Table of contents 目次

59×10110+319

c109

name 名前Erik Branger
date 日付October 15, 2009 08:37:49 UTC 2009 年 10 月 15 日 (木) 17 時 37 分 49 秒 (日本時間)
composite number 合成数
9784411276948590381426202321724709784411276948590381426202321724709784411276948590381426202321724709784411277<109>
prime factors 素因数
2059102914028292755130681069223181<34>
4751783512270892417414894843292320160601424521926456341003456625783895801217<76>
factorization results 素因数分解の結果
Number: 65559_110
N=9784411276948590381426202321724709784411276948590381426202321724709784411276948590381426202321724709784411277
  ( 109 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=2059102914028292755130681069223181 (pp34)
 r2=4751783512270892417414894843292320160601424521926456341003456625783895801217 (pp76)
Version: Msieve-1.40
Total time: 0.85 hours.
Scaled time: 0.86 units (timescale=1.006).
Factorization parameters were as follows:
n: 9784411276948590381426202321724709784411276948590381426202321724709784411276948590381426202321724709784411277
m: 10000000000000000000000
deg: 5
c5: 59
c0: 31
skew: 0.88
type: snfs
lss: 1
rlim: 510000
alim: 510000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 510000/510000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [255000, 405001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 46749 x 46976
Total sieving time: 0.83 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,111.000,5,0,0,0,0,0,0,0,0,510000,510000,25,25,44,44,2.2,2.2,50000
total time: 0.85 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

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

59×10111+319

c88

name 名前Dmitry Domanov
date 日付October 15, 2009 08:50:29 UTC 2009 年 10 月 15 日 (木) 17 時 50 分 29 秒 (日本時間)
composite number 合成数
8443364543000296998259060102897487391031322808944578108402658675669115095005629848901793<88>
prime factors 素因数
13591305598907925889100220889634951249279<41>
621232778672766303826611081595480582684960831967<48>
factorization results 素因数分解の結果
10/15/09 11:39:04 v1.11 @ DB-SERVER, starting SIQS on c88: 8443364543000296998259060102897487391031322808944578108402658675669115095005629848901793
10/15/09 11:39:04 v1.11 @ DB-SERVER, random seeds: 1344519226, 1972906752
10/15/09 11:40:59 v1.11 @ DB-SERVER, starting SIQS on c88: 8443364543000296998259060102897487391031322808944578108402658675669115095005629848901793
10/15/09 11:40:59 v1.11 @ DB-SERVER, random seeds: 3553357154, 3455292184
10/15/09 11:40:59 v1.11 @ DB-SERVER, ==== sieve params ====
10/15/09 11:40:59 v1.11 @ DB-SERVER, n = 88 digits, 293 bits
10/15/09 11:40:59 v1.11 @ DB-SERVER, factor base: 62272 primes (max prime = 1648081)
10/15/09 11:40:59 v1.11 @ DB-SERVER, single large prime cutoff: 181288910 (110 * pmax)
10/15/09 11:40:59 v1.11 @ DB-SERVER, double large prime range from 43 to 50 bits
10/15/09 11:40:59 v1.11 @ DB-SERVER, double large prime cutoff: 732939669490134
10/15/09 11:40:59 v1.11 @ DB-SERVER, using 3420977 large prime slices of factor base
10/15/09 11:40:59 v1.11 @ DB-SERVER, buckets hold 1024 elements
10/15/09 11:40:59 v1.11 @ DB-SERVER, sieve interval: 18 blocks of size 32768
10/15/09 11:40:59 v1.11 @ DB-SERVER, polynomial A has ~ 0 factors
10/15/09 11:40:59 v1.11 @ DB-SERVER, using multiplier of 1
10/15/09 11:40:59 v1.11 @ DB-SERVER, using small prime variation correction of 19 bits
10/15/09 11:40:59 v1.11 @ DB-SERVER, using SSE2 for trial division and x128 sieve scanning
10/15/09 11:40:59 v1.11 @ DB-SERVER, trial factoring cutoff at 99 bits
10/15/09 11:40:59 v1.11 @ DB-SERVER, ==== sieving started ( 8 threads) ====
10/15/09 11:46:35 v1.11 @ DB-SERVER, sieve time = 94.3594, relation time = 34.8906, poly_time = 179.8125
10/15/09 11:46:35 v1.11 @ DB-SERVER, 63213 relations found: 20750 full + 42463 from 567952 partial, using 11344200 polys (591 A polys)
10/15/09 11:46:35 v1.11 @ DB-SERVER, on average, sieving found 0.05 rels/poly and 1748.35 rels/sec
10/15/09 11:46:35 v1.11 @ DB-SERVER, trial division touched 9909419 sieve locations out of 13382162841600
10/15/09 11:46:35 v1.11 @ DB-SERVER, ==== post processing stage (msieve-1.38) ====
10/15/09 11:46:36 v1.11 @ DB-SERVER, begin with 588782 relations
10/15/09 11:46:36 v1.11 @ DB-SERVER, reduce to 129673 relations in 9 passes
10/15/09 11:46:43 v1.11 @ DB-SERVER, failed to read relation 27450
10/15/09 11:49:23 v1.11 @ DB-SERVER, recovered 129672 relations
10/15/09 11:49:23 v1.11 @ DB-SERVER, recovered 110212 polynomials
10/15/09 11:49:24 v1.11 @ DB-SERVER, attempting to build 63208 cycles
10/15/09 11:49:24 v1.11 @ DB-SERVER, found 63208 cycles in 5 passes
10/15/09 11:49:24 v1.11 @ DB-SERVER, distribution of cycle lengths:
10/15/09 11:49:24 v1.11 @ DB-SERVER,    length 1 : 20749
10/15/09 11:49:24 v1.11 @ DB-SERVER,    length 2 : 17320
10/15/09 11:49:24 v1.11 @ DB-SERVER,    length 3 : 11955
10/15/09 11:49:24 v1.11 @ DB-SERVER,    length 4 : 6663
10/15/09 11:49:24 v1.11 @ DB-SERVER,    length 5 : 3524
10/15/09 11:49:24 v1.11 @ DB-SERVER,    length 6 : 1686
10/15/09 11:49:24 v1.11 @ DB-SERVER,    length 7 : 732
10/15/09 11:49:24 v1.11 @ DB-SERVER,    length 9+: 579
10/15/09 11:49:24 v1.11 @ DB-SERVER, largest cycle: 16 relations
10/15/09 11:49:24 v1.11 @ DB-SERVER, matrix is 62272 x 63208 (12.5 MB) with weight 3031794 (47.97/col)
10/15/09 11:49:24 v1.11 @ DB-SERVER, sparse part has weight 3031794 (47.97/col)
10/15/09 11:49:24 v1.11 @ DB-SERVER, filtering completed in 4 passes
10/15/09 11:49:24 v1.11 @ DB-SERVER, matrix is 55233 x 55297 (11.1 MB) with weight 2678208 (48.43/col)
10/15/09 11:49:24 v1.11 @ DB-SERVER, sparse part has weight 2678208 (48.43/col)
10/15/09 11:49:25 v1.11 @ DB-SERVER, saving the first 48 matrix rows for later
10/15/09 11:49:25 v1.11 @ DB-SERVER, matrix is 55185 x 55297 (9.5 MB) with weight 2346295 (42.43/col)
10/15/09 11:49:25 v1.11 @ DB-SERVER, sparse part has weight 2169291 (39.23/col)
10/15/09 11:49:25 v1.11 @ DB-SERVER, matrix includes 64 packed rows
10/15/09 11:49:25 v1.11 @ DB-SERVER, using block size 22118 for processor cache size 4096 kB
10/15/09 11:49:25 v1.11 @ DB-SERVER, commencing Lanczos iteration
10/15/09 11:49:25 v1.11 @ DB-SERVER, memory use: 8.6 MB
10/15/09 11:49:49 v1.11 @ DB-SERVER, lanczos halted after 874 iterations (dim = 55182)
10/15/09 11:49:49 v1.11 @ DB-SERVER, recovered 15 nontrivial dependencies
10/15/09 11:49:49 v1.11 @ DB-SERVER, prp48 = 621232778672766303826611081595480582684960831967
10/15/09 11:49:51 v1.11 @ DB-SERVER, prp41 = 13591305598907925889100220889634951249279
10/15/09 11:49:51 v1.11 @ DB-SERVER, Lanczos elapsed time = 193.4850 seconds.
10/15/09 11:49:51 v1.11 @ DB-SERVER, Sqrt elapsed time = 1.7970 seconds.
10/15/09 11:49:51 v1.11 @ DB-SERVER, SIQS elapsed time = 532.0000 seconds.
software ソフトウェア
YAFU v1.11/SIQS

ECM

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

59×10117+319

c87

name 名前Dmitry Domanov
date 日付October 15, 2009 08:38:48 UTC 2009 年 10 月 15 日 (木) 17 時 38 分 48 秒 (日本時間)
composite number 合成数
350932442622908006046208304245469699700822566574232521739951595142937689076357277633437<87>
prime factors 素因数
1006339068803322500630304410519443319<37>
348721870691372066316258363091558353915003674550923<51>
factorization results 素因数分解の結果
10/15/09 11:32:39 v1.11 @ DB-SERVER, starting SIQS on c87: 350932442622908006046208304245469699700822566574232521739951595142937689076357277633437
10/15/09 11:32:39 v1.11 @ DB-SERVER, random seeds: 1344519226, 1972906752
10/15/09 11:32:39 v1.11 @ DB-SERVER, ==== sieve params ====
10/15/09 11:32:39 v1.11 @ DB-SERVER, n = 88 digits, 292 bits
10/15/09 11:32:39 v1.11 @ DB-SERVER, factor base: 59299 primes (max prime = 1563811)
10/15/09 11:32:39 v1.11 @ DB-SERVER, single large prime cutoff: 172019210 (110 * pmax)
10/15/09 11:32:39 v1.11 @ DB-SERVER, double large prime range from 43 to 50 bits
10/15/09 11:32:39 v1.11 @ DB-SERVER, double large prime cutoff: 666865896067036
10/15/09 11:32:39 v1.11 @ DB-SERVER, using 3552048 large prime slices of factor base
10/15/09 11:32:39 v1.11 @ DB-SERVER, buckets hold 1024 elements
10/15/09 11:32:39 v1.11 @ DB-SERVER, sieve interval: 18 blocks of size 32768
10/15/09 11:32:39 v1.11 @ DB-SERVER, polynomial A has ~ 0 factors
10/15/09 11:32:39 v1.11 @ DB-SERVER, using multiplier of 13
10/15/09 11:32:39 v1.11 @ DB-SERVER, using small prime variation correction of 20 bits
10/15/09 11:32:39 v1.11 @ DB-SERVER, using SSE2 for trial division and x128 sieve scanning
10/15/09 11:32:39 v1.11 @ DB-SERVER, trial factoring cutoff at 97 bits
10/15/09 11:32:39 v1.11 @ DB-SERVER, ==== sieving started ( 8 threads) ====
10/15/09 11:37:46 v1.11 @ DB-SERVER, sieve time = 82.0781, relation time = 40.9531, poly_time = 143.0938
10/15/09 11:37:46 v1.11 @ DB-SERVER, 60057 relations found: 20679 full + 39378 from 537344 partial, using 8253696 polys (503 A polys)
10/15/09 11:37:46 v1.11 @ DB-SERVER, on average, sieving found 0.07 rels/poly and 1817.76 rels/sec
10/15/09 11:37:46 v1.11 @ DB-SERVER, trial division touched 10999568 sieve locations out of 9736455979008
10/15/09 11:37:46 v1.11 @ DB-SERVER, ==== post processing stage (msieve-1.38) ====
10/15/09 11:37:47 v1.11 @ DB-SERVER, begin with 558023 relations
10/15/09 11:37:47 v1.11 @ DB-SERVER, reduce to 120144 relations in 10 passes
10/15/09 11:37:57 v1.11 @ DB-SERVER, recovered 120144 relations
10/15/09 11:37:57 v1.11 @ DB-SERVER, recovered 95960 polynomials
10/15/09 11:37:57 v1.11 @ DB-SERVER, attempting to build 60057 cycles
10/15/09 11:37:57 v1.11 @ DB-SERVER, found 60057 cycles in 5 passes
10/15/09 11:37:57 v1.11 @ DB-SERVER, distribution of cycle lengths:
10/15/09 11:37:57 v1.11 @ DB-SERVER,    length 1 : 20679
10/15/09 11:37:57 v1.11 @ DB-SERVER,    length 2 : 17162
10/15/09 11:37:57 v1.11 @ DB-SERVER,    length 3 : 11039
10/15/09 11:37:57 v1.11 @ DB-SERVER,    length 4 : 5919
10/15/09 11:37:57 v1.11 @ DB-SERVER,    length 5 : 2987
10/15/09 11:37:57 v1.11 @ DB-SERVER,    length 6 : 1259
10/15/09 11:37:57 v1.11 @ DB-SERVER,    length 7 : 615
10/15/09 11:37:57 v1.11 @ DB-SERVER,    length 9+: 397
10/15/09 11:37:57 v1.11 @ DB-SERVER, largest cycle: 15 relations
10/15/09 11:37:58 v1.11 @ DB-SERVER, matrix is 59299 x 60057 (11.6 MB) with weight 2806270 (46.73/col)
10/15/09 11:37:58 v1.11 @ DB-SERVER, sparse part has weight 2806270 (46.73/col)
10/15/09 11:37:59 v1.11 @ DB-SERVER, filtering completed in 4 passes
10/15/09 11:37:59 v1.11 @ DB-SERVER, matrix is 51616 x 51680 (10.1 MB) with weight 2451748 (47.44/col)
10/15/09 11:37:59 v1.11 @ DB-SERVER, sparse part has weight 2451748 (47.44/col)
10/15/09 11:37:59 v1.11 @ DB-SERVER, saving the first 48 matrix rows for later
10/15/09 11:37:59 v1.11 @ DB-SERVER, matrix is 51568 x 51680 (8.6 MB) with weight 2106940 (40.77/col)
10/15/09 11:37:59 v1.11 @ DB-SERVER, sparse part has weight 1933573 (37.41/col)
10/15/09 11:37:59 v1.11 @ DB-SERVER, matrix includes 64 packed rows
10/15/09 11:37:59 v1.11 @ DB-SERVER, using block size 20672 for processor cache size 4096 kB
10/15/09 11:38:00 v1.11 @ DB-SERVER, commencing Lanczos iteration
10/15/09 11:38:00 v1.11 @ DB-SERVER, memory use: 7.8 MB
10/15/09 11:38:19 v1.11 @ DB-SERVER, lanczos halted after 817 iterations (dim = 51560)
10/15/09 11:38:19 v1.11 @ DB-SERVER, recovered 12 nontrivial dependencies
10/15/09 11:38:21 v1.11 @ DB-SERVER, prp37 = 1006339068803322500630304410519443319
10/15/09 11:38:22 v1.11 @ DB-SERVER, prp51 = 348721870691372066316258363091558353915003674550923
10/15/09 11:38:22 v1.11 @ DB-SERVER, Lanczos elapsed time = 33.1250 seconds.
10/15/09 11:38:22 v1.11 @ DB-SERVER, Sqrt elapsed time = 2.7500 seconds.
10/15/09 11:38:22 v1.11 @ DB-SERVER, SIQS elapsed time = 342.8594 seconds.
software ソフトウェア
YAFU  v1.11/SIQS

ECM

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

59×10118+319

c99

name 名前Serge Batalov
date 日付October 16, 2009 02:27:26 UTC 2009 年 10 月 16 日 (金) 11 時 27 分 26 秒 (日本時間)
composite number 合成数
737730189808603191316426643348526512468446270875955771055721823848214715493569424394356238066560679<99>
prime factors 素因数
130974788754003500820212128935309549948386590481<48>
5632612175418019323602106433020886254974107858338359<52>
factorization results 素因数分解の結果
SNFS difficulty: 121 digits.
Divisors found:
 r1=130974788754003500820212128935309549948386590481 (pp48)
 r2=5632612175418019323602106433020886254974107858338359 (pp52)
Version: Msieve v. 1.43 SVN74
Total time: 0.97 hours.
Scaled time: 2.32 units (timescale=2.400).
Factorization parameters were as follows:
n: 737730189808603191316426643348526512468446270875955771055721823848214715493569424394356238066560679
m: 500000000000000000000000
deg: 5
c5: 472
c0: 775
skew: 1.10
type: snfs
lss: 1
rlim: 730000
alim: 730000
lpbr: 25
lpba: 25
mfbr: 48
mfba: 48
rlambda: 2.4
alambda: 2.4
Factor base limits: 730000/730000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 48/48
Sieved rational special-q in [456250, 706251)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 112931 x 113167
Total sieving time: 0.90 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,5,0,0,0,0,0,0,0,0,730000,730000,25,25,48,48,2.4,2.4,50000
total time: 0.97 hours.

ECM

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

59×10121+319

c84

name 名前Dmitry Domanov
date 日付October 15, 2009 08:30:55 UTC 2009 年 10 月 15 日 (木) 17 時 30 分 55 秒 (日本時間)
composite number 合成数
786522112930647783028412494827668993729597868210456036262629440824180003640602682189<84>
prime factors 素因数
49585585839260812980296174140738246117879<41>
15861910263201857558262504213501787137788891<44>
factorization results 素因数分解の結果
10/15/09 11:26:17 v1.11 @ DB-SERVER, starting SIQS on c84: 786522112930647783028412494827668993729597868210456036262629440824180003640602682189
10/15/09 11:26:17 v1.11 @ DB-SERVER, random seeds: 1344519226, 1972906752
10/15/09 11:26:18 v1.11 @ DB-SERVER, ==== sieve params ====
10/15/09 11:26:18 v1.11 @ DB-SERVER, n = 85 digits, 282 bits
10/15/09 11:26:18 v1.11 @ DB-SERVER, factor base: 53604 primes (max prime = 1408241)
10/15/09 11:26:18 v1.11 @ DB-SERVER, single large prime cutoff: 133782895 (95 * pmax)
10/15/09 11:26:18 v1.11 @ DB-SERVER, double large prime range from 42 to 49 bits
10/15/09 11:26:18 v1.11 @ DB-SERVER, double large prime cutoff: 424151552894538
10/15/09 11:26:18 v1.11 @ DB-SERVER, using 3683125 large prime slices of factor base
10/15/09 11:26:18 v1.11 @ DB-SERVER, buckets hold 1024 elements
10/15/09 11:26:18 v1.11 @ DB-SERVER, sieve interval: 14 blocks of size 32768
10/15/09 11:26:18 v1.11 @ DB-SERVER, polynomial A has ~ 4456449 factors
10/15/09 11:26:18 v1.11 @ DB-SERVER, using multiplier of 5
10/15/09 11:26:18 v1.11 @ DB-SERVER, using small prime variation correction of 20 bits
10/15/09 11:26:18 v1.11 @ DB-SERVER, using SSE2 for trial division and x128 sieve scanning
10/15/09 11:26:18 v1.11 @ DB-SERVER, trial factoring cutoff at 91 bits
10/15/09 11:26:18 v1.11 @ DB-SERVER, ==== sieving started ( 8 threads) ====
10/15/09 11:29:48 v1.11 @ DB-SERVER, sieve time = 40.4219, relation time = 42.5313, poly_time = 75.6875
10/15/09 11:29:48 v1.11 @ DB-SERVER, 54303 relations found: 17846 full + 36457 from 515948 partial, using 4615496 polys (423 A polys)
10/15/09 11:29:48 v1.11 @ DB-SERVER, on average, sieving found 0.12 rels/poly and 2530.39 rels/sec
10/15/09 11:29:48 v1.11 @ DB-SERVER, trial division touched 12004008 sieve locations out of 4234736041984
10/15/09 11:29:48 v1.11 @ DB-SERVER, ==== post processing stage (msieve-1.38) ====
10/15/09 11:29:49 v1.11 @ DB-SERVER, begin with 533794 relations
10/15/09 11:29:49 v1.11 @ DB-SERVER, reduce to 114564 relations in 9 passes
10/15/09 11:29:54 v1.11 @ DB-SERVER, recovered 114564 relations
10/15/09 11:29:54 v1.11 @ DB-SERVER, recovered 83430 polynomials
10/15/09 11:29:54 v1.11 @ DB-SERVER, attempting to build 54303 cycles
10/15/09 11:29:54 v1.11 @ DB-SERVER, found 54303 cycles in 5 passes
10/15/09 11:29:54 v1.11 @ DB-SERVER, distribution of cycle lengths:
10/15/09 11:29:54 v1.11 @ DB-SERVER,    length 1 : 17846
10/15/09 11:29:54 v1.11 @ DB-SERVER,    length 2 : 13793
10/15/09 11:29:54 v1.11 @ DB-SERVER,    length 3 : 10091
10/15/09 11:29:54 v1.11 @ DB-SERVER,    length 4 : 5975
10/15/09 11:29:54 v1.11 @ DB-SERVER,    length 5 : 3378
10/15/09 11:29:54 v1.11 @ DB-SERVER,    length 6 : 1681
10/15/09 11:29:54 v1.11 @ DB-SERVER,    length 7 : 833
10/15/09 11:29:54 v1.11 @ DB-SERVER,    length 9+: 706
10/15/09 11:29:54 v1.11 @ DB-SERVER, largest cycle: 16 relations
10/15/09 11:29:54 v1.11 @ DB-SERVER, matrix is 53604 x 54303 (10.8 MB) with weight 2622699 (48.30/col)
10/15/09 11:29:54 v1.11 @ DB-SERVER, sparse part has weight 2622699 (48.30/col)
10/15/09 11:29:55 v1.11 @ DB-SERVER, filtering completed in 4 passes
10/15/09 11:29:55 v1.11 @ DB-SERVER, matrix is 46804 x 46868 (9.4 MB) with weight 2289260 (48.84/col)
10/15/09 11:29:55 v1.11 @ DB-SERVER, sparse part has weight 2289260 (48.84/col)
10/15/09 11:29:55 v1.11 @ DB-SERVER, saving the first 48 matrix rows for later
10/15/09 11:29:55 v1.11 @ DB-SERVER, matrix is 46756 x 46868 (7.7 MB) with weight 1933098 (41.25/col)
10/15/09 11:29:55 v1.11 @ DB-SERVER, sparse part has weight 1749204 (37.32/col)
10/15/09 11:29:55 v1.11 @ DB-SERVER, matrix includes 64 packed rows
10/15/09 11:29:55 v1.11 @ DB-SERVER, using block size 18747 for processor cache size 4096 kB
10/15/09 11:29:56 v1.11 @ DB-SERVER, commencing Lanczos iteration
10/15/09 11:29:56 v1.11 @ DB-SERVER, memory use: 7.1 MB
10/15/09 11:30:11 v1.11 @ DB-SERVER, lanczos halted after 741 iterations (dim = 46751)
10/15/09 11:30:12 v1.11 @ DB-SERVER, recovered 15 nontrivial dependencies
10/15/09 11:30:13 v1.11 @ DB-SERVER, prp41 = 49585585839260812980296174140738246117879
10/15/09 11:30:13 v1.11 @ DB-SERVER, prp44 = 15861910263201857558262504213501787137788891
10/15/09 11:30:13 v1.11 @ DB-SERVER, Lanczos elapsed time = 23.2190 seconds.
10/15/09 11:30:13 v1.11 @ DB-SERVER, Sqrt elapsed time = 1.5310 seconds.
10/15/09 11:30:13 v1.11 @ DB-SERVER, SIQS elapsed time = 235.7031 seconds.
software ソフトウェア
YAFU v1.11/SIQS

ECM

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

59×10122+319

c119

name 名前Dmitry Domanov
date 日付October 15, 2009 16:18:15 UTC 2009 年 10 月 16 日 (金) 1 時 18 分 15 秒 (日本時間)
composite number 合成数
14772417143014524540990953772349540427598881302376356120412726312178731224633381155904084448150067727776901447947259967<119>
prime factors 素因数
2617252350806544967013566147544617337<37>
5644246393918487080312117373821903275185792933757964322841397161481678551382767991<82>
factorization results 素因数分解の結果
Number: snfs122
N=14772417143014524540990953772349540427598881302376356120412726312178731224633381155904084448150067727776901447947259967
  ( 119 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=2617252350806544967013566147544617337 (pp37)
 r2=5644246393918487080312117373821903275185792933757964322841397161481678551382767991 (pp82)
Version: Msieve-1.40
Total time: 1.99 hours.
Scaled time: 3.91 units (timescale=1.963).
Factorization parameters were as follows:
n: 14772417143014524540990953772349540427598881302376356120412726312178731224633381155904084448150067727776901447947259967
m: 2000000000000000000000000
deg: 5
c5: 1475
c0: 248
skew: 0.70
type: snfs
lss: 1
rlim: 840000
alim: 840000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 840000/840000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [420000, 870001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 112892 x 113134
Total sieving time: 1.86 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,124.000,5,0,0,0,0,0,0,0,0,840000,840000,25,25,46,46,2.2,2.2,50000
total time: 1.99 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

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

59×10123+319

c123

name 名前Dmitry Domanov
date 日付October 15, 2009 14:16:47 UTC 2009 年 10 月 15 日 (木) 23 時 16 分 47 秒 (日本時間)
composite number 合成数
936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507937<123>
prime factors 素因数
67796015868967415476904212737855081432567281<44>
13813613152695726854162911859174511245014894719610845098773886175320964172803377<80>
factorization results 素因数分解の結果
Number: snfs123
N=936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507937
  ( 123 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=67796015868967415476904212737855081432567281 (pp44)
 r2=13813613152695726854162911859174511245014894719610845098773886175320964172803377 (pp80)
Version: Msieve-1.40
Total time: 1.71 hours.
Scaled time: 3.37 units (timescale=1.969).
Factorization parameters were as follows:
n: 936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507937
m: 5000000000000000000000000
deg: 5
c5: 472
c0: 775
skew: 1.10
type: snfs
lss: 1
rlim: 890000
alim: 890000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 890000/890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [445000, 795001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 141708 x 141956
Total sieving time: 1.62 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,126.000,5,0,0,0,0,0,0,0,0,890000,890000,26,26,46,46,2.3,2.3,50000
total time: 1.71 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

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

59×10126+319

c112

name 名前Sinkiti Sibata
date 日付October 20, 2009 07:59:01 UTC 2009 年 10 月 20 日 (火) 16 時 59 分 1 秒 (日本時間)
composite number 合成数
6051887883929230133923042308956916907181672199061927414123640902154029039892048029146863724006972034082017308697<112>
prime factors 素因数
1949088156959011078581266061017<31>
380263709629486527054620749765086821<36>
8165344461828363571084992097156251589533371821<46>
factorization results 素因数分解の結果
Number: 65559_126
N=6051887883929230133923042308956916907181672199061927414123640902154029039892048029146863724006972034082017308697
  ( 112 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=1949088156959011078581266061017 (pp31)
 r2=380263709629486527054620749765086821 (pp36)
 r3=8165344461828363571084992097156251589533371821 (pp46)
Version: Msieve-1.40
Total time: 1.92 hours.
Scaled time: 6.38 units (timescale=3.322).
Factorization parameters were as follows:
name: 65559_126
n: 6051887883929230133923042308956916907181672199061927414123640902154029039892048029146863724006972034082017308697
m: 20000000000000000000000000
deg: 5
c5: 295
c0: 496
skew: 1.11
type: snfs
lss: 1
rlim: 990000
alim: 990000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 990000/990000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [495000, 845001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 132978 x 133225
Total sieving time: 1.82 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,128.000,5,0,0,0,0,0,0,0,0,990000,990000,26,26,47,47,2.3,2.3,50000
total time: 1.92 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 19, 2009 04:00:00 UTC 2009 年 10 月 19 日 (月) 13 時 0 分 0 秒 (日本時間)

59×10129+319

c123

name 名前Sinkiti Sibata
date 日付October 20, 2009 07:56:04 UTC 2009 年 10 月 20 日 (火) 16 時 56 分 4 秒 (日本時間)
composite number 合成数
467386732172422324345431020994512935216958901013138375712120129353951996039602485841489370441399950645545444396176862086367<123>
prime factors 素因数
1236242545703608932814642627753389991234997<43>
378070414900992267005464279661868960650787886552209763730065731639757888766166211<81>
factorization results 素因数分解の結果
Number: 65559_129
N=467386732172422324345431020994512935216958901013138375712120129353951996039602485841489370441399950645545444396176862086367
  ( 123 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=1236242545703608932814642627753389991234997 (pp43)
 r2=378070414900992267005464279661868960650787886552209763730065731639757888766166211 (pp81)
Version: Msieve-1.40
Total time: 2.45 hours.
Scaled time: 7.93 units (timescale=3.238).
Factorization parameters were as follows:
name: 65559_129
n: 467386732172422324345431020994512935216958901013138375712120129353951996039602485841489370441399950645545444396176862086367
m: 100000000000000000000000000
deg: 5
c5: 59
c0: 310
skew: 1.39
type: snfs
lss: 1
rlim: 1100000
alim: 1100000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [550000, 1000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 149376 x 149624
Total sieving time: 2.37 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:
snfs,131.000,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,50000
total time: 2.45 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 19, 2009 04:00:00 UTC 2009 年 10 月 19 日 (月) 13 時 0 分 0 秒 (日本時間)

59×10130+319

c104

name 名前Lionel Debroux
date 日付October 19, 2009 19:03:48 UTC 2009 年 10 月 20 日 (火) 4 時 3 分 48 秒 (日本時間)
composite number 合成数
31671910526686091534197699821958606232566539240654305812988468252560819489060433423435233682785634276519<104>
prime factors 素因数
453918589660553342818948542406995277321<39>
69774429265765009327283464876302066657719254024336529627412341039<65>
factorization results 素因数分解の結果
Number: 65559_130
N=31671910526686091534197699821958606232566539240654305812988468252560819489060433423435233682785634276519
  ( 104 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=453918589660553342818948542406995277321 (pp39)
 r2=69774429265765009327283464876302066657719254024336529627412341039 (pp65)
Version: Msieve v. 1.44
Total time: 8.26 hours.
Scaled time: 12.31 units (timescale=1.490).
Factorization parameters were as follows:
n: 31671910526686091534197699821958606232566539240654305812988468252560819489060433423435233682785634276519
m: 100000000000000000000000000
deg: 5
c5: 59
c0: 31
skew: 0.88
type: snfs
lss: 1
rlim: 1100000
alim: 1100000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [550000, 1400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 116487 x 116715
Total sieving time: 8.16 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,131.000,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,50000
total time: 8.26 hours.
 --------- CPU info (if available) ----------
[    0.029439] CPU0: Intel(R) Core(TM)2 CPU         T7200  @ 2.00GHz stepping 06
[    0.101689] CPU1: Intel(R) Core(TM)2 CPU         T7200  @ 2.00GHz stepping 06
[    0.000000] Memory: 2043420k/2096800k available (7091k kernel code, 452k absent, 52268k reserved, 3271k data, 540k init)
[    0.000999] Calibrating delay loop (skipped), value calculated using timer frequency.. 3990.57 BogoMIPS (lpj=1995288)
[    0.000999] Calibrating delay using timer specific routine.. 3989.82 BogoMIPS (lpj=1994913)
[    0.102027] Total of 2 processors activated (7980.40 BogoMIPS).
software ソフトウェア
GGNFS + Msieve
execution environment 実行環境
Core 2 Duo T7200, 2 GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 19, 2009 04:00:00 UTC 2009 年 10 月 19 日 (月) 13 時 0 分 0 秒 (日本時間)

59×10131+319

c132

name 名前Dmitry Domanov
date 日付October 21, 2009 13:24:18 UTC 2009 年 10 月 21 日 (水) 22 時 24 分 18 秒 (日本時間)
composite number 合成数
655555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559<132>
prime factors 素因数
962401406006965270685850985472472580434859585288363395786281<60>
681166456598891384831603529297408001491769285992504947897110656742762639<72>
factorization results 素因数分解の結果
Number: snfs132
N=655555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559
  ( 132 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=962401406006965270685850985472472580434859585288363395786281 (pp60)
 r2=681166456598891384831603529297408001491769285992504947897110656742762639 (pp72)
Version: Msieve-1.40
Total time: 2.82 hours.
Scaled time: 5.55 units (timescale=1.969).
Factorization parameters were as follows:
n: 655555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559
m: 200000000000000000000000000
deg: 5
c5: 295
c0: 496
skew: 1.11
type: snfs
lss: 1
rlim: 1200000
alim: 1200000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [600000, 1125001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 164603 x 164829
Total sieving time: 2.70 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,133.000,5,0,0,0,0,0,0,0,0,1200000,1200000,26,26,47,47,2.3,2.3,75000
total time: 2.82 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 19, 2009 04:00:00 UTC 2009 年 10 月 19 日 (月) 13 時 0 分 0 秒 (日本時間)

59×10135+319

c135

name 名前Dmitry Domanov
date 日付October 19, 2009 13:03:28 UTC 2009 年 10 月 19 日 (月) 22 時 3 分 28 秒 (日本時間)
composite number 合成数
936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507937<135>
prime factors 素因数
15163281148863922855510327593559872326794565482235986495845009675589<68>
61761562508395645457663130539560263571682161366507241664417293471533<68>
factorization results 素因数分解の結果
Number: snfs135
N=936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507937
  ( 135 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=15163281148863922855510327593559872326794565482235986495845009675589 (pp68)
 r2=61761562508395645457663130539560263571682161366507241664417293471533 (pp68)
Version: Msieve-1.40
Total time: 3.29 hours.
Scaled time: 6.08 units (timescale=1.845).
Factorization parameters were as follows:
n: 936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507937
m: 1000000000000000000000000000
deg: 5
c5: 59
c0: 31
skew: 0.88
type: snfs
lss: 1
rlim: 1330000
alim: 1330000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1330000/1330000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [665000, 1265001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 185316 x 185541
Total sieving time: 3.14 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1330000,1330000,26,26,48,48,2.3,2.3,75000
total time: 3.29 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 KamadaOctober 19, 2009 04:00:00 UTC 2009 年 10 月 19 日 (月) 13 時 0 分 0 秒 (日本時間)

59×10137+319

c129

name 名前Jo Yeong Uk
date 日付October 19, 2009 23:05:50 UTC 2009 年 10 月 20 日 (火) 8 時 5 分 50 秒 (日本時間)
composite number 合成数
313886778504384332722732947585730727116664052955402577662899770863518870526491597934334795814136562606767041549876452187557992727<129>
prime factors 素因数
458432638558521664727323056207540619<36>
833711589045185494167470359553557417141<39>
821261859814952443151209166814163983713873321125972913<54>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 313886778504384332722732947585730727116664052955402577662899770863518870526491597934334795814136562606767041549876452187557992727 (129 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=742684458
Step 1 took 4196ms
Step 2 took 5710ms
********** Factor found in step 2: 833711589045185494167470359553557417141
Found probable prime factor of 39 digits: 833711589045185494167470359553557417141
Composite cofactor 376493241342447381479258507689377998474130607563998113822613663653382400010452323341253147 has 90 digits

10/20/09 00:27:21 v1.10 @ 조영욱-PC, starting SIQS on c90: 376493241342447381479258507689377998474130607563998113822613663653382400010452323341253147
10/20/09 00:27:21 v1.10 @ 조영욱-PC, random seeds: 1541049209, 1117130648
10/20/09 00:27:22 v1.10 @ 조영욱-PC, ==== sieve params ====
10/20/09 00:27:22 v1.10 @ 조영욱-PC, n = 90 digits, 300 bits
10/20/09 00:27:22 v1.10 @ 조영욱-PC, factor base: 65244 primes (max prime = 1726447)
10/20/09 00:27:22 v1.10 @ 조영욱-PC, single large prime cutoff: 189909170 (110 * pmax)
10/20/09 00:27:22 v1.10 @ 조영욱-PC, double large prime range from 43 to 50 bits
10/20/09 00:27:22 v1.10 @ 조영욱-PC, double large prime cutoff: 796861205787554
10/20/09 00:27:22 v1.10 @ 조영욱-PC, using 15 large prime slices of factor base
10/20/09 00:27:22 v1.10 @ 조영욱-PC, buckets hold 1024 elements
10/20/09 00:27:22 v1.10 @ 조영욱-PC, sieve interval: 9 blocks of size 65536
10/20/09 00:27:22 v1.10 @ 조영욱-PC, polynomial A has ~ 12 factors
10/20/09 00:27:22 v1.10 @ 조영욱-PC, using multiplier of 3
10/20/09 00:27:22 v1.10 @ 조영욱-PC, using small prime variation correction of 19 bits
10/20/09 00:27:22 v1.10 @ 조영욱-PC, using SSE2 for trial division and x128 sieve scanning
10/20/09 00:27:22 v1.10 @ 조영욱-PC, trial factoring cutoff at 98 bits
10/20/09 00:27:22 v1.10 @ 조영욱-PC, ==== sieving started ====
10/20/09 01:16:35 v1.10 @ 조영욱-PC, sieve time = 1379.3150, relation time = 528.0080, poly_time = 1045.8110
10/20/09 01:16:35 v1.10 @ 조영욱-PC, 65331 relations found: 19036 full + 46295 from 733853 partial, using 534260 polys (268 A polys)
10/20/09 01:16:35 v1.10 @ 조영욱-PC, on average, sieving found 1.41 rels/poly and 254.85 rels/sec
10/20/09 01:16:35 v1.10 @ 조영욱-PC, trial division touched 19389324 sieve locations out of 630238740480
10/20/09 01:16:35 v1.10 @ 조영욱-PC, ==== post processing stage (msieve-1.38) ====
10/20/09 01:16:36 v1.10 @ 조영욱-PC, begin with 752889 relations
10/20/09 01:16:36 v1.10 @ 조영욱-PC, reduce to 148640 relations in 9 passes
10/20/09 01:16:37 v1.10 @ 조영욱-PC, failed to read relation 75051
10/20/09 01:16:37 v1.10 @ 조영욱-PC, recovered 148639 relations
10/20/09 01:16:37 v1.10 @ 조영욱-PC, recovered 129737 polynomials
10/20/09 01:16:38 v1.10 @ 조영욱-PC, attempting to build 65330 cycles
10/20/09 01:16:38 v1.10 @ 조영욱-PC, found 65330 cycles in 5 passes
10/20/09 01:16:38 v1.10 @ 조영욱-PC, distribution of cycle lengths:
10/20/09 01:16:38 v1.10 @ 조영욱-PC,    length 1 : 19036
10/20/09 01:16:38 v1.10 @ 조영욱-PC,    length 2 : 15014
10/20/09 01:16:38 v1.10 @ 조영욱-PC,    length 3 : 12245
10/20/09 01:16:38 v1.10 @ 조영욱-PC,    length 4 : 8019
10/20/09 01:16:38 v1.10 @ 조영욱-PC,    length 5 : 5076
10/20/09 01:16:38 v1.10 @ 조영욱-PC,    length 6 : 2899
10/20/09 01:16:38 v1.10 @ 조영욱-PC,    length 7 : 1552
10/20/09 01:16:38 v1.10 @ 조영욱-PC,    length 9+: 1489
10/20/09 01:16:38 v1.10 @ 조영욱-PC, largest cycle: 16 relations
10/20/09 01:16:38 v1.10 @ 조영욱-PC, matrix is 65244 x 65330 (15.6 MB) with weight 3561192 (54.51/col)
10/20/09 01:16:38 v1.10 @ 조영욱-PC, sparse part has weight 3561192 (54.51/col)
10/20/09 01:16:38 v1.10 @ 조영욱-PC, filtering completed in 3 passes
10/20/09 01:16:38 v1.10 @ 조영욱-PC, matrix is 60204 x 60266 (14.5 MB) with weight 3330401 (55.26/col)
10/20/09 01:16:38 v1.10 @ 조영욱-PC, sparse part has weight 3330401 (55.26/col)
10/20/09 01:16:38 v1.10 @ 조영욱-PC, saving the first 48 matrix rows for later
10/20/09 01:16:38 v1.10 @ 조영욱-PC, matrix is 60156 x 60266 (9.5 MB) with weight 2543062 (42.20/col)
10/20/09 01:16:38 v1.10 @ 조영욱-PC, sparse part has weight 1881855 (31.23/col)
10/20/09 01:16:38 v1.10 @ 조영욱-PC, matrix includes 64 packed rows
10/20/09 01:16:38 v1.10 @ 조영욱-PC, using block size 24106 for processor cache size 4096 kB
10/20/09 01:16:39 v1.10 @ 조영욱-PC, commencing Lanczos iteration
10/20/09 01:16:39 v1.10 @ 조영욱-PC, memory use: 8.6 MB
10/20/09 01:16:53 v1.10 @ 조영욱-PC, lanczos halted after 953 iterations (dim = 60150)
10/20/09 01:16:53 v1.10 @ 조영욱-PC, recovered 14 nontrivial dependencies
10/20/09 01:16:54 v1.10 @ 조영욱-PC, prp36 = 458432638558521664727323056207540619
10/20/09 01:16:55 v1.10 @ 조영욱-PC, prp54 = 821261859814952443151209166814163983713873321125972913
10/20/09 01:16:55 v1.10 @ 조영욱-PC, Lanczos elapsed time = 17.7840 seconds.
10/20/09 01:16:55 v1.10 @ 조영욱-PC, Sqrt elapsed time = 1.6230 seconds.
10/20/09 01:16:55 v1.10 @ 조영욱-PC, SIQS elapsed time = 2973.6220 seconds.
10/20/09 01:16:55 v1.10 @ 조영욱-PC, 
10/20/09 01:16:55 v1.10 @ 조영욱-PC, 
software ソフトウェア
GMP-ECM v6.2.3 / YAFU v1.10
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 19, 2009 04:00:00 UTC 2009 年 10 月 19 日 (月) 13 時 0 分 0 秒 (日本時間)

59×10138+319

c105

name 名前Jo Yeong Uk
date 日付October 19, 2009 23:09:51 UTC 2009 年 10 月 20 日 (火) 8 時 9 分 51 秒 (日本時間)
composite number 合成数
166561117674629462667400805969917378172898099683604562150617253375526486989499027211799183699847302716089<105>
prime factors 素因数
214816488267831012951485925904547340708767077033201<51>
775364679954002204097646833219325678871472956062921289<54>
factorization results 素因数分解の結果
Number: 67779_138
N=166561117674629462667400805969917378172898099683604562150617253375526486989499027211799183699847302716089
  ( 105 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=214816488267831012951485925904547340708767077033201
 r2=775364679954002204097646833219325678871472956062921289
Version: 
Total time: 5.03 hours.
Scaled time: 12.01 units (timescale=2.388).
Factorization parameters were as follows:
n: 166561117674629462667400805969917378172898099683604562150617253375526486989499027211799183699847302716089
m: 10000000000000000000000000000
deg: 5
c5: 59
c0: 3100
skew: 2.21
type: snfs
lss: 1
rlim: 1900000
alim: 1900000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1900000/1900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [950000, 1450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4048289
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 270753 x 271001
Total sieving time: 4.63 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1900000,1900000,26,26,48,48,2.3,2.3,50000
total time: 5.03 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 19, 2009 04:00:00 UTC 2009 年 10 月 19 日 (月) 13 時 0 分 0 秒 (日本時間)

59×10139+319

c108

name 名前Sinkiti Sibata
date 日付October 20, 2009 13:48:14 UTC 2009 年 10 月 20 日 (火) 22 時 48 分 14 秒 (日本時間)
composite number 合成数
211818805448309217908234727207176026830900904345340715812395900675577543737039589720487059640009573122477479<108>
prime factors 素因数
1466383660274322468742131090215645489<37>
144449785677974204985195425001317857003543007276143363103750607134733911<72>
factorization results 素因数分解の結果
Number: 65559_139
N=211818805448309217908234727207176026830900904345340715812395900675577543737039589720487059640009573122477479
  ( 108 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=1466383660274322468742131090215645489 (pp37)
 r2=144449785677974204985195425001317857003543007276143363103750607134733911 (pp72)
Version: Msieve-1.40
Total time: 5.31 hours.
Scaled time: 17.72 units (timescale=3.339).
Factorization parameters were as follows:
name: 65559_139
n: 211818805448309217908234727207176026830900904345340715812395900675577543737039589720487059640009573122477479
m: 10000000000000000000000000000
deg: 5
c5: 59
c0: 310
skew: 1.39
type: snfs
lss: 1
rlim: 1610000
alim: 1610000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1610000/1610000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [805000, 1705001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 245774 x 246022
Total sieving time: 5.14 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1610000,1610000,26,26,48,48,2.3,2.3,100000
total time: 5.31 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 19, 2009 04:00:00 UTC 2009 年 10 月 19 日 (月) 13 時 0 分 0 秒 (日本時間)

59×10140+319

c129

name 名前Dmitry Domanov
date 日付October 21, 2009 14:42:28 UTC 2009 年 10 月 21 日 (水) 23 時 42 分 28 秒 (日本時間)
composite number 合成数
199453008607023838079070199839409106867052042733553353774401098454087543645601510715530328724351254418399859063987332319806420733<129>
prime factors 素因数
31794353533825285890787673170665277009742634727<47>
6273221073510123167356629219122283975484886020536105467461277146298668332360249979<82>
factorization results 素因数分解の結果
Number: snfs129
N=199453008607023838079070199839409106867052042733553353774401098454087543645601510715530328724351254418399859063987332319806420733
  ( 129 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=31794353533825285890787673170665277009742634727 (pp47)
 r2=6273221073510123167356629219122283975484886020536105467461277146298668332360249979 (pp82)
Version: Msieve-1.40
Total time: 5.08 hours.
Scaled time: 9.97 units (timescale=1.963).
Factorization parameters were as follows:
n: 199453008607023838079070199839409106867052042733553353774401098454087543645601510715530328724351254418399859063987332319806420733
m: 10000000000000000000000000000
deg: 5
c5: 59
c0: 31
skew: 0.88
type: snfs
lss: 1
rlim: 1610000
alim: 1610000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1610000/1610000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [805000, 1705001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 234539 x 234767
Total sieving time: 4.87 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1610000,1610000,26,26,48,48,2.3,2.3,100000
total time: 5.08 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 19, 2009 04:00:00 UTC 2009 年 10 月 19 日 (月) 13 時 0 分 0 秒 (日本時間)

59×10141+319

c140

name 名前Dmitry Domanov
date 日付October 21, 2009 06:15:00 UTC 2009 年 10 月 21 日 (水) 15 時 15 分 0 秒 (日本時間)
composite number 合成数
55088702147525676937441643323996265172735760971055088702147525676937441643323996265172735760971055088702147525676937441643323996265172735761<140>
prime factors 素因数
202714043003433505522841193369798581<36>
86513847521584999083688598808746082189283<41>
3141181843994201078957348087713428893317675535697181603656810607<64>
factorization results 素因数分解の結果
Number: snfs140
N=55088702147525676937441643323996265172735760971055088702147525676937441643323996265172735760971055088702147525676937441643323996265172735761
  ( 140 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=202714043003433505522841193369798581 (pp36)
 r2=86513847521584999083688598808746082189283 (pp41)
 r3=3141181843994201078957348087713428893317675535697181603656810607 (pp64)
Version: Msieve-1.40
Total time: 6.30 hours.
Scaled time: 12.41 units (timescale=1.969).
Factorization parameters were as follows:
n: 55088702147525676937441643323996265172735760971055088702147525676937441643323996265172735760971055088702147525676937441643323996265172735761
m: 20000000000000000000000000000
deg: 5
c5: 295
c0: 496
skew: 1.11
type: snfs
lss: 1
rlim: 1760000
alim: 1760000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1760000/1760000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [880000, 1980001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 247066 x 247294
Total sieving time: 6.03 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,143.000,5,0,0,0,0,0,0,0,0,1760000,1760000,26,26,48,48,2.3,2.3,100000
total time: 6.30 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 19, 2009 04:00:00 UTC 2009 年 10 月 19 日 (月) 13 時 0 分 0 秒 (日本時間)

59×10144+319

c122

name 名前Sinkiti Sibata
date 日付October 21, 2009 02:47:21 UTC 2009 年 10 月 21 日 (水) 11 時 47 分 21 秒 (日本時間)
composite number 合成数
62742827136351740608752368348775357908083902056152539473369030841599845559493036149816207568881950588591862942514478142257<122>
prime factors 素因数
1030195935055164467478862513328465269354231688740061333<55>
60903780534711599292134161407897559561055557454763874546243443709229<68>
factorization results 素因数分解の結果
Number: 65559_144
N=62742827136351740608752368348775357908083902056152539473369030841599845559493036149816207568881950588591862942514478142257
  ( 122 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=1030195935055164467478862513328465269354231688740061333 (pp55)
 r2=60903780534711599292134161407897559561055557454763874546243443709229 (pp68)
Version: Msieve-1.40
Total time: 8.09 hours.
Scaled time: 27.01 units (timescale=3.339).
Factorization parameters were as follows:
name: 65559_144
n: 62742827136351740608752368348775357908083902056152539473369030841599845559493036149816207568881950588591862942514478142257
m: 100000000000000000000000000000
deg: 5
c5: 59
c0: 310
skew: 1.39
type: snfs
lss: 1
rlim: 1960000
alim: 1960000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1960000/1960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [980000, 2280001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 324431 x 324679
Total sieving time: 7.84 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1960000,1960000,26,26,49,49,2.3,2.3,100000
total time: 8.09 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 19, 2009 04:00:00 UTC 2009 年 10 月 19 日 (月) 13 時 0 分 0 秒 (日本時間)
786Wataru SakaiOctober 19, 2009 12:45:09 UTC 2009 年 10 月 19 日 (月) 21 時 45 分 9 秒 (日本時間)

59×10145+319

c137

name 名前Sinkiti Sibata
date 日付October 21, 2009 06:37:42 UTC 2009 年 10 月 21 日 (水) 15 時 37 分 42 秒 (日本時間)
composite number 合成数
10193718282400737754721106059786272828909474988583222552525422846892352494349708645864393004425352458771748594026866239744854004082882347<137>
prime factors 素因数
856760062815768361763837738866357554854223635115877933<54>
11897984890774166492465857218086872188431455311420879587059651870192417086397727159<83>
factorization results 素因数分解の結果
Number: 65559_145
N=10193718282400737754721106059786272828909474988583222552525422846892352494349708645864393004425352458771748594026866239744854004082882347
  ( 137 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=856760062815768361763837738866357554854223635115877933 (pp54)
 r2=11897984890774166492465857218086872188431455311420879587059651870192417086397727159 (pp83)
Version: Msieve-1.40
Total time: 7.57 hours.
Scaled time: 25.27 units (timescale=3.339).
Factorization parameters were as follows:
name: 65559_145
n: 10193718282400737754721106059786272828909474988583222552525422846892352494349708645864393004425352458771748594026866239744854004082882347
m: 100000000000000000000000000000
deg: 5
c5: 59
c0: 31
skew: 0.88
type: snfs
lss: 1
rlim: 1960000
alim: 1960000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1960000/1960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [980000, 2180001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 335250 x 335498
Total sieving time: 7.31 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1960000,1960000,26,26,49,49,2.3,2.3,100000
total time: 7.57 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 19, 2009 04:00:00 UTC 2009 年 10 月 19 日 (月) 13 時 0 分 0 秒 (日本時間)
786Wataru SakaiOctober 19, 2009 14:01:53 UTC 2009 年 10 月 19 日 (月) 23 時 1 分 53 秒 (日本時間)

59×10148+319

c103

name 名前Lionel Debroux
date 日付October 20, 2009 05:54:27 UTC 2009 年 10 月 20 日 (火) 14 時 54 分 27 秒 (日本時間)
composite number 合成数
6689897372314829253031322880269310476024668892292054776187400625966564530383884672709397008871869608623<103>
prime factors 素因数
60042495029962113831175878010034866884047<41>
111419376709386730266055919954390268992184409379699350676792609<63>
factorization results 素因数分解の結果
Number: 65559_148
N=6689897372314829253031322880269310476024668892292054776187400625966564530383884672709397008871869608623
  ( 103 digits)
Divisors found:
 r1=60042495029962113831175878010034866884047 (pp41)
 r2=111419376709386730266055919954390268992184409379699350676792609 (pp63)
Version: Msieve v. 1.44
Total time: 13.01 hours.
Scaled time: 19.63 units (timescale=1.509).
Factorization parameters were as follows:
name: 65559_148
n: 6689897372314829253031322880269310476024668892292054776187400625966564530383884672709397008871869608623
skew: 5385.20
# norm 3.23e+14
c5: 519360
c4: -1126803032
c3: -37922374639378
c2: 42052036895894335
c1: 7654416014436206220
c0: -343397591649440870896800
# alpha -6.51
Y1: 2856422107
Y0: -26423492031371032309
# Murphy_E 2.36e-09
# M 4414740576895752756429830961025563153776401794061336229152725799050742962692043342322830049977452821193
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 2150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 201618 x 201844
Polynomial selection time: 0.56 hours.
Total sieving time: 12.20 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 13.01 hours.
 --------- CPU info (if available) ----------
[    0.029439] CPU0: Intel(R) Core(TM)2 CPU         T7200  @ 2.00GHz stepping 06
[    0.101689] CPU1: Intel(R) Core(TM)2 CPU         T7200  @ 2.00GHz stepping 06
[    0.000000] Memory: 2043420k/2096800k available (7091k kernel code, 452k absent, 52268k reserved, 3271k data, 540k init)
[    0.000999] Calibrating delay loop (skipped), value calculated using timer frequency.. 3990.57 BogoMIPS (lpj=1995288)
[    0.000999] Calibrating delay using timer specific routine.. 3989.82 BogoMIPS (lpj=1994913)
[    0.102027] Total of 2 processors activated (7980.40 BogoMIPS).
software ソフトウェア
GGNFS + Msieve
execution environment 実行環境
Core 2 Duo T7200, 2 GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 19, 2009 04:00:00 UTC 2009 年 10 月 19 日 (月) 13 時 0 分 0 秒 (日本時間)
786Wataru SakaiOctober 19, 2009 12:45:28 UTC 2009 年 10 月 19 日 (月) 21 時 45 分 28 秒 (日本時間)

59×10150+319

c95

name 名前Sinkiti Sibata
date 日付October 19, 2009 22:51:07 UTC 2009 年 10 月 20 日 (火) 7 時 51 分 7 秒 (日本時間)
composite number 合成数
18951083462881521115582752429191411052867539550272427835447499040608071744746902067374626321903<95>
prime factors 素因数
444429722052295448763841071950487303554810699<45>
42641350302515484249310749133351387744656981445997<50>
factorization results 素因数分解の結果
Mon Oct 19 22:33:28 2009  Msieve v. 1.42
Mon Oct 19 22:33:28 2009  random seeds: 12967db8 e38ac4e7
Mon Oct 19 22:33:28 2009  factoring 18951083462881521115582752429191411052867539550272427835447499040608071744746902067374626321903 (95 digits)
Mon Oct 19 22:33:29 2009  searching for 15-digit factors
Mon Oct 19 22:33:29 2009  commencing quadratic sieve (95-digit input)
Mon Oct 19 22:33:29 2009  using multiplier of 1
Mon Oct 19 22:33:29 2009  using 64kb Opteron sieve core
Mon Oct 19 22:33:29 2009  sieve interval: 18 blocks of size 65536
Mon Oct 19 22:33:29 2009  processing polynomials in batches of 6
Mon Oct 19 22:33:29 2009  using a sieve bound of 2124667 (78824 primes)
Mon Oct 19 22:33:29 2009  using large prime bound of 310201382 (28 bits)
Mon Oct 19 22:33:29 2009  using double large prime bound of 1927341365434108 (43-51 bits)
Mon Oct 19 22:33:29 2009  using trial factoring cutoff of 51 bits
Mon Oct 19 22:33:29 2009  polynomial 'A' values have 12 factors
Tue Oct 20 00:53:14 2009  79064 relations (19624 full + 59440 combined from 1168935 partial), need 78920
Tue Oct 20 00:53:14 2009  begin with 1188559 relations
Tue Oct 20 00:53:15 2009  reduce to 205061 relations in 12 passes
Tue Oct 20 00:53:15 2009  attempting to read 205061 relations
Tue Oct 20 00:53:16 2009  recovered 205061 relations
Tue Oct 20 00:53:16 2009  recovered 187902 polynomials
Tue Oct 20 00:53:16 2009  attempting to build 79064 cycles
Tue Oct 20 00:53:16 2009  found 79064 cycles in 6 passes
Tue Oct 20 00:53:16 2009  distribution of cycle lengths:
Tue Oct 20 00:53:16 2009     length 1 : 19624
Tue Oct 20 00:53:16 2009     length 2 : 13937
Tue Oct 20 00:53:16 2009     length 3 : 13165
Tue Oct 20 00:53:16 2009     length 4 : 10815
Tue Oct 20 00:53:16 2009     length 5 : 7949
Tue Oct 20 00:53:16 2009     length 6 : 5413
Tue Oct 20 00:53:16 2009     length 7 : 3545
Tue Oct 20 00:53:16 2009     length 9+: 4616
Tue Oct 20 00:53:16 2009  largest cycle: 21 relations
Tue Oct 20 00:53:17 2009  matrix is 78824 x 79064 (22.1 MB) with weight 5156821 (65.22/col)
Tue Oct 20 00:53:17 2009  sparse part has weight 5156821 (65.22/col)
Tue Oct 20 00:53:18 2009  filtering completed in 3 passes
Tue Oct 20 00:53:18 2009  matrix is 74759 x 74821 (21.0 MB) with weight 4910309 (65.63/col)
Tue Oct 20 00:53:18 2009  sparse part has weight 4910309 (65.63/col)
Tue Oct 20 00:53:18 2009  saving the first 48 matrix rows for later
Tue Oct 20 00:53:18 2009  matrix is 74711 x 74821 (13.8 MB) with weight 3918099 (52.37/col)
Tue Oct 20 00:53:18 2009  sparse part has weight 2879909 (38.49/col)
Tue Oct 20 00:53:18 2009  matrix includes 64 packed rows
Tue Oct 20 00:53:18 2009  using block size 21845 for processor cache size 512 kB
Tue Oct 20 00:53:18 2009  commencing Lanczos iteration
Tue Oct 20 00:53:18 2009  memory use: 12.7 MB
Tue Oct 20 00:53:52 2009  lanczos halted after 1184 iterations (dim = 74710)
Tue Oct 20 00:53:52 2009  recovered 17 nontrivial dependencies
Tue Oct 20 00:53:53 2009  prp45 factor: 444429722052295448763841071950487303554810699
Tue Oct 20 00:53:53 2009  prp50 factor: 42641350302515484249310749133351387744656981445997
Tue Oct 20 00:53:53 2009  elapsed time 02:20:25

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 19, 2009 04:00:00 UTC 2009 年 10 月 19 日 (月) 13 時 0 分 0 秒 (日本時間)

59×10152+319

c138

name 名前Erik Branger
date 日付November 2, 2009 11:31:54 UTC 2009 年 11 月 2 日 (月) 20 時 31 分 54 秒 (日本時間)
composite number 合成数
376284014650024403464688154317761647052634033520374653105045692233247804740445138130561820412152041878569194583325890024179836183919186021<138>
prime factors 素因数
5989047883343168355118336561559445805153409691369558165139<58>
62828686959834010448240898643866203654300950428702935348705432337206310724710439<80>
factorization results 素因数分解の結果
Number: 65559_152
N=376284014650024403464688154317761647052634033520374653105045692233247804740445138130561820412152041878569194583325890024179836183919186021
  ( 138 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=5989047883343168355118336561559445805153409691369558165139 (pp58)
 r2=62828686959834010448240898643866203654300950428702935348705432337206310724710439 (pp80)
Version: Msieve-1.40
Total time: 24.70 hours.
Scaled time: 24.90 units (timescale=1.008).
Factorization parameters were as follows:
n: 376284014650024403464688154317761647052634033520374653105045692233247804740445138130561820412152041878569194583325890024179836183919186021
m: 2000000000000000000000000000000
deg: 5
c5: 1475
c0: 248
skew: 0.70
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, 2500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 543593 x 543818
Total sieving time: 23.50 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.80 hours.
Time per square root: 0.28 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: 24.70 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
3025e40--
351e6118 / 904Makoto KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)

59×10154+319

c116

name 名前Serge Batalov
date 日付October 30, 2009 07:38:34 UTC 2009 年 10 月 30 日 (金) 16 時 38 分 34 秒 (日本時間)
composite number 合成数
78959225219781891923458930402768451143033997173774407579288336080626146904117758544298386958172385780163401207720267<116>
prime factors 素因数
11515653024662605644224396059681<32>
6856686724641505888344919729757159600810076382419241778190435348457495481603278102507<85>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3333432130
Step 1 took 2768ms
Step 2 took 1908ms
********** Factor found in step 2: 11515653024662605644224396059681
Found probable prime factor of 32 digits: 11515653024662605644224396059681
Probable prime cofactor has 85 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)

59×10155+319

c147

name 名前Jo Yeong Uk
date 日付November 8, 2009 02:34:34 UTC 2009 年 11 月 8 日 (日) 11 時 34 分 34 秒 (日本時間)
composite number 合成数
899839960732960711222255438670508322602943884295822813523593072688578946213134106435594072781082341661234885691494267087353195443745889379497344551<147>
prime factors 素因数
82384832793625986764249254072567903<35>
10922398337410720857723866317273548007359511055401276844847935368467831986721558208027076999570364927664168943417<113>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 899839960732960711222255438670508322602943884295822813523593072688578946213134106435594072781082341661234885691494267087353195443745889379497344551 (147 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3405593309
Step 1 took 4664ms
Step 2 took 4649ms
********** Factor found in step 2: 82384832793625986764249254072567903
Found probable prime factor of 35 digits: 82384832793625986764249254072567903
Probable prime cofactor 10922398337410720857723866317273548007359511055401276844847935368467831986721558208027076999570364927664168943417 has 113 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)

59×10156+319

c116

name 名前Jo Yeong Uk
date 日付November 12, 2009 00:59:45 UTC 2009 年 11 月 12 日 (木) 9 時 59 分 45 秒 (日本時間)
composite number 合成数
14077713653404588690555756672692970008608629107471571113503341492890083842753884124196001195304510019047009059050747<116>
prime factors 素因数
3012983645866773188165757444214891<34>
4672349839242065027594979758740290110260235772594442708775254177171296529449693617<82>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 14077713653404588690555756672692970008608629107471571113503341492890083842753884124196001195304510019047009059050747 (116 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=5651182032
Step 1 took 2692ms
Step 2 took 1917ms
********** Factor found in step 2: 3012983645866773188165757444214891
Found probable prime factor of 34 digits: 3012983645866773188165757444214891
Probable prime cofactor 4672349839242065027594979758740290110260235772594442708775254177171296529449693617 has 82 digits
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)

59×10158+319

c123

name 名前Markus Tervooren
date 日付November 15, 2009 10:24:10 UTC 2009 年 11 月 15 日 (日) 19 時 24 分 10 秒 (日本時間)
composite number 合成数
525718769133710523653027683631105261421509093029825731752283277983185064180697266071063641221234058361239671692676215193773<123>
prime factors 素因数
1812636648515138557638066389371724168451964749993906970903<58>
290029868680170784800973912514904723261070414310744029102462787291<66>
factorization results 素因数分解の結果
N=525718769133710523653027683631105261421509093029825731752283277983185064180697266071063641221234058361239671692676215193773
  ( 123 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=1812636648515138557638066389371724168451964749993906970903 (pp58)
 r2=290029868680170784800973912514904723261070414310744029102462787291 (pp66)
Version: Msieve-1.41
Total time: 24.56 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 525718769133710523653027683631105261421509093029825731752283277983185064180697266071063641221234058361239671692676215193773
m: 50000000000000000000000000000000
deg: 5
c5: 472
c0: 775
skew: 1.10
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5

Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [1000000, 5000001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 543990 x 544236
Total sieving time: 23.95 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.34 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,2000000,2000000,29,29,56,56,2.5,2.5,800000
total time: 24.56 hours.
 --------- CPU info (if available) ----------
[    0.144009] CPU0: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.236014] CPU1: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.333347] CPU2: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.432500] CPU3: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.004000] Memory: 8197988k/10485760k available (2226k kernel code, 189848k reserved, 1082k data, 392k init)
[    0.083990] Calibrating delay using timer specific routine.. 5337.18 BogoMIPS (lpj=10674366)
[    0.156009] Calibrating delay using timer specific routine.. 5333.33 BogoMIPS (lpj=10666675)
[    0.256016] Calibrating delay using timer specific routine.. 5333.38 BogoMIPS (lpj=10666763)
[    0.352018] Calibrating delay using timer specific routine.. 5333.36 BogoMIPS (lpj=10666735)
[    0.437221] Total of 4 processors activated (21337.26 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)

59×10159+319

c135

name 名前Jo Yeong Uk
date 日付November 17, 2009 09:31:05 UTC 2009 年 11 月 17 日 (火) 18 時 31 分 5 秒 (日本時間)
composite number 合成数
192336129433853713462743799811065807296497118520268229199178231611199978210902456189888686092410750956991535069761582060175816921723261<135>
prime factors 素因数
2549878433376721403304445956812713905944758972355130839<55>
75429529077254560793474090742639833438562153315193101308443515089992511037341899<80>
factorization results 素因数分解の結果
Number: 65559_159
N=192336129433853713462743799811065807296497118520268229199178231611199978210902456189888686092410750956991535069761582060175816921723261
  ( 135 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=2549878433376721403304445956812713905944758972355130839
 r2=75429529077254560793474090742639833438562153315193101308443515089992511037341899
Version: 
Total time: 17.49 hours.
Scaled time: 41.79 units (timescale=2.390).
Factorization parameters were as follows:
n: 192336129433853713462743799811065807296497118520268229199178231611199978210902456189888686092410750956991535069761582060175816921723261
m: 100000000000000000000000000000000
deg: 5
c5: 59
c0: 310
skew: 1.39
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, 3300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9616962
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 621680 x 621928
Total sieving time: 15.89 hours.
Total relation processing time: 0.71 hours.
Matrix solve time: 0.80 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 17.49 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672338)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672382)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)

59×10161+319

c148

name 名前Jo Yeong Uk
date 日付November 20, 2009 14:38:27 UTC 2009 年 11 月 20 日 (金) 23 時 38 分 27 秒 (日本時間)
composite number 合成数
9653499170737935827020930703101546284142908607431751644711794372056984430617103889827634872490523601821211444382589425755902035305126233259825210197<148>
prime factors 素因数
16143737774649079582774376407801783420888231<44>
597971752607197952577929926186380895991725103128877040652814302508296522632908336217817296076502480481187<105>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 9653499170737935827020930703101546284142908607431751644711794372056984430617103889827634872490523601821211444382589425755902035305126233259825210197 (148 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=5772938245
Step 1 took 4633ms
Step 2 took 4586ms
********** Factor found in step 2: 16143737774649079582774376407801783420888231
Found probable prime factor of 44 digits: 16143737774649079582774376407801783420888231
Probable prime cofactor 597971752607197952577929926186380895991725103128877040652814302508296522632908336217817296076502480481187 has 105 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)

59×10162+319

c159

name 名前Dmitry Domanov
date 日付November 10, 2009 09:22:22 UTC 2009 年 11 月 10 日 (火) 18 時 22 分 22 秒 (日本時間)
composite number 合成数
553725446030539366125141950802901896744282080881455828664207750279209017278110951563101237904853075053260879766496794962036958827228275661420352694953590299481<159>
prime factors 素因数
1603806001192770510753527225209719940802414193940206966754019963<64>
345257123130058654867239834949430629892606823120856523120868703933491053735726127484325472092987<96>
factorization results 素因数分解の結果
Number: s159
N=553725446030539366125141950802901896744282080881455828664207750279209017278110951563101237904853075053260879766496794962036958827228275661420352694953590299481
  ( 159 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=1603806001192770510753527225209719940802414193940206966754019963 (pp64)
 r2=345257123130058654867239834949430629892606823120856523120868703933491053735726127484325472092987 (pp96)
Version: Msieve-1.40
Total time: 42.53 hours.
Scaled time: 77.11 units (timescale=1.813).
Factorization parameters were as follows:
n: 553725446030539366125141950802901896744282080881455828664207750279209017278110951563101237904853075053260879766496794962036958827228275661420352694953590299481
m: 200000000000000000000000000000000
deg: 5
c5: 1475
c0: 248
skew: 0.70
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 4450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 832432 x 832658
Total sieving time: 41.20 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.90 hours.
Time per square root: 0.34 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 42.53 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)

59×10163+319

c110

name 名前Wataru Sakai
date 日付November 4, 2009 12:25:08 UTC 2009 年 11 月 4 日 (水) 21 時 25 分 8 秒 (日本時間)
composite number 合成数
22042802225254174109106665998091947695356540831548864455686161971444546925319038292911040678215849501083317519<110>
prime factors 素因数
28333720901589950932983121220696385373<38>
777970613242584704317750496597008213030025384705460732425451218674131803<72>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1029933060
Step 1 took 30438ms
Step 2 took 12835ms
********** Factor found in step 2: 28333720901589950932983121220696385373
Found probable prime factor of 38 digits: 28333720901589950932983121220696385373
Probable prime cofactor 777970613242584704317750496597008213030025384705460732425451218674131803 has 72 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 KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)

59×10164+319

c149

name 名前Wataru Sakai
date 日付November 6, 2009 12:05:34 UTC 2009 年 11 月 6 日 (金) 21 時 5 分 34 秒 (日本時間)
composite number 合成数
10794192643460511550358842687684288225329424751924849646078286445261433213197690247695112312597914039547242749525131175298257262930662847388306791507<149>
prime factors 素因数
632793202179705926119343697193231<33>
composite cofactor 合成数の残り
17058009798902811382752770514092749096039916701396886379742470377517403076500372505435723966037254679924690425475197<116>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3331270017
Step 1 took 47229ms
Step 2 took 16627ms
********** Factor found in step 2: 632793202179705926119343697193231
Found probable prime factor of 33 digits: 632793202179705926119343697193231
Composite cofactor 17058009798902811382752770514092749096039916701396886379742470377517403076500372505435723966037254679924690425475197 has 116 digits
software ソフトウェア
GMP-ECM 6.2.1

c116

name 名前Erik Branger
date 日付November 13, 2009 15:12:19 UTC 2009 年 11 月 14 日 (土) 0 時 12 分 19 秒 (日本時間)
composite number 合成数
17058009798902811382752770514092749096039916701396886379742470377517403076500372505435723966037254679924690425475197<116>
prime factors 素因数
34802044557813893139042598653269252013977947167193<50>
490143898602442290601560520700188756718313923047228378482398716229<66>
factorization results 素因数分解の結果
Number: 65559_164
N=17058009798902811382752770514092749096039916701396886379742470377517403076500372505435723966037254679924690425475197
  ( 116 digits)
Divisors found:
 r1=34802044557813893139042598653269252013977947167193 (pp50)
 r2=490143898602442290601560520700188756718313923047228378482398716229 (pp66)
Version: Msieve v. 1.43
Total time: 32.74 hours.
Scaled time: 30.19 units (timescale=0.922).
Factorization parameters were as follows:
name: 65559_164
n: 17058009798902811382752770514092749096039916701396886379742470377517403076500372505435723966037254679924690425475197
skew: 28874.31
# norm 6.29e+015
c5: 38700
c4: 4290288453
c3: 226518079060538
c2: -3620472774476150580
c1: -58323442579984867482546
c0: 430888104406967566430909160
# alpha -5.57
Y1: 782134821337
Y0: -13453736550076462582111
# Murphy_E 4.89e-010
# M 1490207370408176870324831131388133250549360282891275986372669753761505327303758919313473708023388505821334417351020
type: gnfs
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1700000, 3000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 530195 x 530424
Polynomial selection time: 3.13 hours.
Total sieving time: 28.46 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.62 hours.
Time per square root: 0.38 hours.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3400000,3400000,27,27,53,53,2.5,2.5,100000
total time: 32.74 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiNovember 8, 2009 07:02:39 UTC 2009 年 11 月 8 日 (日) 16 時 2 分 39 秒 (日本時間)

59×10166+319

c121

name 名前Wataru Sakai
date 日付October 30, 2009 11:24:39 UTC 2009 年 10 月 30 日 (金) 20 時 24 分 39 秒 (日本時間)
composite number 合成数
7792739927328963442912443649874942916594000319630118347040067276249735662028104985265060155993902800171208044688852327999<121>
prime factors 素因数
80699902067736399108835652452339219<35>
96564428551450245513740093588018269772203313974459102582096055520689780511463138067621<86>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1299118853
Step 1 took 34255ms
Step 2 took 13280ms
********** Factor found in step 2: 80699902067736399108835652452339219
Found probable prime factor of 35 digits: 80699902067736399108835652452339219
Probable prime cofactor 96564428551450245513740093588018269772203313974459102582096055520689780511463138067621 has 86 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 KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)

59×10167+319

c158

name 名前Dmitry Domanov
date 日付November 28, 2009 19:12:02 UTC 2009 年 11 月 29 日 (日) 4 時 12 分 2 秒 (日本時間)
composite number 合成数
28162750436427633795391345241974761470071604276095120931948649687067221159896234746405373333713070886324764143370807972283060862326022280203040781466618406483<158>
prime factors 素因数
180807571184022017815614490573920266850012827<45>
155760902333919403469684574721889190589532983161655736580938118674989762881341704303010429704566137565650015823529<114>
factorization results 素因数分解の結果
Number: s158
N=28162750436427633795391345241974761470071604276095120931948649687067221159896234746405373333713070886324764143370807972283060862326022280203040781466618406483
  ( 158 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=180807571184022017815614490573920266850012827 (pp45)
 r2=155760902333919403469684574721889190589532983161655736580938118674989762881341704303010429704566137565650015823529 (pp114)
Version: Msieve-1.40
Total time: 63.41 hours.
Scaled time: 119.39 units (timescale=1.883).
Factorization parameters were as follows:
n: 28162750436427633795391345241974761470071604276095120931948649687067221159896234746405373333713070886324764143370807972283060862326022280203040781466618406483
m: 2000000000000000000000000000000000
deg: 5
c5: 1475
c0: 248
skew: 0.70
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor 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, 5950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1020495 x 1020720
Total sieving time: 61.85 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.31 hours.
Time per square root: 0.14 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: 63.41 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 KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiNovember 18, 2009 15:14:57 UTC 2009 年 11 月 19 日 (木) 0 時 14 分 57 秒 (日本時間)

59×10168+319

c149

name 名前Wataru Sakai
date 日付November 9, 2009 13:39:14 UTC 2009 年 11 月 9 日 (月) 22 時 39 分 14 秒 (日本時間)
composite number 合成数
32720022180902715157960066936060530551537155122266692041779685533665594290305052506723741169419912723868424378494993064254628792970362542597452484289<149>
prime factors 素因数
163345949950143193676363320218134933<36>
200311193457135555149111399446648559579409439169411343631410357357163826821990473660434904444886971998129104305533<114>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2903774802
Step 1 took 47356ms
Step 2 took 16435ms
********** Factor found in step 2: 163345949950143193676363320218134933
Found probable prime factor of 36 digits: 163345949950143193676363320218134933
Probable prime cofactor 200311193457135555149111399446648559579409439169411343631410357357163826821990473660434904444886971998129104305533 has 114 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 KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)

59×10171+319

c156

name 名前Wataru Sakai
date 日付November 19, 2009 12:24:59 UTC 2009 年 11 月 19 日 (木) 21 時 24 分 59 秒 (日本時間)
composite number 合成数
709901700813934122901802502402367249181252337589668780357331024430351332788987150994738893143342295503209777850592789994999751535214753692791738375677251803<156>
prime factors 素因数
2356463302077488153069650734241665823<37>
301257269819596050498849046453150412524164514988049351771398639204280300958087733288868202951958003834996085783952664261<120>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2957564567
Step 1 took 52204ms
Step 2 took 17141ms
********** Factor found in step 2: 2356463302077488153069650734241665823
Found probable prime factor of 37 digits: 2356463302077488153069650734241665823
Probable prime cofactor 301257269819596050498849046453150412524164514988049351771398639204280300958087733288868202951958003834996085783952664261 has 120 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 KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)

59×10172+319

c139

name 名前Markus Tervooren
date 日付November 3, 2010 12:25:51 UTC 2010 年 11 月 3 日 (水) 21 時 25 分 51 秒 (日本時間)
composite number 合成数
5395840668253810429175523074702279751972249784632233306025708119795450589527810055722171083186228408274765304791724585618963471949587101969<139>
prime factors 素因数
28382571620968478716435210272809565506696363554499044387951<59>
190111056190111779501126877874004994334460750294375439195967579143784376985825919<81>
factorization results 素因数分解の結果
Msieve v. 1.47
Wed Nov  3 11:52:40 2010
random seeds: df336888 a2fd0ff3
factoring 5395840668253810429175523074702279751972249784632233306025708119795450589527810055722171083186228408274765304791724585618963471949587101969 (139 digits)
no P-1/P+1/ECM available, skipping
commencing number field sieve (139-digit input)
R0: -10000000000000000000000000000000000
R1:  1
A0:  31
A1:  0
A2:  0
A3:  0
A4:  0
A5:  5900
skew 0.35, size 2.092e-12, alpha 0.744, combined = 1.333e-10 rroots = 1

commencing relation filtering
estimated available RAM is 8003.8 MB
commencing duplicate removal, pass 1
read 10M relations
read 20M relations
read 30M relations
error -5 reading relation 36198586
found 5984746 hash collisions in 36442251 relations
added 165 free relations
commencing duplicate removal, pass 2
found 5107151 duplicates and 31335265 unique relations
memory use: 165.2 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 945.1 MB
keeping 30957813 ideals with weight <= 200, target excess is 180527
commencing in-memory singleton removal
begin with 31335264 relations and 30957813 unique ideals
reduce to 14182581 relations and 10856981 ideals in 14 passes
max relations containing the same ideal: 121
removing 2010329 relations and 1610329 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 12172252 relations and 10856981 unique ideals
reduce to 12033901 relations and 9103971 ideals in 7 passes
max relations containing the same ideal: 107
removing 1505934 relations and 1105934 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 10527967 relations and 9103971 unique ideals
reduce to 10429936 relations and 7897172 ideals in 7 passes
max relations containing the same ideal: 100
removing 1340102 relations and 940102 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9089834 relations and 7897172 unique ideals
reduce to 8997180 relations and 6861399 ideals in 6 passes
max relations containing the same ideal: 90
removing 1271912 relations and 871912 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 7725268 relations and 6861399 unique ideals
reduce to 7634068 relations and 5894996 ideals in 7 passes
max relations containing the same ideal: 86
removing 1200127 relations and 800127 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 6433941 relations and 5894996 unique ideals
reduce to 6334387 relations and 4991038 ideals in 8 passes
max relations containing the same ideal: 76
removing 1149498 relations and 749498 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 5184889 relations and 4991038 unique ideals
reduce to 5060110 relations and 4110064 ideals in 7 passes
max relations containing the same ideal: 64
removing 1121264 relations and 721264 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 3938846 relations and 4110064 unique ideals
reduce to 3784408 relations and 3223208 ideals in 8 passes
max relations containing the same ideal: 52
removing 987776 relations and 635988 ideals in 351788 cliques
commencing in-memory singleton removal
begin with 2796632 relations and 3223208 unique ideals
reduce to 2629161 relations and 2404267 ideals in 8 passes
max relations containing the same ideal: 37
removing 86663 relations and 71181 ideals in 15482 cliques
commencing in-memory singleton removal
begin with 2542498 relations and 2404267 unique ideals
reduce to 2541043 relations and 2331619 ideals in 4 passes
max relations containing the same ideal: 37
relations with 0 large ideals: 4375
relations with 1 large ideals: 12367
relations with 2 large ideals: 92548
relations with 3 large ideals: 326208
relations with 4 large ideals: 629238
relations with 5 large ideals: 711805
relations with 6 large ideals: 507464
relations with 7+ large ideals: 257038
commencing 2-way merge
reduce to 1708036 relation sets and 1498612 unique ideals
commencing full merge
memory use: 175.9 MB
found 879309 cycles, need 850812
weight of 850812 cycles is about 59917927 (70.42/cycle)
distribution of cycle lengths:
1 relations: 67642
2 relations: 86894
3 relations: 98877
4 relations: 97925
5 relations: 93071
6 relations: 83627
7 relations: 73141
8 relations: 61445
9 relations: 50565
10+ relations: 137625
heaviest cycle: 18 relations
commencing cycle optimization
start with 4967609 relations
pruned 163711 relations
memory use: 154.3 MB
distribution of cycle lengths:
1 relations: 67642
2 relations: 89004
3 relations: 102796
4 relations: 101920
5 relations: 97416
6 relations: 86479
7 relations: 75084
8 relations: 61751
9 relations: 49860
10+ relations: 118860
heaviest cycle: 18 relations
RelProcTime: 1244

commencing linear algebra
read 850812 cycles
cycles contain 2440208 unique relations
read 2440208 relations
using 20 quadratic characters above 536868570
building initial matrix
memory use: 308.2 MB
read 850812 cycles
matrix is 850632 x 850812 (253.9 MB) with weight 75209083 (88.40/col)
sparse part has weight 57203649 (67.23/col)
filtering completed in 2 passes
matrix is 850238 x 850418 (253.9 MB) with weight 75193355 (88.42/col)
sparse part has weight 57195971 (67.26/col)
matrix starts at (0, 0)
matrix is 850238 x 850418 (253.9 MB) with weight 75193355 (88.42/col)
sparse part has weight 57195971 (67.26/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 850190 x 850418 (240.5 MB) with weight 59890319 (70.42/col)
sparse part has weight 54529707 (64.12/col)
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (4 threads)
memory use: 209.2 MB
linear algebra at 0.4%, ETA 0h46m850418 dimensions (0.4%, ETA 0h46m)    
linear algebra completed 849889 of 850418 dimensions (99.9%, ETA 0h 0m)    
lanczos halted after 13445 iterations (dim = 850190)
recovered 41 nontrivial dependencies
BLanczosTime: 3679

commencing square root phase
reading relations for dependency 1
read 424545 cycles
cycles contain 1218440 unique relations
read 1218440 relations
multiplying 1218440 relations
multiply complete, coefficients have about 41.09 million bits
initial square root is modulo 792581
sqrtTime: 572
prp59 factor: 28382571620968478716435210272809565506696363554499044387951
prp81 factor: 190111056190111779501126877874004994334460750294375439195967579143784376985825919
elapsed time 01:31:36

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiNovember 30, 2009 15:07:47 UTC 2009 年 12 月 1 日 (火) 0 時 7 分 47 秒 (日本時間)

59×10173+319

c173

name 名前Robert Backstrom
date 日付November 9, 2009 07:02:48 UTC 2009 年 11 月 9 日 (月) 16 時 2 分 48 秒 (日本時間)
composite number 合成数
38562091503267973856209150326797385620915032679738562091503267973856209150326797385620915032679738562091503267973856209150326797385620915032679738562091503267973856209150327<173>
prime factors 素因数
4177250313399903945138253417266710121030087934303335833373800887<64>
9231453374859386654199536787033338094395429597865246821904001952487028953910042143288170856206510706346989121<109>
factorization results 素因数分解の結果
Number: n
N=38562091503267973856209150326797385620915032679738562091503267973856209150326797385620915032679738562091503267973856209150326797385620915032679738562091503267973856209150327
  ( 173 digits)
SNFS difficulty: 176 digits.
Divisors found:

Mon Nov 09 17:57:11 2009  prp64 factor: 4177250313399903945138253417266710121030087934303335833373800887
Mon Nov 09 17:57:11 2009  prp109 factor: 9231453374859386654199536787033338094395429597865246821904001952487028953910042143288170856206510706346989121
Mon Nov 09 17:57:11 2009  elapsed time 03:30:32 (Msieve 1.43 - dependency 3)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 116.60 hours.
Scaled time: 212.56 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_6_5_172_9
n: 38562091503267973856209150326797385620915032679738562091503267973856209150326797385620915032679738562091503267973856209150326797385620915032679738562091503267973856209150327
m: 50000000000000000000000000000000000
deg: 5
c5: 472
c0: 775
skew: 1.10
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [3000000, 8200000)
Primes: RFBsize:412849, AFBsize:412487, largePrimes:21228147 encountered
Relations: rels:21095842, finalFF:563665
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3202566 hash collisions in 24388453 relations
Msieve: matrix is 1106425 x 1106655 (295.8 MB)

Total sieving time: 115.54 hours.
Total relation processing time: 1.06 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,56,56,2.5,2.5,100000
total time: 116.60 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)

59×10174+319

c124

name 名前Serge Batalov
date 日付October 30, 2009 07:39:10 UTC 2009 年 10 月 30 日 (金) 16 時 39 分 10 秒 (日本時間)
composite number 合成数
3759245259312576734439038868125624116400788257829377989714763014741680137011111255262077223917847710429201940323339067335863<124>
prime factors 素因数
3665302763719338852949381637894473<34>
composite cofactor 合成数の残り
1025630214377682248913408120542627988922255145298292474518193455947066469922875791085266431<91>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1424803983
Step 1 took 2564ms
********** Factor found in step 1: 3665302763719338852949381637894473
Found probable prime factor of 34 digits: 3665302763719338852949381637894473
Composite cofactor has 91 digits

c91

name 名前Sinkiti Sibata
date 日付October 31, 2009 04:19:04 UTC 2009 年 10 月 31 日 (土) 13 時 19 分 4 秒 (日本時間)
composite number 合成数
1025630214377682248913408120542627988922255145298292474518193455947066469922875791085266431<91>
prime factors 素因数
1673659438408664325758148924770227<34>
612806996955643428028548588301906533880212069329060037253<57>
factorization results 素因数分解の結果
Sat Oct 31 11:29:05 2009  Msieve v. 1.42
Sat Oct 31 11:29:05 2009  random seeds: 27e0594c 2c6ccd51
Sat Oct 31 11:29:05 2009  factoring 1025630214377682248913408120542627988922255145298292474518193455947066469922875791085266431 (91 digits)
Sat Oct 31 11:29:06 2009  searching for 15-digit factors
Sat Oct 31 11:29:07 2009  commencing quadratic sieve (91-digit input)
Sat Oct 31 11:29:07 2009  using multiplier of 39
Sat Oct 31 11:29:07 2009  using 32kb Intel Core sieve core
Sat Oct 31 11:29:07 2009  sieve interval: 36 blocks of size 32768
Sat Oct 31 11:29:07 2009  processing polynomials in batches of 6
Sat Oct 31 11:29:07 2009  using a sieve bound of 1652503 (62270 primes)
Sat Oct 31 11:29:07 2009  using large prime bound of 145420264 (27 bits)
Sat Oct 31 11:29:07 2009  using double large prime bound of 492861412574344 (42-49 bits)
Sat Oct 31 11:29:07 2009  using trial factoring cutoff of 49 bits
Sat Oct 31 11:29:07 2009  polynomial 'A' values have 12 factors
Sat Oct 31 13:01:36 2009  62513 relations (16385 full + 46128 combined from 695793 partial), need 62366
Sat Oct 31 13:01:37 2009  begin with 712178 relations
Sat Oct 31 13:01:38 2009  reduce to 153635 relations in 10 passes
Sat Oct 31 13:01:38 2009  attempting to read 153635 relations
Sat Oct 31 13:01:40 2009  recovered 153635 relations
Sat Oct 31 13:01:40 2009  recovered 135212 polynomials
Sat Oct 31 13:01:40 2009  attempting to build 62513 cycles
Sat Oct 31 13:01:40 2009  found 62513 cycles in 5 passes
Sat Oct 31 13:01:40 2009  distribution of cycle lengths:
Sat Oct 31 13:01:40 2009     length 1 : 16385
Sat Oct 31 13:01:40 2009     length 2 : 11845
Sat Oct 31 13:01:40 2009     length 3 : 11127
Sat Oct 31 13:01:40 2009     length 4 : 8447
Sat Oct 31 13:01:40 2009     length 5 : 6027
Sat Oct 31 13:01:40 2009     length 6 : 3706
Sat Oct 31 13:01:40 2009     length 7 : 2267
Sat Oct 31 13:01:40 2009     length 9+: 2709
Sat Oct 31 13:01:40 2009  largest cycle: 17 relations
Sat Oct 31 13:01:41 2009  matrix is 62270 x 62513 (15.3 MB) with weight 3763141 (60.20/col)
Sat Oct 31 13:01:41 2009  sparse part has weight 3763141 (60.20/col)
Sat Oct 31 13:01:41 2009  filtering completed in 3 passes
Sat Oct 31 13:01:41 2009  matrix is 58420 x 58484 (14.4 MB) with weight 3545107 (60.62/col)
Sat Oct 31 13:01:42 2009  sparse part has weight 3545107 (60.62/col)
Sat Oct 31 13:01:42 2009  saving the first 48 matrix rows for later
Sat Oct 31 13:01:42 2009  matrix is 58372 x 58484 (8.7 MB) with weight 2731776 (46.71/col)
Sat Oct 31 13:01:42 2009  sparse part has weight 1934628 (33.08/col)
Sat Oct 31 13:01:42 2009  matrix includes 64 packed rows
Sat Oct 31 13:01:42 2009  using block size 23393 for processor cache size 1024 kB
Sat Oct 31 13:01:42 2009  commencing Lanczos iteration
Sat Oct 31 13:01:42 2009  memory use: 9.1 MB
Sat Oct 31 13:02:02 2009  lanczos halted after 925 iterations (dim = 58372)
Sat Oct 31 13:02:03 2009  recovered 19 nontrivial dependencies
Sat Oct 31 13:02:04 2009  prp34 factor: 1673659438408664325758148924770227
Sat Oct 31 13:02:04 2009  prp57 factor: 612806996955643428028548588301906533880212069329060037253
Sat Oct 31 13:02:04 2009  elapsed time 01:32:59

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)

59×10176+319

c150

name 名前Rich Dickerson
date 日付January 16, 2011 15:54:23 UTC 2011 年 1 月 17 日 (月) 0 時 54 分 23 秒 (日本時間)
composite number 合成数
409972392323871171637853445200091963802420128599446072590662353319773525969931916450644164024502389809555870341421037405296955493252706498988009183517<150>
prime factors 素因数
77058647232670453189720830480734110307<38>
5320264591279454959748226483753260293855639917906279910960945265598797811311009507597654687072031522721099452031<112>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3531629950
Step 1 took 39766ms
Step 2 took 15858ms
********** Factor found in step 2: 77058647232670453189720830480734110307
Found probable prime factor of 38 digits: 77058647232670453189720830480734110307
Probable prime cofactor 5320264591279454959748226483753260293855639917906279910960945265598797811311009507597654687072031522721099452031 has 112 digits
software ソフトウェア
GMP-ECM 6.3 [config GMP 5.0.1] [ECM]
execution environment 実行環境
C2D 3 GHz Mac OS X

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 652Makoto KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)
403e690 / 2318Rich DickersonJanuary 16, 2011 00:25:17 UTC 2011 年 1 月 16 日 (日) 9 時 25 分 17 秒 (日本時間)

59×10178+319

c113

name 名前Erik Branger
date 日付November 4, 2009 14:26:50 UTC 2009 年 11 月 4 日 (水) 23 時 26 分 50 秒 (日本時間)
composite number 合成数
82253100389661563231365197085823719682424676832690472227216104481816562001877507221746140576667601734398251169941<113>
prime factors 素因数
9637005396204158450469257031873149606840099171<46>
8535130676803352925904743730167548657372518054588374638333334952871<67>
factorization results 素因数分解の結果
Number: 65559_178
N=82253100389661563231365197085823719682424676832690472227216104481816562001877507221746140576667601734398251169941
  ( 113 digits)
Divisors found:
 r1=9637005396204158450469257031873149606840099171 (pp46)
 r2=8535130676803352925904743730167548657372518054588374638333334952871 (pp67)
Version: Msieve-1.40
Total time: 25.72 hours.
Scaled time: 26.06 units (timescale=1.013).
Factorization parameters were as follows:
name: 65559_178
n: 82253100389661563231365197085823719682424676832690472227216104481816562001877507221746140576667601734398251169941
skew: 12858.02
# norm 8.46e+014
c5: 162060
c4: -2600632228
c3: -43692937574329
c2: 145313605466800506
c1: 4516704750475308887274
c0: 19446884015649887308035447
# alpha -4.68
Y1: 926005928683
Y0: -3476127198522949132180
# Murphy_E 6.68e-010
# M 50982245736449504221446289649068838682897607864980664373131986764254935603578078285367076831133484162907276979025
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 464548 x 464773
Polynomial selection time: 2.10 hours.
Total sieving time: 22.63 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.51 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 25.72 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 KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiNovember 1, 2009 07:15:31 UTC 2009 年 11 月 1 日 (日) 16 時 15 分 31 秒 (日本時間)

59×10182+319

c168

name 名前Jo Yeong Uk
date 日付May 14, 2014 12:16:36 UTC 2014 年 5 月 14 日 (水) 21 時 16 分 36 秒 (日本時間)
composite number 合成数
639126039936524030358714431311728655387402250191973925630788499179868140124064811050135922965931836755782165917362984013185139705852264490875411414355449648705245851123<168>
prime factors 素因数
43574878674662070737476455438151082024701048322801486300934226087523839<71>
14667305093569042322805550451682080511271813125855639367193049447845410507150828771489613710495757<98>
factorization results 素因数分解の結果
Number: 65559_182
N=639126039936524030358714431311728655387402250191973925630788499179868140124064811050135922965931836755782165917362984013185139705852264490875411414355449648705245851123
  ( 168 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=43574878674662070737476455438151082024701048322801486300934226087523839
 r2=14667305093569042322805550451682080511271813125855639367193049447845410507150828771489613710495757
Version: 
Total time: 91.47 hours.
Scaled time: 473.88 units (timescale=5.181).
Factorization parameters were as follows:
n: 639126039936524030358714431311728655387402250191973925630788499179868140124064811050135922965931836755782165917362984013185139705852264490875411414355449648705245851123
m: 1000000000000000000000000000000000000
deg: 5
c5: 5900
c0: 31
skew: 0.35
# Murphy_E = 5.293e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 8000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19256027
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1590501 x 1590749
Total sieving time: 86.04 hours.
Total relation processing time: 2.11 hours.
Matrix solve time: 3.17 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 91.47 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49374320k/51380224k available (5220k kernel code, 1085960k absent, 919944k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.18 BogoMIPS (lpj=3400090)
Total of 12 processors activated (81602.16 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 17, 2011 12:10:01 UTC 2011 年 5 月 17 日 (火) 21 時 10 分 1 秒 (日本時間)
403e6110Ignacio SantosMay 17, 2011 12:10:01 UTC 2011 年 5 月 17 日 (火) 21 時 10 分 1 秒 (日本時間)
4511e61504 / 443732Ignacio SantosMay 17, 2011 12:10:01 UTC 2011 年 5 月 17 日 (火) 21 時 10 分 1 秒 (日本時間)
622Rich DickersonMay 2, 2012 22:33:52 UTC 2012 年 5 月 3 日 (木) 7 時 33 分 52 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:06:26 UTC 2013 年 11 月 9 日 (土) 2 時 6 分 26 秒 (日本時間)

59×10183+319

c163

name 名前Jo Yeong Uk
date 日付July 26, 2014 03:18:36 UTC 2014 年 7 月 26 日 (土) 12 時 18 分 36 秒 (日本時間)
composite number 合成数
2856814050391943788747133135785385147981291202051330098433627513756219233375260116570689737793703552219956448375798140623138671816389607177614269016439077509186159<163>
prime factors 素因数
557300016500075429624826473526797988493644996666467<51>
12498509337999445428242836650871072994328794286102341<53>
410142428130465025637567682692458229365847682780179648613697<60>
factorization results 素因数分解の結果
Number: 65559_183
N=2856814050391943788747133135785385147981291202051330098433627513756219233375260116570689737793703552219956448375798140623138671816389607177614269016439077509186159
  ( 163 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=557300016500075429624826473526797988493644996666467
 r2=12498509337999445428242836650871072994328794286102341
 r3=410142428130465025637567682692458229365847682780179648613697
Version: 
Total time: 96.72 hours.
Scaled time: 508.65 units (timescale=5.259).
Factorization parameters were as follows:
n: 2856814050391943788747133135785385147981291202051330098433627513756219233375260116570689737793703552219956448375798140623138671816389607177614269016439077509186159
m: 2000000000000000000000000000000000000
deg: 5
c5: 7375
c0: 124
skew: 0.44
# Murphy_E = 4.544e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4000000, 8400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20888013
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1767996 x 1768242
Total sieving time: 89.68 hours.
Total relation processing time: 2.44 hours.
Matrix solve time: 4.12 hours.
Time per square root: 0.48 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,54,54,2.5,2.5,100000
total time: 96.72 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.41 BogoMIPS (lpj=3400205)
Total of 12 processors activated (81604.92 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 17, 2011 15:26:14 UTC 2011 年 5 月 18 日 (水) 0 時 26 分 14 秒 (日本時間)
403e6710110Ignacio SantosMay 17, 2011 15:26:14 UTC 2011 年 5 月 18 日 (水) 0 時 26 分 14 秒 (日本時間)
600Lionel DebrouxJanuary 2, 2014 10:12:52 UTC 2014 年 1 月 2 日 (木) 19 時 12 分 52 秒 (日本時間)
4511e6792 / 430432Ignacio SantosMay 17, 2011 15:26:14 UTC 2011 年 5 月 18 日 (水) 0 時 26 分 14 秒 (日本時間)
230Ignacio SantosJanuary 4, 2014 16:01:56 UTC 2014 年 1 月 5 日 (日) 1 時 1 分 56 秒 (日本時間)
230Ignacio SantosJanuary 4, 2014 18:34:24 UTC 2014 年 1 月 5 日 (日) 3 時 34 分 24 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:02 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 2 秒 (日本時間)

59×10184+319

c182

name 名前Sinkiti Sibata
date 日付November 26, 2009 23:14:41 UTC 2009 年 11 月 27 日 (金) 8 時 14 分 41 秒 (日本時間)
composite number 合成数
40997845875894656382461260510040997845875894656382461260510040997845875894656382461260510040997845875894656382461260510040997845875894656382461260510040997845875894656382461260510041<182>
prime factors 素因数
6813977917155969100374090114813988981026000167458606630278080087<64>
6016727141523583670134963894843856668867307701321458618205426905018934714457542819286019955552910616372334350104724943<118>
factorization results 素因数分解の結果
Number: 65559_184
N=40997845875894656382461260510040997845875894656382461260510040997845875894656382461260510040997845875894656382461260510040997845875894656382461260510040997845875894656382461260510041
  ( 182 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=6813977917155969100374090114813988981026000167458606630278080087 (pp64)
 r2=6016727141523583670134963894843856668867307701321458618205426905018934714457542819286019955552910616372334350104724943 (pp118)
Version: Msieve v. 1.42
Total time: 12.43 hours.
Scaled time: 9.89 units (timescale=0.796).
Factorization parameters were as follows:
name: 65559_184
n: 40997845875894656382461260510040997845875894656382461260510040997845875894656382461260510040997845875894656382461260510040997845875894656382461260510040997845875894656382461260510041
m: 10000000000000000000000000000000000000
deg: 5
c5: 59
c0: 310
skew: 1.39
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4550000, 8150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1832409 x 1832638
Total sieving time: 0.00 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 11.85 hours.
Time per square root: 0.36 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000
total time: 12.43 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.. 3721.19 BogoMIPS (lpj=1860598)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860574)
Total of 2 processors activated (7442.34 BogoMIPS).

Total time: 224 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)
403e60--
4511e6681 / 4475Dmitry DomanovNovember 13, 2009 14:54:48 UTC 2009 年 11 月 13 日 (金) 23 時 54 分 48 秒 (日本時間)

59×10186+319

c173

name 名前Rich Dickerson
date 日付April 13, 2014 01:46:27 UTC 2014 年 4 月 13 日 (日) 10 時 46 分 27 秒 (日本時間)
composite number 合成数
10939053251681864602315201419594410843134082999009019564708739950220310496557697161824691301385972178583036187756135804417008560063967787054219097387194336198181315452986469<173>
prime factors 素因数
293196450661311590352928138359443171958809<42>
37309637367739510417552293762353256549366939443146133739740042697456672876216337627364042025281215995520886756746470553543270301741<131>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1985184428
Step 1 took 25876ms
Step 2 took 8927ms
********** Factor found in step 2: 293196450661311590352928138359443171958809
Found probable prime factor of 42 digits: 293196450661311590352928138359443171958809
Probable prime cofactor 37309637367739510417552293762353256549366939443146133739740042697456672876216337627364042025281215995520886756746470553543270301741 has 131 digits
software ソフトウェア
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
execution environment 実行環境
Core-i5, 3.2 GHz, OpenSUSE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 17, 2011 15:26:35 UTC 2011 年 5 月 18 日 (水) 0 時 26 分 35 秒 (日本時間)
403e6410 / 2126110Ignacio SantosMay 17, 2011 15:26:35 UTC 2011 年 5 月 18 日 (水) 0 時 26 分 35 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:58 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 58 秒 (日本時間)
4511e632 / 4371Ignacio SantosMay 17, 2011 15:26:35 UTC 2011 年 5 月 18 日 (水) 0 時 26 分 35 秒 (日本時間)

59×10187+319

c169

name 名前Ignacio Santos
date 日付May 17, 2011 15:25:39 UTC 2011 年 5 月 18 日 (水) 0 時 25 分 39 秒 (日本時間)
composite number 合成数
2889897928699785269710589149986785383329223277539844381918077834949942397298349052990189785929757077821218748308419811962167093465036861913382891705446737499883743983889<169>
prime factors 素因数
5744515576347557199200499675827<31>
503070779475059325454360176717928522853534782049134658690481445706456390712697177204717589566593342505902205511198704049889190641454315307<138>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1749603171
Step 1 took 26161ms
Step 2 took 14789ms
********** Factor found in step 2: 5744515576347557199200499675827
Found probable prime factor of 31 digits: 5744515576347557199200499675827
Probable prime cofactor 503070779475059325454360176717928522853534782049134658690481445706456390712697177204717589566593342505902205511198704049889190641454315307 has 138 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 KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)

59×10188+319

c176

name 名前Robert Backstrom
date 日付March 3, 2012 05:18:19 UTC 2012 年 3 月 3 日 (土) 14 時 18 分 19 秒 (日本時間)
composite number 合成数
14370362928743927468531115613666151610216253302182902900685236162532264519315413497533444830531416224148996202591981784626790059197074995814363370984769961678663450652173744449<176>
prime factors 素因数
9448476331495328702164332653507617883<37>
82897253932119707200966444918668123805732259<44>
18347031760298912438731264756223189233857543069105226094672508264812212564509882418091630868817<95>
factorization results 素因数分解の結果
Number: n
N=14370362928743927468531115613666151610216253302182902900685236162532264519315413497533444830531416224148996202591981784626790059197074995814363370984769961678663450652173744449
  ( 176 digits)
SNFS difficulty: 189 digits.
Divisors found:

Sat Mar  3 15:56:16 2012  prp37 factor: 9448476331495328702164332653507617883
Sat Mar  3 15:56:16 2012  prp44 factor: 82897253932119707200966444918668123805732259
Sat Mar  3 15:56:16 2012  prp95 factor: 18347031760298912438731264756223189233857543069105226094672508264812212564509882418091630868817
Sat Mar  3 15:56:16 2012  elapsed time 04:47:53 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.660).
Factorization parameters were as follows:
name: KA_65559_188
n: 14370362928743927468531115613666151610216253302182902900685236162532264519315413497533444830531416224148996202591981784626790059197074995814363370984769961678663450652173744449
m: 10000000000000000000000000000000000000
#  c176, diff: 189.77
skew: 0.22
deg: 5
c5: 59000
c0: 31
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8660762 hash collisions in 76732562 relations (70291404 unique)
Msieve: matrix is 1442390 x 1442622 (404.1 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,189,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468)
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.. 5595.12 BogoMIPS (lpj=2797560)
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=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 17, 2011 16:58:18 UTC 2011 年 5 月 18 日 (水) 1 時 58 分 18 秒 (日本時間)
403e6110 / 2126Ignacio SantosMay 17, 2011 16:58:18 UTC 2011 年 5 月 18 日 (水) 1 時 58 分 18 秒 (日本時間)
4511e632 / 4437Ignacio SantosMay 17, 2011 16:58:18 UTC 2011 年 5 月 18 日 (水) 1 時 58 分 18 秒 (日本時間)

59×10190+319

c94

name 名前Sinkiti Sibata
date 日付October 30, 2009 05:14:34 UTC 2009 年 10 月 30 日 (金) 14 時 14 分 34 秒 (日本時間)
composite number 合成数
9848958214914575038497851680581147805444684312048313010541252541165888436426497955577193923711<94>
prime factors 素因数
9865405008537377442324456789611<31>
998332882065300959385122964248060387944996253698508642405943101<63>
factorization results 素因数分解の結果
Number: 65559_190
N=9848958214914575038497851680581147805444684312048313010541252541165888436426497955577193923711
  ( 94 digits)
Divisors found:
 r1=9865405008537377442324456789611 (pp31)
 r2=998332882065300959385122964248060387944996253698508642405943101 (pp63)
Version: Msieve-1.40
Total time: 5.33 hours.
Scaled time: 10.87 units (timescale=2.038).
Factorization parameters were as follows:
name: 65559_190
n:  9848958214914575038497851680581147805444684312048313010541252541165888436426497955577193923711
m:  4626552704081064038673
deg: 4
c4: 21496128
c3: 80594542214
c2: -148327043924384507
c1: -201872463427757100
c0: 35697740878523611215328
skew: 1635.250
type: gnfs
# adj. I(F,S) = 54.239
# E(F1,F2) = 4.784960e-05
# GGNFS version 0.77.1-20060722-pentium4 polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1256859102.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1260001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 160364 x 160593
Polynomial selection time: 0.17 hours.
Total sieving time: 5.00 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,93,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 5.33 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)

59×10191+319

c139

name 名前Eric Jeancolas
date 日付March 30, 2019 08:19:49 UTC 2019 年 3 月 30 日 (土) 17 時 19 分 49 秒 (日本時間)
composite number 合成数
1359503294981819329732958284285175123425800947498998420245518587297979953996969953958044036430276143516891858891102009687084014843950963837<139>
prime factors 素因数
72654565311809681982355986335787884255980423610357<50>
18711877074032098189371471769760929609585981967835525393069633606976551143470631395425641<89>
factorization results 素因数分解の結果
25912547*9286708141*5237017841641217*382624948782061074773*72654565311809681982355986335787884255980423610357*18711877074032098189371471769760929609585981967835525393069633606976551143470631395425641

Info:root: Using default parameter file ./parameters/factor/params.c140
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.3rjy1jfq
Info:Database: Opened connection to database /tmp/cado.3rjy1jfq/c140.db
Info:root: Set tasks.threads=12 based on detected logical cpus
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/ng/cado-nfs-2.3.0
Info:root: Command line parameters: ./cado-nfs.py 1359503294981819329732958284285175123425800947498998420245518587297979953996969953958044036430276143516891858891102009687084014843950963837
Info:root: If this computation gets interrupted, it can be resumed with ./cado-nfs.py /tmp/cado.3rjy1jfq/c140.parameters_snapshot.0
Info:Server Launcher: Adding ng-All-Series to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,ng-All-Series
Info:Complete Factorization: Factoring 1359503294981819329732958284285175123425800947498998420245518587297979953996969953958044036430276143516891858891102009687084014843950963837
Info:HTTP server: serving at https://ng-All-Series:32837 (0.0.0.0)
Info:HTTP server: For debugging purposes, the URL above can be accessed if the server.only_registered=False parameter is added
Info:HTTP server: You can start additional cado-nfs-client.py scripts with parameters: --server=https://ng-All-Series:32837 --certsha1=631849eb9601176996ec00f15a9a632ec4bedc51
Info:HTTP server: If you want to start additional clients, remember to add their hosts to server.whitelist
Info:Client Launcher: Starting client id localhost on host localhost
Info:Client Launcher: Starting client id localhost+2 on host localhost
Info:Client Launcher: Starting client id localhost+3 on host localhost
Info:Client Launcher: Starting client id localhost+4 on host localhost
Info:Client Launcher: Starting client id localhost+5 on host localhost
Info:Client Launcher: Starting client id localhost+6 on host localhost
Info:Client Launcher: Running clients: localhost (Host localhost, PID 20063), localhost+2 (Host localhost, PID 20066), localhost+3 (Host localhost, PID 20069), localhost+4 (Host localhost, PID 20072), localhost+5 (Host localhost, PID 20075), localhost+6 (Host localhost, PID 20078)
Info:Polynomial Selection (size optimized): Starting
Info:Polynomial Selection (size optimized): 0 polynomials in queue from previous run
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_0-4000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_4000-8000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_8000-12000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_12000-16000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_16000-20000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_20000-24000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_24000-28000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_28000-32000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_32000-36000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_36000-40000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_0-4000 to client localhost
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_4000-8000 to client localhost+2
Warning:HTTP server: 127.0.0.1 Connection error: [Errno 104] Connection reset by peer
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_8000-12000 to client localhost+3
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_12000-16000 to client localhost+4
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_16000-20000 to client localhost+5
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_20000-24000 to client localhost+6
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_40000-44000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_44000-48000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_48000-52000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_52000-56000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_56000-60000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_60000-64000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_24000-28000 to client localhost+3
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_64000-68000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_28000-32000 to client localhost+6
Info:Polynomial Selection (size optimized): Parsed 676 polynomials, added 300 to priority queue (has 100)
Info:Polynomial Selection (size optimized): Worst polynomial in queue now has lognorm 38.510000
Info:Polynomial Selection (size optimized): Marking workunit c140_polyselect1_8000-12000 as ok (1.0% => ETA Unknown)
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_68000-72000 to database
Info:Polynomial Selection (size optimized): Parsed 703 polynomials, added 59 to priority queue (has 100)
Info:Polynomial Selection (size optimized): Worst polynomial in queue now has lognorm 38.180000
....EJ: many similar lines
Info:Polynomial Selection (size optimized): Marking workunit c140_polyselect1_392000-396000 as ok (99.0% => ETA Thu Mar 28 21:36:02 2019)
Info:Polynomial Selection (size optimized): Parsed 660 polynomials, added 0 to priority queue (has 100)
Info:Polynomial Selection (size optimized): Marking workunit c140_polyselect1_396000-400000 as ok (100.0% => ETA Thu Mar 28 21:35:35 2019)
Info:Polynomial Selection (size optimized): Finished
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66713/41.190/49.722/54.730/0.978
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66713/40.030/44.419/50.360/1.158
Info:Polynomial Selection (size optimized): Total time: 45116.1
Info:Polynomial Selection (root optimized): Starting
Info:Polynomial Selection (root optimized): No polynomial was previously found
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_0 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_6 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_12 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_18 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_24 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_30 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_36 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_42 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_48 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_54 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_0 to client localhost+3
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_60 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_6 to client localhost+5
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_66 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_12 to client localhost+4
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_18 to client localhost
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_72 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_78 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_24 to client localhost+2
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_84 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_30 to client localhost+6
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_90 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_36 to client localhost+2
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_96 to database
Info:Polynomial Selection (root optimized): New best polynomial from file /tmp/cado.3rjy1jfq/c140.upload/c140.polyselect2.q9kg3vez.opt_24: Murphy E = 8.29e-10
Info:Polynomial Selection (root optimized): Marking workunit c140_polyselect2_24 as ok (4.0% => ETA Unknown)
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_42 to client localhost+6
Info:Polynomial Selection (root optimized): Best polynomial from file /tmp/cado.3rjy1jfq/c140.upload/c140.polyselect2.nucev22u.opt_30 with E=7.93e-10 is no better than current best with E=8.29e-10
...EJ: many similar lines
Info:Polynomial Selection (root optimized): Best polynomial from file /tmp/cado.3rjy1jfq/c140.upload/c140.polyselect2.pt_lcjia.opt_96 with E=8.24e-10 is no better than current best with E=1.06e-09
Info:Polynomial Selection (root optimized): Marking workunit c140_polyselect2_96 as ok (100.0% => ETA Thu Mar 28 21:44:36 2019)
Info:Polynomial Selection (root optimized): Finished, best polynomial from file /tmp/cado.3rjy1jfq/c140.upload/c140.polyselect2.uxoqmssm.opt_90 has Murphy_E = 1.06e-09
Info:Polynomial Selection (root optimized): Best overall polynomial was 0-th in list after size optimization
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5606.66
Info:Polynomial Selection (root optimized): Rootsieve time: 5604.75
Info:Generate Factor Base: Starting
Info:Generate Factor Base: Finished
Info:Generate Factor Base: Total cpu/real time for makefb: 23.05/2.46151
Info:Generate Free Relations: Starting
Info:Generate Free Relations: Found 121848 free relations
Info:Generate Free Relations: Finished
Info:Generate Free Relations: Total cpu/real time for freerel: 304.4/27.8194
Info:Lattice Sieving: Starting
Info:Lattice Sieving: We want 25172582 relations
Info:Lattice Sieving: Adding workunit c140_sieving_10122724-10130000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10130000-10140000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10140000-10150000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10150000-10160000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10160000-10170000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10170000-10180000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10180000-10190000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10190000-10200000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10200000-10210000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10210000-10220000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10122724-10130000 to client localhost+3
Info:Lattice Sieving: Adding workunit c140_sieving_10220000-10230000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10130000-10140000 to client localhost+4
Info:Lattice Sieving: Adding workunit c140_sieving_10230000-10240000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10140000-10150000 to client localhost+5
Info:Lattice Sieving: Adding workunit c140_sieving_10240000-10250000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10150000-10160000 to client localhost+2
Info:Lattice Sieving: Adding workunit c140_sieving_10250000-10260000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10160000-10170000 to client localhost
Info:Lattice Sieving: Adding workunit c140_sieving_10260000-10270000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10170000-10180000 to client localhost+6
Info:Lattice Sieving: Adding workunit c140_sieving_10270000-10280000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10180000-10190000 to client localhost+3
Info:Lattice Sieving: Adding workunit c140_sieving_10280000-10290000 to database
Info:Lattice Sieving: Found 19502 relations in '/tmp/cado.3rjy1jfq/c140.upload/c140.10122724-10130000.8l6_0lb4.gz', total is now 19502/25172582
Info:Lattice Sieving: Marking workunit c140_sieving_10122724-10130000 as ok (0.1% => ETA Unknown)
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10190000-10200000 to client localhost
Info:Lattice Sieving: Adding workunit c140_sieving_10290000-10300000 to database
Info:Lattice Sieving: Found 25116 relations in '/tmp/cado.3rjy1jfq/c140.upload/c140.10160000-10170000.d56yzsd0.gz', total is now 44618/25172582
...EJ: many similar lines
Info:Lattice Sieving: Marking workunit c140_sieving_21360000-21370000 as ok (99.9% => ETA Sat Mar 30 03:25:13 2019)
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_21430000-21440000 to client localhost+6
Info:Lattice Sieving: Adding workunit c140_sieving_21530000-21540000 to database
Info:Lattice Sieving: Found 19435 relations in '/tmp/cado.3rjy1jfq/c140.upload/c140.21370000-21380000.7wcatk11.gz', total is now 25159941/25172582
Info:Lattice Sieving: Marking workunit c140_sieving_21370000-21380000 as ok (99.9% => ETA Sat Mar 30 03:26:04 2019)
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_21440000-21450000 to client localhost+4
Info:Lattice Sieving: Adding workunit c140_sieving_21540000-21550000 to database
Info:Lattice Sieving: Found 20286 relations in '/tmp/cado.3rjy1jfq/c140.upload/c140.21390000-21400000.xqa918bk.gz', total is now 25180227/25172582
Info:Lattice Sieving: Marking workunit c140_sieving_21390000-21400000 as ok (100.0% => ETA Sat Mar 30 03:25:58 2019)
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_21450000-21460000 to client localhost+3
Info:Lattice Sieving: Adding workunit c140_sieving_21550000-21560000 to database
Info:Lattice Sieving: Reached target of 25172582 relations, now have 25180227
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25180227
Info:Lattice Sieving: Average J: 3800.99 for 681023 special-q, max bucket fill: 0.638213
Info:Lattice Sieving: Total CPU time: 1.23487e+06s
Info:Filtering - Duplicate Removal, splitting pass: Starting
Info:Filtering - Duplicate Removal, splitting pass: Splitting 1127 new files
Info:Filtering - Duplicate Removal, splitting pass: Relations per slice: 0: 12591657, 1: 12588570
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 116.28/208.114
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 208.0s
Info:Filtering - Duplicate Removal, removal pass: Starting
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_21460000-21470000 to client localhost
Info:Filtering - Duplicate Removal, removal pass: 10684331 unique relations remain on slice 0
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_21470000-21480000 to client localhost+2
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_21480000-21490000 to client localhost+5
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_21490000-21500000 to client localhost+6
Info:Filtering - Duplicate Removal, removal pass: 10681091 unique relations remain on slice 1
Info:Filtering - Duplicate Removal, removal pass: Of 25180227 newly added relations 21365422 were unique (ratio 0.848500)
Info:Filtering - Duplicate Removal, removal pass: 21365422 unique relations remain in total
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 498.15/334.145
Info:Filtering - Singleton removal: Starting
Info:Filtering - Singleton removal: Reading 21365422 unique and 121848 free relations, total 21487270
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_21500000-21510000 to client localhost+4
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_21510000-21520000 to client localhost+3
Info:Filtering - Singleton removal: After purge, 7161619 relations with 7161459 primes remain with weight 136984095 and excess 160
Info:Filtering - Singleton removal: Have enough relations
Info:HTTP server: Got notification to stop serving Workunits
Info:Lattice Sieving: Cancelling remaining workunits
Info:Client Launcher: Stopped client localhost (Host localhost, PID 20063)
Info:Client Launcher: Stopped client localhost+2 (Host localhost, PID 20066)
Info:Client Launcher: Stopped client localhost+3 (Host localhost, PID 20069)
Info:Client Launcher: Stopped client localhost+4 (Host localhost, PID 20072)
Info:Client Launcher: Stopped client localhost+5 (Host localhost, PID 20075)
Info:Client Launcher: Stopped client localhost+6 (Host localhost, PID 20078)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 277.78/229.872
Info:Filtering - Merging: Starting
Info:Filtering - Merging: Merged matrix has 1757719 rows and total weight 298812383 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 815.52/743.225
Info:Filtering - Merging: Total cpu/real time for replay: 61.56/48.1282
Info:Linear Algebra: Starting
Info:Linear Algebra: krylov: N=1000 ; ETA (N=55000): Sat Mar 30 06:38:41 2019 [0.178 s/iter]
Info:Linear Algebra: krylov: N=2000 ; ETA (N=55000): Sat Mar 30 06:41:16 2019 [0.181 s/iter]
...EJ: many similar lines
Info:Linear Algebra: krylov: N=54000 ; ETA (N=55000): Sat Mar 30 06:46:03 2019 [0.186 s/iter]
Info:Linear Algebra: krylov: N=55000 ; ETA (N=55000): Sat Mar 30 06:46:04 2019 [0.186 s/iter]
Info:Linear Algebra: lingen ETA: Sat Mar 30 06:46:20 2019
Info:Linear Algebra: lingen ETA: Sat Mar 30 06:57:44 2019
Info:Linear Algebra: lingen ETA: Sat Mar 30 06:47:11 2019
Info:Linear Algebra: lingen ETA: Sat Mar 30 06:47:12 2019
Info:Linear Algebra: lingen ETA: Sat Mar 30 06:47:28 2019
Info:Linear Algebra: lingen ETA: Sat Mar 30 06:47:28 2019
Info:Linear Algebra: lingen ETA: Sat Mar 30 06:47:29 2019
Info:Linear Algebra: lingen ETA: Sat Mar 30 06:47:26 2019
Info:Linear Algebra: lingen ETA: Sat Mar 30 06:47:27 2019
Info:Linear Algebra: lingen ETA: Sat Mar 30 06:47:26 2019
Info:Linear Algebra: lingen ETA: Sat Mar 30 06:47:27 2019
Info:Linear Algebra: lingen ETA: Sat Mar 30 06:47:28 2019
Info:Linear Algebra: lingen ETA: Sat Mar 30 06:47:23 2019
Info:Linear Algebra: lingen ETA: Sat Mar 30 06:47:27 2019
Info:Linear Algebra: lingen ETA: Sat Mar 30 06:47:27 2019
Info:Linear Algebra: lingen ETA: Sat Mar 30 06:47:27 2019
Info:Linear Algebra: lingen ETA: Sat Mar 30 06:47:27 2019
Info:Linear Algebra: lingen ETA: Sat Mar 30 06:47:20 2019
Info:Linear Algebra: mksol: N=1000 ; ETA (N=28000): Sat Mar 30 08:20:20 2019 [0.199 s/iter]
Info:Linear Algebra: mksol: N=2000 ; ETA (N=28000): Sat Mar 30 08:20:45 2019 [0.200 s/iter]
Info:Linear Algebra: mksol: N=3000 ; ETA (N=28000): Sat Mar 30 08:21:03 2019 [0.201 s/iter]
Info:Linear Algebra: mksol: N=4000 ; ETA (N=28000): Sat Mar 30 08:21:14 2019 [0.201 s/iter]
Info:Linear Algebra: mksol: N=5000 ; ETA (N=28000): Sat Mar 30 08:21:19 2019 [0.201 s/iter]
Info:Linear Algebra: mksol: N=6000 ; ETA (N=28000): Sat Mar 30 08:21:26 2019 [0.202 s/iter]
Info:Linear Algebra: mksol: N=7000 ; ETA (N=28000): Sat Mar 30 08:21:29 2019 [0.202 s/iter]
Info:Linear Algebra: mksol: N=8000 ; ETA (N=28000): Sat Mar 30 08:21:31 2019 [0.202 s/iter]
Info:Linear Algebra: mksol: N=9000 ; ETA (N=28000): Sat Mar 30 08:21:34 2019 [0.202 s/iter]
Info:Linear Algebra: mksol: N=10000 ; ETA (N=28000): Sat Mar 30 08:21:37 2019 [0.202 s/iter]
Info:Linear Algebra: mksol: N=11000 ; ETA (N=28000): Sat Mar 30 08:21:36 2019 [0.202 s/iter]
Info:Linear Algebra: mksol: N=12000 ; ETA (N=28000): Sat Mar 30 08:21:36 2019 [0.202 s/iter]
Info:Linear Algebra: mksol: N=13000 ; ETA (N=28000): Sat Mar 30 08:21:34 2019 [0.202 s/iter]
Info:Linear Algebra: mksol: N=14000 ; ETA (N=28000): Sat Mar 30 08:21:34 2019 [0.202 s/iter]
Info:Linear Algebra: mksol: N=15000 ; ETA (N=28000): Sat Mar 30 08:21:34 2019 [0.202 s/iter]
Info:Linear Algebra: mksol: N=16000 ; ETA (N=28000): Sat Mar 30 08:21:34 2019 [0.202 s/iter]
Info:Linear Algebra: mksol: N=17000 ; ETA (N=28000): Sat Mar 30 08:21:35 2019 [0.202 s/iter]
Info:Linear Algebra: mksol: N=18000 ; ETA (N=28000): Sat Mar 30 08:21:40 2019 [0.202 s/iter]
Info:Linear Algebra: mksol: N=19000 ; ETA (N=28000): Sat Mar 30 08:21:45 2019 [0.202 s/iter]
Info:Linear Algebra: mksol: N=20000 ; ETA (N=28000): Sat Mar 30 08:21:51 2019 [0.203 s/iter]
Info:Linear Algebra: mksol: N=21000 ; ETA (N=28000): Sat Mar 30 08:21:56 2019 [0.203 s/iter]
Info:Linear Algebra: mksol: N=22000 ; ETA (N=28000): Sat Mar 30 08:22:02 2019 [0.203 s/iter]
Info:Linear Algebra: mksol: N=23000 ; ETA (N=28000): Sat Mar 30 08:22:07 2019 [0.203 s/iter]
Info:Linear Algebra: mksol: N=24000 ; ETA (N=28000): Sat Mar 30 08:22:11 2019 [0.203 s/iter]
Info:Linear Algebra: mksol: N=25000 ; ETA (N=28000): Sat Mar 30 08:22:13 2019 [0.203 s/iter]
Info:Linear Algebra: mksol: N=26000 ; ETA (N=28000): Sat Mar 30 08:22:15 2019 [0.203 s/iter]
Info:Linear Algebra: mksol: N=27000 ; ETA (N=28000): Sat Mar 30 08:22:18 2019 [0.204 s/iter]
Info:Linear Algebra: mksol: N=28000 ; ETA (N=28000): Sat Mar 30 08:22:11 2019 [0.203 s/iter]
Info:Linear Algebra: Total cpu/real time for bwc: 172174/0.0003016
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 10235.91
Info:Linear Algebra: Lingen CPU time 645.33, WCT time 73.65
Info:Linear Algebra: Mksol: WCT time 5693.7
Info:Quadratic Characters: Starting
Info:Quadratic Characters: Total cpu/real time for characters: 71.74/16.6128
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 72654565311809681982355986335787884255980423610357 18711877074032098189371471769760929609585981967835525393069633606976551143470631395425641
Info:Square Root: Total cpu/real time for sqrt: 4321.51/617.418
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66713/41.190/49.722/54.730/0.978
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66713/40.030/44.419/50.360/1.158
Info:Polynomial Selection (size optimized): Total time: 45116.1
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5606.66
Info:Polynomial Selection (root optimized): Rootsieve time: 5604.75
Info:Generate Factor Base: Total cpu/real time for makefb: 23.05/2.46151
Info:Generate Free Relations: Total cpu/real time for freerel: 304.4/27.8194
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25180227
Info:Lattice Sieving: Average J: 3800.99 for 681023 special-q, max bucket fill: 0.638213
Info:Lattice Sieving: Total CPU time: 1.23487e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 116.28/208.114
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 208.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 498.15/334.145
Info:Filtering - Singleton removal: Total cpu/real time for purge: 277.78/229.872
Info:Filtering - Merging: Total cpu/real time for merge: 815.52/743.225
Info:Filtering - Merging: Total cpu/real time for replay: 61.56/48.1282
Info:Linear Algebra: Total cpu/real time for bwc: 172174/0.0003016
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 10235.91
Info:Linear Algebra: Lingen CPU time 645.33, WCT time 73.65
Info:Linear Algebra: Mksol: WCT time 5693.7
Info:Quadratic Characters: Total cpu/real time for characters: 71.74/16.6128
Info:Square Root: Total cpu/real time for sqrt: 4321.51/617.418
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 1.46425e+06/129701
Info:root: Cleaning up computation data in /tmp/cado.3rjy1jfq
72654565311809681982355986335787884255980423610357 18711877074032098189371471769760929609585981967835525393069633606976551143470631395425641
software ソフトウェア
cado-nfs-2.3.0
execution environment 実行環境
Linux Ubuntu 18.04 LTS 
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors) 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 17, 2011 18:17:03 UTC 2011 年 5 月 18 日 (水) 3 時 17 分 3 秒 (日本時間)
403e62710110Ignacio SantosMay 17, 2011 18:17:03 UTC 2011 年 5 月 18 日 (水) 3 時 17 分 3 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:57:59 UTC 2014 年 1 月 9 日 (木) 13 時 57 分 59 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:53 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 53 秒 (日本時間)
1000Dmitry DomanovMay 27, 2014 13:31:05 UTC 2014 年 5 月 27 日 (火) 22 時 31 分 5 秒 (日本時間)
4511e61032 / 386232Ignacio SantosMay 17, 2011 18:17:03 UTC 2011 年 5 月 18 日 (水) 3 時 17 分 3 秒 (日本時間)
1000Dmitry DomanovJuly 16, 2014 12:05:02 UTC 2014 年 7 月 16 日 (水) 21 時 5 分 2 秒 (日本時間)

59×10193+319

c162

name 名前Edwin Hall
date 日付December 15, 2020 05:02:21 UTC 2020 年 12 月 15 日 (火) 14 時 2 分 21 秒 (日本時間)
composite number 合成数
809342946486272327825541520580767005179801879828678752492317682790150075168076564608610922781668585743448441079211022132418965670548563004821929160896475606047159<162>
prime factors 素因数
24538989227876870117751168720386741218853873<44>
56345917116390754223173656885129798574079545573545017<53>
585347090591389092217550234413215046309390405812612493060020827999<66>
factorization results 素因数分解の結果
Factors:
24538989227876870117751168720386741218853873 56345917116390754223173656885129798574079545573545017
585347090591389092217550234413215046309390405812612493060020827999

Info:Generate Free Relations: Total cpu/real time for freerel: 908.84/42.2681
Info:Square Root: Total cpu/real time for sqrt: 5971.5/361.497
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 213.51/143.485
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 142.8s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 649.49/272.603
Info:Quadratic Characters: Total cpu/real time for characters: 165.81/32.0488
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 57364241
Info:Lattice Sieving: Average J: 3791.53 for 1111300 special-q, max bucket fill -bkmult 1.0,1s:1.194920
Info:Lattice Sieving: Total time: 521944s
Info:Linear Algebra: Total cpu/real time for bwc: 144028/13043.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 89796.71, WCT time 8174.1, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (83000 iterations)
Info:Linear Algebra: Lingen CPU time 2950.3, WCT time 127.66
Info:Linear Algebra: Mksol: CPU time 49505.45,  WCT time 4491.72, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (42000 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 61.66/7.10602
Info:Filtering - Merging: Total cpu/real time for merge: 623.35/50.0169
Info:Filtering - Merging: Total cpu/real time for replay: 125.47/105.53
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1431.42/494.141
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 371.4s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.02971e+06/27819
Info:root: Cleaning up computation data in /tmp/cado.zgixujty
24538989227876870117751168720386741218853873 56345917116390754223173656885129798574079545573545017 585347090591389092217550234413215046309390405812612493060020827999
software ソフトウェア
CADO-NFS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 17, 2011 20:22:33 UTC 2011 年 5 月 18 日 (水) 5 時 22 分 33 秒 (日本時間)
403e62710110Ignacio SantosMay 17, 2011 20:22:33 UTC 2011 年 5 月 18 日 (水) 5 時 22 分 33 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:58:00 UTC 2014 年 1 月 9 日 (木) 13 時 58 分 0 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:54 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 54 秒 (日本時間)
1000Dmitry DomanovMay 27, 2014 13:31:40 UTC 2014 年 5 月 27 日 (火) 22 時 31 分 40 秒 (日本時間)
4511e61032 / 386232Ignacio SantosMay 17, 2011 20:22:33 UTC 2011 年 5 月 18 日 (水) 5 時 22 分 33 秒 (日本時間)
1000Dmitry DomanovJune 3, 2014 11:21:41 UTC 2014 年 6 月 3 日 (火) 20 時 21 分 41 秒 (日本時間)

59×10194+319

c186

name 名前matsui
date 日付August 10, 2010 10:04:08 UTC 2010 年 8 月 10 日 (火) 19 時 4 分 8 秒 (日本時間)
composite number 合成数
230757649084943236179930566136502661420485069347026460627969380115007221028907733754541794000600115304051241874907161333284550227641593614791731889900621200189742096174784765211656018027<186>
prime factors 素因数
30361156343446726930575314047031971229<38>
7600423596341411662011834382868631776693758368061912437795189769723290559701337431403155143776743275547357996787712102425348157134740457470733591463<148>
factorization results 素因数分解の結果
N=230757649084943236179930566136502661420485069347026460627969380115007221028907733754541794000600115304051241874907161333284550227641593614791731889900621200189742096174784765211656018027
  ( 186 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=30361156343446726930575314047031971229 (pp38)
 r2=7600423596341411662011834382868631776693758368061912437795189769723290559701337431403155143776743275547357996787712102425348157134740457470733591463 (pp148)
Version: Msieve v. 1.45
Total time:
Scaled time: 34.96 units (timescale=1.137).
Factorization parameters were as follows:
n: 230757649084943236179930566136502661420485069347026460627969380115007221028907733754541794000600115304051241874907161333284550227641593614791731889900621200189742096174784765211656018027
m: 100000000000000000000000000000000000000
deg: 5
c5: 590000
c0: 31
skew: 0.14
type: snfs

Factor base limits: 12800000/12800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved rational special-q in [6400000, 15000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2661537 x 2661762
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,195.000,5,0,0,0,0,0,0,0,0,12800000,12800000,28,28,56,56,2.5,2.5,100000
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 KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)

59×10195+319

c179

name 名前Bob Backstrom
date 日付March 2, 2021 13:21:01 UTC 2021 年 3 月 2 日 (火) 22 時 21 分 1 秒 (日本時間)
composite number 合成数
67082571149521906681246694236376776087155688617205266438238680120224113959510872669306728029603075649384195181893549227584651721722710706437239229219099750373134683919200719278163<179>
prime factors 素因数
1344826505392624130246095968423655046874906633583720490958203<61>
49881951969660985135165086797500086457860303835492645954221920244835860113132093478332988181812104379237510017979565321<119>
factorization results 素因数分解の結果
Number: n
N=67082571149521906681246694236376776087155688617205266438238680120224113959510872669306728029603075649384195181893549227584651721722710706437239229219099750373134683919200719278163  ( 179 digits)
SNFS difficulty: 196 digits.
Divisors found:

Wed Mar  3 00:12:33 2021  p61 factor: 1344826505392624130246095968423655046874906633583720490958203
Wed Mar  3 00:12:33 2021  p119 factor: 49881951969660985135165086797500086457860303835492645954221920244835860113132093478332988181812104379237510017979565321
Wed Mar  3 00:12:33 2021  elapsed time 00:58:29 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 59x10^195+31 = 65(194)9
#
n: 67082571149521906681246694236376776087155688617205266438238680120224113959510872669306728029603075649384195181893549227584651721722710706437239229219099750373134683919200719278163
m: 1000000000000000000000000000000000000000
deg: 5
c5: 59
c0: 31
skew: 0.88
# Murphy_E = 2.105e-11
type: snfs
lss: 1
rlim: 13300000
alim: 13300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13300000/13300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4716695 hash collisions in 33381441 relations (30432991 unique)
Msieve: matrix is 1551828 x 1552053 (536.6 MB)

Sieving start time : 2021/03/02 16:47:18
Sieving end time  : 2021/03/02 23:08:52

Total sieving time: 6hrs 21min 34secs.

Total relation processing time: 0hrs 47min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 46sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13300000,13300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116873] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.153556] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798332)
[    0.152039] smpboot: Total of 16 processors activated (102386.65 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 17, 2011 21:30:47 UTC 2011 年 5 月 18 日 (水) 6 時 30 分 47 秒 (日本時間)
403e62710110Ignacio SantosMay 17, 2011 21:30:47 UTC 2011 年 5 月 18 日 (水) 6 時 30 分 47 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:58:01 UTC 2014 年 1 月 9 日 (木) 13 時 58 分 1 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:54 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 54 秒 (日本時間)
1000Dmitry DomanovMay 27, 2014 13:31:56 UTC 2014 年 5 月 27 日 (火) 22 時 31 分 56 秒 (日本時間)
4511e61032 / 386232Ignacio SantosMay 17, 2011 21:30:47 UTC 2011 年 5 月 18 日 (水) 6 時 30 分 47 秒 (日本時間)
1000Dmitry DomanovJune 3, 2014 11:21:16 UTC 2014 年 6 月 3 日 (火) 20 時 21 分 16 秒 (日本時間)

59×10197+319

c176

name 名前Bob Backstrom
date 日付March 14, 2021 07:13:13 UTC 2021 年 3 月 14 日 (日) 16 時 13 分 13 秒 (日本時間)
composite number 合成数
29099699941453912318329856243882501164181079971044876697674012079993360359547758496368073014902703224418816482353354626238544098360840161463867428954809309120997385172287205513<176>
prime factors 素因数
3860749326148943427840894662998807908498967020119<49>
7537319179041482830287360579857368105947717869285949379353293719601293747463014285332159537840829379447330798834130075037341727<127>
factorization results 素因数分解の結果
Number: n
N=29099699941453912318329856243882501164181079971044876697674012079993360359547758496368073014902703224418816482353354626238544098360840161463867428954809309120997385172287205513  ( 176 digits)
SNFS difficulty: 198 digits.
Divisors found:

Sun Mar 14 18:09:23 2021  p49 factor: 3860749326148943427840894662998807908498967020119
Sun Mar 14 18:09:23 2021  p127 factor: 7537319179041482830287360579857368105947717869285949379353293719601293747463014285332159537840829379447330798834130075037341727
Sun Mar 14 18:09:23 2021  elapsed time 01:41:41 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 59x10^197+31 = 65(196)9
#
n: 29099699941453912318329856243882501164181079971044876697674012079993360359547758496368073014902703224418816482353354626238544098360840161463867428954809309120997385172287205513
m: 1000000000000000000000000000000000000000
deg: 5
c5: 5900
c0: 31
skew: 0.35
# Murphy_E = 1.282e-11
type: snfs
lss: 1
rlim: 14400000
alim: 14400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 34400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4947342 hash collisions in 31004311 relations (27451609 unique)
Msieve: matrix is 2057282 x 2057507 (716.7 MB)

Sieving start time : 2021/03/14 06:03:37
Sieving end time  : 2021/03/14 16:27:08

Total sieving time: 10hrs 23min 31secs.

Total relation processing time: 1hrs 29min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 4sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14400000,14400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116745] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.152613] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.17 BogoMIPS (lpj=12798352)
[    0.150217] smpboot: Total of 16 processors activated (102386.81 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 17, 2011 22:00:49 UTC 2011 年 5 月 18 日 (水) 7 時 0 分 49 秒 (日本時間)
403e62710110Ignacio SantosMay 17, 2011 22:00:49 UTC 2011 年 5 月 18 日 (水) 7 時 0 分 49 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:58:02 UTC 2014 年 1 月 9 日 (木) 13 時 58 分 2 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:55 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 55 秒 (日本時間)
1000Dmitry DomanovMay 27, 2014 13:32:12 UTC 2014 年 5 月 27 日 (火) 22 時 32 分 12 秒 (日本時間)
4511e61032 / 386232Ignacio SantosMay 17, 2011 22:00:49 UTC 2011 年 5 月 18 日 (水) 7 時 0 分 49 秒 (日本時間)
1000Dmitry DomanovJune 3, 2014 11:20:59 UTC 2014 年 6 月 3 日 (火) 20 時 20 分 59 秒 (日本時間)

59×10198+319

c176

name 名前Serge Batalov
date 日付January 9, 2014 10:23:42 UTC 2014 年 1 月 9 日 (木) 19 時 23 分 42 秒 (日本時間)
composite number 合成数
24949222292098542786456463171997844406738685848148381893092782687538666749840508804968682450005921603001122680500420307072704743392901373292059163016643168475193165274481350697<176>
prime factors 素因数
427998938659568326809301160798469511<36>
composite cofactor 合成数の残り
58292720001212972612780966510763249472764345361556385606851883186634260037287816616890752898150069240012054424744695635887676466228473374927<140>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3687205102
Step 1 took 15721ms
Step 2 took 6370ms
********** Factor found in step 2: 427998938659568326809301160798469511
Found probable prime factor of 36 digits: 427998938659568326809301160798469511
Composite cofactor

c140

name 名前Eric Jeancolas
date 日付January 29, 2020 20:59:20 UTC 2020 年 1 月 30 日 (木) 5 時 59 分 20 秒 (日本時間)
composite number 合成数
58292720001212972612780966510763249472764345361556385606851883186634260037287816616890752898150069240012054424744695635887676466228473374927<140>
prime factors 素因数
324700947656627763632935907171246679167<39>
179527409519166851057555393181433160222336267976810869722526170168208046975856297587800201428707087281<102>
factorization results 素因数分解の結果
58292720001212972612780966510763249472764345361556385606851883186634260037287816616890752898150069240012054424744695635887676466228473374927=324700947656627763632935907171246679167*179527409519166851057555393181433160222336267976810869722526170168208046975856297587800201428707087281

Info:Square Root: Factors: 179527409519166851057555393181433160222336267976810869722526170168208046975856297587800201428707087281 324700947656627763632935907171246679167
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66229/41.810/50.322/55.170/0.963
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66229/40.670/45.099/50.980/1.291
Info:Polynomial Selection (size optimized): Total time: 45597.1
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 8281.17
Info:Polynomial Selection (root optimized): Rootsieve time: 8278.94
Info:Generate Factor Base: Total cpu/real time for makefb: 20.61/4.88879
Info:Generate Free Relations: Total cpu/real time for freerel: 864.5/352.897
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 33144668
Info:Lattice Sieving: Average J: 3792.37 for 894319 special-q, max bucket fill -bkmult 1.0,1s:1.135200
Info:Lattice Sieving: Total time: 1.73206e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 185.59/711.967
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 710.4000000000001s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1045.03/1563.58
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1450.7000000000003s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 616.51/1008.03
Info:Filtering - Merging: Total cpu/real time for merge: 1886.01/1901.91
Info:Filtering - Merging: Total cpu/real time for replay: 199.56/228.549
Info:Linear Algebra: Total cpu/real time for bwc: 194473/48286.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 34075.93, iteration CPU time 0.47, COMM 0.02, cpu-wait 0.08, comm-wait 0.0 (60000 iterations)
Info:Linear Algebra: Lingen CPU time 792.15, WCT time 169.6
Info:Linear Algebra: Mksol: WCT time 12491.71, iteration CPU time 0.35, COMM 0.01, cpu-wait 0.06, comm-wait 0.0 (30000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 140.07/43.5637
Info:Square Root: Total cpu/real time for sqrt: 10180.9/1459.93
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.57958e+06/351998
Info:root: Cleaning up computation data in /tmp/cado.o75q1yae
179527409519166851057555393181433160222336267976810869722526170168208046975856297587800201428707087281 324700947656627763632935907171246679167
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 18.04 LTS
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 17, 2011 23:33:10 UTC 2011 年 5 月 18 日 (水) 8 時 33 分 10 秒 (日本時間)
403e62710110Ignacio SantosMay 17, 2011 23:33:10 UTC 2011 年 5 月 18 日 (水) 8 時 33 分 10 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:58:02 UTC 2014 年 1 月 9 日 (木) 13 時 58 分 2 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:55 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 55 秒 (日本時間)
1000Dmitry DomanovMay 27, 2014 13:32:25 UTC 2014 年 5 月 27 日 (火) 22 時 32 分 25 秒 (日本時間)
4511e61032 / 386232Ignacio SantosMay 17, 2011 23:33:10 UTC 2011 年 5 月 18 日 (水) 8 時 33 分 10 秒 (日本時間)
1000Dmitry DomanovJune 3, 2014 11:20:31 UTC 2014 年 6 月 3 日 (火) 20 時 20 分 31 秒 (日本時間)

59×10199+319

c170

name 名前Serge Batalov
date 日付October 30, 2009 08:00:38 UTC 2009 年 10 月 30 日 (金) 17 時 0 分 38 秒 (日本時間)
composite number 合成数
11023702054497676367557524826333929105925009337531721419930374980796415148284425595293276198806703632432128856806422995234776617831329074283702377111156110036685286453671<170>
prime factors 素因数
1602687943698543126131675611<28>
6878258551729128554685038747479659603886933282297464944457396121908040776440780280432667254915111985042970315141255881530546102872883667527461<142>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2091762947
Step 1 took 3492ms
Step 2 took 2452ms
********** Factor found in step 2: 1602687943698543126131675611
Found probable prime factor of 28 digits: 1602687943698543126131675611
Probable prime cofactor has 142 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)

59×10200+319

c185

name 名前Serge Batalov
date 日付October 30, 2009 08:07:05 UTC 2009 年 10 月 30 日 (金) 17 時 7 分 5 秒 (日本時間)
composite number 合成数
47957691041700035021843579783942824602325246811874426008305828918193086173971530801123602521525356568767165464921180038257505957529244137789250717568389031421848108662030099889753614573<185>
prime factors 素因数
2286251887838065901353298057<28>
20976556125252658394173548582655076279566955914498617474180556805568901829064519383634511266481239826594839102020809479854759222807301826314172217673409387589<158>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=741387217
Step 1 took 4080ms
********** Factor found in step 1: 2286251887838065901353298057
Found probable prime factor of 28 digits: 2286251887838065901353298057
Probable prime cofactor has 158 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 29, 2009 00:00:00 UTC 2009 年 10 月 29 日 (木) 9 時 0 分 0 秒 (日本時間)

59×10201+319

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 04:58:03 UTC 2014 年 1 月 9 日 (木) 13 時 58 分 3 秒 (日本時間)
4511e61000 / 3707Serge BatalovMarch 2, 2014 03:23:00 UTC 2014 年 3 月 2 日 (日) 12 時 23 分 0 秒 (日本時間)
5043e6200 / 7317100Justin CardNovember 24, 2013 01:26:06 UTC 2013 年 11 月 24 日 (日) 10 時 26 分 6 秒 (日本時間)
100Justin CardNovember 24, 2013 01:26:18 UTC 2013 年 11 月 24 日 (日) 10 時 26 分 18 秒 (日本時間)

59×10202+319

c185

name 名前Bob Backstrom
date 日付September 8, 2021 00:32:31 UTC 2021 年 9 月 8 日 (水) 9 時 32 分 31 秒 (日本時間)
composite number 合成数
61393394083454784692080807475461815141821449025152984027922547734773070490978286826563228868372400146145963558242189368833276151473625585363377156686628151260486613383182210615443395067<185>
prime factors 素因数
8210595896395153929494043130578063284795674389071532687947656082246077083851690959194021197<91>
7477337194296632512968889349737754343047188426060516801629250726378153250423130274101258692711<94>
factorization results 素因数分解の結果
Number: n
N=61393394083454784692080807475461815141821449025152984027922547734773070490978286826563228868372400146145963558242189368833276151473625585363377156686628151260486613383182210615443395067  ( 185 digits)
SNFS difficulty: 203 digits.
Divisors found:

Wed Sep  8 10:26:27 2021  p91 factor: 8210595896395153929494043130578063284795674389071532687947656082246077083851690959194021197
Wed Sep  8 10:26:27 2021  p94 factor: 7477337194296632512968889349737754343047188426060516801629250726378153250423130274101258692711
Wed Sep  8 10:26:27 2021  elapsed time 02:26:10 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 59x10^202+31 = 65(201)9
#
n: 61393394083454784692080807475461815141821449025152984027922547734773070490978286826563228868372400146145963558242189368833276151473625585363377156686628151260486613383182210615443395067
m: 10000000000000000000000000000000000000000
deg: 5
c5: 5900
c0: 31
skew: 0.35
# Murphy_E = 7.031e-12
type: snfs
lss: 1
rlim: 17400000
alim: 17400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17400000/17400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 50300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10625035 hash collisions in 63943654 relations (55361366 unique)
Msieve: matrix is 2446290 x 2446518 (846.6 MB)

Sieving start time : 2021/09/07 14:48:54
Sieving end time  : 2021/09/08 07:58:59

Total sieving time: 17hrs 10min 5secs.

Total relation processing time: 1hrs 56min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 14min 5sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17400000,17400000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116939] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.154077] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798404)
[    0.152034] smpboot: Total of 16 processors activated (102387.23 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 3, 2014 22:37:19 UTC 2014 年 1 月 4 日 (土) 7 時 37 分 19 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:58:04 UTC 2014 年 1 月 9 日 (木) 13 時 58 分 4 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:56 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 56 秒 (日本時間)
1000Dmitry DomanovMay 27, 2014 13:32:41 UTC 2014 年 5 月 27 日 (火) 22 時 32 分 41 秒 (日本時間)
4511e61500 / 3836Dmitry DomanovJune 6, 2014 11:57:27 UTC 2014 年 6 月 6 日 (金) 20 時 57 分 27 秒 (日本時間)

59×10203+319

c194

name 名前Bob Backstrom
date 日付May 7, 2021 01:38:47 UTC 2021 年 5 月 7 日 (金) 10 時 38 分 47 秒 (日本時間)
composite number 合成数
13393529262190133660488660576439190671769115271194451827730171785927506746129962103342179100880687260898141420566860127374609380833915061850543907349542963452638277566877866606967506171094265243<194>
prime factors 素因数
1999659704433994608195608379361494471540832290337<49>
3871650709052199123864283036523517560803865772816370672520679077603521<70>
1729986707994158219664952965019914280001857997035076292606970014160336113659<76>
factorization results 素因数分解の結果
Number: n
N=13393529262190133660488660576439190671769115271194451827730171785927506746129962103342179100880687260898141420566860127374609380833915061850543907349542963452638277566877866606967506171094265243
  ( 194 digits)
SNFS difficulty: 204 digits.
Divisors found:

Fri May  7 11:12:40 2021  found factor: 3871650709052199123864283036523517560803865772816370672520679077603521
Fri May  7 11:22:13 2021  found factor: 3871650709052199123864283036523517560803865772816370672520679077603521
Fri May  7 11:31:50 2021  p49 factor: 1999659704433994608195608379361494471540832290337
Fri May  7 11:31:50 2021  p70 factor: 3871650709052199123864283036523517560803865772816370672520679077603521
Fri May  7 11:31:50 2021  p76 factor: 1729986707994158219664952965019914280001857997035076292606970014160336113659
Fri May  7 11:31:50 2021  elapsed time 03:15:32 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 59x10^203+31 = 65(202)9
#
n: 13393529262190133660488660576439190671769115271194451827730171785927506746129962103342179100880687260898141420566860127374609380833915061850543907349542963452638277566877866606967506171094265243
m: 10000000000000000000000000000000000000000
deg: 5
c5: 59000
c0: 31
skew: 0.22
# Murphy_E = 6.025e-12
type: snfs
lss: 1
rlim: 18100000
alim: 18100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18100000/18100000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7987142 hash collisions in 52802330 relations (45804347 unique)
Msieve: matrix is 2754190 x 2754415 (961.2 MB)

Sieving start time : 2021/05/06 17:44:46
Sieving end time  : 2021/05/07 08:04:38

Total sieving time: 14hrs 19min 52secs.

Total relation processing time: 2hrs 37min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 24min 0sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,18100000,18100000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118393] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241108K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486128K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.30 BogoMIPS (lpj=12798612)
[    0.152049] smpboot: Total of 16 processors activated (102388.89 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 2, 2014 10:21:20 UTC 2014 年 1 月 2 日 (木) 19 時 21 分 20 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:58:05 UTC 2014 年 1 月 9 日 (木) 13 時 58 分 5 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:56 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 56 秒 (日本時間)
1000Dmitry DomanovMay 27, 2014 13:32:57 UTC 2014 年 5 月 27 日 (火) 22 時 32 分 57 秒 (日本時間)
4511e61500 / 3836Dmitry DomanovJune 6, 2014 11:57:52 UTC 2014 年 6 月 6 日 (金) 20 時 57 分 52 秒 (日本時間)

59×10205+319

c189

name 名前Bob Backstrom
date 日付August 8, 2021 04:35:41 UTC 2021 年 8 月 8 日 (日) 13 時 35 分 41 秒 (日本時間)
composite number 合成数
123392533747104541035550351398806575483204679589255256543536748100567747205603017012998317735299403651443361666279142288432725632900383956061266850011172605737578635249937347971523387145021<189>
prime factors 素因数
21963726799616559960813403852450465490311597366363988754803<59>
5618014414077428458208424927339122034330914441028526407518413257176771518569884548059221888294242729527673395558190484020373873807<130>
factorization results 素因数分解の結果
Number: n
N=123392533747104541035550351398806575483204679589255256543536748100567747205603017012998317735299403651443361666279142288432725632900383956061266850011172605737578635249937347971523387145021
  ( 189 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sun Aug  8 14:28:45 2021  p59 factor: 21963726799616559960813403852450465490311597366363988754803
Sun Aug  8 14:28:45 2021  p130 factor: 5618014414077428458208424927339122034330914441028526407518413257176771518569884548059221888294242729527673395558190484020373873807
Sun Aug  8 14:28:45 2021  elapsed time 02:30:13 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 59x10^205+31 = 65(204)9
#
n: 123392533747104541035550351398806575483204679589255256543536748100567747205603017012998317735299403651443361666279142288432725632900383956061266850011172605737578635249937347971523387145021
m: 100000000000000000000000000000000000000000
deg: 5
c5: 59
c0: 31
skew: 0.88
# Murphy_E = 7.112e-12
type: snfs
lss: 1
rlim: 19600000
alim: 19600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19600000/19600000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 44200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10297780 hash collisions in 69650381 relations (60700414 unique)
Msieve: matrix is 2505172 x 2505400 (855.4 MB)

Sieving start time : 2021/08/07 19:18:30
Sieving end time  : 2021/08/08 11:57:08

Total sieving time: 16hrs 38min 38secs.

Total relation processing time: 2hrs 4min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 3sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19600000,19600000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119240] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5012K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.152638] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.25 BogoMIPS (lpj=12798512)
[    0.150211] smpboot: Total of 16 processors activated (102388.09 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:11 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 11 秒 (日本時間)
403e62600300Serge BatalovJanuary 9, 2014 04:58:08 UTC 2014 年 1 月 9 日 (木) 13 時 58 分 8 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:56 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 56 秒 (日本時間)
1000Dmitry DomanovMay 27, 2014 13:33:10 UTC 2014 年 5 月 27 日 (火) 22 時 33 分 10 秒 (日本時間)
4511e61500 / 3863Dmitry DomanovJune 6, 2014 11:58:09 UTC 2014 年 6 月 6 日 (金) 20 時 58 分 9 秒 (日本時間)

59×10206+319

c105

name 名前Serge Batalov
date 日付November 14, 2013 19:39:16 UTC 2013 年 11 月 15 日 (金) 4 時 39 分 16 秒 (日本時間)
composite number 合成数
205391917275125160144680189707160385681785533349889093120892090533146645768349535591023990330310475052749<105>
prime factors 素因数
25499905868221973849092254554593867<35>
8054614724326685358074995013585458566425516940045322581001439290623047<70>
factorization results 素因数分解の結果
Divisors found:
 r1=25499905868221973849092254554593867 (pp35)
 r2=8054614724326685358074995013585458566425516940045322581001439290623047 (pp70)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 4.90 hours.
Scaled time: 11.77 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  205391917275125160144680189707160385681785533349889093120892090533146645768349535591023990330310475052749
skew:  11108670.69
Y0:  -30415359571090767367270163
Y1:  5745564832957
c0:  930314826765919383807724705230
c1:  142657881678741950670461
c2:  -48668050768086328
c3:  839467612
c4:  240
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2150001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 300544 x 300771
Total sieving time: 4.66 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,104,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 4.90 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)

59×10207+319

c204

name 名前Serge Batalov
date 日付December 12, 2014 19:36:41 UTC 2014 年 12 月 13 日 (土) 4 時 36 分 41 秒 (日本時間)
composite number 合成数
117166012324275804821282113913166083815401968786179970966659318967588703607720247279861942691918921119471601143063672777172089069999741837599963460091071751274428617103457588882335535657192106585325652009<204>
prime factors 素因数
3825870151024058908786842166430232997101329377<46>
30624670388490403491944940564706297443024158707504454863599162341588109805280136365747752300250863255705670123547333859981600081871028230059864367975894463817<158>
factorization results 素因数分解の結果
prp46 factor: 3825870151024058908786842166430232997101329377
prp158 factor: 30624670388490403491944940564706297443024158707504454863599162341588109805280136365747752300250863255705670123547333859981600081871028230059864367975894463817

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
403e6280Serge BatalovNovember 15, 2013 18:33:07 UTC 2013 年 11 月 16 日 (土) 3 時 33 分 7 秒 (日本時間)
4511e64018600Serge BatalovNovember 20, 2013 01:03:20 UTC 2013 年 11 月 20 日 (水) 10 時 3 分 20 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:17 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 17 秒 (日本時間)
1800Serge BatalovMay 24, 2014 03:26:00 UTC 2014 年 5 月 24 日 (土) 12 時 26 分 0 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:20 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 20 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:03 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 3 秒 (日本時間)
18KTakahashiSeptember 2, 2014 12:29:09 UTC 2014 年 9 月 2 日 (火) 21 時 29 分 9 秒 (日本時間)
5043e62113 / 6640113KTakahashiSeptember 5, 2014 10:07:46 UTC 2014 年 9 月 5 日 (金) 19 時 7 分 46 秒 (日本時間)
2000Serge BatalovDecember 10, 2014 01:27:32 UTC 2014 年 12 月 10 日 (水) 10 時 27 分 32 秒 (日本時間)

59×10210+319

c130

name 名前Cyp
date 日付January 26, 2014 15:02:48 UTC 2014 年 1 月 27 日 (月) 0 時 2 分 48 秒 (日本時間)
composite number 合成数
9741547037268938044442733128007777410982662871577098836025234327443540967035680508810562233238726712221665289373253047488035515153<130>
prime factors 素因数
2409179734467725114442263253541496845268533223429<49>
4043511946368417341409906817629923277172830603932667048084476193102135359802419357<82>
factorization results 素因数分解の結果
01/25/14 14:19:18 v1.34.3, 
01/25/14 14:19:18 v1.34.3, ****************************
01/25/14 14:19:18 v1.34.3, Starting factorization of 9741547037268938044442733128007777410982662871577098836025234327443540967035680508810562233238726712221665289373253047488035515153
01/25/14 14:19:18 v1.34.3, using pretesting plan: none
01/25/14 14:19:18 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/25/14 14:19:18 v1.34.3, ****************************
01/25/14 14:19:18 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C130
01/25/14 14:19:18 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C130
01/25/14 14:19:18 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C130
01/25/14 14:19:18 v1.34.3, final ECM pretested depth: 0.00
01/25/14 14:19:18 v1.34.3, scheduler: switching to sieve method
01/25/14 14:19:18 v1.34.3, nfs: commencing nfs on c130: 9741547037268938044442733128007777410982662871577098836025234327443540967035680508810562233238726712221665289373253047488035515153
01/25/14 14:19:18 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/25/14 14:19:18 v1.34.3, nfs: commencing lattice sieving with 6 threads
01/25/14 14:35:32 v1.34.3, nfs: commencing lattice sieving with 6 threads
[80 lines snipped]
01/26/14 14:27:48 v1.34.3, nfs: commencing lattice sieving with 6 threads
01/26/14 14:47:22 v1.34.3, nfs: commencing lattice sieving with 6 threads
01/26/14 15:07:28 v1.34.3, nfs: commencing msieve filtering
01/26/14 15:12:29 v1.34.3, nfs: commencing msieve linear algebra
01/26/14 15:59:08 v1.34.3, nfs: commencing msieve sqrt
01/26/14 16:02:47 v1.34.3, prp82 = 4043511946368417341409906817629923277172830603932667048084476193102135359802419357
01/26/14 16:02:47 v1.34.3, prp49 = 2409179734467725114442263253541496845268533223429
01/26/14 16:02:47 v1.34.3, NFS elapsed time = 92609.3328 seconds.
01/26/14 16:02:47 v1.34.3, 
01/26/14 16:02:47 v1.34.3, 
01/26/14 16:02:47 v1.34.3, Total factoring time = 92609.3604 seconds
--
Sun Jan 26 15:07:28 2014  
Sun Jan 26 15:07:28 2014  commencing relation filtering
Sun Jan 26 15:07:28 2014  estimated available RAM is 15988.7 MB
Sun Jan 26 15:07:28 2014  commencing duplicate removal, pass 1
Sun Jan 26 15:08:54 2014  found 3370017 hash collisions in 21241712 relations
Sun Jan 26 15:09:14 2014  added 119083 free relations
Sun Jan 26 15:09:14 2014  commencing duplicate removal, pass 2
Sun Jan 26 15:09:35 2014  found 2569010 duplicates and 18791785 unique relations
Sun Jan 26 15:09:35 2014  memory use: 82.6 MB
Sun Jan 26 15:09:35 2014  reading ideals above 720000
Sun Jan 26 15:09:35 2014  commencing singleton removal, initial pass
Sun Jan 26 15:11:24 2014  memory use: 376.5 MB
Sun Jan 26 15:11:24 2014  reading all ideals from disk
Sun Jan 26 15:11:24 2014  memory use: 579.8 MB
Sun Jan 26 15:11:26 2014  keeping 18901959 ideals with weight <= 200, target excess is 120181
Sun Jan 26 15:11:27 2014  commencing in-memory singleton removal
Sun Jan 26 15:11:29 2014  begin with 18791785 relations and 18901959 unique ideals
Sun Jan 26 15:11:37 2014  reduce to 8957075 relations and 7655865 ideals in 13 passes
Sun Jan 26 15:11:37 2014  max relations containing the same ideal: 124
Sun Jan 26 15:11:40 2014  removing 1803115 relations and 1403115 ideals in 400000 cliques
Sun Jan 26 15:11:41 2014  commencing in-memory singleton removal
Sun Jan 26 15:11:41 2014  begin with 7153960 relations and 7655865 unique ideals
Sun Jan 26 15:11:44 2014  reduce to 6877454 relations and 5961409 ideals in 8 passes
Sun Jan 26 15:11:44 2014  max relations containing the same ideal: 103
Sun Jan 26 15:11:47 2014  removing 1451132 relations and 1051132 ideals in 400000 cliques
Sun Jan 26 15:11:47 2014  commencing in-memory singleton removal
Sun Jan 26 15:11:47 2014  begin with 5426322 relations and 5961409 unique ideals
Sun Jan 26 15:11:50 2014  reduce to 5202723 relations and 4673739 ideals in 8 passes
Sun Jan 26 15:11:50 2014  max relations containing the same ideal: 81
Sun Jan 26 15:11:51 2014  removing 1327960 relations and 938386 ideals in 389574 cliques
Sun Jan 26 15:11:52 2014  commencing in-memory singleton removal
Sun Jan 26 15:11:52 2014  begin with 3874763 relations and 4673739 unique ideals
Sun Jan 26 15:11:53 2014  reduce to 3637089 relations and 3481047 ideals in 8 passes
Sun Jan 26 15:11:53 2014  max relations containing the same ideal: 62
Sun Jan 26 15:11:55 2014  removing 111824 relations and 95192 ideals in 16632 cliques
Sun Jan 26 15:11:55 2014  commencing in-memory singleton removal
Sun Jan 26 15:11:55 2014  begin with 3525265 relations and 3481047 unique ideals
Sun Jan 26 15:11:56 2014  reduce to 3523258 relations and 3383844 ideals in 6 passes
Sun Jan 26 15:11:56 2014  max relations containing the same ideal: 60
Sun Jan 26 15:11:57 2014  relations with 0 large ideals: 468
Sun Jan 26 15:11:57 2014  relations with 1 large ideals: 1931
Sun Jan 26 15:11:57 2014  relations with 2 large ideals: 28197
Sun Jan 26 15:11:57 2014  relations with 3 large ideals: 171885
Sun Jan 26 15:11:57 2014  relations with 4 large ideals: 530926
Sun Jan 26 15:11:57 2014  relations with 5 large ideals: 934756
Sun Jan 26 15:11:57 2014  relations with 6 large ideals: 978815
Sun Jan 26 15:11:57 2014  relations with 7+ large ideals: 876280
Sun Jan 26 15:11:57 2014  commencing 2-way merge
Sun Jan 26 15:11:58 2014  reduce to 2163263 relation sets and 2023849 unique ideals
Sun Jan 26 15:11:58 2014  commencing full merge
Sun Jan 26 15:12:20 2014  memory use: 253.0 MB
Sun Jan 26 15:12:20 2014  found 1136931 cycles, need 1118049
Sun Jan 26 15:12:20 2014  weight of 1118049 cycles is about 78605647 (70.31/cycle)
Sun Jan 26 15:12:20 2014  distribution of cycle lengths:
Sun Jan 26 15:12:20 2014  1 relations: 111466
Sun Jan 26 15:12:20 2014  2 relations: 121679
Sun Jan 26 15:12:20 2014  3 relations: 125851
Sun Jan 26 15:12:20 2014  4 relations: 121789
Sun Jan 26 15:12:20 2014  5 relations: 114468
Sun Jan 26 15:12:20 2014  6 relations: 103927
Sun Jan 26 15:12:20 2014  7 relations: 91582
Sun Jan 26 15:12:20 2014  8 relations: 78342
Sun Jan 26 15:12:20 2014  9 relations: 63959
Sun Jan 26 15:12:20 2014  10+ relations: 184986
Sun Jan 26 15:12:20 2014  heaviest cycle: 19 relations
Sun Jan 26 15:12:20 2014  commencing cycle optimization
Sun Jan 26 15:12:21 2014  start with 6477236 relations
Sun Jan 26 15:12:28 2014  pruned 177169 relations
Sun Jan 26 15:12:28 2014  memory use: 210.3 MB
Sun Jan 26 15:12:28 2014  distribution of cycle lengths:
Sun Jan 26 15:12:28 2014  1 relations: 111466
Sun Jan 26 15:12:28 2014  2 relations: 124451
Sun Jan 26 15:12:28 2014  3 relations: 130461
Sun Jan 26 15:12:28 2014  4 relations: 125354
Sun Jan 26 15:12:28 2014  5 relations: 118209
Sun Jan 26 15:12:28 2014  6 relations: 106468
Sun Jan 26 15:12:28 2014  7 relations: 93542
Sun Jan 26 15:12:28 2014  8 relations: 78666
Sun Jan 26 15:12:28 2014  9 relations: 63177
Sun Jan 26 15:12:28 2014  10+ relations: 166255
Sun Jan 26 15:12:28 2014  heaviest cycle: 19 relations
Sun Jan 26 15:12:29 2014  RelProcTime: 301
Sun Jan 26 15:12:29 2014  
Sun Jan 26 15:12:29 2014  commencing linear algebra
Sun Jan 26 15:12:29 2014  read 1118049 cycles
Sun Jan 26 15:12:30 2014  cycles contain 3436048 unique relations
Sun Jan 26 15:12:56 2014  read 3436048 relations
Sun Jan 26 15:12:59 2014  using 20 quadratic characters above 268433772
Sun Jan 26 15:13:11 2014  building initial matrix
Sun Jan 26 15:13:40 2014  memory use: 444.5 MB
Sun Jan 26 15:13:41 2014  read 1118049 cycles
Sun Jan 26 15:13:41 2014  matrix is 1117877 x 1118049 (338.3 MB) with weight 107113537 (95.80/col)
Sun Jan 26 15:13:41 2014  sparse part has weight 75255436 (67.31/col)
Sun Jan 26 15:13:47 2014  filtering completed in 2 passes
Sun Jan 26 15:13:47 2014  matrix is 1117525 x 1117700 (338.2 MB) with weight 107099111 (95.82/col)
Sun Jan 26 15:13:47 2014  sparse part has weight 75250841 (67.33/col)
Sun Jan 26 15:13:51 2014  matrix starts at (0, 0)
Sun Jan 26 15:13:51 2014  matrix is 1117525 x 1117700 (338.2 MB) with weight 107099111 (95.82/col)
Sun Jan 26 15:13:51 2014  sparse part has weight 75250841 (67.33/col)
Sun Jan 26 15:13:51 2014  saving the first 48 matrix rows for later
Sun Jan 26 15:13:51 2014  matrix includes 64 packed rows
Sun Jan 26 15:13:51 2014  matrix is 1117477 x 1117700 (325.4 MB) with weight 85711635 (76.69/col)
Sun Jan 26 15:13:51 2014  sparse part has weight 74125150 (66.32/col)
Sun Jan 26 15:13:51 2014  using block size 65536 for processor cache size 8192 kB
Sun Jan 26 15:13:55 2014  commencing Lanczos iteration (6 threads)
Sun Jan 26 15:13:55 2014  memory use: 297.2 MB
Sun Jan 26 15:13:59 2014  linear algebra at 0.1%, ETA 0h49m
Sun Jan 26 15:14:00 2014  checkpointing every 1460000 dimensions
Sun Jan 26 15:59:07 2014  lanczos halted after 17673 iterations (dim = 1117475)
Sun Jan 26 15:59:08 2014  recovered 28 nontrivial dependencies
Sun Jan 26 15:59:08 2014  BLanczosTime: 2799
Sun Jan 26 15:59:08 2014  
Sun Jan 26 15:59:08 2014  commencing square root phase
Sun Jan 26 15:59:08 2014  reading relations for dependency 1
Sun Jan 26 15:59:08 2014  read 558854 cycles
Sun Jan 26 15:59:09 2014  cycles contain 1718582 unique relations
Sun Jan 26 15:59:36 2014  read 1718582 relations
Sun Jan 26 15:59:41 2014  multiplying 1718582 relations
Sun Jan 26 16:00:54 2014  multiply complete, coefficients have about 76.75 million bits
Sun Jan 26 16:00:54 2014  initial square root is modulo 322871
Sun Jan 26 16:02:47 2014  sqrtTime: 219
--
# Murphy_E = 7.108e-11, selected by Erik Branger
n: 9741547037268938044442733128007777410982662871577098836025234327443540967035680508810562233238726712221665289373253047488035515153
Y0: -19708648518070539492368601
Y1: 2104001437007
c0: -1195919505432791063322350375956000
c1: -7899662942892961784855744580
c2: 6477271414430801783948
c3: -2805376953561903
c4: -12949040380
c5: 3276
skew: 1251800.48
type: gnfs
# selected mechanically
rlim: 9800000
alim: 9800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
403e6280Serge BatalovNovember 15, 2013 18:33:08 UTC 2013 年 11 月 16 日 (土) 3 時 33 分 8 秒 (日本時間)
4511e6600 / 4413Serge BatalovNovember 20, 2013 01:03:07 UTC 2013 年 11 月 20 日 (水) 10 時 3 分 7 秒 (日本時間)

59×10211+319

c173

name 名前Serge Batalov
date 日付November 15, 2013 17:46:58 UTC 2013 年 11 月 16 日 (土) 2 時 46 分 58 秒 (日本時間)
composite number 合成数
17190233249725031713838476141115718150543077938681752418441948508514941187351302985877290864523971052172178754810997553572146083111646274528033630043312273368341164811058719<173>
prime factors 素因数
54368851316706647847286598060678141<35>
316177973847366491035316989544467266432846746035331308495200694874618914724361949356029360992662053483590624901044868398438686378688112459<138>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3373442794
Step 1 took 11392ms
Step 2 took 10793ms
********** Factor found in step 2: 54368851316706647847286598060678141
Found probable prime factor of 35 digits: 54368851316706647847286598060678141
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)

59×10212+319

c208

name 名前Bob Backstrom
date 日付September 4, 2017 13:20:21 UTC 2017 年 9 月 4 日 (月) 22 時 20 分 21 秒 (日本時間)
composite number 合成数
2976104904166899963025679749926480120375877005150679182448850088551731512965981103247132220270099174912747161729106860829768312755333406979319097463400214985747484056400718905882952316241915965894846647367383<208>
prime factors 素因数
52720893400156596336211810808761547325474587501627343607673305213943<68>
56450198625770254279159372718499892804944439471158853080446213082812464947287613168670479374467253530281010903936596414767114084410273666081<140>
factorization results 素因数分解の結果
Number: n
N=2976104904166899963025679749926480120375877005150679182448850088551731512965981103247132220270099174912747161729106860829768312755333406979319097463400214985747484056400718905882952316241915965894846647367383
  ( 208 digits)
SNFS difficulty: 213 digits.
Divisors found:

Mon Sep  4 23:13:28 2017  prp68 factor: 52720893400156596336211810808761547325474587501627343607673305213943
Mon Sep  4 23:13:28 2017  prp140 factor: 56450198625770254279159372718499892804944439471158853080446213082812464947287613168670479374467253530281010903936596414767114084410273666081
Mon Sep  4 23:13:28 2017  elapsed time 18:42:05 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=3.821).
Factorization parameters were as follows:
#
# 59x10^212+31 65(211)9
#
n: 2976104904166899963025679749926480120375877005150679182448850088551731512965981103247132220270099174912747161729106860829768312755333406979319097463400214985747484056400718905882952316241915965894846647367383
m: 100000000000000000000000000000000000
deg: 6
c6: 5900
c0: 31
skew: 0.42
# Murphy_E = 2.451e-12
type: snfs
lss: 1
rlim: 26000000
alim: 26000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 26000000/26000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 69000000)
Primes: RFBsize:1624527, AFBsize:1624836,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 14256618 hash collisions in 71473331 relations (57870293 unique)
Msieve: matrix is 3845485 x 3845711 (1097.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 18hrs 13min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 2sec.

Prototype def-par.txt line would be:
snfs,213,6,0,0,0,0,0,0,0,0,26000000,26000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
403e6280Serge BatalovNovember 15, 2013 18:33:10 UTC 2013 年 11 月 16 日 (土) 3 時 33 分 10 秒 (日本時間)
4511e64018600Serge BatalovNovember 20, 2013 01:03:22 UTC 2013 年 11 月 20 日 (水) 10 時 3 分 22 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:33 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 33 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:11 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 11 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:25 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 25 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:03 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 3 秒 (日本時間)
18KTakahashiSeptember 2, 2014 12:29:27 UTC 2014 年 9 月 2 日 (火) 21 時 29 分 27 秒 (日本時間)
5043e6113 / 6640KTakahashiSeptember 6, 2014 03:23:21 UTC 2014 年 9 月 6 日 (土) 12 時 23 分 21 秒 (日本時間)

59×10214+319

c211

name 名前Bob Backstrom
date 日付September 18, 2017 02:37:28 UTC 2017 年 9 月 18 日 (月) 11 時 37 分 28 秒 (日本時間)
composite number 合成数
4555316208432739598051251167782333093986210517375829028945560110871763988295153606806723337888649541766072931384584501115666427319543850709162362278893444205097321628486940140056671221982875099406264717917834449<211>
prime factors 素因数
13701867563558302668343675577851417029219219093008819022629<59>
332459512347654601629236200283654198856112587093098328424482535495852100987054289552564326335357224477026088055456124850145803341489385150401345368203581<153>
factorization results 素因数分解の結果
Number: n
N=4555316208432739598051251167782333093986210517375829028945560110871763988295153606806723337888649541766072931384584501115666427319543850709162362278893444205097321628486940140056671221982875099406264717917834449
  ( 211 digits)
SNFS difficulty: 217 digits.
Divisors found:

Mon Sep 18 09:06:56 2017  p59 factor: 13701867563558302668343675577851417029219219093008819022629
Mon Sep 18 09:06:56 2017  p153 factor: 332459512347654601629236200283654198856112587093098328424482535495852100987054289552564326335357224477026088055456124850145803341489385150401345368203581
Mon Sep 18 09:06:56 2017  elapsed time 07:30:25 (Msieve 1.53 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.632).
Factorization parameters were as follows:
#
# 59x10^214+31 65(213)9
#
n: 4555316208432739598051251167782333093986210517375829028945560110871763988295153606806723337888649541766072931384584501115666427319543850709162362278893444205097321628486940140056671221982875099406264717917834449
m: 500000000000000000000000000000000000
deg: 6
c6: 944
c0: 775
skew: 0.97
# Murphy_E = 1.885e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 29000000/29000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 90500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 14479290 hash collisions in 69511018 relations (56548539 unique)
Msieve: matrix is 4333887 x 4334112 (1238.4 MB)

Sieving start time: 2017/09/15 17:54:11
Sieving end time  : 2017/09/18 01:31:25

Total sieving time: 55hrs 37min 14secs.

Total relation processing time: 6hrs 46min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 23min 29sec.

Prototype def-par.txt line would be:
snfs,217,6,0,0,0,0,0,0,0,0,29000000,29000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.178577] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16306368K/16703460K available (9091K kernel code, 1667K rwdata, 3820K rodata, 2232K init, 2364K bss, 397092K reserved, 0K cma-reserved)
[    0.215024] x86/mm: Memory block size: 128MB
[    0.000018] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.38 BogoMIPS (lpj=11976772)
[    0.212835] smpboot: Total of 16 processors activated (95814.17 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
403e6280Serge BatalovNovember 15, 2013 18:33:11 UTC 2013 年 11 月 16 日 (土) 3 時 33 分 11 秒 (日本時間)
4511e64018600Serge BatalovNovember 20, 2013 01:03:25 UTC 2013 年 11 月 20 日 (水) 10 時 3 分 25 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:47 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 47 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:17 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 17 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:30 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 30 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:03 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 3 秒 (日本時間)
18KTakahashiSeptember 2, 2014 12:29:43 UTC 2014 年 9 月 2 日 (火) 21 時 29 分 43 秒 (日本時間)
5043e6113 / 6640KTakahashiSeptember 6, 2014 03:23:36 UTC 2014 年 9 月 6 日 (土) 12 時 23 分 36 秒 (日本時間)

59×10215+319

c159

name 名前Serge Batalov
date 日付January 9, 2014 06:25:12 UTC 2014 年 1 月 9 日 (木) 15 時 25 分 12 秒 (日本時間)
composite number 合成数
212916740880272741744396849287296813729034745999253752509674468130119921934826571748635533590012784083712303623262773033091186945550652021070864502297283049927<159>
prime factors 素因数
86361838316930005004914456470653458561<38>
2465403064938387902702373362487245594809829654525829634809615755146849445497528342510119243094114679508125202496622440007<121>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3788256800
Step 1 took 12142ms
Step 2 took 5586ms
********** Factor found in step 2: 86361838316930005004914456470653458561
Found probable prime factor of 38 digits: 86361838316930005004914456470653458561
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
403e6580 / 2318280Serge BatalovNovember 15, 2013 18:33:12 UTC 2013 年 11 月 16 日 (土) 3 時 33 分 12 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:58:09 UTC 2014 年 1 月 9 日 (木) 13 時 58 分 9 秒 (日本時間)

59×10216+319

c158

name 名前Cyp
date 日付February 7, 2014 06:31:28 UTC 2014 年 2 月 7 日 (金) 15 時 31 分 28 秒 (日本時間)
composite number 合成数
16947441018171221947191700336418921547688237065554027811866437379730166091351774084555455021437915471682927297534616352571522473707065761776930124927999386659<158>
prime factors 素因数
11905730016033533219927633517568626048863849<44>
composite cofactor 合成数の残り
1423469287086804408057188958707035549501505612761716913035469327428203016761070345443770043605209199227705215083691<115>
factorization results 素因数分解の結果
Run 97 out of 189:
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2444731280
Step 1 took 196762ms
Step 2 took 51513ms
********** Factor found in step 2: 11905730016033533219927633517568626048863849
Found probable prime factor of 44 digits: 11905730016033533219927633517568626048863849
Composite cofactor 1423469287086804408057188958707035549501505612761716913035469327428203016761070345443770043605209199227705215083691 has 115 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c115

name 名前Cyp
date 日付February 7, 2014 23:35:55 UTC 2014 年 2 月 8 日 (土) 8 時 35 分 55 秒 (日本時間)
composite number 合成数
1423469287086804408057188958707035549501505612761716913035469327428203016761070345443770043605209199227705215083691<115>
prime factors 素因数
15707008927933660225970908805984632328109684514179664643<56>
90626375372797938051856181458073039709928241877299744193337<59>
factorization results 素因数分解の結果
02/07/14 21:55:39 v1.34.3, 
02/07/14 21:55:39 v1.34.3, ****************************
02/07/14 21:55:39 v1.34.3, Starting factorization of 1423469287086804408057188958707035549501505612761716913035469327428203016761070345443770043605209199227705215083691
02/07/14 21:55:39 v1.34.3, using pretesting plan: none
02/07/14 21:55:39 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
02/07/14 21:55:39 v1.34.3, ****************************
02/07/14 21:55:39 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C115
02/07/14 21:55:39 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C115
02/07/14 21:55:39 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C115
02/07/14 21:55:39 v1.34.3, final ECM pretested depth: 0.00
02/07/14 21:55:39 v1.34.3, scheduler: switching to sieve method
02/07/14 21:55:39 v1.34.3, nfs: commencing nfs on c115: 1423469287086804408057188958707035549501505612761716913035469327428203016761070345443770043605209199227705215083691
02/07/14 21:55:39 v1.34.3, nfs: commencing poly selection with 8 threads
02/07/14 21:55:39 v1.34.3, nfs: setting deadline of 825 seconds
02/07/14 22:09:44 v1.34.3, nfs: completed 140 ranges of size 250 in 844.2514 seconds
02/07/14 22:09:44 v1.34.3, nfs: best poly = # norm 7.663305e-11 alpha -6.963159 e 6.089e-10 rroots 3
02/07/14 22:09:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/07/14 22:15:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
[20 lines snipped]
02/08/14 00:12:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/08/14 00:18:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/08/14 00:25:07 v1.34.3, nfs: commencing msieve filtering
02/08/14 00:27:04 v1.34.3, nfs: commencing msieve linear algebra
02/08/14 00:34:34 v1.34.3, nfs: commencing msieve sqrt
02/08/14 00:35:53 v1.34.3, prp56 = 15707008927933660225970908805984632328109684514179664643
02/08/14 00:35:53 v1.34.3, prp59 = 90626375372797938051856181458073039709928241877299744193337
02/08/14 00:35:53 v1.34.3, NFS elapsed time = 9613.8780 seconds.
02/08/14 00:35:53 v1.34.3, 
02/08/14 00:35:53 v1.34.3, 
02/08/14 00:35:53 v1.34.3, Total factoring time = 9613.9159 seconds
--
Sat Feb  8 00:25:07 2014  
Sat Feb  8 00:25:07 2014  commencing relation filtering
Sat Feb  8 00:25:07 2014  estimated available RAM is 15988.7 MB
Sat Feb  8 00:25:07 2014  commencing duplicate removal, pass 1
Sat Feb  8 00:25:38 2014  found 1495911 hash collisions in 10124626 relations
Sat Feb  8 00:25:48 2014  added 62575 free relations
Sat Feb  8 00:25:48 2014  commencing duplicate removal, pass 2
Sat Feb  8 00:25:56 2014  found 427528 duplicates and 9759673 unique relations
Sat Feb  8 00:25:56 2014  memory use: 66.6 MB
Sat Feb  8 00:25:56 2014  reading ideals above 100000
Sat Feb  8 00:25:56 2014  commencing singleton removal, initial pass
Sat Feb  8 00:26:40 2014  memory use: 344.5 MB
Sat Feb  8 00:26:40 2014  reading all ideals from disk
Sat Feb  8 00:26:41 2014  memory use: 337.4 MB
Sat Feb  8 00:26:41 2014  keeping 10621494 ideals with weight <= 200, target excess is 55163
Sat Feb  8 00:26:42 2014  commencing in-memory singleton removal
Sat Feb  8 00:26:42 2014  begin with 9759673 relations and 10621494 unique ideals
Sat Feb  8 00:26:46 2014  reduce to 3587333 relations and 3302602 ideals in 24 passes
Sat Feb  8 00:26:46 2014  max relations containing the same ideal: 102
Sat Feb  8 00:26:47 2014  removing 768248 relations and 657877 ideals in 110371 cliques
Sat Feb  8 00:26:47 2014  commencing in-memory singleton removal
Sat Feb  8 00:26:48 2014  begin with 2819085 relations and 3302602 unique ideals
Sat Feb  8 00:26:49 2014  reduce to 2683119 relations and 2503064 ideals in 11 passes
Sat Feb  8 00:26:49 2014  max relations containing the same ideal: 84
Sat Feb  8 00:26:49 2014  removing 578166 relations and 467795 ideals in 110371 cliques
Sat Feb  8 00:26:49 2014  commencing in-memory singleton removal
Sat Feb  8 00:26:49 2014  begin with 2104953 relations and 2503064 unique ideals
Sat Feb  8 00:26:50 2014  reduce to 1998311 relations and 1923984 ideals in 10 passes
Sat Feb  8 00:26:50 2014  max relations containing the same ideal: 69
Sat Feb  8 00:26:51 2014  removing 90007 relations and 79670 ideals in 10337 cliques
Sat Feb  8 00:26:51 2014  commencing in-memory singleton removal
Sat Feb  8 00:26:51 2014  begin with 1908304 relations and 1923984 unique ideals
Sat Feb  8 00:26:51 2014  reduce to 1905474 relations and 1841468 ideals in 6 passes
Sat Feb  8 00:26:51 2014  max relations containing the same ideal: 68
Sat Feb  8 00:26:51 2014  relations with 0 large ideals: 210
Sat Feb  8 00:26:51 2014  relations with 1 large ideals: 1466
Sat Feb  8 00:26:51 2014  relations with 2 large ideals: 14911
Sat Feb  8 00:26:51 2014  relations with 3 large ideals: 83219
Sat Feb  8 00:26:51 2014  relations with 4 large ideals: 263729
Sat Feb  8 00:26:51 2014  relations with 5 large ideals: 493873
Sat Feb  8 00:26:51 2014  relations with 6 large ideals: 544909
Sat Feb  8 00:26:51 2014  relations with 7+ large ideals: 503157
Sat Feb  8 00:26:51 2014  commencing 2-way merge
Sat Feb  8 00:26:52 2014  reduce to 1069723 relation sets and 1005717 unique ideals
Sat Feb  8 00:26:52 2014  commencing full merge
Sat Feb  8 00:27:00 2014  memory use: 112.5 MB
Sat Feb  8 00:27:00 2014  found 534206 cycles, need 525917
Sat Feb  8 00:27:01 2014  weight of 525917 cycles is about 36849644 (70.07/cycle)
Sat Feb  8 00:27:01 2014  distribution of cycle lengths:
Sat Feb  8 00:27:01 2014  1 relations: 59301
Sat Feb  8 00:27:01 2014  2 relations: 56741
Sat Feb  8 00:27:01 2014  3 relations: 57582
Sat Feb  8 00:27:01 2014  4 relations: 52432
Sat Feb  8 00:27:01 2014  5 relations: 48570
Sat Feb  8 00:27:01 2014  6 relations: 42598
Sat Feb  8 00:27:01 2014  7 relations: 38171
Sat Feb  8 00:27:01 2014  8 relations: 33131
Sat Feb  8 00:27:01 2014  9 relations: 28392
Sat Feb  8 00:27:01 2014  10+ relations: 108999
Sat Feb  8 00:27:01 2014  heaviest cycle: 21 relations
Sat Feb  8 00:27:01 2014  commencing cycle optimization
Sat Feb  8 00:27:01 2014  start with 3217245 relations
Sat Feb  8 00:27:04 2014  pruned 63974 relations
Sat Feb  8 00:27:04 2014  memory use: 109.3 MB
Sat Feb  8 00:27:04 2014  distribution of cycle lengths:
Sat Feb  8 00:27:04 2014  1 relations: 59301
Sat Feb  8 00:27:04 2014  2 relations: 57879
Sat Feb  8 00:27:04 2014  3 relations: 59315
Sat Feb  8 00:27:04 2014  4 relations: 53436
Sat Feb  8 00:27:04 2014  5 relations: 49497
Sat Feb  8 00:27:04 2014  6 relations: 43280
Sat Feb  8 00:27:04 2014  7 relations: 38415
Sat Feb  8 00:27:04 2014  8 relations: 33243
Sat Feb  8 00:27:04 2014  9 relations: 28228
Sat Feb  8 00:27:04 2014  10+ relations: 103323
Sat Feb  8 00:27:04 2014  heaviest cycle: 20 relations
Sat Feb  8 00:27:04 2014  RelProcTime: 117
Sat Feb  8 00:27:04 2014  
Sat Feb  8 00:27:04 2014  commencing linear algebra
Sat Feb  8 00:27:04 2014  read 525917 cycles
Sat Feb  8 00:27:05 2014  cycles contain 1847843 unique relations
Sat Feb  8 00:27:16 2014  read 1847843 relations
Sat Feb  8 00:27:17 2014  using 20 quadratic characters above 134216120
Sat Feb  8 00:27:23 2014  building initial matrix
Sat Feb  8 00:27:33 2014  memory use: 230.9 MB
Sat Feb  8 00:27:33 2014  read 525917 cycles
Sat Feb  8 00:27:33 2014  matrix is 525739 x 525917 (157.3 MB) with weight 50478937 (95.98/col)
Sat Feb  8 00:27:33 2014  sparse part has weight 35455000 (67.42/col)
Sat Feb  8 00:27:35 2014  filtering completed in 2 passes
Sat Feb  8 00:27:35 2014  matrix is 524892 x 525070 (157.3 MB) with weight 50445066 (96.07/col)
Sat Feb  8 00:27:35 2014  sparse part has weight 35446429 (67.51/col)
Sat Feb  8 00:27:37 2014  matrix starts at (0, 0)
Sat Feb  8 00:27:37 2014  matrix is 524892 x 525070 (157.3 MB) with weight 50445066 (96.07/col)
Sat Feb  8 00:27:37 2014  sparse part has weight 35446429 (67.51/col)
Sat Feb  8 00:27:37 2014  saving the first 48 matrix rows for later
Sat Feb  8 00:27:37 2014  matrix includes 64 packed rows
Sat Feb  8 00:27:37 2014  matrix is 524844 x 525070 (152.2 MB) with weight 39988074 (76.16/col)
Sat Feb  8 00:27:37 2014  sparse part has weight 34637722 (65.97/col)
Sat Feb  8 00:27:37 2014  using block size 65536 for processor cache size 8192 kB
Sat Feb  8 00:27:38 2014  commencing Lanczos iteration (8 threads)
Sat Feb  8 00:27:38 2014  memory use: 145.3 MB
Sat Feb  8 00:27:41 2014  linear algebra at 0.6%, ETA 0h 8m
Sat Feb  8 00:34:34 2014  lanczos halted after 8302 iterations (dim = 524842)
Sat Feb  8 00:34:34 2014  recovered 29 nontrivial dependencies
Sat Feb  8 00:34:34 2014  BLanczosTime: 450
Sat Feb  8 00:34:34 2014  
Sat Feb  8 00:34:34 2014  commencing square root phase
Sat Feb  8 00:34:34 2014  reading relations for dependency 1
Sat Feb  8 00:34:34 2014  read 262846 cycles
Sat Feb  8 00:34:35 2014  cycles contain 925032 unique relations
Sat Feb  8 00:34:44 2014  read 925032 relations
Sat Feb  8 00:34:46 2014  multiplying 925032 relations
Sat Feb  8 00:35:16 2014  multiply complete, coefficients have about 39.81 million bits
Sat Feb  8 00:35:16 2014  initial square root is modulo 520063
Sat Feb  8 00:35:53 2014  sqrtTime: 79
--
n: 1423469287086804408057188958707035549501505612761716913035469327428203016761070345443770043605209199227705215083691
skew: 79893.18
c0: 6700845577889252017879186305
c1: 43302862412981253280853
c2: -3096626571072357653
c3: -67434664023385
c4: -1760285196
c5: 4788
Y0: -12434825376498388983058
Y1: 350035319149
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
403e6580280Serge BatalovNovember 15, 2013 18:33:12 UTC 2013 年 11 月 16 日 (土) 3 時 33 分 12 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:58:12 UTC 2014 年 1 月 9 日 (木) 13 時 58 分 12 秒 (日本時間)
4511e60 / 3684--
5043e6189 / 7531CypFebruary 7, 2014 06:31:26 UTC 2014 年 2 月 7 日 (金) 15 時 31 分 26 秒 (日本時間)

59×10217+319

c195

name 名前Serge Batalov
date 日付November 15, 2013 07:26:07 UTC 2013 年 11 月 15 日 (金) 16 時 26 分 7 秒 (日本時間)
composite number 合成数
133804898129978659385115370615078821270120882363030836834340649815522715594228052326686820561405896727372459929902948960104629001280619234588831752113263153467752258767525498587892587829695082679<195>
prime factors 素因数
3130130171363589160325843149860910897<37>
composite cofactor 合成数の残り
42747390940514394155824769871419065509147880069224320126599182737409795566156100376001486021319497430129937659090454310088654882488279787087955708587311791207<158>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1095731334
Step 1 took 18281ms
Step 2 took 13137ms
********** Factor found in step 2: 3130130171363589160325843149860910897
Found probable prime factor of 37 digits: 3130130171363589160325843149860910897
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
403e62880280Serge BatalovNovember 15, 2013 18:33:13 UTC 2013 年 11 月 16 日 (土) 3 時 33 分 13 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:58:13 UTC 2014 年 1 月 9 日 (木) 13 時 58 分 13 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:57 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 57 秒 (日本時間)
1000Dmitry DomanovMay 28, 2014 12:04:20 UTC 2014 年 5 月 28 日 (水) 21 時 4 分 20 秒 (日本時間)
4511e61500 / 3702Dmitry DomanovJune 3, 2014 11:17:52 UTC 2014 年 6 月 3 日 (火) 20 時 17 分 52 秒 (日本時間)
5043e639 / 7107CypJanuary 23, 2014 03:45:56 UTC 2014 年 1 月 23 日 (木) 12 時 45 分 56 秒 (日本時間)

59×10219+319

c209

name 名前Bob Backstrom
date 日付March 13, 2020 15:32:05 UTC 2020 年 3 月 14 日 (土) 0 時 32 分 5 秒 (日本時間)
composite number 合成数
44552380575915148814696190355607555246523682477435355054046441675385633977503450546231812354807311577134619343110358063885265128568557135236111783751720560497235748637945543607206284408854921924138142419051241<209>
prime factors 素因数
835320921893457774214963452970997725708607869410883522245685915189<66>
53335645508466801219244369267298509112189202231122555344203983061828995114390189092965908588375549373691658918414908860394334585859546363168869<143>
factorization results 素因数分解の結果
Number: n
N=44552380575915148814696190355607555246523682477435355054046441675385633977503450546231812354807311577134619343110358063885265128568557135236111783751720560497235748637945543607206284408854921924138142419051241
  ( 209 digits)
SNFS difficulty: 220 digits.
Divisors found:

Sat Mar 14 02:25:57 2020  p66 factor: 835320921893457774214963452970997725708607869410883522245685915189
Sat Mar 14 02:25:57 2020  p143 factor: 53335645508466801219244369267298509112189202231122555344203983061828995114390189092965908588375549373691658918414908860394334585859546363168869
Sat Mar 14 02:25:57 2020  elapsed time 09:29:33 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.131).
Factorization parameters were as follows:
#
# N = 59x10^219+31 = 65(218)9
#
n: 44552380575915148814696190355607555246523682477435355054046441675385633977503450546231812354807311577134619343110358063885265128568557135236111783751720560497235748637945543607206284408854921924138142419051241
m: 1000000000000000000000000000000000000
deg: 6
c6: 59000
c0: 31
skew: 0.28
# Murphy_E = 1.963e-12
type: snfs
lss: 1
rlim: 33000000
alim: 33000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 33000000/33000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 99700000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10966560 hash collisions in 62739686 relations (53978430 unique)
Msieve: matrix is 4483619 x 4483844 (1572.2 MB)

Sieving start time: 2020/03/11 13:53:52
Sieving end time  : 2020/03/13 16:55:20

Total sieving time: 51hrs 1min 28secs.

Total relation processing time: 8hrs 58min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 54sec.
Prototype def-par.txt line would be:
snfs,220,6,0,0,0,0,0,0,0,0,33000000,33000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149125] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283236K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2428K init, 2712K bss, 420224K reserved, 0K cma-reserved)
[    0.184569] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.72 BogoMIPS (lpj=11977448)
[    0.182219] smpboot: Total of 16 processors activated (95819.58 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
403e62880280Serge BatalovNovember 15, 2013 18:33:14 UTC 2013 年 11 月 16 日 (土) 3 時 33 分 14 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:58:13 UTC 2014 年 1 月 9 日 (木) 13 時 58 分 13 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:58 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 58 秒 (日本時間)
1000Dmitry DomanovMay 28, 2014 12:04:43 UTC 2014 年 5 月 28 日 (水) 21 時 4 分 43 秒 (日本時間)
4511e61500 / 3838Dmitry DomanovJune 6, 2014 11:58:59 UTC 2014 年 6 月 6 日 (金) 20 時 58 分 59 秒 (日本時間)

59×10220+319

c187

name 名前Serge Batalov
date 日付November 15, 2013 07:27:17 UTC 2013 年 11 月 15 日 (金) 16 時 27 分 17 秒 (日本時間)
composite number 合成数
1444878159800583576997452558157609995784446238238201459070293103190104455900526116597304749629404789606833899402880647876866717442360305350153373594395262876150242359128380849205856928687<187>
prime factors 素因数
87994271343235674536520237300928009433773<41>
composite cofactor 合成数の残り
16420138922051028959645535785245989656334537567732281108511917344466289820849052608216249210915942717387066530473623232624262266324769766932019019<146>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1572609324
Step 1 took 15641ms
Step 2 took 12173ms
********** Factor found in step 2: 87994271343235674536520237300928009433773
Found probable prime factor of 41 digits: 87994271343235674536520237300928009433773
Composite cofactor 

c146

name 名前Serge Batalov
date 日付January 5, 2014 07:44:18 UTC 2014 年 1 月 5 日 (日) 16 時 44 分 18 秒 (日本時間)
composite number 合成数
16420138922051028959645535785245989656334537567732281108511917344466289820849052608216249210915942717387066530473623232624262266324769766932019019<146>
prime factors 素因数
13031029535694636529931236367448261048901<41>
1260079940504542138031268137959894504994340564237817367907192131907457719541673485406778874508857554979919<106>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1433192351
Step 1 took 37826ms
Step 2 took 13348ms
********** Factor found in step 2: 13031029535694636529931236367448261048901
Found probable prime factor of 41 digits: 13031029535694636529931236367448261048901
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
403e6280Serge BatalovNovember 15, 2013 18:33:15 UTC 2013 年 11 月 16 日 (土) 3 時 33 分 15 秒 (日本時間)
4511e6600 / 4413Serge BatalovNovember 20, 2013 01:03:15 UTC 2013 年 11 月 20 日 (水) 10 時 3 分 15 秒 (日本時間)

59×10221+319

c169

name 名前Erik Branger
date 日付November 14, 2021 21:11:40 UTC 2021 年 11 月 15 日 (月) 6 時 11 分 40 秒 (日本時間)
composite number 合成数
5921809944437459261058804419485657266439460099727470812588569628838261295533563141458394835003266066165962009038796534760487647241836412052219961497216419232982200116699<169>
prime factors 素因数
45100403460423467866940809416999157381892629684984939306497319<62>
131302815276008990673241080715562092849910774465865938774795987606502319301384260753699615620064796280767021<108>
factorization results 素因数分解の結果
Number: 65559_221
N = 5921809944437459261058804419485657266439460099727470812588569628838261295533563141458394835003266066165962009038796534760487647241836412052219961497216419232982200116699 (169 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=45100403460423467866940809416999157381892629684984939306497319 (pp62)
r2=131302815276008990673241080715562092849910774465865938774795987606502319301384260753699615620064796280767021 (pp108)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 64.55 hours.
Factorization parameters were as follows:
n: 5921809944437459261058804419485657266439460099727470812588569628838261295533563141458394835003266066165962009038796534760487647241836412052219961497216419232982200116699
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 590
c0: 31
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 7262674 relations
Pruned matrix : 6427093 x 6427319
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 27.33 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 35.87 hours.
time per square root: 1.05 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 64.55 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
403e62880280Serge BatalovNovember 15, 2013 18:33:16 UTC 2013 年 11 月 16 日 (土) 3 時 33 分 16 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:58:14 UTC 2014 年 1 月 9 日 (木) 13 時 58 分 14 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:58 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 58 秒 (日本時間)
1000Dmitry DomanovMay 28, 2014 12:05:01 UTC 2014 年 5 月 28 日 (水) 21 時 5 分 1 秒 (日本時間)
4511e61500 / 3838Dmitry DomanovJune 3, 2014 11:18:12 UTC 2014 年 6 月 3 日 (火) 20 時 18 分 12 秒 (日本時間)

59×10222+319

c216

name 名前Dmitry Domanov
date 日付June 9, 2014 06:32:12 UTC 2014 年 6 月 9 日 (月) 15 時 32 分 12 秒 (日本時間)
composite number 合成数
148668582258829265202785596674286838637764093263147953967661201778409866193412740549262326275312549047245673494165475031284216373433888932267357424240512625599974426988006298195818813042991050809017509487632050238047<216>
prime factors 素因数
99686622778361186812103475699223053531793781<44>
composite cofactor 合成数の残り
1491359403250849347920166136465992029895376376836285636981788085911051726359477301823746577450785674843486262493207022881980105544159292567221782698366648175434664683421187<172>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3584727828
Step 1 took 116459ms
Step 2 took 37270ms
********** Factor found in step 2: 99686622778361186812103475699223053531793781
Found probable prime factor of 44 digits: 99686622778361186812103475699223053531793781

c172

name 名前Erik Branger
date 日付February 27, 2022 21:07:54 UTC 2022 年 2 月 28 日 (月) 6 時 7 分 54 秒 (日本時間)
composite number 合成数
1491359403250849347920166136465992029895376376836285636981788085911051726359477301823746577450785674843486262493207022881980105544159292567221782698366648175434664683421187<172>
prime factors 素因数
16457801316359772887375689837505606567439842984967346475329733201489<68>
90617171430327877614102265552608777872846192788281208107090414301475462476467175824812532950917102718483<104>
factorization results 素因数分解の結果
Number: 65559_222
N = 1491359403250849347920166136465992029895376376836285636981788085911051726359477301823746577450785674843486262493207022881980105544159292567221782698366648175434664683421187 (172 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=16457801316359772887375689837505606567439842984967346475329733201489 (pp68)
r2=90617171430327877614102265552608777872846192788281208107090414301475462476467175824812532950917102718483 (pp104)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 95.58 hours.
Factorization parameters were as follows:
n: 1491359403250849347920166136465992029895376376836285636981788085911051726359477301823746577450785674843486262493207022881980105544159292567221782698366648175434664683421187
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 5900
c0: 31
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33951510
Relations: 9732214 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 30.77 hours.
Total relation processing time: 0.48 hours.
Pruned matrix : 8307599 x 8307824
Matrix solve time: 62.99 hours.
time per square root: 1.34 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 95.58 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
403e62880280Serge BatalovNovember 15, 2013 18:33:17 UTC 2013 年 11 月 16 日 (土) 3 時 33 分 17 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:58:15 UTC 2014 年 1 月 9 日 (木) 13 時 58 分 15 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:58 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 58 秒 (日本時間)
1000Dmitry DomanovMay 28, 2014 12:05:19 UTC 2014 年 5 月 28 日 (水) 21 時 5 分 19 秒 (日本時間)
4511e61500 / 3838Dmitry DomanovJune 6, 2014 11:59:29 UTC 2014 年 6 月 6 日 (金) 20 時 59 分 29 秒 (日本時間)

59×10223+319

c198

name 名前Serge Batalov
date 日付November 15, 2013 07:28:06 UTC 2013 年 11 月 15 日 (金) 16 時 28 分 6 秒 (日本時間)
composite number 合成数
906601127096999342660080694620543418098848702388939296972899252601696109009394690825364140857928574352122025746264348921616185534987002967609973382649556918580641111567321433873678225537335901404151<198>
prime factors 素因数
172811214852956720465986116916947331<36>
5246193818314493574830281792836475046989932470816965185177786384478843491659009894675450599299273389647892332880260207193070964706349061093189094374658292377124221<163>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2777733869
Step 1 took 18041ms
Step 2 took 13125ms
********** Factor found in step 2: 172811214852956720465986116916947331
Found probable prime factor of 36 digits: 172811214852956720465986116916947331
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)

59×10224+319

c200

composite cofactor 合成数の残り
89960073203972190750377098577624734637665640135670404882055903887434668830924050187821120160111802882548374463615430007364967500062308239691184205026289473125169617926030191705786460072730634509978341<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
403e62880280Serge BatalovNovember 15, 2013 18:33:18 UTC 2013 年 11 月 16 日 (土) 3 時 33 分 18 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:58:16 UTC 2014 年 1 月 9 日 (木) 13 時 58 分 16 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:59 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 59 秒 (日本時間)
1000Dmitry DomanovMay 28, 2014 12:05:39 UTC 2014 年 5 月 28 日 (水) 21 時 5 分 39 秒 (日本時間)
4511e61500 / 3838Dmitry DomanovJune 6, 2014 11:59:51 UTC 2014 年 6 月 6 日 (金) 20 時 59 分 51 秒 (日本時間)

59×10225+319

c214

composite cofactor 合成数の残り
1295869499865336685940215129091438959065604723626645428113938613359937026652116323828355310128703834828468431862100575527081192914635957501957341071880279186983900060269005363732022951673623052387047770052383145069<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
403e62880280Serge BatalovNovember 15, 2013 18:33:19 UTC 2013 年 11 月 16 日 (土) 3 時 33 分 19 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:58:16 UTC 2014 年 1 月 9 日 (木) 13 時 58 分 16 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:06:59 UTC 2014 年 5 月 27 日 (火) 3 時 6 分 59 秒 (日本時間)
1000Dmitry DomanovMay 28, 2014 12:06:04 UTC 2014 年 5 月 28 日 (水) 21 時 6 分 4 秒 (日本時間)
4511e61500 / 3838Dmitry DomanovJune 6, 2014 12:00:12 UTC 2014 年 6 月 6 日 (金) 21 時 0 分 12 秒 (日本時間)

59×10227+319

c165

name 名前Dmitry Domanov
date 日付June 4, 2014 11:49:02 UTC 2014 年 6 月 4 日 (水) 20 時 49 分 2 秒 (日本時間)
composite number 合成数
514669223782969853980486308542334281874005663931668883254984916694602118139745698397278479156295959063529150789645979566657481820874851747486812208605280399182764611<165>
prime factors 素因数
191064882343918164097133058602714007733937<42>
5770981170357015120865188690339017540249578335857099<52>
466764341364952953035912673468299802207328885431581729023025090171434297<72>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3579835443
Step 1 took 74702ms
Step 2 took 26615ms
********** Factor found in step 2: 191064882343918164097133058602714007733937
Found probable prime factor of 42 digits: 191064882343918164097133058602714007733937
Composite cofactor 2693688225011237517654115243874885234115558972725477812624403039650132331113816419995977628991209810672686598168001659524403 has 124 digits

N=2693688225011237517654115243874885234115558972725477812624403039650132331113816419995977628991209810672686598168001659524403
  ( 124 digits)
Divisors found:
 r1=5770981170357015120865188690339017540249578335857099 (pp52)
 r2=466764341364952953035912673468299802207328885431581729023025090171434297 (pp72)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 62.54 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2693688225011237517654115243874885234115558972725477812624403039650132331113816419995977628991209810672686598168001659524403
skew: 135515.61
c0: -801122095336099302440897359
c1: 2489370961020758682608291
c2: -26174778985895226015
c3: -472751428814791
c4: -2639470222
c5: 2856
Y0: -988366643346112395066198
Y1: 3138537778021
rlim: 6700000
alim: 6700000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 240000
type: gnfs
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [3350000, 6230001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 788905 x 789131
Total sieving time: 61.66 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.62 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
gnfs,123,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6700000,6700000,27,27,54,54,2.5,2.5,100000
total time: 62.54 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
403e62880280Serge BatalovNovember 15, 2013 18:33:20 UTC 2013 年 11 月 16 日 (土) 3 時 33 分 20 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:58:17 UTC 2014 年 1 月 9 日 (木) 13 時 58 分 17 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:00 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 0 秒 (日本時間)
1000Dmitry DomanovMay 28, 2014 12:06:30 UTC 2014 年 5 月 28 日 (水) 21 時 6 分 30 秒 (日本時間)
4511e61500 / 3702Dmitry DomanovJune 3, 2014 11:18:34 UTC 2014 年 6 月 3 日 (火) 20 時 18 分 34 秒 (日本時間)
5043e639 / 7107CypJanuary 28, 2014 08:26:28 UTC 2014 年 1 月 28 日 (火) 17 時 26 分 28 秒 (日本時間)

59×10230+319

c223

name 名前Serge Batalov
date 日付November 15, 2013 02:10:43 UTC 2013 年 11 月 15 日 (金) 11 時 10 分 43 秒 (日本時間)
composite number 合成数
2298129091120400515040020728158408660931528156359976225145637961856819548718984535966079991664039194253551422652392880934071624364542913028203933001221661664521883160501814435823854508061655143646804385262042516130598277863<223>
prime factors 素因数
171772241196682121548105320828869<33>
13378931747703075230033701055169224596611692679158501716431519312053236622122300787798386206381069084561824643363081962787082598757348053595344141858016955733287849660077312816909060571133627<191>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2157694341
Step 1 took 13893ms
Step 2 took 8184ms
********** Factor found in step 2: 171772241196682121548105320828869
Found probable prime factor of 33 digits: 171772241196682121548105320828869
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)

59×10231+319

c229

composite cofactor 合成数の残り
2289750456009624713781192998796910777350875150386152831140606201730896107424224783637986571971902045251678503512244343540187060969457057476617378817867815422827647766523072146544029184615981681996351923002289750456009624713781193<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
403e6280Serge BatalovNovember 15, 2013 18:33:21 UTC 2013 年 11 月 16 日 (土) 3 時 33 分 21 秒 (日本時間)
4511e65000600Serge BatalovNovember 20, 2013 01:03:29 UTC 2013 年 11 月 20 日 (水) 10 時 3 分 29 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:59 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 59 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:25 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 25 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:01 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 1 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:04 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 4 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 00:18:50 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 50 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:24:48 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 48 秒 (日本時間)

59×10232+319

c197

name 名前Serge Batalov
date 日付May 26, 2014 21:40:50 UTC 2014 年 5 月 27 日 (火) 6 時 40 分 50 秒 (日本時間)
composite number 合成数
38343924357624645354012441213387212698255248322516632319501209075830550830648738191488986017117189335543171316274440551534441439810457307824060525639066320471259258974428579311251059309374324486957<197>
prime factors 素因数
2905927992086352348705953330047321000907569<43>
composite cofactor 合成数の残り
13195070374092469954041866772085148276122130940516274316445738806246011481759482664889982429344240582531257707911122777839844468044270511213467509235288253<155>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=391277022
Step 1 took 18074ms
Step 2 took 7069ms
********** Factor found in step 2: 2905927992086352348705953330047321000907569
Found probable prime factor of 43 digits: 2905927992086352348705953330047321000907569
Composite cofactor

c155

name 名前yoyo
date 日付July 6, 2022 12:42:03 UTC 2022 年 7 月 6 日 (水) 21 時 42 分 3 秒 (日本時間)
composite number 合成数
13195070374092469954041866772085148276122130940516274316445738806246011481759482664889982429344240582531257707911122777839844468044270511213467509235288253<155>
prime factors 素因数
18210594735317038527631287982067705767515171539<47>
724582066971287718483251085957642460101909101717671725709449486650034511362758690469356603442139860273505327<108>
factorization results 素因数分解の結果
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 13195070374092469954041866772085148276122130940516274316445738806246011481759482664889982429344240582531257707911122777839844468044270511213467509235288253 (155 digits)
[Wed Jul 06 02:05:57 2022]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=0:1642738841781487087
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35        40      45      50      55      60      65      70      75      80
55      246     1286    7557    49831   361851  2844041 2.4e+07 2.2e+08 2.2e+09
Writing checkpoint to checkpnt at p = 43000000
Step 1 took 235500ms
Using 19 small primes for NTT
Estimated memory usage: 213.50MB
Initializing tables of differences for F took 62ms
Computing roots of F took 3172ms
Building F from its roots took 4141ms
Computing 1/F took 1671ms
Initializing table of differences for G took 63ms
Computing roots of G took 2609ms
Building G from its roots took 3750ms
Computing roots of G took 2343ms
Building G from its roots took 3782ms
Computing G * H took 859ms
Reducing  G * H mod F took 891ms
Computing roots of G took 2594ms
Building G from its roots took 3796ms
Computing G * H took 813ms
Reducing  G * H mod F took 906ms
Computing roots of G took 2672ms
Building G from its roots took 3875ms
Computing G * H took 922ms
Reducing  G * H mod F took 890ms
Computing roots of G took 2532ms
Building G from its roots took 3812ms
Computing G * H took 875ms
Reducing  G * H mod F took 922ms
Computing polyeval(F,G) took 7860ms
Computing product of all F(g_i) took 47ms
Step 2 took 56391ms
********** Factor found in step 2: 18210594735317038527631287982067705767515171539
Found prime factor of 47 digits: 18210594735317038527631287982067705767515171539
Prime cofactor 724582066971287718483251085957642460101909101717671725709449486650034511362758690469356603442139860273505327 has 108 digits
Peak memory usage: 299MB
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc]

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
403e62880280Serge BatalovNovember 15, 2013 18:33:22 UTC 2013 年 11 月 16 日 (土) 3 時 33 分 22 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:58:18 UTC 2014 年 1 月 9 日 (木) 13 時 58 分 18 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:00 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 0 秒 (日本時間)
1000Dmitry DomanovMay 28, 2014 12:07:22 UTC 2014 年 5 月 28 日 (水) 21 時 7 分 22 秒 (日本時間)
4511e637081500Dmitry DomanovJune 3, 2014 11:18:54 UTC 2014 年 6 月 3 日 (火) 20 時 18 分 54 秒 (日本時間)
2208Ignacio SantosFebruary 5, 2016 23:59:55 UTC 2016 年 2 月 6 日 (土) 8 時 59 分 55 秒 (日本時間)
5043e639 / 6612CypJanuary 13, 2014 00:30:21 UTC 2014 年 1 月 13 日 (月) 9 時 30 分 21 秒 (日本時間)

59×10233+319

c228

name 名前Bob Backstrom
date 日付January 16, 2021 20:44:20 UTC 2021 年 1 月 17 日 (日) 5 時 44 分 20 秒 (日本時間)
composite number 合成数
102017369269798921517328886482662260484614665439484169748671911085672474895902946138857847078349633547557705044234990681577871180731222116729345965435235751506368589896383032962209705901388385502335860580227418848684189481251879<228>
prime factors 素因数
735635007375394289909556046005161308611196283873284867357931699<63>
138679329078937502565871631516611906121355978644616429115835783764631008813535073595658445844173961607523760670146918852423512996182019988442148074439525865384773821<165>
factorization results 素因数分解の結果
Number: n
N=102017369269798921517328886482662260484614665439484169748671911085672474895902946138857847078349633547557705044234990681577871180731222116729345965435235751506368589896383032962209705901388385502335860
580227418848684189481251879  ( 228 digits)
SNFS difficulty: 235 digits.
Divisors found:

Sun Jan 17 06:59:34 2021  p63 factor: 735635007375394289909556046005161308611196283873284867357931699
Sun Jan 17 06:59:34 2021  p165 factor: 13867932907893750256587163151661190612135597864461642911583578376463100881353507359565844584417396160752376067014691885242351299618201998844214807443952586538477382
1
Sun Jan 17 06:59:34 2021  elapsed time 37:26:55 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 59x10^233+31 = 65(232)9
#
n: 10201736926979892151732888648266226048461466543948416974867191108567247489590294613885784707834963354755770504423499068157787118073122211672934596543523575150636858989638303296220970590138838550233586
0580227418848684189481251879
m: 1000000000000000000000000000000000000000
deg: 6
c6: 59
c0: 310
skew: 1.32
# Murphy_E = 4.9e-13
type: snfs
lss: 1
rlim: 60000000
alim: 60000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
Factor base limits: 60000000/60000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved  special-q in [100000, 237200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 28810144 hash collisions in 135067364 relations (106233274 unique)
Msieve: matrix is 8651283 x 8651509 (3028.5 MB)

Sieving start time: 2021/01/09 15:22:02
Sieving end time  : 2021/01/15 16:53:36

Total sieving time: 145hrs 31min 34secs.

Total relation processing time: 36hrs 3min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 36min 24sec.

Prototype def-par.txt line would be:
snfs,235,6,0,0,0,0,0,0,0,0,60000000,60000000,30,30,60,60,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
403e6580280Serge BatalovNovember 15, 2013 18:33:23 UTC 2013 年 11 月 16 日 (土) 3 時 33 分 23 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:58:19 UTC 2014 年 1 月 9 日 (木) 13 時 58 分 19 秒 (日本時間)
4511e62304 / 4347504CypMarch 9, 2014 20:44:55 UTC 2014 年 3 月 10 日 (月) 5 時 44 分 55 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:04 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 4 秒 (日本時間)
1500Dmitry DomanovJune 6, 2014 12:00:47 UTC 2014 年 6 月 6 日 (金) 21 時 0 分 47 秒 (日本時間)

59×10234+319

c230

composite cofactor 合成数の残り
35164195934899749261402884536872639454347039621704772138990358454277307233155903144692322225619441151526096303408602592733646711879478592454717157684002615262572243052538288743344877917659757200167119331188913384625379132612526917<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
403e6280Serge BatalovNovember 15, 2013 18:33:24 UTC 2013 年 11 月 16 日 (土) 3 時 33 分 24 秒 (日本時間)
4511e65000600Serge BatalovNovember 20, 2013 01:03:30 UTC 2013 年 11 月 20 日 (水) 10 時 3 分 30 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:21 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 21 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:25 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 25 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:10 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 10 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:04 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 4 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 00:18:54 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 54 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:24:51 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 51 秒 (日本時間)

59×10235+319

c226

composite cofactor 合成数の残り
4288723628743435154127079151714353116736469525746252396565413797770344836608132357539797474905671124969851400497141970909500674178962351299558269648978729359607882035259864145666488571464653176978038334230183549756790451537121<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
403e62880280Serge BatalovNovember 15, 2013 18:33:25 UTC 2013 年 11 月 16 日 (土) 3 時 33 分 25 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:58:20 UTC 2014 年 1 月 9 日 (木) 13 時 58 分 20 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:00 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 0 秒 (日本時間)
1000Dmitry DomanovMay 27, 2014 13:33:41 UTC 2014 年 5 月 27 日 (火) 22 時 33 分 41 秒 (日本時間)
4511e61500 / 3702Dmitry DomanovJune 6, 2014 12:01:15 UTC 2014 年 6 月 6 日 (金) 21 時 1 分 15 秒 (日本時間)
5043e639 / 7107CypJanuary 11, 2014 07:30:09 UTC 2014 年 1 月 11 日 (土) 16 時 30 分 9 秒 (日本時間)

59×10236+319

c141

name 名前Erik Branger
date 日付September 3, 2016 15:48:33 UTC 2016 年 9 月 4 日 (日) 0 時 48 分 33 秒 (日本時間)
composite number 合成数
165557681094662302742909866714420373943508381625905065808140634361785097548822062554211699642567241185104552113705303795401799819707852916067<141>
prime factors 素因数
3492716172757755548169138796510216278114870900647<49>
47400840178760466743581559542477848794628888936710662505950395208633349855952376518140197861<92>
factorization results 素因数分解の結果
Number: 65559_236
N = 165557681094662302742909866714420373943508381625905065808140634361785097548822062554211699642567241185104552113705303795401799819707852916067 (141 digits)
Divisors found:
r1=3492716172757755548169138796510216278114870900647 (pp49)
r2=47400840178760466743581559542477848794628888936710662505950395208633349855952376518140197861 (pp92)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 222.44 hours.
Factorization parameters were as follows:
# Murphy_E = 1.921e-11, selected by Erik Branger
# expecting poly E from 1.99e-011 to > 2.29e-011
n: 165557681094662302742909866714420373943508381625905065808140634361785097548822062554211699642567241185104552113705303795401799819707852916067
Y0: -1630554938430517316551960974
Y1: 2478153715969787
c0: 13755788862617064230911808554644325
c1: 46057717800298110149601795940
c2: -87705426705942387477097
c3: -108282815450275000
c4: -70557069924
c5: 14364
skew: 1289317.32
type: gnfs
# selected mechanically
rlim: 18500000
alim: 18500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18500000/18500000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23129412
Relations: 3753846 relations
Pruned matrix : 2321855 x 2322083
Polynomial selection time: 0.00 hours.
Total sieving time: 219.39 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 2.74 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: gnfs,140,5,65,2000,1e-05,0.28,250,20,50000,3600,18500000,18500000,28,28,56,56,2.6,2.6,100000
total time: 222.44 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
403e6280Serge BatalovNovember 15, 2013 18:33:26 UTC 2013 年 11 月 16 日 (土) 3 時 33 分 26 秒 (日本時間)
4511e64504600Serge BatalovNovember 20, 2013 01:03:09 UTC 2013 年 11 月 20 日 (水) 10 時 3 分 9 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:33 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 33 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:25 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 25 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:05 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 5 秒 (日本時間)
1404Ignacio SantosDecember 14, 2015 15:17:34 UTC 2015 年 12 月 15 日 (火) 0 時 17 分 34 秒 (日本時間)

59×10237+319

c191

composite cofactor 合成数の残り
44135318411005626439920922398807532932088481960534770079008448128812104399342110446710011650429625860998225618206918075363229933209327269536202446290783709493773558416364108918872236605737583<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
403e62880280Serge BatalovNovember 15, 2013 18:33:27 UTC 2013 年 11 月 16 日 (土) 3 時 33 分 27 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:58:20 UTC 2014 年 1 月 9 日 (木) 13 時 58 分 20 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:01 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 1 秒 (日本時間)
1000Dmitry DomanovMay 27, 2014 13:34:06 UTC 2014 年 5 月 27 日 (火) 22 時 34 分 6 秒 (日本時間)
4511e61500 / 3838Dmitry DomanovJune 6, 2014 12:01:40 UTC 2014 年 6 月 6 日 (金) 21 時 1 分 40 秒 (日本時間)

59×10238+319

c212

composite cofactor 合成数の残り
38587912210485823716215585728904710974622488233120609866816193308319193729563923560927359322809959847557852562509800546896336830535063690223006694968776415381639280647033850910902681502625988166012577733066473769<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
403e62880280Serge BatalovNovember 15, 2013 18:33:28 UTC 2013 年 11 月 16 日 (土) 3 時 33 分 28 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:58:21 UTC 2014 年 1 月 9 日 (木) 13 時 58 分 21 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:01 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 1 秒 (日本時間)
1000Dmitry DomanovMay 27, 2014 13:34:18 UTC 2014 年 5 月 27 日 (火) 22 時 34 分 18 秒 (日本時間)
4511e61504 / 38384CypJanuary 10, 2014 17:50:02 UTC 2014 年 1 月 11 日 (土) 2 時 50 分 2 秒 (日本時間)
1500Dmitry DomanovJune 6, 2014 12:02:01 UTC 2014 年 6 月 6 日 (金) 21 時 2 分 1 秒 (日本時間)

59×10239+319

c235

composite cofactor 合成数の残り
2571844923853774487559898922135433353690139764514904277239651920405322759999354859239440070128544296541566026887548914092969142655878866975898325816135755052258581134950805837477708861051936882566509435401576148622994996235952386868247<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
403e62880280Serge BatalovNovember 15, 2013 18:33:29 UTC 2013 年 11 月 16 日 (土) 3 時 33 分 29 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:58:22 UTC 2014 年 1 月 9 日 (木) 13 時 58 分 22 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:01 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 1 秒 (日本時間)
1000Dmitry DomanovMay 27, 2014 13:34:31 UTC 2014 年 5 月 27 日 (火) 22 時 34 分 31 秒 (日本時間)
4511e62500 / 38381500Dmitry DomanovJune 6, 2014 12:03:19 UTC 2014 年 6 月 6 日 (金) 21 時 3 分 19 秒 (日本時間)
1000Dmitry DomanovJune 18, 2014 15:17:38 UTC 2014 年 6 月 19 日 (木) 0 時 17 分 38 秒 (日本時間)

59×10241+319

c198

composite cofactor 合成数の残り
986110546299068101274170036884890860410932645871641852139750899795835582958247316127849165410297858310011026248051726017845663875216975994874613794828245568621480261385238790505326477401201178455461<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
403e6580280Serge BatalovNovember 15, 2013 18:33:30 UTC 2013 年 11 月 16 日 (土) 3 時 33 分 30 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:58:23 UTC 2014 年 1 月 9 日 (木) 13 時 58 分 23 秒 (日本時間)
4511e62304 / 4347504CypFebruary 19, 2014 20:57:50 UTC 2014 年 2 月 20 日 (木) 5 時 57 分 50 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:05 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 5 秒 (日本時間)
1500Dmitry DomanovJune 6, 2014 12:03:44 UTC 2014 年 6 月 6 日 (金) 21 時 3 分 44 秒 (日本時間)

59×10242+319

c228

name 名前Serge Batalov
date 日付January 9, 2014 17:30:18 UTC 2014 年 1 月 10 日 (金) 2 時 30 分 18 秒 (日本時間)
composite number 合成数
760291377251112245697066280831158792938320754403663883511526372582818756687847177054345331303753260542842313343849355931112450802605271754710829525088629818990906998822173254928258041953545006833563409837146624551319244461473731<228>
prime factors 素因数
244132352959208818935624237871837803389<39>
composite cofactor 合成数の残り
3114258999413103385045766020753421752961936264144744278165876669718005455150097928585858690295937138721554277509093612576538486422955638511506972743694862233450199524715563105498197028054079<190>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1674366208
Step 1 took 19120ms
Step 2 took 6769ms
********** Factor found in step 2: 244132352959208818935624237871837803389
Found probable prime factor of 39 digits: 244132352959208818935624237871837803389
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
403e6580280Serge BatalovNovember 15, 2013 18:33:30 UTC 2013 年 11 月 16 日 (土) 3 時 33 分 30 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:58:23 UTC 2014 年 1 月 9 日 (木) 13 時 58 分 23 秒 (日本時間)
4511e62304 / 4347504CypMarch 7, 2014 16:44:11 UTC 2014 年 3 月 8 日 (土) 1 時 44 分 11 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:06 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 6 秒 (日本時間)
1500Dmitry DomanovJune 6, 2014 12:04:08 UTC 2014 年 6 月 6 日 (金) 21 時 4 分 8 秒 (日本時間)

59×10244+319

c232

name 名前Serge Batalov
date 日付November 15, 2013 02:50:51 UTC 2013 年 11 月 15 日 (金) 11 時 50 分 51 秒 (日本時間)
composite number 合成数
7221144029945907723317618342497680172493600473308802799934643556768040086294855975931208731638450060517036913482929288114461439332954702115882443624246962999873788141268459226572242884677268723912645269512719591131237029670688595537<232>
prime factors 素因数
598536370728776668156675247<27>
composite cofactor 合成数の残り
12064670391130045168786271177132038649444360120393985536729529728411365164550902221005946455445520453472334208361993309563895419737018984880075933232155500077928213650072298902007429907523224438866561699071<206>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=792279475
Step 1 took 16165ms
Step 2 took 8765ms
********** Factor found in step 2: 598536370728776668156675247
Found probable prime factor of 27 digits: 598536370728776668156675247
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
403e6280Serge BatalovNovember 15, 2013 18:33:31 UTC 2013 年 11 月 16 日 (土) 3 時 33 分 31 秒 (日本時間)
4511e62401 / 4413601CypJanuary 8, 2014 23:56:07 UTC 2014 年 1 月 9 日 (木) 8 時 56 分 7 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:06 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 6 秒 (日本時間)
1500Dmitry DomanovJune 6, 2014 12:04:29 UTC 2014 年 6 月 6 日 (金) 21 時 4 分 29 秒 (日本時間)

59×10245+319

c205

composite cofactor 合成数の残り
1116652167674683179187077829987878868036952602559236943480553728296173949523569094667113122435996636049035941116914802607103698341891345662551731728152687215837109219052105386522140460443834474406822742873<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
403e62880280Serge BatalovNovember 15, 2013 18:33:32 UTC 2013 年 11 月 16 日 (土) 3 時 33 分 32 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:58:25 UTC 2014 年 1 月 9 日 (木) 13 時 58 分 25 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:02 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 2 秒 (日本時間)
1000Dmitry DomanovMay 27, 2014 13:34:57 UTC 2014 年 5 月 27 日 (火) 22 時 34 分 57 秒 (日本時間)
4511e61504 / 38384CypJanuary 10, 2014 17:49:40 UTC 2014 年 1 月 11 日 (土) 2 時 49 分 40 秒 (日本時間)
1500Dmitry DomanovJune 6, 2014 12:04:49 UTC 2014 年 6 月 6 日 (金) 21 時 4 分 49 秒 (日本時間)

59×10248+319

c176

name 名前Justin Card
date 日付November 17, 2013 22:15:09 UTC 2013 年 11 月 18 日 (月) 7 時 15 分 9 秒 (日本時間)
composite number 合成数
75940991525400722282554127957281011226908614536321476888673222167643829618351066823631074299444519442523363845246723760274571894794365467022164116405191538218369218330715673489<176>
prime factors 素因数
57388590630978451723576739031107939<35>
1323276816705926479039568524430913493461508205616665412943363550361477886482926056008836415567163765619561092177353561673766401259845742787451<142>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2681641955
Step 1 took 9667ms
Step 2 took 4856ms
********** Factor found in step 2: 57388590630978451723576739031107939
Found probable prime factor of 35 digits: 57388590630978451723576739031107939
Probable prime cofactor 1323276816705926479039568524430913493461508205616665412943363550361477886482926056008836415567163765619561092177353561673766401259845742787451 has 142 digits
software ソフトウェア
GMP-ECM 7.0-dev [configured with GMP 5.1.3, --enable-asm-redc, --enable-gpu, --enable-assert] [ECM]
execution environment 実行環境
Athlon II X4 3GHz, 8 GB RAM, Arch linux

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
403e6280 / 2318Serge BatalovNovember 15, 2013 18:33:33 UTC 2013 年 11 月 16 日 (土) 3 時 33 分 33 秒 (日本時間)

59×10249+319

c190

composite cofactor 合成数の残り
3908819801806329891306726496617887720087213447306096866853664250313936603688080225792216568490212592441976831082874649751632714396215014309734849516782911878415666004439695904594380765598041<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
403e62880280Serge BatalovNovember 15, 2013 18:33:34 UTC 2013 年 11 月 16 日 (土) 3 時 33 分 34 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:58:26 UTC 2014 年 1 月 9 日 (木) 13 時 58 分 26 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:02 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 2 秒 (日本時間)
1000Dmitry DomanovMay 27, 2014 13:35:11 UTC 2014 年 5 月 27 日 (火) 22 時 35 分 11 秒 (日本時間)
4511e61500 / 3838Dmitry DomanovJune 6, 2014 12:05:09 UTC 2014 年 6 月 6 日 (金) 21 時 5 分 9 秒 (日本時間)

59×10250+319

c249

name 名前Justin Card
date 日付November 17, 2013 22:06:47 UTC 2013 年 11 月 18 日 (月) 7 時 6 分 47 秒 (日本時間)
composite number 合成数
560303893637226970560303893637226970560303893637226970560303893637226970560303893637226970560303893637226970560303893637226970560303893637226970560303893637226970560303893637226970560303893637226970560303893637226970560303893637226970560303893637227<249>
prime factors 素因数
471948018556406787881724628510999<33>
composite cofactor 合成数の残り
1187215268645650581816912451096734880772643727314042870687358389532148318454459620947589756007822410856815080663532100094666706041773253864236846546574688229332526724482286704271798111084150617047083360917300460365773<217>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1895054215
Step 1 took 14470ms
Step 2 took 6963ms
********** Factor found in step 2: 471948018556406787881724628510999
Found probable prime factor of 33 digits: 471948018556406787881724628510999
Composite cofactor 1187215268645650581816912451096734880772643727314042870687358389532148318454459620947589756007822410856815080663532100094666706041773253864236846546574688229332526724482286704271798111084150617047083360917300460365773 has 217 digits
software ソフトウェア
GMP-ECM 7.0-dev [configured with GMP 5.1.3, --enable-asm-redc, --enable-gpu, --enable-assert] [ECM]
execution environment 実行環境
Athlon 2 X4 3GHz, 8 GB RAM, Arch linux

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2013 01:00:00 UTC 2013 年 11 月 14 日 (木) 10 時 0 分 0 秒 (日本時間)
403e6580280Serge BatalovNovember 15, 2013 18:33:35 UTC 2013 年 11 月 16 日 (土) 3 時 33 分 35 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:58:27 UTC 2014 年 1 月 9 日 (木) 13 時 58 分 27 秒 (日本時間)
4511e62196396CypFebruary 16, 2014 23:54:40 UTC 2014 年 2 月 17 日 (月) 8 時 54 分 40 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:07 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 7 秒 (日本時間)
1500Dmitry DomanovMay 27, 2014 11:22:00 UTC 2014 年 5 月 27 日 (火) 20 時 22 分 0 秒 (日本時間)
5043e6619 / 703839CypJanuary 25, 2014 08:31:42 UTC 2014 年 1 月 25 日 (土) 17 時 31 分 42 秒 (日本時間)
400Dmitry DomanovMay 30, 2014 12:57:54 UTC 2014 年 5 月 30 日 (金) 21 時 57 分 54 秒 (日本時間)
180Dmitry DomanovJune 3, 2014 11:42:34 UTC 2014 年 6 月 3 日 (火) 20 時 42 分 34 秒 (日本時間)

59×10251+319

c249

composite cofactor 合成数の残り
102606911184153319072711778925583902888645414862350219996173979582963774543051425192605345993982713344115754508617241439279316881445540077563868454461661536321107459000713031077720387471522234395923549155666857967687518477939514095407036399366967531<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 21, 2021 15:39:35 UTC 2021 年 1 月 22 日 (金) 0 時 39 分 35 秒 (日本時間)

59×10253+319

c213

composite cofactor 合成数の残り
107598990702515927312968041085105476564360477871424430664747668767100503625809132723994415149101527568298046913922386914601591086294669422054175627396371648332166393099578485589419713133652873911879936892921653439<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 21, 2021 00:17:20 UTC 2021 年 1 月 21 日 (木) 9 時 17 分 20 秒 (日本時間)

59×10254+319

c200

composite cofactor 合成数の残り
80550762066899500582816962324545451258849658702710543477797341360215678515557602974026323172813774005316888368157442414913852113559201535625972135476427699246566928049519816976984473105950976818632433<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 20, 2021 16:15:47 UTC 2021 年 1 月 21 日 (木) 1 時 15 分 47 秒 (日本時間)

59×10255+319

c248

composite cofactor 合成数の残り
19632863254271317161019118651612050026009034908568895639239623585288858771278031890751903526468574184413150345903547893684921523540629452310156442437675652794225583324486981445214868945258705967681749487080050438662537598667645484028113194015813701<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 21, 2021 15:40:02 UTC 2021 年 1 月 22 日 (金) 0 時 40 分 2 秒 (日本時間)

59×10256+319

c193

composite cofactor 合成数の残り
4691897478458383337705940062265646634472905786138066477681724121410988278769656503963087862557371902584125323691004924288403136246884762321449257889419046888695623371461225129068706657842289963<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 20, 2021 16:16:05 UTC 2021 年 1 月 21 日 (木) 1 時 16 分 5 秒 (日本時間)

59×10257+319

c239

composite cofactor 合成数の残り
15822455291173817506341284788113377747820721022711545272661876734725109973169614665754712568463518531662149192897566159511767338202249183375910703159732864634261481742615777080428465841272218204994747619956428688578990784274180577642752199<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 21, 2021 15:40:39 UTC 2021 年 1 月 22 日 (金) 0 時 40 分 39 秒 (日本時間)

59×10258+319

c245

composite cofactor 合成数の残り
11702784996873572786383683004524364581851692509271109185892443694928622642365088544943828842479780986426146731823273889807398807044978648683724007968326220520293002805862884715856113700597049208180322447443511308417309445684570751985016912469879<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 21, 2021 15:41:40 UTC 2021 年 1 月 22 日 (金) 0 時 41 分 40 秒 (日本時間)

59×10259+319

c236

composite cofactor 合成数の残り
36431571093115374033442662607654339111318329895690753156522037856509998595726186550123287896127062332133695128474747032349679493310593388588151057853404989937455435504397998135201186777103489446643382726150497238377489466804712656347479<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 21, 2021 15:40:53 UTC 2021 年 1 月 22 日 (金) 0 時 40 分 53 秒 (日本時間)

59×10261+319

c245

name 名前Dmitry Domanov
date 日付January 21, 2021 17:27:56 UTC 2021 年 1 月 22 日 (金) 2 時 27 分 56 秒 (日本時間)
composite number 合成数
18393200432342995458931593457871586814881165979415933326565200664434789759031973699967479713487212413715965073749214239767178510294386249748911877855496715049380348744381964355346904751809944050023228916485368250109000510306869471487302121302747<245>
prime factors 素因数
4233272577733499861039654132266275313<37>
composite cofactor 合成数の残り
4344912852786517480417674430880692196935439955745294314557122840668950834890755737179962967594636606476217643888596469926589088453101609778217592408205871737423545185293184569285255774349815831099459401268619<208>
factorization results 素因数分解の結果
Run 104 out of 1200:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:594066460
Step 1 took 14509ms
Step 2 took 6271ms
********** Factor found in step 2: 4233272577733499861039654132266275313
Found prime factor of 37 digits: 4233272577733499861039654132266275313
Composite cofactor 4344912852786517480417674430880692196935439955745294314557122840668950834890755737179962967594636606476217643888596469926589088453101609778217592408205871737423545185293184569285255774349815831099459401268619 has 208 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 21, 2021 15:41:15 UTC 2021 年 1 月 22 日 (金) 0 時 41 分 15 秒 (日本時間)

59×10262+319

c262

composite cofactor 合成数の残り
1680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911681<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 18, 2021 09:18:44 UTC 2021 年 5 月 18 日 (火) 18 時 18 分 44 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 21:47:00 UTC 2022 年 3 月 6 日 (日) 6 時 47 分 0 秒 (日本時間)

59×10263+319

c259

composite cofactor 合成数の残り
3159593194343364238438968173257096098223719548081778840257929909512464059627414344231787756737029200531882705190140569765692066047279295721321738161834363414267116292843949834228462151018915252748712198011169965228409134116162711552168900070635651243032159839<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 18, 2021 09:18:34 UTC 2021 年 5 月 18 日 (火) 18 時 18 分 34 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 22:41:33 UTC 2022 年 3 月 6 日 (日) 7 時 41 分 33 秒 (日本時間)

59×10264+319

c221

composite cofactor 合成数の残り
56652103579017648125925093805757417919910351249784014714188633727700098307596840837053578692602655100873650751381972486160394552013065481290657466706934452785319857815844969370307254793258241939100461157774362926317235939<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 22, 2021 15:20:31 UTC 2021 年 1 月 23 日 (土) 0 時 20 分 31 秒 (日本時間)

59×10265+319

c212

composite cofactor 合成数の残り
17689592249750144212546982009496797379922263908240457584929710918330595578302338191738178837712438558026417755154346813808329430378674053369552851914338989305504470932981518012726265873941977944832053504398303237<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 21, 2021 00:17:55 UTC 2021 年 1 月 21 日 (木) 9 時 17 分 55 秒 (日本時間)

59×10266+319

c255

composite cofactor 合成数の残り
720753712473289411076294959526803096215329803205797878033921617823539819892213488981174773109145462698216903325564352872223738240817803598085238519926489906835453381231538396221137491529520473849758549164097743312018756374863487744895389384688904309807659<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 18, 2021 09:18:05 UTC 2021 年 5 月 18 日 (火) 18 時 18 分 5 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 4, 2022 15:13:02 UTC 2022 年 3 月 5 日 (土) 0 時 13 分 2 秒 (日本時間)

59×10268+319

c237

composite cofactor 合成数の残り
311700340213693892388359893281271529030050109723251011900955892635332869375502452921368365857182572317955366267747701776454474573116872454675763550076984085281591540937964345276160049905641983949687401471824341503463282157080323120640451<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 22, 2021 15:27:35 UTC 2021 年 1 月 23 日 (土) 0 時 27 分 35 秒 (日本時間)

59×10269+319

c195

composite cofactor 合成数の残り
454358727451671631376773250628319003204775159935655733271951153395076714538573757540501944960071316761313735974767230429675173976758487520574946883327290665988552363432980969788730280689285157257<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e624001200Dmitry DomanovJanuary 20, 2021 16:16:27 UTC 2021 年 1 月 21 日 (木) 1 時 16 分 27 秒 (日本時間)
1200Dmitry DomanovJanuary 20, 2021 21:54:52 UTC 2021 年 1 月 21 日 (木) 6 時 54 分 52 秒 (日本時間)

59×10270+319

c174

name 名前ivelive
date 日付February 8, 2021 15:47:10 UTC 2021 年 2 月 9 日 (火) 0 時 47 分 10 秒 (日本時間)
composite number 合成数
782140220409704346984404017959375954418899927133518134593401432599967822476420567054231829122475896973091705578771347052297495623437602559776606206646283045786513989847045913<174>
prime factors 素因数
13253284189191659207363884093158090288047179<44>
59014822986106090265183779146086488176462699147594504366912449990227418382596190387674305205257789639857527781474199839482227141547<131>
factorization results 素因数分解の結果
prp44 = 13253284189191659207363884093158090288047179 (curve 93 stg2 B1=110000000 sigma=2752372774 thread=1)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 20, 2021 16:16:40 UTC 2021 年 1 月 21 日 (木) 1 時 16 分 40 秒 (日本時間)

59×10271+319

c259

composite cofactor 合成数の残り
1273625563521229008636058354280865858168915586357351493773410190062342225995863221772600635590914027177102197584156243987121044392522589245993372441364317958874473909607796762494959587495710649849082808371466676495703991719809152731174562406226550498832500229<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 18, 2021 09:17:39 UTC 2021 年 5 月 18 日 (火) 18 時 17 分 39 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 2, 2022 18:22:54 UTC 2022 年 3 月 3 日 (木) 3 時 22 分 54 秒 (日本時間)

59×10272+319

c223

composite cofactor 合成数の残り
6722845023200629820183264264795374382767908734674706899048291247679645538422490361047358721887802349298600674289512848713494005679005407726035061914779444759578238181320684858178183749578879056236689477074086138850363091753<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 22, 2021 15:21:28 UTC 2021 年 1 月 23 日 (土) 0 時 21 分 28 秒 (日本時間)

59×10273+319

c212

composite cofactor 合成数の残り
28092879377921975378894756449662023964553213525997674319737741607104383866260575105044613870017363084806177452861713518834656951033969766417430669800069082256083749795819585444824653917134384055373069919102302329<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 18, 2021 09:17:18 UTC 2021 年 5 月 18 日 (火) 18 時 17 分 18 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 16:59:17 UTC 2022 年 2 月 23 日 (水) 1 時 59 分 17 秒 (日本時間)

59×10274+319

c233

name 名前Dmitry Domanov
date 日付January 22, 2021 16:44:10 UTC 2021 年 1 月 23 日 (土) 1 時 44 分 10 秒 (日本時間)
composite number 合成数
32971940255936306769086193653596438185194092105939150773626540100997149900293918240237164631903470268862809350586491666146504467377417359481317979130376196793042952029500508438180539712421925998412788546125909019741378130306536824311<233>
prime factors 素因数
1921239230076999031816301821369803686341<40>
17161808763719062779112261887111527050987306624795229663865071450629564389893930718274050140769765291947208748414562128563150399376024375074422875844417633536189495410445773173563038959686060171<194>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:631467522
Step 1 took 17646ms
********** Factor found in step 1: 1921239230076999031816301821369803686341
Found prime factor of 40 digits: 1921239230076999031816301821369803686341
Prime cofactor 17161808763719062779112261887111527050987306624795229663865071450629564389893930718274050140769765291947208748414562128563150399376024375074422875844417633536189495410445773173563038959686060171 has 194 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 22, 2021 15:22:18 UTC 2021 年 1 月 23 日 (土) 0 時 22 分 18 秒 (日本時間)

59×10275+319

c262

composite cofactor 合成数の残り
7269464181688877791917533012762724042117319908977799081992491668063015512158764217824718293212949326314353686098557658146975936543731699477961914097741072134836278689669263300079229662188831070094451101321065971493539364663355070519217156755093309037190764381453<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 18, 2021 09:17:05 UTC 2021 年 5 月 18 日 (火) 18 時 17 分 5 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 6, 2022 00:59:14 UTC 2022 年 3 月 6 日 (日) 9 時 59 分 14 秒 (日本時間)

59×10277+319

c254

composite cofactor 合成数の残り
89092522157646254384070517924339396428618589506848160515958740495014195974407719744633208863554799075485290167493472490064793147598282227140820110746311848202773456401688467433609577823012088708541589027133701481998754646702895149329869380127304291415881<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 18, 2021 09:16:53 UTC 2021 年 5 月 18 日 (火) 18 時 16 分 53 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 10:36:59 UTC 2022 年 3 月 5 日 (土) 19 時 36 分 59 秒 (日本時間)

59×10278+319

c279

composite cofactor 合成数の残り
655555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e635501200Dmitry DomanovFebruary 26, 2021 22:47:22 UTC 2021 年 2 月 27 日 (土) 7 時 47 分 22 秒 (日本時間)
2350Ignacio SantosApril 7, 2021 16:25:56 UTC 2021 年 4 月 8 日 (木) 1 時 25 分 56 秒 (日本時間)
4511e640001000Dmitry DomanovApril 9, 2021 20:51:02 UTC 2021 年 4 月 10 日 (土) 5 時 51 分 2 秒 (日本時間)
1000Dmitry DomanovMay 26, 2021 13:42:38 UTC 2021 年 5 月 26 日 (水) 22 時 42 分 38 秒 (日本時間)
1000Ignacio SantosJune 29, 2021 22:23:35 UTC 2021 年 6 月 30 日 (水) 7 時 23 分 35 秒 (日本時間)
1000Ignacio SantosJuly 3, 2021 20:45:10 UTC 2021 年 7 月 4 日 (日) 5 時 45 分 10 秒 (日本時間)
5043e672001800NFSathomeNovember 24, 2021 23:15:54 UTC 2021 年 11 月 25 日 (木) 8 時 15 分 54 秒 (日本時間)
1800Dmitry DomanovJanuary 27, 2022 17:02:51 UTC 2022 年 1 月 28 日 (金) 2 時 2 分 51 秒 (日本時間)
1800Dmitry DomanovApril 6, 2022 23:58:54 UTC 2022 年 4 月 7 日 (木) 8 時 58 分 54 秒 (日本時間)
1800Dmitry DomanovApril 21, 2022 17:45:13 UTC 2022 年 4 月 22 日 (金) 2 時 45 分 13 秒 (日本時間)

59×10279+319

c246

composite cofactor 合成数の残り
146652715011218334332633819141891949434322037389312108607016831365859666219861813841739668894913766729562613567829282764297854954970195853096669344965845725330460703236926641286017506080032332537929298941102575108476002340146611599786542462423583<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 18, 2021 09:16:37 UTC 2021 年 5 月 18 日 (火) 18 時 16 分 37 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 12:39:49 UTC 2022 年 2 月 22 日 (火) 21 時 39 分 49 秒 (日本時間)

59×10280+319

c256

name 名前Eric Jeancolas
date 日付May 17, 2021 03:08:19 UTC 2021 年 5 月 17 日 (月) 12 時 8 分 19 秒 (日本時間)
composite number 合成数
1788252706981905430718162889165063086672810178378810408797069339431900489171237007036137149888144592695142804297942064679364858027395616707280015776676702396854279544003222633754738056593123941053471784953599278833064328105743498795537649255639663661631461<256>
prime factors 素因数
6214338555156600257453589783595679<34>
287762356542037766656282227380528952443347319644367704345760233842816976598764165609743960403178136315962627730216486092864789666870842730518793469021528826110196189237626874482840460694338002249093729107505295273211601659<222>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1788252706981905430718162889165063086672810178378810408797069339431900489171237007036137149888144592695142804297942064679364858027395616707280015776676702396854279544003222633754738056593123941053471784953599278833064328105743498795537649255639663661631461 (256 digits)
Run 799 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1226223906
Step 1 took 5248ms
Step 2 took 2535ms
********** Factor found in step 2: 6214338555156600257453589783595679
Found prime factor of 34 digits: 6214338555156600257453589783595679
Prime cofactor 287762356542037766656282227380528952443347319644367704345760233842816976598764165609743960403178136315962627730216486092864789666870842730518793469021528826110196189237626874482840460694338002249093729107505295273211601659 has 222 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6799 / 902Eric JeancolasMay 17, 2021 03:06:54 UTC 2021 年 5 月 17 日 (月) 12 時 6 分 54 秒 (日本時間)

59×10281+319

c246

composite cofactor 合成数の残り
252240001091923394611818176188855156690334021248558966532125989310746620169922983083829385219136889820749636136821671258048491444868474574465571895996114900933413409793643520558219386991022406183355915518957481026014564825381103080923719916394191<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:55:15 UTC 2021 年 5 月 19 日 (水) 18 時 55 分 15 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 23, 2022 00:02:53 UTC 2022 年 2 月 23 日 (水) 9 時 2 分 53 秒 (日本時間)

59×10282+319

c267

composite cofactor 合成数の残り
183067261107331725060924329790177462762601839909125012079384524482230362898155162320242449260476085701494839052132643943343245232305176388539450598269443246020334721610214364585800249461140618743695043374711182830137492013155599735601351912357722115676148706753600849<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:54:47 UTC 2021 年 5 月 19 日 (水) 18 時 54 分 47 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 6, 2022 13:01:13 UTC 2022 年 3 月 6 日 (日) 22 時 1 分 13 秒 (日本時間)

59×10283+319

c252

composite cofactor 合成数の残り
637314111428252953094655235065595696355315727993395029401250975572966934748282259199839945290150640162996411956306496377538145806495285914110019038772991498075510090970669518187366152691154869866094488839796980881501393076359290086673340091846102014853<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:54:36 UTC 2021 年 5 月 19 日 (水) 18 時 54 分 36 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 07:35:27 UTC 2022 年 3 月 5 日 (土) 16 時 35 分 27 秒 (日本時間)

59×10284+319

c278

composite cofactor 合成数の残り
13552788632010941115726800415094810221231104492480443113523847455866268395691011681008399878272068423224305765925271471716911666514036998759214635745570521991925197997225863615333947568684964259033750810448146133683085325685719822405819782445537355102226720645448296741918112071<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:54:25 UTC 2021 年 5 月 19 日 (水) 18 時 54 分 25 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 9, 2022 05:41:19 UTC 2022 年 3 月 9 日 (水) 14 時 41 分 19 秒 (日本時間)

59×10285+319

c281

composite cofactor 合成数の残り
27836635749128689710682993089437223432408166230952546084965904839281173139628093110243929136417915658768139224697795574352361797001097895786241058660284056354561363032664640725752992792198570517983174405015501231653180052549906605728024745353758818669795693247822962771094626161059<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:54:10 UTC 2021 年 5 月 19 日 (水) 18 時 54 分 10 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 9, 2022 11:57:05 UTC 2022 年 3 月 9 日 (水) 20 時 57 分 5 秒 (日本時間)

59×10286+319

c247

name 名前Marlon Trifunovic
date 日付February 21, 2022 17:58:23 UTC 2022 年 2 月 22 日 (火) 2 時 58 分 23 秒 (日本時間)
composite number 合成数
1441799780220982947807849645865159797887852386802002881562447839914577315557631250667757341539498382320172562451599381455447079985005074551500101182791495130731799450769743311862156849761920308422729001534672261355337165648075858793114245264671323<247>
prime factors 素因数
375862778232377469859139497947689257<36>
composite cofactor 合成数の残り
3835973828005892765497418686135504237268839027592970808702374070463515347443278918298537707334225610295613918480003283309804375939699622613871859982004767879879924634080484005808779823189641947404596572306387939<211>
factorization results 素因数分解の結果
Run 185 out of 587:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:546963744
Step 1 took 24754ms
Step 2 took 9395ms
********** Factor found in step 2: 375862778232377469859139497947689257
Found prime factor of 36 digits: 375862778232377469859139497947689257
Composite cofactor 3835973828005892765497418686135504237268839027592970808702374070463515347443278918298537707334225610295613918480003283309804375939699622613871859982004767879879924634080484005808779823189641947404596572306387939 has 211 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:54:01 UTC 2021 年 5 月 19 日 (水) 18 時 54 分 1 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 14:26:07 UTC 2022 年 2 月 22 日 (火) 23 時 26 分 7 秒 (日本時間)

59×10287+319

c280

composite cofactor 合成数の残り
1412245402227026216715161222965578653683637128730428846199242846744795160534115356900289547719991518015816044081165426593487106755878419365340109349965216264093153221423929444614175995883795826671840588071355799602715405427004349986080394683851312979857754444649667637750780964347<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:53:52 UTC 2021 年 5 月 19 日 (水) 18 時 53 分 52 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 9, 2022 06:23:48 UTC 2022 年 3 月 9 日 (水) 15 時 23 分 48 秒 (日本時間)

59×10288+319

c257

composite cofactor 合成数の残り
95326480079228805845642530989533038055715760971285680105668845219743325983755055646996677315317221047279469530494668533614322690640837792960408854300950326751530304233553057628004328074432255052971308685391956978004154499874345176375175900091653090211246627<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:53:40 UTC 2021 年 5 月 19 日 (水) 18 時 53 分 40 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 1, 2022 18:20:28 UTC 2022 年 3 月 2 日 (水) 3 時 20 分 28 秒 (日本時間)

59×10289+319

c278

composite cofactor 合成数の残り
88728851149651437966144209944763568179258897017564553107111689765194588847860784803248719930209429822790377915431016072336863139510877114276620860691429886007238150247834724418074925631255841659595451436872779873740364312164608718546295360189734851806087318241606843470839737887<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:53:28 UTC 2021 年 5 月 19 日 (水) 18 時 53 分 28 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 8, 2022 19:38:03 UTC 2022 年 3 月 9 日 (水) 4 時 38 分 3 秒 (日本時間)

59×10291+319

c287

composite cofactor 合成数の残り
58265907827284048275773529304295184964630618833319013745816458440113016110029735364147110554128534592666988610496356405645275178031975145146301744323271107318889313538725596213308525882407547311423376874754962230853477042738537170192741647977136062745469825666428665246558608096591049369<287>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:53:13 UTC 2021 年 5 月 19 日 (水) 18 時 53 分 13 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 9, 2022 15:21:45 UTC 2022 年 3 月 10 日 (木) 0 時 21 分 45 秒 (日本時間)

59×10292+319

c279

composite cofactor 合成数の残り
184057176775167289474208113609787106040300317865317512828212566257176354318929646505576470268242509238983251712859180899856929618614299789708737546902970359696156978592672622908808656153222249091717273996655135086859215435867530813418203841889179414678580741780099317455225766303<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:53:02 UTC 2021 年 5 月 19 日 (水) 18 時 53 分 2 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 1, 2022 18:32:31 UTC 2022 年 3 月 2 日 (水) 3 時 32 分 31 秒 (日本時間)

59×10293+319

c294

composite cofactor 合成数の残り
655555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559<294>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 20, 2021 16:47:08 UTC 2021 年 1 月 21 日 (木) 1 時 47 分 8 秒 (日本時間)
4511e650001000Dmitry DomanovMarch 12, 2021 23:55:13 UTC 2021 年 3 月 13 日 (土) 8 時 55 分 13 秒 (日本時間)
1000Dmitry DomanovMay 18, 2021 06:03:02 UTC 2021 年 5 月 18 日 (火) 15 時 3 分 2 秒 (日本時間)
1000Ignacio SantosJuly 6, 2021 20:05:44 UTC 2021 年 7 月 7 日 (水) 5 時 5 分 44 秒 (日本時間)
1000Ignacio SantosJuly 16, 2021 14:08:29 UTC 2021 年 7 月 16 日 (金) 23 時 8 分 29 秒 (日本時間)
1000Ignacio SantosJuly 21, 2021 10:10:17 UTC 2021 年 7 月 21 日 (水) 19 時 10 分 17 秒 (日本時間)
5043e672001800Dmitry DomanovNovember 18, 2021 21:07:19 UTC 2021 年 11 月 19 日 (金) 6 時 7 分 19 秒 (日本時間)
1800Dmitry DomanovJanuary 7, 2022 01:02:20 UTC 2022 年 1 月 7 日 (金) 10 時 2 分 20 秒 (日本時間)
1800Dmitry DomanovMarch 19, 2022 00:47:52 UTC 2022 年 3 月 19 日 (土) 9 時 47 分 52 秒 (日本時間)
1800Dmitry DomanovMarch 25, 2022 05:38:00 UTC 2022 年 3 月 25 日 (金) 14 時 38 分 0 秒 (日本時間)

59×10294+319

c218

name 名前Dmitry Domanov
date 日付January 22, 2021 17:43:56 UTC 2021 年 1 月 23 日 (土) 2 時 43 分 56 秒 (日本時間)
composite number 合成数
57108712897854593656810912451887596197236114698543792516099501644109372821281928589154660995232203628532759623640493379917889813089591443816914906771409893598606537961080073582078770380288945269138605190919948440949613<218>
prime factors 素因数
1435610857080899561717129217486173203<37>
composite cofactor 合成数の残り
39780078714350655488074957699264203089350238279531292606896549132947448095718184204985450577913322720460473398252484567196774350897112214657879863408692373768713483031394852353657471<182>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1100955674
Step 1 took 19257ms
Step 2 took 7053ms
********** Factor found in step 2: 1435610857080899561717129217486173203
Found prime factor of 37 digits: 1435610857080899561717129217486173203
Composite cofactor 39780078714350655488074957699264203089350238279531292606896549132947448095718184204985450577913322720460473398252484567196774350897112214657879863408692373768713483031394852353657471 ha
s 182 digits

c182

name 名前Ignacio Santos
date 日付March 28, 2021 18:46:31 UTC 2021 年 3 月 29 日 (月) 3 時 46 分 31 秒 (日本時間)
composite number 合成数
39780078714350655488074957699264203089350238279531292606896549132947448095718184204985450577913322720460473398252484567196774350897112214657879863408692373768713483031394852353657471<182>
prime factors 素因数
1120349049856847025987933634876962697388927<43>
35506861651226971033074994001840423444663859262785276256061845123574037420943561048205310081644751624473838832408765044801844865122203785473<140>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1100351418
Step 1 took 30797ms
Step 2 took 8640ms
********** Factor found in step 2: 1120349049856847025987933634876962697388927
Found prime factor of 43 digits: 1120349049856847025987933634876962697388927
Prime cofactor 35506861651226971033074994001840423444663859262785276256061845123574037420943561048205310081644751624473838832408765044801844865122203785473 has 140 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e635501200Dmitry DomanovJanuary 22, 2021 15:22:43 UTC 2021 年 1 月 23 日 (土) 0 時 22 分 43 秒 (日本時間)
2350Ignacio SantosMarch 3, 2021 18:48:40 UTC 2021 年 3 月 4 日 (木) 3 時 48 分 40 秒 (日本時間)

59×10295+319

c252

composite cofactor 合成数の残り
147459265767672369419615180236817707645835043595386007643492614174216781933827566517686626432454027583252495215228947677554812733156300443332064679740534522038299567522639994031386925335002004365723471536662283653103890635644295111364130221653221893909<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:52:44 UTC 2021 年 5 月 19 日 (水) 18 時 52 分 44 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 07:03:17 UTC 2022 年 3 月 5 日 (土) 16 時 3 分 17 秒 (日本時間)

59×10296+319

c253

name 名前Eric Jeancolas
date 日付May 18, 2021 07:49:49 UTC 2021 年 5 月 18 日 (火) 16 時 49 分 49 秒 (日本時間)
composite number 合成数
2154583084605869951881891516703205250668957812638720855135283740550399925107430180802576036563700026971620404981153330540849647176318664101856211382081091648795901809068994650623455078761061314346636356417801991579221776594260774160695896835844672188287<253>
prime factors 素因数
974284661621090144360361017843387<33>
composite cofactor 合成数の残り
2211451303175509341973214047860602967393573206680016213226284667814375776108678505305702411157046760712545150515614207699374354814534240353889708004051680051263546282053914631123240754921928098219491043961290220735602701<220>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2154583084605869951881891516703205250668957812638720855135283740550399925107430180802576036563700026971620404981153330540849647176318664101856211382081091648795901809068994650623455078761061314346636356417801991579221776594260774160695896835844672188287 (253 digits)
Run 319 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2964303868
Step 1 took 4689ms
Step 2 took 2259ms
********** Factor found in step 2: 974284661621090144360361017843387
Found prime factor of 33 digits: 974284661621090144360361017843387
Composite cofactor 2211451303175509341973214047860602967393573206680016213226284667814375776108678505305702411157046760712545150515614207699374354814534240353889708004051680051263546282053914631123240754921928098219491043961290220735602701 has 220 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200319Eric JeancolasMay 18, 2021 07:47:16 UTC 2021 年 5 月 18 日 (火) 16 時 47 分 16 秒 (日本時間)
881Eric JeancolasMay 19, 2021 09:51:42 UTC 2021 年 5 月 19 日 (水) 18 時 51 分 42 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 21, 2022 08:54:31 UTC 2022 年 2 月 21 日 (月) 17 時 54 分 31 秒 (日本時間)

59×10298+319

c293

composite cofactor 合成数の残り
45199163217932208762830720936612463676918219928249775785337376130352548110487286049952429795931906771133424175990526255389521409043310680891686027613317941103038846995393285963078105916041864843929970714772672340770434292712385696870356312664522081285102608612248559544803057669765567262138829<293>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 20, 2021 16:47:36 UTC 2021 年 1 月 21 日 (木) 1 時 47 分 36 秒 (日本時間)

59×10299+319

c279

composite cofactor 合成数の残り
380929912787490834108010370974364172984417789001736380553873097713348716772311607910735983409546898135042496870164578715146329500635520980839840988677547985474302493226287448170237469001247575773412922723427250935429640157886134469453630963077223468677415142149248268420090038003<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 09:52:02 UTC 2021 年 5 月 19 日 (水) 18 時 52 分 2 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 9, 2022 01:45:13 UTC 2022 年 3 月 9 日 (水) 10 時 45 分 13 秒 (日本時間)