Table of contents 目次

59×10110-419

c100

name 名前Jo Yeong Uk
date 日付August 27, 2009 15:02:18 UTC 2009 年 8 月 28 日 (金) 0 時 2 分 18 秒 (日本時間)
composite number 合成数
2597989566725650502849872479791838917651440564302408490731586236718833328085585735067306147261927919<100>
prime factors 素因数
100569868188240422212672513519393283<36>
25832683422264164337538558517870859590637727898173160332304112293<65>
factorization results 素因数分解の結果
Number: 65551_110
N=2597989566725650502849872479791838917651440564302408490731586236718833328085585735067306147261927919
  ( 100 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=100569868188240422212672513519393283
 r2=25832683422264164337538558517870859590637727898173160332304112293
Version: 
Total time: 0.38 hours.
Scaled time: 0.91 units (timescale=2.388).
Factorization parameters were as follows:
n: 2597989566725650502849872479791838917651440564302408490731586236718833328085585735067306147261927919
m: 10000000000000000000000
deg: 5
c5: 59
c0: -41
skew: 0.93
type: snfs
lss: 1
rlim: 320000
alim: 320000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 320000/320000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [160000, 300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 1042212
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 40915 x 41147
Total sieving time: 0.34 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,111,5,0,0,0,0,0,0,0,0,320000,320000,25,25,44,44,2.2,2.2,20000
total time: 0.38 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673788)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672339)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)

59×10111-419

c112

name 名前Erik Branger
date 日付August 27, 2009 17:36:03 UTC 2009 年 8 月 28 日 (金) 2 時 36 分 3 秒 (日本時間)
composite number 合成数
6555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551<112>
prime factors 素因数
2453439594373098072663247600625437<34>
2671985717761528403081198923694369774910242295609051984693196496700468164596523<79>
factorization results 素因数分解の結果
Number: 65551_111
N=6555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551
  ( 112 digits)
SNFS difficulty: 112 digits.
Divisors found:
 r1=2453439594373098072663247600625437 (pp34)
 r2=2671985717761528403081198923694369774910242295609051984693196496700468164596523 (pp79)
Version: Msieve v. 1.41
Total time: 1.74 hours.
Scaled time: 1.37 units (timescale=0.788).
Factorization parameters were as follows:
n: 6555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551
m: 10000000000000000000000
deg: 5
c5: 590
c0: -41
skew: 0.59
type: snfs
lss: 1
rlim: 530000
alim: 530000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 530000/530000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [265000, 465001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 53595 x 53823
Total sieving time: 1.69 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,112.000,5,0,0,0,0,0,0,0,0,530000,530000,25,25,45,45,2.2,2.2,50000
total time: 1.74 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)

59×10118-419

c117

name 名前Robert Backstrom
date 日付August 28, 2009 02:25:14 UTC 2009 年 8 月 28 日 (金) 11 時 25 分 14 秒 (日本時間)
composite number 合成数
923317683881064162754303599374021909233176838810641627543035993740219092331768388106416275430359937402190923317683881<117>
prime factors 素因数
342040803041321313688302451689958483852221604999<48>
2699437247460560632206497429854420932366137288553121858772250208311119<70>
factorization results 素因数分解の結果
Number: n
N=923317683881064162754303599374021909233176838810641627543035993740219092331768388106416275430359937402190923317683881
  ( 117 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=342040803041321313688302451689958483852221604999 (pp48)
 r2=2699437247460560632206497429854420932366137288553121858772250208311119 (pp70)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.60 hours.
Scaled time: 2.91 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_6_5_117_1
n: 923317683881064162754303599374021909233176838810641627543035993740219092331768388106416275430359937402190923317683881
m: 500000000000000000000000
deg: 5
c5: 472
c0: -1025
skew: 1.17
type: snfs
lss: 1
rlim: 740000
alim: 740000
mfbr: 56
mfba: 56
rlambda: 2.2
alambda: 2.2
qintsize: 50000
Factor base limits: 740000/740000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 56/56
Sieved rational special-q in [370000, 720001)
Primes: RFBsize:59531, AFBsize:59694, largePrimes:1359196 encountered
Relations: rels:1337738, finalFF:155412
Max relations in full relation-set: 48
Initial matrix: 119292 x 155412 with sparse part having weight 7787649.
Pruned matrix : 106776 x 107436 with weight 4030051.
Total sieving time: 1.49 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Total square root time: 0.05 hours, sqrts: 4.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,740000,740000,25,25,56,56,2.2,2.2,50000
total time: 1.60 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)

59×10119-419

c100

name 名前Robert Backstrom
date 日付August 28, 2009 03:01:15 UTC 2009 年 8 月 28 日 (金) 12 時 1 分 15 秒 (日本時間)
composite number 合成数
1747413043131727277788190198313073799579267718733141705256364062479384714596122432332591695237572441<100>
prime factors 素因数
1238586755744250042256057931648171<34>
1410811987959398448543925216694404844029838755220880952470146831371<67>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 1747413043131727277788190198313073799579267718733141705256364062479384714596122432332591695237572441 (100 digits)
Using B1=726000, B2=696728352, polynomial Dickson(3), sigma=672678217
Step 1 took 5031ms
Step 2 took 2625ms
********** Factor found in step 2: 1238586755744250042256057931648171
Found probable prime factor of 34 digits: 1238586755744250042256057931648171
Probable prime cofactor 1410811987959398448543925216694404844029838755220880952470146831371 has 67 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)

59×10121-419

c84

name 名前Wataru Sakai
date 日付September 1, 2009 11:58:58 UTC 2009 年 9 月 1 日 (火) 20 時 58 分 58 秒 (日本時間)
composite number 合成数
468404041126252924160492585690317091352005873396330654608841861863525407541870571389<84>
prime factors 素因数
365889507198266340309586761903526109721049<42>
1280178939027176122266235863939883244142661<43>
factorization results 素因数分解の結果
Fri Aug 28 15:13:48 2009  Msieve v. 1.42
Fri Aug 28 15:13:48 2009  random seeds: 94be0cd0 f187796d
Fri Aug 28 15:13:48 2009  factoring 468404041126252924160492585690317091352005873396330654608841861863525407541870571389 (84 digits)
Fri Aug 28 15:13:49 2009  searching for 15-digit factors
Fri Aug 28 15:13:50 2009  commencing quadratic sieve (84-digit input)
Fri Aug 28 15:13:50 2009  using multiplier of 19
Fri Aug 28 15:13:50 2009  using 64kb Pentium 3 sieve core
Fri Aug 28 15:13:50 2009  sieve interval: 6 blocks of size 65536
Fri Aug 28 15:13:50 2009  processing polynomials in batches of 17
Fri Aug 28 15:13:50 2009  using a sieve bound of 1399273 (53529 primes)
Fri Aug 28 15:13:50 2009  using large prime bound of 120337478 (26 bits)
Fri Aug 28 15:13:50 2009  using double large prime bound of 350527068529426 (41-49 bits)
Fri Aug 28 15:13:50 2009  using trial factoring cutoff of 49 bits
Fri Aug 28 15:13:50 2009  polynomial 'A' values have 11 factors
Fri Aug 28 15:56:37 2009  53850 relations (16360 full + 37490 combined from 568032 partial), need 53625
Fri Aug 28 15:56:37 2009  begin with 584392 relations
Fri Aug 28 15:56:38 2009  reduce to 124395 relations in 11 passes
Fri Aug 28 15:56:38 2009  attempting to read 124395 relations
Fri Aug 28 15:56:40 2009  recovered 124395 relations
Fri Aug 28 15:56:40 2009  recovered 99407 polynomials
Fri Aug 28 15:56:40 2009  attempting to build 53850 cycles
Fri Aug 28 15:56:40 2009  found 53850 cycles in 5 passes
Fri Aug 28 15:56:40 2009  distribution of cycle lengths:
Fri Aug 28 15:56:40 2009     length 1 : 16360
Fri Aug 28 15:56:40 2009     length 2 : 11103
Fri Aug 28 15:56:40 2009     length 3 : 9605
Fri Aug 28 15:56:40 2009     length 4 : 6627
Fri Aug 28 15:56:40 2009     length 5 : 4469
Fri Aug 28 15:56:40 2009     length 6 : 2687
Fri Aug 28 15:56:40 2009     length 7 : 1450
Fri Aug 28 15:56:40 2009     length 9+: 1549
Fri Aug 28 15:56:40 2009  largest cycle: 20 relations
Fri Aug 28 15:56:40 2009  matrix is 53529 x 53850 (11.4 MB) with weight 2778426 (51.60/col)
Fri Aug 28 15:56:40 2009  sparse part has weight 2778426 (51.60/col)
Fri Aug 28 15:56:41 2009  filtering completed in 3 passes
Fri Aug 28 15:56:41 2009  matrix is 47789 x 47851 (10.2 MB) with weight 2489072 (52.02/col)
Fri Aug 28 15:56:41 2009  sparse part has weight 2489072 (52.02/col)
Fri Aug 28 15:56:41 2009  saving the first 48 matrix rows for later
Fri Aug 28 15:56:41 2009  matrix is 47741 x 47851 (5.7 MB) with weight 1833801 (38.32/col)
Fri Aug 28 15:56:41 2009  sparse part has weight 1197884 (25.03/col)
Fri Aug 28 15:56:41 2009  matrix includes 64 packed rows
Fri Aug 28 15:56:41 2009  using block size 19140 for processor cache size 1024 kB
Fri Aug 28 15:56:42 2009  commencing Lanczos iteration
Fri Aug 28 15:56:42 2009  memory use: 6.5 MB
Fri Aug 28 15:57:00 2009  lanczos halted after 756 iterations (dim = 47737)
Fri Aug 28 15:57:00 2009  recovered 16 nontrivial dependencies
Fri Aug 28 15:57:00 2009  prp42 factor: 365889507198266340309586761903526109721049
Fri Aug 28 15:57:00 2009  prp43 factor: 1280178939027176122266235863939883244142661
Fri Aug 28 15:57:00 2009  elapsed time 00:43:12

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)

59×10128-419

c103

name 名前Jo Yeong Uk
date 日付August 27, 2009 15:47:27 UTC 2009 年 8 月 28 日 (金) 0 時 47 分 27 秒 (日本時間)
composite number 合成数
3430520125890226509593731402569423321015647527360602456706265755347841481793027317214936054879428045003<103>
prime factors 素因数
15687391337389820067594699621928049<35>
218680088493350538687823046086955801253237178180069851711522664388347<69>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 3430520125890226509593731402569423321015647527360602456706265755347841481793027317214936054879428045003 (103 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=6225541169
Step 1 took 3463ms
Step 2 took 3682ms
********** Factor found in step 2: 15687391337389820067594699621928049
Found probable prime factor of 35 digits: 15687391337389820067594699621928049
Probable prime cofactor 218680088493350538687823046086955801253237178180069851711522664388347 has 69 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)

59×10130-419

c91

name 名前Jo Yeong Uk
date 日付August 27, 2009 15:29:16 UTC 2009 年 8 月 28 日 (金) 0 時 29 分 16 秒 (日本時間)
composite number 合成数
8253483050610399201614656565498306273254000866702463502996230748570396254465732878865897171<91>
prime factors 素因数
1874536995577468817771844750195374139545485531<46>
4402944871230901384323087592619302612598638441<46>
factorization results 素因数分解の結果
08/27/09 23:30:17 v1.10 @ 조영욱-PC, starting SIQS on c91: 8253483050610399201614656565498306273254000866702463502996230748570396254465732878865897171
08/27/09 23:30:17 v1.10 @ 조영욱-PC, random seeds: 131344719, 45773372
08/27/09 23:30:18 v1.10 @ 조영욱-PC, ==== sieve params ====
08/27/09 23:30:18 v1.10 @ 조영욱-PC, n = 91 digits, 307 bits
08/27/09 23:30:18 v1.10 @ 조영욱-PC, factor base: 70662 primes (max prime = 1893187)
08/27/09 23:30:18 v1.10 @ 조영욱-PC, single large prime cutoff: 227182440 (120 * pmax)
08/27/09 23:30:18 v1.10 @ 조영욱-PC, double large prime range from 43 to 50 bits
08/27/09 23:30:18 v1.10 @ 조영욱-PC, double large prime cutoff: 1100207414487985
08/27/09 23:30:18 v1.10 @ 조영욱-PC, using 16 large prime slices of factor base
08/27/09 23:30:18 v1.10 @ 조영욱-PC, buckets hold 1024 elements
08/27/09 23:30:18 v1.10 @ 조영욱-PC, sieve interval: 11 blocks of size 65536
08/27/09 23:30:18 v1.10 @ 조영욱-PC, polynomial A has ~ 12 factors
08/27/09 23:30:18 v1.10 @ 조영욱-PC, using multiplier of 19
08/27/09 23:30:18 v1.10 @ 조영욱-PC, using small prime variation correction of 22 bits
08/27/09 23:30:18 v1.10 @ 조영욱-PC, using SSE2 for trial division and x128 sieve scanning
08/27/09 23:30:18 v1.10 @ 조영욱-PC, trial factoring cutoff at 97 bits
08/27/09 23:30:18 v1.10 @ 조영욱-PC, ==== sieving started ====
08/28/09 00:26:05 v1.10 @ 조영욱-PC, sieve time = 1542.6450, relation time = 702.4350, poly_time = 1100.0520
08/28/09 00:26:05 v1.10 @ 조영욱-PC, 70735 relations found: 20355 full + 50380 from 853952 partial, using 471953 polys (230 A polys)
08/28/09 00:26:05 v1.10 @ 조영욱-PC, on average, sieving found 1.85 rels/poly and 261.20 rels/sec
08/28/09 00:26:05 v1.10 @ 조영욱-PC, trial division touched 26612272 sieve locations out of 680458059776
08/28/09 00:26:05 v1.10 @ 조영욱-PC, ==== post processing stage (msieve-1.38) ====
08/28/09 00:26:05 v1.10 @ 조영욱-PC, begin with 874307 relations
08/28/09 00:26:06 v1.10 @ 조영욱-PC, reduce to 163723 relations in 9 passes
08/28/09 00:26:07 v1.10 @ 조영욱-PC, recovered 163723 relations
08/28/09 00:26:07 v1.10 @ 조영욱-PC, recovered 138447 polynomials
08/28/09 00:26:07 v1.10 @ 조영욱-PC, attempting to build 70735 cycles
08/28/09 00:26:07 v1.10 @ 조영욱-PC, found 70735 cycles in 4 passes
08/28/09 00:26:07 v1.10 @ 조영욱-PC, distribution of cycle lengths:
08/28/09 00:26:07 v1.10 @ 조영욱-PC,    length 1 : 20355
08/28/09 00:26:07 v1.10 @ 조영욱-PC,    length 2 : 15712
08/28/09 00:26:07 v1.10 @ 조영욱-PC,    length 3 : 13220
08/28/09 00:26:07 v1.10 @ 조영욱-PC,    length 4 : 8823
08/28/09 00:26:07 v1.10 @ 조영욱-PC,    length 5 : 5767
08/28/09 00:26:07 v1.10 @ 조영욱-PC,    length 6 : 3219
08/28/09 00:26:07 v1.10 @ 조영욱-PC,    length 7 : 1799
08/28/09 00:26:07 v1.10 @ 조영욱-PC,    length 9+: 1840
08/28/09 00:26:07 v1.10 @ 조영욱-PC, largest cycle: 19 relations
08/28/09 00:26:08 v1.10 @ 조영욱-PC, matrix is 70662 x 70735 (17.6 MB) with weight 4054145 (57.31/col)
08/28/09 00:26:08 v1.10 @ 조영욱-PC, sparse part has weight 4054145 (57.31/col)
08/28/09 00:26:08 v1.10 @ 조영욱-PC, filtering completed in 3 passes
08/28/09 00:26:08 v1.10 @ 조영욱-PC, matrix is 65082 x 65146 (16.4 MB) with weight 3786317 (58.12/col)
08/28/09 00:26:08 v1.10 @ 조영욱-PC, sparse part has weight 3786317 (58.12/col)
08/28/09 00:26:08 v1.10 @ 조영욱-PC, saving the first 48 matrix rows for later
08/28/09 00:26:08 v1.10 @ 조영욱-PC, matrix is 65034 x 65146 (11.3 MB) with weight 3022515 (46.40/col)
08/28/09 00:26:08 v1.10 @ 조영욱-PC, sparse part has weight 2318790 (35.59/col)
08/28/09 00:26:08 v1.10 @ 조영욱-PC, matrix includes 64 packed rows
08/28/09 00:26:08 v1.10 @ 조영욱-PC, using block size 26058 for processor cache size 4096 kB
08/28/09 00:26:09 v1.10 @ 조영욱-PC, commencing Lanczos iteration
08/28/09 00:26:09 v1.10 @ 조영욱-PC, memory use: 9.9 MB
08/28/09 00:26:30 v1.10 @ 조영욱-PC, lanczos halted after 1030 iterations (dim = 65030)
08/28/09 00:26:30 v1.10 @ 조영욱-PC, recovered 15 nontrivial dependencies
08/28/09 00:26:31 v1.10 @ 조영욱-PC, prp46 = 4402944871230901384323087592619302612598638441
08/28/09 00:26:33 v1.10 @ 조영욱-PC, prp46 = 1874536995577468817771844750195374139545485531
08/28/09 00:26:33 v1.10 @ 조영욱-PC, Lanczos elapsed time = 25.0990 seconds.
08/28/09 00:26:33 v1.10 @ 조영욱-PC, Sqrt elapsed time = 3.2240 seconds.
08/28/09 00:26:33 v1.10 @ 조영욱-PC, SIQS elapsed time = 3375.6350 seconds.
08/28/09 00:26:33 v1.10 @ 조영욱-PC, 
08/28/09 00:26:33 v1.10 @ 조영욱-PC, 
software ソフトウェア
YAFU 1.10
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)

59×10132-419

c120

name 名前Jo Yeong Uk
date 日付August 27, 2009 15:47:52 UTC 2009 年 8 月 28 日 (金) 0 時 47 分 52 秒 (日本時間)
composite number 合成数
739086197864674243080103063204723838549459620630445797290182833000541981305222698078503131350548820404722187029296699421<120>
prime factors 素因数
64762468536958753275997370026592189<35>
11412261060476583010801648653588374466659404427949117412495467433944876668021019371489<86>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 739086197864674243080103063204723838549459620630445797290182833000541981305222698078503131350548820404722187029296699421 (120 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3807268069
Step 1 took 4180ms
Step 2 took 4041ms
********** Factor found in step 2: 64762468536958753275997370026592189
Found probable prime factor of 35 digits: 64762468536958753275997370026592189
Probable prime cofactor 11412261060476583010801648653588374466659404427949117412495467433944876668021019371489 has 86 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)

59×10136-419

c135

name 名前Robert Backstrom
date 日付August 28, 2009 15:48:15 UTC 2009 年 8 月 29 日 (土) 0 時 48 分 15 秒 (日本時間)
composite number 合成数
210789567702750982493747767059664165773490532332976062879599857091818506609503394069310468024294390853876384423008217220435869953554841<135>
prime factors 素因数
26179380007226157021127248101170405337<38>
14297798976196798020082250427539153295127879<44>
563145436761579883955917094967740928748812991722141367<54>
factorization results 素因数分解の結果
Number: n
N=210789567702750982493747767059664165773490532332976062879599857091818506609503394069310468024294390853876384423008217220435869953554841
  ( 135 digits)
SNFS difficulty: 137 digits.
Divisors found:

Sat Aug 29 01:44:27 2009  prp38 factor: 26179380007226157021127248101170405337
Sat Aug 29 01:44:27 2009  prp44 factor: 14297798976196798020082250427539153295127879
Sat Aug 29 01:44:27 2009  prp54 factor: 563145436761579883955917094967740928748812991722141367
Sat Aug 29 01:44:27 2009  elapsed time 00:16:47 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 4.02 hours.
Scaled time: 7.32 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_6_5_135_1
n: 210789567702750982493747767059664165773490532332976062879599857091818506609503394069310468024294390853876384423008217220435869953554841
m: 1000000000000000000000000000
deg: 5
c5: 590
c0: -41
skew: 0.59
type: snfs
lss: 1
rlim: 1380000
alim: 1380000
lpbr: 26
lpba: 26
mfbr: 56
mfba: 56
rlambda: 2.3
alambda: 2.3
qintsize: 50000
Factor base limits: 1380000/1380000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 56/56
Sieved  special-q in [690000, 1461797)
Primes: RFBsize:105690, AFBsize:105947, largePrimes:3177187 encountered
Relations: rels:3014745, finalFF:214239
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 323499 hash collisions in 3418073 relations
Msieve: matrix is 225284 x 225532 (60.0 MB)

Total sieving time: 3.96 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1380000,1380000,26,26,56,56,2.3,2.3,75000
total time: 4.02 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 KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)

59×10140-419

c133

name 名前Serge Batalov
date 日付August 28, 2009 02:30:05 UTC 2009 年 8 月 28 日 (金) 11 時 30 分 5 秒 (日本時間)
composite number 合成数
4486659100532058682304100237524721368070693704956523410204305520201252181384187214255470781348572114315447299528442166629976061308697<133>
prime factors 素因数
1121072026810203394520355219374897<34>
665636968570409833311374016398251961<36>
6012458927193535206829524119375218118645993092105672468842645041<64>
factorization results 素因数分解の結果
SNFS difficulty: 141 digits.
Divisors found:
 r1=1121072026810203394520355219374897 (pp34)
 r2=665636968570409833311374016398251961 (pp36)
 r3=6012458927193535206829524119375218118645993092105672468842645041 (pp64)
Version: Msieve v. 1.43
Total time: 2.99 hours.
Scaled time: 7.17 units (timescale=2.400).
Factorization parameters were as follows:
n: 4486659100532058682304100237524721368070693704956523410204305520201252181384187214255470781348572114315447299528442166629976061308697
m: 10000000000000000000000000000
deg: 5
c5: 59
c0: -41
skew: 0.93
type: snfs
lss: 1
rlim: 1610000
alim: 1610000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1610000/1610000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [805000, 1605001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 251292 x 251517
Total sieving time: 2.84 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1610000,1610000,26,26,48,48,2.3,2.3,100000
total time: 2.99 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)

59×10142-419

c110

name 名前Serge Batalov
date 日付August 27, 2009 18:10:39 UTC 2009 年 8 月 28 日 (金) 3 時 10 分 39 秒 (日本時間)
composite number 合成数
99188525553478613740693018714173592981572951837275851680687204631968974415083826327584353647304252763642664539<110>
prime factors 素因数
1279201868994144050132194828067<31>
137662433006997570220530848318162243587<39>
563257402843915535764008602767320453683491<42>
factorization results 素因数分解の結果
Input number is 99188525553478613740693018714173592981572951837275851680687204631968974415083826327584353647304252763642664539 (110 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3055685713
Step 1 took 2305ms
Step 2 took 1920ms
********** Factor found in step 2: 1279201868994144050132194828067
Found probable prime factor of 31 digits: 1279201868994144050132194828067
Composite cofactor has 80 digits

starting SIQS on c80: 77539384484695965128406068996129563971417687858859427676654726298502214942522217
==== sieve params ====
n = 80 digits, 266 bits
...
Lanczos elapsed time = 4.8700 seconds.
Sqrt elapsed time = 0.5300 seconds.
SIQS elapsed time = 379.4000 seconds.
***factors found***
PRP39 = 137662433006997570220530848318162243587
PRP42 = 563257402843915535764008602767320453683491
software ソフトウェア
GMP-ECM 6.2.3, yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)

59×10144-419

c88

name 名前Wataru Sakai
date 日付September 1, 2009 11:58:01 UTC 2009 年 9 月 1 日 (火) 20 時 58 分 1 秒 (日本時間)
composite number 合成数
4327063547188044230148567591766663446607409468377257772873755338116673621132197696477649<88>
prime factors 素因数
138047683300448222085519702666913652443<39>
31344702379181432031160906155447922850088032738243<50>
factorization results 素因数分解の結果
Fri Aug 28 16:00:29 2009  Msieve v. 1.42
Fri Aug 28 16:00:29 2009  random seeds: e5f7fef0 7bd40aad
Fri Aug 28 16:00:29 2009  factoring 4327063547188044230148567591766663446607409468377257772873755338116673621132197696477649 (88 digits)
Fri Aug 28 16:00:30 2009  searching for 15-digit factors
Fri Aug 28 16:00:31 2009  commencing quadratic sieve (88-digit input)
Fri Aug 28 16:00:31 2009  using multiplier of 5
Fri Aug 28 16:00:31 2009  using 64kb Pentium 3 sieve core
Fri Aug 28 16:00:31 2009  sieve interval: 14 blocks of size 65536
Fri Aug 28 16:00:31 2009  processing polynomials in batches of 8
Fri Aug 28 16:00:31 2009  using a sieve bound of 1527497 (57966 primes)
Fri Aug 28 16:00:31 2009  using large prime bound of 122199760 (26 bits)
Fri Aug 28 16:00:31 2009  using double large prime bound of 360351695070240 (42-49 bits)
Fri Aug 28 16:00:31 2009  using trial factoring cutoff of 49 bits
Fri Aug 28 16:00:31 2009  polynomial 'A' values have 11 factors
Fri Aug 28 17:52:14 2009  58122 relations (15513 full + 42609 combined from 620007 partial), need 58062
Fri Aug 28 17:52:15 2009  begin with 635520 relations
Fri Aug 28 17:52:15 2009  reduce to 141666 relations in 9 passes
Fri Aug 28 17:52:15 2009  attempting to read 141666 relations
Fri Aug 28 17:52:19 2009  recovered 141666 relations
Fri Aug 28 17:52:19 2009  recovered 121281 polynomials
Fri Aug 28 17:52:20 2009  attempting to build 58122 cycles
Fri Aug 28 17:52:20 2009  found 58122 cycles in 5 passes
Fri Aug 28 17:52:20 2009  distribution of cycle lengths:
Fri Aug 28 17:52:20 2009     length 1 : 15513
Fri Aug 28 17:52:20 2009     length 2 : 11293
Fri Aug 28 17:52:20 2009     length 3 : 10112
Fri Aug 28 17:52:20 2009     length 4 : 7777
Fri Aug 28 17:52:20 2009     length 5 : 5525
Fri Aug 28 17:52:20 2009     length 6 : 3418
Fri Aug 28 17:52:20 2009     length 7 : 2054
Fri Aug 28 17:52:20 2009     length 9+: 2430
Fri Aug 28 17:52:20 2009  largest cycle: 19 relations
Fri Aug 28 17:52:20 2009  matrix is 57966 x 58122 (14.0 MB) with weight 3441484 (59.21/col)
Fri Aug 28 17:52:20 2009  sparse part has weight 3441484 (59.21/col)
Fri Aug 28 17:52:21 2009  filtering completed in 3 passes
Fri Aug 28 17:52:21 2009  matrix is 54094 x 54158 (13.2 MB) with weight 3241096 (59.85/col)
Fri Aug 28 17:52:21 2009  sparse part has weight 3241096 (59.85/col)
Fri Aug 28 17:52:21 2009  saving the first 48 matrix rows for later
Fri Aug 28 17:52:21 2009  matrix is 54046 x 54158 (9.3 MB) with weight 2653683 (49.00/col)
Fri Aug 28 17:52:21 2009  sparse part has weight 2108341 (38.93/col)
Fri Aug 28 17:52:21 2009  matrix includes 64 packed rows
Fri Aug 28 17:52:21 2009  using block size 21663 for processor cache size 1024 kB
Fri Aug 28 17:52:22 2009  commencing Lanczos iteration
Fri Aug 28 17:52:22 2009  memory use: 9.0 MB
Fri Aug 28 17:52:53 2009  lanczos halted after 856 iterations (dim = 54042)
Fri Aug 28 17:52:54 2009  recovered 15 nontrivial dependencies
Fri Aug 28 17:52:54 2009  prp39 factor: 138047683300448222085519702666913652443
Fri Aug 28 17:52:54 2009  prp50 factor: 31344702379181432031160906155447922850088032738243
Fri Aug 28 17:52:54 2009  elapsed time 01:52:25

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)

59×10145-419

c127

name 名前Erik Branger
date 日付August 28, 2009 15:15:40 UTC 2009 年 8 月 29 日 (土) 0 時 15 分 40 秒 (日本時間)
composite number 合成数
9767439025466310689382920239378941208099550425943607238692087452651281025110190773764650914274716357618807670061234159412815089<127>
prime factors 素因数
549690954084227334046373836255244354233007<42>
721044887110064073265612393855556722934303<42>
24643354074993241023553893354420056835203009<44>
factorization results 素因数分解の結果
Number: 65551_145
N=9767439025466310689382920239378941208099550425943607238692087452651281025110190773764650914274716357618807670061234159412815089
  ( 127 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=549690954084227334046373836255244354233007 (pp42)
 r2=721044887110064073265612393855556722934303 (pp42)
 r3=24643354074993241023553893354420056835203009 (pp44)
Version: Msieve v. 1.41
Total time: 14.27 hours.
Scaled time: 11.19 units (timescale=0.784).
Factorization parameters were as follows:
n: 9767439025466310689382920239378941208099550425943607238692087452651281025110190773764650914274716357618807670061234159412815089
m: 100000000000000000000000000000
deg: 5
c5: 59
c0: -41
skew: 0.93
type: snfs
lss: 1
rlim: 1960000
alim: 1960000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1960000/1960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [980000, 2180001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 318356 x 318596
Total sieving time: 13.32 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.52 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1960000,1960000,26,26,49,49,2.3,2.3,100000
total time: 14.27 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)

59×10147-419

c107

name 名前Serge Batalov
date 日付August 27, 2009 19:22:49 UTC 2009 年 8 月 28 日 (金) 4 時 22 分 49 秒 (日本時間)
composite number 合成数
94110342869958171576242680016045319074230185151313997602647690703564499860853977924430766536047422941642763<107>
prime factors 素因数
266941962748313436907550064124241<33>
352549827314674485749210699129788765635093418756045159371124172879548044443<75>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1124467645
Step 1 took 6828ms
Step 2 took 4264ms
********** Factor found in step 2: 266941962748313436907550064124241
Found probable prime factor of 33 digits: 266941962748313436907550064124241
Probable prime cofactor has 75 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)

59×10148-419

c121

name 名前Sinkiti Sibata
date 日付August 28, 2009 21:57:31 UTC 2009 年 8 月 29 日 (土) 6 時 57 分 31 秒 (日本時間)
composite number 合成数
4599240832329483446438911438293912091197844869217679103966516381860976339020948840206178483537950205688304180256538321073<121>
prime factors 素因数
90745693245729358517082419197212783245968267481<47>
50682745018821389408300370756291566831716285785457828913075299356070158233<74>
factorization results 素因数分解の結果
Number: 65551_148
N=4599240832329483446438911438293912091197844869217679103966516381860976339020948840206178483537950205688304180256538321073
  ( 121 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=90745693245729358517082419197212783245968267481 (pp47)
 r2=50682745018821389408300370756291566831716285785457828913075299356070158233 (pp74)
Version: Msieve-1.40
Total time: 21.67 hours.
Scaled time: 43.75 units (timescale=2.019).
Factorization parameters were as follows:
name: 65551_148
n: 4599240832329483446438911438293912091197844869217679103966516381860976339020948840206178483537950205688304180256538321073
m: 500000000000000000000000000000
deg: 5
c5: 472
c0: -1025
skew: 1.17
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4

*1 These parameters were not fully adjusted. The approximate expressions which were 
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 2050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 437631 x 437879
Total sieving time: 20.54 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.67 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 21.67 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 KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)

59×10149-419

c116

name 名前Jo Yeong Uk
date 日付August 29, 2009 08:40:15 UTC 2009 年 8 月 29 日 (土) 17 時 40 分 15 秒 (日本時間)
composite number 合成数
10541214855937628876152464065866311686150262293869601020055860706093425225533958519391800940530932095752139904813911<116>
prime factors 素因数
652082745253715773516074932609579615606989934537126869<54>
16165455891393350287819085890362832406948198797702538297578619<62>
factorization results 素因数分解の結果
Number: 65551_149
N=10541214855937628876152464065866311686150262293869601020055860706093425225533958519391800940530932095752139904813911
  ( 116 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=652082745253715773516074932609579615606989934537126869
 r2=16165455891393350287819085890362832406948198797702538297578619
Version: 
Total time: 10.94 hours.
Scaled time: 26.12 units (timescale=2.387).
Factorization parameters were as follows:
n: 10541214855937628876152464065866311686150262293869601020055860706093425225533958519391800940530932095752139904813911
m: 1000000000000000000000000000000
deg: 5
c5: 59
c0: -410
skew: 1.47
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 7377549
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 392381 x 392629
Total sieving time: 10.17 hours.
Total relation processing time: 0.39 hours.
Matrix solve time: 0.31 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2000000,2000000,27,27,49,49,2.4,2.4,100000
total time: 10.94 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=2673794)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672340)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)

59×10151-419

c117

name 名前Sinkiti Sibata
date 日付August 29, 2009 21:42:40 UTC 2009 年 8 月 30 日 (日) 6 時 42 分 40 秒 (日本時間)
composite number 合成数
191394522721757338189978481862379468868860410055039494993662461032118366979363583455183244670769264779036865753815859<117>
prime factors 素因数
4559565812653039995170667321098441921755424461139<49>
41976479907500678916377186105933586601154615587003436570164974072481<68>
factorization results 素因数分解の結果
Number: 65551_151
N=191394522721757338189978481862379468868860410055039494993662461032118366979363583455183244670769264779036865753815859
  ( 117 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=4559565812653039995170667321098441921755424461139 (pp49)
 r2=41976479907500678916377186105933586601154615587003436570164974072481 (pp68)
Version: Msieve-1.40
Total time: 22.57 hours.
Scaled time: 47.06 units (timescale=2.085).
Factorization parameters were as follows:
name: 65551_151
n: 191394522721757338189978481862379468868860410055039494993662461032118366979363583455183244670769264779036865753815859
m: 1000000000000000000000000000000
deg: 5
c5: 590
c0: -41
skew: 0.59
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 2150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 467967 x 468215
Total sieving time: 21.24 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.76 hours.
Time per square root: 0.43 hours.
Prototype def-par.txt line would be:
snfs,152.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 22.57 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 KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)

59×10153-419

c152

name 名前Dmitry Domanov
date 日付August 28, 2009 20:08:52 UTC 2009 年 8 月 29 日 (土) 5 時 8 分 52 秒 (日本時間)
composite number 合成数
92331768388106416275430359937402190923317683881064162754303599374021909233176838810641627543035993740219092331768388106416275430359937402190923317683881<152>
prime factors 素因数
31547078069965587199548803369110194703<38>
composite cofactor 合成数の残り
2926793035581032985985372497805728366509485826817219355709884856091272013245694366598974490036970962573306601872327<115>
factorization results 素因数分解の結果
C152=P38*C115
C152=31547078069965587199548803369110194703<38>*2926793035581032985985372497805728366509485826817219355709884856091272013245694366598974490036970962573306601872327<115>
software ソフトウェア
ECMNET

c115

name 名前Robert Backstrom
date 日付September 2, 2009 08:37:08 UTC 2009 年 9 月 2 日 (水) 17 時 37 分 8 秒 (日本時間)
composite number 合成数
2926793035581032985985372497805728366509485826817219355709884856091272013245694366598974490036970962573306601872327<115>
prime factors 素因数
73342284603167236937378850206607287487629<41>
39905943091587869748534627021584733575920194395623184525750449074965747363<74>
factorization results 素因数分解の結果
Number: n
N=2926793035581032985985372497805728366509485826817219355709884856091272013245694366598974490036970962573306601872327
  ( 115 digits)
SNFS difficulty: 156 digits.
Divisors found:

Wed Sep 02 18:33:10 2009  prp41 factor: 73342284603167236937378850206607287487629
Wed Sep 02 18:33:10 2009  prp74 factor: 39905943091587869748534627021584733575920194395623184525750449074965747363
Wed Sep 02 18:33:10 2009  elapsed time 01:15:38 (Msieve 1.39 - dependency 3)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 22.88 hours.
Scaled time: 41.85 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_6_5_152_1
n: 2926793035581032985985372497805728366509485826817219355709884856091272013245694366598974490036970962573306601872327
m: 5000000000000000000000000000000
deg: 5
c5: 472
c0: -1025
skew: 1.17
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 26
lpba: 26
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 20000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 56/56
Sieved  special-q in [1400000, 2727419)
Primes: RFBsize:203362, AFBsize:203613, largePrimes:5498081 encountered
Relations: rels:5530934, finalFF:406243
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 528977 hash collisions in 6054896 relations
Msieve: matrix is 523627 x 523875 (139.9 MB)

Total sieving time: 22.74 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,26,26,56,56,2.4,2.4,100000
total time: 22.88 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--
351e6120 / 904118Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)
131547078069965587199548803369110194703August 28, 2009 02:13:54 UTC 2009 年 8 月 28 日 (金) 11 時 13 分 54 秒 (日本時間)
1Serge BatalovAugust 28, 2009 06:27:35 UTC 2009 年 8 月 28 日 (金) 15 時 27 分 35 秒 (日本時間)

59×10154-419

c152

name 名前Dmitry Domanov
date 日付August 28, 2009 20:11:00 UTC 2009 年 8 月 29 日 (土) 5 時 11 分 0 秒 (日本時間)
composite number 合成数
17265092324349632751002253240862669358850554531355163433119714394404939572176864776285371492113656980657244023059140256927984080999619582711497380973283<152>
prime factors 素因数
159093639765504071562915217735497341<36>
composite cofactor 合成数の残り
108521574776952115645717588039054192051980803534687113921049522702179053232133262478345190473870479199937478718448863<117>
factorization results 素因数分解の結果
C152=P36*C117
C152=159093639765504071562915217735497341<36>*108521574776952115645717588039054192051980803534687113921049522702179053232133262478345190473870479199937478718448863<117>
software ソフトウェア
ECMNET

c117

name 名前Erik Branger
date 日付August 31, 2009 13:58:27 UTC 2009 年 8 月 31 日 (月) 22 時 58 分 27 秒 (日本時間)
composite number 合成数
108521574776952115645717588039054192051980803534687113921049522702179053232133262478345190473870479199937478718448863<117>
prime factors 素因数
2589791619531563881290259667937807775007827680200185973<55>
41903593307858982204461105941512747941924740493989831900396931<62>
factorization results 素因数分解の結果
Number: 65551_154
N=108521574776952115645717588039054192051980803534687113921049522702179053232133262478345190473870479199937478718448863
  ( 117 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=2589791619531563881290259667937807775007827680200185973 (pp55)
 r2=41903593307858982204461105941512747941924740493989831900396931 (pp62)
Version: Msieve v. 1.42
Total time: 46.92 hours.
Scaled time: 18.02 units (timescale=0.384).
Factorization parameters were as follows:
n: 108521574776952115645717588039054192051980803534687113921049522702179053232133262478345190473870479199937478718448863 
m: 10000000000000000000000000000000 
deg: 5 
c5: 59 
c0: -410 
skew: 1.47 
type: snfs 
lss: 1 
rlim: 2900000 
alim: 2900000 
lpbr: 27 
lpba: 27 
mfbr: 50 
mfba: 50 
rlambda: 2.4 
alambda: 2.4 
qintsize: 100000
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 551770 x 551994
Total sieving time: 45.21 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.05 hours.
Time per square root: 0.55 hours.
Prototype def-par.txt line would be:
snfs ,156.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,
total time: 46.92 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)

59×10156-419

c152

name 名前Dmitry Domanov
date 日付September 1, 2009 14:46:07 UTC 2009 年 9 月 1 日 (火) 23 時 46 分 7 秒 (日本時間)
composite number 合成数
17474538264944210315249555658033356227940246556849559923005407332967848922842805273519469745502601781040481396873123893587762610470921035523366863714299<152>
prime factors 素因数
122402430418751797731067365839873473441811272250720725639712914399843<69>
142763000744037084102025742155044287189683532814771668495075908139458734730887232393<84>
factorization results 素因数分解の結果
N=17474538264944210315249555658033356227940246556849559923005407332967848922842805273519469745502601781040481396873123893587762610470921035523366863714299
  ( 152 digits)
SNFS difficulty: 157 digits.
Divisors found:
r1=122402430418751797731067365839873473441811272250720725639712914399843 (pp69)
r2=142763000744037084102025742155044287189683532814771668495075908139458734730887232393 (pp84)
Version: Msieve-1.40
Total time: 23.63 hours.
Scaled time: 43.71 units (timescale=1.850).
Factorization parameters were as follows:
n: 17474538264944210315249555658033356227940246556849559923005407332967848922842805273519469745502601781040481396873123893587762610470921035523366863714299
m: 10000000000000000000000000000000
deg: 5
c5: 590
c0: -41
skew: 0.59
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 580838 x 581063
Total sieving time: 22.42 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 1.05 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 23.63 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve 1.42

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)

59×10158-419

c123

name 名前Robert Backstrom
date 日付August 29, 2009 00:48:35 UTC 2009 年 8 月 29 日 (土) 9 時 48 分 35 秒 (日本時間)
composite number 合成数
599543549019282937413245056494763681133772472976550903769136303031395960534601089463284130350567362781324328315687520801073<123>
prime factors 素因数
217923913046764811356626710395989581702567843659<48>
2751159983487564578438662871520344645588319823419937844950095840125164584947<76>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 599543549019282937413245056494763681133772472976550903769136303031395960534601089463284130350567362781324328315687520801073 (123 digits)
Using B1=2958000, B2=4281751120, polynomial Dickson(6), sigma=962280220
Step 1 took 25656ms
Step 2 took 10953ms
********** Factor found in step 2: 217923913046764811356626710395989581702567843659
Found probable prime factor of 48 digits: 217923913046764811356626710395989581702567843659
Probable prime cofactor 2751159983487564578438662871520344645588319823419937844950095840125164584947 has 76 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)

59×10159-419

c143

name 名前Jo Yeong Uk
date 日付August 28, 2009 10:55:03 UTC 2009 年 8 月 28 日 (金) 19 時 55 分 3 秒 (日本時間)
composite number 合成数
17608219878832569939402941493323999511486423867559456103886959410813000481338848062703009217991518592534765451863274229281547530390998016286817<143>
prime factors 素因数
2598169745728791720663187707556303091<37>
composite cofactor 合成数の残り
6777163003987420249369446581356217664161110220076196504409799447202003922532945122069823146006361732496987<106>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 17608219878832569939402941493323999511486423867559456103886959410813000481338848062703009217991518592534765451863274229281547530390998016286817 (143 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=6442492946
Step 1 took 4048ms
Step 2 took 2450ms
********** Factor found in step 2: 2598169745728791720663187707556303091
Found probable prime factor of 37 digits: 2598169745728791720663187707556303091
Composite cofactor 6777163003987420249369446581356217664161110220076196504409799447202003922532945122069823146006361732496987 has 106 digits
execution environment 実行環境
Core 2 Quad Q6700

c106

name 名前Jo Yeong Uk
date 日付August 29, 2009 00:00:46 UTC 2009 年 8 月 29 日 (土) 9 時 0 分 46 秒 (日本時間)
composite number 合成数
6777163003987420249369446581356217664161110220076196504409799447202003922532945122069823146006361732496987<106>
prime factors 素因数
820889968246951339790540386495386854270140538021<48>
8255872609163889121125670485890992574796509420461607010047<58>
factorization results 素因数分解の結果
Number: 65551_159
N=6777163003987420249369446581356217664161110220076196504409799447202003922532945122069823146006361732496987
  ( 106 digits)
Divisors found:
 r1=820889968246951339790540386495386854270140538021
 r2=8255872609163889121125670485890992574796509420461607010047
Version: 
Total time: 5.41 hours.
Scaled time: 12.69 units (timescale=2.348).
Factorization parameters were as follows:
name: 65551_159
n: 6777163003987420249369446581356217664161110220076196504409799447202003922532945122069823146006361732496987
skew: 12582.78
# norm 1.29e+15
c5: 262440
c4: -4659048357
c3: -146542938404236
c2: 790340887867501438
c1: 8313308791385384666564
c0: -14544187091187097192015545
# alpha -7.04
Y1: 86304481709
Y0: -120893981641063169426
# Murphy_E 1.67e-09
# M 233941627322368526897049390385975758084765376780110111644521819338376892631029209741812043543819236488285
type: gnfs
rlim: 2000000
alim: 2000000
lpbr: 27
lpba: 27
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: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1000000, 1850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 7132778
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 299772 x 300020
Polynomial selection time: 0.38 hours.
Total sieving time: 4.16 hours.
Total relation processing time: 0.59 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2000000,2000000,27,27,50,50,2.6,2.6,50000
total time: 5.41 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.. 5347.61 BogoMIPS (lpj=2673805)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672349)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672340)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)

59×10161-419

c96

name 名前Jo Yeong Uk
date 日付August 27, 2009 15:48:22 UTC 2009 年 8 月 28 日 (金) 0 時 48 分 22 秒 (日本時間)
composite number 合成数
375851638375289155490915074834142837946749360995064073843851662872671638502051544695517521441387<96>
prime factors 素因数
356847838604780119196330765207415979007<39>
1053254630446441697498609349401656856796194164343781800341<58>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 375851638375289155490915074834142837946749360995064073843851662872671638502051544695517521441387 (96 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=5608720449
Step 1 took 2980ms
Step 2 took 3260ms
********** Factor found in step 2: 356847838604780119196330765207415979007
Found probable prime factor of 39 digits: 356847838604780119196330765207415979007
Probable prime cofactor 1053254630446441697498609349401656856796194164343781800341 has 58 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)

59×10162-419

c148

name 名前Sinkiti Sibata
date 日付September 1, 2009 10:30:08 UTC 2009 年 9 月 1 日 (火) 19 時 30 分 8 秒 (日本時間)
composite number 合成数
1184208004955210770830172663043312929709173836438995308375769074655838736378823569880462727262595960362475989456294661603514048867308740826145844229<148>
prime factors 素因数
121239891454093519261731817652882419678157587<45>
9767478267692126100157672302286065670936776448217885428023920416603215607907947844277447345437813925767<103>
factorization results 素因数分解の結果
Number: 65551_162
N=1184208004955210770830172663043312929709173836438995308375769074655838736378823569880462727262595960362475989456294661603514048867308740826145844229
  ( 148 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=121239891454093519261731817652882419678157587 (pp45)
 r2=9767478267692126100157672302286065670936776448217885428023920416603215607907947844277447345437813925767 (pp103)
Version: Msieve-1.40
Total time: 58.87 hours.
Scaled time: 122.74 units (timescale=2.085).
Factorization parameters were as follows:
name: 65551_162
n: 1184208004955210770830172663043312929709173836438995308375769074655838736378823569880462727262595960362475989456294661603514048867308740826145844229
m: 200000000000000000000000000000000
deg: 5
c5: 1475
c0: -328
skew: 0.74
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 4250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 740219 x 740467
Total sieving time: 56.25 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.05 hours.
Time per square root: 0.37 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 58.87 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 KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)

59×10165-419

c141

name 名前Jo Yeong Uk
date 日付August 30, 2009 09:18:14 UTC 2009 年 8 月 30 日 (日) 18 時 18 分 14 秒 (日本時間)
composite number 合成数
413503941583081550029323061610568526119686926032409887198149321241700574934648467048889309789763186916268930747752107818183593351933005620469<141>
prime factors 素因数
6340161287912131268161125425786578533212741867<46>
65219782716166814592146317374475128145739944922584322010120403135302390427100230848435276962207<95>
factorization results 素因数分解の結果
Number: 65551_165
N=413503941583081550029323061610568526119686926032409887198149321241700574934648467048889309789763186916268930747752107818183593351933005620469
  ( 141 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=6340161287912131268161125425786578533212741867
 r2=65219782716166814592146317374475128145739944922584322010120403135302390427100230848435276962207
Version: 
Total time: 25.78 hours.
Scaled time: 61.36 units (timescale=2.380).
Factorization parameters were as follows:
n: 413503941583081550029323061610568526119686926032409887198149321241700574934648467048889309789763186916268930747752107818183593351933005620469
m: 1000000000000000000000000000000000
deg: 5
c5: 59
c0: -41
skew: 0.93
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2300000, 4400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10023616
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 759607 x 759855
Total sieving time: 23.19 hours.
Total relation processing time: 1.02 hours.
Matrix solve time: 1.18 hours.
Time per square root: 0.39 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,51,51,2.4,2.4,100000
total time: 25.78 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=2673794)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672340)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)

59×10167-419

c153

name 名前Sinkiti Sibata
date 日付August 31, 2009 13:37:19 UTC 2009 年 8 月 31 日 (月) 22 時 37 分 19 秒 (日本時間)
composite number 合成数
214159486575596141707211680720002581157646854390477143895630202872280827983759826601254749071627804247303991319745959188294916234845748005710716517739007<153>
prime factors 素因数
29066651586528410702821561866512390233285664069<47>
7367876067116486925377923809061947616100280902108981773894021319523839837975817484936114364116391604057203<106>
factorization results 素因数分解の結果
Number: 65551_167
N=214159486575596141707211680720002581157646854390477143895630202872280827983759826601254749071627804247303991319745959188294916234845748005710716517739007
  ( 153 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=29066651586528410702821561866512390233285664069 (pp47)
 r2=7367876067116486925377923809061947616100280902108981773894021319523839837975817484936114364116391604057203 (pp106)
Version: Msieve-1.40
Total time: 61.17 hours.
Scaled time: 203.20 units (timescale=3.322).
Factorization parameters were as follows:
name: 65551_167
n: 214159486575596141707211680720002581157646854390477143895630202872280827983759826601254749071627804247303991319745959188294916234845748005710716517739007
m: 2000000000000000000000000000000000
deg: 5
c5: 1475
c0: -328
skew: 0.74
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2350000, 5550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 935564 x 935811
Total sieving time: 59.13 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.66 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,169.000,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000
total time: 61.17 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 KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)

59×10170-419

c146

name 名前Robert Backstrom
date 日付August 30, 2009 23:08:11 UTC 2009 年 8 月 31 日 (月) 8 時 8 分 11 秒 (日本時間)
composite number 合成数
43838688281452999209382287472067018505906351758921389540363873721972984740431326457383916438597688638236307286955968711139765929965483119754642619<146>
prime factors 素因数
804107783923129451039657356402486843<36>
2776050591687826340964640438188313241988097739<46>
19638843448420433381809909722623979282848939454441955452939170147<65>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 43838688281452999209382287472067018505906351758921389540363873721972984740431326457383916438597688638236307286955968711139765929965483119754642619 (146 digits)
Using B1=3242000, B2=5707206970, polynomial Dickson(6), sigma=2430415712
Step 1 took 38250ms
Step 2 took 14281ms
********** Factor found in step 2: 804107783923129451039657356402486843
Found probable prime factor of 36 digits: 804107783923129451039657356402486843
Composite cofactor 54518422975052135935953956558967048083415118898869480584619417866224478054192616489161192182019931353786997633 has 110 digits


Number: n
N=54518422975052135935953956558967048083415118898869480584619417866224478054192616489161192182019931353786997633
  ( 110 digits)
Divisors found:
 r1=2776050591687826340964640438188313241988097739 (pp46)
 r2=19638843448420433381809909722623979282848939454441955452939170147 (pp65)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 16.34 hours.
Scaled time: 29.87 units (timescale=1.828).
Factorization parameters were as follows:
name: KA_6_5_169_1
n: 54518422975052135935953956558967048083415118898869480584619417866224478054192616489161192182019931353786997633
Y0: -1907280307381663206726
Y1:  332678452343
c0:  899049179931483930219743873
c1: -50751007675298549806423
c2: -1403077213923752919
c3:  75397464258793
c4:  482168956
c5:  2160
skew: 32525.21
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 20000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [1600000, 2160001)
Primes: RFBsize:230209, AFBsize:230958, largePrimes:16207647 encountered
Relations: rels:14256599, finalFF:544460
Max relations in full relation-set: 48
Initial matrix: 461242 x 544460 with sparse part having weight 61863544.
Pruned matrix : 397836 x 400206 with weight 37670194.
Total sieving time: 13.78 hours.
Total relation processing time: 0.51 hours.
Matrix solve time: 1.82 hours.
Total square root time: 0.22 hours, sqrts: 1.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,28,28,56,56,2.6,2.6,100000
total time: 16.34 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)

59×10171-419

c165

name 名前Dmitry Domanov
date 日付November 16, 2009 13:27:42 UTC 2009 年 11 月 16 日 (月) 22 時 27 分 42 秒 (日本時間)
composite number 合成数
807868994539805163632974818874059837322843743225111339751729260698680981338459001942486765633904744550249266608995774612382744832948643918636747635542034840979820213<165>
prime factors 素因数
115282334389384451975024500292983441235287<42>
7007743196898658551854826666555383080225449060710447335296189818414329538606806627654954847443983562896198346607513316876499<124>
factorization results 素因数分解の結果
N=807868994539805163632974818874059837322843743225111339751729260698680981338459001942486765633904744550249266608995774612382744832948643918636747635542034840979820213
  ( 165 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=115282334389384451975024500292983441235287 (pp42)
 r2=7007743196898658551854826666555383080225449060710447335296189818414329538606806627654954847443983562896198346607513316876499 (pp124)
Version: Msieve-1.40
Total time: 99.95 hours.
Scaled time: 93.55 units (timescale=0.936).
Factorization parameters were as follows:
n: 807868994539805163632974818874059837322843743225111339751729260698680981338459001942486765633904744550249266608995774612382744832948643918636747635542034840979820213
m: 10000000000000000000000000000000000
deg: 5
c5: 590
c0: -41
skew: 0.59
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 6550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1033831 x 1034061
Total sieving time: 97.83 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.79 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 99.95 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)

59×10172-419

c123

name 名前Erik Branger
date 日付November 17, 2009 18:32:38 UTC 2009 年 11 月 18 日 (水) 3 時 32 分 38 秒 (日本時間)
composite number 合成数
136654940029478911849727109316279734444197648667253976171378912414680437926200903241898447268360383419731066103731951176109<123>
prime factors 素因数
6709643923662083287600130339490360747447730333693040348921<58>
20366943698391295213823441988462062034872745975969857861877209429<65>
factorization results 素因数分解の結果
Number: 65551_172
N=136654940029478911849727109316279734444197648667253976171378912414680437926200903241898447268360383419731066103731951176109
  ( 123 digits)
Divisors found:
 r1=6709643923662083287600130339490360747447730333693040348921 (pp58)
 r2=20366943698391295213823441988462062034872745975969857861877209429 (pp65)
Version: Msieve v. 1.43
Total time: 60.19 hours.
Scaled time: 58.44 units (timescale=0.971).
Factorization parameters were as follows:
n: 136654940029478911849727109316279734444197648667253976171378912414680437926200903241898447268360383419731066103731951176109
skew: 772856.50
#skew 772856.50, size 9.317641e-012, alpha -7.085631, combined = 2.065199e-010
c5: 600
c4: -431270722
c3: 325013098061919
c2: -1039884277173083768092
c1: -378596922670397322214778260
c0: -1308313376079945581025641373600
Y1: 9213761994587
Y0: -743867510048013670888093
type: gnfs
rlim: 6000000
alim: 6000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [3000000, 5400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 880216 x 880442
Total sieving time: 57.70 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 1.86 hours.
Time per square root: 0.37 hours.
Prototype def-par.txt line would be:
gnfs,122,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6000000,6000000,27,27,52,52,2.5,2.5,100000
total time: 60.19 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
351e6904118Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)
786Wataru SakaiAugust 29, 2009 05:20:38 UTC 2009 年 8 月 29 日 (土) 14 時 20 分 38 秒 (日本時間)
403e624696David DohertyOctober 25, 2009 22:34:17 UTC 2009 年 10 月 26 日 (月) 7 時 34 分 17 秒 (日本時間)
4511e60--
5043e610000Mary Ann MajorOctober 25, 2009 22:41:38 UTC 2009 年 10 月 26 日 (月) 7 時 41 分 38 秒 (日本時間)

59×10173-419

c153

name 名前anonymous
date 日付February 26, 2010 12:27:58 UTC 2010 年 2 月 26 日 (金) 21 時 27 分 58 秒 (日本時間)
composite number 合成数
629358388698118028047763572863069420837431932014904707626070813736371703127655320372189392698649074041386569279335263615755157758375155393535993243878519<153>
prime factors 素因数
188818546170980985991966622094627059<36>
3333138621500743364985249037678973328496655619000150402432264984650284382110730703415776466634805189234672111185624941<118>
factorization results 素因数分解の結果
pp36: 188818546170980985991966622094627059
pp118: 3333138621500743364985249037678973328496655619000150402432264984650284382110730703415776466634805189234672111185624941

Using B1 =3e6 and sigma = 4265018856
software ソフトウェア
Distributed GMP-ECM 6.2.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)

59×10174-419

c153

name 名前Robert Backstrom
date 日付January 14, 2012 11:31:16 UTC 2012 年 1 月 14 日 (土) 20 時 31 分 16 秒 (日本時間)
composite number 合成数
117563066470835766776890948713221752752274397124150931917884392148254691646268526793170283360799583435037137894895949195044790200186085640983297848189467<153>
prime factors 素因数
5627043584953050982574887385136623642014878021399507808268793777833257<70>
20892510373511999305132680900364186014304966256423056484096715175772655176460890531<83>
factorization results 素因数分解の結果
Number: n
N=117563066470835766776890948713221752752274397124150931917884392148254691646268526793170283360799583435037137894895949195044790200186085640983297848189467
  ( 153 digits)
SNFS difficulty: 175 digits.
Divisors found:

Sat Jan 14 22:24:17 2012  prp70 factor: 5627043584953050982574887385136623642014878021399507808268793777833257
Sat Jan 14 22:24:17 2012  prp83 factor: 20892510373511999305132680900364186014304966256423056484096715175772655176460890531
Sat Jan 14 22:24:17 2012  elapsed time 03:04:40 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.650).
Factorization parameters were as follows:
name: KA_65551_174
n: 117563066470835766776890948713221752752274397124150931917884392148254691646268526793170283360799583435037137894895949195044790200186085640983297848189467
m: 10000000000000000000000000000000000
deg: 5
c5: 590000
c0: -41
skew: 0.15
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, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7936383 hash collisions in 75000091 relations
Msieve: matrix is 1228265 x 1228491 (342.3 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,175,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 7, 2010 17:29:14 UTC 2010 年 6 月 8 日 (火) 2 時 29 分 14 秒 (日本時間)
403e62126110Ignacio SantosJune 7, 2010 17:29:14 UTC 2010 年 6 月 8 日 (火) 2 時 29 分 14 秒 (日本時間)
2016Wataru SakaiJune 9, 2010 04:11:27 UTC 2010 年 6 月 9 日 (水) 13 時 11 分 27 秒 (日本時間)
4511e6832 / 399132Ignacio SantosJune 7, 2010 17:29:14 UTC 2010 年 6 月 8 日 (火) 2 時 29 分 14 秒 (日本時間)
800Rich DickersonAugust 24, 2011 13:39:50 UTC 2011 年 8 月 24 日 (水) 22 時 39 分 50 秒 (日本時間)

59×10176-419

c157

name 名前Serge Batalov
date 日付August 28, 2009 01:14:56 UTC 2009 年 8 月 28 日 (金) 10 時 14 分 56 秒 (日本時間)
composite number 合成数
9661328056945576351925999308581839769806578448795049659096462226247409215953101533415179606136943929480797761253506138998653559684976675340467250818491846987<157>
prime factors 素因数
38625847807622427747634970352985604971<38>
250125980536769192609880404461832864559611828012339046983407808013266788748920882215142885060832727293121873895915028897<120>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1022211378
Step 1 took 7720ms
Step 2 took 4092ms
********** Factor found in step 2: 38625847807622427747634970352985604971
Found probable prime factor of 38 digits: 38625847807622427747634970352985604971
Probable prime cofactor has 120 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)

59×10177-419

c177

name 名前Sinkiti Sibata
date 日付September 6, 2009 16:55:41 UTC 2009 年 9 月 7 日 (月) 1 時 55 分 41 秒 (日本時間)
composite number 合成数
139479905437352245862884160756501182033096926713947990543735224586288416075650118203309692671394799054373522458628841607565011820330969267139479905437352245862884160756501182033<177>
prime factors 素因数
39687847630220780350691478307685779181822692767363689<53>
3514423526740805777583860968498743829622846093892057431067432159680018844965167259451240360217848717877904331681750827177897<124>
factorization results 素因数分解の結果
Number: 65551_177
N=139479905437352245862884160756501182033096926713947990543735224586288416075650118203309692671394799054373522458628841607565011820330969267139479905437352245862884160756501182033
  ( 177 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=39687847630220780350691478307685779181822692767363689 (pp53)
 r2=3514423526740805777583860968498743829622846093892057431067432159680018844965167259451240360217848717877904331681750827177897 (pp124)
Version: Msieve-1.40
Total time: 141.35 hours.
Scaled time: 471.97 units (timescale=3.339).
Factorization parameters were as follows:
name: 65551_177
n: 139479905437352245862884160756501182033096926713947990543735224586288416075650118203309692671394799054373522458628841607565011820330969267139479905437352245862884160756501182033
m: 200000000000000000000000000000000000
deg: 5
c5: 1475
c0: -328
skew: 0.74
type: snfs
lss: 1
rlim: 6900000
alim: 6900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6900000/6900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3450000, 9950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1535526 x 1535774
Total sieving time: 135.54 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 5.32 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6900000,6900000,28,28,53,53,2.5,2.5,100000
total time: 141.35 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 KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)

59×10180-419

c150

name 名前Cyp
date 日付January 21, 2014 19:47:36 UTC 2014 年 1 月 22 日 (水) 4 時 47 分 36 秒 (日本時間)
composite number 合成数
142314291657678666757515954574824754145124093339789866966469573454490411474264473347266451173840477164650584891710839300502332013464062099844805390243<150>
prime factors 素因数
3498959971947964404177563935367166245827040121491<49>
40673312298125120362771875545022802000014247610287126391194634492846182677683014331879847162437175473<101>
factorization results 素因数分解の結果
01/20/14 19:34:21 v1.34.3, nfs: commencing nfs on c150: 142314291657678666757515954574824754145124093339789866966469573454490411474264473347266451173840477164650584891710839300502332013464062099844805390243
01/20/14 19:34:21 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/20/14 19:34:21 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/20/14 19:39:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
[166 lines snipped]
01/21/14 12:46:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/21/14 12:52:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/21/14 12:57:53 v1.34.3, nfs: commencing msieve filtering
01/21/14 13:02:06 v1.34.3, nfs: commencing msieve linear algebra
01/21/14 19:28:39 v1.34.3, 
01/21/14 19:28:39 v1.34.3, ****************************
01/21/14 19:28:39 v1.34.3, Starting factorization of 142314291657678666757515954574824754145124093339789866966469573454490411474264473347266451173840477164650584891710839300502332013464062099844805390243
01/21/14 19:28:39 v1.34.3, using pretesting plan: none
01/21/14 19:28:39 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/21/14 19:28:39 v1.34.3, ****************************
01/21/14 19:28:39 v1.34.3, nfs: commencing nfs on c150: 142314291657678666757515954574824754145124093339789866966469573454490411474264473347266451173840477164650584891710839300502332013464062099844805390243
01/21/14 19:28:39 v1.34.3, nfs: resuming with sieving at user specified special-q 10550003
01/21/14 19:28:39 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/21/14 19:51:52 v1.34.3, c150 cofactor = 142314291657678666757515954574824754145124093339789866966469573454490411474264473347266451173840477164650584891710839300502332013464062099844805390243
01/21/14 19:51:52 v1.34.3, Total factoring time = 1393.0629 seconds
01/21/14 19:53:04 v1.34.3, 
01/21/14 19:53:04 v1.34.3, ****************************
01/21/14 19:53:04 v1.34.3, Starting factorization of 142314291657678666757515954574824754145124093339789866966469573454490411474264473347266451173840477164650584891710839300502332013464062099844805390243
01/21/14 19:53:04 v1.34.3, using pretesting plan: none
01/21/14 19:53:04 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/21/14 19:53:04 v1.34.3, ****************************
01/21/14 19:53:04 v1.34.3, nfs: previous data file found - commencing search for last special-q
01/21/14 19:53:20 v1.34.3, nfs: parsing special-q from .dat file
01/21/14 19:53:20 v1.34.3, nfs: commencing nfs on c150: 142314291657678666757515954574824754145124093339789866966469573454490411474264473347266451173840477164650584891710839300502332013464062099844805390243
01/21/14 19:53:20 v1.34.3, nfs: resuming with filtering
01/21/14 19:53:20 v1.34.3, nfs: commencing msieve filtering
01/21/14 19:57:45 v1.34.3, nfs: commencing msieve linear algebra
01/21/14 20:43:38 v1.34.3, nfs: commencing msieve sqrt
01/21/14 20:47:35 v1.34.3, prp101 = 40673312298125120362771875545022802000014247610287126391194634492846182677683014331879847162437175473
01/21/14 20:47:35 v1.34.3, prp49 = 3498959971947964404177563935367166245827040121491
01/21/14 20:47:36 v1.34.3, NFS elapsed time = 3271.3493 seconds.
01/21/14 20:47:36 v1.34.3, 
01/21/14 20:47:36 v1.34.3, 
01/21/14 20:47:36 v1.34.3, Total factoring time = 3271.3503 seconds
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovMay 11, 2011 13:55:18 UTC 2011 年 5 月 11 日 (水) 22 時 55 分 18 秒 (日本時間)
4511e61450 / 4409600Rich DickersonAugust 24, 2011 01:27:09 UTC 2011 年 8 月 24 日 (水) 10 時 27 分 9 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:05:46 UTC 2013 年 11 月 9 日 (土) 2 時 5 分 46 秒 (日本時間)

59×10181-419

c143

name 名前Jo Yeong Uk
date 日付April 9, 2014 12:47:57 UTC 2014 年 4 月 9 日 (水) 21 時 47 分 57 秒 (日本時間)
composite number 合成数
27809959804809468086633347976805886077467561754749014087619864070109353853184938755939449231491174087027030982191199331483480981607838982855269<143>
prime factors 素因数
34738880532663068729533469930605625013098411328667561857347430344546579<71>
800542774504816999559070301078887412628977313727749349025183205750515111<72>
factorization results 素因数分解の結果
Number: 65551_181
N=27809959804809468086633347976805886077467561754749014087619864070109353853184938755939449231491174087027030982191199331483480981607838982855269
  ( 143 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=34738880532663068729533469930605625013098411328667561857347430344546579
 r2=800542774504816999559070301078887412628977313727749349025183205750515111
Version: 
Total time: 70.04 hours.
Scaled time: 368.14 units (timescale=5.256).
Factorization parameters were as follows:
n: 27809959804809468086633347976805886077467561754749014087619864070109353853184938755939449231491174087027030982191199331483480981607838982855269
m: 1000000000000000000000000000000000000
deg: 5
c5: 590
c0: -41
skew: 0.59
# Murphy_E = 6.639e-11
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3400000, 6700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18598973
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1461776 x 1462024
Total sieving time: 65.75 hours.
Total relation processing time: 1.57 hours.
Matrix solve time: 2.52 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 70.04 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49369348k/51380224k available (5326k kernel code, 1085960k absent, 924916k reserved, 7012k data, 1280k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7 4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovMay 11, 2011 13:55:25 UTC 2011 年 5 月 11 日 (水) 22 時 55 分 25 秒 (日本時間)
4511e61450 / 4409600Rich DickersonAugust 24, 2011 01:29:16 UTC 2011 年 8 月 24 日 (水) 10 時 29 分 16 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:06:05 UTC 2013 年 11 月 9 日 (土) 2 時 6 分 5 秒 (日本時間)

59×10183-419

c137

name 名前Jo Yeong Uk
date 日付July 18, 2014 11:44:13 UTC 2014 年 7 月 18 日 (金) 20 時 44 分 13 秒 (日本時間)
composite number 合成数
94135466056311873805694885689498817431080968165744937030305080383731667761802707994583639828354957562656368153069580107427920993050317081<137>
prime factors 素因数
544411335073644487748870706588760746589638802994078153681767<60>
172912391773727175037762031167738152109637323364539654255293583711995873513343<78>
factorization results 素因数分解の結果
Number: 65551_183
N=94135466056311873805694885689498817431080968165744937030305080383731667761802707994583639828354957562656368153069580107427920993050317081
  ( 137 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=544411335073644487748870706588760746589638802994078153681767
 r2=172912391773727175037762031167738152109637323364539654255293583711995873513343
Version: 
Total time: 96.99 hours.
Scaled time: 498.53 units (timescale=5.140).
Factorization parameters were as follows:
n: 94135466056311873805694885689498817431080968165744937030305080383731667761802707994583639828354957562656368153069580107427920993050317081
m: 2000000000000000000000000000000000000
deg: 5
c5: 7375
c0: -164
skew: 0.47
# Murphy_E = 4.55e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4000000, 8400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20859113
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1781305 x 1781553
Total sieving time: 89.85 hours.
Total relation processing time: 2.43 hours.
Matrix solve time: 4.22 hours.
Time per square root: 0.49 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,54,54,2.5,2.5,100000
total time: 96.99 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.41 BogoMIPS (lpj=3400205)
Total of 12 processors activated (81604.92 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovMay 11, 2011 13:55:32 UTC 2011 年 5 月 11 日 (水) 22 時 55 分 32 秒 (日本時間)
4511e6900 / 4409600Rich DickersonAugust 25, 2011 15:13:54 UTC 2011 年 8 月 26 日 (金) 0 時 13 分 54 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:51 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 51 秒 (日本時間)

59×10184-419

c182

name 名前Ignacio Santos
date 日付September 14, 2009 20:21:45 UTC 2009 年 9 月 15 日 (火) 5 時 21 分 45 秒 (日本時間)
composite number 合成数
14708448632612868646074838581008650562161892653254555879640016952110288435170642933712262857427766559469498666267793483409368533891755789893550719218208560815695659761174681524692743<182>
prime factors 素因数
3925650796614450304608790541101120065188901574343160408611576754300302438605223543<82>
3746754205773394619342272537105245022521421337297176218292005706321173734203160089060992570783164401<100>
factorization results 素因数分解の結果
Number: 65551_184
N=14708448632612868646074838581008650562161892653254555879640016952110288435170642933712262857427766559469498666267793483409368533891755789893550719218208560815695659761174681524692743
  ( 182 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=3925650796614450304608790541101120065188901574343160408611576754300302438605223543 (pp82)
 r2=3746754205773394619342272537105245022521421337297176218292005706321173734203160089060992570783164401 (pp100)
Version: Msieve-1.40
Total time: 302.32 hours.
Scaled time: 525.74 units (timescale=1.739).
Factorization parameters were as follows:
n: 14708448632612868646074838581008650562161892653254555879640016952110288435170642933712262857427766559469498666267793483409368533891755789893550719218208560815695659761174681524692743
m: 10000000000000000000000000000000000000
deg: 5
c5: 59
c0: -410
skew: 1.47
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4550000, 9550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2015554 x 2015780
Total sieving time: 295.54 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 6.26 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000
total time: 302.32 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)
786Wataru SakaiSeptember 1, 2009 12:00:34 UTC 2009 年 9 月 1 日 (火) 21 時 0 分 34 秒 (日本時間)

59×10185-419

c184

name 名前Serge Batalov
date 日付August 28, 2009 00:44:40 UTC 2009 年 8 月 28 日 (金) 9 時 44 分 40 秒 (日本時間)
composite number 合成数
1867679645457423235201012978790756568534346312124089901867679645457423235201012978790756568534346312124089901867679645457423235201012978790756568534346312124089901867679645457423235201<184>
prime factors 素因数
3314037138425310906358457868773<31>
563566299183015474614878269645043450470219877270863059769326842164610494746548875667368937571772996793911384692710424597648306758405487025010001461232237<153>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3092775926
Step 1 took 8885ms
Step 2 took 4720ms
********** Factor found in step 2: 3314037138425310906358457868773
Found probable prime factor of 31 digits: 3314037138425310906358457868773
Probable prime cofactor has 153 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)

59×10189-419

c146

composite cofactor 合成数の残り
59994795946274186162278006559728147951790317445194796619413985197278825922709347763004700265203206965219233568656655939889803865718880040112031217<146>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovMay 11, 2011 13:55:41 UTC 2011 年 5 月 11 日 (水) 22 時 55 分 41 秒 (日本時間)
4511e6900 / 4409600Rich DickersonAugust 27, 2011 14:30:11 UTC 2011 年 8 月 27 日 (土) 23 時 30 分 11 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:52 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 52 秒 (日本時間)

59×10190-419

c136

name 名前Robert Backstrom
date 日付May 10, 2012 20:13:48 UTC 2012 年 5 月 11 日 (金) 5 時 13 分 48 秒 (日本時間)
composite number 合成数
2198221520953623588426921545282656568094057811213750627560309877710343039810458874169469331348847721172246027980925828023416257252786307<136>
prime factors 素因数
2667403735933742150683437425903433998668372659718959747770928948289<67>
824105286852693765719532569848518943138801048014139675430266182656963<69>
factorization results 素因数分解の結果
Number: n
N=2198221520953623588426921545282656568094057811213750627560309877710343039810458874169469331348847721172246027980925828023416257252786307
  ( 136 digits)
Divisors found:

Fri May 11 05:09:46 2012  prp67 factor: 2667403735933742150683437425903433998668372659718959747770928948289
Fri May 11 05:09:46 2012  prp69 factor: 824105286852693765719532569848518943138801048014139675430266182656963
Fri May 11 05:09:46 2012  elapsed time 06:20:22 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.026).
Factorization parameters were as follows:
name: KA_65551_190
n: 2198221520953623588426921545282656568094057811213750627560309877710343039810458874169469331348847721172246027980925828023416257252786307
skew: 1157912.76
# norm 6.45e+18
c5: 8040
c4: -48770398078
c3: -38710114767116401
c2: 58900741271553977726054
c1: 17746181359077558198285711484
c0: -9646156622508393278809881341401228
# alpha -6.10
Y1: 1244167918520197
Y0: -193805663375631811608678477
# Murphy_E 3.34e-11
# M 269417196871246697812700973327065201784086003906874983456708397825325195455399234692200592439049031661849214585644577229891480714454234
type: gnfs
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 13600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2224551 hash collisions in 23268115 relations (21854304 unique)
Msieve: matrix is 1624866 x 1625096 (473.8 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,135,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,15000000,15000000,28,28,55,55,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 4012828k/4980736k available (3972k kernel code, 787908k absent, 180000k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.52 BogoMIPS (lpj=2400261)
Calibrating delay using timer specific routine.. 4799.90 BogoMIPS (lpj=2399952)
Calibrating delay using timer specific routine.. 4799.86 BogoMIPS (lpj=2399932)
Calibrating delay using timer specific routine.. 4799.90 BogoMIPS (lpj=2399953)
Total of 4 processors activated (19200.19 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovMay 11, 2011 13:55:53 UTC 2011 年 5 月 11 日 (水) 22 時 55 分 53 秒 (日本時間)
4511e6600 / 4409Rich DickersonAugust 25, 2011 15:14:48 UTC 2011 年 8 月 26 日 (金) 0 時 14 分 48 秒 (日本時間)

59×10191-419

c180

name 名前matsui
date 日付October 14, 2010 11:11:19 UTC 2010 年 10 月 14 日 (木) 20 時 11 分 19 秒 (日本時間)
composite number 合成数
490614835390455492743872487327632710556427787364409335914610689266772063227039838377940940967523371922889061389826546183634339567090752647083218895555835651937372855550625711760743<180>
prime factors 素因数
75328424888440303321775192369779580408800297<44>
6513010674483702374652260325283558841525960118874031179909856559579499851628822714217294560645920542453912726897105431204197976662978319<136>
factorization results 素因数分解の結果
N=490614835390455492743872487327632710556427787364409335914610689266772063227039838377940940967523371922889061389826546183634339567090752647083218895555835651937372855550625711760743
  ( 180 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=75328424888440303321775192369779580408800297 (pp44)
 r2=6513010674483702374652260325283558841525960118874031179909856559579499851628822714217294560645920542453912726897105431204197976662978319 (pp136)
Version: Msieve v. 1.48
Total time:
Scaled time: 87.14 units (timescale=1.345).
Factorization parameters were as follows:
n: 490614835390455492743872487327632710556427787364409335914610689266772063227039838377940940967523371922889061389826546183634339567090752647083218895555835651937372855550625711760743
m: 100000000000000000000000000000000000000
deg: 5
c5: 590
c0: -41
skew: 0.59
type: snfs
lss: 1
rlim: 11400000
alim: 11400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 800000
Factor base limits: 11400000/11400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5700000, 22500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2653652 x 2653877
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,192.000,5,0,0,0,0,0,0,0,0,11400000,11400000,28,28,55,55,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)

59×10196-419

c180

name 名前Serge Batalov
date 日付May 26, 2014 19:57:46 UTC 2014 年 5 月 27 日 (火) 4 時 57 分 46 秒 (日本時間)
composite number 合成数
263308977592125457784983154309519241019180590023863845400540390115105712432310718332643618073583114003940004224185834246100851176168978739268837424243865331173256078463070959659087<180>
prime factors 素因数
517010015947003718849981773066427559233<39>
509291830855199584451363586841684820725260314656311244190065609737858073791738575767277250815077999142297961864880494530307922550690013553039<141>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3534919901
Step 1 took 15692ms
Step 2 took 6369ms
********** Factor found in step 2: 517010015947003718849981773066427559233
Found probable prime factor of 39 digits: 517010015947003718849981773066427559233
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovMay 11, 2011 13:56:03 UTC 2011 年 5 月 11 日 (水) 22 時 56 分 3 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:56:54 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 54 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:32 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 32 秒 (日本時間)
4511e6400 / 4055Rich DickersonAugust 27, 2011 14:31:00 UTC 2011 年 8 月 27 日 (土) 23 時 31 分 0 秒 (日本時間)

59×10197-419

c155

composite cofactor 合成数の残り
25779984118479977086287825836759822617880510681161753450232572845166837457823047018112977568169825157998218349837280342814596278525139334480152248103110579<155>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovMay 11, 2011 13:56:10 UTC 2011 年 5 月 11 日 (水) 22 時 56 分 10 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:56:54 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 54 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:33 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 33 秒 (日本時間)
4511e6300 / 4055Rich DickersonMarch 15, 2015 08:54:51 UTC 2015 年 3 月 15 日 (日) 17 時 54 分 51 秒 (日本時間)

59×10198-419

c195

name 名前Robert Backstrom
date 日付April 2, 2010 07:59:11 UTC 2010 年 4 月 2 日 (金) 16 時 59 分 11 秒 (日本時間)
composite number 合成数
404688903978983613528955834036394564822245543277705756871137450185539573773415368575563649333635135227826134672236283446852000466421109670692978304559266347031023862927066828542228258260112078249<195>
prime factors 素因数
7533509671364496374846825143949231842280674906272820007500304681518659235469431364011<85>
53718508588001175725370799993095003996566757756572377830428815071137933335280908607666470164518790392605745659<110>
factorization results 素因数分解の結果
Number: n
N=404688903978983613528955834036394564822245543277705756871137450185539573773415368575563649333635135227826134672236283446852000466421109670692978304559266347031023862927066828542228258260112078249
  ( 195 digits)
SNFS difficulty: 199 digits.
Divisors found:

Fri Apr  2 18:35:13 2010  prp85 factor: 7533509671364496374846825143949231842280674906272820007500304681518659235469431364011
Fri Apr  2 18:35:13 2010  prp110 factor: 53718508588001175725370799993095003996566757756572377830428815071137933335280908607666470164518790392605745659
Fri Apr  2 18:35:13 2010  elapsed time 07:20:40 (Msieve 1.42 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.069).
Factorization parameters were as follows:
name: KA_6_5_197_1
n: 404688903978983613528955834036394564822245543277705756871137450185539573773415368575563649333635135227826134672236283446852000466421109670692978304559266347031023862927066828542228258260112078249
m: 1000000000000000000000000000000000000000
deg: 5
c5: 59000
c0: -41
skew: 0.23
type: snfs
lss: 1
rlim: 14900000
alim: 14900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 14900000/14900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 19750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4563656 hash collisions in 30717763 relations
Msieve: matrix is 2342279 x 2342504 (664.8 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,199,5,0,0,0,0,0,0,0,0,14900000,14900000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6060216k/7077888k available (3972k kernel code, 787972k absent, 229700k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.79 BogoMIPS (lpj=2798398)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44762.55 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiSeptember 1, 2009 12:04:14 UTC 2009 年 9 月 1 日 (火) 21 時 4 分 14 秒 (日本時間)
4511e60--
5043e61140 / 7465yoyo@homeFebruary 6, 2010 09:35:19 UTC 2010 年 2 月 6 日 (土) 18 時 35 分 19 秒 (日本時間)

59×10199-419

c196

name 名前Robert Backstrom
date 日付April 5, 2010 03:36:15 UTC 2010 年 4 月 5 日 (月) 12 時 36 分 15 秒 (日本時間)
composite number 合成数
1921154516178400362088783388200203837750360623496045352271358191119056224703442122778054554275871276135027856740484586805250287359128902955647380229040692657607934693771226315258199910780281791037<196>
prime factors 素因数
112632901405168022458470564036043123349711928562364711579<57>
17056779077967093412233440074162676838475749887116582462470531609593994545040097723800902856117502076786198309676545757208434145455021469703<140>
factorization results 素因数分解の結果
Number: n
N=1921154516178400362088783388200203837750360623496045352271358191119056224703442122778054554275871276135027856740484586805250287359128902955647380229040692657607934693771226315258199910780281791037
  ( 196 digits)
SNFS difficulty: 200 digits.
Divisors found:

Mon Apr  5 13:04:49 2010  prp57 factor: 112632901405168022458470564036043123349711928562364711579
Mon Apr  5 13:04:49 2010  prp140 factor: 17056779077967093412233440074162676838475749887116582462470531609593994545040097723800902856117502076786198309676545757208434145455021469703
Mon Apr  5 13:04:49 2010  elapsed time 15:40:05 (Msieve 1.42 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.073).
Factorization parameters were as follows:
name: KA_6_5_198_1
n: 1921154516178400362088783388200203837750360623496045352271358191119056224703442122778054554275871276135027856740484586805250287359128902955647380229040692657607934693771226315258199910780281791037
m: 1000000000000000000000000000000000000000
deg: 5
c5: 590000
c0: -41
skew: 0.15
type: snfs
lss: 1
rlim: 15500000
alim: 15500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 15500000/15500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 22750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5902192 hash collisions in 42714690 relations
Msieve: matrix is 3314805 x 3315030 (948.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,15500000,15500000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6060216k/7077888k available (3972k kernel code, 787972k absent, 229700k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.79 BogoMIPS (lpj=2798398)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44762.55 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)
786Wataru SakaiAugust 31, 2009 13:43:04 UTC 2009 年 8 月 31 日 (月) 22 時 43 分 4 秒 (日本時間)
403e60--
4511e60--
5043e62280 / 75481000Dmitry DomanovSeptember 9, 2009 13:01:56 UTC 2009 年 9 月 9 日 (水) 22 時 1 分 56 秒 (日本時間)
1280yoyo@homeFebruary 6, 2010 10:55:13 UTC 2010 年 2 月 6 日 (土) 19 時 55 分 13 秒 (日本時間)

59×10200-419

c154

composite cofactor 合成数の残り
3807430774346758166558892302461000356463885817722137643048714823140884677128020735128570968029745294322726357294900980145928545338349744272579515237113231<154>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovMay 11, 2011 13:56:20 UTC 2011 年 5 月 11 日 (水) 22 時 56 分 20 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:56:55 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 55 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:33 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 33 秒 (日本時間)
4511e6300 / 4055Rich DickersonMarch 15, 2015 02:53:29 UTC 2015 年 3 月 15 日 (日) 11 時 53 分 29 秒 (日本時間)

59×10201-419

c186

name 名前Serge Batalov
date 日付January 9, 2014 17:19:57 UTC 2014 年 1 月 10 日 (金) 2 時 19 分 57 秒 (日本時間)
composite number 合成数
368121799328822467582249138792419492239894928764240056292967214614593529906048890242607716921869334461057181429068247215092687334022050715930868533061181870034901423850650375415994434343<186>
prime factors 素因数
224106556245724399530953919801189155744461<42>
composite cofactor 合成数の残り
1642619499829316806460826615746078554176283428158679649280410447059694002483438798776000281598656366830454278873658297036092991985909733091495363<145>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2865118768
Step 1 took 16140ms
Step 2 took 6270ms
********** Factor found in step 2: 224106556245724399530953919801189155744461
Found probable prime factor of 42 digits: 224106556245724399530953919801189155744461
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovMay 11, 2011 13:56:37 UTC 2011 年 5 月 11 日 (水) 22 時 56 分 37 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:56:56 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 56 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:33 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 33 秒 (日本時間)
4511e6300 / 4055Rich DickersonMarch 15, 2015 08:54:32 UTC 2015 年 3 月 15 日 (日) 17 時 54 分 32 秒 (日本時間)

59×10203-419

c189

composite cofactor 合成数の残り
361234738300818812780021462907776842483890428837285384436291456637829303179664839764540580939057073151704329336442351387875307722792262552944128869286204361818894444223790030666639730583343<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovMay 11, 2011 13:56:49 UTC 2011 年 5 月 11 日 (水) 22 時 56 分 49 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:56:56 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 56 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:34 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 34 秒 (日本時間)
4511e6300 / 4055Rich DickersonMarch 15, 2015 08:54:15 UTC 2015 年 3 月 15 日 (日) 17 時 54 分 15 秒 (日本時間)

59×10204-419

c164

name 名前Serge Batalov
date 日付May 18, 2014 23:18:50 UTC 2014 年 5 月 19 日 (月) 8 時 18 分 50 秒 (日本時間)
composite number 合成数
91082985733454897619034195692818298281583654899420162783374315506414505034843531465477987191646510418527041807625161361762629951400366976224011338073138700064165329<164>
prime factors 素因数
21483862966927932372191378181116136125989<41>
composite cofactor 合成数の残り
4239600013911242870705570677070669865684545888007225586254946244390704586149313088798131809414596447289455715277094596320061<124>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3871729825
Step 1 took 12349ms
Step 2 took 10288ms
********** Factor found in step 2: 21483862966927932372191378181116136125989
Found probable prime factor of 41 digits: 21483862966927932372191378181116136125989
Composite cofactor

c124

name 名前Dmitry Domanov
date 日付May 21, 2014 12:01:39 UTC 2014 年 5 月 21 日 (水) 21 時 1 分 39 秒 (日本時間)
composite number 合成数
4239600013911242870705570677070669865684545888007225586254946244390704586149313088798131809414596447289455715277094596320061<124>
prime factors 素因数
809184766447794763990126499251145103918810358627<48>
5239347290882006776586737917039141589016875681940582669861357813609833093343<76>
factorization results 素因数分解の結果
N=4239600013911242870705570677070669865684545888007225586254946244390704586149313088798131809414596447289455715277094596320061
  ( 124 digits)
Divisors found:
 r1=809184766447794763990126499251145103918810358627 (pp48)
 r2=5239347290882006776586737917039141589016875681940582669861357813609833093343 (pp76)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 58.90 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 4239600013911242870705570677070669865684545888007225586254946244390704586149313088798131809414596447289455715277094596320061
skew: 176358.48
c0: -169741664756439511027696235700
c1: 23634688176591547455835090
c2: 539943829844929620556
c3: 756328901158465
c4: -15078949434
c5: 21840
Y0: -720467609542289630448473
Y1: 127329437743
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
type: gnfs
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2700000, 5500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 874344 x 874586
Total sieving time: 57.29 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.75 hours.
Time per square root: 0.73 hours.
Prototype def-par.txt line would be:
gnfs,123,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,54,54,2.5,2.5,100000
total time: 58.90 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 27, 2009 04:00:00 UTC 2009 年 8 月 27 日 (木) 13 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Dmitry DomanovMay 11, 2011 13:56:57 UTC 2011 年 5 月 11 日 (水) 22 時 56 分 57 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:56:57 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 57 秒 (日本時間)

59×10206-419

c130

name 名前Serge Batalov
date 日付November 10, 2013 19:55:49 UTC 2013 年 11 月 11 日 (月) 4 時 55 分 49 秒 (日本時間)
composite number 合成数
2351371944278227114565285560974195374950434249363512523077338767544324338865729482191244546565280703438516824846856452999005431697<130>
prime factors 素因数
260643513174944896813780371278567<33>
9021409800826224698118286757118685693809334078574221054414205311552731115736999432102180011336391<97>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=928187260
Step 1 took 5664ms
Step 2 took 4552ms
********** Factor found in step 2: 260643513174944896813780371278567
Found probable prime factor of 33 digits: 260643513174944896813780371278567
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)

59×10207-419

c202

composite cofactor 合成数の残り
4567920762214097517056345147757139292395008083284189473946631665554494094646234279674897208233932667764051562999253415933728295892254672266782676369549744695811704422080214082187423956700446827815168919<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61890290CypJanuary 1, 2014 17:35:29 UTC 2014 年 1 月 2 日 (木) 2 時 35 分 29 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:56:58 UTC 2014 年 1 月 9 日 (木) 13 時 56 分 58 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:34 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 34 秒 (日本時間)
4511e6300 / 4057Rich DickersonMarch 15, 2015 08:53:58 UTC 2015 年 3 月 15 日 (日) 17 時 53 分 58 秒 (日本時間)

59×10209-419

c190

composite cofactor 合成数の残り
1540756666128247919550178989869306619921828046775464428798569073013951516373714279081095893060715038261320622895151828258077763294643398511253202513286477240917666600315718188045439382830253<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:02 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 2 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:57:00 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 0 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:34 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 34 秒 (日本時間)
4511e610 / 3908CypJanuary 10, 2014 18:05:34 UTC 2014 年 1 月 11 日 (土) 3 時 5 分 34 秒 (日本時間)
5043e644 / 7478CypJanuary 27, 2014 22:38:54 UTC 2014 年 1 月 28 日 (火) 7 時 38 分 54 秒 (日本時間)
5511e73 / 17740KTakahashiSeptember 14, 2014 10:29:10 UTC 2014 年 9 月 14 日 (日) 19 時 29 分 10 秒 (日本時間)

59×10210-419

c203

composite cofactor 合成数の残り
84394165490330008522194351692753353798746815588210576219316782856477046436964086052862722972800328335071717253523596231758170733061496293305977379408422389811583889085720399775276360460016918798741859219<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61890290CypJanuary 4, 2014 05:18:32 UTC 2014 年 1 月 4 日 (土) 14 時 18 分 32 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:00 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 0 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:35 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 35 秒 (日本時間)
4511e6124 / 4057CypJuly 13, 2015 20:30:49 UTC 2015 年 7 月 14 日 (火) 5 時 30 分 49 秒 (日本時間)

59×10211-419

c152

composite cofactor 合成数の残り
29566637682668735632550455868913058016165765396564394333831044731009336281085939589891043229666261543922806927394769678465182431604990912232280209803771<152>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 5, 2014 14:59:41 UTC 2014 年 1 月 5 日 (日) 23 時 59 分 41 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:01 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 1 秒 (日本時間)
4511e6300 / 3682Serge BatalovMay 27, 2014 00:34:52 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 52 秒 (日本時間)
5043e6189 / 7463CypFebruary 14, 2014 01:28:06 UTC 2014 年 2 月 14 日 (金) 10 時 28 分 6 秒 (日本時間)

59×10212-419

c205

composite cofactor 合成数の残り
5247814002841901195099003173193914178411432284176927039173173068793840143674616191405551652293762441783164112723254693604151346774392120332204308844701921411759878521324444614438039736502776038905713336109<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:02 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 2 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:57:02 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 2 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:35 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 35 秒 (日本時間)
4511e6145 / 4084CypJuly 4, 2015 09:44:18 UTC 2015 年 7 月 4 日 (土) 18 時 44 分 18 秒 (日本時間)

59×10213-419

c180

name 名前Serge Batalov
date 日付November 10, 2013 20:04:39 UTC 2013 年 11 月 11 日 (月) 5 時 4 分 39 秒 (日本時間)
composite number 合成数
274105099246548642980176564535440451564368925871487898944856631282424121826830794093259071217060534169172206010148387891438326574862735000654567329934447790911847585835438869401511<180>
prime factors 素因数
300661775869709347086115857066481<33>
911672587756320110617047144583206473725980316260606313001026835880728159322918587231526402987060146815863679591801474005329651500804124113808292631<147>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=1481712624
Step 1 took 10493ms
Step 2 took 6385ms
********** Factor found in step 2: 300661775869709347086115857066481
Found probable prime factor of 33 digits: 300661775869709347086115857066481
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)

59×10214-419

c163

composite cofactor 合成数の残り
1670013877838413548583180422402628396708285777689880477095437910270757043414169325729499935630845114118307118682252108924448574714837410963425540295926658495082857<163>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 1, 2014 14:16:01 UTC 2014 年 1 月 1 日 (水) 23 時 16 分 1 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:02 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 2 秒 (日本時間)
4511e6300 / 3682Serge BatalovMay 27, 2014 00:34:52 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 52 秒 (日本時間)
5043e6189 / 7463CypFebruary 12, 2014 15:26:34 UTC 2014 年 2 月 13 日 (木) 0 時 26 分 34 秒 (日本時間)

59×10216-419

c141

name 名前Serge Batalov
date 日付November 10, 2013 20:32:37 UTC 2013 年 11 月 11 日 (月) 5 時 32 分 37 秒 (日本時間)
composite number 合成数
400585774081418899988194078633165762639289837762472297450066172925535182423332166968618210362117909898314007264331728317487659363936470241223<141>
prime factors 素因数
702605597152835617096928502092389303559<39>
570143158131261966849391560775195456133917699645462780357486254506493293479327946951942602484856844097<102>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=515536532
Step 1 took 6877ms
Step 2 took 4964ms
********** Factor found in step 2: 702605597152835617096928502092389303559
Found probable prime factor of 39 digits: 702605597152835617096928502092389303559
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)

59×10217-419

c211

name 名前Serge Batalov
date 日付May 18, 2014 23:34:50 UTC 2014 年 5 月 19 日 (月) 8 時 34 分 50 秒 (日本時間)
composite number 合成数
8763569254410529877035092019779464928247831124297460672628894168122421774635548034333644261799778376760309563132062220688151997484053534594791198827606734443517139989270123461015121063436254621613068008698867377<211>
prime factors 素因数
205384206331725059547184335913064909<36>
composite cofactor 合成数の残り
42669148767243105155776709833552347027199161840196952740270263427775395146033273030221098478499179574540800683952559186586947881930244804172305716668983137169035188033600500853<176>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1117543556
Step 1 took 59651ms
Step 2 took 28761ms
********** Factor found in step 2: 205384206331725059547184335913064909
Found probable prime factor of 36 digits: 205384206331725059547184335913064909
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61890290CypJanuary 4, 2014 00:29:18 UTC 2014 年 1 月 4 日 (土) 9 時 29 分 18 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:04 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 4 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:36 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 36 秒 (日本時間)
4511e6124 / 4057CypJuly 13, 2015 19:39:41 UTC 2015 年 7 月 14 日 (火) 4 時 39 分 41 秒 (日本時間)

59×10218-419

c200

composite cofactor 合成数の残り
10620657259404885389951243804128505869156802325652052010112295829663289415751269624103446946190510661171615964556086256373027909907909087058536616841505504746868034580682175923124101474904284307746229<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:03 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 3 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:57:05 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 5 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:36 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 36 秒 (日本時間)
4511e6145 / 4084CypJuly 2, 2015 09:04:32 UTC 2015 年 7 月 2 日 (木) 18 時 4 分 32 秒 (日本時間)

59×10219-419

c199

name 名前Serge Batalov
date 日付January 9, 2014 10:53:43 UTC 2014 年 1 月 9 日 (木) 19 時 53 分 43 秒 (日本時間)
composite number 合成数
8671512418954103111677690359574282658518028048184506487436682607522544222083820702331177996674220783570004766114570307040499527686659766132967174210730888474288217248942064370529202887850535677214817<199>
prime factors 素因数
126400117756615471222872317580925483243<39>
68603673579253904479300298972079702682915126284879186020817916988493931252168631378517993868062789353450313238408878050346591259899807805682691587538452607752419<161>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=698255708
Step 1 took 18089ms
Step 2 took 7110ms
********** Factor found in step 2: 126400117756615471222872317580925483243
Found probable prime factor of 39 digits: 126400117756615471222872317580925483243
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e6590 / 2318290CypJanuary 6, 2014 06:38:04 UTC 2014 年 1 月 6 日 (月) 15 時 38 分 4 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:06 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 6 秒 (日本時間)

59×10220-419

c170

composite cofactor 合成数の残り
34603747381727179903737426407701143828556650686943821597587816921025744182876710548144497533926144621789998987144799371221410156086416374313765400622792456518468578457133<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61890290CypJanuary 4, 2014 14:13:42 UTC 2014 年 1 月 4 日 (土) 23 時 13 分 42 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:06 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 6 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:36 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 36 秒 (日本時間)
4511e6124 / 4057CypJuly 4, 2015 12:11:31 UTC 2015 年 7 月 4 日 (土) 21 時 11 分 31 秒 (日本時間)

59×10222-419

c210

composite cofactor 合成数の残り
237133850115823457969770892107514488221737344353093091907710317150806976830966547897748677343374823072600086217775979076390527387842653924755982494800514583461201811531220234062965831679991313465010656724481611<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61890290CypJanuary 2, 2014 08:14:39 UTC 2014 年 1 月 2 日 (木) 17 時 14 分 39 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:07 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 7 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:37 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 37 秒 (日本時間)
4511e6124 / 4057CypJuly 13, 2015 19:59:35 UTC 2015 年 7 月 14 日 (火) 4 時 59 分 35 秒 (日本時間)

59×10223-419

c170

composite cofactor 合成数の残り
63906579682132651938854740143868445761544977733819224254086617910579697794835202912447701263058763968225619466228154343795760643312296080359501151079254272203712427456957<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:04 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 4 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 04:57:07 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 7 秒 (日本時間)
4511e6822 / 437210CypJanuary 10, 2014 18:03:56 UTC 2014 年 1 月 11 日 (土) 3 時 3 分 56 秒 (日本時間)
512CypMarch 11, 2014 17:33:00 UTC 2014 年 3 月 12 日 (水) 2 時 33 分 0 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:53 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 53 秒 (日本時間)

59×10225-419

c217

name 名前Serge Batalov
date 日付January 6, 2014 22:08:11 UTC 2014 年 1 月 7 日 (火) 7 時 8 分 11 秒 (日本時間)
composite number 合成数
7747895027814406706613234960616148846496480850989519846166337397083395501490964669494536204321403868761388144195690382229154923131286409670792934362494004036999732323227494228411443528913640561226823644945100079003933<217>
prime factors 素因数
643930308632720569982308336061<30>
12032194981264011943245261183538273277523764990934943851604247555752562871490920635879280057623082949051335325665989112561497797458018025066902241500030890021891383033571129318094404950753<188>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3425004148
Step 1 took 6928ms
Step 2 took 4552ms
********** Factor found in step 2: 643930308632720569982308336061
Found probable prime factor of 30 digits: 643930308632720569982308336061
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:04 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 4 秒 (日本時間)

59×10226-419

c200

name 名前Serge Batalov
date 日付January 9, 2014 11:00:26 UTC 2014 年 1 月 9 日 (木) 20 時 0 分 26 秒 (日本時間)
composite number 合成数
14713779036121331784440970773863698063953020794450186031372109211863034508728855604587434439406498192691247608914157332920138695168875098954443990401516396388232574775791295421615010857231946116104501<200>
prime factors 素因数
200561235040475034578590769336901289<36>
composite cofactor 合成数の残り
73363025677180142929250819567574506523557979785195962159446155960637952332390738727608353370501397338065822730662852791882310657056929918270120352310617249103176109<164>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1422832111
Step 1 took 18089ms
Step 2 took 7089ms
********** Factor found in step 2: 200561235040475034578590769336901289
Found probable prime factor of 36 digits: 200561235040475034578590769336901289
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:05 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 5 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:57:08 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 8 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:37 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 37 秒 (日本時間)
4511e6117 / 4041CypMarch 11, 2014 17:53:22 UTC 2014 年 3 月 12 日 (水) 2 時 53 分 22 秒 (日本時間)
5043e60 / 7447--
5511e76 / 17749KTakahashiSeptember 14, 2014 22:45:54 UTC 2014 年 9 月 15 日 (月) 7 時 45 分 54 秒 (日本時間)

59×10229-419

c201

name 名前Serge Batalov
date 日付November 10, 2013 20:05:28 UTC 2013 年 11 月 11 日 (月) 5 時 5 分 28 秒 (日本時間)
composite number 合成数
885009802308109474084162907407403184752352537710992296343379129882184220708757969424953062902043484273928975150935006362696326406791563105179986661525696209440248727507270639818246448644315121945697017<201>
prime factors 素因数
1315761524784024311217276104334949<34>
672621737022884460030029040952875404264927460658623629019637639635137264196425653137390463403084197286254602008637743047098314749287493597351086566179406176018868291333<168>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3304585114
Step 1 took 12261ms
Step 2 took 7249ms
********** Factor found in step 2: 1315761524784024311217276104334949
Found probable prime factor of 34 digits: 1315761524784024311217276104334949
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)

59×10231-419

c188

name 名前Serge Batalov
date 日付November 10, 2013 20:04:06 UTC 2013 年 11 月 11 日 (月) 5 時 4 分 6 秒 (日本時間)
composite number 合成数
82134168076722611488325878452740639144465251006124022926789527869400383480730651591410245532172938985220160299114957326167495380559806554190989253659389645337160998216752460639753617547403<188>
prime factors 素因数
35419977334926156784596248933286523<35>
composite cofactor 合成数の残り
2318865630547243374812135056517897858995920555385352777353822908848576472179101252619144724115003476512160895891252279195742094009523818122496780771296561<154>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3142054772
Step 1 took 10621ms
Step 2 took 6724ms
********** Factor found in step 2: 35419977334926156784596248933286523
Found probable prime factor of 35 digits: 35419977334926156784596248933286523
Composite cofactor 

c154

name 名前Serge Batalov
date 日付November 20, 2013 08:00:58 UTC 2013 年 11 月 20 日 (水) 17 時 0 分 58 秒 (日本時間)
composite number 合成数
2318865630547243374812135056517897858995920555385352777353822908848576472179101252619144724115003476512160895891252279195742094009523818122496780771296561<154>
prime factors 素因数
320214761809713296836343043704328966064499<42>
1162527723790665712723119052776616916451174468439229<52>
6229180509711233235206372375525533435452469102436615957917991<61>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=452913708
Step 1 took 34954ms
Step 2 took 14092ms
********** Factor found in step 2: 320214761809713296836343043704328966064499
Found probable prime factor of 42 digits: 320214761809713296836343043704328966064499
Composite cofactor 

Divisors found:
 r1=1162527723790665712723119052776616916451174468439229 (pp52)
 r2=6229180509711233235206372375525533435452469102436615957917991 (pp61)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 10.82 hours.
Scaled time: 25.97 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  7241595039035778807838181762879259924571971875817983918504949282915610132408118928277818211263848367634149268939
skew:  40450.72
Y0:  -3602909242475338473759
Y1:  161509031657
c0:  -92894356475058250841435200
c1:  50722509090536366047696
c2:  276482469822960552
c3:  32876763904466
c4:  -4570187
c5:  11928
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [1750000, 2650001)
Pruned matrix : 389081 x 389308
Total sieving time: 10.60 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,52,52,2.6,2.6,100000
total time: 10.82 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovNovember 19, 2013 19:20:45 UTC 2013 年 11 月 20 日 (水) 4 時 20 分 45 秒 (日本時間)
4511e6600 / 4409Serge BatalovNovember 20, 2013 01:02:53 UTC 2013 年 11 月 20 日 (水) 10 時 2 分 53 秒 (日本時間)

59×10234-419

c227

composite cofactor 合成数の残り
13275900966695822142797952108030169848571493580911857206529746130078412198680141293019826064217378551157333045954630427951932633016551457486765834303160963015701892081158256690887632168251762776436764395139242355533090840991633<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:06 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 6 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:57:09 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 9 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:38 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 38 秒 (日本時間)
4511e6145 / 4084CypMay 31, 2015 07:34:21 UTC 2015 年 5 月 31 日 (日) 16 時 34 分 21 秒 (日本時間)

59×10235-419

c219

composite cofactor 合成数の残り
359595888659573345692961865081913313910688382508607609778899646004252359782034055516627245419167356075727785552011414265068861404117711719767340510291670004612295333729294002615454911434788430607179579398485060404889219<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61890290CypJanuary 4, 2014 06:00:15 UTC 2014 年 1 月 4 日 (土) 15 時 0 分 15 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:09 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 9 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:38 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 38 秒 (日本時間)
4511e60 / 3891--
5043e639 / 7472CypJanuary 30, 2014 19:59:33 UTC 2014 年 1 月 31 日 (金) 4 時 59 分 33 秒 (日本時間)
5511e74 / 17741KTakahashiSeptember 14, 2014 13:33:40 UTC 2014 年 9 月 14 日 (日) 22 時 33 分 40 秒 (日本時間)

59×10236-419

c218

composite cofactor 合成数の残り
37348070991133722464106867579929004550866877388830249287635722037744370098585180528780066595891457597000286144847543240851671921365165121368898664139995255148855739040267506518476634919052303812670060727975112296136267<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61890290CypJanuary 1, 2014 05:00:53 UTC 2014 年 1 月 1 日 (水) 14 時 0 分 53 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:10 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 10 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:38 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 38 秒 (日本時間)
4511e6124 / 4057CypJune 16, 2015 19:23:53 UTC 2015 年 6 月 17 日 (水) 4 時 23 分 53 秒 (日本時間)

59×10239-419

c196

name 名前Cyp
date 日付January 6, 2014 10:03:27 UTC 2014 年 1 月 6 日 (月) 19 時 3 分 27 秒 (日本時間)
composite number 合成数
5252856409190065873107916889002392951990020806940324980375194126378852175564797569032678403435137093204151967648672642084429832654629724239216612580412085038001076259215108894972415276165378452217<196>
prime factors 素因数
6651230450685768216759578577824399<34>
composite cofactor 合成数の残り
789757090531794092544289364568037399412811812257907542648754899629360519295854072649067301324972247001481560576131325421803216171599159640565063678788449283732983<162>
factorization results 素因数分解の結果
Run 133 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=706691628
Step 1 took 18786ms
Step 2 took 62ms
********** Factor found in step 2: 6651230450685768216759578577824399
Found probable prime factor of 34 digits: 6651230450685768216759578577824399
Composite cofactor 789757090531794092544289364568037399412811812257907542648754899629360519295854072649067301324972247001481560576131325421803216171599159640565063678788449283732983 has 162 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c162

name 名前Serge Batalov
date 日付January 9, 2014 08:49:52 UTC 2014 年 1 月 9 日 (木) 17 時 49 分 52 秒 (日本時間)
composite number 合成数
789757090531794092544289364568037399412811812257907542648754899629360519295854072649067301324972247001481560576131325421803216171599159640565063678788449283732983<162>
prime factors 素因数
8013630166929862643582193481346961803<37>
98551726755611112809336355794881710752104771449263489713431722796077273005917805038874626787429882536753590959925765400421061<125>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4097844048
Step 1 took 10909ms
Step 2 took 4556ms
********** Factor found in step 2: 8013630166929862643582193481346961803
Found probable prime factor of 37 digits: 8013630166929862643582193481346961803
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e6590 / 2318290CypJanuary 6, 2014 10:03:25 UTC 2014 年 1 月 6 日 (月) 19 時 3 分 25 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:11 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 11 秒 (日本時間)

59×10240-419

c216

composite cofactor 合成数の残り
103782099487165908703372176614175821261385531986263952666837846357601587738830211045286164804444856726175044598873294403340766381136344156925223807511764730738035018415452226565949939726024929712205130967472987443403<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:07 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 7 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:57:12 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 12 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:39 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 39 秒 (日本時間)
4511e6145 / 4084CypJuly 13, 2015 18:50:42 UTC 2015 年 7 月 14 日 (火) 3 時 50 分 42 秒 (日本時間)

59×10241-419

c232

composite cofactor 合成数の残り
1338702473870894643790834377759398836341214931035770943345431283499795405725400922314584254328855353924688569724681208064999549730724289964386818082883589812031778508419755821251759531251527924310542422976827526819480370939816820763<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:07 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 7 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:57:12 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 12 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:39 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 39 秒 (日本時間)
4511e6145 / 4084CypJune 24, 2015 06:14:10 UTC 2015 年 6 月 24 日 (水) 15 時 14 分 10 秒 (日本時間)

59×10242-419

c241

composite cofactor 合成数の残り
1006997781191329578426352619901006997781191329578426352619901006997781191329578426352619901006997781191329578426352619901006997781191329578426352619901006997781191329578426352619901006997781191329578426352619901006997781191329578426352619901<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovNovember 19, 2013 19:20:50 UTC 2013 年 11 月 20 日 (水) 4 時 20 分 50 秒 (日本時間)
4511e61800600Serge BatalovNovember 20, 2013 01:02:59 UTC 2013 年 11 月 20 日 (水) 10 時 2 分 59 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:30:05 UTC 2014 年 1 月 6 日 (月) 11 時 30 分 5 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:22 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 22 秒 (日本時間)
5043e6775 / 7137Serge BatalovNovember 25, 2013 02:17:43 UTC 2013 年 11 月 25 日 (月) 11 時 17 分 43 秒 (日本時間)

59×10243-419

c223

composite cofactor 合成数の残り
7559848736364614378538693135683787562203357921655489292257728565486339719668438371567394786930863078367913190724147290862766391834711337531087752077676014190810902315529420587654369818763895245427328937339596317125575843821<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61890290CypJanuary 6, 2014 18:02:00 UTC 2014 年 1 月 7 日 (火) 3 時 2 分 0 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:13 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 13 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:40 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 40 秒 (日本時間)
4511e6124 / 4057CypMay 25, 2015 14:55:43 UTC 2015 年 5 月 25 日 (月) 23 時 55 分 43 秒 (日本時間)

59×10244-419

c181

composite cofactor 合成数の残り
2665029103525217363569186401274072521052318483952416807716354101230393732561923544779221090233859231607030049321875832248341481621275941837636675857555851079821206789599526586726621<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e6290CypJanuary 3, 2014 09:38:27 UTC 2014 年 1 月 3 日 (金) 18 時 38 分 27 秒 (日本時間)
4511e6898 / 4411598CypJanuary 7, 2014 20:45:56 UTC 2014 年 1 月 8 日 (水) 5 時 45 分 56 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:53 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 53 秒 (日本時間)

59×10245-419

c203

name 名前Serge Batalov
date 日付May 19, 2014 01:59:41 UTC 2014 年 5 月 19 日 (月) 10 時 59 分 41 秒 (日本時間)
composite number 合成数
34746713218489016262919948915626112109518074040042711537190034686094944927596012618657560444076690430119091368537111800778730937442621923005287123681362690856393553214606209028142264462090788588075330673<203>
prime factors 素因数
9761920342622793505795748060053628119919<40>
3559413721783495835101838421587547811018635561700807222605705690992222323343702642999099372698601956253991829760156133479709439692579521798269113419069977832551967<163>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3165177937
Step 1 took 59401ms
Step 2 took 28144ms
********** Factor found in step 2: 9761920342622793505795748060053628119919
Found probable prime factor of 40 digits: 9761920342622793505795748060053628119919
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e6590 / 2318290CypJanuary 5, 2014 11:19:44 UTC 2014 年 1 月 5 日 (日) 20 時 19 分 44 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:14 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 14 秒 (日本時間)

59×10246-419

c244

composite cofactor 合成数の残り
1480143498657835980030606357090890845688768470434760793758310127693735731667544717894684026993803467047991771405634580166077117984997867589874814982062667770502496174205363638644288903941195654900780211234038283033541556910263164496625774566619<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovNovember 19, 2013 19:20:52 UTC 2013 年 11 月 20 日 (水) 4 時 20 分 52 秒 (日本時間)
4511e61000600Serge BatalovNovember 20, 2013 01:03:00 UTC 2013 年 11 月 20 日 (水) 10 時 3 分 0 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:30:11 UTC 2014 年 1 月 6 日 (月) 11 時 30 分 11 秒 (日本時間)
5043e63775 / 7317775Serge BatalovNovember 25, 2013 02:18:08 UTC 2013 年 11 月 25 日 (月) 11 時 18 分 8 秒 (日本時間)
3000Serge BatalovJanuary 28, 2014 08:30:07 UTC 2014 年 1 月 28 日 (火) 17 時 30 分 7 秒 (日本時間)

59×10247-419

c231

name 名前Serge Batalov
date 日付January 6, 2014 22:09:35 UTC 2014 年 1 月 7 日 (火) 7 時 9 分 35 秒 (日本時間)
composite number 合成数
281562879473177809006052071236898222732976148909951331096905489644225015990927001419212271079176636330075466747239650231762173288684669885233279419047164032169220111915988546520692146757959277703781856411267136315585300381897338319<231>
prime factors 素因数
10385540955948396150942245026381<32>
27111046084885021499694167382006347724435377427505908612975269932958194488698391861312409379386330510284622401712500310728432860953057791828055157879297373064493286199226946179964267711602893769858699<200>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1055281912
Step 1 took 6053ms
Step 2 took 3890ms
********** Factor found in step 2: 10385540955948396150942245026381
Found probable prime factor of 32 digits: 10385540955948396150942245026381
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:09 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 9 秒 (日本時間)

59×10248-419

c221

composite cofactor 合成数の残り
88375687114620265568833490776689942708603491548631520956235928483351255250172596127500653074082597648640226314859799370273772639781118760890552006719512163640240555607600399656265581048909133166996484709118134488600742683<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61890290CypJanuary 4, 2014 16:38:23 UTC 2014 年 1 月 5 日 (日) 1 時 38 分 23 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:14 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 14 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:40 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 40 秒 (日本時間)
4511e60 / 3891--
5043e639 / 7472CypJanuary 31, 2014 07:19:02 UTC 2014 年 1 月 31 日 (金) 16 時 19 分 2 秒 (日本時間)
5511e74 / 17741KTakahashiSeptember 14, 2014 13:40:59 UTC 2014 年 9 月 14 日 (日) 22 時 40 分 59 秒 (日本時間)

59×10249-419

c165

composite cofactor 合成数の残り
703044372059445820708726605083879348244970733670089670472649186979737093190744041875514594838334399292696294533538882927943407738324581888094697491278227183697746269<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 10, 2013 04:00:00 UTC 2013 年 11 月 10 日 (日) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovNovember 19, 2013 19:20:47 UTC 2013 年 11 月 20 日 (水) 4 時 20 分 47 秒 (日本時間)
4511e61000600Serge BatalovNovember 20, 2013 01:02:55 UTC 2013 年 11 月 20 日 (水) 10 時 2 分 55 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:59 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 59 秒 (日本時間)
5043e61000 / 7317Erik BrangerMarch 4, 2014 07:55:02 UTC 2014 年 3 月 4 日 (火) 16 時 55 分 2 秒 (日本時間)