒 (日本時間)
composite number 合成数
4492626445250836257360418292370201573607195866298193506671351302706719163171064102351011005713066849284563528640253258103560677919877942232347270871365364568715210351<166>
prime factors 素因数
1754550786235294608564844497273042207919474561208114890822305812265383154463922221<82>
2560556514234949660006788276117142592738297373156763114638917139060106423339722491531<85>
factorization results 素因数分解の結果
4492626445250836257360418292370201573607195866298193506671351302706719163171064102351011005713066849284563528640253258103560677919877942232347270871365364568715210351=1754550786235294608564844497273042207919474561208114890822305812265383154463922221*2560556514234949660006788276117142592738297373156763114638917139060106423339722491531

n: 4492626445250836257360418292370201573607195866298193506671351302706719163171064102351011005713066849284563528640253258103560677919877942232347270871365364568715210351
skew: 2.13
type: snfs
c0: 11
c5: 25000
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 25*x^5+1100
# g(x) = -x+100000000000000000000000000000000000000

Info:Square Root: Factors: 1754550786235294608564844497273042207919474561208114890822305812265383154463922221 2560556514234949660006788276117142592738297373156763114638917139060106423339722491531
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 6.32/1.26032
Info:Generate Free Relations: Total cpu/real time for freerel: 120.01/10.1707
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25560035
Info:Lattice Sieving: Average J: 1894.24 for 2344948 special-q, max bucket fill -bkmult 1.0,1s:1.109780
Info:Lattice Sieving: Total time: 1.03242e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 113.17/417.474
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 414.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 842.58/1233.81
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1080.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 671.43/1127.36
Info:Filtering - Merging: Total cpu/real time for merge: 1842.81/1855.36
Info:Filtering - Merging: Total cpu/real time for replay: 166.29/178.775
Info:Linear Algebra: Total cpu/real time for bwc: 170628/102023
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 59134.93, iteration CPU time 0.76, COMM 0.02, cpu-wait 0.14, comm-wait 0.0 (64000 iterations)
Info:Linear Algebra: Lingen CPU time 15949.54, WCT time 11743.39
Info:Linear Algebra: Mksol: WCT time 30786.08, iteration CPU time 0.8, COMM 0.02, cpu-wait 0.14, comm-wait 0.0 (32000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 149.69/116.727
Info:Square Root: Total cpu/real time for sqrt: 1810.73/1089.95
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.71915e+06/279354
1754550786235294608564844497273042207919474561208114890822305812265383154463922221 2560556514234949660006788276117142592738297373156763114638917139060106423339722491531
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 18.04 LTS [4.15.0-109-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)
351e60--
403e61600300Dmitry DomanovMay 6, 2011 06:40:18 UTC 2011 年 5 月 6 日 (金) 15 時 40 分 18 秒 (日本時間)
1000Dmitry DomanovJune 15, 2013 08:10:10 UTC 2013 年 6 月 15 日 (土) 17 時 10 分 10 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:57 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 57 秒 (日本時間)
4511e6900600Rich DickersonApril 26, 2014 13:05:50 UTC 2014 年 4 月 26 日 (土) 22 時 5 分 50 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:23 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 23 秒 (日本時間)
5043e60--
5511e714055 / 177011971shunFebruary 8, 2019 02:39:30 UTC 2019 年 2 月 8 日 (金) 11 時 39 分 30 秒 (日本時間)
6042shunFebruary 14, 2019 13:43:42 UTC 2019 年 2 月 14 日 (木) 22 時 43 分 42 秒 (日本時間)
6042shunFebruary 14, 2019 13:43:46 UTC 2019 年 2 月 14 日 (木) 22 時 43 分 46 秒 (日本時間)

25×10189+119

c156

name 名前Eric Jeancolas
date 日付July 17, 2020 05:24:02 UTC 2020 年 7 月 17 日 (金) 14 時 24 分 2 秒 (日本時間)
composite number 合成数
110739907458163034050545603028645467580148160841181906662061230131321017436886635769061882578617941312377687498182855086316037791006206091365930083821834911<156>
prime factors 素因数
113065811683174273133906730558564871470723642573465005943764906921766071194739<78>
979428757549375421057260938103633825864935755258864842284799251639550102989349<78>
factorization results 素因数分解の結果
110739907458163034050545603028645467580148160841181906662061230131321017436886635769061882578617941312377687498182855086316037791006206091365930083821834911=113065811683174273133906730558564871470723642573465005943764906921766071194739*979428757549375421057260938103633825864935755258864842284799251639550102989349

n: 110739907458163034050545603028645467580148160841181906662061230131321017436886635769061882578617941312377687498182855086316037791006206091365930083821834911
skew: 0.67
type: snfs
c0: 11
c5: 80
Y0: 50000000000000000000000000000000000000
Y1: -1
# f(x) = 80*x^5+11
# g(x) = -x+50000000000000000000000000000000000000

Info:Square Root: Factors: 113065811683174273133906730558564871470723642573465005943764906921766071194739 979428757549375421057260938103633825864935755258864842284799251639550102989349
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.53/2.02453
Info:Generate Free Relations: Total cpu/real time for freerel: 102.05/26.0686
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25680453
Info:Lattice Sieving: Average J: 1894.54 for 2204518 special-q, max bucket fill -bkmult 1.0,1s:1.080850
Info:Lattice Sieving: Total time: 477412s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.7/108.832
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 108.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 415.97/382.128
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 329.79999999999995s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 333.49/346.039
Info:Filtering - Merging: Total cpu/real time for merge: 293.3/83.9277
Info:Filtering - Merging: Total cpu/real time for replay: 78.15/67.0154
Info:Linear Algebra: Total cpu/real time for bwc: 70685.9/18094.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 11588.96, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (63744 iterations)
Info:Linear Algebra: Lingen CPU time 424.79, WCT time 122.34
Info:Linear Algebra: Mksol: WCT time 6259.62, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (32000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 72.97/29.6802
Info:Square Root: Total cpu/real time for sqrt: 1002.44/306.452
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 970675/112990
Info:root: Cleaning up computation data in /tmp/cado.ch2cdh9h
113065811683174273133906730558564871470723642573465005943764906921766071194739 979428757549375421057260938103633825864935755258864842284799251639550102989349
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
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 KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)
351e60--
403e61600300Dmitry DomanovMay 6, 2011 06:40:26 UTC 2011 年 5 月 6 日 (金) 15 時 40 分 26 秒 (日本時間)
1000Dmitry DomanovJune 15, 2013 08:10:18 UTC 2013 年 6 月 15 日 (土) 17 時 10 分 18 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:57 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 57 秒 (日本時間)
4511e64900600Rich DickersonApril 26, 2014 15:51:50 UTC 2014 年 4 月 27 日 (日) 0 時 51 分 50 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:23 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 23 秒 (日本時間)
4000Robert BalfourMarch 27, 2020 01:19:49 UTC 2020 年 3 月 27 日 (金) 10 時 19 分 49 秒 (日本時間)

25×10190+119

c160

name 名前Eric Jeancolas
date 日付November 9, 2020 09:03:17 UTC 2020 年 11 月 9 日 (月) 18 時 3 分 17 秒 (日本時間)
composite number 合成数
7780382374682770787461057758885823733374671963247215505290232532193869324296053937342759916451739157207771520166906374441277954451889627702248425297906182366727<160>
prime factors 素因数
65749661084635350598416569843883258985453893200162297<53>
118333421744449452760057385376129482991155984208629298565667115611464041402423574154597234062671507319944191<108>
factorization results 素因数分解の結果
7780382374682770787461057758885823733374671963247215505290232532193869324296053937342759916451739157207771520166906374441277954451889627702248425297906182366727=65749661084635350598416569843883258985453893200162297*118333421744449452760057385376129482991155984208629298565667115611464041402423574154597234062671507319944191

cado polynomial
n: 7780382374682770787461057758885823733374671963247215505290232532193869324296053937342759916451739157207771520166906374441277954451889627702248425297906182366727
skew: 0.85
type: snfs
c0: 11
c5: 25
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 25*x^5+11
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10800000
tasks.lim1 = 10800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
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: 118333421744449452760057385376129482991155984208629298565667115611464041402423574154597234062671507319944191 65749661084635350598416569843883258985453893200162297
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.67/2.03776
Info:Generate Free Relations: Total cpu/real time for freerel: 101.74/26.1041
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24387699
Info:Lattice Sieving: Average J: 1894 for 1675785 special-q, max bucket fill -bkmult 1.0,1s:1.078120
Info:Lattice Sieving: Total time: 385492s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 48.29/55.6057
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 55.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 370.54/230.704
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 198.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 287.18/170.802
Info:Filtering - Merging: Merged matrix has 1881348 rows and total weight 320021560 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 276.74/78.8339
Info:Filtering - Merging: Total cpu/real time for replay: 71.74/61.0242
Info:Linear Algebra: Total cpu/real time for bwc: 60213.4/15472.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 9902.57, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (58880 iterations)
Info:Linear Algebra: Lingen CPU time 373.91, WCT time 108.38
Info:Linear Algebra: Mksol: WCT time 5356.22, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (29440 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 67.75/27.4252
Info:Square Root: Total cpu/real time for sqrt: 870.21/268.7
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 792543/402423
Info:root: Cleaning up computation data in /tmp/cado.oxvrse0g
118333421744449452760057385376129482991155984208629298565667115611464041402423574154597234062671507319944191 65749661084635350598416569843883258985453893200162297
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)
351e60--
403e62900300Dmitry DomanovMay 6, 2011 06:40:35 UTC 2011 年 5 月 6 日 (金) 15 時 40 分 35 秒 (日本時間)
1000Dmitry DomanovJune 15, 2013 08:10:25 UTC 2013 年 6 月 15 日 (土) 17 時 10 分 25 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:58 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 58 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:47 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 47 秒 (日本時間)
4511e6468868867590867356742March 14, 2015 02:58:23 UTC 2015 年 3 月 14 日 (土) 11 時 58 分 23 秒 (日本時間)
4000Robert BalfourApril 13, 2020 11:37:31 UTC 2020 年 4 月 13 日 (月) 20 時 37 分 31 秒 (日本時間)

25×10191+119

c144

name 名前Serge Batalov
date 日付September 19, 2008 07:15:00 UTC 2008 年 9 月 19 日 (金) 16 時 15 分 0 秒 (日本時間)
composite number 合成数
570519179446782359339252890837934249143440005001801732527646024358610926299288672350376351755659176142334448475296192648854650039135351195669349<144>
prime factors 素因数
2526416268926009103666694532857<31>
225821526905109989428395988313810618602302745969461692647476062511113200159315648162004578240008559799312133924557<114>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [P-1]
Input number is 570519179446782359339252890837934249143440005001801732527646024358610926299288672350376351755659176142334448475296192648854650039135351195669349 (144 digits)
Using B1=30000000, B2=756268978042, polynomial x^1, x0=3676457812
Step 1 took 18456ms
********** Factor found in step 1: 2526416268926009103666694532857
Found probable prime factor of 31 digits: 2526416268926009103666694532857
Probable prime cofactor 225821526905109989428395988313810618602302745969461692647476062511113200159315648162004578240008559799312133924557 has 114 digits
software ソフトウェア
GMP-ECM 6.2.1 [P-1!]

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10192+119

c120

name 名前Jo Yeong Uk
date 日付October 3, 2008 15:08:21 UTC 2008 年 10 月 4 日 (土) 0 時 8 分 21 秒 (日本時間)
composite number 合成数
356432514708665067434889972034144550754335969029805940899612059115982464982373416977480490869176337160263355155411072591<120>
prime factors 素因数
523283330570262509507095968646219549154589782060264537<54>
681146319566940643603387966607299632516460088185410724746611917543<66>
factorization results 素因数分解の結果
Number: 27779_192
N=356432514708665067434889972034144550754335969029805940899612059115982464982373416977480490869176337160263355155411072591
  ( 120 digits)
Divisors found:
 r1=523283330570262509507095968646219549154589782060264537 (pp54)
 r2=681146319566940643603387966607299632516460088185410724746611917543 (pp66)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 38.90 hours.
Scaled time: 92.46 units (timescale=2.377).
Factorization parameters were as follows:
name: 27779_192
n: 356432514708665067434889972034144550754335969029805940899612059115982464982373416977480490869176337160263355155411072591
skew: 45877.59
# norm 2.10e+16
c5: 59220
c4: 4268148652
c3: -54178355275093
c2: -32310008489240418903
c1: -452211177823445963143823
c0: -93973871227905947990253765
# alpha -5.48
Y1: 4244062156877
Y0: -90344452061388090682912
# Murphy_E 2.82e-10
# M 255242693196056850117205220883103512579840869547747893244572149774913258474069373072912491588421647886917861100495805716
type: gnfs
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [2500000, 4600001)
Primes: RFBsize:348513, AFBsize:348452, largePrimes:8679735 encountered
Relations: rels:8845813, finalFF:843049
Max relations in full relation-set: 28
Initial matrix: 697049 x 843049 with sparse part having weight 74015787.
Pruned matrix : 573546 x 577095 with weight 47186435.
Polynomial selection time: 2.62 hours.
Total sieving time: 33.93 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.01 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
gnfs,119,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5000000,5000000,27,27,51,51,2.4,2.4,100000
total time: 38.90 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: 8047092k/8912896k available (2460k kernel code, 339200k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673800)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
Calibrating delay using timer specific routine.. 5344.40 BogoMIPS (lpj=2672204)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
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 KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)
351e6904Serge BatalovSeptember 20, 2008 02:56:47 UTC 2008 年 9 月 20 日 (土) 11 時 56 分 47 秒 (日本時間)

25×10193+119

c188

name 名前Robert Backstrom
date 日付February 2, 2010 11:20:40 UTC 2010 年 2 月 2 日 (火) 20 時 20 分 40 秒 (日本時間)
composite number 合成数
57012919811784388083752435306869760370136997485274132941814210401847583484588609593997314919528544202458807595306787661765608027966433529434972317946914586208209814842561102456549883682241<188>
prime factors 素因数
67835965031192149607628046594241704314084353735131105939663<59>
81539357555222729527274406726248319826367884605698825415503<59>
10307325479407677842835551873887224402335300661251189570802938682041569<71>
factorization results 素因数分解の結果
Number: n
N=57012919811784388083752435306869760370136997485274132941814210401847583484588609593997314919528544202458807595306787661765608027966433529434972317946914586208209814842561102456549883682241
  ( 188 digits)
SNFS difficulty: 194 digits.
Divisors found:

Tue Feb  2 21:40:06 2010  prp59 factor: 67835965031192149607628046594241704314084353735131105939663
Tue Feb  2 21:40:06 2010  prp59 factor: 81539357555222729527274406726248319826367884605698825415503
Tue Feb  2 21:40:06 2010  prp71 factor: 10307325479407677842835551873887224402335300661251189570802938682041569
Tue Feb  2 21:40:06 2010  elapsed time 06:41:32 (Msieve 1.42 - dependency 3)

Version: 
Total time: 14.28 hours.
Scaled time: 12.03 units (timescale=0.842).
Factorization parameters were as follows:
name: KA_2_7_192_9
n: 57012919811784388083752435306869760370136997485274132941814210401847583484588609593997314919528544202458807595306787661765608027966433529434972317946914586208209814842561102456549883682241
m: 500000000000000000000000000000000000000
deg: 5
c5: 8
c0: 11
skew: 1.07
type: snfs
lss: 1
rlim: 12200000
alim: 12200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 12200000/12200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 10707163)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2902381 hash collisions in 26823374 relations
Msieve: matrix is 1580844 x 1581072 (424.8 MB)

Total sieving time: 14.28 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12200000,12200000,28,28,56,56,2.5,2.5,100000
total time: 14.28 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 KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)
351e60--
403e61733 / 2336Wataru SakaiAugust 3, 2009 01:38:40 UTC 2009 年 8 月 3 日 (月) 10 時 38 分 40 秒 (日本時間)

25×10195+119

c162

name 名前Dmitry Domanov
date 日付July 1, 2013 04:49:36 UTC 2013 年 7 月 1 日 (月) 13 時 49 分 36 秒 (日本時間)
composite number 合成数
115963115064664622044604039767423805678871905777146411733896207434880773734423530302248846866801510364287331269684791547219992102478156632522313639499723802437611<162>
prime factors 素因数
313581392544581437245941553782081566339<39>
composite cofactor 合成数の残り
369802283622993684945319792290402244826339795397401414357779273338400649394350236655677219575522924572008853605267873533049<123>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=831096275
Step 1 took 219750ms
Step 2 took 66435ms
********** Factor found in step 2: 313581392544581437245941553782081566339
Found probable prime factor of 39 digits: 313581392544581437245941553782081566339

c123

name 名前Dmitry Domanov
date 日付July 2, 2013 09:16:35 UTC 2013 年 7 月 2 日 (火) 18 時 16 分 35 秒 (日本時間)
composite number 合成数
369802283622993684945319792290402244826339795397401414357779273338400649394350236655677219575522924572008853605267873533049<123>
prime factors 素因数
73731025828256126638605268087197937832431018477<47>
5015558639918901343325953242052180831722727265268803984100203016854387602237<76>
factorization results 素因数分解の結果
N=369802283622993684945319792290402244826339795397401414357779273338400649394350236655677219575522924572008853605267873533049
  ( 123 digits)
Divisors found:
 r1=73731025828256126638605268087197937832431018477 (pp47)
 r2=5015558639918901343325953242052180831722727265268803984100203016854387602237 (pp76)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 86.81 hours.
Scaled time: 87.85 units (timescale=1.012).
Factorization parameters were as follows:
n: 369802283622993684945319792290402244826339795397401414357779273338400649394350236655677219575522924572008853605267873533049
skew: 105560.22
c0: -241599807867635911122454644255
c1: -8963001715129913601548901
c2: 211836096397592133219
c3: 4456153501986293
c4: -17734681420
c5: 25752
Y0: -427988642896966194937174
Y1: 3718592853787
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 400000
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2650000, 5450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 723932 x 724161
Total sieving time: 85.07 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 0.79 hours.
Time per square root: 0.65 hours.
Prototype def-par.txt line would be:
gnfs,122,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5300000,5300000,27,27,54,54,2.5,2.5,100000
total time: 86.81 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 6, 2011 06:40:43 UTC 2011 年 5 月 6 日 (金) 15 時 40 分 43 秒 (日本時間)
1000Dmitry DomanovJune 15, 2013 08:10:34 UTC 2013 年 6 月 15 日 (土) 17 時 10 分 34 秒 (日本時間)
4511e61000 / 4192Dmitry DomanovJune 30, 2013 22:46:36 UTC 2013 年 7 月 1 日 (月) 7 時 46 分 36 秒 (日本時間)

25×10197+119

c174

name 名前Serge Batalov
date 日付October 21, 2008 10:01:51 UTC 2008 年 10 月 21 日 (火) 19 時 1 分 51 秒 (日本時間)
composite number 合成数
393203843940310746161060270550399682301848405974356877517837625586964881832939682673489380031874159644001648562442219785458905899869816121814109646832614834042534848020387521<174>
prime factors 素因数
859405617629884678518292762614354083<36>
457529990349271379357800820089302302513147819742197174361744364096811170650975745897790665507102867916025781272624748791884073929721978187<138>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3634545673
Step 1 took 22749ms
Step 2 took 14193ms
********** Factor found in step 2: 859405617629884678518292762614354083
Found probable prime factor of 36 digits: 859405617629884678518292762614354083
Probable prime cofactor 457529990349271379357800820089302302513147819742197174361744364096811170650975745897790665507102867916025781272624748791884073929721978187 has 138 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 KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10198+119

c160

name 名前Eric Jeancolas
date 日付November 9, 2020 08:55:13 UTC 2020 年 11 月 9 日 (月) 17 時 55 分 13 秒 (日本時間)
composite number 合成数
9333580069477224651311154445543048784005115536554840956188020345108972486753247696436903723114757332947016788862468120254664321242410341906141835841807719924283<160>
prime factors 素因数
1085610481530544418336586147782457430731854827897<49>
10549633758446295688932122324369925891496292442534677<53>
814961038947201542096948153738223954328600735490960261617607<60>
factorization results 素因数分解の結果
9333580069477224651311154445543048784005115536554840956188020345108972486753247696436903723114757332947016788862468120254664321242410341906141835841807719924283=1085610481530544418336586147782457430731854827897*10549633758446295688932122324369925891496292442534677*814961038947201542096948153738223954328600735490960261617607
 
cado polynomial
n: 9333580069477224651311154445543048784005115536554840956188020345108972486753247696436903723114757332947016788862468120254664321242410341906141835841807719924283
skew: 1.07
type: snfs
c0: 11
c5: 8
Y0: 5000000000000000000000000000000000000000
Y1: -1
# f(x) = 8*x^5+11
# g(x) = -x+5000000000000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 10549633758446295688932122324369925891496292442534677 1085610481530544418336586147782457430731854827897 814961038947201542096948153738223954328600735490960261617607
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 6.08/2.40325
Info:Generate Free Relations: Total cpu/real time for freerel: 102.01/26.243
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29276778
Info:Lattice Sieving: Average J: 1893.88 for 3347333 special-q, max bucket fill -bkmult 1.0,1s:1.082020
Info:Lattice Sieving: Total time: 920462s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 55.6/140.936
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 140.20000000000002s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 489.2/491.545
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 431.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 422.74/495.46
Info:Filtering - Merging: Merged matrix has 2639043 rows and total weight 451863159 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 364.32/163.278
Info:Filtering - Merging: Total cpu/real time for replay: 103.64/94.507
Info:Linear Algebra: Total cpu/real time for bwc: 124199/31793.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 20441.84, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (82944 iterations)
Info:Linear Algebra: Lingen CPU time 532.9, WCT time 154.36
Info:Linear Algebra: Mksol: WCT time 10916.48, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (41472 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 90.75/39.6184
Info:Square Root: Total cpu/real time for sqrt: 1230.18/382.979
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.83371e+06/494449
Info:root: Cleaning up computation data in /tmp/cado.pvw0lbyl
10549633758446295688932122324369925891496292442534677 1085610481530544418336586147782457430731854827897 814961038947201542096948153738223954328600735490960261617607
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)
351e60--
403e62900300Dmitry DomanovMay 6, 2011 06:40:51 UTC 2011 年 5 月 6 日 (金) 15 時 40 分 51 秒 (日本時間)
1000Dmitry DomanovJune 15, 2013 08:10:41 UTC 2013 年 6 月 15 日 (土) 17 時 10 分 41 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:58 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 58 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:48 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 48 秒 (日本時間)
4511e62100 / 3838Eric JeancolasOctober 11, 2020 05:36:34 UTC 2020 年 10 月 11 日 (日) 14 時 36 分 34 秒 (日本時間)

25×10199+119

c173

name 名前Bob Backstrom
date 日付April 5, 2021 18:48:53 UTC 2021 年 4 月 6 日 (火) 3 時 48 分 53 秒 (日本時間)
composite number 合成数
81415930372720694918720159072094442372350741186654076324334560222136846028667094609930965176856692757896871943256704995661541359043617856464237962721448756837114216890068423<173>
prime factors 素因数
24224663876509192818554959005470455664740772760922868002783664796658427581252126118269<86>
3360869351490578526318112459370121035978699693412621355595058250816322654395468837707667<88>
factorization results 素因数分解の結果
Number: n
N=81415930372720694918720159072094442372350741186654076324334560222136846028667094609930965176856692757896871943256704995661541359043617856464237962721448756837114216890068423  ( 173 digits)
SNFS difficulty: 200 digits.
Divisors found:

Tue Apr  6 04:40:12 2021  p86 factor: 24224663876509192818554959005470455664740772760922868002783664796658427581252126118269
Tue Apr  6 04:40:12 2021  p88 factor: 3360869351490578526318112459370121035978699693412621355595058250816322654395468837707667
Tue Apr  6 04:40:12 2021  elapsed time 01:51:23 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 25x10^199+11 = 27(198)9
#
n: 81415930372720694918720159072094442372350741186654076324334560222136846028667094609930965176856692757896871943256704995661541359043617856464237962721448756837114216890068423
m: 5000000000000000000000000000000000000000
deg: 5
c5: 80
c0: 11
skew: 0.67
# Murphy_E = 1.606e-11
type: snfs
lss: 1
rlim: 15300000
alim: 15300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15300000/15300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 20450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5131460 hash collisions in 45235539 relations (41935162 unique)
Msieve: matrix is 2137583 x 2137808 (746.0 MB)

Sieving start time : 2021/04/05 20:35:19
Sieving end time  : 2021/04/06 02:48:01

Total sieving time: 6hrs 12min 42secs.

Total relation processing time: 1hrs 26min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 12min 25sec.

Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,15300000,15300000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119768] 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)
[    0.153507] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.05 BogoMIPS (lpj=12798104)
[    0.152038] smpboot: Total of 16 processors activated (102384.83 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)
351e60--
403e62900300Dmitry DomanovMay 6, 2011 06:40:58 UTC 2011 年 5 月 6 日 (金) 15 時 40 分 58 秒 (日本時間)
1000Dmitry DomanovJune 15, 2013 08:10:51 UTC 2013 年 6 月 15 日 (土) 17 時 10 分 51 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:00 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 0 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:48 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 48 秒 (日本時間)

25×10201+119

c149

name 名前Eric Jeancolas
date 日付January 4, 2022 20:55:24 UTC 2022 年 1 月 5 日 (水) 5 時 55 分 24 秒 (日本時間)
composite number 合成数
15205302917669195828889356326981401257946226251802745351072420613505763765960931573706864108342684253378121745159642932144555224086067072022784078067<149>
prime factors 素因数
102679204052435075067602298335467752738026994370777301578913<60>
148085516030142975002262249113104123807186004580793868319575261027260400366039936269789459<90>
factorization results 素因数分解の結果
15205302917669195828889356326981401257946226251802745351072420613505763765960931573706864108342684253378121745159642932144555224086067072022784078067=102679204052435075067602298335467752738026994370777301578913*148085516030142975002262249113104123807186004580793868319575261027260400366039936269789459

cado polynomial
n: 15205302917669195828889356326981401257946226251802745351072420613505763765960931573706864108342684253378121745159642932144555224086067072022784078067
skew: 0.54
type: snfs
c0: 11
c5: 250
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 250*x^5+11
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16500000
tasks.lim1 = 16500000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 102679204052435075067602298335467752738026994370777301578913 148085516030142975002262249113104123807186004580793868319575261027260400366039936269789459
Info:Square Root: Total cpu/real time for sqrt: 1036.23/329.576
Info:Filtering - Singleton removal: Total cpu/real time for purge: 647.48/759.775
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 48619510
Info:Lattice Sieving: Average J: 1893.82 for 4653871 special-q, max bucket fill -bkmult 1.0,1s:1.128370
Info:Lattice Sieving: Total time: 1.26645e+06s
Info:Linear Algebra: Total cpu/real time for bwc: 238852/61352.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 154771.95, WCT time 39689.42, iteration CPU time 0.34, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (111616 iterations)
Info:Linear Algebra: Lingen CPU time 778.29, WCT time 197.56
Info:Linear Algebra: Mksol: CPU time 81861.27,  WCT time 20915.24, iteration CPU time 0.36, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (55808 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 235.17/61.5742
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 207.54/244.731
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 244.1s
Info:Filtering - Merging: Merged matrix has 3564214 rows and total weight 609662530 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1033.92/284.637
Info:Filtering - Merging: Total cpu/real time for replay: 143.79/125.018
Info:Generate Factor Base: Total cpu/real time for makefb: 7.02/3.19201
Info:Quadratic Characters: Total cpu/real time for characters: 128.62/55.2449
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 892.06/890.899
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 727.2000000000002s
Info:Square Root: Total cpu/real time for sqrt: 1036.23/329.576
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.62628e+06/697600
Info:root: Cleaning up computation data in /tmp/cado.5iw3m43d
102679204052435075067602298335467752738026994370777301578913 148085516030142975002262249113104123807186004580793868319575261027260400366039936269789459
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-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 KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 6, 2011 06:41:06 UTC 2011 年 5 月 6 日 (金) 15 時 41 分 6 秒 (日本時間)
1000Dmitry DomanovJune 15, 2013 08:11:24 UTC 2013 年 6 月 15 日 (土) 17 時 11 分 24 秒 (日本時間)
4511e65580800Dmitry DomanovJune 18, 2013 22:52:00 UTC 2013 年 6 月 19 日 (水) 7 時 52 分 0 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:24 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 24 秒 (日本時間)
4480Ignacio SantosAugust 25, 2021 15:45:47 UTC 2021 年 8 月 26 日 (木) 0 時 45 分 47 秒 (日本時間)
5043e6900 / 6252yoyo@HomeAugust 27, 2021 21:33:36 UTC 2021 年 8 月 28 日 (土) 6 時 33 分 36 秒 (日本時間)

25×10203+119

c181

name 名前Serge Batalov
date 日付March 20, 2011 19:29:41 UTC 2011 年 3 月 21 日 (月) 4 時 29 分 41 秒 (日本時間)
composite number 合成数
3294449420254729698841304119504207752686291975130005858334128652256672101055674511091860315864406813747889446212029479432834706561669958282083863384196569240964756449146152931299013<181>
prime factors 素因数
12662942801123601758160506017<29>
260164597755460784312486000078947171044435704448923018804095855363734022922429034778642901276488015462087739922799241057558640902080904645928231459015589<153>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=48741470
Step 1 took 9305ms
Step 2 took 3884ms
********** Factor found in step 2: 12662942801123601758160506017
Found probable prime factor of 29 digits: 12662942801123601758160506017
Probable prime cofactor 260164597755460784312486000078947171044435704448923018804095855363734022922429034778642901276488015462087739922799241057558640902080904645928231459015589 has 153 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 19, 2008 03:00:00 UTC 2008 年 9 月 19 日 (金) 12 時 0 分 0 秒 (日本時間)

25×10206+119

c186

name 名前Bob Backstrom
date 日付November 29, 2021 10:27:18 UTC 2021 年 11 月 29 日 (月) 19 時 27 分 18 秒 (日本時間)
composite number 合成数
346920226753629017993372667106417579209445109555021105258729186285519400520257946541577250094700414566931005300827772218980547946849911746263408486825629334120335560461274633227633964467<186>
prime factors 素因数
399192728490991430161477610414431027270264716932327952514912510113887401919894917<81>
869054474176019355817168122551956709966824064909557775605860884066981995862949563175530530822830303496151<105>
factorization results 素因数分解の結果
Number: n
N=346920226753629017993372667106417579209445109555021105258729186285519400520257946541577250094700414566931005300827772218980547946849911746263408486825629334120335560461274633227633964467  ( 186 digits)
SNFS difficulty: 207 digits.
Divisors found:

Mon Nov 29 21:20:37 2021  p81 factor: 399192728490991430161477610414431027270264716932327952514912510113887401919894917
Mon Nov 29 21:20:37 2021  p105 factor: 869054474176019355817168122551956709966824064909557775605860884066981995862949563175530530822830303496151
Mon Nov 29 21:20:37 2021  elapsed time 02:26:01 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 25x10^206+11 = 27(205)9
#
n: 346920226753629017993372667106417579209445109555021105258729186285519400520257946541577250094700414566931005300827772218980547946849911746263408486825629334120335560461274633227633964467
m: 100000000000000000000000000000000000000000
deg: 5
c5: 250
c0: 11
skew: 0.54
# Murphy_E = 7.817e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 51600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10738617 hash collisions in 67098055 relations (58754323 unique)
Msieve: matrix is 2535547 x 2535774 (868.1 MB)

Sieving start time : 2021/11/29 00:32:12
Sieving end time  : 2021/11/29 18:52:47

Total sieving time: 18hrs 20min 35secs.

Total relation processing time: 2hrs 5min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 7sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117806] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239948K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487288K reserved, 0K cma-reserved)
[    0.152615] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798284)
[    0.150213] smpboot: Total of 16 processors activated (102386.27 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 2, 2013 13:00:00 UTC 2013 年 5 月 2 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 08:11:49 UTC 2013 年 6 月 15 日 (土) 17 時 11 分 49 秒 (日本時間)
4511e61800 / 42541500Dmitry DomanovJune 21, 2013 12:03:01 UTC 2013 年 6 月 21 日 (金) 21 時 3 分 1 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:24 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 24 秒 (日本時間)

25×10207+119

c189

name 名前Dmitry Domanov
date 日付May 6, 2013 05:29:11 UTC 2013 年 5 月 6 日 (月) 14 時 29 分 11 秒 (日本時間)
composite number 合成数
139457873302798599329226666145178882878723393273659854520956768549920839002808649037170007344897181684193568716505667667797398704475961469894995394831578940554200105826618037494486609461321<189>
prime factors 素因数
718394284524343213688582831571681616487<39>
composite cofactor 合成数の残り
194124419287571582995155720141779919273938469040234859561551928224084597306971938344510526609134930356056518669799607284488175474524935989814983096783<150>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3990063862
Step 1 took 22797ms
Step 2 took 9284ms
********** Factor found in step 2: 718394284524343213688582831571681616487
Found probable prime factor of 39 digits: 718394284524343213688582831571681616487

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 2, 2013 13:00:00 UTC 2013 年 5 月 2 日 (木) 22 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovJune 15, 2013 08:11:58 UTC 2013 年 6 月 15 日 (土) 17 時 11 分 58 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:01 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 1 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:49 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 49 秒 (日本時間)
4511e64480Ignacio SantosOctober 18, 2024 14:56:16 UTC 2024 年 10 月 18 日 (金) 23 時 56 分 16 秒 (日本時間)

25×10211+119

c200

name 名前Dmitry Domanov
date 日付May 6, 2013 05:31:40 UTC 2013 年 5 月 6 日 (月) 14 時 31 分 40 秒 (日本時間)
composite number 合成数
65430281776484556757073999897500318232631382674431153099242678853284859984675673415644556782271431724216374265420364935438164851749203183675311040852938376274119925077179614951516151112966887873559823<200>
prime factors 素因数
296336030960696173127343182109798226404523<42>
composite cofactor 合成数の残り
220797591046776040033674360836177136403292746356143195570767086818885106120718908573205022378350254015903438746405704676346951141756663670641352180748179661101<159>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3341927497
Step 1 took 26631ms
Step 2 took 9962ms
********** Factor found in step 2: 296336030960696173127343182109798226404523
Found probable prime factor of 42 digits: 296336030960696173127343182109798226404523

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 2, 2013 13:00:00 UTC 2013 年 5 月 2 日 (木) 22 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovJune 15, 2013 08:12:06 UTC 2013 年 6 月 15 日 (土) 17 時 12 分 6 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:40:02 UTC 2014 年 1 月 9 日 (木) 13 時 40 分 2 秒 (日本時間)
4511e6595 / 4188295CypFebruary 19, 2014 00:02:42 UTC 2014 年 2 月 19 日 (水) 9 時 2 分 42 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:24 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 24 秒 (日本時間)

25×10213+119

c205

name 名前Bob Backstrom
date 日付August 3, 2020 17:33:22 UTC 2020 年 8 月 4 日 (火) 2 時 33 分 22 秒 (日本時間)
composite number 合成数
1148789989537551865241319309389103305692542317096067309819618879398880451889846291706862673313937018861958621724084623803902453848645253868168305608284774829431383284240411179460425575149052476378454902141<205>
prime factors 素因数
90567274706488805042893396341686209211675409107959415231<56>
57474949817073029647210481752765654581737092051411695198223481<62>
220694109847645686144553146614953690093848970180625271180831616704808280559272989992731<87>
factorization results 素因数分解の結果
Number: n
N=1148789989537551865241319309389103305692542317096067309819618879398880451889846291706862673313937018861958621724084623803902453848645253868168305608284774829431383284240411179460425575149052476378454902141  ( 205 digits)
SNFS difficulty: 215 digits.
Divisors found:

Tue Aug  4 03:12:23 2020  found factor: 57474949817073029647210481752765654581737092051411695198223481
Tue Aug  4 03:17:30 2020  found factor: 57474949817073029647210481752765654581737092051411695198223481
Tue Aug  4 03:22:36 2020  found factor: 57474949817073029647210481752765654581737092051411695198223481
Tue Aug  4 03:27:42 2020  p56 factor: 90567274706488805042893396341686209211675409107959415231
Tue Aug  4 03:27:42 2020  p62 factor: 57474949817073029647210481752765654581737092051411695198223481
Tue Aug  4 03:27:42 2020  p87 factor: 220694109847645686144553146614953690093848970180625271180831616704808280559272989992731
Tue Aug  4 03:27:42 2020  elapsed time 04:35:32 (Msieve 1.54 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.126).
Factorization parameters were as follows:
#
# N = 25x10^213+11 = 27(212)9
#
n: 1148789989537551865241319309389103305692542317096067309819618879398880451889846291706862673313937018861958621724084623803902453848645253868168305608284774829431383284240411179460425575149052476378454902141
m: 500000000000000000000000000000000000
deg: 6
c6: 8
c0: 55
skew: 1.38
# Murphy_E = 5.089e-12
type: snfs
lss: 1
rlim: 27000000
alim: 27000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 27000000/27000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 67900000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9732149 hash collisions in 63224205 relations (56247368 unique)
Msieve: matrix is 3093579 x 3093804 (1073.1 MB)

Sieving start time: 2020/08/02 17:31:02
Sieving end time  : 2020/08/03 22:51:18

Total sieving time: 29hrs 20min 16secs.

Total relation processing time: 3hrs 55min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 20min 25sec.

Prototype def-par.txt line would be:
snfs,215,6,0,0,0,0,0,0,0,0,27000000,27000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.154206] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283136K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2720K bss, 420324K reserved, 0K cma-reserved)
[    0.188728] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.50 BogoMIPS (lpj=11977004)
[    0.186225] smpboot: Total of 16 processors activated (95816.03 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 2, 2013 13:00:00 UTC 2013 年 5 月 2 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 08:14:08 UTC 2013 年 6 月 15 日 (土) 17 時 14 分 8 秒 (日本時間)
4511e61800 / 42541500Dmitry DomanovJune 18, 2013 12:51:23 UTC 2013 年 6 月 18 日 (火) 21 時 51 分 23 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:25 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 25 秒 (日本時間)

25×10215+119

c162

name 名前Dmitry Domanov
date 日付June 24, 2013 05:03:58 UTC 2013 年 6 月 24 日 (月) 14 時 3 分 58 秒 (日本時間)
composite number 合成数
585035737376557218026121176867801816202339513807405384926386905794510779785709906175236003043764423985235542327981886103295200174184314406220127035259217478218783<162>
prime factors 素因数
74738737804887621151170312469294068433<38>
7827744414199863151305756444123265055346155888815212347141753088628051226737645770685235498588894322863091679190049302483951<124>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2460122084
Step 1 took 75093ms
Step 2 took 28242ms
********** Factor found in step 2: 74738737804887621151170312469294068433
Found probable prime factor of 38 digits: 74738737804887621151170312469294068433

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 2, 2013 13:00:00 UTC 2013 年 5 月 2 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 08:14:17 UTC 2013 年 6 月 15 日 (土) 17 時 14 分 17 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 21, 2013 12:02:20 UTC 2013 年 6 月 21 日 (金) 21 時 2 分 20 秒 (日本時間)

25×10217+119

c196

composite cofactor 合成数の残り
1362583800572963765812354586632856226626042306104613017095791770825425159102931655538564265056924650452635778222234617529091840585160254231610341072919526236124366544852643772226843739299085425969<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 2, 2013 13:00:00 UTC 2013 年 5 月 2 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 08:14:30 UTC 2013 年 6 月 15 日 (土) 17 時 14 分 30 秒 (日本時間)
4511e61800 / 42541500Dmitry DomanovJune 21, 2013 12:02:33 UTC 2013 年 6 月 21 日 (金) 21 時 2 分 33 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:25 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 25 秒 (日本時間)

25×10220+119

c174

name 名前Erik Branger
date 日付December 15, 2018 09:00:13 UTC 2018 年 12 月 15 日 (土) 18 時 0 分 13 秒 (日本時間)
composite number 合成数
883410266136934202538676798814490891779073521664562716865117234638070443741768244585743776039420918587775483873701421657593613767280106144722322720614061662470028767216539233<174>
prime factors 素因数
1295959539980125243514488998846861214427537424370141<52>
681665004873903801437535855944177570994612134008044430237249656559363408166388403146873829629121234045449095012059535331413<123>
factorization results 素因数分解の結果
Number: 27779_220
N = 883410266136934202538676798814490891779073521664562716865117234638070443741768244585743776039420918587775483873701421657593613767280106144722322720614061662470028767216539233 (174 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=1295959539980125243514488998846861214427537424370141 (pp52)
r2=681665004873903801437535855944177570994612134008044430237249656559363408166388403146873829629121234045449095012059535331413 (pp123)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 49.03 hours.
Factorization parameters were as follows:
n: 883410266136934202538676798814490891779073521664562716865117234638070443741768244585743776039420918587775483873701421657593613767280106144722322720614061662470028767216539233
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 25
c0: 11
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: 31951402
Relations: 7865190 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 20.20 hours.
Total relation processing time: 0.35 hours.
Pruned matrix : 6920822 x 6921047
Matrix solve time: 28.30 hours.
time per square root: 0.18 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: 49.03 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 KamadaMay 2, 2013 13:00:00 UTC 2013 年 5 月 2 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 08:14:41 UTC 2013 年 6 月 15 日 (土) 17 時 14 分 41 秒 (日本時間)
4511e61800 / 42541500Dmitry DomanovJune 21, 2013 12:02:45 UTC 2013 年 6 月 21 日 (金) 21 時 2 分 45 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:25 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 25 秒 (日本時間)

25×10221+119

c221

name 名前matsui
date 日付September 3, 2013 19:27:33 UTC 2013 年 9 月 4 日 (水) 4 時 27 分 33 秒 (日本時間)
composite number 合成数
92592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592593<221>
prime factors 素因数
5885118798266283001521429969859905491539454189<46>
15733342990437127076858176199461870791096174533563442633837723602230067322108765022245446183573755818181306384237385828407962651299841866747077830707609110535546847452278408437<176>
factorization results 素因数分解の結果
N=92592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592593
  ( 221 digits)
SNFS difficulty: 222 digits.
Divisors found:
 r1=5885118798266283001521429969859905491539454189 (pp46)
 r2=15733342990437127076858176199461870791096174533563442633837723602230067322108765022245446183573755818181306384237385828407962651299841866747077830707609110535546847452278408437 (pp176)
Version: Msieve v. 1.52 (SVN unknown)
Total time:
Scaled time: 143.05 units (timescale=1.762).
Factorization parameters were as follows:
n: 92592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592593
m: 10000000000000000000000000000000000000
deg: 6
c6: 5
c0: 22
skew: 1.28
# Murphy_E = 2.963e-12
type: snfs
lss: 1
rlim: 36000000
alim: 36000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 36000000/36000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved rational special-q in [18000000, 46900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 5886898 x 5887124
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,222.000,6,0,0,0,0,0,0,0,0,36000000,36000000,29,29,58,58,2.6,2.6,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 2, 2013 13:00:00 UTC 2013 年 5 月 2 日 (木) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 20, 2013 20:41:51 UTC 2013 年 5 月 21 日 (火) 5 時 41 分 51 秒 (日本時間)
403e61110110Ignacio SantosMay 20, 2013 20:41:51 UTC 2013 年 5 月 21 日 (火) 5 時 41 分 51 秒 (日本時間)
1000Dmitry DomanovJune 7, 2013 16:28:54 UTC 2013 年 6 月 8 日 (土) 1 時 28 分 54 秒 (日本時間)
4511e62032 / 421632Ignacio SantosMay 20, 2013 20:41:51 UTC 2013 年 5 月 21 日 (火) 5 時 41 分 51 秒 (日本時間)
2000Dmitry DomanovJune 7, 2013 16:28:54 UTC 2013 年 6 月 8 日 (土) 1 時 28 分 54 秒 (日本時間)

25×10222+119

c215

name 名前Dmitry Domanov
date 日付June 19, 2013 05:13:40 UTC 2013 年 6 月 19 日 (水) 14 時 13 分 40 秒 (日本時間)
composite number 合成数
28023586385522524748382971528712161212733658939831924101716745191053652984393858665120293783496781965823176108784217453327465104668728482978942744269712114896471024403623920964276721396742087026711709268509415430129<215>
prime factors 素因数
15333528732028980568750015357477220227<38>
composite cofactor 合成数の残り
1827601909206085009708877053598966733130720641750970615304268913468952928687991241937720495892020547733851723055487055651962855691901910174835477567634675058721563319297344892027<178>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1410464397
Step 1 took 134336ms
Step 2 took 30081ms
********** Factor found in step 2: 15333528732028980568750015357477220227
Found probable prime factor of 38 digits: 15333528732028980568750015357477220227

c178

name 名前Erik Branger
date 日付July 31, 2020 08:14:21 UTC 2020 年 7 月 31 日 (金) 17 時 14 分 21 秒 (日本時間)
composite number 合成数
1827601909206085009708877053598966733130720641750970615304268913468952928687991241937720495892020547733851723055487055651962855691901910174835477567634675058721563319297344892027<178>
prime factors 素因数
1440983943018257746788218009430978354791955393573766581360815535112189533378062413<82>
1268301370088846773806587038756387598992863203101639394589695115167435334811706033974024593787879<97>
factorization results 素因数分解の結果
Number: 27779_222
N = 1827601909206085009708877053598966733130720641750970615304268913468952928687991241937720495892020547733851723055487055651962855691901910174835477567634675058721563319297344892027 (178 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=1440983943018257746788218009430978354791955393573766581360815535112189533378062413 (pp82)
r2=1268301370088846773806587038756387598992863203101639394589695115167435334811706033974024593787879 (pp97)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 68.35 hours.
Factorization parameters were as follows:
n: 1827601909206085009708877053598966733130720641750970615304268913468952928687991241937720495892020547733851723055487055651962855691901910174835477567634675058721563319297344892027
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 2500
c0: 11
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
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: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 36518407
Relations: 9531388 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 33.11 hours.
Total relation processing time: 0.41 hours.
Pruned matrix : 8122718 x 8122943
Matrix solve time: 34.58 hours.
time per square root: 0.25 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 68.35 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-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 KamadaMay 2, 2013 13:00:00 UTC 2013 年 5 月 2 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 08:14:59 UTC 2013 年 6 月 15 日 (土) 17 時 14 分 59 秒 (日本時間)
4511e61800 / 42541500Dmitry DomanovJune 18, 2013 12:50:43 UTC 2013 年 6 月 18 日 (火) 21 時 50 分 43 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:26 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 26 秒 (日本時間)

25×10224+119

c205

name 名前Dmitry Domanov
date 日付May 6, 2013 05:25:53 UTC 2013 年 5 月 6 日 (月) 14 時 25 分 53 秒 (日本時間)
composite number 合成数
3321617535113696747367932259469654169382068180631405906731679408436660287449695562960304308726726756839623852110207362676555317256022995900589354504095634704922800746368056901490011426646804735539348690983<205>
prime factors 素因数
639994674968304088583271549541<30>
5190070581881327004443921481260217036542792787314026115624067850175241078822238487481174044191945173790115273421201653131399239142943134702095773572185652305153057027949463963<175>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3068808142
Step 1 took 26777ms
Step 2 took 10666ms
********** Factor found in step 2: 639994674968304088583271549541
Found probable prime factor of 30 digits: 639994674968304088583271549541

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 2, 2013 13:00:00 UTC 2013 年 5 月 2 日 (木) 22 時 0 分 0 秒 (日本時間)

25×10226+119

c205

composite cofactor 合成数の残り
4695128656827946391382868034112764515271305078786884224434389489032624229963920832869623702950965490479532293274626466961787629464404658375473796589854480735158780708924789408806204573986830692354333691621<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 2, 2013 13:00:00 UTC 2013 年 5 月 2 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 08:15:13 UTC 2013 年 6 月 15 日 (土) 17 時 15 分 13 秒 (日本時間)
4511e61800 / 42541500Dmitry DomanovJune 18, 2013 12:51:03 UTC 2013 年 6 月 18 日 (火) 21 時 51 分 3 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:26 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 26 秒 (日本時間)

25×10227+119

c187

composite cofactor 合成数の残り
3523686891808043085428661452188459724340642596792145465402527637404145832272466384991350419062552341811221798589121805006163265134158557627693524204737434567311656787230855155971722453831<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 2, 2013 13:00:00 UTC 2013 年 5 月 2 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 08:15:21 UTC 2013 年 6 月 15 日 (土) 17 時 15 分 21 秒 (日本時間)
4511e61800 / 42541500Dmitry DomanovJune 21, 2013 12:01:50 UTC 2013 年 6 月 21 日 (金) 21 時 1 分 50 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:27 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 27 秒 (日本時間)

25×10228+119

c176

composite cofactor 合成数の残り
22461981058945244837864256739822043011215533136880753176488939702109617455882836746376288337309319353510802141744338132428317984336346674934483859557906578663233856287375648367<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 2, 2013 13:00:00 UTC 2013 年 5 月 2 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 08:15:29 UTC 2013 年 6 月 15 日 (土) 17 時 15 分 29 秒 (日本時間)
4511e61800 / 42541500Dmitry DomanovJune 21, 2013 12:02:01 UTC 2013 年 6 月 21 日 (金) 21 時 2 分 1 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:27 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 27 秒 (日本時間)

25×10229+119

c202

name 名前Dmitry Domanov
date 日付June 17, 2013 05:55:26 UTC 2013 年 6 月 17 日 (月) 14 時 55 分 26 秒 (日本時間)
composite number 合成数
7500788747884834036539259635072322008778290491012321839104827485002373131995177723168298395933758189792669770659822567538979781058930460990783482878462160069913623825063948698191882802033788522602937363<202>
prime factors 素因数
471950449145084777127102932742104745851<39>
54216670002192350547008301608859083135714659<44>
293141759882750317158571079577706102319612986357724709957087918432281431646521359234133731260239995420125736517102654307<120>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=720614285
Step 1 took 115411ms
********** Factor found in step 1: 54216670002192350547008301608859083135714659
Found probable prime factor of 44 digits: 54216670002192350547008301608859083135714659

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1576234540
Step 1 took 99631ms
Step 2 took 24370ms
********** Factor found in step 2: 471950449145084777127102932742104745851
Found probable prime factor of 39 digits: 471950449145084777127102932742104745851

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 2, 2013 13:00:00 UTC 2013 年 5 月 2 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 15:56:33 UTC 2013 年 6 月 15 日 (土) 0 時 56 分 33 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 15:56:33 UTC 2013 年 6 月 15 日 (土) 0 時 56 分 33 秒 (日本時間)

25×10231+119

c212

composite cofactor 合成数の残り
12006646704780539017423582285121548969329162395600456160365056081418393787533239984490434443742609456245803141301005496512286503337815547070192892734716933072437333975283093951597169046704960062536454088817902471<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 2, 2013 13:00:00 UTC 2013 年 5 月 2 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 15:56:19 UTC 2013 年 6 月 15 日 (土) 0 時 56 分 19 秒 (日本時間)
4511e61800 / 42541500Dmitry DomanovJune 14, 2013 15:56:19 UTC 2013 年 6 月 15 日 (土) 0 時 56 分 19 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:27 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 27 秒 (日本時間)

25×10232+119

c207

name 名前Seth Troisi
date 日付December 6, 2023 19:10:13 UTC 2023 年 12 月 7 日 (木) 4 時 10 分 13 秒 (日本時間)
composite number 合成数
766787969364495450750952521837154618813021627983221603752683884888292157780646868882494774252890606493713183119110402627186838231802733027894082919520170758976484347630955284686544149601655822696534508146993<207>
prime factors 素因数
24021249415584369844296406893461923906789<41>
composite cofactor 合成数の残り
31921235906531285774691414460606174883817475888790443311776880975145111244219410852904249158492013679993023058007288673050947177713639952955415921557435231159823942237<167>
factorization results 素因数分解の結果
vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
WorkUnit(uid=576,
         n='766787969364495450750952521837154618813021627983221603752683884888292157780646868882494774252890606493713183119110402627186838231802733027894082919520170758976484347630955284686544149601655822696534508146993',
         params=(),
         B1='10000000000',
         B2='8e15',
         resume_line='METHOD=P-1; B1=10000000000; '
                     'N=766787969364495450750952521837154618813021627983221603752683884888292157780646868882494774252890606493713183119110402627186838231802733027894082919520170758976484347630955284686544149601655822696534508146993; '
                     'X=0x1fab3454e9466f44b0963622dc949a7a9070e1be44c9a7b3605fef174355e82ab538d595f4dcbb194bb9f0c75c727d50a27dbb3a7b61c737c1f13222272277b994d8b9b65c3832e2aa1672bcf4c7bb8650efcb04ca6f; '
                     'CHECKSUM=236453562; PROGRAM=GMP-ECM 7.0.6-dev; X0=0x3; '
                     'WHO=five@five; TIME=Wed Nov 22 12:58:40 2023;\n')
------------------------------------ result ------------------------------------
EcmOutput(factors=(24021249415584369844296406893461923906789,),
          exit_status=6,
          resume_line='',
          using='Using B1=10000000000-10000000000, B2=8344913552924776, '
                'polynomial x^1',
          version='GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, '
                  '--enable-asm-redc, --enable-assert] [ECM]',
          output='OMMITTED<1519>',
          timings=(('0',), ('240453',)),
          runtime=0)
------------------------------------ output ------------------------------------
GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/params.h
Running on sethtroisi-linux.sea.corp.google.com
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Wed Nov 22 12:58:40 2023
Input number is 766787969364495450750952521837154618813021627983221603752683884888292157780646868882494774252890606493713183119110402627186838231802733027894082919520170758976484347630955284686544149601655822696534508146993 (207 digits)
Using mpz_mod
Using lmax = 33554432 with NTT which takes about 9984MB of memory
Using B1=10000000000-10000000000, B2=8344913552924776, polynomial x^1
P = 240705465, l = 33554432, s_1 = 16220160, k = s_2 = 5, m_1 = 16
Probability of finding a factor of n digits (assuming one exists):
20      25      30      35      40      45      50      55      60      65
0.81    0.55    0.3     0.14    0.055   0.019   0.0063  0.0018  0.0005  0.00013
Step 1 took 0ms
Computing F from factored S_1 took 93639ms
Computing h took 11190ms
Computing DCT-I of h took 27687ms
Multi-point evaluation 1 of 5:
Computing g_i took 37662ms
Computing g*h took 54788ms
Computing gcd of coefficients and N took 14086ms
Step 2 took 240453ms
********** Factor found in step 2: 24021249415584369844296406893461923906789
Found prime factor of 41 digits: 24021249415584369844296406893461923906789
Composite cofactor 31921235906531285774691414460606174883817475888790443311776880975145111244219410852904249158492013679993023058007288673050947177713639952955415921557435231159823942237 has 167 digits
Peak memory usage: 10392MB
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
software ソフトウェア
gmp-ecm + ecm-db
execution environment 実行環境
1080 TI for stage 1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 2, 2013 13:00:00 UTC 2013 年 5 月 2 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 15:56:06 UTC 2013 年 6 月 15 日 (土) 0 時 56 分 6 秒 (日本時間)
4511e61800 / 42541500Dmitry DomanovJune 14, 2013 15:56:06 UTC 2013 年 6 月 15 日 (土) 0 時 56 分 6 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:28 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 28 秒 (日本時間)

25×10233+119

c202

composite cofactor 合成数の残り
1862372409163886273048090339022329245534926470856010443254940763534538949235372540840206090138178819699473182731933491978010423090441592214561613910582468360474373324435079676104270386337544076367800469<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 2, 2013 13:00:00 UTC 2013 年 5 月 2 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 08:15:51 UTC 2013 年 6 月 15 日 (土) 17 時 15 分 51 秒 (日本時間)
4511e61800 / 42541500Dmitry DomanovJune 21, 2013 12:01:31 UTC 2013 年 6 月 21 日 (金) 21 時 1 分 31 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:28 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 28 秒 (日本時間)

25×10234+119

c235

name 名前matsui
date 日付November 15, 2014 09:28:50 UTC 2014 年 11 月 15 日 (土) 18 時 28 分 50 秒 (日本時間)
composite number 合成数
2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<235>
prime factors 素因数
3247034955071700426792071566042327892507686187062566977<55>
860656439175542981000087416221069603739327676522442668752142138737510621<72>
993987019423717394411116078009826005112916120079829319169067896303139226446498836548401716870557510617934287<108>
factorization results 素因数分解の結果
N=2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
  ( 235 digits)
SNFS difficulty: 235 digits.
Divisors found:
 r1=3247034955071700426792071566042327892507686187062566977 (pp55)
 r2=860656439175542981000087416221069603739327676522442668752142138737510621 (pp72)
 r3=993987019423717394411116078009826005112916120079829319169067896303139226446498836548401716870557510617934287 (pp108)
Version: Msieve v. 1.53 (SVN Unversioned directory)
Total time:
Scaled time: 201.48 units (timescale=1.816).
Factorization parameters were as follows:
n: 2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
m: 1000000000000000000000000000000000000000
deg: 6
c6: 25
c0: 11
skew: 0.87
# Murphy_E = 7.074e-13
type: snfs
lss: 1
rlim: 59000000
alim: 59000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
qintsize: 160000
Factor base limits: 59000000/59000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved rational special-q in [29500000, 69340001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 8670628 x 8670851
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,235.000,6,0,0,0,0,0,0,0,0,59000000,59000000,30,30,60,60,2.7,2.7,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 2, 2013 13:00:00 UTC 2013 年 5 月 2 日 (木) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 31, 2013 15:04:14 UTC 2013 年 6 月 1 日 (土) 0 時 4 分 14 秒 (日本時間)
403e61110110Ignacio SantosMay 31, 2013 15:04:14 UTC 2013 年 6 月 1 日 (土) 0 時 4 分 14 秒 (日本時間)
1000Dmitry DomanovJune 7, 2013 16:28:11 UTC 2013 年 6 月 8 日 (土) 1 時 28 分 11 秒 (日本時間)
4511e6328232Ignacio SantosMay 31, 2013 15:04:14 UTC 2013 年 6 月 1 日 (土) 0 時 4 分 14 秒 (日本時間)
2000Dmitry DomanovJune 7, 2013 16:28:11 UTC 2013 年 6 月 8 日 (土) 1 時 28 分 11 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:16:30 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 30 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:14 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 14 秒 (日本時間)
5043e60 / 1951--
5511e72000 / 17555Serge BatalovJanuary 28, 2014 06:04:34 UTC 2014 年 1 月 28 日 (火) 15 時 4 分 34 秒 (日本時間)

25×10235+119

c234

composite cofactor 合成数の残り
391236306729264475743348982785602503912363067292644757433489827856025039123630672926447574334898278560250391236306729264475743348982785602503912363067292644757433489827856025039123630672926447574334898278560250391236306729264475743349<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 2, 2013 13:00:00 UTC 2013 年 5 月 2 日 (木) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 31, 2013 16:29:36 UTC 2013 年 6 月 1 日 (土) 1 時 29 分 36 秒 (日本時間)
403e61110110Ignacio SantosMay 31, 2013 16:29:36 UTC 2013 年 6 月 1 日 (土) 1 時 29 分 36 秒 (日本時間)
1000Dmitry DomanovJune 7, 2013 14:51:38 UTC 2013 年 6 月 7 日 (金) 23 時 51 分 38 秒 (日本時間)
4511e6448232Ignacio SantosMay 31, 2013 16:29:36 UTC 2013 年 6 月 1 日 (土) 1 時 29 分 36 秒 (日本時間)
1500Dmitry DomanovJune 7, 2013 14:51:38 UTC 2013 年 6 月 7 日 (金) 23 時 51 分 38 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:16:44 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 44 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:25 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 25 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:24:35 UTC 2014 年 2 月 24 日 (月) 4 時 24 分 35 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:12 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 12 秒 (日本時間)

25×10236+119

c164

name 名前Dmitry Domanov
date 日付May 6, 2013 05:26:41 UTC 2013 年 5 月 6 日 (月) 14 時 26 分 41 秒 (日本時間)
composite number 合成数
17793508249393882694820022475773759857634656376891959131812498796373222701902850570707384056918362695938152420614798386205244348249363201587492943897461508284775039<164>
prime factors 素因数
377505561980313418914282409636326841<36>
composite cofactor 合成数の残り
47134426724875111663833155810449408789046433511487715825349181284827762618528755670766490372741798238528351903752046570444850679<128>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2712605882
Step 1 took 19436ms
Step 2 took 7963ms
********** Factor found in step 2: 377505561980313418914282409636326841
Found probable prime factor of 36 digits: 377505561980313418914282409636326841

c128

name 名前Dmitry Domanov
date 日付May 8, 2013 17:21:56 UTC 2013 年 5 月 9 日 (木) 2 時 21 分 56 秒 (日本時間)
composite number 合成数
47134426724875111663833155810449408789046433511487715825349181284827762618528755670766490372741798238528351903752046570444850679<128>
prime factors 素因数
125887347050821178581845962825687467030194733321<48>
374417507629633124641334267555879982279839486154251392141828291082501048510303999<81>
factorization results 素因数分解の結果
N=47134426724875111663833155810449408789046433511487715825349181284827762618528755670766490372741798238528351903752046570444850679
  ( 128 digits)
Divisors found:
 r1=125887347050821178581845962825687467030194733321 (pp48)
 r2=374417507629633124641334267555879982279839486154251392141828291082501048510303999 (pp81)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 103.01 hours.
Scaled time: 190.37 units (timescale=1.848).
Factorization parameters were as follows:
n: 47134426724875111663833155810449408789046433511487715825349181284827762618528755670766490372741798238528351903752046570444850679
skew: 136258.48
c0: -297560304923687103627242441145
c1: -6258275724739542612029136
c2: -142570365512948657102
c3: -3812167922247065
c4: 22885105716
c5: 44460
Y0: -4027852490941061566480918
Y1: 17735430711649
type: gnfs
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2900000, 8100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 886239 x 886464
Total sieving time: 101.77 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.82 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
gnfs,127,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5800000,5800000,27,27,54,54,2.5,2.5,100000
total time: 103.01 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 2, 2013 13:00:00 UTC 2013 年 5 月 2 日 (木) 22 時 0 分 0 秒 (日本時間)

25×10237+119

c211

name 名前Dmitry Domanov
date 日付June 17, 2013 05:56:30 UTC 2013 年 6 月 17 日 (月) 14 時 56 分 30 秒 (日本時間)
composite number 合成数
3295245386441668603805424046618585077309050319236472367501280445289948859336063959758229024633285594810937547462546201796534730923352039702348671403710573774719166520472525905212335593596692285768046246013311103<211>
prime factors 素因数
8931266809924547922526831210319539789118767<43>
composite cofactor 合成数の残り
368956101813008888062052817004848781814852407073381332633894682304140405541636596174198779949948421779835569110711064793876015735026608853522064038143611545319300146609<168>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=918723061
Step 1 took 134893ms
Step 2 took 36398ms
********** Factor found in step 2: 8931266809924547922526831210319539789118767
Found probable prime factor of 43 digits: 8931266809924547922526831210319539789118767

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 2, 2013 13:00:00 UTC 2013 年 5 月 2 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 15:54:58 UTC 2013 年 6 月 15 日 (土) 0 時 54 分 58 秒 (日本時間)
4511e61800 / 42541500Dmitry DomanovJune 14, 2013 15:54:58 UTC 2013 年 6 月 15 日 (土) 0 時 54 分 58 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:29 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 29 秒 (日本時間)

25×10238+119

c181

composite cofactor 合成数の残り
2775778458879785570533934877532891354402058697417403835916881182054188342424797288066441984060394980150043542959559985461926447152469126450103838412242801327949196950789247088826897<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 2, 2013 13:00:00 UTC 2013 年 5 月 2 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 08:18:33 UTC 2013 年 6 月 15 日 (土) 17 時 18 分 33 秒 (日本時間)
4511e61800 / 42541500Dmitry DomanovJune 21, 2013 12:01:13 UTC 2013 年 6 月 21 日 (金) 21 時 1 分 13 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:29 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 29 秒 (日本時間)

25×10240+119

c196

composite cofactor 合成数の残り
1397940163546030811131205588136152171573681037443006778681915974912799869262908646140214379115084343467107571412877875610797308636668477150564089244220455290994931275339501269109283719240403884663<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 2, 2013 13:00:00 UTC 2013 年 5 月 2 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 08:18:43 UTC 2013 年 6 月 15 日 (土) 17 時 18 分 43 秒 (日本時間)
4511e61800 / 42541500Dmitry DomanovJune 21, 2013 12:01:00 UTC 2013 年 6 月 21 日 (金) 21 時 1 分 0 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:29 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 29 秒 (日本時間)

25×10242+119

c208

composite cofactor 合成数の残り
1996858668087231574109752424333340760212278720463194827499930201622479688823584992991250948002228134626339953442322214308494676276287726663739846486945323523454746688771624873302986023282193735871235694684039<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 2, 2013 13:00:00 UTC 2013 年 5 月 2 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 15:55:18 UTC 2013 年 6 月 15 日 (土) 0 時 55 分 18 秒 (日本時間)
4511e61800 / 42541500Dmitry DomanovJune 14, 2013 15:55:18 UTC 2013 年 6 月 15 日 (土) 0 時 55 分 18 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:30 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 30 秒 (日本時間)

25×10243+119

c195

composite cofactor 合成数の残り
143447720646178224009922711221000145987204316325919408488210396917158183228614317349803364882166652912158152049766809906934766385703614144856440612387024999264642118606789540318089446063276376261<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 2, 2013 13:00:00 UTC 2013 年 5 月 2 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 08:18:55 UTC 2013 年 6 月 15 日 (土) 17 時 18 分 55 秒 (日本時間)
4511e61800 / 42541500Dmitry DomanovJune 21, 2013 12:00:34 UTC 2013 年 6 月 21 日 (金) 21 時 0 分 34 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:30 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 30 秒 (日本時間)

25×10244+119

c237

name 名前Dmitry Domanov
date 日付May 6, 2013 05:32:10 UTC 2013 年 5 月 6 日 (月) 14 時 32 分 10 秒 (日本時間)
composite number 合成数
742574821341473236544527158071614099928727371617716862167161665557423250043200775381182888482450956475132293491553572298603913890298964217134212417763291509351076903243549294853771438458112175615879898395922841260217075828215010139517601<237>
prime factors 素因数
215759429386324833272418780883305107<36>
3441679575504748616852179859120966074012745893469411160951504944408949074091857175595438352232024150050408534743840999015778030927262086945037791923635335554620131509735611230628711319291533018573714043<202>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3647655137
Step 1 took 34918ms
Step 2 took 12198ms
********** Factor found in step 2: 215759429386324833272418780883305107
Found probable prime factor of 36 digits: 215759429386324833272418780883305107

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 2, 2013 13:00:00 UTC 2013 年 5 月 2 日 (木) 22 時 0 分 0 秒 (日本時間)

25×10245+119

c212

name 名前Dmitry Domanov
date 日付June 17, 2013 06:52:14 UTC 2013 年 6 月 17 日 (月) 15 時 52 分 14 秒 (日本時間)
composite number 合成数
45203990406458856380130411424642521624759396403687174705165701943944637665135423410517102294585691791641892615157816927407416267556962548710926695759406650834049994016706106116957304376506550830899138691143166301<212>
prime factors 素因数
2852767645442951702089269621191061485204119<43>
composite cofactor 合成数の残り
15845661485494025803983923193157247185116283380437704147396098228188630933847368695842969425931344865553894113829245112823013312929531163239672014056199555189706747291179<170>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2929350442
Step 1 took 139135ms
Step 2 took 42841ms
********** Factor found in step 2: 2852767645442951702089269621191061485204119
Found probable prime factor of 43 digits: 2852767645442951702089269621191061485204119

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 2, 2013 13:00:00 UTC 2013 年 5 月 2 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 15:55:35 UTC 2013 年 6 月 15 日 (土) 0 時 55 分 35 秒 (日本時間)
4511e61500Dmitry DomanovJune 14, 2013 15:55:35 UTC 2013 年 6 月 15 日 (土) 0 時 55 分 35 秒 (日本時間)
5043e6800 / 2791Dmitry DomanovJune 27, 2013 05:34:01 UTC 2013 年 6 月 27 日 (木) 14 時 34 分 1 秒 (日本時間)
5511e71820 / 17382900Serge BatalovJune 5, 2014 02:34:33 UTC 2014 年 6 月 5 日 (木) 11 時 34 分 33 秒 (日本時間)
920Serge BatalovJune 5, 2014 15:28:33 UTC 2014 年 6 月 6 日 (金) 0 時 28 分 33 秒 (日本時間)

25×10246+119

c211

composite cofactor 合成数の残り
7489960616959439737568319478724148261680091644124990388415074020050091303012144476800130206292468875180042998300122100526490756194434574806888145263647511101086888092258913916226602791316401179461401318361748481<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 2, 2013 13:00:00 UTC 2013 年 5 月 2 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 15:55:47 UTC 2013 年 6 月 15 日 (土) 0 時 55 分 47 秒 (日本時間)
4511e61800 / 42541500Dmitry DomanovJune 14, 2013 15:55:47 UTC 2013 年 6 月 15 日 (土) 0 時 55 分 47 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:30 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 30 秒 (日本時間)

25×10247+119

c233

name 名前Dmitry Domanov
date 日付May 6, 2013 05:27:58 UTC 2013 年 5 月 6 日 (月) 14 時 27 分 58 秒 (日本時間)
composite number 合成数
18742019222454628384733503928250702795885039292404747283866367549758911665616332277757423438346907298961866500408886311622097108323703625520563930197304867480702349742346307803532433426700952578983793623064451466784720648582127355643<233>
prime factors 素因数
67525732366405726850998131615127<32>
277553734934074470988402989781456769838536457591984612284057553917093475020192534496140908382442436013557722951367756776453015921612375346668244477264412584884470790203812062005061616961254082137128509<201>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1539972954
Step 1 took 35534ms
********** Factor found in step 1: 67525732366405726850998131615127
Found probable prime factor of 32 digits: 67525732366405726850998131615127

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 2, 2013 13:00:00 UTC 2013 年 5 月 2 日 (木) 22 時 0 分 0 秒 (日本時間)

25×10248+119

c181

name 名前Youcef Lemsafer
date 日付May 11, 2013 06:05:22 UTC 2013 年 5 月 11 日 (土) 15 時 5 分 22 秒 (日本時間)
composite number 合成数
5100455710375289024462723170343660036274574980277023981893014412662315422829808931549495945427589346404492501087794532458634547500132236307482458626090284905747934306311650491602407<181>
prime factors 素因数
494690972607238241864247153544673514036432443878327<51>
10310387682018234477695663162528602347031454385594642261176370999728873183784686615201374392335986920812136642630139096616951433041<131>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM]
Input number is (25*10^248+11)/(9*3*23*1511*1632481*5279341*107522738317*378725423286995009*1488409172180853796591) (181 digits)
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=74866108
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
55      246     1286    7557    49831   361851  2844041 2.4e+007        2.2e+008        2.2e+009
Step 1 took 210234ms
Using 22 small primes for NTT
Estimated memory usage: 252M
Initializing tables of differences for F took 63ms
Computing roots of F took 3562ms
Building F from its roots took 5594ms
Computing 1/F took 2734ms
Initializing table of differences for G took 63ms
Computing roots of G took 2859ms
Building G from its roots took 5516ms
Computing roots of G took 2875ms
Building G from its roots took 5485ms
Computing G * H took 1516ms
Reducing  G * H mod F took 1547ms
Computing roots of G took 2859ms
Building G from its roots took 5500ms
Computing G * H took 1516ms
Reducing  G * H mod F took 1531ms
Computing roots of G took 2859ms
Building G from its roots took 5516ms
Computing G * H took 1469ms
Reducing  G * H mod F took 1547ms
Computing roots of G took 2875ms
Building G from its roots took 5469ms
Computing G * H took 1485ms
Reducing  G * H mod F took 1547ms
Computing polyeval(F,G) took 10703ms
Computing product of all F(g_i) took 47ms
Step 2 took 76984ms
********** Factor found in step 2: 494690972607238241864247153544673514036432443878327
Found probable prime factor of 51 digits: 494690972607238241864247153544673514036432443878327
Probable prime cofactor ((25*10^248+11)/(9*3*23*1511*1632481*5279341*107522738317*378725423286995009*1488409172180853796591))/494690972607238241864247153544673514036432443878327 has 131 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaMay 2, 2013 13:00:00 UTC 2013 年 5 月 2 日 (木) 22 時 0 分 0 秒 (日本時間)
900Youcef LemsaferMay 8, 2013 20:20:13 UTC 2013 年 5 月 9 日 (木) 5 時 20 分 13 秒 (日本時間)
403e62348Youcef LemsaferMay 8, 2013 20:20:13 UTC 2013 年 5 月 9 日 (木) 5 時 20 分 13 秒 (日本時間)
4511e630012949Youcef LemsaferMay 10, 2013 06:44:21 UTC 2013 年 5 月 10 日 (金) 15 時 44 分 21 秒 (日本時間)
52Youcef LemsaferMay 11, 2013 05:53:16 UTC 2013 年 5 月 11 日 (土) 14 時 53 分 16 秒 (日本時間)
5043e6500 / 6785Youcef LemsaferMay 11, 2013 05:53:16 UTC 2013 年 5 月 11 日 (土) 14 時 53 分 16 秒 (日本時間)

25×10250+119

c203

name 名前Dmitry Domanov
date 日付June 10, 2013 07:05:37 UTC 2013 年 6 月 10 日 (月) 16 時 5 分 37 秒 (日本時間)
composite number 合成数
12915129850044464633052197877000066708841138909500460792487400432540870536825622354752188883959196976844693261251331094263530800145009889073529323590319289812798923238053389145005139222071765142483117853<203>
prime factors 素因数
93945932614555415954333072423519367328523217733<47>
137474071421836865565073641919749219615682266832099371315314924502090458868630294085364865398050368509095932694930901397539832113179848411513233315238747641<156>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3699907985
Step 1 took 107089ms
********** Factor found in step 1: 93945932614555415954333072423519367328523217733
Found probable prime factor of 47 digits: 93945932614555415954333072423519367328523217733

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 2, 2013 13:00:00 UTC 2013 年 5 月 2 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 7, 2013 14:51:19 UTC 2013 年 6 月 7 日 (金) 23 時 51 分 19 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 7, 2013 14:51:19 UTC 2013 年 6 月 7 日 (金) 23 時 51 分 19 秒 (日本時間)

25×10253+119

c164

composite cofactor 合成数の残り
11843175006838748327993602722453691213637931727074315780806722496301061236184042226263359752821544716700836280432376765546122960237232606423448969827738589795439747<164>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovApril 26, 2016 12:08:42 UTC 2016 年 4 月 26 日 (火) 21 時 8 分 42 秒 (日本時間)
4511e6800Dmitry DomanovApril 30, 2016 23:42:54 UTC 2016 年 5 月 1 日 (日) 8 時 42 分 54 秒 (日本時間)
5043e61000 / 7346400Dmitry DomanovMay 4, 2016 00:20:39 UTC 2016 年 5 月 4 日 (水) 9 時 20 分 39 秒 (日本時間)
600Dmitry DomanovMay 6, 2016 17:18:29 UTC 2016 年 5 月 7 日 (土) 2 時 18 分 29 秒 (日本時間)

25×10254+119

c244

composite cofactor 合成数の残り
1518452031008772947164165887753827954677560289450535040905156911986717457495302926115356094828514892823693958424534446235740129952033038093890556749010525674112206818773496586520674603632375029904044978797040853234587877061409971298898767694249<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62104600Dmitry DomanovMay 8, 2016 20:18:04 UTC 2016 年 5 月 9 日 (月) 5 時 18 分 4 秒 (日本時間)
1504ebinaAugust 26, 2022 08:40:38 UTC 2022 年 8 月 26 日 (金) 17 時 40 分 38 秒 (日本時間)

25×10255+119

c213

composite cofactor 合成数の残り
997921247480472762719521908029011287853875313432409957985898813193282390781771966277441471125378834938035453794532379142172070097987031794884440753592764827289040193769461976987638643074377849265270984939939822263<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMay 7, 2016 18:39:59 UTC 2016 年 5 月 8 日 (日) 3 時 39 分 59 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovMay 9, 2016 19:51:11 UTC 2016 年 5 月 10 日 (火) 4 時 51 分 11 秒 (日本時間)

25×10256+119

c207

composite cofactor 合成数の残り
130397669630915296318408836838671274383505989923323305243396330567831792325546124654068531074576826709977327658548274841401703476300865774309609481982413407198619315882919477738839554578303812626822188111263<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMay 7, 2016 09:54:46 UTC 2016 年 5 月 7 日 (土) 18 時 54 分 46 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovMay 9, 2016 19:51:27 UTC 2016 年 5 月 10 日 (火) 4 時 51 分 27 秒 (日本時間)

25×10258+119

c255

composite cofactor 合成数の残り
253933428812302566759098434754344800966978496917248174218646839544545002082254116260881047424607164985627367929223674721435028592904084265269017074483753339224588881778752882144417019634132715767234461813490975205940010766777381641628830585773633584219561<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62104600Dmitry DomanovMay 9, 2016 07:14:08 UTC 2016 年 5 月 9 日 (月) 16 時 14 分 8 秒 (日本時間)
1504ebinaAugust 26, 2022 08:41:09 UTC 2022 年 8 月 26 日 (金) 17 時 41 分 9 秒 (日本時間)

25×10259+119

c236

composite cofactor 合成数の残り
39226768000502211579501150016591854073005312993137523846049364048238584348329629009940973242684530637979245681637811753431097884977293702252466788556002484107168545912876648585341876350877216326456157936242330497433979088912584086137041<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62104600Dmitry DomanovMay 8, 2016 20:17:33 UTC 2016 年 5 月 9 日 (月) 5 時 17 分 33 秒 (日本時間)
1504ebinaAugust 26, 2022 08:41:40 UTC 2022 年 8 月 26 日 (金) 17 時 41 分 40 秒 (日本時間)

25×10261+119

c255

composite cofactor 合成数の残り
158731238102577827687958436847529293357924992620108546896849057303748395647820563909993318113293329124796778776825841145878522132680660958653249000823364329036167604669870485278030049334494204719322250121459556083711527968548916291360939984550625102980859<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62104600Dmitry DomanovMay 9, 2016 07:13:47 UTC 2016 年 5 月 9 日 (月) 16 時 13 分 47 秒 (日本時間)
1504ebinaAugust 26, 2022 08:42:12 UTC 2022 年 8 月 26 日 (金) 17 時 42 分 12 秒 (日本時間)

25×10262+119

c196

name 名前Dmitry Domanov
date 日付May 10, 2016 08:01:31 UTC 2016 年 5 月 10 日 (火) 17 時 1 分 31 秒 (日本時間)
composite number 合成数
3319147104625171022132581737550930073838034629749915452376404723948567491903820276883528711646237973113317271792716682942955925418047984843258971030874046614578604910414670214846677935655006778119<196>
prime factors 素因数
1343196657333948186402198095753331944411<40>
composite cofactor 合成数の残り
2471080527562657685723562159986635955491507583308045049987266708548150200820307159343215873515338177574484276840522981444765924976642007090011454871668028229<157>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2426719718
Step 1 took 68760ms
Step 2 took 21369ms
********** Factor found in step 2: 1343196657333948186402198095753331944411
Found probable prime factor of 40 digits: 1343196657333948186402198095753331944411
Composite cofactor 2471080527562657685723562159986635955491507583308045049987266708548150200820307159343215873515338177574484276840522981444765924976642007090011454871668028229 has 157 digits

c157

name 名前Lionel Debroux
date 日付December 19, 2017 23:16:49 UTC 2017 年 12 月 20 日 (水) 8 時 16 分 49 秒 (日本時間)
composite number 合成数
2471080527562657685723562159986635955491507583308045049987266708548150200820307159343215873515338177574484276840522981444765924976642007090011454871668028229<157>
prime factors 素因数
581579614178691079820625298352073590023<39>
4248911872628697461773247559241683703839809261782100000840470697243236940398206513767875525153605756472722273458019923<118>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 2471080527562657685723562159986635955491507583308045049987266708548150200820307159343215873515338177574484276840522981444765924976642007090011454871668028229 (157 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1040859694
Step 1 took 19424ms
Step 2 took 8596ms
********** Factor found in step 2: 581579614178691079820625298352073590023
Found prime factor of 39 digits: 581579614178691079820625298352073590023
Prime cofactor 4248911872628697461773247559241683703839809261782100000840470697243236940398206513767875525153605756472722273458019923 has 118 digits
execution environment 実行環境
Core i7-6700HQ @ 2.6 GHz (+ turbo), Debian sid amd64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMay 7, 2016 09:53:26 UTC 2016 年 5 月 7 日 (土) 18 時 53 分 26 秒 (日本時間)
4511e64400800Dmitry DomanovMay 9, 2016 19:51:42 UTC 2016 年 5 月 10 日 (火) 4 時 51 分 42 秒 (日本時間)
3600Lionel DebrouxDecember 17, 2017 22:44:05 UTC 2017 年 12 月 18 日 (月) 7 時 44 分 5 秒 (日本時間)

25×10263+119

c233

composite cofactor 合成数の残り
78717579492821901810774757063896851561830554448267160720918704144910363751434101102678321121785786367322436340368026556619537398807335318181337646614460416533721400179971357635891051874379506039079873945001154702810851713080442263103<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62104600Dmitry DomanovMay 8, 2016 17:18:16 UTC 2016 年 5 月 9 日 (月) 2 時 18 分 16 秒 (日本時間)
1504ebinaAugust 26, 2022 08:42:38 UTC 2022 年 8 月 26 日 (金) 17 時 42 分 38 秒 (日本時間)

25×10264+119

c242

composite cofactor 合成数の残り
14123150999749971813695767628871203928230608284911254229710747377099264800497642855176374860153153868933089024779936485553008169980207889858469320680391676563327534135132299423222288361833029995236849231858991911277550540708170169407572202589<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62104600Dmitry DomanovMay 8, 2016 20:18:25 UTC 2016 年 5 月 9 日 (月) 5 時 18 分 25 秒 (日本時間)
1504ebinaAugust 26, 2022 08:43:14 UTC 2022 年 8 月 26 日 (金) 17 時 43 分 14 秒 (日本時間)

25×10265+119

c266

composite cofactor 合成数の残り
27777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61100600Dmitry DomanovApril 26, 2016 16:19:59 UTC 2016 年 4 月 27 日 (水) 1 時 19 分 59 秒 (日本時間)
500Serge BatalovMay 1, 2016 20:54:06 UTC 2016 年 5 月 2 日 (月) 5 時 54 分 6 秒 (日本時間)
4511e61500500Serge BatalovMay 1, 2016 20:54:06 UTC 2016 年 5 月 2 日 (月) 5 時 54 分 6 秒 (日本時間)
1000Dmitry DomanovMay 3, 2016 09:26:28 UTC 2016 年 5 月 3 日 (火) 18 時 26 分 28 秒 (日本時間)
5043e64600600Dmitry DomanovMay 6, 2016 17:07:27 UTC 2016 年 5 月 7 日 (土) 2 時 7 分 27 秒 (日本時間)
4000Dmitry DomanovNovember 3, 2016 14:17:21 UTC 2016 年 11 月 3 日 (木) 23 時 17 分 21 秒 (日本時間)
5511e71080 / 1602280Dmitry DomanovMay 7, 2016 21:39:19 UTC 2016 年 5 月 8 日 (日) 6 時 39 分 19 秒 (日本時間)
1000Dmitry DomanovNovember 7, 2016 09:59:49 UTC 2016 年 11 月 7 日 (月) 18 時 59 分 49 秒 (日本時間)
6026e71 / 41046Dmitry DomanovMay 9, 2016 00:02:31 UTC 2016 年 5 月 9 日 (月) 9 時 2 分 31 秒 (日本時間)

25×10266+119

c263

composite cofactor 合成数の残り
70092802871001205596209381220736254801356996663582583340342613620433453892954271455406958813469032999691591667367594695376678722628760478874029214680236633302492500070092802871001205596209381220736254801356996663582583340342613620433453892954271455406958813469033<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62104600Dmitry DomanovMay 9, 2016 07:12:52 UTC 2016 年 5 月 9 日 (月) 16 時 12 分 52 秒 (日本時間)
1504ebinaAugust 26, 2022 08:43:35 UTC 2022 年 8 月 26 日 (金) 17 時 43 分 35 秒 (日本時間)

25×10267+119

c260

composite cofactor 合成数の残り
39754897571609769481115117307551156399445169836158474579264258559543908407374802560680376893666702447664677018323590449516848155009472423297326002740126987669940598565989640283963381433086042445537662782570238631014849810680101392226531191962172890560649120003<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62104600Dmitry DomanovMay 9, 2016 07:12:38 UTC 2016 年 5 月 9 日 (月) 16 時 12 分 38 秒 (日本時間)
1504ebinaAugust 26, 2022 08:43:57 UTC 2022 年 8 月 26 日 (金) 17 時 43 分 57 秒 (日本時間)

25×10268+119

c227

composite cofactor 合成数の残り
48601101459646621474892198597330834863062932336595430675504661265210303618511614621788527514924077568441374785769175989829442405083496591089036613478951964097867132090010074332356934088556440596158912500145322646188326238375707<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62104600Dmitry DomanovMay 8, 2016 13:11:29 UTC 2016 年 5 月 8 日 (日) 22 時 11 分 29 秒 (日本時間)
1504ebinaAugust 27, 2022 22:54:52 UTC 2022 年 8 月 28 日 (日) 7 時 54 分 52 秒 (日本時間)

25×10269+119

c198

composite cofactor 合成数の残り
109339029217404119000231001237475139347178234965939321485431340889077400125056937056336742785011993481110771138396464739652824137225921277340353493945869769963226658251413927062269606735329141945089<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMay 7, 2016 09:53:52 UTC 2016 年 5 月 7 日 (土) 18 時 53 分 52 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovMay 9, 2016 19:52:00 UTC 2016 年 5 月 10 日 (火) 4 時 52 分 0 秒 (日本時間)

25×10271+119

c240

composite cofactor 合成数の残り
685448648304740301975292276811703247183130619225860463001125323931184402940824900009932778767115102658374484689835172511929177645191758338578456821029589543975122158095969576864838927505040781364050920658298971522721417443141732721206354531<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62104600Dmitry DomanovMay 8, 2016 20:22:06 UTC 2016 年 5 月 9 日 (月) 5 時 22 分 6 秒 (日本時間)
1504ebinaAugust 27, 2022 22:53:34 UTC 2022 年 8 月 28 日 (日) 7 時 53 分 34 秒 (日本時間)

25×10273+119

c220

name 名前Dmitry Domanov
date 日付May 7, 2016 20:43:17 UTC 2016 年 5 月 8 日 (日) 5 時 43 分 17 秒 (日本時間)
composite number 合成数
9856141300061968510092297479401866995464995644256651174105195027325325548305391019085179623035081099739318117269540101765831257346926527953018944585679911029629010674083403293350342892468760929368686427543684438045441601<220>
prime factors 素因数
69952676607473383391572386629587889<35>
composite cofactor 合成数の残り
140897271956695781072275216460882812506497752646739109361708447509444202473135473310350904040882829431607327942877708887205161221815419524665124601954170967704808668138232735360990955409<186>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1270286821
Step 1 took 24321ms
Step 2 took 8552ms
********** Factor found in step 2: 69952676607473383391572386629587889
Found probable prime factor of 35 digits: 69952676607473383391572386629587889
Composite cofactor 140897271956695781072275216460882812506497752646739109361708447509444202473135473310350904040882829431607327942877708887205161221815419524665124601954170967704808668138232735360990955409 has 186 digits

c186

name 名前Dmitry Domanov
date 日付April 17, 2024 05:34:52 UTC 2024 年 4 月 17 日 (水) 14 時 34 分 52 秒 (日本時間)
composite number 合成数
140897271956695781072275216460882812506497752646739109361708447509444202473135473310350904040882829431607327942877708887205161221815419524665124601954170967704808668138232735360990955409<186>
prime factors 素因数
1005141884267231436509790402929789496241735599953<49>
2143695668829611636315246316160411706872717485317<49>
65390112342806201324420283440133476943305588721685132731899155317910900304380276865994509<89>
factorization results 素因数分解の結果
Resuming ECM residue saved by @8a4e4a7cc7cf with GMP-ECM 7.0.5-dev on Tue Apr 16 08:21:22 2024 
Input number is 140897271956695781072275216460882812506497752646739109361708447509444202473135473310350904040882829431607327942877708887205161221815419524665124601954170967704808668138232735360990955409 (186 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:3079865147
Step 1 took 0ms
Step 2 took 24919ms
********** Factor found in step 2: 2143695668829611636315246316160411706872717485317
Found prime factor of 49 digits: 2143695668829611636315246316160411706872717485317
Composite cofactor 65726340732694172701015776073323073233176053615865372487184485624490826210500332853037995101216367891356671024153848603938893217118658077 has 137 digits

Resuming ECM residue saved by @8a4e4a7cc7cf with GMP-ECM 7.0.5-dev on Tue Apr 16 08:21:22 2024 
Input number is 140897271956695781072275216460882812506497752646739109361708447509444202473135473310350904040882829431607327942877708887205161221815419524665124601954170967704808668138232735360990955409 (186 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:3079865788
Step 1 took 0ms
Step 2 took 25265ms
********** Factor found in step 2: 1005141884267231436509790402929789496241735599953
Found prime factor of 49 digits: 1005141884267231436509790402929789496241735599953
Composite cofactor 140176500613555382842248861763029073564481023188587659161922268588064135507461591946527754798170287376076686726807601681905311684810124353 has 138 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMay 7, 2016 18:39:28 UTC 2016 年 5 月 8 日 (日) 3 時 39 分 28 秒 (日本時間)
4511e61000Dmitry DomanovMay 8, 2016 16:36:04 UTC 2016 年 5 月 9 日 (月) 1 時 36 分 4 秒 (日本時間)
5043e62752 / 7301600Dmitry DomanovMay 8, 2016 23:59:08 UTC 2016 年 5 月 9 日 (月) 8 時 59 分 8 秒 (日本時間)
360Dmitry DomanovMay 9, 2016 07:19:33 UTC 2016 年 5 月 9 日 (月) 16 時 19 分 33 秒 (日本時間)
1792Dmitry DomanovApril 15, 2024 21:41:06 UTC 2024 年 4 月 16 日 (火) 6 時 41 分 6 秒 (日本時間)

25×10274+119

c265

composite cofactor 合成数の残り
1918945743273748111217330123373611262466709297094865447105733327624506590852203558425511589035208600831112535294612849610361113730316616074572109325758125776097221865909498192537762309221538919025022590509939873701963705458999348912401672898787188435592102781136407<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62104600Dmitry DomanovMay 9, 2016 07:12:18 UTC 2016 年 5 月 9 日 (月) 16 時 12 分 18 秒 (日本時間)
1504ebinaAugust 27, 2022 22:54:05 UTC 2022 年 8 月 28 日 (日) 7 時 54 分 5 秒 (日本時間)

25×10276+119

c256

composite cofactor 合成数の残り
1243197694647438742157261428804336697826415983853225486518940925892657861098848765937468183636174719091828947899718504157248180788449526644296322811869540689163642564810774405128031531702712704577102231585832315751461065502140610249134115679675728055467589<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62104600Dmitry DomanovMay 9, 2016 07:12:05 UTC 2016 年 5 月 9 日 (月) 16 時 12 分 5 秒 (日本時間)
1504ebinaAugust 27, 2022 22:51:57 UTC 2022 年 8 月 28 日 (日) 7 時 51 分 57 秒 (日本時間)

25×10277+119

c229

composite cofactor 合成数の残り
9447644769319522910487005726319259636624214715324700178561212643116748762236581964749169180122383363257754945402078415919967904821514832877695707762719950488018138175861882710578839635807237014526965843941420272202674691745243027<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62104600Dmitry DomanovMay 8, 2016 13:12:38 UTC 2016 年 5 月 8 日 (日) 22 時 12 分 38 秒 (日本時間)
1504ebinaAugust 27, 2022 22:52:28 UTC 2022 年 8 月 28 日 (日) 7 時 52 分 28 秒 (日本時間)

25×10278+119

c244

composite cofactor 合成数の残り
2970243654572864364036835790182092667918530033568604672801516909440942245593542480999609958387029356927764199123430167641750572908285039610056874266744652275356546126576125150107673006390778005643936777999241671764810555722256105416190786923607<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62104600Dmitry DomanovMay 8, 2016 20:22:39 UTC 2016 年 5 月 9 日 (月) 5 時 22 分 39 秒 (日本時間)
1504ebinaAugust 27, 2022 22:52:57 UTC 2022 年 8 月 28 日 (日) 7 時 52 分 57 秒 (日本時間)

25×10279+119

c247

composite cofactor 合成数の残り
1619987329535427830400211382739662459432699280405495254421748912569292918631206651860963239456654659254328046762935760091052721562997113494940698436539459253487852692023069338626402543662240220634017854564199529678226317980283929892941153074550673<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62104600Dmitry DomanovMay 8, 2016 20:22:56 UTC 2016 年 5 月 9 日 (月) 5 時 22 分 56 秒 (日本時間)
1504ebinaAugust 29, 2022 03:11:19 UTC 2022 年 8 月 29 日 (月) 12 時 11 分 19 秒 (日本時間)

25×10280+119

c230

composite cofactor 合成数の残り
31176831995674334844304906559316940284515730169012471767143886818028732359312773408252050540098694115754352010787962089118796527759442377619962829926301808313491255395337215365578042850669284017028706701771064009742566331686998901<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62104600Dmitry DomanovMay 8, 2016 17:17:43 UTC 2016 年 5 月 9 日 (月) 2 時 17 分 43 秒 (日本時間)
1504ebinaAugust 29, 2022 05:32:01 UTC 2022 年 8 月 29 日 (月) 14 時 32 分 1 秒 (日本時間)

25×10281+119

c224

composite cofactor 合成数の残り
18377312533160440478091397937847800343866886430129345832604080473118054359341177739040234773770156387088210621958208637472157773107479618055262624303519115826560509500852914384563736183276699535155950716603037033669135409023<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62104600Dmitry DomanovMay 8, 2016 13:13:03 UTC 2016 年 5 月 8 日 (日) 22 時 13 分 3 秒 (日本時間)
1504ebinaAugust 29, 2022 08:20:45 UTC 2022 年 8 月 29 日 (月) 17 時 20 分 45 秒 (日本時間)

25×10282+119

c276

composite cofactor 合成数の残り
293647889892659597951169339373412018282235722742689615225769946822833782714445151666022461925820150040681391369949275380959097938113754188784372557326733914147716892941746589693802421507419830279271946335918597610032712727311510150403277805809405346931062998196402914363689043<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e621041200Dmitry DomanovMay 9, 2016 14:23:56 UTC 2016 年 5 月 9 日 (月) 23 時 23 分 56 秒 (日本時間)
904ebinaAugust 29, 2022 10:14:21 UTC 2022 年 8 月 29 日 (月) 19 時 14 分 21 秒 (日本時間)

25×10283+119

c269

composite cofactor 合成数の残り
10910694638072865107168455477942787397481157524597572090806594476026430591155278870723880399115266459083915445205530235000531942986957036785649346532240978296599955954711411818604838950097048831575946398659375584879974773247570934371306148569855890954001745966524161167<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62104600Dmitry DomanovMay 9, 2016 07:11:43 UTC 2016 年 5 月 9 日 (月) 16 時 11 分 43 秒 (日本時間)
1504ebinaAugust 29, 2022 19:47:47 UTC 2022 年 8 月 30 日 (火) 4 時 47 分 47 秒 (日本時間)

25×10284+119

c212

name 名前Dmitry Domanov
date 日付May 10, 2016 06:04:35 UTC 2016 年 5 月 10 日 (火) 15 時 4 分 35 秒 (日本時間)
composite number 合成数
46569534446691407903987675490881916911534153917958702905037774427907246932204918166621601134211303242360433072542473608768765142641655747546252381292173970936079976508981831602468997540748836426211926873186696747<212>
prime factors 素因数
5832609749279225494804376598787284181337<40>
7984339163518751792692274921373058188904715857645565490288130861028515900909852877763715764144616607622375824124346703359845157175871752089431200491902398026086271307056931<172>
factorization results 素因数分解の結果
Run 315 out of 400:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3588633207
Step 1 took 67359ms
Step 2 took 20675ms
********** Factor found in step 2: 5832609749279225494804376598787284181337
Found probable prime factor of 40 digits: 5832609749279225494804376598787284181337
Probable prime cofactor 7984339163518751792692274921373058188904715857645565490288130861028515900909852877763715764144616607622375824124346703359845157175871752089431200491902398026086271307056931 has 172 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMay 7, 2016 09:55:39 UTC 2016 年 5 月 7 日 (土) 18 時 55 分 39 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovMay 9, 2016 19:54:53 UTC 2016 年 5 月 10 日 (火) 4 時 54 分 53 秒 (日本時間)

25×10285+119

c226

composite cofactor 合成数の残り
8784535275431776356563350270996922383803418238522483772472390325148535869596010224367825313689618056525781825642292722244100615054724945500848506437966444627964462865389633561507668272736085989901999841444665905153149770195131<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62104600Dmitry DomanovMay 8, 2016 13:13:24 UTC 2016 年 5 月 8 日 (日) 22 時 13 分 24 秒 (日本時間)
1504ebinaAugust 29, 2022 21:38:36 UTC 2022 年 8 月 30 日 (火) 6 時 38 分 36 秒 (日本時間)

25×10286+119

c272

composite cofactor 合成数の残り
42873441832125239941771585463064538542790465689851750133354279562403952547924773970771110057535861533725153927913671836571691010380815261323993531966431889238060363835622532748738865074765031229754867282517673713731358994084522977492343199713685383215789050681606196482589<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e621041200Dmitry DomanovMay 9, 2016 14:24:25 UTC 2016 年 5 月 9 日 (月) 23 時 24 分 25 秒 (日本時間)
904ebinaAugust 29, 2022 23:38:03 UTC 2022 年 8 月 30 日 (火) 8 時 38 分 3 秒 (日本時間)

25×10287+119

c270

composite cofactor 合成数の残り
278942580916116501682751800874087394656444221552716535501961085871583480251735391534473590163998641496322085117359673844266892731327471627468449579661991519743768020476775916941647163857105000303608883928594565970802502255864023363629037653253768532231886449979963186103<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62104600Dmitry DomanovMay 9, 2016 07:11:29 UTC 2016 年 5 月 9 日 (月) 16 時 11 分 29 秒 (日本時間)
1504ebinaAugust 30, 2022 02:24:15 UTC 2022 年 8 月 30 日 (火) 11 時 24 分 15 秒 (日本時間)

25×10288+119

c269

composite cofactor 合成数の残り
51758807119068660228143715717942500898850008468794398529584351394142618876642910853891674269459274548490872377182093091987052899307482052880841809662790672593305694959022643900622752599114067653951386760718981361857484484368729445336340246294683502248186161152332937981<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62104600Dmitry DomanovMay 9, 2016 07:11:15 UTC 2016 年 5 月 9 日 (月) 16 時 11 分 15 秒 (日本時間)
1504ebinaAugust 30, 2022 06:21:45 UTC 2022 年 8 月 30 日 (火) 15 時 21 分 45 秒 (日本時間)

25×10289+119

c259

composite cofactor 合成数の残り
2162944641669668960576856317549684074593322559324950090995882935984983148495341805307273791358525154024665769929476330682941477378039235822701855404189323653420215186896859585009013314429253065848485745939284006058741594116702788617003115882891229537241965363<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62104600Dmitry DomanovMay 9, 2016 07:11:01 UTC 2016 年 5 月 9 日 (月) 16 時 11 分 1 秒 (日本時間)
1504ebinaAugust 30, 2022 08:13:35 UTC 2022 年 8 月 30 日 (火) 17 時 13 分 35 秒 (日本時間)

25×10291+119

c283

composite cofactor 合成数の残り
3907943958759932604855282003339490991528029099412340410485565693148289441946213891516774080125129289226008706188519587668937472701418960898676082549376679257294581597669068746791704041050765339240320058102885594539964888320924570969588725418858400496661160462729896181352888965024391<283>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e621041200Dmitry DomanovMay 9, 2016 14:24:50 UTC 2016 年 5 月 9 日 (月) 23 時 24 分 50 秒 (日本時間)
904ebinaAugust 30, 2022 09:44:31 UTC 2022 年 8 月 30 日 (火) 18 時 44 分 31 秒 (日本時間)

25×10292+119

c225

composite cofactor 合成数の残り
774036594199160451819000610863220023283176944659052339634477968159723669832372978925049890770210901418689441921859759047118833736360399056231976747618038267904164119787188304930553535775054496394358388088761708165469457905763<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62200600Dmitry DomanovMay 8, 2016 17:16:49 UTC 2016 年 5 月 9 日 (月) 2 時 16 分 49 秒 (日本時間)
1600ebinaOctober 21, 2021 03:19:40 UTC 2021 年 10 月 21 日 (木) 12 時 19 分 40 秒 (日本時間)

25×10294+119

c259

composite cofactor 合成数の残り
1491868925079162960013171345853369702279407264140713931122893630365513606760466704749301031214650994411419353364427107398452294905884284817837963088174575723185601477273283136701403429797935014046513237072073791353340358107748707225057206450550310891148545641<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62104600Dmitry DomanovMay 9, 2016 07:10:43 UTC 2016 年 5 月 9 日 (月) 16 時 10 分 43 秒 (日本時間)
1504ebinaAugust 30, 2022 20:17:16 UTC 2022 年 8 月 31 日 (水) 5 時 17 分 16 秒 (日本時間)

25×10295+119

c288

composite cofactor 合成数の残り
306900821239467604217739950459259217357067132697282363397164689888400782774360074990307243433040266496272384466630353915976955868161540301536366748661604597872218059603623422827319175328178163105753521377874595902614521118667389887045140466781098688956642523871626681362747528079918260379<288>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62104600Dmitry DomanovMay 7, 2016 18:40:56 UTC 2016 年 5 月 8 日 (日) 3 時 40 分 56 秒 (日本時間)
1504ebinaAugust 30, 2022 23:12:02 UTC 2022 年 8 月 31 日 (水) 8 時 12 分 2 秒 (日本時間)

25×10296+119

c279

composite cofactor 合成数の残り
318882163724532294864646152304287530364412660296555955026855814836342452144644326362559741705519706457504603213052273304940572739455734693527977193613706756375509586705468148545552912838962887006715157741430142715767618772907255082603785107286715581402692561965094401763421213047<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e621041200Dmitry DomanovMay 9, 2016 17:28:18 UTC 2016 年 5 月 10 日 (火) 2 時 28 分 18 秒 (日本時間)
904ebinaAugust 31, 2022 02:03:41 UTC 2022 年 8 月 31 日 (水) 11 時 3 分 41 秒 (日本時間)

25×10297+119

c269

composite cofactor 合成数の残り
17009508921071804990201047581222827279667499988780563685013016037565868142747425168278025941986807185564393476648819154123892399184732344546944328791698897280199987028821069288213963965333779806361830769430504258935895703237233263546086888009800403245750771627906307237<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62352600Dmitry DomanovMay 9, 2016 07:10:27 UTC 2016 年 5 月 9 日 (月) 16 時 10 分 27 秒 (日本時間)
1752iveliveJune 30, 2020 13:05:24 UTC 2020 年 6 月 30 日 (火) 22 時 5 分 24 秒 (日本時間)
4511e64480iveliveJuly 1, 2020 13:20:17 UTC 2020 年 7 月 1 日 (水) 22 時 20 分 17 秒 (日本時間)

25×10298+119

c235

composite cofactor 合成数の残り
3651199249306839808045849154751857525337936134883952417013500419560357214100175512091184366113458106589019853405166451777771700771468094842952218434948815966790199771771525465697589911252386022122055654749099899585511387610169546137733<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e62104600Dmitry DomanovMay 8, 2016 17:17:10 UTC 2016 年 5 月 9 日 (月) 2 時 17 分 10 秒 (日本時間)
1504ebinaAugust 31, 2022 07:45:51 UTC 2022 年 8 月 31 日 (水) 16 時 45 分 51 秒 (日本時間)

25×10299+119

c276

composite cofactor 合成数の残り
103951664717964649694829644133467099764140402191005836349117199661958761256261654643893451700701134874927710022532106186609539630962151776068588883590663579754363763742107856687439896471580833887277583083863410731945477361351129933374989151539584273596570452889123161336198869<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e621041200Dmitry DomanovMay 9, 2016 14:25:22 UTC 2016 年 5 月 9 日 (月) 23 時 25 分 22 秒 (日本時間)
904ebinaAugust 31, 2022 10:23:09 UTC 2022 年 8 月 31 日 (水) 19 時 23 分 9 秒 (日本時間)