Table of contents 目次

23×10101+73

c98

name 名前Dmitry Domanov
date 日付December 17, 2009 17:41:28 UTC 2009 年 12 月 18 日 (金) 2 時 41 分 28 秒 (日本時間)
composite number 合成数
12097686186020334632519632440734487347398208490471757162619201657908993840699772247907889269352353<98>
prime factors 素因数
15503305797418981345720755638978753<35>
780329456446274801345339576045023254771125029723964628297791201<63>
factorization results 素因数分解の結果
N=12097686186020334632519632440734487347398208490471757162619201657908993840699772247907889269352353
  ( 98 digits)
SNFS difficulty: 102 digits.
Divisors found:
 r1=15503305797418981345720755638978753 (pp35)
 r2=780329456446274801345339576045023254771125029723964628297791201 (pp63)
Version: Msieve-1.40
Total time: 0.24 hours.
Scaled time: 0.46 units (timescale=1.899).
Factorization parameters were as follows:
n: 12097686186020334632519632440734487347398208490471757162619201657908993840699772247907889269352353
m: 10000000000000000000000000
deg: 4
c4: 230
c0: 7
skew: 0.42
type: snfs
lss: 1
rlim: 360000
alim: 360000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2Factor base limits: 360000/360000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [180000, 230001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 28464 x 28690
Total sieving time: 0.23 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,102.000,4,0,0,0,0,0,0,0,0,360000,360000,25,25,43,43,2.2,2.2,10000
total time: 0.24 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

23×10102+73

c103

name 名前Dmitry Domanov
date 日付December 17, 2009 17:32:34 UTC 2009 年 12 月 18 日 (金) 2 時 32 分 34 秒 (日本時間)
composite number 合成数
7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669<103>
prime factors 素因数
16366251904462813283148459651532808177<38>
468443643139581039544972884127926202489907608934281528490340905597<66>
factorization results 素因数分解の結果
N=7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
  ( 103 digits)
SNFS difficulty: 103 digits.
Divisors found:
 r1=16366251904462813283148459651532808177 (pp38)
 r2=468443643139581039544972884127926202489907608934281528490340905597 (pp66)
Version: Msieve-1.40
Total time: 0.29 hours.
Scaled time: 0.55 units (timescale=1.899).
Factorization parameters were as follows:
n: 7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
m: 10000000000000000000000000
deg: 4
c4: 2300
c0: 7
skew: 0.23
type: snfs
lss: 1
rlim: 370000
alim: 370000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2Factor base limits: 370000/370000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [185000, 245001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 29258 x 29485
Total sieving time: 0.28 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,103.000,4,0,0,0,0,0,0,0,0,370000,370000,25,25,43,43,2.2,2.2,10000
total time: 0.29 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 KamadaDecember 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

23×10104+73

c87

name 名前Erik Branger
date 日付December 17, 2009 17:09:56 UTC 2009 年 12 月 18 日 (金) 2 時 9 分 56 秒 (日本時間)
composite number 合成数
332919221003316962952714214283774363080007369160491821897306409696378607336009959868847<87>
prime factors 素因数
485355677072414738525607759311522393567<39>
685928354668540614395845427196619202593904737841<48>
factorization results 素因数分解の結果
12/17/09 17:20:06 v1.14 @ ERIK-DATOR, starting SIQS on c87: 332919221003316962952714214283774363080007369160491821897306409696378607336009959868847
12/17/09 17:20:06 v1.14 @ ERIK-DATOR, random seeds: 0, 4234451912
12/17/09 17:20:07 v1.14 @ ERIK-DATOR, ==== sieve params ====
12/17/09 17:20:07 v1.14 @ ERIK-DATOR, n = 88 digits, 292 bits
12/17/09 17:20:07 v1.14 @ ERIK-DATOR, factor base: 59299 primes (max prime = 1555291)
12/17/09 17:20:07 v1.14 @ ERIK-DATOR, single large prime cutoff: 171082010 (110 * pmax)
12/17/09 17:20:07 v1.14 @ ERIK-DATOR, double large prime range from 43 to 50 bits
12/17/09 17:20:07 v1.14 @ ERIK-DATOR, double large prime cutoff: 660340325177177
12/17/09 17:20:07 v1.14 @ ERIK-DATOR, allocating 12 large prime slices of factor base
12/17/09 17:20:07 v1.14 @ ERIK-DATOR, buckets hold 1024 elements
12/17/09 17:20:07 v1.14 @ ERIK-DATOR, sieve interval: 18 blocks of size 32768
12/17/09 17:20:07 v1.14 @ ERIK-DATOR, polynomial A has ~ 11 factors
12/17/09 17:20:07 v1.14 @ ERIK-DATOR, using multiplier of 13
12/17/09 17:20:07 v1.14 @ ERIK-DATOR, using small prime variation correction of 21 bits
12/17/09 17:20:07 v1.14 @ ERIK-DATOR, using SSE2 for trial division and x128 sieve scanning
12/17/09 17:20:07 v1.14 @ ERIK-DATOR, trial factoring cutoff at 96 bits
12/17/09 17:20:07 v1.14 @ ERIK-DATOR, ==== sieving started ( 2 threads) ====
12/17/09 17:47:38 v1.14 @ ERIK-DATOR, trial division touched 13557846 sieve locations out of 45420989644800
12/17/09 17:47:38 v1.14 @ ERIK-DATOR, 59732 relations found: 19973 full + 39759 from 551163 partial, using 38503850 polys (547 A polys)
12/17/09 17:47:38 v1.14 @ ERIK-DATOR, on average, sieving found 0.01 rels/poly and 345.78 rels/sec
12/17/09 17:47:38 v1.14 @ ERIK-DATOR, trial division touched 13557846 sieve locations out of 45420989644800
12/17/09 17:47:38 v1.14 @ ERIK-DATOR, ==== post processing stage (msieve-1.38) ====
12/17/09 17:47:39 v1.14 @ ERIK-DATOR, begin with 571136 relations
12/17/09 17:47:40 v1.14 @ ERIK-DATOR, reduce to 122343 relations in 9 passes
12/17/09 17:47:53 v1.14 @ ERIK-DATOR, recovered 122343 relations
12/17/09 17:47:53 v1.14 @ ERIK-DATOR, recovered 98940 polynomials
12/17/09 17:47:53 v1.14 @ ERIK-DATOR, attempting to build 59732 cycles
12/17/09 17:47:53 v1.14 @ ERIK-DATOR, found 59732 cycles in 4 passes
12/17/09 17:47:53 v1.14 @ ERIK-DATOR, distribution of cycle lengths:
12/17/09 17:47:53 v1.14 @ ERIK-DATOR,    length 1 : 19973
12/17/09 17:47:53 v1.14 @ ERIK-DATOR,    length 2 : 16102
12/17/09 17:47:53 v1.14 @ ERIK-DATOR,    length 3 : 11108
12/17/09 17:47:53 v1.14 @ ERIK-DATOR,    length 4 : 6291
12/17/09 17:47:53 v1.14 @ ERIK-DATOR,    length 5 : 3390
12/17/09 17:47:53 v1.14 @ ERIK-DATOR,    length 6 : 1583
12/17/09 17:47:53 v1.14 @ ERIK-DATOR,    length 7 : 755
12/17/09 17:47:53 v1.14 @ ERIK-DATOR,    length 9+: 530
12/17/09 17:47:53 v1.14 @ ERIK-DATOR, largest cycle: 17 relations
12/17/09 17:47:53 v1.14 @ ERIK-DATOR, matrix is 59299 x 59732 (12.1 MB) with weight 2922762 (48.93/col)
12/17/09 17:47:53 v1.14 @ ERIK-DATOR, sparse part has weight 2922762 (48.93/col)
12/17/09 17:47:53 v1.14 @ ERIK-DATOR, filtering completed in 3 passes
12/17/09 17:47:53 v1.14 @ ERIK-DATOR, matrix is 52382 x 52443 (10.8 MB) with weight 2612003 (49.81/col)
12/17/09 17:47:53 v1.14 @ ERIK-DATOR, sparse part has weight 2612003 (49.81/col)
12/17/09 17:47:54 v1.14 @ ERIK-DATOR, saving the first 48 matrix rows for later
12/17/09 17:47:54 v1.14 @ ERIK-DATOR, matrix is 52334 x 52443 (9.0 MB) with weight 2228680 (42.50/col)
12/17/09 17:47:54 v1.14 @ ERIK-DATOR, sparse part has weight 2043916 (38.97/col)
12/17/09 17:47:54 v1.14 @ ERIK-DATOR, matrix includes 64 packed rows
12/17/09 17:47:54 v1.14 @ ERIK-DATOR, using block size 20977 for processor cache size 2048 kB
12/17/09 17:47:54 v1.14 @ ERIK-DATOR, commencing Lanczos iteration
12/17/09 17:47:54 v1.14 @ ERIK-DATOR, memory use: 8.1 MB
12/17/09 17:48:20 v1.14 @ ERIK-DATOR, lanczos halted after 829 iterations (dim = 52333)
12/17/09 17:48:21 v1.14 @ ERIK-DATOR, recovered 19 nontrivial dependencies
12/17/09 17:48:22 v1.14 @ ERIK-DATOR, prp39 = 485355677072414738525607759311522393567
12/17/09 17:48:23 v1.14 @ ERIK-DATOR, prp48 = 685928354668540614395845427196619202593904737841
12/17/09 17:48:23 v1.14 @ ERIK-DATOR, Lanczos elapsed time = 42.5920 seconds.
12/17/09 17:48:23 v1.14 @ ERIK-DATOR, Sqrt elapsed time = 2.5280 seconds.
12/17/09 17:48:23 v1.14 @ ERIK-DATOR, SIQS elapsed time = 1696.8740 seconds.
software ソフトウェア
YAFU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

23×10108+73

c88

name 名前Erik Branger
date 日付December 17, 2009 17:58:58 UTC 2009 年 12 月 18 日 (金) 2 時 58 分 58 秒 (日本時間)
composite number 合成数
3216795530113556618934915882743498388485970004369579124482771856979467751789282255207721<88>
prime factors 素因数
2080914820955598617907251122725823898148173<43>
1545856417436797515310721619019024547744620877<46>
factorization results 素因数分解の結果
2/17/09 18:11:31 v1.14 @ ERIK-DATOR, starting SIQS on c88: 3216795530113556618934915882743498388485970004369579124482771856979467751789282255207721
12/17/09 18:11:31 v1.14 @ ERIK-DATOR, random seeds: 0, 4234451912
12/17/09 18:11:31 v1.14 @ ERIK-DATOR, ==== sieve params ====
12/17/09 18:11:31 v1.14 @ ERIK-DATOR, n = 88 digits, 291 bits
12/17/09 18:11:31 v1.14 @ ERIK-DATOR, factor base: 61083 primes (max prime = 1611749)
12/17/09 18:11:31 v1.14 @ ERIK-DATOR, single large prime cutoff: 177292390 (110 * pmax)
12/17/09 18:11:31 v1.14 @ ERIK-DATOR, double large prime range from 43 to 50 bits
12/17/09 18:11:31 v1.14 @ ERIK-DATOR, double large prime cutoff: 704112687915357
12/17/09 18:11:31 v1.14 @ ERIK-DATOR, allocating 12 large prime slices of factor base
12/17/09 18:11:31 v1.14 @ ERIK-DATOR, buckets hold 1024 elements
12/17/09 18:11:31 v1.14 @ ERIK-DATOR, sieve interval: 18 blocks of size 32768
12/17/09 18:11:31 v1.14 @ ERIK-DATOR, polynomial A has ~ 11 factors
12/17/09 18:11:31 v1.14 @ ERIK-DATOR, using multiplier of 1
12/17/09 18:11:31 v1.14 @ ERIK-DATOR, using small prime variation correction of 20 bits
12/17/09 18:11:31 v1.14 @ ERIK-DATOR, using SSE2 for trial division and x128 sieve scanning
12/17/09 18:11:31 v1.14 @ ERIK-DATOR, trial factoring cutoff at 97 bits
12/17/09 18:11:31 v1.14 @ ERIK-DATOR, ==== sieving started ( 2 threads) ====
12/17/09 18:39:06 v1.14 @ ERIK-DATOR, trial division touched 12387346 sieve locations out of 36035391651840
12/17/09 18:39:06 v1.14 @ ERIK-DATOR, 61605 relations found: 20676 full + 40929 from 577615 partial, using 30547580 polys (487 A polys)
12/17/09 18:39:06 v1.14 @ ERIK-DATOR, on average, sieving found 0.02 rels/poly and 361.41 rels/sec
12/17/09 18:39:06 v1.14 @ ERIK-DATOR, trial division touched 12387346 sieve locations out of 36035391651840
12/17/09 18:39:06 v1.14 @ ERIK-DATOR, ==== post processing stage (msieve-1.38) ====
12/17/09 18:39:07 v1.14 @ ERIK-DATOR, begin with 598291 relations
12/17/09 18:39:08 v1.14 @ ERIK-DATOR, reduce to 126888 relations in 9 passes
12/17/09 18:39:20 v1.14 @ ERIK-DATOR, recovered 126888 relations
12/17/09 18:39:20 v1.14 @ ERIK-DATOR, recovered 99447 polynomials
12/17/09 18:39:20 v1.14 @ ERIK-DATOR, attempting to build 61605 cycles
12/17/09 18:39:20 v1.14 @ ERIK-DATOR, found 61605 cycles in 5 passes
12/17/09 18:39:20 v1.14 @ ERIK-DATOR, distribution of cycle lengths:
12/17/09 18:39:20 v1.14 @ ERIK-DATOR,    length 1 : 20676
12/17/09 18:39:20 v1.14 @ ERIK-DATOR,    length 2 : 16707
12/17/09 18:39:20 v1.14 @ ERIK-DATOR,    length 3 : 11348
12/17/09 18:39:20 v1.14 @ ERIK-DATOR,    length 4 : 6423
12/17/09 18:39:20 v1.14 @ ERIK-DATOR,    length 5 : 3462
12/17/09 18:39:20 v1.14 @ ERIK-DATOR,    length 6 : 1681
12/17/09 18:39:20 v1.14 @ ERIK-DATOR,    length 7 : 723
12/17/09 18:39:20 v1.14 @ ERIK-DATOR,    length 9+: 585
12/17/09 18:39:20 v1.14 @ ERIK-DATOR, largest cycle: 15 relations
12/17/09 18:39:21 v1.14 @ ERIK-DATOR, matrix is 61083 x 61605 (12.2 MB) with weight 2961410 (48.07/col)
12/17/09 18:39:21 v1.14 @ ERIK-DATOR, sparse part has weight 2961410 (48.07/col)
12/17/09 18:39:22 v1.14 @ ERIK-DATOR, filtering completed in 4 passes
12/17/09 18:39:22 v1.14 @ ERIK-DATOR, matrix is 53728 x 53792 (10.9 MB) with weight 2631067 (48.91/col)
12/17/09 18:39:22 v1.14 @ ERIK-DATOR, sparse part has weight 2631067 (48.91/col)
12/17/09 18:39:22 v1.14 @ ERIK-DATOR, saving the first 48 matrix rows for later
12/17/09 18:39:22 v1.14 @ ERIK-DATOR, matrix is 53680 x 53792 (9.2 MB) with weight 2274175 (42.28/col)
12/17/09 18:39:22 v1.14 @ ERIK-DATOR, sparse part has weight 2084036 (38.74/col)
12/17/09 18:39:22 v1.14 @ ERIK-DATOR, matrix includes 64 packed rows
12/17/09 18:39:22 v1.14 @ ERIK-DATOR, using block size 21516 for processor cache size 2048 kB
12/17/09 18:39:24 v1.14 @ ERIK-DATOR, commencing Lanczos iteration
12/17/09 18:39:24 v1.14 @ ERIK-DATOR, memory use: 8.3 MB
12/17/09 18:39:47 v1.14 @ ERIK-DATOR, lanczos halted after 851 iterations (dim = 53676)
12/17/09 18:39:48 v1.14 @ ERIK-DATOR, recovered 13 nontrivial dependencies
12/17/09 18:39:49 v1.14 @ ERIK-DATOR, prp43 = 2080914820955598617907251122725823898148173
12/17/09 18:39:53 v1.14 @ ERIK-DATOR, prp46 = 1545856417436797515310721619019024547744620877
12/17/09 18:39:53 v1.14 @ ERIK-DATOR, Lanczos elapsed time = 41.3880 seconds.
12/17/09 18:39:53 v1.14 @ ERIK-DATOR, Sqrt elapsed time = 5.2320 seconds.
12/17/09 18:39:53 v1.14 @ ERIK-DATOR, SIQS elapsed time = 1702.0760 seconds.
software ソフトウェア
YAFU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

23×10115+73

c93

name 名前Dmitry Domanov
date 日付December 17, 2009 22:28:57 UTC 2009 年 12 月 18 日 (金) 7 時 28 分 57 秒 (日本時間)
composite number 合成数
236486950704981546873301241060210324387354907053759004965902155459257877449591326407926071369<93>
prime factors 素因数
145717171735411817146963718723119073599<39>
1622917518152125158739229174383634945061249878227930231<55>
factorization results 素因数分解の結果
N=236486950704981546873301241060210324387354907053759004965902155459257877449591326407926071369
  ( 93 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=145717171735411817146963718723119073599 (pp39)
 r2=1622917518152125158739229174383634945061249878227930231 (pp55)
Version: Msieve-1.40
Total time: 1.03 hours.
Scaled time: 2.00 units (timescale=1.934).
Factorization parameters were as follows:
n: 236486950704981546873301241060210324387354907053759004965902155459257877449591326407926071369
m: 100000000000000000000000
deg: 5
c5: 23
c0: 7
skew: 0.79
type: snfs
lss: 1
rlim: 610000
alim: 610000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 610000/610000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [305000, 555001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 62040 x 62274
Total sieving time: 1.01 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,116.000,5,0,0,0,0,0,0,0,0,610000,610000,25,25,45,45,2.2,2.2,50000
total time: 1.03 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 KamadaDecember 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

23×10117+73

c118

name 名前Dmitry Domanov
date 日付December 17, 2009 18:13:15 UTC 2009 年 12 月 18 日 (金) 3 時 13 分 15 秒 (日本時間)
composite number 合成数
7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669<118>
prime factors 素因数
14569581354226241661746116562056802057508343476522953837<56>
526210498453531331924932909008559187519482724594784737411043137<63>
factorization results 素因数分解の結果
N=7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
  ( 118 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=14569581354226241661746116562056802057508343476522953837 (pp56)
 r2=526210498453531331924932909008559187519482724594784737411043137 (pp63)
Version: Msieve-1.40
Total time: 1.40 hours.
Scaled time: 2.63 units (timescale=1.883).
Factorization parameters were as follows:
n: 7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
m: 100000000000000000000000
deg: 5
c5: 2300
c0: 7
skew: 0.31
type: snfs
lss: 1
rlim: 660000
alim: 660000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 660000/660000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [330000, 680001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 73555 x 73781
Total sieving time: 1.36 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,118.000,5,0,0,0,0,0,0,0,0,660000,660000,25,25,45,45,2.2,2.2,50000
total time: 1.40 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 KamadaDecember 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

23×10118+73

c102

name 名前Dmitry Domanov
date 日付December 17, 2009 22:32:27 UTC 2009 年 12 月 18 日 (金) 7 時 32 分 27 秒 (日本時間)
composite number 合成数
112862507723294616972009178085600140935549884805945509772132374654095565184658821451591703944738991519<102>
prime factors 素因数
616662315237088461756368984825451529618304609<45>
183021574262896725676823532935622444218431584201994836991<57>
factorization results 素因数分解の結果
N=112862507723294616972009178085600140935549884805945509772132374654095565184658821451591703944738991519
  ( 102 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=616662315237088461756368984825451529618304609 (pp45)
 r2=183021574262896725676823532935622444218431584201994836991 (pp57)
Version: Msieve-1.40
Total time: 1.42 hours.
Scaled time: 2.65 units (timescale=1.866).
Factorization parameters were as follows:
n: 112862507723294616972009178085600140935549884805945509772132374654095565184658821451591703944738991519
m: 100000000000000000000000
deg: 5
c5: 23000
c0: 7
skew: 0.20
type: snfs
lss: 1
rlim: 680000
alim: 680000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 680000/680000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [340000, 690001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 70562 x 70793
Total sieving time: 1.39 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,119.000,5,0,0,0,0,0,0,0,0,680000,680000,25,25,45,45,2.2,2.2,50000
total time: 1.42 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 KamadaDecember 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

23×10127+73

c113

name 名前Dmitry Domanov
date 日付December 17, 2009 19:16:04 UTC 2009 年 12 月 18 日 (金) 4 時 16 分 4 秒 (日本時間)
composite number 合成数
27207628019144882054012175877546708769211265306368105830557938863759367147355611190125656060628084554910176426701<113>
prime factors 素因数
903364418940510837202718011796346043<36>
30118108980930079273273885810813189661278080103264113178198009378613739190807<77>
factorization results 素因数分解の結果
N=27207628019144882054012175877546708769211265306368105830557938863759367147355611190125656060628084554910176426701
  ( 113 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=903364418940510837202718011796346043 (pp36)
 r2=30118108980930079273273885810813189661278080103264113178198009378613739190807 (pp77)
Version: Msieve-1.40
Total time: 2.10 hours.
Scaled time: 3.95 units (timescale=1.877).
Factorization parameters were as follows:
n: 27207628019144882054012175877546708769211265306368105830557938863759367147355611190125656060628084554910176426701
m: 10000000000000000000000000
deg: 5
c5: 2300
c0: 7
skew: 0.31
type: snfs
lss: 1
rlim: 960000
alim: 960000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 960000/960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [480000, 930001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 147422 x 147647
Total sieving time: 2.02 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,128.000,5,0,0,0,0,0,0,0,0,960000,960000,26,26,47,47,2.3,2.3,50000
total time: 2.10 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 KamadaDecember 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

23×10132+73

c119

name 名前Dmitry Domanov
date 日付December 17, 2009 23:18:19 UTC 2009 年 12 月 18 日 (金) 8 時 18 分 19 秒 (日本時間)
composite number 合成数
14883269991134289211077349683781442707264471531662519776756720046042023420857648997080679874326196989860850194432708433<119>
prime factors 素因数
1325930876011785899835125289730218699242507<43>
11224770657653797020738499348061137631067325221162132058552569512965365014419<77>
factorization results 素因数分解の結果
N=14883269991134289211077349683781442707264471531662519776756720046042023420857648997080679874326196989860850194432708433
  ( 119 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=1325930876011785899835125289730218699242507 (pp43)
 r2=11224770657653797020738499348061137631067325221162132058552569512965365014419 (pp77)
Version: Msieve-1.40
Total time: 3.14 hours.
Scaled time: 5.93 units (timescale=1.888).
Factorization parameters were as follows:
n: 14883269991134289211077349683781442707264471531662519776756720046042023420857648997080679874326196989860850194432708433
m: 100000000000000000000000000
deg: 5
c5: 2300
c0: 7
skew: 0.31
type: snfs
lss: 1
rlim: 1170000
alim: 1170000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1170000/1170000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [585000, 1235001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 187019 x 187244
Total sieving time: 3.01 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,133.000,5,0,0,0,0,0,0,0,0,1170000,1170000,26,26,47,47,2.3,2.3,50000
total time: 3.14 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

23×10135+73

c99

name 名前juno1369
date 日付December 20, 2009 22:48:35 UTC 2009 年 12 月 21 日 (月) 7 時 48 分 35 秒 (日本時間)
composite number 合成数
148812570141244159548583178346655645264533414299018712051791343900277074936886619081486558885403947<99>
prime factors 素因数
3458833797702092192028014218740192151<37>
43023914661672714363772351729455871813057323558894140821120397<62>
factorization results 素因数分解の結果
Msieve v. 1.43
Sat Dec 19 22:27:52 2009
random seeds: 75b3f540 5533574a
factoring 1488125701412441595485831783466556452645334142990187120517913439002770
74936886619081486558885403947 (99 digits)
searching for 15-digit factors
searching for 20-digit factors
searching for 25-digit factors
200 of 214 curves
completed 214 ECM curves
searching for 30-digit factors
425 of 430 curves
completed 430 ECM curves
commencing quadratic sieve (99-digit input)
using multiplier of 47
using 64kb Opteron sieve core
sieve interval: 18 blocks of size 65536
processing polynomials in batches of 6
using a sieve bound of 2567269 (94118 primes)
using large prime bound of 385090350 (28 bits)
using double large prime bound of 2844544577802900 (43-52 bits)
using trial factoring cutoff of 52 bits
polynomial 'A' values have 13 factors

sieving in progress (press Ctrl-C to pause)
94500 relations (22703 full + 71797 combined from 1416345 partial), need 94214
94500 relations (22703 full + 71797 combined from 1416345 partial), need 94214
sieving complete, commencing postprocessing
begin with 1439048 relations
reduce to 247787 relations in 11 passes
attempting to read 247787 relations
recovered 247787 relations
recovered 237649 polynomials
attempting to build 94500 cycles
found 94500 cycles in 5 passes
distribution of cycle lengths:
   length 1 : 22703
   length 2 : 16212
   length 3 : 16087
   length 4 : 12823
   length 5 : 9707
   length 6 : 6522
   length 7 : 4339
   length 9+: 6107
largest cycle: 19 relations
matrix is 94118 x 94500 (25.6 MB) with weight 6327221 (66.95/col)
sparse part has weight 6327221 (66.95/col)
filtering completed in 3 passes
matrix is 90199 x 90263 (24.5 MB) with weight 6059463 (67.13/col)
sparse part has weight 6059463 (67.13/col)
saving the first 48 matrix rows for later
matrix is 90151 x 90263 (14.4 MB) with weight 4716111 (52.25/col)
sparse part has weight 3236903 (35.86/col)
matrix includes 64 packed rows
using block size 21845 for processor cache size 512 kB
commencing Lanczos iteration
memory use: 15.1 MB
linear algebra at 26.7%, ETA 0h 0m90263 dimensions (26.7%, ETA 0h 0m)
linear algebra completed 88361 of 90263 dimensions (97.9%, ETA 0h 0m)
lanczos halted after 1427 iterations (dim = 90149)
recovered 16 nontrivial dependencies
prp37 factor: 3458833797702092192028014218740192151
prp62 factor: 43023914661672714363772351729455871813057323558894140821120397
elapsed time 17:36:29
software ソフトウェア
Msieve v1.43

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

23×10136+73

c90

name 名前Erik Branger
date 日付December 17, 2009 19:03:36 UTC 2009 年 12 月 18 日 (金) 4 時 3 分 36 秒 (日本時間)
composite number 合成数
279238936223856629565358566671998470909289797293239621891946305210805050327370355301150613<90>
prime factors 素因数
181640374412425783567041523872410101<36>
1537317554685431513606392745565325440665719944957889313<55>
factorization results 素因数分解の結果
12/17/09 19:00:07 v1.14 @ ERIK-DATOR, starting SIQS on c90: 279238936223856629565358566671998470909289797293239621891946305210805050327370355301150613
12/17/09 19:00:07 v1.14 @ ERIK-DATOR, random seeds: 0, 4234451912
12/17/09 19:00:07 v1.14 @ ERIK-DATOR, ==== sieve params ====
12/17/09 19:00:07 v1.14 @ ERIK-DATOR, n = 91 digits, 300 bits
12/17/09 19:00:07 v1.14 @ ERIK-DATOR, factor base: 65244 primes (max prime = 1727969)
12/17/09 19:00:07 v1.14 @ ERIK-DATOR, single large prime cutoff: 190076590 (110 * pmax)
12/17/09 19:00:07 v1.14 @ ERIK-DATOR, double large prime range from 43 to 50 bits
12/17/09 19:00:07 v1.14 @ ERIK-DATOR, double large prime cutoff: 798126145132792
12/17/09 19:00:07 v1.14 @ ERIK-DATOR, allocating 13 large prime slices of factor base
12/17/09 19:00:07 v1.14 @ ERIK-DATOR, buckets hold 1024 elements
12/17/09 19:00:07 v1.14 @ ERIK-DATOR, sieve interval: 18 blocks of size 32768
12/17/09 19:00:07 v1.14 @ ERIK-DATOR, polynomial A has ~ 12 factors
12/17/09 19:00:07 v1.14 @ ERIK-DATOR, using multiplier of 5
12/17/09 19:00:07 v1.14 @ ERIK-DATOR, using small prime variation correction of 19 bits
12/17/09 19:00:07 v1.14 @ ERIK-DATOR, using SSE2 for trial division and x128 sieve scanning
12/17/09 19:00:07 v1.14 @ ERIK-DATOR, trial factoring cutoff at 97 bits
12/17/09 19:00:07 v1.14 @ ERIK-DATOR, ==== sieving started ( 2 threads) ====
12/17/09 20:01:35 v1.14 @ ERIK-DATOR, trial division touched 24313873 sieve locations out of 127655263862784
12/17/09 20:01:35 v1.14 @ ERIK-DATOR, 65511 relations found: 18382 full + 47129 from 776551 partial, using 108214708 polys (901 A polys)
12/17/09 20:01:35 v1.14 @ ERIK-DATOR, on average, sieving found 0.01 rels/poly and 215.54 rels/sec
12/17/09 20:01:35 v1.14 @ ERIK-DATOR, trial division touched 24313873 sieve locations out of 127655263862784
12/17/09 20:01:35 v1.14 @ ERIK-DATOR, ==== post processing stage (msieve-1.38) ====
12/17/09 20:01:37 v1.14 @ ERIK-DATOR, begin with 794933 relations
12/17/09 20:01:37 v1.14 @ ERIK-DATOR, reduce to 155460 relations in 10 passes
12/17/09 20:02:01 v1.14 @ ERIK-DATOR, recovered 155460 relations
12/17/09 20:02:01 v1.14 @ ERIK-DATOR, recovered 132922 polynomials
12/17/09 20:02:01 v1.14 @ ERIK-DATOR, attempting to build 65511 cycles
12/17/09 20:02:01 v1.14 @ ERIK-DATOR, found 65511 cycles in 5 passes
12/17/09 20:02:01 v1.14 @ ERIK-DATOR, distribution of cycle lengths:
12/17/09 20:02:01 v1.14 @ ERIK-DATOR,    length 1 : 18382
12/17/09 20:02:01 v1.14 @ ERIK-DATOR,    length 2 : 13580
12/17/09 20:02:01 v1.14 @ ERIK-DATOR,    length 3 : 11794
12/17/09 20:02:01 v1.14 @ ERIK-DATOR,    length 4 : 8587
12/17/09 20:02:01 v1.14 @ ERIK-DATOR,    length 5 : 5541
12/17/09 20:02:01 v1.14 @ ERIK-DATOR,    length 6 : 3548
12/17/09 20:02:01 v1.14 @ ERIK-DATOR,    length 7 : 1864
12/17/09 20:02:01 v1.14 @ ERIK-DATOR,    length 9+: 2215
12/17/09 20:02:01 v1.14 @ ERIK-DATOR, largest cycle: 17 relations
12/17/09 20:02:02 v1.14 @ ERIK-DATOR, matrix is 65244 x 65511 (15.5 MB) with weight 3798781 (57.99/col)
12/17/09 20:02:02 v1.14 @ ERIK-DATOR, sparse part has weight 3798781 (57.99/col)
12/17/09 20:02:02 v1.14 @ ERIK-DATOR, filtering completed in 3 passes
12/17/09 20:02:02 v1.14 @ ERIK-DATOR, matrix is 60588 x 60650 (14.5 MB) with weight 3552557 (58.57/col)
12/17/09 20:02:02 v1.14 @ ERIK-DATOR, sparse part has weight 3552557 (58.57/col)
12/17/09 20:02:03 v1.14 @ ERIK-DATOR, saving the first 48 matrix rows for later
12/17/09 20:02:04 v1.14 @ ERIK-DATOR, matrix is 60540 x 60650 (12.5 MB) with weight 3129931 (51.61/col)
12/17/09 20:02:04 v1.14 @ ERIK-DATOR, sparse part has weight 2911807 (48.01/col)
12/17/09 20:02:04 v1.14 @ ERIK-DATOR, matrix includes 64 packed rows
12/17/09 20:02:04 v1.14 @ ERIK-DATOR, using block size 24260 for processor cache size 2048 kB
12/17/09 20:02:05 v1.14 @ ERIK-DATOR, commencing Lanczos iteration
12/17/09 20:02:05 v1.14 @ ERIK-DATOR, memory use: 10.7 MB
12/17/09 20:02:54 v1.14 @ ERIK-DATOR, lanczos halted after 959 iterations (dim = 60538)
12/17/09 20:02:54 v1.14 @ ERIK-DATOR, recovered 17 nontrivial dependencies
12/17/09 20:02:57 v1.14 @ ERIK-DATOR, prp55 = 1537317554685431513606392745565325440665719944957889313
12/17/09 20:03:00 v1.14 @ ERIK-DATOR, prp36 = 181640374412425783567041523872410101
12/17/09 20:03:00 v1.14 @ ERIK-DATOR, Lanczos elapsed time = 79.7520 seconds.
12/17/09 20:03:00 v1.14 @ ERIK-DATOR, Sqrt elapsed time = 5.3220 seconds.
12/17/09 20:03:00 v1.14 @ ERIK-DATOR, SIQS elapsed time = 3773.2500 seconds.
software ソフトウェア
YAFU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

23×10139+73

c92

name 名前Erik Branger
date 日付December 17, 2009 20:33:25 UTC 2009 年 12 月 18 日 (金) 5 時 33 分 25 秒 (日本時間)
composite number 合成数
36341235429300947152532358431311731673430180271977943420379116126867369874894462531083591089<92>
prime factors 素因数
775231789371928457084912814154799110990573<42>
46877896298271797921498266587994595101347397988693<50>
factorization results 素因数分解の結果
Number: 76669_139
N=36341235429300947152532358431311731673430180271977943420379116126867369874894462531083591089
  ( 92 digits)
Divisors found:
 r1=775231789371928457084912814154799110990573 (pp42)
 r2=46877896298271797921498266587994595101347397988693 (pp50)
Version: Msieve v. 1.43
Total time: 2.11 hours.
Scaled time: 1.64 units (timescale=0.777).
Factorization parameters were as follows:
n: 36341235429300947152532358431311731673430180271977943420379116126867369874894462531083591089
# Murphy_E = 3.229128e-008
skew: 555236.39
Y0: -11092746106454675872026
Y1: 708120481289
c0: 29526976497269909000205785
c1: -682708658988982613014
c2: 439706832670957
c3: 2783592832
c4: 2400
type: gnfs
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [350000, 790001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 105343 x 105568
Total sieving time: 2.03 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,91,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,700000,700000,25,25,44,44,2.4,2.4,40000
total time: 2.11 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 KamadaDecember 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

23×10141+73

c120

name 名前Sinkiti Sibata
date 日付December 18, 2009 23:05:55 UTC 2009 年 12 月 19 日 (土) 8 時 5 分 55 秒 (日本時間)
composite number 合成数
838897288346698676736378991019063509193383444639059360334579951375235148072501160068008255407397685675289825881689960299<120>
prime factors 素因数
2083853324801408599389966838086141184874984236681<49>
402570218528526070940163750097373007378101682310498374715713110986762579<72>
factorization results 素因数分解の結果
Number: 76669_141
N=838897288346698676736378991019063509193383444639059360334579951375235148072501160068008255407397685675289825881689960299
  ( 120 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=2083853324801408599389966838086141184874984236681 (pp49)
 r2=402570218528526070940163750097373007378101682310498374715713110986762579 (pp72)
Version: Msieve v. 1.42
Total time: 0.30 hours.
Scaled time: 0.21 units (timescale=0.682).
Factorization parameters were as follows:
name: 76669_141
n: 838897288346698676736378991019063509193383444639059360334579951375235148072501160068008255407397685675289825881689960299
m: 10000000000000000000000000000
deg: 5
c5: 230
c0: 7
skew: 0.50
type: snfs
lss: 1
rlim: 1650000
alim: 1650000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1650000/1650000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [825000, 1625001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 264587 x 264812
Total sieving time: 0.00 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,142.000,5,0,0,0,0,0,0,0,0,1650000,1650000,26,26,48,48,2.3,2.3,100000
total time: 0.30 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.30 BogoMIPS (lpj=1860651)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860572)
Total of 2 processors activated (7442.44 BogoMIPS).

Total time: 4 hours 44 min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

23×10142+73

c123

name 名前Sinkiti Sibata
date 日付December 19, 2009 09:20:59 UTC 2009 年 12 月 19 日 (土) 18 時 20 分 59 秒 (日本時間)
composite number 合成数
728819796216020631469069013156918914136300178569459943687460673644864973048609517087817464282035309952331459120412764004779<123>
prime factors 素因数
71949625685388118004628906184513<32>
10129584265009358087759358380931186887271440274828731755903178974061895680101063464082645483<92>
factorization results 素因数分解の結果
Number: 76669_142
N=728819796216020631469069013156918914136300178569459943687460673644864973048609517087817464282035309952331459120412764004779
  ( 123 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=71949625685388118004628906184513 (pp32)
 r2=10129584265009358087759358380931186887271440274828731755903178974061895680101063464082645483 (pp92)
Version: Msieve v. 1.42
Total time: 0.36 hours.
Scaled time: 0.24 units (timescale=0.682).
Factorization parameters were as follows:
name: 76669_142
n: 728819796216020631469069013156918914136300178569459943687460673644864973048609517087817464282035309952331459120412764004779
m: 10000000000000000000000000000
deg: 5
c5: 2300
c0: 7
skew: 0.31
type: snfs
lss: 1
rlim: 1720000
alim: 1720000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1720000/1720000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [860000, 2160001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 304107 x 304332
Total sieving time: 0.00 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.27 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,143.000,5,0,0,0,0,0,0,0,0,1720000,1720000,26,26,48,48,2.3,2.3,100000
total time: 0.36 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.30 BogoMIPS (lpj=1860651)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860572)
Total of 2 processors activated (7442.44 BogoMIPS).

Total time: 7 hours 28 min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

23×10145+73

c86

name 名前Dmitry Domanov
date 日付December 17, 2009 15:59:13 UTC 2009 年 12 月 18 日 (金) 0 時 59 分 13 秒 (日本時間)
composite number 合成数
41833945473448350880238225571747760250081278595496669485943405224873781172003230286373<86>
prime factors 素因数
308224982757838303873874799904859<33>
135725355871998971820929399371563345018944591056562047<54>
factorization results 素因数分解の結果
12/17/09 19:19:44 v1.14 @ REPGMAIL, starting SIQS on c86: 41833945473448350880238225571747760250081278595496669485943405224873781172003230286373
12/17/09 19:19:44 v1.14 @ REPGMAIL, random seeds: 0, 3887612160
12/17/09 19:19:44 v1.14 @ REPGMAIL, ==== sieve params ====
12/17/09 19:19:44 v1.14 @ REPGMAIL, n = 86 digits, 286 bits
12/17/09 19:19:44 v1.14 @ REPGMAIL, factor base: 57516 primes (max prime = 1506473)
12/17/09 19:19:44 v1.14 @ REPGMAIL, single large prime cutoff: 165712030 (110 * pmax)
12/17/09 19:19:44 v1.14 @ REPGMAIL, double large prime range from 43 to 50 bits
12/17/09 19:19:44 v1.14 @ REPGMAIL, double large prime cutoff: 623501162502699
12/17/09 19:19:44 v1.14 @ REPGMAIL, allocating 12 large prime slices of factor base
12/17/09 19:19:44 v1.14 @ REPGMAIL, buckets hold 1024 elements
12/17/09 19:19:44 v1.14 @ REPGMAIL, sieve interval: 18 blocks of size 32768
12/17/09 19:19:44 v1.14 @ REPGMAIL, polynomial A has ~ 11 factors
12/17/09 19:19:44 v1.14 @ REPGMAIL, using multiplier of 2
12/17/09 19:19:44 v1.14 @ REPGMAIL, using small prime variation correction of 21 bits
12/17/09 19:19:44 v1.14 @ REPGMAIL, using SSE2 for trial division and x128 sieve scanning
12/17/09 19:19:44 v1.14 @ REPGMAIL, trial factoring cutoff at 93 bits
12/17/09 19:19:44 v1.14 @ REPGMAIL, ==== sieving started ( 8 threads) ====
12/17/09 19:27:13 v1.14 @ REPGMAIL, trial division touched 12867503 sieve locations out of 5630374969344
12/17/09 19:27:13 v1.14 @ REPGMAIL, 57789 relations found: 19383 full + 38406 from 538217 partial, using 4772928 polys (383 A polys)
12/17/09 19:27:13 v1.14 @ REPGMAIL, on average, sieving found 0.12 rels/poly and 1243.53 rels/sec
12/17/09 19:27:13 v1.14 @ REPGMAIL, trial division touched 12867503 sieve locations out of 5630374969344
12/17/09 19:27:13 v1.14 @ REPGMAIL, ==== post processing stage (msieve-1.38) ====
12/17/09 19:27:13 v1.14 @ REPGMAIL, begin with 557600 relations
12/17/09 19:27:13 v1.14 @ REPGMAIL, reduce to 118522 relations in 9 passes
12/17/09 19:27:17 v1.14 @ REPGMAIL, recovered 118522 relations
12/17/09 19:27:17 v1.14 @ REPGMAIL, recovered 88934 polynomials
12/17/09 19:27:17 v1.14 @ REPGMAIL, attempting to build 57789 cycles
12/17/09 19:27:17 v1.14 @ REPGMAIL, found 57789 cycles in 5 passes
12/17/09 19:27:17 v1.14 @ REPGMAIL, distribution of cycle lengths:
12/17/09 19:27:17 v1.14 @ REPGMAIL,    length 1 : 19383
12/17/09 19:27:17 v1.14 @ REPGMAIL,    length 2 : 15799
12/17/09 19:27:17 v1.14 @ REPGMAIL,    length 3 : 10625
12/17/09 19:27:17 v1.14 @ REPGMAIL,    length 4 : 6108
12/17/09 19:27:17 v1.14 @ REPGMAIL,    length 5 : 3174
12/17/09 19:27:17 v1.14 @ REPGMAIL,    length 6 : 1511
12/17/09 19:27:17 v1.14 @ REPGMAIL,    length 7 : 662
12/17/09 19:27:17 v1.14 @ REPGMAIL,    length 9+: 527
12/17/09 19:27:17 v1.14 @ REPGMAIL, largest cycle: 18 relations
12/17/09 19:27:18 v1.14 @ REPGMAIL, matrix is 57516 x 57789 (11.5 MB) with weight 2782363 (48.15/col)
12/17/09 19:27:18 v1.14 @ REPGMAIL, sparse part has weight 2782363 (48.15/col)
12/17/09 19:27:19 v1.14 @ REPGMAIL, filtering completed in 3 passes
12/17/09 19:27:19 v1.14 @ REPGMAIL, matrix is 50686 x 50748 (10.3 MB) with weight 2498924 (49.24/col)
12/17/09 19:27:19 v1.14 @ REPGMAIL, sparse part has weight 2498924 (49.24/col)
12/17/09 19:27:19 v1.14 @ REPGMAIL, saving the first 48 matrix rows for later
12/17/09 19:27:19 v1.14 @ REPGMAIL, matrix is 50638 x 50748 (8.4 MB) with weight 2108203 (41.54/col)
12/17/09 19:27:19 v1.14 @ REPGMAIL, sparse part has weight 1895287 (37.35/col)
12/17/09 19:27:19 v1.14 @ REPGMAIL, matrix includes 64 packed rows
12/17/09 19:27:19 v1.14 @ REPGMAIL, using block size 20299 for processor cache size 6144 kB
12/17/09 19:27:20 v1.14 @ REPGMAIL, commencing Lanczos iteration
12/17/09 19:27:20 v1.14 @ REPGMAIL, memory use: 7.7 MB
12/17/09 19:27:34 v1.14 @ REPGMAIL, lanczos halted after 802 iterations (dim = 50632)
12/17/09 19:27:35 v1.14 @ REPGMAIL, recovered 14 nontrivial dependencies
12/17/09 19:27:35 v1.14 @ REPGMAIL, prp54 = 135725355871998971820929399371563345018944591056562047
12/17/09 19:27:39 v1.14 @ REPGMAIL, prp33 = 308224982757838303873874799904859
12/17/09 19:27:39 v1.14 @ REPGMAIL, Lanczos elapsed time = 21.9690 seconds.
12/17/09 19:27:39 v1.14 @ REPGMAIL, Sqrt elapsed time = 4.4530 seconds.
12/17/09 19:27:39 v1.14 @ REPGMAIL, SIQS elapsed time = 474.8220 seconds.
software ソフトウェア
YAFU v1.14

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)

23×10147+73

c104

name 名前juno1369
date 日付December 20, 2009 04:15:38 UTC 2009 年 12 月 20 日 (日) 13 時 15 分 38 秒 (日本時間)
composite number 合成数
22284333137696557807714380150601254643820691108661317818097177585095365990161268432870065870725737588261<104>
prime factors 素因数
1576927594338858417099868817129842397<37>
14131487848710943543825233712682918947740417532191773099546602894313<68>
factorization results 素因数分解の結果
Using B1=3000000, B2=4016636514, polynomial Dickson(12), sigma=3492825937
Step 1 took 33200ms
Step 2 took 30915ms
********** Factor found in step 2: 1576927594338858417099868817129842397
Found probable prime factor of 37 digits: 1576927594338858417099868817129842397
Probable prime cofactor 14131487848710943543825233712682918947740417532191773099
546602894313 has 68 digits
software ソフトウェア
GMP-ECM 5.1 beta

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 17, 2009 14:00:00 UTC 2009 年 12 月 17 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6280 / 2318Marox1990December 19, 2009 04:01:43 UTC 2009 年 12 月 19 日 (土) 13 時 1 分 43 秒 (日本時間)

23×10153+73

c131

name 名前Sinkiti Sibata
date 日付January 28, 2010 09:20:02 UTC 2010 年 1 月 28 日 (木) 18 時 20 分 2 秒 (日本時間)
composite number 合成数
98336924322483579032407034851378302620511330266910455785609961978970022898229418996672597453259627140137314517199269057877978134431<131>
prime factors 素因数
114054106892557668415391191142602492128289512985072581979367367817<66>
862195382539971675145247578782932312167854978994400451566669299943<66>
factorization results 素因数分解の結果
Number: 76669_153
N=98336924322483579032407034851378302620511330266910455785609961978970022898229418996672597453259627140137314517199269057877978134431
  ( 131 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=114054106892557668415391191142602492128289512985072581979367367817 (pp66)
 r2=862195382539971675145247578782932312167854978994400451566669299943 (pp66)
Version: Msieve-1.40
Total time: 25.27 hours.
Scaled time: 65.99 units (timescale=2.611).
Factorization parameters were as follows:
name: 76669_153
n: 98336924322483579032407034851378302620511330266910455785609961978970022898229418996672597453259627140137314517199269057877978134431
m: 1000000000000000000000000000000
deg: 5
c5: 23000
c0: 7
skew: 0.20
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 457151 x 457399
Total sieving time: 24.59 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.52 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,154.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 25.27 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10156+73

c141

name 名前Serge Batalov
date 日付January 27, 2010 12:58:27 UTC 2010 年 1 月 27 日 (水) 21 時 58 分 27 秒 (日本時間)
composite number 合成数
612468905573257040832921649274812352808645948054167263375657200403718169427152087193971809531603596352554226823096780274805778218243057722729<141>
prime factors 素因数
71611117876317087698878613010731<32>
composite cofactor 合成数の残り
8552706950212406186609655281771058547233152842952708897876635334250262087898782791633368685935970154269321659<109>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=4285968214
Step 1 took 6005ms
Step 2 took 3412ms
********** Factor found in step 2: 71611117876317087698878613010731
Found probable prime factor of 32 digits: 71611117876317087698878613010731
Composite cofactor has 109 digits

c109

name 名前Sinkiti Sibata
date 日付January 28, 2010 23:18:50 UTC 2010 年 1 月 29 日 (金) 8 時 18 分 50 秒 (日本時間)
composite number 合成数
8552706950212406186609655281771058547233152842952708897876635334250262087898782791633368685935970154269321659<109>
prime factors 素因数
85902835310167560827648873059925435838977663<44>
99562568794514489235193540577718954357478783295021658136125073093<65>
factorization results 素因数分解の結果
Number: 76669_156
N=8552706950212406186609655281771058547233152842952708897876635334250262087898782791633368685935970154269321659
  ( 109 digits)
Divisors found:
 r1=85902835310167560827648873059925435838977663 (pp44)
 r2=99562568794514489235193540577718954357478783295021658136125073093 (pp65)
Version: Msieve-1.40
Total time: 14.97 hours.
Scaled time: 33.18 units (timescale=2.217).
Factorization parameters were as follows:
name: 76669_156
n: 8552706950212406186609655281771058547233152842952708897876635334250262087898782791633368685935970154269321659
skew: 14171.49
# norm 1.39e+15
c5: 192780
c4: -4869166716
c3: -97997234841645
c2: 1244668547207715500
c1: 15353691215126112812740
c0: -342204545992189699261584
# alpha -6.47
Y1: 417779992619
Y0: -536302760238194126065
# Murphy_E 1.20e-09
# M 5387577242055012184980090030935567881720925372586799010327400600337688928588006122711415643221258662571732443
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 422587 x 422835
Polynomial selection time: 1.36 hours.
Total sieving time: 13.04 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.41 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 14.97 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10157+73

c145

name 名前Robert Backstrom
date 日付January 28, 2010 23:19:42 UTC 2010 年 1 月 29 日 (金) 8 時 19 分 42 秒 (日本時間)
composite number 合成数
4352809246033674402278753051157627052735705301275091076926027777389719062867415111620917545456418012346177345840952188864659186809122921518056767<145>
prime factors 素因数
43703197716399164876235332313877197818771581<44>
99599330792225497839357060871151631660324931619195158274416521313577336952099282338375507701644729707<101>
factorization results 素因数分解の結果
Number: n
N=4352809246033674402278753051157627052735705301275091076926027777389719062867415111620917545456418012346177345840952188864659186809122921518056767
  ( 145 digits)
SNFS difficulty: 158 digits.
Divisors found:

Fri Jan 29 10:12:17 2010  prp44 factor: 43703197716399164876235332313877197818771581
Fri Jan 29 10:12:17 2010  prp101 factor: 99599330792225497839357060871151631660324931619195158274416521313577336952099282338375507701644729707
Fri Jan 29 10:12:17 2010  elapsed time 00:40:16 (Msieve 1.43 - dependency 1)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 14.18 hours.
Scaled time: 25.93 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_7_6_156_9
n: 4352809246033674402278753051157627052735705301275091076926027777389719062867415111620917545456418012346177345840952188864659186809122921518056767
m: 10000000000000000000000000000000
deg: 5
c5: 2300
c0: 7
skew: 0.31
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 20000
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [1550000, 3210000
)
Primes: RFBsize:223492, AFBsize:222900, largePrimes:8106457 encountered
Relations: rels:8149573, finalFF:590963
Max relations in full relation-set: 28
Initial matrix: 446459 x 590963 with sparse part having weight 95442252.
Pruned matrix : 406679 x 408975 with weight 57266228.

Msieve: found 981889 hash collisions in 8961557 relations
Msieve: matrix is 514682 x 514908 (137.7 MB)

Total sieving time: 13.99 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 14.18 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 KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10158+73

c131

name 名前Sinkiti Sibata
date 日付January 30, 2010 12:38:43 UTC 2010 年 1 月 30 日 (土) 21 時 38 分 43 秒 (日本時間)
composite number 合成数
27334155905451623930455149885099996998364175674630491303609994135500987616496800122873793918735542301347598857953388021163715351657<131>
prime factors 素因数
26282496594439501655069778151181266352072855807554463938921517<62>
1040013676297198427344627421618353790749321742343645089802114906229421<70>
factorization results 素因数分解の結果
Number: 76669_158
N=27334155905451623930455149885099996998364175674630491303609994135500987616496800122873793918735542301347598857953388021163715351657
  ( 131 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=26282496594439501655069778151181266352072855807554463938921517 (pp62)
 r2=1040013676297198427344627421618353790749321742343645089802114906229421 (pp70)
Version: Msieve-1.40
Total time: 36.02 hours.
Scaled time: 109.50 units (timescale=3.040).
Factorization parameters were as follows:
name: 76669_158
n: 27334155905451623930455149885099996998364175674630491303609994135500987616496800122873793918735542301347598857953388021163715351657
m: 10000000000000000000000000000000
deg: 5
c5: 23000
c0: 7
skew: 0.20
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 3200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 565891 x 566139
Total sieving time: 35.14 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.73 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,159.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 36.02 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10159+73

c132

name 名前Sinkiti Sibata
date 日付January 30, 2010 05:36:27 UTC 2010 年 1 月 30 日 (土) 14 時 36 分 27 秒 (日本時間)
composite number 合成数
640034062930645291018561969820609624677230177888622445854343357664918529790748217684910415613744803085529451674496782609057991328477<132>
prime factors 素因数
368103943973771879252164132662857<33>
1738731881058707050264806534423008925023717844327523461553385285115749671181815992247829469491740661<100>
factorization results 素因数分解の結果
Number: 76669_159
N=640034062930645291018561969820609624677230177888622445854343357664918529790748217684910415613744803085529451674496782609057991328477
  ( 132 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=368103943973771879252164132662857 (pp33)
 r2=1738731881058707050264806534423008925023717844327523461553385285115749671181815992247829469491740661 (pp100)
Version: Msieve v. 1.42
Total time: 1.88 hours.
Scaled time: 1.28 units (timescale=0.682).
Factorization parameters were as follows:
name: 76669_159
n: 640034062930645291018561969820609624677230177888622445854343357664918529790748217684910415613744803085529451674496782609057991328477
m: 10000000000000000000000000000000
deg: 5
c5: 230000
c0: 7
skew: 0.12
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1650000, 2950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 700517 x 700752
Total sieving time: 0.00 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.60 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,160.000,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
total time: 1.88 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.24 BogoMIPS (lpj=1860624)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860570)
Total of 2 processors activated (7442.38 BogoMIPS).

Total time: 24 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10160+73

c160

name 名前Dmitry Domanov
date 日付January 27, 2010 10:42:11 UTC 2010 年 1 月 27 日 (水) 19 時 42 分 11 秒 (日本時間)
composite number 合成数
1631205673758865248226950354609929078014184397163120567375886524822695035460992907801418439716312056737588652482269503546099290780141843971631205673758865248227<160>
prime factors 素因数
3387528341784394753967704543371463<34>
481532701479811331066968519301047893465309777695965269558017699159419458591452740108418393250983989339073871460507687477146629<126>
factorization results 素因数分解の結果
Factor=3387528341784394753967704543371463  Method=ECM  B1=11000000  Sigma=1007895474
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10161+73

c127

name 名前Sinkiti Sibata
date 日付January 30, 2010 23:15:14 UTC 2010 年 1 月 31 日 (日) 8 時 15 分 14 秒 (日本時間)
composite number 合成数
1500884027589323223406931298785653019332349366018585780943455146788828382677846367648400775354416357139243403900519757757808013<127>
prime factors 素因数
233872320125176439879328120034821185286384749<45>
6417535973414891157095190706660519005674694098840645830417804704898683577389752737<82>
factorization results 素因数分解の結果
Number: 76669_161
N=1500884027589323223406931298785653019332349366018585780943455146788828382677846367648400775354416357139243403900519757757808013
  ( 127 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=233872320125176439879328120034821185286384749 (pp45)
 r2=6417535973414891157095190706660519005674694098840645830417804704898683577389752737 (pp82)
Version: Msieve-1.40
Total time: 32.34 hours.
Scaled time: 103.96 units (timescale=3.215).
Factorization parameters were as follows:
name: 76669_161
n: 1500884027589323223406931298785653019332349366018585780943455146788828382677846367648400775354416357139243403900519757757808013
m: 100000000000000000000000000000000
deg: 5
c5: 230
c0: 7
skew: 0.50
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 3200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 640478 x 640726
Total sieving time: 31.33 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.81 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,162.000,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 32.34 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10162+73

c99

name 名前Dmitry Domanov
date 日付January 27, 2010 15:50:41 UTC 2010 年 1 月 28 日 (木) 0 時 50 分 41 秒 (日本時間)
composite number 合成数
640835877171193505909570799186741751255898476078365195154001152660841248357234696382314248074725997<99>
prime factors 素因数
64013227739701992532121841487509355584105169<44>
10010991474715735934391435634543484973338925489091925213<56>
factorization results 素因数分解の結果
N=640835877171193505909570799186741751255898476078365195154001152660841248357234696382314248074725997
  ( 99 digits)
Divisors found:
 r1=64013227739701992532121841487509355584105169 (pp44)
 r2=10010991474715735934391435634543484973338925489091925213 (pp56)
Version: Msieve-1.40
Total time: 3.10 hours.
Scaled time: 5.92 units (timescale=1.911).
Factorization parameters were as follows:
name: g2
n: 640835877171193505909570799186741751255898476078365195154001152660841248357234696382314248074725997
skew: 4187.39
# norm 6.69e+013
c5: 162000
c4: 823591572
c3: -10480159036984
c2: -16372336581964691
c1: 33022341200042422698
c0: 62147399578411788653208
# alpha -6.66
Y1: 5123874679
Y0: -5241383400599410979
# Murphy_E 4.29e-009
# M 296066992739288474970292205831249542435822206451172388073266454078506277029283152309709397659000735
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 182036 x 182264
Polynomial selection time: 0.33 hours.
Total sieving time: 2.62 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,98,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 3.10 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 KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10163+73

c152

name 名前Sinkiti Sibata
date 日付February 2, 2010 05:10:38 UTC 2010 年 2 月 2 日 (火) 14 時 10 分 38 秒 (日本時間)
composite number 合成数
23938270396907606973567068908546020730970625664831475636434535793760783671495797992767247973116469560667053995562542887186575414169009338294612197060229<152>
prime factors 素因数
2668204985286856259004822153691874058165063675797887531576217<61>
8971675912798740829958365846478773732475105665742916772999469996628940017651778438964530637<91>
factorization results 素因数分解の結果
Number: 76669_163
N=23938270396907606973567068908546020730970625664831475636434535793760783671495797992767247973116469560667053995562542887186575414169009338294612197060229
  ( 152 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=2668204985286856259004822153691874058165063675797887531576217 (pp61)
 r2=8971675912798740829958365846478773732475105665742916772999469996628940017651778438964530637 (pp91)
Version: Msieve-1.40
Total time: 46.67 hours.
Scaled time: 151.53 units (timescale=3.247).
Factorization parameters were as follows:
name: 76669_163
n: 23938270396907606973567068908546020730970625664831475636434535793760783671495797992767247973116469560667053995562542887186575414169009338294612197060229
m: 100000000000000000000000000000000
deg: 5
c5: 23000
c0: 7
skew: 0.20
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 4100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 764734 x 764982
Total sieving time: 45.32 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.16 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 46.67 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10164+73

c132

name 名前Sinkiti Sibata
date 日付February 5, 2010 08:44:59 UTC 2010 年 2 月 5 日 (金) 17 時 44 分 59 秒 (日本時間)
composite number 合成数
947568244007872645118608259066265352411966464800579788291040219243809103248310229826918881764508708584975668513953734275371211437859<132>
prime factors 素因数
2197010151127183734091998078750992908476203004434274019000349<61>
431298983084679625560736513994687284558221968103065461660331574115708991<72>
factorization results 素因数分解の結果
Number: 76669_164
N=947568244007872645118608259066265352411966464800579788291040219243809103248310229826918881764508708584975668513953734275371211437859
  ( 132 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=2197010151127183734091998078750992908476203004434274019000349 (pp61)
 r2=431298983084679625560736513994687284558221968103065461660331574115708991 (pp72)
Version: Msieve-1.40
Total time: 41.46 hours.
Scaled time: 102.62 units (timescale=2.475).
Factorization parameters were as follows:
name: 76669_164
n: 947568244007872645118608259066265352411966464800579788291040219243809103248310229826918881764508708584975668513953734275371211437859
m: 100000000000000000000000000000000
deg: 5
c5: 230000
c0: 7
skew: 0.12
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2000000, 4000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 707467 x 707715
Total sieving time: 40.09 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.14 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 41.46 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10166+73

c147

name 名前Sinkiti Sibata
date 日付February 5, 2010 08:41:47 UTC 2010 年 2 月 5 日 (金) 17 時 41 分 47 秒 (日本時間)
composite number 合成数
376565818858582613184274310444594466782252476074989141586574238587392636331078418155283147655021872815979033106314800112290926820184932456764257479<147>
prime factors 素因数
1039891656293174816193578866528017173<37>
362120242603829564355041224515167353166773030566220361463654070056725212385091370325199414243912863290032412523<111>
factorization results 素因数分解の結果
Number: 76669_166
N=376565818858582613184274310444594466782252476074989141586574238587392636331078418155283147655021872815979033106314800112290926820184932456764257479
  ( 147 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=1039891656293174816193578866528017173 (pp37)
 r2=362120242603829564355041224515167353166773030566220361463654070056725212385091370325199414243912863290032412523 (pp111)
Version: Msieve-1.40
Total time: 45.29 hours.
Scaled time: 125.15 units (timescale=2.763).
Factorization parameters were as follows:
name: 76669_166
n: 376565818858582613184274310444594466782252476074989141586574238587392636331078418155283147655021872815979033106314800112290926820184932456764257479
m: 1000000000000000000000000000000000
deg: 5
c5: 230
c0: 7
skew: 0.50
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2150000, 4250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 736595 x 736843
Total sieving time: 43.81 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.16 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,167.000,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000
total time: 45.29 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10167+73

c129

name 名前Sinkiti Sibata
date 日付February 10, 2010 22:58:34 UTC 2010 年 2 月 11 日 (木) 7 時 58 分 34 秒 (日本時間)
composite number 合成数
385846045056454269995362955896565185571400219791251669650069385056968542566727212501938277184921464976522696652938583688227460007<129>
prime factors 素因数
31009516820624210487709856680655109307882381<44>
12442826738913609652566538960911061113363343817849229328026008594216850964081843750147<86>
factorization results 素因数分解の結果
Number: 76669_167
N=385846045056454269995362955896565185571400219791251669650069385056968542566727212501938277184921464976522696652938583688227460007
  ( 129 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=31009516820624210487709856680655109307882381 (pp44)
 r2=12442826738913609652566538960911061113363343817849229328026008594216850964081843750147 (pp86)
Version: Msieve-1.40
Total time: 68.03 hours.
Scaled time: 163.34 units (timescale=2.401).
Factorization parameters were as follows:
name: 76669_167
n: 385846045056454269995362955896565185571400219791251669650069385056968542566727212501938277184921464976522696652938583688227460007
m: 1000000000000000000000000000000000
deg: 5
c5: 2300
c0: 7
skew: 0.31
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2250000, 5250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 972345 x 972592
Total sieving time: 65.29 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.19 hours.
Time per square root: 0.43 hours.
Prototype def-par.txt line would be:
snfs,168.000,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.4,2.4,100000
total time: 68.03 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiFebruary 9, 2010 02:50:20 UTC 2010 年 2 月 9 日 (火) 11 時 50 分 20 秒 (日本時間)

23×10168+73

c124

name 名前Sinkiti Sibata
date 日付February 11, 2010 23:43:12 UTC 2010 年 2 月 12 日 (金) 8 時 43 分 12 秒 (日本時間)
composite number 合成数
1020337972122088153238112310791094787876560847803167419204294174823048526936257584451426747580465247976297044779063535153107<124>
prime factors 素因数
17360027425781902601497927750332024444984092449993<50>
58775135954379503034223379909569760637874721284534328034449223492041056699<74>
factorization results 素因数分解の結果
Number: 76669_168
N=1020337972122088153238112310791094787876560847803167419204294174823048526936257584451426747580465247976297044779063535153107
  ( 124 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=17360027425781902601497927750332024444984092449993 (pp50)
 r2=58775135954379503034223379909569760637874721284534328034449223492041056699 (pp74)
Version: Msieve v. 1.42
Total time: 3.68 hours.
Scaled time: 2.61 units (timescale=0.710).
Factorization parameters were as follows:
name: 76669_168
n: 1020337972122088153238112310791094787876560847803167419204294174823048526936257584451426747580465247976297044779063535153107
m: 1000000000000000000000000000000000
deg: 5
c5: 23000
c0: 7
skew: 0.20
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, 5450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 974581 x 974808
Total sieving time: 0.00 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.34 hours.
Time per square root: 0.21 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: 3.68 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.24 BogoMIPS (lpj=1860624)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860570)
Total of 2 processors activated (7442.38 BogoMIPS).

Total time 61 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10169+73

c118

name 名前Sinkiti Sibata
date 日付February 2, 2010 05:27:23 UTC 2010 年 2 月 2 日 (火) 14 時 27 分 23 秒 (日本時間)
composite number 合成数
1736420054037288919136694597018498244227517294852191524948510696165797675982799056891347154012096047003198097620900019<118>
prime factors 素因数
714508530635592657453271729243045371796007<42>
2430229982688453819042750524251722455075158464610175512010863989275011309717<76>
factorization results 素因数分解の結果
Number: 76669_169
N=1736420054037288919136694597018498244227517294852191524948510696165797675982799056891347154012096047003198097620900019
  ( 118 digits)
Divisors found:
 r1=714508530635592657453271729243045371796007 (pp42)
 r2=2430229982688453819042750524251722455075158464610175512010863989275011309717 (pp76)
Version: Msieve v. 1.42
Total time: 5.77 hours.
Scaled time: 4.59 units (timescale=0.796).
Factorization parameters were as follows:
name: 76669_169
n: 1736420054037288919136694597018498244227517294852191524948510696165797675982799056891347154012096047003198097620900019
skew: 21188.16
# norm 6.06e+15
c5: 56400
c4: -1773870173
c3: -272719280777362
c2: -489474311916792
c1: -367512953193189361206
c0: 11520952970823268273795005
# alpha -5.06
Y1: 3494013102547
Y0: -31453968045870711223526
# Murphy_E 4.25e-10
# M 803593698936569234825027352727318933036714800768029590192237139496671923487973948067088973687276688306675882044802268
type: gnfs
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1900000, 3200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 616563 x 616792
Polynomial selection time: 4.10 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.19 hours.
Time per square root: 0.38 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3800000,3800000,27,27,53,53,2.5,2.5,100000
total time: 5.77 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.24 BogoMIPS (lpj=1860624)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860570)
Total of 2 processors activated (7442.38 BogoMIPS).

Total time: 32 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 624Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
403e6100 / 2318Erik BrangerJanuary 30, 2010 12:06:46 UTC 2010 年 1 月 30 日 (土) 21 時 6 分 46 秒 (日本時間)

23×10170+73

c153

name 名前Serge Batalov
date 日付January 27, 2010 12:57:46 UTC 2010 年 1 月 27 日 (水) 21 時 57 分 46 秒 (日本時間)
composite number 合成数
697323763964407471750023705175241551906477731260954423495444797474787700088894163005536729893627650824794398657270050820935382381379256227303196010931759<153>
prime factors 素因数
1209324541599844464884722268112677<34>
composite cofactor 合成数の残り
576622519412283757791269346486990672928786735243713174030719275944853104108381052375750193739179757194474572362450211267<120>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2368373781
Step 1 took 5956ms
********** Factor found in step 1: 1209324541599844464884722268112677
Found probable prime factor of 34 digits: 1209324541599844464884722268112677
Composite cofactor has 120 digits

c120

name 名前Erik Branger
date 日付February 3, 2010 18:03:32 UTC 2010 年 2 月 4 日 (木) 3 時 3 分 32 秒 (日本時間)
composite number 合成数
576622519412283757791269346486990672928786735243713174030719275944853104108381052375750193739179757194474572362450211267<120>
prime factors 素因数
785772655682181510313407064347781985044118992990975757647<57>
733828691088364983881117474804037893698341654086395968799088461<63>
factorization results 素因数分解の結果
Number: 76669_170
N = 576622519412283757791269346486990672928786735243713174030719275944853104108381052375750193739179757194474572362450211267 (120 digits)
Divisors found:
r1=785772655682181510313407064347781985044118992990975757647 (pp57)
r2=733828691088364983881117474804037893698341654086395968799088461 (pp63)
Version: Msieve v. 1.43
Total time: 35.03 hours.
Factorization parameters were as follows:
n: 576622519412283757791269346486990672928786735243713174030719275944853104108381052375750193739179757194474572362450211267
Y0: -133813329592174385999268
Y1: 7097595166157
c0: -22491978209405324970325670881
c1: 2713541487479831182154168
c2: 30336022906457115726
c3: -1058182706649752
c4: -2657509133
c5: 13440
skew: 107907.44 
type: gnfs
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [2100000, 4000000)
Relations: 10605068
Relations in full relation-set: 1181814 relations
Pruned matrix : 683699 x 683925
Polynomial selection time: 4.28 hours.
Total sieving time: 28.10 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 1.30 hours.
time per square root: 1.14 hours.
Prototype def-par.txt line would be: gnfs,119,5,63,2000,2.6e-05,0.28,250,20,50000,3600,4200000,4200000,27,27,53,53,2.5,2.5,100000
total time: 35.03 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 KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
786Max DettweilerJanuary 29, 2010 22:33:19 UTC 2010 年 1 月 30 日 (土) 7 時 33 分 19 秒 (日本時間)
403e6100 / 2104Erik BrangerJanuary 30, 2010 12:07:13 UTC 2010 年 1 月 30 日 (土) 21 時 7 分 13 秒 (日本時間)

23×10171+73

c172

name 名前Dmitry Domanov
date 日付January 29, 2010 13:17:11 UTC 2010 年 1 月 29 日 (金) 22 時 17 分 11 秒 (日本時間)
composite number 合成数
7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669<172>
prime factors 素因数
4436750425986187465984025053041810725999564198504897886339790761662476741609117<79>
1727991419522440951229681184086417251986824633128847294984230317302823105140174764265280991057<94>
factorization results 素因数分解の結果
Number: s172
N=7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
  ( 172 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=4436750425986187465984025053041810725999564198504897886339790761662476741609117 (pp79)
 r2=1727991419522440951229681184086417251986824633128847294984230317302823105140174764265280991057 (pp94)
Version: Msieve-1.40
Total time: 57.10 hours.
Scaled time: 106.20 units (timescale=1.860).
Factorization parameters were as follows:
n: 7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
m: 10000000000000000000000000000000000
deg: 5
c5: 230
c0: 7
skew: 0.50
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 300000Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2600000, 5600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 951120 x 951354
Total sieving time: 55.42 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.13 hours.
Time per square root: 0.46 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 57.10 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 KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10172+73

c133

name 名前Sinkiti Sibata
date 日付September 13, 2010 07:20:24 UTC 2010 年 9 月 13 日 (月) 16 時 20 分 24 秒 (日本時間)
composite number 合成数
1105976713491954176783737460904268523246743344166668661111470777749679565321455482583035693587601083955798979021670275733464876569399<133>
prime factors 素因数
3152728082821405893817880155913037078093217<43>
350799905490804413389570390815128189697914244896886305623811619136166656654234174666674647<90>
factorization results 素因数分解の結果
Number: 76669_172
N=1105976713491954176783737460904268523246743344166668661111470777749679565321455482583035693587601083955798979021670275733464876569399
  ( 133 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=3152728082821405893817880155913037078093217 (pp43)
 r2=350799905490804413389570390815128189697914244896886305623811619136166656654234174666674647 (pp90)
Version: Msieve-1.40
Total time: 93.24 hours.
Scaled time: 313.00 units (timescale=3.357).
Factorization parameters were as follows:
name: 76669_172
n: 1105976713491954176783737460904268523246743344166668661111470777749679565321455482583035693587601083955798979021670275733464876569399
m: 10000000000000000000000000000000000
deg: 5
c5: 2300
c0: 7
skew: 0.31
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2700000, 7300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1088789 x 1089037
Total sieving time: 90.65 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.27 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 93.24 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
786Max DettweilerFebruary 3, 2010 05:31:35 UTC 2010 年 2 月 3 日 (水) 14 時 31 分 35 秒 (日本時間)
403e6378Ignacio SantosJuly 1, 2010 12:26:44 UTC 2010 年 7 月 1 日 (木) 21 時 26 分 44 秒 (日本時間)
4511e6500 / 4355Ignacio SantosJune 30, 2010 08:15:02 UTC 2010 年 6 月 30 日 (水) 17 時 15 分 2 秒 (日本時間)

23×10173+73

c169

name 名前Wataru Sakai
date 日付February 11, 2010 06:12:15 UTC 2010 年 2 月 11 日 (木) 15 時 12 分 15 秒 (日本時間)
composite number 合成数
3128498307210372468126723224475194408965460018471742179094286137896044081901365249456933500367938605261045979403599405313278298967459536955046199758697565348208662675791<169>
prime factors 素因数
16912803878196619535801733115179654337979616677<47>
184978098826269743148854774083645998783943366022575841578729416340725368596718634650124292611968201202286228033887434950883<123>
factorization results 素因数分解の結果
Number: 76669_173
N=3128498307210372468126723224475194408965460018471742179094286137896044081901365249456933500367938605261045979403599405313278298967459536955046199758697565348208662675791
  ( 169 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=16912803878196619535801733115179654337979616677
 r2=184978098826269743148854774083645998783943366022575841578729416340725368596718634650124292611968201202286228033887434950883
Version: 
Total time: 129.41 hours.
Scaled time: 260.76 units (timescale=2.015).
Factorization parameters were as follows:
n: 3128498307210372468126723224475194408965460018471742179094286137896044081901365249456933500367938605261045979403599405313278298967459536955046199758697565348208662675791
m: 10000000000000000000000000000000000
deg: 5
c5: 23000
c0: 7
skew: 0.20
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 7100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1062494 x 1062742
Total sieving time: 129.41 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 129.41 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
786Ignacio SantosFebruary 2, 2010 22:52:44 UTC 2010 年 2 月 3 日 (水) 7 時 52 分 44 秒 (日本時間)
403e62104Wataru SakaiFebruary 9, 2010 02:50:49 UTC 2010 年 2 月 9 日 (火) 11 時 50 分 49 秒 (日本時間)

23×10174+73

c175

name 名前Dmitry Domanov
date 日付January 27, 2010 11:23:10 UTC 2010 年 1 月 27 日 (水) 20 時 23 分 10 秒 (日本時間)
composite number 合成数
7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669<175>
prime factors 素因数
444240274512223391184189972397<30>
17257927987471825366538706665790826361418589218060299312867504255855684436901622976143431044197748470352927787618307769076413151724174827101509377<146>
factorization results 素因数分解の結果
Factor=444240274512223391184189972397  Method=ECM  B1=11000000  Sigma=3029882105
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10175+73

c171

name 名前Max Dettweiler
date 日付February 2, 2010 18:04:54 UTC 2010 年 2 月 3 日 (水) 3 時 4 分 54 秒 (日本時間)
composite number 合成数
115782516135300427942247680951712146542406856741285981304647459857446552525241847023105659600409366704874896991315807887608401380731675025660929391291040497200328419624029<171>
prime factors 素因数
4440951561689765651136230532563<31>
26071555730106997293577529687897893539754659993103253003784403244440623632809866944583700570028729845724645120395646201532888970765332455183<140>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 115782516135300427942247680951712146542406856741285981304647459857446552525241847023105659600409366704874896991315807887608401380731675025660929391291040497200328419624029 (171 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=492100966
Step 1 took 18594ms
Step 2 took 12062ms
********** Factor found in step 2: 4440951561689765651136230532563
Found probable prime factor of 31 digits: 4440951561689765651136230532563
Probable prime cofactor 26071555730106997293577529687897893539754659993103253003784403244440623632809866944583700570028729845724645120395646201532888970765332455183 has 140 digits
software ソフトウェア
GMP-ECM 6.2.3
execution environment 実行環境
Core 2 Duo 2.2Ghz, Windows XP 32-bit, Cygwin

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10176+73

c171

name 名前Max Dettweiler
date 日付February 2, 2010 18:03:13 UTC 2010 年 2 月 3 日 (水) 3 時 3 分 13 秒 (日本時間)
composite number 合成数
307009166092359302704764101498298168103002376117463308733890194567726422263343652845781420419286422599718913086105525991462742502202123355482042433205150332377466968817079<171>
prime factors 素因数
1702595068022887291832582921851<31>
composite cofactor 合成数の残り
180318369210871168555422749526645312317771464946620007145761328917246571053637898577255143859180717948942336209694187461044204373433243293429<141>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 307009166092359302704764101498298168103002376117463308733890194567726422263343652845781420419286422599718913086105525991462742502202123355482042433205150332377466968817079 (171 digits)
Run 24 out of 786:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=800075831
Step 1 took 18297ms
Step 2 took 12125ms
********** Factor found in step 2: 1702595068022887291832582921851
Found probable prime factor of 31 digits: 1702595068022887291832582921851
Composite cofactor 180318369210871168555422749526645312317771464946620007145761328917246571053637898577255143859180717948942336209694187461044204373433243293429 has 141 digits
software ソフトウェア
GMP-ECM 6.2.3
execution environment 実行環境
Core 2 Duo 2.2Ghz, Windows XP 32-bit, Cygwin

c141

name 名前Wataru Sakai
date 日付October 5, 2011 08:34:21 UTC 2011 年 10 月 5 日 (水) 17 時 34 分 21 秒 (日本時間)
composite number 合成数
180318369210871168555422749526645312317771464946620007145761328917246571053637898577255143859180717948942336209694187461044204373433243293429<141>
prime factors 素因数
775541024566754909318549027257813115394367541<45>
232506551554256579228130577364374044094712867300877841681744557534089315371022369803477325919169<96>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1024302797
Step 1 took 65667ms
Step 2 took 24287ms
********** Factor found in step 2: 775541024566754909318549027257813115394367541
Found probable prime factor of 45 digits: 775541024566754909318549027257813115394367541
Probable prime cofactor 232506551554256579228130577364374044094712867300877841681744557534089315371022369803477325919169 has 96 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
24Max DettweilerFebruary 3, 2010 14:46:55 UTC 2010 年 2 月 3 日 (水) 23 時 46 分 55 秒 (日本時間)
762Max DettweilerFebruary 4, 2010 04:55:05 UTC 2010 年 2 月 4 日 (木) 13 時 55 分 5 秒 (日本時間)
403e62104Wataru SakaiSeptember 29, 2011 04:28:36 UTC 2011 年 9 月 29 日 (木) 13 時 28 分 36 秒 (日本時間)

23×10177+73

c149

name 名前Erik Branger
date 日付June 12, 2013 09:21:25 UTC 2013 年 6 月 12 日 (水) 18 時 21 分 25 秒 (日本時間)
composite number 合成数
19864051897969862949487606121706579550800034826469998785440959600316535171466319349412734278137189321869534800741626016482052128667879944726462512097<149>
prime factors 素因数
4692914225820121476287131573904443796789569771<46>
4232775401834341631961826298221141840249628839441434753306080174321623926917987999509092164188445604707<103>
factorization results 素因数分解の結果
Number: 76669_177
N = 19864051897969862949487606121706579550800034826469998785440959600316535171466319349412734278137189321869534800741626016482052128667879944726462512097 (149 digits)
SNFS difficulty: 179 digits.
Divisors found:
r1=4692914225820121476287131573904443796789569771 (pp46)
r2=4232775401834341631961826298221141840249628839441434753306080174321623926917987999509092164188445604707 (pp103)
Version: Msieve v. 1.50 (SVN Official Release)
Total time: 76.27 hours.
Factorization parameters were as follows:
n: 19864051897969862949487606121706579550800034826469998785440959600316535171466319349412734278137189321869534800741626016482052128667879944726462512097
m: 100000000000000000000000000000000000
deg: 5
c5: 2300
c0: 7
skew: 0.31
# Murphy_E = 9.459e-11
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5

Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 18997177
Relations: 2629580 relations
Pruned matrix : 1540069 x 1540297
Polynomial selection time: 0.00 hours.
Total sieving time: 74.44 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.62 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: snfs,179,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time: 76.27 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 19, 2010 11:00:16 UTC 2010 年 10 月 19 日 (火) 20 時 0 分 16 秒 (日本時間)
403e62126110Ignacio SantosOctober 19, 2010 11:00:16 UTC 2010 年 10 月 19 日 (火) 20 時 0 分 16 秒 (日本時間)
2016Wataru SakaiJanuary 8, 2012 03:22:32 UTC 2012 年 1 月 8 日 (日) 12 時 22 分 32 秒 (日本時間)
4511e6100 / 392132Ignacio SantosOctober 19, 2010 11:00:16 UTC 2010 年 10 月 19 日 (火) 20 時 0 分 16 秒 (日本時間)
68Rich DickersonAugust 11, 2012 05:56:19 UTC 2012 年 8 月 11 日 (土) 14 時 56 分 19 秒 (日本時間)
5043e620 / 7448Rich DickersonAugust 11, 2012 05:59:13 UTC 2012 年 8 月 11 日 (土) 14 時 59 分 13 秒 (日本時間)

23×10178+73

c167

name 名前matsui
date 日付September 7, 2010 10:59:00 UTC 2010 年 9 月 7 日 (火) 19 時 59 分 0 秒 (日本時間)
composite number 合成数
50230810004241218195323779027003298549677399193581974067902792950054607821572928639402809629554001626573649710159351332220502095503594571987110033171589162064011933777<167>
prime factors 素因数
8778881230489999557458175554683553020714888264174847<52>
149870770902214941312523216976509015651681367999332097<54>
38178078515376194814112644470767216668558893366563074431670703<62>
factorization results 素因数分解の結果
N=50230810004241218195323779027003298549677399193581974067902792950054607821572928639402809629554001626573649710159351332220502095503594571987110033171589162064011933777
  ( 167 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=8778881230489999557458175554683553020714888264174847 (pp52)
 r2=149870770902214941312523216976509015651681367999332097 (pp54)
 r3=38178078515376194814112644470767216668558893366563074431670703 (pp62)
Version: Msieve v. 1.47
Total time:
Scaled time: 25.61 units (timescale=1.878).
Factorization parameters were as follows:
n: 50230810004241218195323779027003298549677399193581974067902792950054607821572928639402809629554001626573649710159351332220502095503594571987110033171589162064011933777
m: 100000000000000000000000000000000000
deg: 5
c5: 23000
c0: 7
skew: 0.20
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 320000
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, 9480001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1482965 x 1483192
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10180+73

c142

name 名前Ben Meekins
date 日付December 8, 2013 16:44:46 UTC 2013 年 12 月 9 日 (月) 1 時 44 分 46 秒 (日本時間)
composite number 合成数
3940285461374408192427453749587255267399413241102270077980443499011868752499341980791244599856037182845876298748599392311833727646370644826689<142>
prime factors 素因数
36926570913006886208356448945047778972399<41>
106705967111246059960007024134266207113174835803528927419314166467324572952745190789483667847892149711<102>
factorization results 素因数分解の結果
Number: 76669_180
N = 3940285461374408192427453749587255267399413241102270077980443499011868752499341980791244599856037182845876298748599392311833727646370644826689 (142 digits)
SNFS difficulty: 182 digits.
Divisors found:
r1=36926570913006886208356448945047778972399 (pp41)
r2=106705967111246059960007024134266207113174835803528927419314166467324572952745190789483667847892149711 (pp102)
Version: Msieve v. 1.52 (SVN 945M)
Total time: 73.90 hours.
Factorization parameters were as follows:
n: 3940285461374408192427453749587255267399413241102270077980443499011868752499341980791244599856037182845876298748599392311833727646370644826689
m: 1000000000000000000000000000000000000
deg: 5
c5: 23
c0: 7
skew: 0.79
# Murphy_E = 9.666e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19008022
Relations: 2651150 relations
Pruned matrix : 1565244 x 1565469
Polynomial selection time: 0.00 hours.
Total sieving time: 70.12 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 3.47 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: snfs,182,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,400000
total time: 73.90 hours.
x86 Family 16 Model 4 Stepping 3, AuthenticAMD
Windows-XP-5.1.2600-SP3
processors: 4, speed: 3.20GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 19, 2010 11:00:39 UTC 2010 年 10 月 19 日 (火) 20 時 0 分 39 秒 (日本時間)
403e6110Ignacio SantosOctober 19, 2010 11:00:39 UTC 2010 年 10 月 19 日 (火) 20 時 0 分 39 秒 (日本時間)
4511e61482 / 426132Ignacio SantosOctober 19, 2010 11:00:39 UTC 2010 年 10 月 19 日 (火) 20 時 0 分 39 秒 (日本時間)
600Rich DickersonJuly 11, 2012 14:26:27 UTC 2012 年 7 月 11 日 (水) 23 時 26 分 27 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:05:28 UTC 2013 年 11 月 9 日 (土) 2 時 5 分 28 秒 (日本時間)
5043e650 / 7214Rich DickersonJuly 11, 2012 14:26:27 UTC 2012 年 7 月 11 日 (水) 23 時 26 分 27 秒 (日本時間)

23×10182+73

c114

name 名前Erik Branger
date 日付January 28, 2010 11:19:25 UTC 2010 年 1 月 28 日 (木) 20 時 19 分 25 秒 (日本時間)
composite number 合成数
420456648317559148778516396596164573924772643285262092693588186325365058463044149138495261929136598636555735126179<114>
prime factors 素因数
1270790405418501958621333078058489<34>
84127964669093325055280378649999247<35>
3932845763179007411878043639623353263929725013<46>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 420456648317559148778516396596164573924772643285262092693588186325365058463044149138495261929136598636555735126179 (114 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1700831745
Step 1 took 32636ms
********** Factor found in step 1: 84127964669093325055280378649999247
Found probable prime factor of 35 digits: 84127964669093325055280378649999247
Composite cofactor 4997822661838688571284526957337408818168722444028016695938808181074865700285357 has 79 digits

01/28/10 12:12:18 v1.14 @ ERIK-DATOR, starting SIQS on c79: 4997822661838688571284526957337408818168722444028016695938808181074865700285357
01/28/10 12:12:18 v1.14 @ ERIK-DATOR, random seeds: 0, 3497454108
01/28/10 12:12:19 v1.14 @ ERIK-DATOR, ==== sieve params ====
01/28/10 12:12:19 v1.14 @ ERIK-DATOR, n = 79 digits, 263 bits
01/28/10 12:12:19 v1.14 @ ERIK-DATOR, factor base: 39961 primes (max prime = 1018301)
01/28/10 12:12:19 v1.14 @ ERIK-DATOR, single large prime cutoff: 86555585 (85 * pmax)
01/28/10 12:12:19 v1.14 @ ERIK-DATOR, allocating 11 large prime slices of factor base
01/28/10 12:12:19 v1.14 @ ERIK-DATOR, buckets hold 1024 elements
01/28/10 12:12:19 v1.14 @ ERIK-DATOR, sieve interval: 10 blocks of size 32768
01/28/10 12:12:19 v1.14 @ ERIK-DATOR, polynomial A has ~ 10 factors
01/28/10 12:12:19 v1.14 @ ERIK-DATOR, using multiplier of 2
01/28/10 12:12:19 v1.14 @ ERIK-DATOR, using small prime variation correction of 21 bits
01/28/10 12:12:19 v1.14 @ ERIK-DATOR, using SSE2 for trial division and x64 sieve scanning
01/28/10 12:12:19 v1.14 @ ERIK-DATOR, trial factoring cutoff at 91 bits
01/28/10 12:12:19 v1.14 @ ERIK-DATOR, ==== sieving started ( 2 threads) ====
01/28/10 12:17:18 v1.14 @ ERIK-DATOR, trial division touched 3713438 sieve locations out of 6852791500800
01/28/10 12:17:18 v1.14 @ ERIK-DATOR, 40247 relations found: 20141 full + 20106 from 210818 partial, using 10456530 polys (403 A polys)
01/28/10 12:17:18 v1.14 @ ERIK-DATOR, on average, sieving found 0.02 rels/poly and 770.73 rels/sec
01/28/10 12:17:18 v1.14 @ ERIK-DATOR, trial division touched 3713438 sieve locations out of 6852791500800
01/28/10 12:17:18 v1.14 @ ERIK-DATOR, ==== post processing stage (msieve-1.38) ====
01/28/10 12:17:18 v1.14 @ ERIK-DATOR, begin with 230959 relations
01/28/10 12:17:18 v1.14 @ ERIK-DATOR, reduce to 57711 relations in 2 passes
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, recovered 57711 relations
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, recovered 44316 polynomials
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, attempting to build 40247 cycles
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, found 40247 cycles in 1 passes
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, distribution of cycle lengths:
01/28/10 12:17:21 v1.14 @ ERIK-DATOR,    length 1 : 20141
01/28/10 12:17:21 v1.14 @ ERIK-DATOR,    length 2 : 20106
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, largest cycle: 2 relations
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, matrix is 39961 x 40247 (5.2 MB) with weight 1205638 (29.96/col)
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, sparse part has weight 1205638 (29.96/col)
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, filtering completed in 4 passes
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, matrix is 29768 x 29832 (4.2 MB) with weight 983181 (32.96/col)
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, sparse part has weight 983181 (32.96/col)
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, saving the first 48 matrix rows for later
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, matrix is 29720 x 29832 (3.5 MB) with weight 806258 (27.03/col)
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, sparse part has weight 732564 (24.56/col)
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, matrix includes 64 packed rows
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, commencing Lanczos iteration
01/28/10 12:17:21 v1.14 @ ERIK-DATOR, memory use: 4.6 MB
01/28/10 12:17:31 v1.14 @ ERIK-DATOR, lanczos halted after 471 iterations (dim = 29716)
01/28/10 12:17:31 v1.14 @ ERIK-DATOR, recovered 16 nontrivial dependencies
01/28/10 12:17:31 v1.14 @ ERIK-DATOR, prp34 = 1270790405418501958621333078058489
01/28/10 12:17:32 v1.14 @ ERIK-DATOR, prp46 = 3932845763179007411878043639623353263929725013
01/28/10 12:17:32 v1.14 @ ERIK-DATOR, Lanczos elapsed time = 13.3060 seconds.
01/28/10 12:17:32 v1.14 @ ERIK-DATOR, Sqrt elapsed time = 0.4080 seconds.
01/28/10 12:17:32 v1.14 @ ERIK-DATOR, SIQS elapsed time = 313.3780 seconds.
software ソフトウェア
GMP-ECM, YAFU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10184+73

c183

name 名前Ignacio Santos
date 日付March 7, 2010 12:44:14 UTC 2010 年 3 月 7 日 (日) 21 時 44 分 14 秒 (日本時間)
composite number 合成数
716510903426791277258566978193146417445482866043613707165109034267912772585669781931464174454828660436137071651090342679127725856697819314641744548286604361370716510903426791277258567<183>
prime factors 素因数
11449585687127452540919339545943989003363349307498553294033084555022857193<74>
62579635893056864953980738599546980637959518369918789868223700873390860418484565227969239310839929123911398319<110>
factorization results 素因数分解の結果
Number: 1
N=716510903426791277258566978193146417445482866043613707165109034267912772585669781931464174454828660436137071651090342679127725856697819314641744548286604361370716510903426791277258567
  ( 183 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=11449585687127452540919339545943989003363349307498553294033084555022857193 (pp74)
 r2=62579635893056864953980738599546980637959518369918789868223700873390860418484565227969239310839929123911398319 (pp110)
Version: Msieve-1.40
Total time: 207.01 hours.
Scaled time: 359.98 units (timescale=1.739).
Factorization parameters were as follows:
n: 716510903426791277258566978193146417445482866043613707165109034267912772585669781931464174454828660436137071651090342679127725856697819314641744548286604361370716510903426791277258567
m: 1000000000000000000000000000000000000
deg: 5
c5: 230000
c0: 7
skew: 0.12
type: snfs
lss: 1
rlim: 8600000
alim: 8600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8600000/8600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4300000, 7600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1744378 x 1744603
Total sieving time: 199.74 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 4.61 hours.
Time per square root: 2.44 hours.
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8600000,8600000,28,28,54,54,2.5,2.5,100000
total time: 207.01 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 KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
786Max DettweilerFebruary 2, 2010 06:19:45 UTC 2010 年 2 月 2 日 (火) 15 時 19 分 45 秒 (日本時間)

23×10187+73

c163

name 名前Wataru Sakai
date 日付February 6, 2010 08:41:29 UTC 2010 年 2 月 6 日 (土) 17 時 41 分 29 秒 (日本時間)
composite number 合成数
4417423213329080348136135067277257461273762184624557031099838028263427918487581513059646782139642117365475879827519682497546597597114281017552952511370460642737281<163>
prime factors 素因数
27257414417780016810839849228117<32>
composite cofactor 合成数の残り
162063178319936109317453633836551575302067932651317205161578645460122370961616301326444921357946142256923906655745581218025722247293<132>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3944798300
Step 1 took 17319ms
Step 2 took 7391ms
********** Factor found in step 2: 27257414417780016810839849228117
Found probable prime factor of 32 digits: 27257414417780016810839849228117
Composite cofactor 162063178319936109317453633836551575302067932651317205161578645460122370961616301326444921357946142256923906655745581218025722247293 has 132 digits
software ソフトウェア
GMP-ECM 6.2.1

c132

name 名前Warut Roonguthai
date 日付August 30, 2011 20:48:08 UTC 2011 年 8 月 31 日 (水) 5 時 48 分 8 秒 (日本時間)
composite number 合成数
162063178319936109317453633836551575302067932651317205161578645460122370961616301326444921357946142256923906655745581218025722247293<132>
prime factors 素因数
1219689620260440179528880321848361103135018417621244253179<58>
132872474790209970081277501196709800988906687454121162057987913003122721767<75>
factorization results 素因数分解の結果
N = 162063178319936109317453633836551575302067932651317205161578645460122370961616301326444921357946142256923906655745581218025722247293 (132 digits)
Divisors found:
r1=1219689620260440179528880321848361103135018417621244253179 (pp58)
r2=132872474790209970081277501196709800988906687454121162057987913003122721767 (pp75)
Version: Msieve v. 1.48
Total time: 50.36 hours.
Factorization parameters were as follows:
n: 162063178319936109317453633836551575302067932651317205161578645460122370961616301326444921357946142256923906655745581218025722247293
Y0: -32285631996933605311012137
Y1: 218558914362419
c0: -266831377875462421522875635349184
c1: 7030590766590953841766374776
c2: 8090363526531136112202
c3: -10623264150909701
c4: -6418874288
c5: 4620
skew: 1061062.66
type: gnfs
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20690036
Relations: 2677620 relations
Pruned matrix : 1539569 x 1539795
Polynomial selection time: 0.00 hours.
Total sieving time: 46.93 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.18 hours.
time per square root: 0.12 hours.
Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,8000000,8000000,28,28,55,55,2.5,2.5,100000
total time: 50.36 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
786Max DettweilerFebruary 9, 2010 18:05:03 UTC 2010 年 2 月 10 日 (水) 3 時 5 分 3 秒 (日本時間)
403e62104Wataru SakaiFebruary 16, 2010 13:02:41 UTC 2010 年 2 月 16 日 (火) 22 時 2 分 41 秒 (日本時間)
4511e63974Wataru SakaiJune 7, 2010 08:17:26 UTC 2010 年 6 月 7 日 (月) 17 時 17 分 26 秒 (日本時間)

23×10188+73

c176

name 名前Ignacio Santos
date 日付October 19, 2010 10:59:04 UTC 2010 年 10 月 19 日 (火) 19 時 59 分 4 秒 (日本時間)
composite number 合成数
16879177419281592575457892271302464928177131318324221300246816146906195085105679239948371453311146272508359632050297025214677040300317627010006888065263187383374466459664159419<176>
prime factors 素因数
754022491879250406002499658959479<33>
22385509187151188748934179261527218568946009687693222008251911550347771007150772409437811926094165327899982111468045835998211643317341969712861<143>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2825639589
Step 1 took 28501ms
Step 2 took 14649ms
********** Factor found in step 2: 754022491879250406002499658959479
Found probable prime factor of 33 digits: 754022491879250406002499658959479
Probable prime cofactor 22385509187151188748934179261527218568946009687693222008251911550347771007150772409437811926094165327899982111468045835998211643317341969712861 has 143 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10189+73

c135

name 名前Wataru Sakai
date 日付February 6, 2010 02:13:39 UTC 2010 年 2 月 6 日 (土) 11 時 13 分 39 秒 (日本時間)
composite number 合成数
218618185882906447533925712690865286930465228458082562343671749336110715606705753650188695624263111391906770999322024614563862229325737<135>
prime factors 素因数
324574029864132891542218374492256335827340413<45>
673554153344986666797212003045721618624363880705036218847024435960667707520369138341403549<90>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=316571083
Step 1 took 38162ms
Step 2 took 14296ms
********** Factor found in step 2: 324574029864132891542218374492256335827340413
Found probable prime factor of 45 digits: 324574029864132891542218374492256335827340413
Probable prime cofactor 673554153344986666797212003045721618624363880705036218847024435960667707520369138341403549 has 90 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10191+73

c176

composite cofactor 合成数の残り
31466303940749340076402187339894403123807455377092354286028796474982870076222938696868116689780807670695864667200647612076773566345996900059095778064343125211817465135183775619<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
786Wataru SakaiFebruary 6, 2010 09:56:10 UTC 2010 年 2 月 6 日 (土) 18 時 56 分 10 秒 (日本時間)
403e62318Wataru SakaiFebruary 7, 2010 05:25:16 UTC 2010 年 2 月 7 日 (日) 14 時 25 分 16 秒 (日本時間)
4511e6300 / 3926Serge BatalovMay 27, 2014 00:35:49 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 49 秒 (日本時間)

23×10195+73

c152

name 名前Wataru Sakai
date 日付February 5, 2010 04:03:12 UTC 2010 年 2 月 5 日 (金) 13 時 3 分 12 秒 (日本時間)
composite number 合成数
29792745782556081702125641218160980483857002021909136927457903905520331316164663789552230345013678668848274052021485108971191964756368360911598571685599<152>
prime factors 素因数
1298951649006484898198878468347388001<37>
22935992887297488717504462225537005569732700972221783975165750413401614491781210198427766051461210856598165562273599<116>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1218375904
Step 1 took 47068ms
Step 2 took 16456ms
********** Factor found in step 2: 1298951649006484898198878468347388001
Found probable prime factor of 37 digits: 1298951649006484898198878468347388001
Probable prime cofactor 22935992887297488717504462225537005569732700972221783975165750413401614491781210198427766051461210856598165562273599 has 116 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10196+73

c162

name 名前Wataru Sakai
date 日付February 6, 2010 04:15:31 UTC 2010 年 2 月 6 日 (土) 13 時 15 分 31 秒 (日本時間)
composite number 合成数
457249332964478661066946677015317189880441586886978647394219842139477293891379543386857353646702772547258139639831919796129273004537549554299862745490619897123993<162>
prime factors 素因数
5581272590362678208562936705386944903995511<43>
81925640713915751686561670205119964507254717069932131893962931705205966766908471905573215808423844731713655940811818863<119>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4187054742
Step 1 took 52074ms
Step 2 took 17724ms
********** Factor found in step 2: 5581272590362678208562936705386944903995511
Found probable prime factor of 43 digits: 5581272590362678208562936705386944903995511
Probable prime cofactor 81925640713915751686561670205119964507254717069932131893962931705205966766908471905573215808423844731713655940811818863 has 119 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10198+73

c192

name 名前Robert Backstrom
date 日付April 16, 2010 13:21:12 UTC 2010 年 4 月 16 日 (金) 22 時 21 分 12 秒 (日本時間)
composite number 合成数
353570037405096613704488407137927256531249496066617883225070956510408848253135731955541611573152849049682908398258400082360297060936765981876830003572133460514013048978781355071311156528975887<192>
prime factors 素因数
141122745745147314234758013452581874058100703525253048246636755252455693788887021<81>
2505407867018166848535065109444429977705308353756104414850079307550121862971787279231140670972774464862795427947<112>
factorization results 素因数分解の結果
Number: n
N=353570037405096613704488407137927256531249496066617883225070956510408848253135731955541611573152849049682908398258400082360297060936765981876830003572133460514013048978781355071311156528975887
  ( 192 digits)
SNFS difficulty: 199 digits.
Divisors found:

Fri Apr 16 23:13:53 2010  prp81 factor: 141122745745147314234758013452581874058100703525253048246636755252455693788887021
Fri Apr 16 23:13:53 2010  prp112 factor: 2505407867018166848535065109444429977705308353756104414850079307550121862971787279231140670972774464862795427947
Fri Apr 16 23:13:53 2010  elapsed time 06:50:47 (Msieve 1.42 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.075).
Factorization parameters were as follows:
name: KA_7_6_197_9
n: 353570037405096613704488407137927256531249496066617883225070956510408848253135731955541611573152849049682908398258400082360297060936765981876830003572133460514013048978781355071311156528975887
m: 1000000000000000000000000000000000000000
deg: 5
c5: 23000
c0: 7
skew: 0.20
type: snfs
lss: 1
rlim: 14800000
alim: 14800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 14800000/14800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 19700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4833014 hash collisions in 30920506 relations
Msieve: matrix is 2195741 x 2195968 (621.8 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,199,5,0,0,0,0,0,0,0,0,14800000,14800000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6060216k/7077888k available (3972k kernel code, 787972k absent, 229700k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.79 BogoMIPS (lpj=2798398)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44762.55 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)
786Max DettweilerFebruary 1, 2010 20:08:23 UTC 2010 年 2 月 2 日 (火) 5 時 8 分 23 秒 (日本時間)
403e60--
4511e63881 / 4439Wataru SakaiFebruary 19, 2010 09:30:35 UTC 2010 年 2 月 19 日 (金) 18 時 30 分 35 秒 (日本時間)

23×10199+73

c159

name 名前Wataru Sakai
date 日付February 5, 2010 04:02:30 UTC 2010 年 2 月 5 日 (金) 13 時 2 分 30 秒 (日本時間)
composite number 合成数
618326953906673831769802939242228131594978967113596023016585842809573194579708994557612314139522629499557433907748932980531377927761840509055971533485679698197<159>
prime factors 素因数
85370192468029174318437725063650061<35>
7242890475363927761886103214936408221934910821700052294897058412203109885095714819963995039627337352931255716708009565633577<124>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3816987400
Step 1 took 52344ms
********** Factor found in step 1: 85370192468029174318437725063650061
Found probable prime factor of 35 digits: 85370192468029174318437725063650061
Probable prime cofactor 7242890475363927761886103214936408221934910821700052294897058412203109885095714819963995039627337352931255716708009565633577 has 124 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 27, 2010 02:00:00 UTC 2010 年 1 月 27 日 (水) 11 時 0 分 0 秒 (日本時間)

23×10203+73

c162

composite cofactor 合成数の残り
529482020590468924700750373822226428839672587235549770952617974348887320249023316553813085454712818933577677553490783437566127027739590828403939818698994456563729<162>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 15, 2011 02:00:00 UTC 2011 年 12 月 15 日 (木) 11 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovJanuary 21, 2012 22:11:05 UTC 2012 年 1 月 22 日 (日) 7 時 11 分 5 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:39 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 39 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:25 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 25 秒 (日本時間)
4511e6122 / 4055CypMay 11, 2015 06:03:32 UTC 2015 年 5 月 11 日 (月) 15 時 3 分 32 秒 (日本時間)

23×10204+73

c168

composite cofactor 合成数の残り
245572666508199119334654979882933531309251145807675504278075950016287579901449673888567742457149464852774447989863730729321431009510940950751701242291485603153210328307<168>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 15, 2011 02:00:00 UTC 2011 年 12 月 15 日 (木) 11 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovJanuary 21, 2012 22:11:16 UTC 2012 年 1 月 22 日 (日) 7 時 11 分 16 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:40 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 40 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:25 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 25 秒 (日本時間)
4511e6122 / 4055KTakahashiMay 23, 2015 11:43:27 UTC 2015 年 5 月 23 日 (土) 20 時 43 分 27 秒 (日本時間)

23×10205+73

c187

name 名前Serge Batalov
date 日付December 16, 2011 00:11:51 UTC 2011 年 12 月 16 日 (金) 9 時 11 分 51 秒 (日本時間)
composite number 合成数
2109146708139281846754744102759190524064571985907889495713929150861264154657213178398949601214213125902922664501324960334576907993876086098914594613929796646060947070813314652514403077583<187>
prime factors 素因数
91925606635330765301090869686819637<35>
composite cofactor 合成数の残り
22944060804583808092206110440275828754916165170548014508147518173503096387349504969763269731059378184206734076209193778317698946708334885128914127987059<152>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3221016925
Step 1 took 4628ms
Step 2 took 3220ms
********** Factor found in step 2: 91925606635330765301090869686819637
Found probable prime factor of 35 digits: 91925606635330765301090869686819637
Composite cofactor 229440608045... has 152 digits

c152

name 名前Serge Batalov
date 日付December 17, 2011 19:44:48 UTC 2011 年 12 月 18 日 (日) 4 時 44 分 48 秒 (日本時間)
composite number 合成数
22944060804583808092206110440275828754916165170548014508147518173503096387349504969763269731059378184206734076209193778317698946708334885128914127987059<152>
prime factors 素因数
1878218266815415824663785777089<31>
composite cofactor 合成数の残り
12215865008855578051347017684058058392209097675876619639695829474756408672902101055902755812781549278705321217184497415731<122>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=926187836
Step 1 took 9237ms
Step 2 took 4256ms
********** Factor found in step 2: 1878218266815415824663785777089
Found probable prime factor of 31 digits: 1878218266815415824663785777089
Composite cofactor 122158650088... has 122 digits

c122

name 名前Warut Roonguthai
date 日付December 19, 2011 11:35:53 UTC 2011 年 12 月 19 日 (月) 20 時 35 分 53 秒 (日本時間)
composite number 合成数
12215865008855578051347017684058058392209097675876619639695829474756408672902101055902755812781549278705321217184497415731<122>
prime factors 素因数
275065906420485244591770959246283163199586216010150402331<57>
44410683853278205946808682541681830848810651886409347786771251401<65>
factorization results 素因数分解の結果
N = 12215865008855578051347017684058058392209097675876619639695829474756408672902101055902755812781549278705321217184497415731 (122 digits)
Divisors found:
r1=275065906420485244591770959246283163199586216010150402331 (pp57)
r2=44410683853278205946808682541681830848810651886409347786771251401 (pp65)
Version: Msieve v. 1.48
Total time: 17.49 hours.
Factorization parameters were as follows:
n: 12215865008855578051347017684058058392209097675876619639695829474756408672902101055902755812781549278705321217184497415731
Y0: -280142799546042459320491
Y1: 10269905008637
c0: 189087048425979047753579079000
c1: 15666615192868279699210470
c2: 32901095418087903819
c3: -862988762532718
c4: -2825801972
c5: 7080
skew: 194854.99 
type: gnfs
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10696202
Relations: 1473076 relations
Pruned matrix : 834258 x 834484
Polynomial selection time: 0.00 hours.
Total sieving time: 16.53 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.81 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: gnfs,121,5,65,2000,1e-05,0.28,250,20,50000,3600,4700000,4700000,27,27,53,53,2.5,2.5,100000
total time: 17.49 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 15, 2011 02:00:00 UTC 2011 年 12 月 15 日 (木) 11 時 0 分 0 秒 (日本時間)

23×10207+73

c179

composite cofactor 合成数の残り
64453042291865946097649108086296869192614067194951223762202608042717604587088196896681691783066910160374730111576818113288665213706814411231707585995199560068491455777838008575077<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 15, 2011 02:00:00 UTC 2011 年 12 月 15 日 (木) 11 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovJanuary 21, 2012 22:11:29 UTC 2012 年 1 月 22 日 (日) 7 時 11 分 29 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:41 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 41 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:26 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 26 秒 (日本時間)
4511e6122 / 4055CypMay 21, 2015 20:53:38 UTC 2015 年 5 月 22 日 (金) 5 時 53 分 38 秒 (日本時間)

23×10208+73

c194

composite cofactor 合成数の残り
18462486268540803382871687743110642829119683764531937308145592256886495999067632191028979540259308095055626390943421886391941512773675878143425269523205693420901527034159883344605886702607068179<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 15, 2011 02:00:00 UTC 2011 年 12 月 15 日 (木) 11 時 0 分 0 秒 (日本時間)
403e6600300Dmitry DomanovJanuary 21, 2012 22:11:40 UTC 2012 年 1 月 22 日 (日) 7 時 11 分 40 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:41 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 41 秒 (日本時間)
4511e6798 / 4342498CypFebruary 15, 2014 13:05:15 UTC 2014 年 2 月 15 日 (土) 22 時 5 分 15 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:49 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 49 秒 (日本時間)

23×10210+73

c146

name 名前Serge Batalov
date 日付December 16, 2011 00:12:15 UTC 2011 年 12 月 16 日 (金) 9 時 12 分 15 秒 (日本時間)
composite number 合成数
63814783953550325799237914097354913856843077687401176922222917096494389327571813120507557933917011353792509775976399837134685655358742695275327839<146>
prime factors 素因数
8908312667595315869249124833233<31>
composite cofactor 合成数の残り
7163509671778988402687627924962131737320236908149303449797970674380065041392501185804831593178012267616639495041583<115>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=507405060
Step 1 took 3169ms
Step 2 took 2600ms
********** Factor found in step 2: 8908312667595315869249124833233
Found probable prime factor of 31 digits: 8908312667595315869249124833233
Composite cofactor 716350967177... has 115 digits

c115

name 名前Warut Roonguthai
date 日付December 17, 2011 10:29:57 UTC 2011 年 12 月 17 日 (土) 19 時 29 分 57 秒 (日本時間)
composite number 合成数
7163509671778988402687627924962131737320236908149303449797970674380065041392501185804831593178012267616639495041583<115>
prime factors 素因数
35320451752857003816465801177133375711154029<44>
202814780566886316808571388418715663791425425669076122822899703788313227<72>
factorization results 素因数分解の結果
N = 7163509671778988402687627924962131737320236908149303449797970674380065041392501185804831593178012267616639495041583 (115 digits)
Divisors found:
r1=35320451752857003816465801177133375711154029 (pp44)
r2=202814780566886316808571388418715663791425425669076122822899703788313227 (pp72)
Version: Msieve v. 1.48
Total time: 8.64 hours.
Factorization parameters were as follows:
n: 7163509671778988402687627924962131737320236908149303449797970674380065041392501185804831593178012267616639495041583
Y0: -13969854456621802786862
Y1: 1568501474533
c0: 4745388217729795992644274675
c1: -74851798947500550757230
c2: 1886421476288954561
c3: -268212775184474
c4: -2114700660
c5: 13464
skew: 75422.08  
type: gnfs
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 8684824
Relations: 641188 relations
Pruned matrix : 406893 x 407120
Polynomial selection time: 0.00 hours.
Total sieving time: 8.35 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.19 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: gnfs,114,5,61,2000,0.00016,0.25,250,15,50000,2800,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 8.64 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 15, 2011 02:00:00 UTC 2011 年 12 月 15 日 (木) 11 時 0 分 0 秒 (日本時間)

23×10212+73

c185

composite cofactor 合成数の残り
53043340842963579154185495855204380659679336626589303678444818947415719636773486449183316699687853478349419790379284251685014289956026295899782636337658633684596360251784047172290499073<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 15, 2011 02:00:00 UTC 2011 年 12 月 15 日 (木) 11 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovJanuary 21, 2012 22:11:53 UTC 2012 年 1 月 22 日 (日) 7 時 11 分 53 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:42 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 42 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:26 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 26 秒 (日本時間)
4511e60 / 3892--
5043e638 / 7471CypJanuary 25, 2014 04:28:56 UTC 2014 年 1 月 25 日 (土) 13 時 28 分 56 秒 (日本時間)
5511e74 / 17741KTakahashiSeptember 14, 2014 11:37:47 UTC 2014 年 9 月 14 日 (日) 20 時 37 分 47 秒 (日本時間)

23×10213+73

c197

name 名前Serge Batalov
date 日付January 9, 2014 09:40:55 UTC 2014 年 1 月 9 日 (木) 18 時 40 分 55 秒 (日本時間)
composite number 合成数
20799205548583501912390916788912443157286373759933594908173210464789787245215861221723758113351459079191314811733969905197060292038061878854299189369112931756948296451737931116173177984028405752417<197>
prime factors 素因数
9464858146995774723889556925252986929<37>
composite cofactor 合成数の残り
2197518993476446767173751888925965129779805903583825464366001588725493809530076094432257031947741417579409053380271992445710520692481963507333016630949691015473<160>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=337032821
Step 1 took 16214ms
Step 2 took 5754ms
********** Factor found in step 2: 9464858146995774723889556925252986929
Found probable prime factor of 37 digits: 9464858146995774723889556925252986929
Composite cofactor 

c160

name 名前Serge Batalov
date 日付May 26, 2014 18:24:37 UTC 2014 年 5 月 27 日 (火) 3 時 24 分 37 秒 (日本時間)
composite number 合成数
2197518993476446767173751888925965129779805903583825464366001588725493809530076094432257031947741417579409053380271992445710520692481963507333016630949691015473<160>
prime factors 素因数
82497405397689862210573514594719260233<38>
26637431600218337345754627653911646000408470194842479756147811441665744235981101804076998413358558265442741282772694330281<122>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=199351530
Step 1 took 11004ms
Step 2 took 4571ms
********** Factor found in step 2: 82497405397689862210573514594719260233
Found probable prime factor of 38 digits: 82497405397689862210573514594719260233
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 15, 2011 02:00:00 UTC 2011 年 12 月 15 日 (木) 11 時 0 分 0 秒 (日本時間)
403e61900 / 2318300Dmitry DomanovJanuary 21, 2012 22:12:02 UTC 2012 年 1 月 22 日 (日) 7 時 12 分 2 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:43 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 43 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:26 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 26 秒 (日本時間)

23×10214+73

c209

composite cofactor 合成数の残り
62733392084518789878321767205110098466877723617949278143222516159985424032726101373343054281567647462338826323695029524243592124940914691042135291924384987735621847476576578788094511400975749725405032690916123<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6398118Makoto KamadaDecember 15, 2011 02:00:00 UTC 2011 年 12 月 15 日 (木) 11 時 0 分 0 秒 (日本時間)
280Serge BatalovDecember 15, 2011 18:49:08 UTC 2011 年 12 月 16 日 (金) 3 時 49 分 8 秒 (日本時間)
403e62242Wataru SakaiDecember 18, 2011 05:51:08 UTC 2011 年 12 月 18 日 (日) 14 時 51 分 8 秒 (日本時間)
4511e64000Wataru SakaiDecember 20, 2011 07:07:25 UTC 2011 年 12 月 20 日 (火) 16 時 7 分 25 秒 (日本時間)

23×10215+73

c155

name 名前Serge Batalov
date 日付May 26, 2014 18:12:21 UTC 2014 年 5 月 27 日 (火) 3 時 12 分 21 秒 (日本時間)
composite number 合成数
18882610539261274958098170465794089186424610762597661529075116102625323761988526181416028045896583743280636605638217032999078111354137218371310526493248913<155>
prime factors 素因数
84918344247410758316760208908502678259<38>
222361972629218142655874588659125649361279213726620463120176620633416138699699052518463709310838468221803032749452907<117>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2651533628
Step 1 took 12794ms
Step 2 took 5462ms
********** Factor found in step 2: 84918344247410758316760208908502678259
Found probable prime factor of 38 digits: 84918344247410758316760208908502678259
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 15, 2011 02:00:00 UTC 2011 年 12 月 15 日 (木) 11 時 0 分 0 秒 (日本時間)
403e61900 / 2318300Dmitry DomanovJanuary 21, 2012 22:12:20 UTC 2012 年 1 月 22 日 (日) 7 時 12 分 20 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:43 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 43 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:27 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 27 秒 (日本時間)

23×10217+73

c185

name 名前Dmitry Domanov
date 日付January 22, 2012 08:38:44 UTC 2012 年 1 月 22 日 (日) 17 時 38 分 44 秒 (日本時間)
composite number 合成数
75071843704533304211435696270422792954154380993622793674926237121408722210519457780648615569310038564607544285722218900005979083506276574905625912960773264512998494146175389412158365499<185>
prime factors 素因数
1908113392980455355425643899257<31>
composite cofactor 合成数の残り
39343491838958157124439938011877937103030989138892735213866425890056535027978436529269012276906275142227761166501069801400692681156625296211004012749985107<155>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2707382240
Step 1 took 68412ms
********** Factor found in step 1: 1908113392980455355425643899257
Found probable prime factor of 31 digits: 1908113392980455355425643899257

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 15, 2011 02:00:00 UTC 2011 年 12 月 15 日 (木) 11 時 0 分 0 秒 (日本時間)
403e6600300Dmitry DomanovJanuary 21, 2012 22:12:35 UTC 2012 年 1 月 22 日 (日) 7 時 12 分 35 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:44 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 44 秒 (日本時間)
4511e6798 / 4342498CypFebruary 18, 2014 19:41:45 UTC 2014 年 2 月 19 日 (水) 4 時 41 分 45 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:50 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 50 秒 (日本時間)

23×10219+73

c183

name 名前Dmitry Domanov
date 日付January 24, 2012 06:37:49 UTC 2012 年 1 月 24 日 (火) 15 時 37 分 49 秒 (日本時間)
composite number 合成数
148902865088725671864578969687848180624869229814402110936378397414944624634922934570691774491649430310673222480455113784131071081381920362631661589965019892467425852634242178814748003<183>
prime factors 素因数
18499371814243608120619485842627881<35>
62588152182939087360522278707137569<35>
46604276054080550060235323113391925038853473<44>
2759485885432517688240180735114899364183586508571351171136363403405099<70>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=564129433
Step 1 took 70578ms
Step 2 took 26139ms
********** Factor found in step 2: 18499371814243608120619485842627881
Found probable prime factor of 35 digits: 18499371814243608120619485842627881

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=329897346
Step 1 took 48272ms
Step 2 took 20790ms
********** Factor found in step 2: 62588152182939087360522278707137569
Found probable prime factor of 35 digits: 62588152182939087360522278707137569

Mon Jan 23 19:51:43 2012  commencing relation filtering
Mon Jan 23 19:51:43 2012  estimated available RAM is 2006.1 MB
Mon Jan 23 19:51:43 2012  commencing duplicate removal, pass 1
Mon Jan 23 19:54:55 2012  found 1029133 hash collisions in 12067604 relations
Mon Jan 23 19:55:40 2012  added 63055 free relations
Mon Jan 23 19:55:40 2012  commencing duplicate removal, pass 2
Mon Jan 23 19:55:50 2012  found 626424 duplicates and 11504235 unique relations
Mon Jan 23 19:55:50 2012  memory use: 49.3 MB
Mon Jan 23 19:55:51 2012  reading ideals above 720000
Mon Jan 23 19:55:51 2012  commencing singleton removal, initial pass
Mon Jan 23 19:59:41 2012  memory use: 344.5 MB
Mon Jan 23 19:59:41 2012  reading all ideals from disk
Mon Jan 23 19:59:42 2012  memory use: 316.7 MB
Mon Jan 23 19:59:46 2012  keeping 11195592 ideals with weight <= 200, target excess is 121443
Mon Jan 23 19:59:49 2012  commencing in-memory singleton removal
Mon Jan 23 19:59:52 2012  begin with 11504235 relations and 11195592 unique ideals
Mon Jan 23 20:00:20 2012  reduce to 5823643 relations and 4669811 ideals in 14 passes
Mon Jan 23 20:00:20 2012  max relations containing the same ideal: 126
Mon Jan 23 20:00:29 2012  removing 1687104 relations and 1287104 ideals in 400000 cliques
Mon Jan 23 20:00:30 2012  commencing in-memory singleton removal
Mon Jan 23 20:00:31 2012  begin with 4136539 relations and 4669811 unique ideals
Mon Jan 23 20:00:41 2012  reduce to 3875422 relations and 3100382 ideals in 9 passes
Mon Jan 23 20:00:41 2012  max relations containing the same ideal: 97
Mon Jan 23 20:00:47 2012  removing 1240335 relations and 840335 ideals in 400000 cliques
Mon Jan 23 20:00:48 2012  commencing in-memory singleton removal
Mon Jan 23 20:00:48 2012  begin with 2635087 relations and 3100382 unique ideals
Mon Jan 23 20:00:54 2012  reduce to 2398020 relations and 1997529 ideals in 8 passes
Mon Jan 23 20:00:54 2012  max relations containing the same ideal: 65
Mon Jan 23 20:00:57 2012  removing 790903 relations and 531286 ideals in 259617 cliques
Mon Jan 23 20:00:58 2012  commencing in-memory singleton removal
Mon Jan 23 20:00:58 2012  begin with 1607117 relations and 1997529 unique ideals
Mon Jan 23 20:01:02 2012  reduce to 1434117 relations and 1273300 ideals in 10 passes
Mon Jan 23 20:01:02 2012  max relations containing the same ideal: 45
Mon Jan 23 20:01:04 2012  removing 115105 relations and 95162 ideals in 19943 cliques
Mon Jan 23 20:01:04 2012  commencing in-memory singleton removal
Mon Jan 23 20:01:04 2012  begin with 1319012 relations and 1273300 unique ideals
Mon Jan 23 20:01:07 2012  reduce to 1313495 relations and 1172537 ideals in 7 passes
Mon Jan 23 20:01:07 2012  max relations containing the same ideal: 44
Mon Jan 23 20:01:07 2012  relations with 0 large ideals: 1054
Mon Jan 23 20:01:07 2012  relations with 1 large ideals: 10902
Mon Jan 23 20:01:07 2012  relations with 2 large ideals: 70828
Mon Jan 23 20:01:07 2012  relations with 3 large ideals: 221693
Mon Jan 23 20:01:07 2012  relations with 4 large ideals: 373437
Mon Jan 23 20:01:07 2012  relations with 5 large ideals: 355148
Mon Jan 23 20:01:07 2012  relations with 6 large ideals: 201630
Mon Jan 23 20:01:07 2012  relations with 7+ large ideals: 78803
Mon Jan 23 20:01:07 2012  commencing 2-way merge
Mon Jan 23 20:01:09 2012  reduce to 840506 relation sets and 699548 unique ideals
Mon Jan 23 20:01:09 2012  commencing full merge
Mon Jan 23 20:01:33 2012  memory use: 76.4 MB
Mon Jan 23 20:01:33 2012  found 412626 cycles, need 393748
Mon Jan 23 20:01:33 2012  weight of 393748 cycles is about 27785381 (70.57/cycle)
Mon Jan 23 20:01:33 2012  distribution of cycle lengths:
Mon Jan 23 20:01:33 2012  1 relations: 38046
Mon Jan 23 20:01:33 2012  2 relations: 39042
Mon Jan 23 20:01:33 2012  3 relations: 42104
Mon Jan 23 20:01:33 2012  4 relations: 40887
Mon Jan 23 20:01:33 2012  5 relations: 39230
Mon Jan 23 20:01:33 2012  6 relations: 35460
Mon Jan 23 20:01:33 2012  7 relations: 32019
Mon Jan 23 20:01:33 2012  8 relations: 27359
Mon Jan 23 20:01:33 2012  9 relations: 23610
Mon Jan 23 20:01:33 2012  10+ relations: 75991
Mon Jan 23 20:01:33 2012  heaviest cycle: 17 relations
Mon Jan 23 20:01:34 2012  commencing cycle optimization
Mon Jan 23 20:01:35 2012  start with 2380629 relations
Mon Jan 23 20:01:44 2012  pruned 75855 relations
Mon Jan 23 20:01:44 2012  memory use: 75.7 MB
Mon Jan 23 20:01:44 2012  distribution of cycle lengths:
Mon Jan 23 20:01:44 2012  1 relations: 38046
Mon Jan 23 20:01:44 2012  2 relations: 40031
Mon Jan 23 20:01:44 2012  3 relations: 43948
Mon Jan 23 20:01:44 2012  4 relations: 42331
Mon Jan 23 20:01:44 2012  5 relations: 40931
Mon Jan 23 20:01:44 2012  6 relations: 36580
Mon Jan 23 20:01:44 2012  7 relations: 32845
Mon Jan 23 20:01:44 2012  8 relations: 27694
Mon Jan 23 20:01:44 2012  9 relations: 23746
Mon Jan 23 20:01:44 2012  10+ relations: 67596
Mon Jan 23 20:01:44 2012  heaviest cycle: 17 relations
Mon Jan 23 20:01:46 2012  RelProcTime: 603
Mon Jan 23 20:01:46 2012
Mon Jan 23 20:01:46 2012  commencing linear algebra
Mon Jan 23 20:01:46 2012  read 393748 cycles
Mon Jan 23 20:01:47 2012  cycles contain 1231587 unique relations
Mon Jan 23 20:02:12 2012  read 1231587 relations
Mon Jan 23 20:02:15 2012  using 20 quadratic characters above 134217258
Mon Jan 23 20:02:34 2012  building initial matrix
Mon Jan 23 20:03:05 2012  memory use: 157.8 MB
Mon Jan 23 20:03:06 2012  read 393748 cycles
Mon Jan 23 20:03:06 2012  matrix is 393559 x 393748 (117.1 MB) with weight 37105301 (94.24/col)
Mon Jan 23 20:03:06 2012  sparse part has weight 26374502 (66.98/col)
Mon Jan 23 20:03:18 2012  filtering completed in 2 passes
Mon Jan 23 20:03:18 2012  matrix is 392979 x 393167 (117.1 MB) with weight 37074727 (94.30/col)
Mon Jan 23 20:03:18 2012  sparse part has weight 26360194 (67.05/col)
Mon Jan 23 20:03:21 2012  matrix starts at (0, 0)
Mon Jan 23 20:03:21 2012  matrix is 392979 x 393167 (117.1 MB) with weight 37074727 (94.30/col)
Mon Jan 23 20:03:21 2012  sparse part has weight 26360194 (67.05/col)
Mon Jan 23 20:03:21 2012  saving the first 48 matrix rows for later
Mon Jan 23 20:03:21 2012  matrix includes 64 packed rows
Mon Jan 23 20:03:21 2012  matrix is 392931 x 393167 (112.9 MB) with weight 29457101 (74.92/col)
Mon Jan 23 20:03:21 2012  sparse part has weight 25651826 (65.24/col)
Mon Jan 23 20:03:21 2012  using block size 65536 for processor cache size 2048 kB
Mon Jan 23 20:03:25 2012  commencing Lanczos iteration (8 threads)
Mon Jan 23 20:03:25 2012  memory use: 107.2 MB
Mon Jan 23 20:04:00 2012  linear algebra at 3.1%, ETA 0h18m
Mon Jan 23 20:22:13 2012  lanczos halted after 6216 iterations (dim = 392929)
Mon Jan 23 20:22:14 2012  recovered 29 nontrivial dependencies
Mon Jan 23 20:22:14 2012  BLanczosTime: 1228
Mon Jan 23 20:22:14 2012
Mon Jan 23 20:22:14 2012  commencing square root phase
Mon Jan 23 20:22:14 2012  reading relations for dependency 1
Mon Jan 23 20:22:14 2012  read 196772 cycles
Mon Jan 23 20:22:15 2012  cycles contain 615568 unique relations
Mon Jan 23 20:22:29 2012  read 615568 relations
Mon Jan 23 20:22:36 2012  multiplying 615568 relations
Mon Jan 23 20:23:47 2012  multiply complete, coefficients have about 25.35 million bits
Mon Jan 23 20:23:54 2012  initial square root is modulo 19051691
Mon Jan 23 20:25:29 2012  GCD is 1, no factor found
Mon Jan 23 20:25:29 2012  reading relations for dependency 2
Mon Jan 23 20:25:30 2012  read 196732 cycles
Mon Jan 23 20:25:30 2012  cycles contain 615956 unique relations
Mon Jan 23 20:25:45 2012  read 615956 relations
Mon Jan 23 20:25:51 2012  multiplying 615956 relations
Mon Jan 23 20:27:02 2012  multiply complete, coefficients have about 25.36 million bits
Mon Jan 23 20:27:03 2012  initial square root is modulo 19234687
Mon Jan 23 20:28:38 2012  GCD is 1, no factor found
Mon Jan 23 20:28:38 2012  reading relations for dependency 3
Mon Jan 23 20:28:39 2012  read 196381 cycles
Mon Jan 23 20:28:39 2012  cycles contain 614886 unique relations
Mon Jan 23 20:28:54 2012  read 614886 relations
Mon Jan 23 20:29:00 2012  multiplying 614886 relations
Mon Jan 23 20:30:11 2012  multiply complete, coefficients have about 25.32 million bits
Mon Jan 23 20:30:12 2012  initial square root is modulo 18715831
Mon Jan 23 20:31:48 2012  sqrtTime: 574

nfs: commencing gnfs on c114: 128603841972035948285273405669807282256153287892695055567429478701986659754129407974033383224897805237963122058827
nfs: commencing poly selection with 8 threads
nfs: setting deadline of 725 seconds
nfs: completed 94 ranges of size 250 in 724.0942 seconds
nfs: best poly = # norm 8.138636e-11 alpha -7.031626 e 6.647e-10 rroots 3
commencing lattice sieving with 8 threads
commencing lattice sieving with 8 threads
commencing msieve filtering
commencing msieve linear algebra
commencing msieve sqrt
prp44 = 46604276054080550060235323113391925038853473
prp70 = 2759485885432517688240180735114899364183586508571351171136363403405099
NFS elapsed time = 34053.8467 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 15, 2011 02:00:00 UTC 2011 年 12 月 15 日 (木) 11 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovJanuary 23, 2012 07:03:11 UTC 2012 年 1 月 23 日 (月) 16 時 3 分 11 秒 (日本時間)

23×10220+73

c171

composite cofactor 合成数の残り
810385197122106482272598878211620938300919675236552101830140120969237397147075400413296237240560917482841925270184244647609965776265185048153535563741394832761510546244899<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 15, 2011 02:00:00 UTC 2011 年 12 月 15 日 (木) 11 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovJanuary 22, 2012 19:50:29 UTC 2012 年 1 月 23 日 (月) 4 時 50 分 29 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:45 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 45 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:27 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 27 秒 (日本時間)
4511e6150 / 4055Youcef LemsaferNovember 7, 2014 07:47:16 UTC 2014 年 11 月 7 日 (金) 16 時 47 分 16 秒 (日本時間)

23×10221+73

c200

name 名前Dmitry Domanov
date 日付January 23, 2012 07:05:12 UTC 2012 年 1 月 23 日 (月) 16 時 5 分 12 秒 (日本時間)
composite number 合成数
32431383921288207301723221471233120628672980620545019736825243733341334510043543111017418790029639613080731092357630024874532388128191064922791115288189869869506155488817144189496744454351727573917991<200>
prime factors 素因数
3051453696179171682420786471895875833<37>
composite cofactor 合成数の残り
10628175011109177028757453336672995284838965894081848158112895641957466405924520119937602304933297730251571619637962233519281816471881378421327269790451509252938527<164>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2431345495
Step 1 took 82850ms
Step 2 took 29206ms
********** Factor found in step 2: 3051453696179171682420786471895875833
Found probable prime factor of 37 digits: 3051453696179171682420786471895875833

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 15, 2011 02:00:00 UTC 2011 年 12 月 15 日 (木) 11 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovJanuary 22, 2012 19:50:42 UTC 2012 年 1 月 23 日 (月) 4 時 50 分 42 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:45 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 45 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:28 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 28 秒 (日本時間)
4511e60 / 3892--
5043e638 / 7471CypJanuary 11, 2014 17:22:36 UTC 2014 年 1 月 12 日 (日) 2 時 22 分 36 秒 (日本時間)
5511e74 / 17741KTakahashiSeptember 14, 2014 11:38:05 UTC 2014 年 9 月 14 日 (日) 20 時 38 分 5 秒 (日本時間)

23×10222+73

c190

name 名前Serge Batalov
date 日付December 15, 2011 18:48:07 UTC 2011 年 12 月 16 日 (金) 3 時 48 分 7 秒 (日本時間)
composite number 合成数
2615171087991053274778094125645145901503350895734273274250536845530980958201864048094995923067631039209781856100216530348015655310512521672645850574583814530805660284024275495135838750494327<190>
prime factors 素因数
475447376713491828005955423366443<33>
5500442774694233047190812937246636332171743774593723614786172730912483080009207604888364396964869309152435959204400445717501286157689761033133381991783036389<157>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=910768350
Step 1 took 4612ms
Step 2 took 3228ms
********** Factor found in step 2: 475447376713491828005955423366443
Found probable prime factor of 33 digits: 475447376713491828005955423366443
Probable prime cofactor ((10^222*23+7)/3/79/3881/9561713815446766715600371853)/475447376713491828005955423366443 has 157 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 15, 2011 02:00:00 UTC 2011 年 12 月 15 日 (木) 11 時 0 分 0 秒 (日本時間)

23×10224+73

c216

composite cofactor 合成数の残り
615098235685141888048939175387575584578284741066129965749867372986431096857837280815717520921260740249347971867970857102370536477440912908647576478358810634059737953940154545073760747163185857976723318313327072002353<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 15, 2011 02:00:00 UTC 2011 年 12 月 15 日 (木) 11 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiDecember 18, 2011 05:50:49 UTC 2011 年 12 月 18 日 (日) 14 時 50 分 49 秒 (日本時間)
4511e64000Wataru SakaiDecember 20, 2011 07:06:52 UTC 2011 年 12 月 20 日 (火) 16 時 6 分 52 秒 (日本時間)

23×10225+73

c197

name 名前Dmitry Domanov
date 日付January 23, 2012 07:05:50 UTC 2012 年 1 月 23 日 (月) 16 時 5 分 50 秒 (日本時間)
composite number 合成数
11085558252112916780142113742658038014315992880059229506155772393270351664581913702204284394134295765422333541302754136087451344861451842539538377390092394737478369096187395993952211002295067636587<197>
prime factors 素因数
206718342261863275663421837167<30>
53626389080027232772818136841850908271006726122494170153669866719538677651522801962695858274246743888401704248561631712712268993296255361796611444958428017159212408261<167>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2421674584
Step 1 took 82804ms
Step 2 took 29311ms
********** Factor found in step 2: 206718342261863275663421837167
Found probable prime factor of 30 digits: 206718342261863275663421837167

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 15, 2011 02:00:00 UTC 2011 年 12 月 15 日 (木) 11 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovJanuary 22, 2012 19:50:57 UTC 2012 年 1 月 23 日 (月) 4 時 50 分 57 秒 (日本時間)

23×10226+73

c225

name 名前matsui
date 日付July 6, 2012 12:14:39 UTC 2012 年 7 月 6 日 (金) 21 時 14 分 39 秒 (日本時間)
composite number 合成数
397236614853195164075993091537132987910189982728842832469775474956822107081174438687392055267702936096718480138169257340241796200345423143350604490500863557858376511226252158894645941278065630397236614853195164075993091537133<225>
prime factors 素因数
17664637100533135900061987172502058888624942289469<50>
33502913897774673736661953055477551632011917223708842466538419<62>
671215491412532032074314282438333601803897525600016160017718171214879705387772831756004304676171673249492752182603<114>
factorization results 素因数分解の結果
N=397236614853195164075993091537132987910189982728842832469775474956822107081174438687392055267702936096718480138169257340241796200345423143350604490500863557858376511226252158894645941278065630397236614853195164075993091537133
  ( 225 digits)
SNFS difficulty: 227 digits.
Divisors found:
 r1=17664637100533135900061987172502058888624942289469 (pp50)
 r2=33502913897774673736661953055477551632011917223708842466538419 (pp62)
 r3=671215491412532032074314282438333601803897525600016160017718171214879705387772831756004304676171673249492752182603 (pp114)
Version: Msieve v. 1.51
Total time:
Scaled time: 254.64 units (timescale=1.463).
Factorization parameters were as follows:
n: 397236614853195164075993091537132987910189982728842832469775474956822107081174438687392055267702936096718480138169257340241796200345423143350604490500863557858376511226252158894645941278065630397236614853195164075993091537133
m: 10000000000000000000000000000000000000
deg: 6
c6: 230000
c0: 7
skew: 0.18
type: snfs
lss: 1
rlim: 43000000
alim: 43000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
qintsize: 640000
Factor base limits: 43000000/43000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved rational special-q in [21500000, 87420001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 8906407 x 8906637
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,227.000,6,0,0,0,0,0,0,0,0,43000000,43000000,30,30,59,59,2.7,2.7,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 15, 2011 02:00:00 UTC 2011 年 12 月 15 日 (木) 11 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiDecember 18, 2011 05:50:35 UTC 2011 年 12 月 18 日 (日) 14 時 50 分 35 秒 (日本時間)
4511e64000Wataru SakaiDecember 23, 2011 04:24:37 UTC 2011 年 12 月 23 日 (金) 13 時 24 分 37 秒 (日本時間)

23×10229+73

c228

composite cofactor 合成数の残り
246516613076098606645230439442658092175777063236870310825294748124330117899249732047159699892818863879957127545551982851018220793140407288317256162915326902465166130760986066452304394426580921757770632368703108252947481243301179<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 15, 2011 02:00:00 UTC 2011 年 12 月 15 日 (木) 11 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiDecember 18, 2011 05:50:20 UTC 2011 年 12 月 18 日 (日) 14 時 50 分 20 秒 (日本時間)
4511e63250850Serge BatalovNovember 8, 2013 17:15:50 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 50 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:44 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 44 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:39 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 39 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:56 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 56 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:50 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 50 秒 (日本時間)
5043e6203 / 6736KTakahashiOctober 12, 2014 22:19:55 UTC 2014 年 10 月 13 日 (月) 7 時 19 分 55 秒 (日本時間)

23×10231+73

c198

composite cofactor 合成数の残り
873447401408974154107994330389670809179533968179760430812638011336506535011725044625326204607410940807840593871829126988570125196173061670035574821338224232990276221249622427418688403116990289602693<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 15, 2011 02:00:00 UTC 2011 年 12 月 15 日 (木) 11 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovJanuary 22, 2012 19:51:10 UTC 2012 年 1 月 23 日 (月) 4 時 51 分 10 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:46 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 46 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:28 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 28 秒 (日本時間)
4511e6144 / 4055Youcef LemsaferNovember 6, 2014 20:18:06 UTC 2014 年 11 月 7 日 (金) 5 時 18 分 6 秒 (日本時間)

23×10233+73

c218

name 名前Dmitry Domanov
date 日付January 23, 2012 07:06:18 UTC 2012 年 1 月 23 日 (月) 16 時 6 分 18 秒 (日本時間)
composite number 合成数
23684173020524918487425413641407747884577294757771417302691491060322219779910775897456715843908407724999486348299303502587019115135114702192731358361251371052230777007057214421910948835216728665369542931569931219624693<218>
prime factors 素因数
11547056848826762249962758203<29>
2051100408579987801470663573434782982855559949076748142356549571514592853909417673847016972899536815902449870885596017489468903411315362514504427104891208854450122180534168701478938740786831<190>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2777644657
Step 1 took 94937ms
Step 2 took 32782ms
********** Factor found in step 2: 11547056848826762249962758203
Found probable prime factor of 29 digits: 11547056848826762249962758203

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 15, 2011 02:00:00 UTC 2011 年 12 月 15 日 (木) 11 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovJanuary 22, 2012 19:51:26 UTC 2012 年 1 月 23 日 (月) 4 時 51 分 26 秒 (日本時間)

23×10234+73

c234

name 名前Serge Batalov
date 日付December 15, 2011 18:46:34 UTC 2011 年 12 月 16 日 (金) 3 時 46 分 34 秒 (日本時間)
composite number 合成数
264367816091954022988505747126436781609195402298850574712643678160919540229885057471264367816091954022988505747126436781609195402298850574712643678160919540229885057471264367816091954022988505747126436781609195402298850574712643678161<234>
prime factors 素因数
156469404772670704297686106127483<33>
composite cofactor 合成数の残り
1689581528580909487784163516158061061977514124372502297529744742163553417874659464260619122382814757145056816786061779099943453064674625238603697347105547629655050123440551470442078403105061678267109667<202>
factorization results 素因数分解の結果
Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=3669226915
Step 1 took 1848ms
Step 2 took 768ms
********** Factor found in step 2: 156469404772670704297686106127483
Found probable prime factor of 33 digits: 156469404772670704297686106127483
Composite cofactor ((10^234*23+7)/3/29)/156469404772670704297686106127483 has 202 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 15, 2011 02:00:00 UTC 2011 年 12 月 15 日 (木) 11 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovJanuary 22, 2012 19:51:37 UTC 2012 年 1 月 23 日 (月) 4 時 51 分 37 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:49 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 49 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:28 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 28 秒 (日本時間)
4511e6144 / 4055Youcef LemsaferNovember 6, 2014 17:57:16 UTC 2014 年 11 月 7 日 (金) 2 時 57 分 16 秒 (日本時間)

23×10237+73

c167

composite cofactor 合成数の残り
95829040690683326799085643789405573155494347446680311923638108282998170409980303536398143224916479944375914373500072394125356146306157432068513244750044608103090696911<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 15, 2011 02:00:00 UTC 2011 年 12 月 15 日 (木) 11 時 0 分 0 秒 (日本時間)
403e6600300Dmitry DomanovJanuary 22, 2012 19:51:49 UTC 2012 年 1 月 23 日 (月) 4 時 51 分 49 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:50 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 50 秒 (日本時間)
4511e6798 / 4342498CypFebruary 15, 2014 11:54:38 UTC 2014 年 2 月 15 日 (土) 20 時 54 分 38 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:51 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 51 秒 (日本時間)

23×10238+73

c237

name 名前Serge Batalov
date 日付December 15, 2011 18:47:32 UTC 2011 年 12 月 16 日 (金) 3 時 47 分 32 秒 (日本時間)
composite number 合成数
318118948824343015214384508990318118948824343015214384508990318118948824343015214384508990318118948824343015214384508990318118948824343015214384508990318118948824343015214384508990318118948824343015214384508990318118948824343015214384509<237>
prime factors 素因数
301053463327261597059387172841719<33>
composite cofactor 合成数の残り
1056685896612756456147336702776714649633767138367641208842172789625001213212822797673443470118312434190349537448127850544990081726694293068369542967103865291173320427771437430315651617706122959735347002411<205>
factorization results 素因数分解の結果
Using B1=250000, B2=258157000, polynomial Dickson(3), sigma=3038092904
Step 1 took 1797ms
Step 2 took 1228ms
********** Factor found in step 2: 301053463327261597059387172841719
Found probable prime factor of 33 digits: 301053463327261597059387172841719
Composite cofactor ((10^238*23+7)/3/241)/301053463327261597059387172841719 has 205 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 15, 2011 02:00:00 UTC 2011 年 12 月 15 日 (木) 11 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovJanuary 22, 2012 19:52:01 UTC 2012 年 1 月 23 日 (月) 4 時 52 分 1 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:50 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 50 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:29 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 29 秒 (日本時間)
4511e6144 / 4055Youcef LemsaferNovember 6, 2014 15:40:16 UTC 2014 年 11 月 7 日 (金) 0 時 40 分 16 秒 (日本時間)

23×10239+73

c235

composite cofactor 合成数の残り
1508274854894122384044812813253932498798298403655009013581687182483551606935703554479215644613720973086474643604488363659494491845807094269145745910771771127815801605460217283387139399352491047077192851301805142692637848124591372274367<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 15, 2011 02:00:00 UTC 2011 年 12 月 15 日 (木) 11 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiDecember 18, 2011 05:49:53 UTC 2011 年 12 月 18 日 (日) 14 時 49 分 53 秒 (日本時間)
4511e60--
5043e61130 / 7465440Dmitry DomanovMay 8, 2012 20:55:29 UTC 2012 年 5 月 9 日 (水) 5 時 55 分 29 秒 (日本時間)
690Dmitry DomanovMay 11, 2012 20:45:50 UTC 2012 年 5 月 12 日 (土) 5 時 45 分 50 秒 (日本時間)

23×10240+73

c221

name 名前Youcef Lemsafer
date 日付November 6, 2014 12:58:16 UTC 2014 年 11 月 6 日 (木) 21 時 58 分 16 秒 (日本時間)
composite number 合成数
42134435671020592213879932817857154975666395031363475726769202402743522005454179091335986504165576432840662286307225416084315418557437247332974397878310174545928910114102901947913839214241156461929775712113467238678095727<221>
prime factors 素因数
15664505425962285235174081798758382572181<41>
composite cofactor 合成数の残り
2689803126576033241065492124117308923751982736636896768337883925225506178238230899575027855352592952973103616970759995979607946801894720730471013014005517369599375912406288749671667<181>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Resuming ECM residue saved with Prime95 
Input number is 0x1DD71114E7A731EF832E03D2454438124BC6D234592BB23C72FDD124FF07FB72DDB94454FAE4FC25D68A446C40655CBD79958E299686EE599CB32EA4C6D955D8BC7AC23EF78C50F5DAF32914A767ABEA26085D91DB871394C48D676F (221 digits)
[Thu Nov 06 13:16:02 2014]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=11000000, B2=58542548620, polynomial Dickson(12), sigma=6222028550984073
dF=32768, k=5, d=324870, d2=11, i0=-10
Expected number of curves to find a factor of n digits:
35 40      45      50      55      60      65      70      75      80
Inf     Inf     Inf     Inf     Inf     Inf     Inf     Inf     Inf     Inf
Step 1 took 0ms
Using 27 small primes for NTT
Estimated memory usage: 146M
Initializing tables of differences for F took 109ms
Computing roots of F took 2418ms
Building F from its roots took 2356ms
Computing 1/F took 1139ms
Initializing table of differences for G took 62ms
Computing roots of G took 1810ms
Building G from its roots took 3385ms
Computing roots of G took 2917ms
Building G from its roots took 3369ms
Computing G * H took 546ms
Reducing  G * H mod F took 656ms
Computing roots of G took 2496ms
Building G from its roots took 2761ms
Computing G * H took 562ms
Reducing  G * H mod F took 718ms
Computing roots of G took 2059ms
Building G from its roots took 2823ms
Computing G * H took 562ms
Reducing  G * H mod F took 671ms
Computing roots of G took 2122ms
Building G from its roots took 3650ms
Computing G * H took 562ms
Reducing  G * H mod F took 655ms
Computing polyeval(F,G) took 4742ms
Computing product of all F(g_i) took 16ms
Step 2 took 43306ms
********** Factor found in step 2: 15664505425962285235174081798758382572181
Found probable prime factor of 41 digits: 15664505425962285235174081798758382572181
Composite cofactor (0x1DD71114E7A731EF832E03D2454438124BC6D234592BB23C72FDD124FF07FB72DDB94454FAE4FC25D68A446C40655CBD79958E299686EE599CB32EA4C6D955D8BC7AC23EF78C50F5DAF32914A767ABEA26085D91DB871394C48D676F)/15664505425962285235174081798758382572181 has 181 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 15, 2011 02:00:00 UTC 2011 年 12 月 15 日 (木) 11 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovJanuary 22, 2012 19:52:19 UTC 2012 年 1 月 23 日 (月) 4 時 52 分 19 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:52 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 52 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:29 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 29 秒 (日本時間)
4511e6241 / 4055Youcef LemsaferNovember 6, 2014 12:54:44 UTC 2014 年 11 月 6 日 (木) 21 時 54 分 44 秒 (日本時間)

23×10241+73

c225

composite cofactor 合成数の残り
494967329346530793949376402407092334219715896639748365314962855407032830299710188085919246838249568447066381141870324190821363492258835622306812482580147709016672582190982762504528218864344966106791471544212432899072501339933<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 15, 2011 02:00:00 UTC 2011 年 12 月 15 日 (木) 11 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovJanuary 22, 2012 19:52:30 UTC 2012 年 1 月 23 日 (月) 4 時 52 分 30 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:52 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 52 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:29 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 29 秒 (日本時間)
4511e6365 / 4055Youcef LemsaferNovember 6, 2014 06:14:51 UTC 2014 年 11 月 6 日 (木) 15 時 14 分 51 秒 (日本時間)

23×10242+73

c210

name 名前Serge Batalov
date 日付January 9, 2014 17:23:47 UTC 2014 年 1 月 10 日 (金) 2 時 23 分 47 秒 (日本時間)
composite number 合成数
133118123664071311126363791190108451976175246210297702948515697246018402105735019223668720940796285157670066910729441270759834616298271357350338896569564813728585529395756589679300627348309863904320755918232839<210>
prime factors 素因数
2768957468144751514576226037261376617116139599<46>
48075178183673118185560793105051423562991271264593628976782929028079478954341317395316293098134309100630094521048709536079902687572218013216873180967929364463202761<164>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1747963921
Step 1 took 18378ms
Step 2 took 7393ms
********** Factor found in step 2: 2768957468144751514576226037261376617116139599
Found probable prime factor of 46 digits: 2768957468144751514576226037261376617116139599
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 15, 2011 02:00:00 UTC 2011 年 12 月 15 日 (木) 11 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Dmitry DomanovJanuary 22, 2012 19:52:40 UTC 2012 年 1 月 23 日 (月) 4 時 52 分 40 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:53 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 53 秒 (日本時間)

23×10247+73

c230

name 名前Dmitry Domanov
date 日付January 23, 2012 11:51:14 UTC 2012 年 1 月 23 日 (月) 20 時 51 分 14 秒 (日本時間)
composite number 合成数
99146445579946471246413488947588429859130464692265140108298438033306212276958951098273787834541730717276426311866459488104524971636761084421867988185139109440591772715427033046871633385350031016050212176073391443998724782051956161<230>
prime factors 素因数
2057750462109730220107419170534009<34>
composite cofactor 合成数の残り
48181957630710741850091857525054429996603855590842722873028302093815868821419333000192697989896048269316315723372952187403303250164211029836435026746585199937215633249898675378581431362277884341129<197>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4169376244
Step 1 took 97254ms
Step 2 took 35286ms
********** Factor found in step 2: 2057750462109730220107419170534009
Found probable prime factor of 34 digits: 2057750462109730220107419170534009

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 15, 2011 02:00:00 UTC 2011 年 12 月 15 日 (木) 11 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovJanuary 22, 2012 19:52:55 UTC 2012 年 1 月 23 日 (月) 4 時 52 分 55 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:02:54 UTC 2014 年 1 月 9 日 (木) 14 時 2 分 54 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:30 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 30 秒 (日本時間)
4511e6122 / 4055CypMay 23, 2015 00:13:12 UTC 2015 年 5 月 23 日 (土) 9 時 13 分 12 秒 (日本時間)

23×10248+73

c240

composite cofactor 合成数の残り
263536847063629934648729633410266854486077629265533029025892305362890517411932593897774996361005873409846579672129094696012694940249615797278963560656231329155582924185589328705024976559735189642059869294205159665487148039970944796782762979<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 15, 2011 02:00:00 UTC 2011 年 12 月 15 日 (木) 11 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiDecember 19, 2011 09:53:21 UTC 2011 年 12 月 19 日 (月) 18 時 53 分 21 秒 (日本時間)
4511e639633610Wataru SakaiDecember 19, 2011 10:16:18 UTC 2011 年 12 月 19 日 (月) 19 時 16 分 18 秒 (日本時間)
353Wataru SakaiDecember 30, 2011 07:54:34 UTC 2011 年 12 月 30 日 (金) 16 時 54 分 34 秒 (日本時間)
5043e60--
5511e72740 / 17503yoyo@homeMarch 22, 2013 15:15:17 UTC 2013 年 3 月 23 日 (土) 0 時 15 分 17 秒 (日本時間)

23×10249+73

c196

name 名前Serge Batalov
date 日付December 16, 2011 01:51:26 UTC 2011 年 12 月 16 日 (金) 10 時 51 分 26 秒 (日本時間)
composite number 合成数
1902723393575634473325891486846862046571114141342421586656837569675799616810274141497840209104369991657745782059288819984844671788397035887399642491149067972725046493681213551206312394300530484119<196>
prime factors 素因数
13735779050653044698643308393<29>
composite cofactor 合成数の残り
138523150857262272577046811143464692314266605352385285100234168132244753767962848498681286272013820920816125797641321202632040294499110830913707394349869593654935587583<168>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=357323221
Step 1 took 5380ms
Step 2 took 3529ms
********** Factor found in step 2: 13735779050653044698643308393
Found probable prime factor of 29 digits: 13735779050653044698643308393
Composite cofactor 138523150857... has 168 digits

c168

name 名前Dmitry Domanov
date 日付December 17, 2011 15:22:26 UTC 2011 年 12 月 18 日 (日) 0 時 22 分 26 秒 (日本時間)
composite number 合成数
138523150857262272577046811143464692314266605352385285100234168132244753767962848498681286272013820920816125797641321202632040294499110830913707394349869593654935587583<168>
prime factors 素因数
87855398459927294541690798154674709663<38>
composite cofactor 合成数の残り
1576717575533455824827183244983296190205506294277393242958104640066902227044604669221540015404580278539001321097389281448486247841<130>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3007047529
Step 1 took 60180ms
Step 2 took 23735ms
********** Factor found in step 2: 87855398459927294541690798154674709663
Found probable prime factor of 38 digits: 87855398459927294541690798154674709663

c130

name 名前Erik Branger
date 日付February 9, 2012 20:04:23 UTC 2012 年 2 月 10 日 (金) 5 時 4 分 23 秒 (日本時間)
composite number 合成数
1576717575533455824827183244983296190205506294277393242958104640066902227044604669221540015404580278539001321097389281448486247841<130>
prime factors 素因数
25608748672694062907273027425685328159478815841<47>
61569489227510300981824642195733223192941407263835267508652368426671337810695752001<83>
factorization results 素因数分解の結果
Number: 76669_249
N = 1576717575533455824827183244983296190205506294277393242958104640066902227044604669221540015404580278539001321097389281448486247841 (130 digits)
Divisors found:
r1=25608748672694062907273027425685328159478815841 (pp47)
r2=61569489227510300981824642195733223192941407263835267508652368426671337810695752001 (pp83)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 105.70 hours.
Factorization parameters were as follows:
# Murphy_E = 9.837e-11, selected by Erik Branger
n: 1576717575533455824827183244983296190205506294277393242958104640066902227044604669221540015404580278539001321097389281448486247841
Y0: -7722148464195622675002204
Y1: 21944394183199
c0: -52980852901625168000355062357
c1: 6925974055997586573616741
c2: -14740660113275139514
c3: -2775756159406774
c4: -675702042
c5: 57420
skew: 96249.31
type: gnfs
# selected mechanically
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [5000000, 9800000)
Relations: 17682434
Relations in full relation-set: 2309090 relations
Pruned matrix : 1364033 x 1364262
Polynomial selection time: 0.00 hours.
Total sieving time: 103.84 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.66 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: gnfs,129,5,65,2000,1e-05,0.28,250,20,50000,3600,10000000,10000000,28,28,53,53,2.5,2.5,100000
total time: 105.70 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
351e6118Makoto KamadaDecember 15, 2011 02:00:00 UTC 2011 年 12 月 15 日 (木) 11 時 0 分 0 秒 (日本時間)
403e62400Dmitry DomanovDecember 17, 2011 09:17:03 UTC 2011 年 12 月 17 日 (土) 18 時 17 分 3 秒 (日本時間)

23×10250+73

c222

composite cofactor 合成数の残り
104775568052149759996681591061506163993231477476123110305318252618900269236068477737155979250296615355033199265951733656094423150079418161811288060821408706649246849616203596782239936605490433875986426069995153308177256943<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 15, 2011 02:00:00 UTC 2011 年 12 月 15 日 (木) 11 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 24, 2011 13:45:16 UTC 2011 年 12 月 24 日 (土) 22 時 45 分 16 秒 (日本時間)
4511e6600Dmitry DomanovDecember 27, 2011 07:56:40 UTC 2011 年 12 月 27 日 (火) 16 時 56 分 40 秒 (日本時間)
5043e61095 / 7407375Dmitry DomanovJanuary 24, 2012 17:32:28 UTC 2012 年 1 月 25 日 (水) 2 時 32 分 28 秒 (日本時間)
720Dmitry DomanovJanuary 26, 2012 14:26:26 UTC 2012 年 1 月 26 日 (木) 23 時 26 分 26 秒 (日本時間)