Table of contents 目次

53×10107-719

c101

name 名前Ignacio Santos
date 日付April 16, 2009 17:16:35 UTC 2009 年 4 月 17 日 (金) 2 時 16 分 35 秒 (日本時間)
composite number 合成数
48956281181860419416589475081239022881768631931593997948842662890271506639806479700042463569853043497<101>
prime factors 素因数
1384979565662153197387040503504412975669<40>
35348016964029802824250185131245245092377627875980924329954213<62>
factorization results 素因数分解の結果
Number: 58881_107
N=48956281181860419416589475081239022881768631931593997948842662890271506639806479700042463569853043497
  ( 101 digits)
SNFS difficulty: 109 digits.
Divisors found:
 r1=1384979565662153197387040503504412975669 (pp40)
 r2=35348016964029802824250185131245245092377627875980924329954213 (pp62)
Version: Msieve-1.39
Total time: 0.76 hours.
Scaled time: 0.84 units (timescale=1.095).
Factorization parameters were as follows:
n: 48956281181860419416589475081239022881768631931593997948842662890271506639806479700042463569853043497
m: 2000000000000000000000
deg: 5
c5: 1325
c0: -568
skew: 0.84
type: snfs
lss: 1
rlim: 470000
alim: 470000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2Factor base limits: 470000/470000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [235000, 385001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 52946 x 53184
Total sieving time: 0.72 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,109,5,0,0,0,0,0,0,0,0,470000,470000,25,25,44,44,2.2,2.2,50000
total time: 0.76 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10111-719

c101

name 名前Ignacio Santos
date 日付April 16, 2009 17:52:05 UTC 2009 年 4 月 17 日 (金) 2 時 52 分 5 秒 (日本時間)
composite number 合成数
10283761795583145401413388163687678748300979703369701831666106090610374480536842407958300829821497869<101>
prime factors 素因数
14493900658606329765271121197487209608426062754421<50>
709523408350170592136127179652066112526467686866489<51>
factorization results 素因数分解の結果
Number: 58881_111
N=10283761795583145401413388163687678748300979703369701831666106090610374480536842407958300829821497869
  ( 101 digits)
SNFS difficulty: 112 digits.
Divisors found:
 r1=14493900658606329765271121197487209608426062754421 (pp50)
 r2=709523408350170592136127179652066112526467686866489 (pp51)
Version: Msieve-1.39
Total time: 0.96 hours.
Scaled time: 1.15 units (timescale=1.194).
Factorization parameters were as follows:
n: 10283761795583145401413388163687678748300979703369701831666106090610374480536842407958300829821497869
m: 10000000000000000000000
deg: 5
c5: 530
c0: -71
skew: 0.67
type: snfs
lss: 1
rlim: 530000
alim: 530000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 530000/530000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [265000, 465001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 67516 x 67760
Total sieving time: 0.93 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,112,5,0,0,0,0,0,0,0,0,530000,530000,25,25,45,45,2.2,2.2,50000
total time: 0.96 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10115-719

c109

name 名前Ignacio Santos
date 日付April 16, 2009 18:24:48 UTC 2009 年 4 月 17 日 (金) 3 時 24 分 48 秒 (日本時間)
composite number 合成数
5564526517220912931129146686473021353849511621980841461190488031968603807486322892528236218644273668075720271<109>
prime factors 素因数
258714152872988458408233821774037897987784234433911<51>
21508396256747219765998592929869798919896339768469661174761<59>
factorization results 素因数分解の結果
Number: 58881_115
N=5564526517220912931129146686473021353849511621980841461190488031968603807486322892528236218644273668075720271
  ( 109 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=258714152872988458408233821774037897987784234433911 (pp51)
 r2=21508396256747219765998592929869798919896339768469661174761 (pp59)
Version: Msieve-1.39
Total time: 1.34 hours.
Scaled time: 1.60 units (timescale=1.188).
Factorization parameters were as follows:
n: 5564526517220912931129146686473021353849511621980841461190488031968603807486322892528236218644273668075720271
m: 100000000000000000000000
deg: 5
c5: 53
c0: -71
skew: 1.06
type: snfs
lss: 1
rlim: 620000
alim: 620000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 620000/620000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [310000, 510001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 59467 x 59698
Total sieving time: 1.30 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,620000,620000,25,25,45,45,2.2,2.2,50000
total time: 1.34 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10119-719

c114

name 名前Ignacio Santos
date 日付April 16, 2009 19:40:46 UTC 2009 年 4 月 17 日 (金) 4 時 40 分 46 秒 (日本時間)
composite number 合成数
111806781342874122419607601654461901702135891354354991213991070266617193220703400932346201808666658354992732875647<114>
prime factors 素因数
247302525192062034320407341931514849<36>
452105295957014023819909058843366067525219824276276508453661905503232282583903<78>
factorization results 素因数分解の結果
Number: 58881_119
N=111806781342874122419607601654461901702135891354354991213991070266617193220703400932346201808666658354992732875647
  ( 114 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=247302525192062034320407341931514849 (pp36)
 r2=452105295957014023819909058843366067525219824276276508453661905503232282583903 (pp78)
Version: Msieve-1.39
Total time: 1.79 hours.
Scaled time: 2.10 units (timescale=1.175).
Factorization parameters were as follows:
n: 111806781342874122419607601654461901702135891354354991213991070266617193220703400932346201808666658354992732875647
m: 1000000000000000000000000
deg: 5
c5: 53
c0: -710
skew: 1.68
type: snfs
lss: 1
rlim: 750000
alim: 750000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 750000/750000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [375000, 725001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 91225 x 91452
Total sieving time: 1.74 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,750000,750000,25,25,46,46,2.2,2.2,50000
total time: 1.79 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 KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10120-719

c108

name 名前Ignacio Santos
date 日付April 16, 2009 18:57:39 UTC 2009 年 4 月 17 日 (金) 3 時 57 分 39 秒 (日本時間)
composite number 合成数
110055188002782773317772931442183797479669644135257477753433827406525740778348919818614135594749472682893701<108>
prime factors 素因数
26786575570913598534091002158361449653541557924127<50>
4108594908349800945919523446359933990845020074836239443163<58>
factorization results 素因数分解の結果
Number: 58881_120
N=110055188002782773317772931442183797479669644135257477753433827406525740778348919818614135594749472682893701
  ( 108 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=26786575570913598534091002158361449653541557924127 (pp50)
 r2=4108594908349800945919523446359933990845020074836239443163 (pp58)
Version: Msieve-1.39
Total time: 1.36 hours.
Scaled time: 1.63 units (timescale=1.196).
Factorization parameters were as follows:
n: 110055188002782773317772931442183797479669644135257477753433827406525740778348919818614135594749472682893701
m: 1000000000000000000000000
deg: 5
c5: 53
c0: -71
skew: 1.06
type: snfs
lss: 1
rlim: 750000
alim: 750000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 750000/750000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [375000, 625001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 80948 x 81174
Total sieving time: 1.32 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,750000,750000,25,25,46,46,2.2,2.2,50000
total time: 1.36 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 KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10121-719

c91

name 名前Max Dettweiler
date 日付April 16, 2009 23:38:18 UTC 2009 年 4 月 17 日 (金) 8 時 38 分 18 秒 (日本時間)
composite number 合成数
1265959309577822454446640479059957214320018167680776045410923986160203316835382572933874577<91>
prime factors 素因数
1133539780530774666049337268862213<34>
1116819481169900334059112170711297777323250963240946700829<58>
factorization results 素因数分解の結果
04/16/09 16:35:26 v1.10 @ Core2Duo, starting SIQS on c91: 1265959309577822454446640479059957214320018167680776045410923986160203316835382572933874577
04/16/09 16:35:26 v1.10 @ Core2Duo, random seeds: 1414385627, 1486820648
04/16/09 16:35:27 v1.10 @ Core2Duo, ==== sieve params ====
04/16/09 16:35:27 v1.10 @ Core2Duo, n = 91 digits, 305 bits
04/16/09 16:35:27 v1.10 @ Core2Duo, factor base: 67412 primes (max prime = 1799261)
04/16/09 16:35:27 v1.10 @ Core2Duo, single large prime cutoff: 215911320 (120 * pmax)
04/16/09 16:35:27 v1.10 @ Core2Duo, double large prime range from 43 to 50 bits
04/16/09 16:35:27 v1.10 @ Core2Duo, double large prime cutoff: 1003912224363295
04/16/09 16:35:27 v1.10 @ Core2Duo, using 10 large prime slices of factor base
04/16/09 16:35:27 v1.10 @ Core2Duo, buckets hold 1024 elements
04/16/09 16:35:27 v1.10 @ Core2Duo, sieve interval: 22 blocks of size 32768
04/16/09 16:35:27 v1.10 @ Core2Duo, polynomial A has ~ 12 factors
04/16/09 16:35:27 v1.10 @ Core2Duo, using multiplier of 29
04/16/09 16:35:27 v1.10 @ Core2Duo, using small prime variation correction of 23 bits
04/16/09 16:35:27 v1.10 @ Core2Duo, using SSE2 for trial division and x128 sieve scanning
04/16/09 16:35:27 v1.10 @ Core2Duo, trial factoring cutoff at 96 bits
04/16/09 16:35:27 v1.10 @ Core2Duo, ==== sieving started ====
04/16/09 17:38:42 v1.10 @ Core2Duo, sieve time = 1146.0730, relation time = 650.4160, poly_time = 1994.7900
04/16/09 17:38:42 v1.10 @ Core2Duo, 67497 relations found: 19809 full + 47688 from 813125 partial, using 414687 polys (202 A polys)
04/16/09 17:38:42 v1.10 @ Core2Duo, on average, sieving found 2.01 rels/poly and 219.41 rels/sec
04/16/09 17:38:42 v1.10 @ Core2Duo, trial division touched 29489564 sieve locations out of 597892399104
04/16/09 17:38:42 v1.10 @ Core2Duo, ==== post processing stage (msieve-1.38) ====
04/16/09 17:38:44 v1.10 @ Core2Duo, begin with 832934 relations
04/16/09 17:38:45 v1.10 @ Core2Duo, reduce to 156443 relations in 10 passes
04/16/09 17:38:47 v1.10 @ Core2Duo, recovered 156443 relations
04/16/09 17:38:47 v1.10 @ Core2Duo, recovered 130277 polynomials
04/16/09 17:38:48 v1.10 @ Core2Duo, attempting to build 67497 cycles
04/16/09 17:38:48 v1.10 @ Core2Duo, found 67497 cycles in 5 passes
04/16/09 17:38:48 v1.10 @ Core2Duo, distribution of cycle lengths:
04/16/09 17:38:48 v1.10 @ Core2Duo,    length 1 : 19809
04/16/09 17:38:48 v1.10 @ Core2Duo,    length 2 : 14671
04/16/09 17:38:48 v1.10 @ Core2Duo,    length 3 : 12452
04/16/09 17:38:48 v1.10 @ Core2Duo,    length 4 : 8410
04/16/09 17:38:48 v1.10 @ Core2Duo,    length 5 : 5369
04/16/09 17:38:48 v1.10 @ Core2Duo,    length 6 : 3216
04/16/09 17:38:48 v1.10 @ Core2Duo,    length 7 : 1758
04/16/09 17:38:48 v1.10 @ Core2Duo,    length 9+: 1812
04/16/09 17:38:48 v1.10 @ Core2Duo, largest cycle: 19 relations
04/16/09 17:38:48 v1.10 @ Core2Duo, matrix is 67412 x 67497 (15.8 MB) with weight 3859261 (57.18/col)
04/16/09 17:38:48 v1.10 @ Core2Duo, sparse part has weight 3859261 (57.18/col)
04/16/09 17:38:48 v1.10 @ Core2Duo, filtering completed in 3 passes
04/16/09 17:38:48 v1.10 @ Core2Duo, matrix is 62004 x 62068 (14.7 MB) with weight 3599837 (58.00/col)
04/16/09 17:38:48 v1.10 @ Core2Duo, sparse part has weight 3599837 (58.00/col)
04/16/09 17:38:49 v1.10 @ Core2Duo, saving the first 48 matrix rows for later
04/16/09 17:38:49 v1.10 @ Core2Duo, matrix is 61956 x 62068 (9.8 MB) with weight 2860904 (46.09/col)
04/16/09 17:38:49 v1.10 @ Core2Duo, sparse part has weight 2204854 (35.52/col)
04/16/09 17:38:49 v1.10 @ Core2Duo, matrix includes 64 packed rows
04/16/09 17:38:49 v1.10 @ Core2Duo, using block size 24827 for processor cache size 2048 kB
04/16/09 17:38:49 v1.10 @ Core2Duo, commencing Lanczos iteration
04/16/09 17:38:49 v1.10 @ Core2Duo, memory use: 9.4 MB
04/16/09 17:39:10 v1.10 @ Core2Duo, lanczos halted after 982 iterations (dim = 61955)
04/16/09 17:39:10 v1.10 @ Core2Duo, recovered 17 nontrivial dependencies
04/16/09 17:39:11 v1.10 @ Core2Duo, prp58 = 1116819481169900334059112170711297777323250963240946700829
04/16/09 17:39:12 v1.10 @ Core2Duo, prp34 = 1133539780530774666049337268862213
04/16/09 17:39:12 v1.10 @ Core2Duo, Lanczos elapsed time = 27.3910 seconds.
04/16/09 17:39:12 v1.10 @ Core2Duo, Sqrt elapsed time = 2.2500 seconds.
04/16/09 17:39:12 v1.10 @ Core2Duo, SIQS elapsed time = 3825.8750 seconds.
software ソフトウェア
YAFU v1.10
execution environment 実行環境
Core 2 Duo E4500 (2.2Ghz), 32-bit Windows, Cygwin

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10123-719

c90

name 名前Max Dettweiler
date 日付April 16, 2009 23:36:46 UTC 2009 年 4 月 17 日 (金) 8 時 36 分 46 秒 (日本時間)
composite number 合成数
831559738536500690691743153345461801909511644511260916432349884974767033138555344560710739<90>
prime factors 素因数
202264546609434854254852740781297727<36>
4111248127642512233539893307565579092523923938001118957<55>
factorization results 素因数分解の結果
04/16/09 16:34:17 v1.10 @ Core2Duo, starting SIQS on c90: 831559738536500690691743153345461801909511644511260916432349884974767033138555344560710739
04/16/09 16:34:17 v1.10 @ Core2Duo, random seeds: 597820055, 1786273408
04/16/09 16:34:18 v1.10 @ Core2Duo, ==== sieve params ====
04/16/09 16:34:18 v1.10 @ Core2Duo, n = 90 digits, 299 bits
04/16/09 16:34:18 v1.10 @ Core2Duo, factor base: 66328 primes (max prime = 1764199)
04/16/09 16:34:18 v1.10 @ Core2Duo, single large prime cutoff: 211703880 (120 * pmax)
04/16/09 16:34:18 v1.10 @ Core2Duo, double large prime range from 43 to 50 bits
04/16/09 16:34:18 v1.10 @ Core2Duo, double large prime cutoff: 968973437116546
04/16/09 16:34:18 v1.10 @ Core2Duo, using 10 large prime slices of factor base
04/16/09 16:34:18 v1.10 @ Core2Duo, buckets hold 1024 elements
04/16/09 16:34:18 v1.10 @ Core2Duo, sieve interval: 22 blocks of size 32768
04/16/09 16:34:18 v1.10 @ Core2Duo, polynomial A has ~ 12 factors
04/16/09 16:34:18 v1.10 @ Core2Duo, using multiplier of 1
04/16/09 16:34:18 v1.10 @ Core2Duo, using small prime variation correction of 20 bits
04/16/09 16:34:18 v1.10 @ Core2Duo, using SSE2 for trial division and x128 sieve scanning
04/16/09 16:34:18 v1.10 @ Core2Duo, trial factoring cutoff at 97 bits
04/16/09 16:34:18 v1.10 @ Core2Duo, ==== sieving started ====
04/16/09 17:40:00 v1.10 @ Core2Duo, sieve time = 1211.2770, relation time = 637.2920, poly_time = 2089.8140
04/16/09 17:40:00 v1.10 @ Core2Duo, 66408 relations found: 18863 full + 47545 from 811249 partial, using 443534 polys (223 A polys)
04/16/09 17:40:00 v1.10 @ Core2Duo, on average, sieving found 1.87 rels/poly and 210.54 rels/sec
04/16/09 17:40:00 v1.10 @ Core2Duo, trial division touched 26209823 sieve locations out of 639483772928
04/16/09 17:40:00 v1.10 @ Core2Duo, ==== post processing stage (msieve-1.38) ====
04/16/09 17:40:00 v1.10 @ Core2Duo, begin with 830112 relations
04/16/09 17:40:01 v1.10 @ Core2Duo, reduce to 156592 relations in 9 passes
04/16/09 17:40:03 v1.10 @ Core2Duo, recovered 156592 relations
04/16/09 17:40:03 v1.10 @ Core2Duo, recovered 132068 polynomials
04/16/09 17:40:04 v1.10 @ Core2Duo, attempting to build 66408 cycles
04/16/09 17:40:04 v1.10 @ Core2Duo, found 66408 cycles in 5 passes
04/16/09 17:40:04 v1.10 @ Core2Duo, distribution of cycle lengths:
04/16/09 17:40:04 v1.10 @ Core2Duo,    length 1 : 18863
04/16/09 17:40:04 v1.10 @ Core2Duo,    length 2 : 14095
04/16/09 17:40:04 v1.10 @ Core2Duo,    length 3 : 11947
04/16/09 17:40:04 v1.10 @ Core2Duo,    length 4 : 8470
04/16/09 17:40:04 v1.10 @ Core2Duo,    length 5 : 5531
04/16/09 17:40:04 v1.10 @ Core2Duo,    length 6 : 3328
04/16/09 17:40:04 v1.10 @ Core2Duo,    length 7 : 2009
04/16/09 17:40:04 v1.10 @ Core2Duo,    length 9+: 2165
04/16/09 17:40:04 v1.10 @ Core2Duo, largest cycle: 19 relations
04/16/09 17:40:04 v1.10 @ Core2Duo, matrix is 66328 x 66408 (15.3 MB) with weight 3748888 (56.45/col)
04/16/09 17:40:04 v1.10 @ Core2Duo, sparse part has weight 3748888 (56.45/col)
04/16/09 17:40:04 v1.10 @ Core2Duo, filtering completed in 3 passes
04/16/09 17:40:04 v1.10 @ Core2Duo, matrix is 61551 x 61614 (14.4 MB) with weight 3515995 (57.06/col)
04/16/09 17:40:04 v1.10 @ Core2Duo, sparse part has weight 3515995 (57.06/col)
04/16/09 17:40:04 v1.10 @ Core2Duo, saving the first 48 matrix rows for later
04/16/09 17:40:04 v1.10 @ Core2Duo, matrix is 61503 x 61614 (9.0 MB) with weight 2658612 (43.15/col)
04/16/09 17:40:04 v1.10 @ Core2Duo, sparse part has weight 1991948 (32.33/col)
04/16/09 17:40:04 v1.10 @ Core2Duo, matrix includes 64 packed rows
04/16/09 17:40:04 v1.10 @ Core2Duo, using block size 24645 for processor cache size 2048 kB
04/16/09 17:40:05 v1.10 @ Core2Duo, commencing Lanczos iteration
04/16/09 17:40:05 v1.10 @ Core2Duo, memory use: 9.0 MB
04/16/09 17:40:23 v1.10 @ Core2Duo, lanczos halted after 974 iterations (dim = 61500)
04/16/09 17:40:23 v1.10 @ Core2Duo, recovered 16 nontrivial dependencies
04/16/09 17:40:24 v1.10 @ Core2Duo, prp36 = 202264546609434854254852740781297727
04/16/09 17:40:28 v1.10 @ Core2Duo, prp55 = 4111248127642512233539893307565579092523923938001118957
04/16/09 17:40:28 v1.10 @ Core2Duo, Lanczos elapsed time = 22.7030 seconds.
04/16/09 17:40:28 v1.10 @ Core2Duo, Sqrt elapsed time = 4.9220 seconds.
04/16/09 17:40:28 v1.10 @ Core2Duo, SIQS elapsed time = 3970.3590 seconds.
software ソフトウェア
YAFU v1.10
execution environment 実行環境
Core 2 Duo E4500 (2.2GHz), 32-bit Windows, Cygwin

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10124-719

c107

name 名前Ignacio Santos
date 日付April 16, 2009 20:39:17 UTC 2009 年 4 月 17 日 (金) 5 時 39 分 17 秒 (日本時間)
composite number 合成数
10124660795638468662831440992732320261481090609423641679678285332988429044938130752945016949841399137829093<107>
prime factors 素因数
645449533165367934958837365343863903897071<42>
15686216002025477513604797878670354464346679288472277430682098283<65>
factorization results 素因数分解の結果
Number: 58881_124
N=10124660795638468662831440992732320261481090609423641679678285332988429044938130752945016949841399137829093
  ( 107 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=645449533165367934958837365343863903897071 (pp42)
 r2=15686216002025477513604797878670354464346679288472277430682098283 (pp65)
Version: Msieve-1.39
Total time: 2.33 hours.
Scaled time: 2.75 units (timescale=1.178).
Factorization parameters were as follows:
n: 10124660795638468662831440992732320261481090609423641679678285332988429044938130752945016949841399137829093
m: 10000000000000000000000000
deg: 5
c5: 53
c0: -710
skew: 1.68
type: snfs
lss: 1
rlim: 910000
alim: 910000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 910000/910000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [455000, 855001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 135894 x 136122
Total sieving time: 2.21 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,910000,910000,26,26,46,46,2.3,2.3,50000
total time: 2.33 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 KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10128-719

c126

name 名前Ignacio Santos
date 日付April 16, 2009 22:00:59 UTC 2009 年 4 月 17 日 (金) 7 時 0 分 59 秒 (日本時間)
composite number 合成数
503754395969964832240281342077749263378005892975952856192377150460982796312137629502898963976808288185533694515730443874156449<126>
prime factors 素因数
24969206764244227895770332415233048905828749459976209<53>
20175026012093362314000182915103646299439827080940433333601709650431305361<74>
factorization results 素因数分解の結果
Number: 58881_128
N=503754395969964832240281342077749263378005892975952856192377150460982796312137629502898963976808288185533694515730443874156449
  ( 126 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=24969206764244227895770332415233048905828749459976209 (pp53)
 r2=20175026012093362314000182915103646299439827080940433333601709650431305361 (pp74)
Version: Msieve-1.39
Total time: 3.22 hours.
Scaled time: 3.79 units (timescale=1.176).
Factorization parameters were as follows:
n: 503754395969964832240281342077749263378005892975952856192377150460982796312137629502898963976808288185533694515730443874156449
m: 50000000000000000000000000
deg: 5
c5: 424
c0: -1775
skew: 1.33
type: snfs
lss: 1
rlim: 1070000
alim: 1070000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1070000/1070000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [535000, 1085001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 182936 x 183184
Total sieving time: 3.05 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:
snfs,131,5,0,0,0,0,0,0,0,0,1070000,1070000,26,26,47,47,2.3,2.3,50000
total time: 3.22 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 KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10129-719

c125

name 名前Ignacio Santos
date 日付April 16, 2009 23:24:08 UTC 2009 年 4 月 17 日 (金) 8 時 24 分 8 秒 (日本時間)
composite number 合成数
16045450403361431036200049831719554590406576576003817000729916621179328494873175851778789549386231247636701939410562810823837<125>
prime factors 素因数
25322624759976549455734598285790216107772481213399224703<56>
633640886576731402778133093433220256786188375338961718270777059934179<69>
factorization results 素因数分解の結果
Number: 58881_129
N=16045450403361431036200049831719554590406576576003817000729916621179328494873175851778789549386231247636701939410562810823837
  ( 125 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=25322624759976549455734598285790216107772481213399224703 (pp56)
 r2=633640886576731402778133093433220256786188375338961718270777059934179 (pp69)
Version: Msieve-1.39
Total time: 3.29 hours.
Scaled time: 3.90 units (timescale=1.183).
Factorization parameters were as follows:
n: 16045450403361431036200049831719554590406576576003817000729916621179328494873175851778789549386231247636701939410562810823837
m: 100000000000000000000000000
deg: 5
c5: 53
c0: -710
skew: 1.68
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, 1100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 178470 x 178705
Total sieving time: 3.15 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,50000
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 KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10130-719

c96

name 名前Sinkiti Sibata
date 日付April 17, 2009 04:26:00 UTC 2009 年 4 月 17 日 (金) 13 時 26 分 0 秒 (日本時間)
composite number 合成数
991624199189614174782401830448492816243117370394794813266981352510574370554134332396855576365267<96>
prime factors 素因数
37956724012464402598129885947865441919<38>
26125126047863880080771368057462882723263924827439187557293<59>
factorization results 素因数分解の結果
Fri Apr 17 08:04:56 2009  Msieve v. 1.41
Fri Apr 17 08:04:56 2009  random seeds: 8d9111a4 23cf54e5
Fri Apr 17 08:04:56 2009  factoring 991624199189614174782401830448492816243117370394794813266981352510574370554134332396855576365267 (96 digits)
Fri Apr 17 08:04:57 2009  searching for 15-digit factors
Fri Apr 17 08:04:59 2009  commencing quadratic sieve (96-digit input)
Fri Apr 17 08:04:59 2009  using multiplier of 67
Fri Apr 17 08:04:59 2009  using 32kb Intel Core sieve core
Fri Apr 17 08:04:59 2009  sieve interval: 36 blocks of size 32768
Fri Apr 17 08:04:59 2009  processing polynomials in batches of 6
Fri Apr 17 08:04:59 2009  using a sieve bound of 2299963 (84681 primes)
Fri Apr 17 08:04:59 2009  using large prime bound of 344994450 (28 bits)
Fri Apr 17 08:04:59 2009  using double large prime bound of 2333789820820650 (43-52 bits)
Fri Apr 17 08:04:59 2009  using trial factoring cutoff of 52 bits
Fri Apr 17 08:04:59 2009  polynomial 'A' values have 13 factors
Fri Apr 17 12:43:45 2009  85035 relations (21540 full + 63495 combined from 1262176 partial), need 84777
Fri Apr 17 12:43:47 2009  begin with 1283716 relations
Fri Apr 17 12:43:48 2009  reduce to 219055 relations in 12 passes
Fri Apr 17 12:43:48 2009  attempting to read 219055 relations
Fri Apr 17 12:43:52 2009  recovered 219055 relations
Fri Apr 17 12:43:52 2009  recovered 204927 polynomials
Fri Apr 17 12:43:52 2009  attempting to build 85035 cycles
Fri Apr 17 12:43:52 2009  found 85035 cycles in 6 passes
Fri Apr 17 12:43:52 2009  distribution of cycle lengths:
Fri Apr 17 12:43:52 2009     length 1 : 21540
Fri Apr 17 12:43:52 2009     length 2 : 15038
Fri Apr 17 12:43:52 2009     length 3 : 14584
Fri Apr 17 12:43:52 2009     length 4 : 11363
Fri Apr 17 12:43:52 2009     length 5 : 8571
Fri Apr 17 12:43:52 2009     length 6 : 5599
Fri Apr 17 12:43:52 2009     length 7 : 3502
Fri Apr 17 12:43:52 2009     length 9+: 4838
Fri Apr 17 12:43:52 2009  largest cycle: 21 relations
Fri Apr 17 12:43:53 2009  matrix is 84681 x 85035 (22.9 MB) with weight 5657471 (66.53/col)
Fri Apr 17 12:43:53 2009  sparse part has weight 5657471 (66.53/col)
Fri Apr 17 12:43:54 2009  filtering completed in 3 passes
Fri Apr 17 12:43:54 2009  matrix is 80389 x 80453 (21.7 MB) with weight 5370825 (66.76/col)
Fri Apr 17 12:43:54 2009  sparse part has weight 5370825 (66.76/col)
Fri Apr 17 12:43:54 2009  saving the first 48 matrix rows for later
Fri Apr 17 12:43:54 2009  matrix is 80341 x 80453 (13.9 MB) with weight 4286515 (53.28/col)
Fri Apr 17 12:43:54 2009  sparse part has weight 3167151 (39.37/col)
Fri Apr 17 12:43:54 2009  matrix includes 64 packed rows
Fri Apr 17 12:43:54 2009  using block size 32181 for processor cache size 1024 kB
Fri Apr 17 12:43:55 2009  commencing Lanczos iteration
Fri Apr 17 12:43:55 2009  memory use: 13.2 MB
Fri Apr 17 12:44:38 2009  lanczos halted after 1272 iterations (dim = 80340)
Fri Apr 17 12:44:38 2009  recovered 17 nontrivial dependencies
Fri Apr 17 12:44:40 2009  prp38 factor: 37956724012464402598129885947865441919
Fri Apr 17 12:44:40 2009  prp59 factor: 26125126047863880080771368057462882723263924827439187557293
Fri Apr 17 12:44:40 2009  elapsed time 04:39:44

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10133-719

c133

name 名前Serge Batalov
date 日付April 18, 2009 01:35:56 UTC 2009 年 4 月 18 日 (土) 10 時 35 分 56 秒 (日本時間)
composite number 合成数
2181069958847736625514403292181069958847736625514403292181069958847736625514403292181069958847736625514403292181069958847736625514403<133>
prime factors 素因数
1736132214682934259760138027279169156218659023617<49>
1256281025374591242622665628469340154953343169071606736108858272346763080946503313059<85>
factorization results 素因数分解の結果
SNFS difficulty: 136 digits.
Divisors found:
 r1=1736132214682934259760138027279169156218659023617 (pp49)
 r2=1256281025374591242622665628469340154953343169071606736108858272346763080946503313059 (pp85)
Version: Msieve-1.41
Total time: 2.32 hours.
Scaled time: 6.60 units (timescale=2.846).
Factorization parameters were as follows:
n: 2181069958847736625514403292181069958847736625514403292181069958847736625514403292181069958847736625514403292181069958847736625514403
m: 500000000000000000000000000
deg: 5
c5: 424
c0: -1775
skew: 1.33
type: snfs
lss: 1
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [650000, 1475001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 230935 x 231183
Total sieving time: 2.06 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,48,48,2.3,2.3,75000
total time: 2.32 hours.
software ソフトウェア
Msieve-1.41
execution environment 実行環境
AMD Phenom(tm) II X4 940; openSUSE/64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10135-719

c130

name 名前Ignacio Santos
date 日付April 17, 2009 09:38:32 UTC 2009 年 4 月 17 日 (金) 18 時 38 分 32 秒 (日本時間)
composite number 合成数
4488882689149023875520064585705347876974462576989631612642963502758164324782689377702804967279009552596450208508600910972159017907<130>
prime factors 素因数
208950478073359106691735508553258069951<39>
238220374772566897555570835368515940408729<42>
90181194435531348598364513854322550480408866621333<50>
factorization results 素因数分解の結果
Number: 58881_135
N=4488882689149023875520064585705347876974462576989631612642963502758164324782689377702804967279009552596450208508600910972159017907
  ( 130 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=208950478073359106691735508553258069951 (pp39)
 r2=238220374772566897555570835368515940408729 (pp42)
 r3=90181194435531348598364513854322550480408866621333 (pp50)
Version: Msieve-1.39
Total time: 3.61 hours.
Scaled time: 9.32 units (timescale=2.585).
Factorization parameters were as follows:
n: 4488882689149023875520064585705347876974462576989631612642963502758164324782689377702804967279009552596450208508600910972159017907
m: 1000000000000000000000000000
deg: 5
c5: 53
c0: -71
skew: 1.06
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: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 180652 x 180900
Total sieving time: 3.61 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1330000,1330000,26,26,48,48,2.3,2.3,75000
total time: 3.61 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 KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10138-719

c90

name 名前Serge Batalov
date 日付April 18, 2009 00:03:40 UTC 2009 年 4 月 18 日 (土) 9 時 3 分 40 秒 (日本時間)
composite number 合成数
678198890953406730719061459299602476927341145140434803371927643801924003643416583638024607<90>
prime factors 素因数
343285591799040843138102857725593336454477<42>
1975611290293895905492495874305707347552169153691<49>
factorization results 素因数分解の結果
Fri Apr 17 16:08:56 2009  Msieve v. 1.41
Fri Apr 17 16:08:56 2009  random seeds: c0d9302b 3e47c1e3
Fri Apr 17 16:08:56 2009  factoring 678198890953406730719061459299602476927341145140434803371927643801924003643416583638024607 (90 digits)
Fri Apr 17 16:08:56 2009  searching for 15-digit factors
Fri Apr 17 16:08:57 2009  commencing quadratic sieve (90-digit input)
Fri Apr 17 16:08:57 2009  using multiplier of 15
Fri Apr 17 16:08:57 2009  using 64kb Opteron sieve core
Fri Apr 17 16:08:57 2009  sieve interval: 18 blocks of size 65536
Fri Apr 17 16:08:57 2009  processing polynomials in batches of 6
Fri Apr 17 16:08:57 2009  using a sieve bound of 1618739 (61134 primes)
Fri Apr 17 16:08:57 2009  using large prime bound of 135974076 (27 bits)
Fri Apr 17 16:08:57 2009  using double large prime bound of 436737990159996 (42-49 bits)
Fri Apr 17 16:08:57 2009  using trial factoring cutoff of 49 bits
Fri Apr 17 16:08:57 2009  polynomial 'A' values have 12 factors
Fri Apr 17 17:01:51 2009  61570 relations (16202 full + 45368 combined from 667867 partial), need 61230
Fri Apr 17 17:01:51 2009  begin with 684069 relations
Fri Apr 17 17:01:51 2009  reduce to 150644 relations in 10 passes
Fri Apr 17 17:01:51 2009  attempting to read 150644 relations
Fri Apr 17 17:01:52 2009  recovered 150644 relations
Fri Apr 17 17:01:52 2009  recovered 130162 polynomials
Fri Apr 17 17:01:52 2009  attempting to build 61570 cycles
Fri Apr 17 17:01:52 2009  found 61570 cycles in 5 passes
Fri Apr 17 17:01:52 2009  distribution of cycle lengths:
Fri Apr 17 17:01:52 2009     length 1 : 16202
Fri Apr 17 17:01:52 2009     length 2 : 11713
Fri Apr 17 17:01:52 2009     length 3 : 10999
Fri Apr 17 17:01:52 2009     length 4 : 8245
Fri Apr 17 17:01:52 2009     length 5 : 5920
Fri Apr 17 17:01:52 2009     length 6 : 3701
Fri Apr 17 17:01:52 2009     length 7 : 2252
Fri Apr 17 17:01:52 2009     length 9+: 2538
Fri Apr 17 17:01:52 2009  largest cycle: 16 relations
Fri Apr 17 17:01:53 2009  matrix is 61134 x 61570 (16.2 MB) with weight 3746682 (60.85/col)
Fri Apr 17 17:01:53 2009  sparse part has weight 3746682 (60.85/col)
Fri Apr 17 17:01:53 2009  filtering completed in 3 passes
Fri Apr 17 17:01:53 2009  matrix is 57223 x 57287 (15.1 MB) with weight 3493687 (60.99/col)
Fri Apr 17 17:01:53 2009  sparse part has weight 3493687 (60.99/col)
Fri Apr 17 17:01:53 2009  saving the first 48 matrix rows for later
Fri Apr 17 17:01:53 2009  matrix is 57175 x 57287 (9.8 MB) with weight 2739358 (47.82/col)
Fri Apr 17 17:01:53 2009  sparse part has weight 2003525 (34.97/col)
Fri Apr 17 17:01:53 2009  matrix includes 64 packed rows
Fri Apr 17 17:01:53 2009  using block size 22914 for processor cache size 6144 kB
Fri Apr 17 17:01:53 2009  commencing Lanczos iteration
Fri Apr 17 17:01:53 2009  memory use: 8.7 MB
Fri Apr 17 17:02:08 2009  lanczos halted after 905 iterations (dim = 57171)
Fri Apr 17 17:02:08 2009  recovered 15 nontrivial dependencies
Fri Apr 17 17:02:09 2009  prp42 factor: 343285591799040843138102857725593336454477
Fri Apr 17 17:02:09 2009  prp49 factor: 1975611290293895905492495874305707347552169153691
Fri Apr 17 17:02:09 2009  elapsed time 00:53:13
software ソフトウェア
Msieve v. 1.41

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10139-719

c119

name 名前Serge Batalov
date 日付April 16, 2009 18:36:49 UTC 2009 年 4 月 17 日 (金) 3 時 36 分 49 秒 (日本時間)
composite number 合成数
10820735965973730688659615763563512979478721470319103642192453834649357604676237892912228106372233259181794307157562161<119>
prime factors 素因数
19628836388346054508128484997147281<35>
1950538446329560608415371227959497329<37>
282623148366498362008930795950925297690193155889<48>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2883563787
Step 1 took 6925ms
********** Factor found in step 1: 1950538446329560608415371227959497329
Found probable prime factor of 37 digits: 1950538446329560608415371227959497329
Composite cofactor has 82 digits

Thu Apr 16 11:00:26 2009  Msieve v. 1.41
Thu Apr 16 11:00:26 2009  random seeds: 06ab07b0 44c37f3d
Thu Apr 16 11:00:26 2009  factoring 5547563538845248822936990017294757100627630247645492603497532000944928035525487809 (82 digits)
Thu Apr 16 11:00:26 2009  searching for 15-digit factors
Thu Apr 16 11:00:27 2009  commencing quadratic sieve (82-digit input)
Thu Apr 16 11:00:27 2009  using multiplier of 1
Thu Apr 16 11:00:27 2009  using 64kb Opteron sieve core
Thu Apr 16 11:00:27 2009  sieve interval: 6 blocks of size 65536
Thu Apr 16 11:00:27 2009  processing polynomials in batches of 17
Thu Apr 16 11:00:27 2009  using a sieve bound of 1348597 (51765 primes)
Thu Apr 16 11:00:27 2009  using large prime bound of 125419521 (26 bits)
Thu Apr 16 11:00:27 2009  using trial factoring cutoff of 27 bits
Thu Apr 16 11:00:27 2009  polynomial 'A' values have 10 factors
Thu Apr 16 11:13:18 2009  51987 relations (27028 full + 24959 combined from 270581 partial), need 51861
Thu Apr 16 11:13:18 2009  begin with 297609 relations
Thu Apr 16 11:13:18 2009  reduce to 73841 relations in 2 passes
Thu Apr 16 11:13:18 2009  attempting to read 73841 relations
Thu Apr 16 11:13:18 2009  recovered 73841 relations
Thu Apr 16 11:13:18 2009  recovered 64025 polynomials
Thu Apr 16 11:13:18 2009  attempting to build 51987 cycles
Thu Apr 16 11:13:18 2009  found 51987 cycles in 1 passes
Thu Apr 16 11:13:18 2009  distribution of cycle lengths:
Thu Apr 16 11:13:18 2009     length 1 : 27028
Thu Apr 16 11:13:18 2009     length 2 : 24959
Thu Apr 16 11:13:18 2009  largest cycle: 2 relations
Thu Apr 16 11:13:18 2009  matrix is 51765 x 51987 (7.6 MB) with weight 1583604 (30.46/col)
Thu Apr 16 11:13:18 2009  sparse part has weight 1583604 (30.46/col)
Thu Apr 16 11:13:19 2009  filtering completed in 3 passes
Thu Apr 16 11:13:19 2009  matrix is 36391 x 36453 (5.9 MB) with weight 1254865 (34.42/col)
Thu Apr 16 11:13:19 2009  sparse part has weight 1254865 (34.42/col)
Thu Apr 16 11:13:19 2009  saving the first 48 matrix rows for later
Thu Apr 16 11:13:19 2009  matrix is 36343 x 36453 (4.6 MB) with weight 1009631 (27.70/col)
Thu Apr 16 11:13:19 2009  sparse part has weight 832049 (22.83/col)
Thu Apr 16 11:13:19 2009  matrix includes 64 packed rows
Thu Apr 16 11:13:19 2009  using block size 14581 for processor cache size 6144 kB
Thu Apr 16 11:13:19 2009  commencing Lanczos iteration
Thu Apr 16 11:13:19 2009  memory use: 4.3 MB
Thu Apr 16 11:13:25 2009  lanczos halted after 576 iterations (dim = 36339)
Thu Apr 16 11:13:25 2009  recovered 15 nontrivial dependencies
Thu Apr 16 11:13:25 2009  prp35 factor: 19628836388346054508128484997147281
Thu Apr 16 11:13:25 2009  prp48 factor: 282623148366498362008930795950925297690193155889
Thu Apr 16 11:13:25 2009  elapsed time 00:12:59
software ソフトウェア
GMP-ECM 6.2.2+msieve qs

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10142-719

c108

name 名前Ignacio Santos
date 日付April 17, 2009 12:47:50 UTC 2009 年 4 月 17 日 (金) 21 時 47 分 50 秒 (日本時間)
composite number 合成数
180261038549878282546405625387619251986666046371548632232487890600553463920445113493554792990997936363050307<108>
prime factors 素因数
71133922634174006030717975784795514715709640159273987<53>
2534107945612965006523312677086987427729240908255143361<55>
factorization results 素因数分解の結果
Number: 58881_142
N=180261038549878282546405625387619251986666046371548632232487890600553463920445113493554792990997936363050307
  ( 108 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=71133922634174006030717975784795514715709640159273987 (pp53)
 r2=2534107945612965006523312677086987427729240908255143361 (pp55)
Version: Msieve-1.39
Total time: 9.02 hours.
Scaled time: 23.19 units (timescale=2.570).
Factorization parameters were as follows:
n: 180261038549878282546405625387619251986666046371548632232487890600553463920445113493554792990997936363050307
m: 20000000000000000000000000000
deg: 5
c5: 1325
c0: -568
skew: 0.84
type: snfs
lss: 1
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [900000, 2400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 323665 x 323913
Total sieving time: 9.02 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,49,49,2.3,2.3,100000
total time: 9.02 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 KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10145-719

c105

name 名前Robert Backstrom
date 日付April 17, 2009 16:57:58 UTC 2009 年 4 月 18 日 (土) 1 時 57 分 58 秒 (日本時間)
composite number 合成数
559684961327765247034503844891371736894556026815844268035413780122864846810001043646439238215822233873783<105>
prime factors 素因数
3316688302115642889056012400773516430032419<43>
168748133784761883638959898979058638917739521572854314854336157<63>
factorization results 素因数分解の結果
Number: n
N=559684961327765247034503844891371736894556026815844268035413780122864846810001043646439238215822233873783
  ( 105 digits)
Divisors found:

Sat Apr 18 02:54:26 2009  prp43 factor: 3316688302115642889056012400773516430032419
Sat Apr 18 02:54:26 2009  prp63 factor: 168748133784761883638959898979058638917739521572854314854336157
Sat Apr 18 02:54:26 2009  elapsed time 00:38:14 (Msieve 1.39 - dependency 4)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 5.68 hours.
Scaled time: 15.10 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_5_8_144_1
n: 559684961327765247034503844891371736894556026815844268035413780122864846810001043646439238215822233873783
Y0: -176799813543897703182
Y1:  72476416319
c0: -10442345234358626558524313
c1:  19040482229417220485271
c2:  581533457134543607
c3: -10679814889731
c4: -189005634
c5:  3240
skew: 43207.82
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1250000, 1851097)
Primes: RFBsize:183072, AFBsize:183757, largePrimes:14104467 encountered
Relations: rels:11862900, finalFF:384598
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 684206 hash collisions in 12317492 relations
Msieve: matrix is 376672 x 376920 (104.9 MB)

Total sieving time: 5.43 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,28,28,56,56,2.6,2.6,150000
total time: 5.68 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 KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10147-719

c128

name 名前Ignacio Santos
date 日付April 17, 2009 17:22:34 UTC 2009 年 4 月 18 日 (土) 2 時 22 分 34 秒 (日本時間)
composite number 合成数
20038488251053949891160955364517975958712532523335809074228319663764962729976432022531272278261934548560037253969985567490820747<128>
prime factors 素因数
8841650303160994912744847210119857502267<40>
2266374213407869403317452567641879525824318358979772631723729317593675170965387268563441<88>
factorization results 素因数分解の結果
Number: 58881_147
N=20038488251053949891160955364517975958712532523335809074228319663764962729976432022531272278261934548560037253969985567490820747
  ( 128 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=8841650303160994912744847210119857502267 (pp40)
 r2=2266374213407869403317452567641879525824318358979772631723729317593675170965387268563441 (pp88)
Version: Msieve-1.39
Total time: 13.69 hours.
Scaled time: 35.28 units (timescale=2.577).
Factorization parameters were as follows:
n: 20038488251053949891160955364517975958712532523335809074228319663764962729976432022531272278261934548560037253969985567490820747
m: 200000000000000000000000000000
deg: 5
c5: 1325
c0: -568
skew: 0.84
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 3300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 406122 x 406370
Total sieving time: 13.69 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,149,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 13.69 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 KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10148-719

c130

name 名前Jo Yeong Uk
date 日付April 19, 2009 01:32:18 UTC 2009 年 4 月 19 日 (日) 10 時 32 分 18 秒 (日本時間)
composite number 合成数
5492026324616095798033102395215615366695629783537974299978961263104321958528283500871403176146355042788370590000930782242917841279<130>
prime factors 素因数
82385359894943408004943162699533169281913<41>
66662648941747010745791795419173523195324651729972252459647715337503778584049915638822583<89>
factorization results 素因数分解の結果
Number: 58881_148
N=5492026324616095798033102395215615366695629783537974299978961263104321958528283500871403176146355042788370590000930782242917841279
  ( 130 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=82385359894943408004943162699533169281913
 r2=66662648941747010745791795419173523195324651729972252459647715337503778584049915638822583
Version: 
Total time: 9.99 hours.
Scaled time: 23.83 units (timescale=2.386).
Factorization parameters were as follows:
n: 5492026324616095798033102395215615366695629783537974299978961263104321958528283500871403176146355042788370590000930782242917841279
m: 1000000000000000000000000000000
deg: 5
c5: 53
c0: -7100
skew: 2.66
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 6910517
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 436261 x 436509
Total sieving time: 9.21 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 0.39 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2000000,2000000,27,27,49,49,2.4,2.4,100000
total time: 9.99 hours.
 --------- CPU info (if available) ----------
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
351e61328118Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)
121010metrehApril 18, 2009 07:23:32 UTC 2009 年 4 月 18 日 (土) 16 時 23 分 32 秒 (日本時間)
403e637 / 198810metrehApril 18, 2009 07:24:35 UTC 2009 年 4 月 18 日 (土) 16 時 24 分 35 秒 (日本時間)

53×10149-719

c113

name 名前Robert Backstrom
date 日付April 19, 2009 00:50:33 UTC 2009 年 4 月 19 日 (日) 9 時 50 分 33 秒 (日本時間)
composite number 合成数
15410253387705434693965673668065684984653498882240991066120364949759038956067606885783711480075651457014249888381<113>
prime factors 素因数
106800209355250487145003373704765155010615558207705547567<57>
144290479211011391034524051927928805222760474712705729043<57>
factorization results 素因数分解の結果
Number: n
N=15410253387705434693965673668065684984653498882240991066120364949759038956067606885783711480075651457014249888381
  ( 113 digits)
SNFS difficulty: 151 digits.
Divisors found:

Sun Apr 19 10:39:07 2009  prp57 factor: 106800209355250487145003373704765155010615558207705547567
Sun Apr 19 10:39:07 2009  prp57 factor: 144290479211011391034524051927928805222760474712705729043
Sun Apr 19 10:39:07 2009  elapsed time 00:25:17 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 15.47 hours.
Scaled time: 40.98 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_5_8_148_1
n: 15410253387705434693965673668065684984653498882240991066120364949759038956067606885783711480075651457014249888381
m: 1000000000000000000000000000000
deg: 5
c5: 53
c0: -710
skew: 1.68
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1200000, 2207143)
Primes: RFBsize:176302, AFBsize:176159, largePrimes:11666723 encountered
Relations: rels:11027980, finalFF:373357
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1019499 hash collisions in 11953025 relations
Msieve: matrix is 406774 x 407022 (108.2 MB)

Total sieving time: 15.20 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,28,28,56,56,2.4,2.4,100000
total time: 15.47 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 KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10150-719

c133

name 名前Ignacio Santos
date 日付April 18, 2009 19:37:27 UTC 2009 年 4 月 19 日 (日) 4 時 37 分 27 秒 (日本時間)
composite number 合成数
2065289201935377916361303754850202748421005648580776733236968519814503971051359873268351261206738974803314183796084499535780787124089<133>
prime factors 素因数
1006667291845049530667097296308918344203566521580425950778739<61>
2051610515873675499019042734361944316125748570732769002787444070163735651<73>
factorization results 素因数分解の結果
Number: 58881_150
N=2065289201935377916361303754850202748421005648580776733236968519814503971051359873268351261206738974803314183796084499535780787124089
  ( 133 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=1006667291845049530667097296308918344203566521580425950778739 (pp61)
 r2=2051610515873675499019042734361944316125748570732769002787444070163735651 (pp73)
Version: Msieve-1.39
Total time: 13.07 hours.
Scaled time: 33.81 units (timescale=2.587).
Factorization parameters were as follows:
n: 2065289201935377916361303754850202748421005648580776733236968519814503971051359873268351261206738974803314183796084499535780787124089
m: 1000000000000000000000000000000
deg: 5
c5: 53
c0: -71
skew: 1.06
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 1900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 388006 x 388254
Total sieving time: 13.07 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 13.07 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
351e61328118Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)
121010metrehApril 18, 2009 07:55:55 UTC 2009 年 4 月 18 日 (土) 16 時 55 分 55 秒 (日本時間)
403e6103 / 198810metrehApril 18, 2009 07:56:11 UTC 2009 年 4 月 18 日 (土) 16 時 56 分 11 秒 (日本時間)

53×10151-719

c96

name 名前Sinkiti Sibata
date 日付April 17, 2009 21:47:38 UTC 2009 年 4 月 18 日 (土) 6 時 47 分 38 秒 (日本時間)
composite number 合成数
211078149363589963815116393190719711120312274320994824021579216883462998082421755858953483683133<96>
prime factors 素因数
42936148687473484273728024786408390015437208617<47>
4916094149477628730365878389162042910302106837749<49>
factorization results 素因数分解の結果
Fri Apr 17 22:03:47 2009  Msieve v. 1.41
Fri Apr 17 22:03:47 2009  random seeds: e488b000 c6788c06
Fri Apr 17 22:03:47 2009  factoring 211078149363589963815116393190719711120312274320994824021579216883462998082421755858953483683133 (96 digits)
Fri Apr 17 22:03:48 2009  searching for 15-digit factors
Fri Apr 17 22:03:50 2009  commencing quadratic sieve (96-digit input)
Fri Apr 17 22:03:50 2009  using multiplier of 3
Fri Apr 17 22:03:50 2009  using 32kb Intel Core sieve core
Fri Apr 17 22:03:50 2009  sieve interval: 36 blocks of size 32768
Fri Apr 17 22:03:50 2009  processing polynomials in batches of 6
Fri Apr 17 22:03:50 2009  using a sieve bound of 2221733 (82353 primes)
Fri Apr 17 22:03:50 2009  using large prime bound of 333259950 (28 bits)
Fri Apr 17 22:03:50 2009  using double large prime bound of 2192853470339550 (43-51 bits)
Fri Apr 17 22:03:50 2009  using trial factoring cutoff of 51 bits
Fri Apr 17 22:03:50 2009  polynomial 'A' values have 12 factors
Sat Apr 18 02:35:33 2009  82536 relations (20005 full + 62531 combined from 1235511 partial), need 82449
Sat Apr 18 02:35:35 2009  begin with 1255516 relations
Sat Apr 18 02:35:36 2009  reduce to 216093 relations in 10 passes
Sat Apr 18 02:35:36 2009  attempting to read 216093 relations
Sat Apr 18 02:35:39 2009  recovered 216093 relations
Sat Apr 18 02:35:39 2009  recovered 202007 polynomials
Sat Apr 18 02:35:40 2009  attempting to build 82536 cycles
Sat Apr 18 02:35:40 2009  found 82536 cycles in 6 passes
Sat Apr 18 02:35:40 2009  distribution of cycle lengths:
Sat Apr 18 02:35:40 2009     length 1 : 20005
Sat Apr 18 02:35:40 2009     length 2 : 14414
Sat Apr 18 02:35:40 2009     length 3 : 13967
Sat Apr 18 02:35:40 2009     length 4 : 11178
Sat Apr 18 02:35:40 2009     length 5 : 8393
Sat Apr 18 02:35:40 2009     length 6 : 5707
Sat Apr 18 02:35:40 2009     length 7 : 3677
Sat Apr 18 02:35:40 2009     length 9+: 5195
Sat Apr 18 02:35:40 2009  largest cycle: 20 relations
Sat Apr 18 02:35:40 2009  matrix is 82353 x 82536 (23.0 MB) with weight 5698494 (69.04/col)
Sat Apr 18 02:35:40 2009  sparse part has weight 5698494 (69.04/col)
Sat Apr 18 02:35:42 2009  filtering completed in 3 passes
Sat Apr 18 02:35:42 2009  matrix is 78705 x 78769 (22.1 MB) with weight 5470954 (69.46/col)
Sat Apr 18 02:35:42 2009  sparse part has weight 5470954 (69.46/col)
Sat Apr 18 02:35:42 2009  saving the first 48 matrix rows for later
Sat Apr 18 02:35:42 2009  matrix is 78657 x 78769 (15.6 MB) with weight 4510774 (57.27/col)
Sat Apr 18 02:35:42 2009  sparse part has weight 3628703 (46.07/col)
Sat Apr 18 02:35:42 2009  matrix includes 64 packed rows
Sat Apr 18 02:35:42 2009  using block size 31507 for processor cache size 1024 kB
Sat Apr 18 02:35:43 2009  commencing Lanczos iteration
Sat Apr 18 02:35:43 2009  memory use: 14.0 MB
Sat Apr 18 02:36:32 2009  lanczos halted after 1245 iterations (dim = 78657)
Sat Apr 18 02:36:32 2009  recovered 19 nontrivial dependencies
Sat Apr 18 02:36:33 2009  prp47 factor: 42936148687473484273728024786408390015437208617
Sat Apr 18 02:36:33 2009  prp49 factor: 4916094149477628730365878389162042910302106837749
Sat Apr 18 02:36:33 2009  elapsed time 04:32:46

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10152-719

c146

name 名前Markus Tervooren
date 日付April 18, 2009 18:01:10 UTC 2009 年 4 月 19 日 (日) 3 時 1 分 10 秒 (日本時間)
composite number 合成数
13472446973776891128080751122167770404510906719855480603757492405880322489403977649474835501358900905981133251349172146984833702939748174393830571<146>
prime factors 素因数
358120980514725128858958545331653679533<39>
37619820414914044458839692273435650922151956137997093517622555060481625863874724410536072161511382815906487<107>
factorization results 素因数分解の結果
N=13472446973776891128080751122167770404510906719855480603757492405880322489403977649474835501358900905981133251349172146984833702939748174393830571
  ( 146 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=358120980514725128858958545331653679533 (pp39)
 r2=37619820414914044458839692273435650922151956137997093517622555060481625863874724410536072161511382815906487 (pp107)
Version: Msieve-1.39
Total time: 11.66 hours.
Scaled time: 26.15 units (timescale=2.243).
Factorization parameters were as follows:
n: 13472446973776891128080751122167770404510906719855480603757492405880322489403977649474835501358900905981133251349172146984833702939748174393830571
m: 2000000000000000000000000000000
deg: 5
c5: 1325
c0: -568
skew: 0.84
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: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 479562 x 479810
Total sieving time: 10.80 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.73 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 11.66 hours.
 --------- CPU info (if available) ----------
[    0.144009] CPU0: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.238418] CPU1: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.335353] CPU2: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.432195] CPU3: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.004000] Memory: 8198000k/10485760k available (2226k kernel code, 189836k reserved, 1082k data, 392k init)
[    0.083969] Calibrating delay using timer specific routine.. 5804.04 BogoMIPS (lpj=11608082)
[    0.160010] Calibrating delay using timer specific routine.. 8120.06 BogoMIPS (lpj=16240129)
[    0.252015] Calibrating delay using timer specific routine.. 5800.09 BogoMIPS (lpj=11600186)
[    0.351781] Calibrating delay using timer specific routine.. 5800.09 BogoMIPS (lpj=11600195)
[    0.439785] Total of 4 processors activated (25524.29 BogoMIPS).
software ソフトウェア
Lattice siever (64bit/asm), msieve 1.40, factMsieve.pl
execution environment 実行環境
Q6700@2.9Ghz, Linux

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10154-719

c147

name 名前Robert Backstrom
date 日付April 21, 2009 04:36:47 UTC 2009 年 4 月 21 日 (火) 13 時 36 分 47 秒 (日本時間)
composite number 合成数
109208162789513448702851703858513074211371194492462397897159818344452513876803589060910022195654513695691535571956886639124083657821847491431599151<147>
prime factors 素因数
58432003235623530165281017016867956379005573<44>
1909904305005828208979377889723705736501215261699<49>
978571848436525753147014195992938337808040799827522913<54>
factorization results 素因数分解の結果
Number: n
N=109208162789513448702851703858513074211371194492462397897159818344452513876803589060910022195654513695691535571956886639124083657821847491431599151
  ( 147 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=58432003235623530165281017016867956379005573 (pp44)
 r2=1909904305005828208979377889723705736501215261699 (pp49)
 r3=978571848436525753147014195992938337808040799827522913 (pp54)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 24.35 hours.
Scaled time: 35.09 units (timescale=1.441).
Factorization parameters were as follows:
name: KA_5_8_153_1
n: 109208162789513448702851703858513074211371194492462397897159818344452513876803589060910022195654513695691535571956886639124083657821847491431599151
m: 10000000000000000000000000000000
deg: 5
c5: 53
c0: -710
skew: 1.68
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 20000
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved rational special-q in [1450000, 2950001)
Primes: RFBsize:210109, AFBsize:209895, largePrimes:13516363 encountered
Relations: rels:13120834, finalFF:478919
Max relations in full relation-set: 28
Initial matrix: 420069 x 478918 with sparse part having weight 55190721.
Pruned matrix : 400471 x 402635 with weight 43607320.
Total sieving time: 22.43 hours.
Total relation processing time: 0.54 hours.
Matrix solve time: 0.94 hours.
Total square root time: 0.45 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2900000,2900000,28,28,56,56,2.4,2.4,100000
total time: 24.35 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10156-719

c135

name 名前Robert Backstrom
date 日付April 19, 2009 05:54:28 UTC 2009 年 4 月 19 日 (日) 14 時 54 分 28 秒 (日本時間)
composite number 合成数
127445599212513259661167031097844600127945207600601649714644003218328810348288025994342263956141841235757118525999000793680536957773879<135>
prime factors 素因数
458737405579699161469808051148151<33>
277818197649398752305269669956120329087419350051266481378494174971171347683342879820983467197939102529<102>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 127445599212513259661167031097844600127945207600601649714644003218328810348288025994342263956141841235757118525999000793680536957773879 (135 digits)
Using B1=2072000, B2=2854078510, polynomial Dickson(6), sigma=272239408
Step 1 took 25849ms
Step 2 took 9266ms
********** Factor found in step 2: 458737405579699161469808051148151
Found probable prime factor of 33 digits: 458737405579699161469808051148151
Probable prime cofactor 277818197649398752305269669956120329087419350051266481378494174971171347683342879820983467197939102529 has 102 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10158-719

c141

name 名前Ignacio Santos
date 日付April 17, 2009 14:19:03 UTC 2009 年 4 月 17 日 (金) 23 時 19 分 3 秒 (日本時間)
composite number 合成数
215225862254098635062373516145563229858180884948610690716839884723050559871095844778820344045193448097260622781286766391923370173940757901431<141>
prime factors 素因数
590800533267749425396799989726967304158855580389298407<54>
364295308035138105843948238320786618697318570121178416315717666433432812884446432322033<87>
factorization results 素因数分解の結果
Number: 58881_158
N=215225862254098635062373516145563229858180884948610690716839884723050559871095844778820344045193448097260622781286766391923370173940757901431
  ( 141 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=590800533267749425396799989726967304158855580389298407 (pp54)
 r2=364295308035138105843948238320786618697318570121178416315717666433432812884446432322033 (pp87)
Version: Msieve-1.39
Total time: 36.12 hours.
Scaled time: 62.82 units (timescale=1.739).
Factorization parameters were as follows:
n: 215225862254098635062373516145563229858180884948610690716839884723050559871095844778820344045193448097260622781286766391923370173940757901431
m: 50000000000000000000000000000000
deg: 5
c5: 424
c0: -1775
skew: 1.33
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 710549 x 710797
Total sieving time: 36.12 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 36.12 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 KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10159-719

c107

name 名前Robert Backstrom
date 日付April 18, 2009 23:56:41 UTC 2009 年 4 月 19 日 (日) 8 時 56 分 41 秒 (日本時間)
composite number 合成数
50083111881246415258836189923446650619873710853182232529963769466745141613279822608636885515510257980520769<107>
prime factors 素因数
6078143242188653953677512610851837554339876404942979<52>
8239870283677649983233243756347853355656983261837612011<55>
factorization results 素因数分解の結果
Number: n
N=50083111881246415258836189923446650619873710853182232529963769466745141613279822608636885515510257980520769
  ( 107 digits)
Divisors found:
 r1=6078143242188653953677512610851837554339876404942979 (pp52)
 r2=8239870283677649983233243756347853355656983261837612011 (pp55)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 8.87 hours.
Scaled time: 23.49 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_5_8_158_1
n: 50083111881246415258836189923446650619873710853182232529963769466745141613279822608636885515510257980520769
Y0: -476444653022084686012
Y1:  101590671413
c0: -176302300640800173013419063
c1:  18648490637306616368999
c2:  138703903042426525
c3: -19244747603213
c4: -25299728
c5:  2040
skew: 40590.29
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [1250000, 2200001)
Primes: RFBsize:183072, AFBsize:182873, largePrimes:15737194 encountered
Relations: rels:14081049, finalFF:507587
Max relations in full relation-set: 28
Initial matrix: 366022 x 507587 with sparse part having weight 47260200.
Pruned matrix : 271239 x 273133 with weight 27017065.
Total sieving time: 7.88 hours.
Total relation processing time: 0.50 hours.
Matrix solve time: 0.30 hours.
Total square root time: 0.18 hours, sqrts: 1.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,28,28,56,56,2.6,2.6,150000
total time: 8.87 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10162-719

c145

name 名前Serge Batalov
date 日付April 18, 2009 20:13:29 UTC 2009 年 4 月 19 日 (日) 5 時 13 分 29 秒 (日本時間)
composite number 合成数
1892440788878404144302198686510536745420067422282402288634819815421221083610637318975717097220854059045294150201087963377097039986643570946342393<145>
prime factors 素因数
1236279080219216121922252206884753<34>
composite cofactor 合成数の残り
1530755327949768346559116010704472935748277600679650175511082917507123042329452736442582425054160912093674875881<112>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=3167953602
Step 1 took 8465ms
Step 2 took 8816ms
********** Factor found in step 2: 1236279080219216121922252206884753
Found probable prime factor of 34 digits: 1236279080219216121922252206884753
Composite cofactor has 112 digits
software ソフトウェア
GMP-ECM 6.2.2

c112

name 名前Robert Backstrom
date 日付April 21, 2009 21:34:40 UTC 2009 年 4 月 22 日 (水) 6 時 34 分 40 秒 (日本時間)
composite number 合成数
1530755327949768346559116010704472935748277600679650175511082917507123042329452736442582425054160912093674875881<112>
prime factors 素因数
443544821402465146063268358238856200246841<42>
3451185210796963823875477889316547070862232437023870711320410226459441<70>
factorization results 素因数分解の結果
Number: KA_5_8_161_1
N=1530755327949768346559116010704472935748277600679650175511082917507123042329452736442582425054160912093674875881
  ( 112 digits)
Divisors found:
 r1=443544821402465146063268358238856200246841 (pp42)
 r2=3451185210796963823875477889316547070862232437023870711320410226459441 (pp70)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 15.86 hours.
Scaled time: 42.37 units (timescale=2.671).
Factorization parameters were as follows:
n: 1530755327949768346559116010704472935748277600679650175511082917507123042329452736442582425054160912093674875881
Y0: -2793386256401126466886
Y1:  580659604429
c0:  1249418291818091229406104855
c1:  87816497597904215717963
c2: -2303223579921404027
c3: -109127595890605
c4:  828480114
c5:  9000
skew: 36890.51
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [1750000, 2400001)
Primes: RFBsize:250150, AFBsize:250833, largePrimes:16869364 encountered
Relations: rels:15156758, finalFF:588554
Max relations in full relation-set: 28
Initial matrix: 501060 x 588554 with sparse part having weight 51733363.
Pruned matrix : 430049 x 432618 with weight 33187546.
Total sieving time: 14.33 hours.
Total relation processing time: 0.49 hours.
Matrix solve time: 0.80 hours.
Total square root time: 0.25 hours, sqrts: 1.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,28,28,56,56,2.6,2.6,100000
total time: 15.86 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 KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10163-719

c139

name 名前Jo Yeong Uk
date 日付April 20, 2009 12:40:07 UTC 2009 年 4 月 20 日 (月) 21 時 40 分 7 秒 (日本時間)
composite number 合成数
3701517666325701027779366640216236218837963742983531931726635303099814464739514466644120549856564034083324033280638783693272531866777214017<139>
prime factors 素因数
377498624063625239463952264309281335010127635110927025061<57>
9805380550742964674231939389316251929069674579746840643746394494793350010716857197<82>
factorization results 素因数分解の結果
Number: 58881_163
N=3701517666325701027779366640216236218837963742983531931726635303099814464739514466644120549856564034083324033280638783693272531866777214017
  ( 139 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=377498624063625239463952264309281335010127635110927025061
 r2=9805380550742964674231939389316251929069674579746840643746394494793350010716857197
Version: 
Total time: 34.87 hours.
Scaled time: 83.23 units (timescale=2.387).
Factorization parameters were as follows:
n: 3701517666325701027779366640216236218837963742983531931726635303099814464739514466644120549856564034083324033280638783693272531866777214017
m: 1000000000000000000000000000000000
deg: 5
c5: 53
c0: -7100
skew: 2.66
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2400000, 5300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10183017
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 870654 x 870902
Total sieving time: 31.70 hours.
Total relation processing time: 1.43 hours.
Matrix solve time: 1.63 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,51,51,2.4,2.4,100000
total time: 34.87 hours.
 --------- CPU info (if available) ----------
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 KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10165-719

c130

name 名前Jo Yeong Uk
date 日付April 23, 2009 23:18:58 UTC 2009 年 4 月 24 日 (金) 8 時 18 分 58 秒 (日本時間)
composite number 合成数
6025997712548928580140437380295469588477406790695466700698973804134750409989600365698409400134707346602045944981706534764804190019<130>
prime factors 素因数
7456075032830949289097809630839141133<37>
808199714463033799839895000646180717663570250954579698107795831316200571506223546388577376143<93>
factorization results 素因数分解の結果
Number: 58881_165
N=6025997712548928580140437380295469588477406790695466700698973804134750409989600365698409400134707346602045944981706534764804190019
  ( 130 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=7456075032830949289097809630839141133
 r2=808199714463033799839895000646180717663570250954579698107795831316200571506223546388577376143
Version: 
Total time: 24.84 hours.
Scaled time: 59.16 units (timescale=2.382).
Factorization parameters were as follows:
n: 6025997712548928580140437380295469588477406790695466700698973804134750409989600365698409400134707346602045944981706534764804190019
m: 1000000000000000000000000000000000
deg: 5
c5: 53
c0: -71
skew: 1.06
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2400000, 4400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9904777
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 778856 x 779104
Total sieving time: 22.38 hours.
Total relation processing time: 0.97 hours.
Matrix solve time: 1.39 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,51,51,2.4,2.4,100000
total time: 24.84 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.. 5344.77 BogoMIPS (lpj=2672387)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672339)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672379)
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 KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10166-719

c130

name 名前Jo Yeong Uk
date 日付May 14, 2009 07:09:59 UTC 2009 年 5 月 14 日 (木) 16 時 9 分 59 秒 (日本時間)
composite number 合成数
7711041917104953726782529594857675992009409630005014615924347870515549294274391649540185622317721217959229856759607475749281570623<130>
prime factors 素因数
5424508418994216438894842882597473125698917<43>
1421519024674072529801317548921990745200160059101495179565493543560830040916204609073619<88>
factorization results 素因数分解の結果
Number: 58881_166
N=7711041917104953726782529594857675992009409630005014615924347870515549294274391649540185622317721217959229856759607475749281570623
  ( 130 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=5424508418994216438894842882597473125698917
 r2=1421519024674072529801317548921990745200160059101495179565493543560830040916204609073619
Version: 
Total time: 38.60 hours.
Scaled time: 92.10 units (timescale=2.386).
Factorization parameters were as follows:
n: 7711041917104953726782529594857675992009409630005014615924347870515549294274391649540185622317721217959229856759607475749281570623
m: 1000000000000000000000000000000000
deg: 5
c5: 530
c0: -71
skew: 0.67
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2700000, 5800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10253930
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 927795 x 928043
Total sieving time: 35.06 hours.
Total relation processing time: 1.54 hours.
Matrix solve time: 1.86 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,51,51,2.4,2.4,100000
total time: 38.60 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=2673793)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672305)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
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 KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10167-719

c141

name 名前Robert Backstrom
date 日付April 22, 2009 20:36:04 UTC 2009 年 4 月 23 日 (木) 5 時 36 分 4 秒 (日本時間)
composite number 合成数
446089810812504105158182504969145136704663270654799288006352123575641893590592744605656997178397333941887287764109361491827634663159581411939<141>
prime factors 素因数
15289508170453564157615559715265886034189<41>
29176204089714079058424787149185032695439825811546932354672800303249154820310505588922930701582824751<101>
factorization results 素因数分解の結果
Number: n
N=446089810812504105158182504969145136704663270654799288006352123575641893590592744605656997178397333941887287764109361491827634663159581411939
  ( 141 digits)
SNFS difficulty: 169 digits.
Divisors found:

Thu Apr 23 06:30:42 2009  prp41 factor: 15289508170453564157615559715265886034189
Thu Apr 23 06:30:42 2009  prp101 factor: 29176204089714079058424787149185032695439825811546932354672800303249154820310505588922930701582824751
Thu Apr 23 06:30:42 2009  elapsed time 01:28:32 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 61.86 hours.
Scaled time: 164.56 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_5_8_166_1
n: 446089810812504105158182504969145136704663270654799288006352123575641893590592744605656997178397333941887287764109361491827634663159581411939
m: 2000000000000000000000000000000000
deg: 5
c5: 1325
c0: -568
skew: 0.84
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2350000, 6054613)
Primes: RFBsize:328964, AFBsize:327815, largePrimes:17382610 encountered
Relations: rels:17432208, finalFF:658654
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2355284 hash collisions in 19429834 relations
Msieve: matrix is 837045 x 837293 (221.6 MB)

Total sieving time: 60.95 hours.
Total relation processing time: 0.91 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4700000,4700000,28,28,56,56,2.4,2.4,100000
total time: 61.86 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 KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10168-719

c147

name 名前Robert Backstrom
date 日付May 3, 2009 16:31:39 UTC 2009 年 5 月 4 日 (月) 1 時 31 分 39 秒 (日本時間)
composite number 合成数
223987374010578230602619365407550244395618807812115773382000910093930361470571571495008898858070692217063327571950687456345105693573292303410233193<147>
prime factors 素因数
169017775524223519035278966544358165435527479<45>
1325229688509753839571072379572594850333978022743803818791211312741515576887190505144667080147934159967<103>
factorization results 素因数分解の結果
Number: n
N=223987374010578230602619365407550244395618807812115773382000910093930361470571571495008898858070692217063327571950687456345105693573292303410233193
  ( 147 digits)
SNFS difficulty: 171 digits.
Divisors found:

Mon May 04 02:27:53 2009  prp45 factor: 169017775524223519035278966544358165435527479
Mon May 04 02:27:53 2009  prp103 factor: 1325229688509753839571072379572594850333978022743803818791211312741515576887190505144667080147934159967
Mon May 04 02:27:53 2009  elapsed time 01:38:50 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 77.13 hours.
Scaled time: 200.15 units (timescale=2.595).
Factorization parameters were as follows:
name: KA_5_8_167_1
n: 223987374010578230602619365407550244395618807812115773382000910093930361470571571495008898858070692217063327571950687456345105693573292303410233193
m: 5000000000000000000000000000000000
deg: 5
c5: 424
c0: -1775
skew: 1.33
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2500000, 7100131)
Primes: RFBsize:348513, AFBsize:349532, largePrimes:18200592 encountered
Relations: rels:18635149, finalFF:670254
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2751633 hash collisions in 21005685 relations
Msieve: matrix is 899202 x 899450 (237.1 MB)

Total sieving time: 76.26 hours.
Total relation processing time: 0.87 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,56,56,2.4,2.4,100000
total time: 77.13 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 KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10169-719

c165

name 名前Serge Batalov
date 日付April 18, 2009 20:14:05 UTC 2009 年 4 月 19 日 (日) 5 時 14 分 5 秒 (日本時間)
composite number 合成数
117643428981880470280717198736820328962103056087725595148118626306535713992398458737899097008993507192563869838422299511735375978410433063219581016257212041626240611<165>
prime factors 素因数
268408781245025917238865818507107<33>
composite cofactor 合成数の残り
438299479011775469486372343095698175154784520161586980563186912608598242291187115880197057529976739290204068936254644363207769097473<132>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=504785334
Step 1 took 9505ms
Step 2 took 9856ms
********** Factor found in step 2: 268408781245025917238865818507107
Found probable prime factor of 33 digits: 268408781245025917238865818507107
Composite cofactor has 132 digits
software ソフトウェア
GMP-ECM 6.2.2

c132

name 名前Erik Branger
date 日付September 5, 2009 21:46:43 UTC 2009 年 9 月 6 日 (日) 6 時 46 分 43 秒 (日本時間)
composite number 合成数
438299479011775469486372343095698175154784520161586980563186912608598242291187115880197057529976739290204068936254644363207769097473<132>
prime factors 素因数
23558974883254664303215516645325268137706557468101857830919331<62>
18604352743858630351683027420410354047658125089089380509126300180803083<71>
factorization results 素因数分解の結果
Number: 58881_169
N=438299479011775469486372343095698175154784520161586980563186912608598242291187115880197057529976739290204068936254644363207769097473
  ( 132 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=23558974883254664303215516645325268137706557468101857830919331 (pp62)
 r2=18604352743858630351683027420410354047658125089089380509126300180803083 (pp71)
Version: Msieve-1.40
Total time: 143.39 hours.
Scaled time: 139.52 units (timescale=0.973).
Factorization parameters were as follows:
n: 438299479011775469486372343095698175154784520161586980563186912608598242291187115880197057529976739290204068936254644363207769097473
m: 10000000000000000000000000000000000
deg: 5
c5: 53
c0: -710
skew: 1.68
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 1000
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 6750000)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1058580 x 1058805
Total sieving time: 139.51 hours.
Total relation processing time: 0.66 hours.
Matrix solve time: 2.90 hours.
Time per square root: 0.31 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 143.39 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 KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiAugust 1, 2009 05:03:08 UTC 2009 年 8 月 1 日 (土) 14 時 3 分 8 秒 (日本時間)

53×10170-719

c136

name 名前Jo Yeong Uk
date 日付September 23, 2009 13:59:58 UTC 2009 年 9 月 23 日 (水) 22 時 59 分 58 秒 (日本時間)
composite number 合成数
1758506242568529843518862184298300192461949248965270914514846025080664578579799593627607383834257179355214779859822982674375843959144771<136>
prime factors 素因数
2263601622974746710068103777175357428919279<43>
129968124481852563001973196053531945137907861<45>
5977327695821253697952452498480093874447527049209<49>
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 1758506242568529843518862184298300192461949248965270914514846025080664578579799593627607383834257179355214779859822982674375843959144771 (136 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=5649517295
Step 1 took 47877ms
Step 2 took 18142ms
********** Factor found in step 2: 2263601622974746710068103777175357428919279
Found probable prime factor of 43 digits: 2263601622974746710068103777175357428919279
Composite cofactor 776862070039321652585092816078249433530009012184886494488579907901648422652529493601054931949 has 93 digits

09/23/09 21:37:37 v1.10 @ 조영욱-PC, starting SIQS on c93: 776862070039321652585092816078249433530009012184886494488579907901648422652529493601054931949
09/23/09 21:37:37 v1.10 @ 조영욱-PC, random seeds: 2381196637, 590092736
09/23/09 21:37:38 v1.10 @ 조영욱-PC, ==== sieve params ====
09/23/09 21:37:38 v1.10 @ 조영욱-PC, n = 93 digits, 311 bits
09/23/09 21:37:38 v1.10 @ 조영욱-PC, factor base: 77164 primes (max prime = 2082163)
09/23/09 21:37:38 v1.10 @ 조영욱-PC, single large prime cutoff: 249859560 (120 * pmax)
09/23/09 21:37:38 v1.10 @ 조영욱-PC, double large prime range from 43 to 51 bits
09/23/09 21:37:38 v1.10 @ 조영욱-PC, double large prime cutoff: 1305728091160594
09/23/09 21:37:38 v1.10 @ 조영욱-PC, using 16 large prime slices of factor base
09/23/09 21:37:38 v1.10 @ 조영욱-PC, buckets hold 1024 elements
09/23/09 21:37:38 v1.10 @ 조영욱-PC, sieve interval: 11 blocks of size 65536
09/23/09 21:37:38 v1.10 @ 조영욱-PC, polynomial A has ~ 12 factors
09/23/09 21:37:38 v1.10 @ 조영욱-PC, using multiplier of 5
09/23/09 21:37:38 v1.10 @ 조영욱-PC, using small prime variation correction of 21 bits
09/23/09 21:37:38 v1.10 @ 조영욱-PC, using SSE2 for trial division and x128 sieve scanning
09/23/09 21:37:38 v1.10 @ 조영욱-PC, trial factoring cutoff at 98 bits
09/23/09 21:37:38 v1.10 @ 조영욱-PC, ==== sieving started ====
09/23/09 22:51:21 v1.10 @ 조영욱-PC, sieve time = 2008.9570, relation time = 942.9800, poly_time = 1470.2500
09/23/09 22:51:21 v1.10 @ 조영욱-PC, 77251 relations found: 21724 full + 55527 from 955480 partial, using 610736 polys (298 A polys)
09/23/09 22:51:21 v1.10 @ 조영욱-PC, on average, sieving found 1.60 rels/poly and 220.91 rels/sec
09/23/09 22:51:21 v1.10 @ 조영욱-PC, trial division touched 36666660 sieve locations out of 880554278912
09/23/09 22:51:21 v1.10 @ 조영욱-PC, ==== post processing stage (msieve-1.38) ====
09/23/09 22:51:21 v1.10 @ 조영욱-PC, begin with 977204 relations
09/23/09 22:51:22 v1.10 @ 조영욱-PC, reduce to 183482 relations in 10 passes
09/23/09 22:51:23 v1.10 @ 조영욱-PC, recovered 183482 relations
09/23/09 22:51:23 v1.10 @ 조영욱-PC, recovered 158359 polynomials
09/23/09 22:51:24 v1.10 @ 조영욱-PC, attempting to build 77251 cycles
09/23/09 22:51:24 v1.10 @ 조영욱-PC, found 77251 cycles in 5 passes
09/23/09 22:51:24 v1.10 @ 조영욱-PC, distribution of cycle lengths:
09/23/09 22:51:24 v1.10 @ 조영욱-PC,    length 1 : 21724
09/23/09 22:51:24 v1.10 @ 조영욱-PC,    length 2 : 15983
09/23/09 22:51:24 v1.10 @ 조영욱-PC,    length 3 : 14131
09/23/09 22:51:24 v1.10 @ 조영욱-PC,    length 4 : 10108
09/23/09 22:51:24 v1.10 @ 조영욱-PC,    length 5 : 6699
09/23/09 22:51:24 v1.10 @ 조영욱-PC,    length 6 : 3793
09/23/09 22:51:24 v1.10 @ 조영욱-PC,    length 7 : 2214
09/23/09 22:51:24 v1.10 @ 조영욱-PC,    length 9+: 2599
09/23/09 22:51:24 v1.10 @ 조영욱-PC, largest cycle: 19 relations
09/23/09 22:51:24 v1.10 @ 조영욱-PC, matrix is 77164 x 77251 (20.1 MB) with weight 4645464 (60.13/col)
09/23/09 22:51:24 v1.10 @ 조영욱-PC, sparse part has weight 4645464 (60.13/col)
09/23/09 22:51:24 v1.10 @ 조영욱-PC, filtering completed in 3 passes
09/23/09 22:51:24 v1.10 @ 조영욱-PC, matrix is 71727 x 71791 (18.9 MB) with weight 4374381 (60.93/col)
09/23/09 22:51:24 v1.10 @ 조영욱-PC, sparse part has weight 4374381 (60.93/col)
09/23/09 22:51:25 v1.10 @ 조영욱-PC, saving the first 48 matrix rows for later
09/23/09 22:51:25 v1.10 @ 조영욱-PC, matrix is 71679 x 71791 (13.6 MB) with weight 3579075 (49.85/col)
09/23/09 22:51:25 v1.10 @ 조영욱-PC, sparse part has weight 2838426 (39.54/col)
09/23/09 22:51:25 v1.10 @ 조영욱-PC, matrix includes 64 packed rows
09/23/09 22:51:25 v1.10 @ 조영욱-PC, using block size 28716 for processor cache size 4096 kB
09/23/09 22:51:25 v1.10 @ 조영욱-PC, commencing Lanczos iteration
09/23/09 22:51:25 v1.10 @ 조영욱-PC, memory use: 11.5 MB
09/23/09 22:51:49 v1.10 @ 조영욱-PC, lanczos halted after 1135 iterations (dim = 71677)
09/23/09 22:51:50 v1.10 @ 조영욱-PC, recovered 16 nontrivial dependencies
09/23/09 22:51:51 v1.10 @ 조영욱-PC, prp45 = 129968124481852563001973196053531945137907861
09/23/09 22:51:52 v1.10 @ 조영욱-PC, prp49 = 5977327695821253697952452498480093874447527049209
09/23/09 22:51:52 v1.10 @ 조영욱-PC, Lanczos elapsed time = 28.7970 seconds.
09/23/09 22:51:52 v1.10 @ 조영욱-PC, Sqrt elapsed time = 2.0130 seconds.
09/23/09 22:51:52 v1.10 @ 조영욱-PC, SIQS elapsed time = 4454.3950 seconds.
09/23/09 22:51:52 v1.10 @ 조영욱-PC, 
09/23/09 22:51:52 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 Q6700 for GMP-ECM / Core 2 Quad Q6600 for YAFU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiAugust 6, 2009 03:34:36 UTC 2009 年 8 月 6 日 (木) 12 時 34 分 36 秒 (日本時間)

53×10171-719

c166

name 名前Ignacio Santos
date 日付September 8, 2009 14:55:35 UTC 2009 年 9 月 8 日 (火) 23 時 55 分 35 秒 (日本時間)
composite number 合成数
5214179301459350405736935209690188223018515944222448301166274176698304929337540487364420270328633980452336941053506235518969725392787570104886659974808627322043749719<166>
prime factors 素因数
1012782147434752932667684249508918320121901242771161953907631<61>
5148372050856343302191719932929532293542830496633217654226873938020652977210113515374231410045450654341849<106>
factorization results 素因数分解の結果
Number: 58881_171
N=5214179301459350405736935209690188223018515944222448301166274176698304929337540487364420270328633980452336941053506235518969725392787570104886659974808627322043749719
  ( 166 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=1012782147434752932667684249508918320121901242771161953907631 (pp61)
 r2=5148372050856343302191719932929532293542830496633217654226873938020652977210113515374231410045450654341849 (pp106)
Version: Msieve-1.40
Total time: 103.07 hours.
Scaled time: 179.23 units (timescale=1.739).
Factorization parameters were as follows:
n: 5214179301459350405736935209690188223018515944222448301166274176698304929337540487364420270328633980452336941053506235518969725392787570104886659974808627322043749719
m: 10000000000000000000000000000000000
deg: 5
c5: 530
c0: -71
skew: 0.67
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 7550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1151007 x 1151255
Total sieving time: 100.84 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 1.74 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 103.07 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiAugust 12, 2009 05:23:59 UTC 2009 年 8 月 12 日 (水) 14 時 23 分 59 秒 (日本時間)

53×10172-719

c142

name 名前Sinkiti Sibata
date 日付September 9, 2010 07:15:41 UTC 2010 年 9 月 9 日 (木) 16 時 15 分 41 秒 (日本時間)
composite number 合成数
2161386271470675492156440877949538413495663062084439166474138086379560415116826948450950017954783064774656028934988341222203161195843611014487<142>
prime factors 素因数
10601072798007631161102454630817205890692937<44>
203883730699112554340682537696863687962527754812211444395588968498956615798570871172536737058613151<99>
factorization results 素因数分解の結果
Number: 58881_172
N=2161386271470675492156440877949538413495663062084439166474138086379560415116826948450950017954783064774656028934988341222203161195843611014487
  ( 142 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=10601072798007631161102454630817205890692937 (pp44)
 r2=203883730699112554340682537696863687962527754812211444395588968498956615798570871172536737058613151 (pp99)
Version: Msieve-1.40
Total time: 106.70 hours.
Scaled time: 328.97 units (timescale=3.083).
Factorization parameters were as follows:
name: 58881_172
n: 2161386271470675492156440877949538413495663062084439166474138086379560415116826948450950017954783064774656028934988341222203161195843611014487
m: 10000000000000000000000000000000000
deg: 5
c5: 5300
c0: -71
skew: 0.42
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2750000, 7950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1142379 x 1142627
Total sieving time: 103.74 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.62 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 106.70 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61318118Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)
1200Dmitry DomanovAugust 16, 2009 14:27:18 UTC 2009 年 8 月 16 日 (日) 23 時 27 分 18 秒 (日本時間)
403e61991Wataru SakaiDecember 12, 2009 07:57:38 UTC 2009 年 12 月 12 日 (土) 16 時 57 分 38 秒 (日本時間)

53×10174-719

c142

name 名前Wataru Sakai
date 日付September 21, 2011 02:39:57 UTC 2011 年 9 月 21 日 (水) 11 時 39 分 57 秒 (日本時間)
composite number 合成数
5698019315275416773313509522415587967632329250592397970293726951485379750185219322177891082023292145777592901705174509810047413637925440080699<142>
prime factors 素因数
1684402771698298205544366185060396248937<40>
3382812834919757230081517606275227380841031584932169238707555346188691013336307085773625503489510356227<103>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1992018618
Step 1 took 61610ms
Step 2 took 23210ms
********** Factor found in step 2: 1684402771698298205544366185060396248937
Found probable prime factor of 40 digits: 1684402771698298205544366185060396248937
Probable prime cofactor 3382812834919757230081517606275227380841031584932169238707555346188691013336307085773625503489510356227 has 103 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
351e6118Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e6880 / 4475Dmitry DomanovAugust 16, 2009 14:26:33 UTC 2009 年 8 月 16 日 (日) 23 時 26 分 33 秒 (日本時間)

53×10175-719

c168

name 名前Serge Batalov
date 日付April 18, 2009 20:14:42 UTC 2009 年 4 月 19 日 (日) 5 時 14 分 42 秒 (日本時間)
composite number 合成数
262549794345662536437892709505074798472239391368797274545684046399477993941413825480723360528899883027775331482453386328682373204810393936978616388769425017134333958453<168>
prime factors 素因数
2158548290899707807210634246105330347041<40>
121632578456805687673146582029186126326283394657268436697370779282164748561294068326344587870149269097387136954490861643986922133<129>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=2926320089
Step 1 took 9548ms
Step 2 took 4621ms
********** Factor found in step 2: 2158548290899707807210634246105330347041
Found probable prime factor of 40 digits: 2158548290899707807210634246105330347041
Probable prime cofactor has 129 digits
software ソフトウェア
GMP-ECM 6.2.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10176-719

c157

name 名前Robert Backstrom
date 日付January 12, 2012 09:47:08 UTC 2012 年 1 月 12 日 (木) 18 時 47 分 8 秒 (日本時間)
composite number 合成数
6675167748226780463816930277342929832544349696309953678405618338740590728987699756583440792829810248477562866977486071593401847989071674019779600402666693841<157>
prime factors 素因数
973961250086329389674786333289700652199502176885636868584942490441<66>
6853627644462355121635744397686678572198073275569413185596633478506316442138576298745347401<91>
factorization results 素因数分解の結果
Number: n
N=6675167748226780463816930277342929832544349696309953678405618338740590728987699756583440792829810248477562866977486071593401847989071674019779600402666693841
  ( 157 digits)
SNFS difficulty: 177 digits.
Divisors found:

Thu Jan 12 20:30:44 2012  prp66 factor: 973961250086329389674786333289700652199502176885636868584942490441
Thu Jan 12 20:30:44 2012  prp91 factor: 6853627644462355121635744397686678572198073275569413185596633478506316442138576298745347401
Thu Jan 12 20:30:44 2012  elapsed time 02:46:11 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.648).
Factorization parameters were as follows:
name: KA_58881_176
n: 6675167748226780463816930277342929832544349696309953678405618338740590728987699756583440792829810248477562866977486071593401847989071674019779600402666693841
m: 100000000000000000000000000000000000
deg: 5
c5: 530
c0: -71
skew: 0.67
type: snfs
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, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8131903 hash collisions in 75000099 relations
Msieve: matrix is 1179754 x 1179991 (329.3 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 24, 2010 20:45:30 UTC 2010 年 10 月 25 日 (月) 5 時 45 分 30 秒 (日本時間)
403e62210110Ignacio SantosOctober 24, 2010 20:45:30 UTC 2010 年 10 月 25 日 (月) 5 時 45 分 30 秒 (日本時間)
2100Serge BatalovOctober 13, 2011 07:33:19 UTC 2011 年 10 月 13 日 (木) 16 時 33 分 19 秒 (日本時間)
4511e632 / 3973Ignacio SantosOctober 24, 2010 20:45:30 UTC 2010 年 10 月 25 日 (月) 5 時 45 分 30 秒 (日本時間)

53×10177-719

c166

name 名前Robert Backstrom
date 日付February 19, 2012 09:26:32 UTC 2012 年 2 月 19 日 (日) 18 時 26 分 32 秒 (日本時間)
composite number 合成数
4110237058521212525875396664600511199345276079129489262414089361437514561460827452661110914109120134087717993637926614509027081517422802576299074803902802802339660271<166>
prime factors 素因数
83846966942573550215335355421366466453<38>
49020700550042523594461039571340331345624909658090604188085869487138236288231502468124541777211426910099206442117974642551726707<128>
factorization results 素因数分解の結果
Number: n
N=4110237058521212525875396664600511199345276079129489262414089361437514561460827452661110914109120134087717993637926614509027081517422802576299074803902802802339660271
  ( 166 digits)
SNFS difficulty: 178 digits.
Divisors found:

Sun Feb 19 20:21:46 2012  prp38 factor: 83846966942573550215335355421366466453
Sun Feb 19 20:21:46 2012  prp128 factor: 49020700550042523594461039571340331345624909658090604188085869487138236288231502468124541777211426910099206442117974642551726707
Sun Feb 19 20:21:46 2012  elapsed time 03:07:59 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.657).
Factorization parameters were as follows:
name: KA_58881_177
n: 4110237058521212525875396664600511199345276079129489262414089361437514561460827452661110914109120134087717993637926614509027081517422802576299074803902802802339660271
m: 100000000000000000000000000000000000
#  c166, diff: 178.72
skew: 0.42
deg: 5
c5: 5300
c0: -71
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, 21300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8616094 hash collisions in 78990707 relations (72766348 unique)
Msieve: matrix is 1345518 x 1345745 (371.8 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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.. 5596.12 BogoMIPS (lpj=2798061)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797563)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.10 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)
Total of 8 processors activated (44761.89 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 24, 2010 21:53:45 UTC 2010 年 10 月 25 日 (月) 6 時 53 分 45 秒 (日本時間)
403e6110Ignacio SantosOctober 24, 2010 21:53:45 UTC 2010 年 10 月 25 日 (月) 6 時 53 分 45 秒 (日本時間)
4511e6632 / 443732Ignacio SantosOctober 24, 2010 21:53:45 UTC 2010 年 10 月 25 日 (月) 6 時 53 分 45 秒 (日本時間)
600Rich DickersonFebruary 6, 2012 04:04:16 UTC 2012 年 2 月 6 日 (月) 13 時 4 分 16 秒 (日本時間)

53×10179-719

c171

name 名前matsui
date 日付August 30, 2010 07:08:12 UTC 2010 年 8 月 30 日 (月) 16 時 8 分 12 秒 (日本時間)
composite number 合成数
193942576923635757775188893939691508184284294116938871369194151662427186773886344891596514033103715432884805954723712189454284915334407015466889881369973364999756209972619<171>
prime factors 素因数
866713253195654936779138316416417782115643<42>
223767868102340497715249431391419630304160168724277402326868315388378916065982012043885571596953803105599876369448427080060494833<129>
factorization results 素因数分解の結果
N=193942576923635757775188893939691508184284294116938871369194151662427186773886344891596514033103715432884805954723712189454284915334407015466889881369973364999756209972619
  ( 171 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=866713253195654936779138316416417782115643 (pp42)
 r2=223767868102340497715249431391419630304160168724277402326868315388378916065982012043885571596953803105599876369448427080060494833 (pp129)
Version: Msieve v. 1.47
Total time:
Scaled time: 615.10 units (timescale=1.881).
Factorization parameters were as follows:
n: 193942576923635757775188893939691508184284294116938871369194151662427186773886344891596514033103715432884805954723712189454284915334407015466889881369973364999756209972619
m: 100000000000000000000000000000000000
deg: 5
c5: 530000
c0: -71
skew: 0.17
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 1600000
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3600000, 13200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1622743 x 1622971
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10180-719

c148

name 名前Cyp
date 日付January 19, 2014 02:26:55 UTC 2014 年 1 月 19 日 (日) 11 時 26 分 55 秒 (日本時間)
composite number 合成数
1468563465042291788467012195371476283489602495967633514610753301003616638153102199021449525287235924430109108898714425085550234315350100279671621149<148>
prime factors 素因数
8000247039133409412409466789170274837723701287795721329334003206858697<70>
183564764670237893771779277835991000964245420681999676385437854384908696468917<78>
factorization results 素因数分解の結果
01/18/14 09:08:10 v1.34.3, nfs: commencing nfs on c148: 1468563465042291788467012195371476283489602495967633514610753301003616638153102199021449525287235924430109108898714425085550234315350100279671621149
01/18/14 09:08:10 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/18/14 09:08:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/14 09:13:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
[163 lines snipped]
01/19/14 02:21:47 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/19/14 02:27:35 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/19/14 02:33:27 v1.34.3, nfs: commencing msieve filtering
01/19/14 02:37:50 v1.34.3, nfs: commencing msieve linear algebra
01/19/14 03:22:45 v1.34.3, nfs: commencing msieve sqrt
01/19/14 03:26:54 v1.34.3, prp78 = 183564764670237893771779277835991000964245420681999676385437854384908696468917
01/19/14 03:26:54 v1.34.3, prp70 = 8000247039133409412409466789170274837723701287795721329334003206858697
01/19/14 03:26:55 v1.34.3, NFS elapsed time = 65924.4517 seconds.
01/19/14 03:26:55 v1.34.3, 
01/19/14 03:26:55 v1.34.3, 
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 KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e61608 / 4475758Dmitry DomanovAugust 16, 2009 14:26:57 UTC 2009 年 8 月 16 日 (日) 23 時 26 分 57 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:05:44 UTC 2013 年 11 月 9 日 (土) 2 時 5 分 44 秒 (日本時間)

53×10181-719

c178

name 名前Wataru Sakai
date 日付July 12, 2009 09:49:41 UTC 2009 年 7 月 12 日 (日) 18 時 49 分 41 秒 (日本時間)
composite number 合成数
6818211055793549715050236064477120399315605984588270104074202719565692820295112757773403831062740406262462532000566040163122483372570208277050930750131861628909214876564650791813<178>
prime factors 素因数
24081340990091404175861057053153272486112035432620191<53>
283132532303703333726830050085836989037702953632307132314359052811450789821802506909621984361284526068569973287653670838199643<126>
factorization results 素因数分解の結果
Number: 58881_181
N=6818211055793549715050236064477120399315605984588270104074202719565692820295112757773403831062740406262462532000566040163122483372570208277050930750131861628909214876564650791813
  ( 178 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=24081340990091404175861057053153272486112035432620191
 r2=283132532303703333726830050085836989037702953632307132314359052811450789821802506909621984361284526068569973287653670838199643
Version: 
Total time: 303.42 hours.
Scaled time: 610.18 units (timescale=2.011).
Factorization parameters were as follows:
n: 6818211055793549715050236064477120399315605984588270104074202719565692820295112757773403831062740406262462532000566040163122483372570208277050930750131861628909214876564650791813
m: 1000000000000000000000000000000000000
deg: 5
c5: 530
c0: -71
skew: 0.67
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3900000, 7500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1382118 x 1382366
Total sieving time: 303.42 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 303.42 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10182-719

c163

name 名前Jo Yeong Uk
date 日付May 10, 2014 05:06:29 UTC 2014 年 5 月 10 日 (土) 14 時 6 分 29 秒 (日本時間)
composite number 合成数
1639551304815362885481894488754200138527581448349967725821414913893556807849017894904893495225505116056469038115872625793696833350791697789855885686562592321762673<163>
prime factors 素因数
9797034164326174205366944565419152172096415169062759601524386591960307503<73>
167351800281093420611703526986821738858454946149413530678912739192160215536163343456343391<90>
factorization results 素因数分解の結果
Number: 58881_182
N=1639551304815362885481894488754200138527581448349967725821414913893556807849017894904893495225505116056469038115872625793696833350791697789855885686562592321762673
  ( 163 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=9797034164326174205366944565419152172096415169062759601524386591960307503
 r2=167351800281093420611703526986821738858454946149413530678912739192160215536163343456343391
Version: 
Total time: 86.63 hours.
Scaled time: 455.39 units (timescale=5.257).
Factorization parameters were as follows:
n: 1639551304815362885481894488754200138527581448349967725821414913893556807849017894904893495225505116056469038115872625793696833350791697789855885686562592321762673
m: 1000000000000000000000000000000000000
deg: 5
c5: 5300
c0: -71
skew: 0.42
# Murphy_E = 5.176e-11
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3400000, 7500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18939472
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1575987 x 1576235
Total sieving time: 81.30 hours.
Total relation processing time: 1.98 hours.
Matrix solve time: 3.07 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 86.63 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.. 6799.74 BogoMIPS (lpj=3399873)
Total of 12 processors activated (81596.95 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 KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 24, 2010 22:45:12 UTC 2010 年 10 月 25 日 (月) 7 時 45 分 12 秒 (日本時間)
403e6110Ignacio SantosOctober 24, 2010 22:45:12 UTC 2010 年 10 月 25 日 (月) 7 時 45 分 12 秒 (日本時間)
4511e61572 / 443732Ignacio SantosOctober 24, 2010 22:45:12 UTC 2010 年 10 月 25 日 (月) 7 時 45 分 12 秒 (日本時間)
230Ignacio SantosOctober 13, 2013 18:46:42 UTC 2013 年 10 月 14 日 (月) 3 時 46 分 42 秒 (日本時間)
230Ignacio SantosOctober 17, 2013 16:04:16 UTC 2013 年 10 月 18 日 (金) 1 時 4 分 16 秒 (日本時間)
230Ignacio SantosOctober 18, 2013 15:28:26 UTC 2013 年 10 月 19 日 (土) 0 時 28 分 26 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:06:24 UTC 2013 年 11 月 9 日 (土) 2 時 6 分 24 秒 (日本時間)

53×10183-719

c114

name 名前Markus Tervooren
date 日付April 19, 2009 18:21:33 UTC 2009 年 4 月 20 日 (月) 3 時 21 分 33 秒 (日本時間)
composite number 合成数
185791392329655960317126843193149532656075039568978618086291692551310739540908266190324079981475502216424182091227<114>
prime factors 素因数
1099460710064905094872964317328985126416851<43>
168984112509748557056357145099368984533273143568828753891708684224898777<72>
factorization results 素因数分解の結果
Sun Apr 19 18:52:26 2009
random seeds: 83640b58 38b2f3fd
factoring 185791392329655960317126843193149532656075039568978618086291692551310739540908266190324079981475502216424182091227 (114 digits)
searching for 15-digit factors
commencing number field sieve (114-digit input)
R0: -5971029592928472269554
R1:  2129960935729
A0:  862370790294329460331503539
A1: -10194782863141842356898
A2:  1238072463545608887
A3: -92182453340548
A4: -5047177812
A5:  24480
skew 39869.06, size 7.804671e-11, alpha -6.508276, combined = 6.655291e-10

commencing relation filtering
commencing duplicate removal, pass 1
error -5 reading relation 5820643
error -5 reading relation 7796563
found 689413 hash collisions in 7929051 relations
added 509 free relations
commencing duplicate removal, pass 2
found 775167 duplicates and 7154393 unique relations
memory use: 48.6 MB
reading rational ideals above 2686976
reading algebraic ideals above 2686976
commencing singleton removal, pass 1
relations with 0 large ideals: 73324
relations with 1 large ideals: 655600
relations with 2 large ideals: 2115377
relations with 3 large ideals: 2828898
relations with 4 large ideals: 1334809
relations with 5 large ideals: 88476
relations with 6 large ideals: 57908
relations with 7+ large ideals: 1
7154393 relations and about 7393740 large ideals
commencing singleton removal, pass 2
found 3488166 singletons
current dataset: 3666227 relations and about 3152132 large ideals
commencing singleton removal, pass 3
found 720586 singletons
current dataset: 2945641 relations and about 2375343 large ideals
commencing singleton removal, pass 4
found 217203 singletons
current dataset: 2728438 relations and about 2151780 large ideals
commencing singleton removal, final pass
memory use: 46.1 MB
commencing in-memory singleton removal
begin with 2728438 relations and 2260018 unique ideals
reduce to 2313233 relations and 1835471 ideals in 16 passes
max relations containing the same ideal: 65
reading rational ideals above 720000
reading algebraic ideals above 720000
commencing singleton removal, final pass
keeping 2011906 ideals with weight <= 20, new excess is 218763
memory use: 65.5 MB
commencing in-memory singleton removal
begin with 2313746 relations and 2011906 unique ideals
reduce to 2311378 relations and 2007004 ideals in 9 passes
max relations containing the same ideal: 20
removing 254221 relations and 228917 ideals in 25304 cliques
commencing in-memory singleton removal
begin with 2057157 relations and 2007004 unique ideals
reduce to 2037641 relations and 1758296 ideals in 8 passes
max relations containing the same ideal: 20
removing 188091 relations and 162787 ideals in 25304 cliques
commencing in-memory singleton removal
begin with 1849550 relations and 1758296 unique ideals
reduce to 1836735 relations and 1582524 ideals in 8 passes
max relations containing the same ideal: 20
relations with 0 large ideals: 18963
relations with 1 large ideals: 140280
relations with 2 large ideals: 422112
relations with 3 large ideals: 621928
relations with 4 large ideals: 452573
relations with 5 large ideals: 152546
relations with 6 large ideals: 26344
relations with 7+ large ideals: 1989
commencing 2-way merge
reduce to 1057712 relation sets and 803500 unique ideals
commencing full merge
memory use: 71.5 MB
found 498479 cycles, need 465700
weight of 465700 cycles is about 32909516 (70.67/cycle)
distribution of cycle lengths:
1 relations: 51136
2 relations: 49656
3 relations: 50299
4 relations: 45791
5 relations: 42157
6 relations: 37795
7 relations: 33099
8 relations: 28795
9 relations: 25932
10+ relations: 101040
heaviest cycle: 18 relations
commencing cycle optimization
start with 2870886 relations
pruned 70362 relations
memory use: 96.4 MB
distribution of cycle lengths:
1 relations: 51136
2 relations: 50814
3 relations: 52098
4 relations: 47102
5 relations: 43351
6 relations: 38370
7 relations: 33575
8 relations: 29072
9 relations: 25739
10+ relations: 94443
heaviest cycle: 18 relations
RelProcTime: 275

commencing linear algebra
read 465700 cycles
cycles contain 1621811 unique relations
read 1621811 relations
using 20 quadratic characters above 134217404
building initial matrix
memory use: 198.4 MB
read 465700 cycles
matrix is 465414 x 465700 (140.0 MB) with weight 43993893 (94.47/col)
sparse part has weight 31572525 (67.80/col)
filtering completed in 3 passes
matrix is 460957 x 461157 (139.2 MB) with weight 43699323 (94.76/col)
sparse part has weight 31410540 (68.11/col)
read 461157 cycles
matrix is 460957 x 461157 (139.2 MB) with weight 43699323 (94.76/col)
sparse part has weight 31410540 (68.11/col)
saving the first 48 matrix rows for later
matrix is 460909 x 461157 (133.7 MB) with weight 34683440 (75.21/col)
sparse part has weight 30448887 (66.03/col)
matrix includes 64 packed rows
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (4 threads)
memory use: 134.9 MB
linear algebra completed 459370 of 461157 dimensions (99.6%, ETA 0h 0m)
lanczos halted after 7290 iterations (dim = 460906)
recovered 27 nontrivial dependencies
BLanczosTime: 1632

commencing square root phase
reading relations for dependency 1
read 230605 cycles
cycles contain 985785 unique relations
read 985785 relations
multiplying 807772 relations
multiply complete, coefficients have about 36.24 million bits
initial square root is modulo 159773
sqrtTime: 209
prp43 factor: 1099460710064905094872964317328985126416851
prp72 factor: 168984112509748557056357145099368984533273143568828753891708684224898777
elapsed time 00:32:31

Total Sieving time: 08:11:12
software ソフトウェア
Msieve/ ggnfs / factMsieve.pl
execution environment 実行環境
Q6700, Linux

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10184-719

c171

name 名前Jo Yeong Uk
date 日付October 3, 2014 08:31:28 UTC 2014 年 10 月 3 日 (金) 17 時 31 分 28 秒 (日本時間)
composite number 合成数
108838988955643249955194052421153820763599666877358836042319943064349288341767996211897416246705515082552495664277623194094415764417110144073227848618671602602430478199289<171>
prime factors 素因数
16666608060731198666978428169593368146276636075748852251<56>
6530362300418088654941476095527218616589421657634046206371829150076875932254271111338049103930296678789177615836539<115>
factorization results 素因数分解の結果
Number: 58881_184
N=108838988955643249955194052421153820763599666877358836042319943064349288341767996211897416246705515082552495664277623194094415764417110144073227848618671602602430478199289
  ( 171 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=16666608060731198666978428169593368146276636075748852251
 r2=6530362300418088654941476095527218616589421657634046206371829150076875932254271111338049103930296678789177615836539
Version: 
Total time: 103.85 hours.
Scaled time: 545.73 units (timescale=5.255).
Factorization parameters were as follows:
n: 108838988955643249955194052421153820763599666877358836042319943064349288341767996211897416246705515082552495664277623194094415764417110144073227848618671602602430478199289
m: 10000000000000000000000000000000000000
deg: 5
c5: 53
c0: -710
skew: 1.68
# Murphy_E = 4.027e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 9000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 21188976
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1773559 x 1773807
Total sieving time: 96.91 hours.
Total relation processing time: 2.63 hours.
Matrix solve time: 4.17 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 103.85 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 25, 2010 04:47:36 UTC 2010 年 10 月 25 日 (月) 13 時 47 分 36 秒 (日本時間)
403e6539110Ignacio SantosOctober 25, 2010 04:47:36 UTC 2010 年 10 月 25 日 (月) 13 時 47 分 36 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:17 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 17 秒 (日本時間)
129Andreas TeteFebruary 3, 2014 18:18:55 UTC 2014 年 2 月 4 日 (火) 3 時 18 分 55 秒 (日本時間)
4511e61022 / 434232Ignacio SantosOctober 25, 2010 04:47:36 UTC 2010 年 10 月 25 日 (月) 13 時 47 分 36 秒 (日本時間)
230Ignacio SantosFebruary 2, 2014 19:03:51 UTC 2014 年 2 月 3 日 (月) 4 時 3 分 51 秒 (日本時間)
230Ignacio SantosFebruary 2, 2014 23:29:00 UTC 2014 年 2 月 3 日 (月) 8 時 29 分 0 秒 (日本時間)
230Ignacio SantosFebruary 3, 2014 18:33:53 UTC 2014 年 2 月 4 日 (火) 3 時 33 分 53 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:42 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 42 秒 (日本時間)

53×10185-719

c183

name 名前Robert Backstrom
date 日付August 4, 2009 12:54:15 UTC 2009 年 8 月 4 日 (火) 21 時 54 分 15 秒 (日本時間)
composite number 合成数
109887831477680330078165495220916008376355456034500632373369824386805166801434761875142543177624349484771205241442225954261781841554187141050361800501751985237710186394642449876635359<183>
prime factors 素因数
215325522097885785506678338135721202120862759<45>
510333519255213660531524689794452061284434462061881762456420580789577174717938354675826912683331869019878654674813170859867374521644491401<138>
factorization results 素因数分解の結果
Number: n
N=109887831477680330078165495220916008376355456034500632373369824386805166801434761875142543177624349484771205241442225954261781841554187141050361800501751985237710186394642449876635359
  ( 183 digits)
SNFS difficulty: 186 digits.
Divisors found:

Tue Aug 04 22:42:53 2009  prp45 factor: 215325522097885785506678338135721202120862759
Tue Aug 04 22:42:53 2009  prp138 factor: 510333519255213660531524689794452061284434462061881762456420580789577174717938354675826912683331869019878654674813170859867374521644491401
Tue Aug 04 22:42:53 2009  elapsed time 03:07:10 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 125.56 hours.
Scaled time: 333.98 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_5_8_184_1
n: 109887831477680330078165495220916008376355456034500632373369824386805166801434761875142543177624349484771205241442225954261781841554187141050361800501751985237710186394642449876635359
m: 10000000000000000000000000000000000000
deg: 5
c5: 53
c0: -71
skew: 1.06
type: snfs
lss: 1
rlim: 9200000
alim: 9200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 9200000/9200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [4600000, 6800333)
Primes: RFBsize:614917, AFBsize:614931, largePrimes:21290734 encountered
Relations: rels:21649629, finalFF:1102807
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2166378 hash collisions in 23132561 relations
Msieve: matrix is 1494834 x 1495082 (404.5 MB)

Total sieving time: 124.87 hours.
Total relation processing time: 0.69 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,9200000,9200000,28,28,56,56,2.5,2.5,100000
total time: 125.56 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 KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10186-719

c172

name 名前Rich Dickerson
date 日付April 9, 2014 14:26:03 UTC 2014 年 4 月 9 日 (水) 23 時 26 分 3 秒 (日本時間)
composite number 合成数
5861917505336255858770999556932170269300565919396185542011463947565608022309358986241769344465645555032363069131666634816020765156169240101811716089361987037638183825410283<172>
prime factors 素因数
3099447308944650591613477138713202821707<40>
1891278321918695664777134333464307862000581875050907573341326500308707413363978563125866066832649478491856277904323445630603178137569<133>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4212705910
Step 1 took 29865ms
Step 2 took 9840ms
********** Factor found in step 2: 3099447308944650591613477138713202821707
Found probable prime factor of 40 digits: 3099447308944650591613477138713202821707
Probable prime cofactor 1891278321918695664777134333464307862000581875050907573341326500308707413363978563125866066832649478491856277904323445630603178137569 has 133 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, 3.4 GHz, OpenSUSE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 25, 2010 04:48:00 UTC 2010 年 10 月 25 日 (月) 13 時 48 分 0 秒 (日本時間)
403e6410 / 2126110Ignacio SantosOctober 25, 2010 04:48:00 UTC 2010 年 10 月 25 日 (月) 13 時 48 分 0 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:18 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 18 秒 (日本時間)
4511e632 / 4371Ignacio SantosOctober 25, 2010 04:48:00 UTC 2010 年 10 月 25 日 (月) 13 時 48 分 0 秒 (日本時間)

53×10187-719

c144

name 名前Jo Yeong Uk
date 日付May 8, 2017 10:03:03 UTC 2017 年 5 月 8 日 (月) 19 時 3 分 3 秒 (日本時間)
composite number 合成数
515661752437371771905381689782729489905464032743936806211481679383390422180253441083711728713558810985823815998061619303108142880148062676973947<144>
prime factors 素因数
426428515745133381252762803437522370327247290179<48>
1209257198797584787595859912703484885513004961237454306684162333879536223944707805832130156178793<97>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 515661752437371771905381689782729489905464032743936806211481679383390422180253441083711728713558810985823815998061619303108142880148062676973947 (144 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1955507351
Step 1 took 24459ms
Step 2 took 8643ms
********** Factor found in step 2: 426428515745133381252762803437522370327247290179
Found probable prime factor of 48 digits: 426428515745133381252762803437522370327247290179
Probable prime cofactor 1209257198797584787595859912703484885513004961237454306684162333879536223944707805832130156178793 has 97 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e61063 / 4475763Dmitry DomanovAugust 16, 2009 14:28:00 UTC 2009 年 8 月 16 日 (日) 23 時 28 分 0 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:43 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 43 秒 (日本時間)

53×10188-719

c161

composite cofactor 合成数の残り
10978993621490424634350629697424884281858166697298963476910768354373021255698866530489441081824582464147003842256306710929483826442990445380420086276773276605781<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 25, 2010 04:48:23 UTC 2010 年 10 月 25 日 (月) 13 時 48 分 23 秒 (日本時間)
403e61710110Ignacio SantosOctober 25, 2010 04:48:23 UTC 2010 年 10 月 25 日 (月) 13 時 48 分 23 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:18 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 18 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:39 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 39 秒 (日本時間)
4511e6392 / 408332Ignacio SantosOctober 25, 2010 04:48:23 UTC 2010 年 10 月 25 日 (月) 13 時 48 分 23 秒 (日本時間)
360Rich DickersonMay 26, 2014 19:42:25 UTC 2014 年 5 月 27 日 (火) 4 時 42 分 25 秒 (日本時間)

53×10189-719

c180

name 名前Robert Backstrom
date 日付February 15, 2012 21:39:11 UTC 2012 年 2 月 16 日 (木) 6 時 39 分 11 秒 (日本時間)
composite number 合成数
127918516425129744568150812413656317254097300254660781785329962650719472670969681500090380674519311402237102804103763431952558944944391591012695764951382290195173352868138381942201<180>
prime factors 素因数
10313553303167908476634005547699068139631651503643942818358838462788115555562235849226013<89>
12402952955683888768437065024498316965505671752164409386070508532057637458786692702033318477<92>
factorization results 素因数分解の結果
Number: n
N=127918516425129744568150812413656317254097300254660781785329962650719472670969681500090380674519311402237102804103763431952558944944391591012695764951382290195173352868138381942201
  ( 180 digits)
SNFS difficulty: 190 digits.
Divisors found:

Thu Feb 16 05:12:48 2012  prp89 factor: 10313553303167908476634005547699068139631651503643942818358838462788115555562235849226013
Thu Feb 16 05:12:48 2012  prp92 factor: 12402952955683888768437065024498316965505671752164409386070508532057637458786692702033318477
Thu Feb 16 05:12:48 2012  elapsed time 04:11:15 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.661).
Factorization parameters were as follows:
name: KA_58881_189
n: 127918516425129744568150812413656317254097300254660781785329962650719472670969681500090380674519311402237102804103763431952558944944391591012695764951382290195173352868138381942201
m: 10000000000000000000000000000000000000
#  c180, diff: 190.72
skew: 0.17
deg: 5
c5: 530000
c0: -71
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, 21314231)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9104091 hash collisions in 77395310 relations (70453204 unique)
Msieve: matrix is 1583659 x 1583891 (445.5 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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.. 5596.12 BogoMIPS (lpj=2798061)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797563)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.10 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)
Total of 8 processors activated (44761.89 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e6881Dmitry DomanovAugust 20, 2009 05:30:13 UTC 2009 年 8 月 20 日 (木) 14 時 30 分 13 秒 (日本時間)
5043e61035yoyo@homeJanuary 29, 2010 16:29:27 UTC 2010 年 1 月 30 日 (土) 1 時 29 分 27 秒 (日本時間)
5511e72635 / 17345yoyo@homeOctober 5, 2010 00:40:04 UTC 2010 年 10 月 5 日 (火) 9 時 40 分 4 秒 (日本時間)

53×10190-719

c171

name 名前Dmitry Domanov
date 日付August 20, 2009 05:29:49 UTC 2009 年 8 月 20 日 (木) 14 時 29 分 49 秒 (日本時間)
composite number 合成数
224483059903253233171174469226687655507306290611097932988062286018393130682972312311967959166570158161055686074583976806327419182947713103507317625444103559809357158175517<171>
prime factors 素因数
168914326803248671710673803592753171<36>
composite cofactor 合成数の残り
1328975843267167003533199181021679263944069843997313562305346088568990122619806818358213686861743331804899354370025982954624757057766927<136>
factorization results 素因数分解の結果
C171=P36*C136
C171=168914326803248671710673803592753171<36>*1328975843267167003533199181021679263944069843997313562305346088568990122619806818358213686861743331804899354370025982954624757057766927<136>
software ソフトウェア
ECMNET

c136

name 名前Robert Backstrom
date 日付May 10, 2012 14:08:31 UTC 2012 年 5 月 10 日 (木) 23 時 8 分 31 秒 (日本時間)
composite number 合成数
1328975843267167003533199181021679263944069843997313562305346088568990122619806818358213686861743331804899354370025982954624757057766927<136>
prime factors 素因数
1367636984963951639753577153207521555363953<43>
971731430107673147043835061767876569745815441405365732504234542031134687004068231357517112959<93>
factorization results 素因数分解の結果
Number: n
N=1328975843267167003533199181021679263944069843997313562305346088568990122619806818358213686861743331804899354370025982954624757057766927
  ( 136 digits)
Divisors found:

Thu May 10 23:57:18 2012  prp43 factor: 1367636984963951639753577153207521555363953
Thu May 10 23:57:18 2012  prp93 factor: 971731430107673147043835061767876569745815441405365732504234542031134687004068231357517112959
Thu May 10 23:57:18 2012  elapsed time 03:07:47 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.089).
Factorization parameters were as follows:
name: KA_58881_190
n: 1328975843267167003533199181021679263944069843997313562305346088568990122619806818358213686861743331804899354370025982954624757057766927
skew: 465686.73
# norm 1.20e+19
c5: 67680
c4: -24170475852
c3: -153295468766419641
c2: 1345944440158860163388
c1: 7116119368975084305382000876
c0: -5202122571977333071873124949696
# alpha -6.42
Y1: 1226300614394669
Y0: -114448914983007321830924293
# Murphy_E 3.63e-11
# M 19946641408005964924139767440556551217686836108414195806276073857722888682765309015948636756395985985647046970808507332491440129961981
type: gnfs
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 14100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2416546 hash collisions in 24538650 relations (23001034 unique)
Msieve: matrix is 1499339 x 1499564 (438.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,135,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,15000000,15000000,28,28,55,55,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.55 BogoMIPS (lpj=2830779)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830450)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830462)
Total of 4 processors activated (22644.29 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e6818 / 4475Dmitry DomanovAugust 20, 2009 05:28:46 UTC 2009 年 8 月 20 日 (木) 14 時 28 分 46 秒 (日本時間)

53×10193-719

c167

name 名前Dmitry Domanov
date 日付August 18, 2009 10:40:52 UTC 2009 年 8 月 18 日 (火) 19 時 40 分 52 秒 (日本時間)
composite number 合成数
28053114078383520071724859955845915342097394584306645352700501979777689459751704426342762406382542872092835874320203519162974138036125290310538454583957481962526158711<167>
prime factors 素因数
386318917324635401637343670457937<33>
72616464843759242682094782381797010874803934727294295921255817042629723671550851219691527308314086340987245476998440916635306218917703<134>
factorization results 素因数分解の結果
C167=P33*P134
C167=386318917324635401637343670457937<33>*72616464843759242682094782381797010874803934727294295921255817042629723671550851219691527308314086340987245476998440916635306218917703<134>
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10195-719

c189

name 名前Serge Batalov
date 日付April 18, 2009 18:07:55 UTC 2009 年 4 月 19 日 (日) 3 時 7 分 55 秒 (日本時間)
composite number 合成数
131868203940407544456621851058511173592256601531909939480530887555343063629341846764484360601446101059905120031079494490057531783465432555438568554025857020974312106217439765534153420698407<189>
prime factors 素因数
6522546262176896794087564739115713<34>
20217289175101472176634624589120256959714664779605055451404756357758626997987860981678743694952263411707665143615277807384449498161455207993683372278411239<155>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=3935644505
Step 1 took 11044ms
Step 2 took 11361ms
********** Factor found in step 2: 6522546262176896794087564739115713
Found probable prime factor of 34 digits: 6522546262176896794087564739115713
Probable prime cofactor  has 155 digits
software ソフトウェア
GMP-ECM 6.2.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10196-719

c180

name 名前Dmitry Domanov
date 日付August 19, 2009 16:18:00 UTC 2009 年 8 月 20 日 (木) 1 時 18 分 0 秒 (日本時間)
composite number 合成数
143416736575567257736887535151288162288642322098745279115825889211282428386751706862069343716690175855574699343234798334078535522716800289894686269741871014097597056951033123931769<180>
prime factors 素因数
112054989341662601618892514165224888241<39>
1279878186755975199770625717338893764280326490898655144840134732459923961450639607812280526526379705342401644682052605125245400793894469473609<142>
factorization results 素因数分解の結果
C180=P39*P142
C180=112054989341662601618892514165224888241<39>*1279878186755975199770625717338893764280326490898655144840134732459923961450639607812280526526379705342401644682052605125245400793894469473609<142>
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)

53×10198-719

c146

composite cofactor 合成数の残り
55221876710222260402588008998816932401255149589748498226860259232933645489095553747239850670626947536473023677064529630211165055231933982906729977<146>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e61053 / 4475753Dmitry DomanovAugust 16, 2009 14:28:20 UTC 2009 年 8 月 16 日 (日) 23 時 28 分 20 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:43 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 43 秒 (日本時間)

53×10199-719

c184

composite cofactor 合成数の残り
2714696260362570766031337190795123531048862175324846081192150312049088904859352581452966292324796370179861851827146245085427887241614536418759204398902978982143753066120155173012180379<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e6798Dmitry DomanovAugust 16, 2009 14:28:43 UTC 2009 年 8 月 16 日 (日) 23 時 28 分 43 秒 (日本時間)
5043e61060yoyo@homeJanuary 29, 2010 16:55:13 UTC 2010 年 1 月 30 日 (土) 1 時 55 分 13 秒 (日本時間)
5511e72630 / 17341yoyo@homeOctober 5, 2010 01:10:20 UTC 2010 年 10 月 5 日 (火) 10 時 10 分 20 秒 (日本時間)

53×10200-719

c197

name 名前Markus Tervooren
date 日付March 13, 2010 15:59:25 UTC 2010 年 3 月 14 日 (日) 0 時 59 分 25 秒 (日本時間)
composite number 合成数
20227695149551364987767969253903372681925218592686734066873523473667739116164218352244320025036543430388104588633561944453985810081025276985844429941568676841578981516466488815611200799948094970937<197>
prime factors 素因数
3034505345452117268700680317998766514478361928655978367451115957769572858803<76>
6665895375622611920987398511774431994286383426667359548052717579186720130290324269246467364058297937649408474006753108579<121>
factorization results 素因数分解の結果
sieving took ~ 410 cpu-hours

Fri Mar 12 11:52:01 2010  Msieve v. 1.44
Fri Mar 12 11:52:01 2010  random seeds: 51e6093a b7060461
Fri Mar 12 11:52:01 2010  factoring 20227695149551364987767969253903372681925218592686734066873523473667739116164218352244320025036543430388104588633561944453985810081025276985844429941568676841578981516466488815611200799948094970937 (197 digits)
Fri Mar 12 11:52:03 2010  searching for 15-digit factors
Fri Mar 12 11:52:03 2010  commencing number field sieve (197-digit input)
Fri Mar 12 11:52:03 2010  R0: -10000000000000000000000000000000000000000
Fri Mar 12 11:52:03 2010  R1:  1
Fri Mar 12 11:52:03 2010  A0: -71
Fri Mar 12 11:52:03 2010  A1:  0
Fri Mar 12 11:52:03 2010  A2:  0
Fri Mar 12 11:52:03 2010  A3:  0
Fri Mar 12 11:52:03 2010  A4:  0
Fri Mar 12 11:52:03 2010  A5:  53
Fri Mar 12 11:52:03 2010  skew 1.06, size 5.918198e-14, alpha 0.120649, combined = 1.437478e-11
Fri Mar 12 11:52:03 2010
Fri Mar 12 11:52:03 2010  commencing linear algebra
Fri Mar 12 11:52:04 2010  read 2605149 cycles
Fri Mar 12 11:52:05 2010  matrix is 2604971 x 2605149 (780.7 MB) with weight 233369674 (89.58/col)
Fri Mar 12 11:52:05 2010  sparse part has weight 176005207 (67.56/col)
Fri Mar 12 11:52:05 2010  saving the first 48 matrix rows for later
Fri Mar 12 11:52:06 2010  matrix is 2604923 x 2605149 (746.3 MB) with weight 185784778 (71.31/col)
Fri Mar 12 11:52:06 2010  sparse part has weight 169597060 (65.10/col)
Fri Mar 12 11:52:06 2010  matrix includes 64 packed rows
Fri Mar 12 11:52:06 2010  using block size 65536 for processor cache size 4096 kB
Fri Mar 12 11:52:15 2010  commencing Lanczos iteration
Fri Mar 12 11:52:15 2010  memory use: 741.4 MB
Fri Mar 12 11:52:16 2010  restarting at iteration 1459 (dim = 92252)
Fri Mar 12 11:52:32 2010  linear algebra at 3.6%, ETA 14h40m
Sat Mar 13 06:02:05 2010  lanczos halted after 41193 iterations (dim = 2604923)
Sat Mar 13 06:02:11 2010  recovered 35 nontrivial dependencies
Sat Mar 13 06:02:11 2010  BLanczosTime: 65408
Sat Mar 13 06:02:11 2010  elapsed time 18:10:10
Sat Mar 13 15:50:15 2010
Sat Mar 13 15:50:15 2010
Sat Mar 13 15:50:15 2010  Msieve v. 1.44
Sat Mar 13 15:50:15 2010  random seeds: c000cbaf 2eb639a5
Sat Mar 13 15:50:15 2010  factoring 20227695149551364987767969253903372681925218592686734066873523473667739116164218352244320025036543430388104588633561944453985810081025276985844429941568676841578981516466488815611200799948094970937 (197 digits)
Sat Mar 13 15:50:17 2010  searching for 15-digit factors
Sat Mar 13 15:50:17 2010  commencing number field sieve (197-digit input)
Sat Mar 13 15:50:17 2010  R0: -10000000000000000000000000000000000000000
Sat Mar 13 15:50:17 2010  R1:  1
Sat Mar 13 15:50:17 2010  A0: -71
Sat Mar 13 15:50:17 2010  A1:  0
Sat Mar 13 15:50:17 2010  A2:  0
Sat Mar 13 15:50:17 2010  A3:  0
Sat Mar 13 15:50:17 2010  A4:  0
Sat Mar 13 15:50:17 2010  A5:  53
Sat Mar 13 15:50:17 2010  skew 1.06, size 5.918198e-14, alpha 0.120649, combined = 1.437478e-11
Sat Mar 13 15:50:17 2010
Sat Mar 13 15:50:17 2010  commencing square root phase
Sat Mar 13 15:50:17 2010  reading relations for dependency 1
Sat Mar 13 15:50:18 2010  read 1302926 cycles
Sat Mar 13 15:50:20 2010  cycles contain 3918932 unique relations
Sat Mar 13 15:52:32 2010  read 3918932 relations
Sat Mar 13 15:52:59 2010  multiplying 3918932 relations
Sat Mar 13 15:56:05 2010  multiply complete, coefficients have about 116.27 million bits
Sat Mar 13 15:56:06 2010  initial square root is modulo 221702771
Sat Mar 13 16:00:15 2010  reading relations for dependency 2
Sat Mar 13 16:00:16 2010  read 1301500 cycles
Sat Mar 13 16:00:19 2010  cycles contain 3914472 unique relations
Sat Mar 13 16:02:31 2010  read 3914472 relations
Sat Mar 13 16:03:00 2010  multiplying 3914472 relations
Sat Mar 13 16:06:45 2010  multiply complete, coefficients have about 116.14 million bits
Sat Mar 13 16:06:46 2010  initial square root is modulo 217024981
Sat Mar 13 16:11:36 2010  sqrtTime: 1279
Sat Mar 13 16:11:36 2010  prp76 factor: 3034505345452117268700680317998766514478361928655978367451115957769572858803
Sat Mar 13 16:11:36 2010  prp121 factor: 6665895375622611920987398511774431994286383426667359548052717579186720130290324269246467364058297937649408474006753108579
Sat Mar 13 16:11:36 2010  elapsed time 00:21:21

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61318118Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)
1200Dmitry DomanovJuly 5, 2009 13:21:02 UTC 2009 年 7 月 5 日 (日) 22 時 21 分 2 秒 (日本時間)
403e62500Dmitry DomanovJuly 5, 2009 13:21:02 UTC 2009 年 7 月 5 日 (日) 22 時 21 分 2 秒 (日本時間)
4511e60--
5043e61115 / 7451yoyo@homeJanuary 29, 2010 17:25:10 UTC 2010 年 1 月 30 日 (土) 2 時 25 分 10 秒 (日本時間)

53×10201-719

c190

name 名前Serge Batalov
date 日付April 18, 2009 18:08:47 UTC 2009 年 4 月 19 日 (日) 3 時 8 分 47 秒 (日本時間)
composite number 合成数
6963115395496343290398396287530920234815496130798380101869715024332193107005697525664849198799754380119960549398137514779499676800227419694641746390472749304152868486242506090818803641318317<190>
prime factors 素因数
26614080411265630091650323405683<32>
composite cofactor 合成数の残り
261632763104934685678706508770395191162055898507905747696347081652713863042849725984808309953127668896691497252042853273203709573229850203050723384365743227999<159>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1279820415
Step 1 took 11153ms
Step 2 took 11248ms
********** Factor found in step 2: 26614080411265630091650323405683
Found probable prime factor of 32 digits: 26614080411265630091650323405683
Composite cofactor  has 159 digits
software ソフトウェア
GMP-ECM 6.2.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 25, 2010 04:48:49 UTC 2010 年 10 月 25 日 (月) 13 時 48 分 49 秒 (日本時間)
403e61710110Ignacio SantosOctober 25, 2010 04:48:49 UTC 2010 年 10 月 25 日 (月) 13 時 48 分 49 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:19 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 19 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:40 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 40 秒 (日本時間)
4511e6153 / 408332Ignacio SantosOctober 25, 2010 04:48:49 UTC 2010 年 10 月 25 日 (月) 13 時 48 分 49 秒 (日本時間)
121CypJuly 14, 2015 08:03:40 UTC 2015 年 7 月 14 日 (火) 17 時 3 分 40 秒 (日本時間)

53×10202-719

c182

name 名前Dmitry Domanov
date 日付August 20, 2009 05:27:58 UTC 2009 年 8 月 20 日 (木) 14 時 27 分 58 秒 (日本時間)
composite number 合成数
13359605530967436290462124643241504508528804843750021574900578018754367390231585230689764312944076292448023424924555493741837242442949220068742763834820696925447285649430600023808569<182>
prime factors 素因数
779769064987480193874703347294131196204883<42>
composite cofactor 合成数の残り
17132771907515894174556863898939580232543643866401830701290571585218041096109532000936311816177590847856617333605840706370680024403860034243<140>
factorization results 素因数分解の結果
C182=P42*C140
C182=779769064987480193874703347294131196204883<42>*17132771907515894174556863898939580232543643866401830701290571585218041096109532000936311816177590847856617333605840706370680024403860034243<140>
software ソフトウェア
ECMNET

c140

name 名前Sinkiti Sibata
date 日付July 3, 2010 10:41:54 UTC 2010 年 7 月 3 日 (土) 19 時 41 分 54 秒 (日本時間)
composite number 合成数
17132771907515894174556863898939580232543643866401830701290571585218041096109532000936311816177590847856617333605840706370680024403860034243<140>
prime factors 素因数
6591323637634753207302936999088267810917962745645943127107273<61>
2599291561059480945565789772450143848218612000082631326002378848584710013998891<79>
factorization results 素因数分解の結果
Number: 58881_202
N=17132771907515894174556863898939580232543643866401830701290571585218041096109532000936311816177590847856617333605840706370680024403860034243
  ( 140 digits)
Divisors found:
 r1=6591323637634753207302936999088267810917962745645943127107273 (pp61)
 r2=2599291561059480945565789772450143848218612000082631326002378848584710013998891 (pp79)
Version: Msieve v. 1.42
Total time: 18.27 hours.
Scaled time: 18.70 units (timescale=1.024).
Factorization parameters were as follows:
name: 58881_202
# Murphy_E = 1.95e-11, selected by suberi
n: 17132771907515894174556863898939580232543643866401830701290571585218041096109532000936311816177590847856617333605840706370680024403860034243
Y0: -542371533041900103922319385
Y1: 2487646803361819
c0: 1091345189240230991982648889712
c1: -2119335246069741383228972732
c2: -74603759981051354547556
c3: 284458217716541597
c4: 502512830474
c5: 365040
skew: 318959.83
type: gnfs
# selected mechanically
rlim: 17400000
alim: 17400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 17400000/17400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [8700000, 16700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2444819 x 2445043
Total sieving time: 0.00 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 16.63 hours.
Time per square root: 1.39 hours.
Prototype def-par.txt line would be:
gnfs,139,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,17400000,17400000,28,28,55,55,2.6,2.6,100000
total time: 18.27 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 3057976k/3145344k available (3786k kernel code, 496k absent, 86872k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4787.48 BogoMIPS (lpj=2393740)
Calibrating delay using timer specific routine.. 4787.75 BogoMIPS (lpj=2393878)
Calibrating delay using timer specific routine.. 4787.77 BogoMIPS (lpj=2393888)
Calibrating delay using timer specific routine.. 4787.77 BogoMIPS (lpj=2393885)
Total of 4 processors activated (19150.78 BogoMIPS).

Total time: 16 days 12 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e64475937Dmitry DomanovAugust 20, 2009 05:27:13 UTC 2009 年 8 月 20 日 (木) 14 時 27 分 13 秒 (日本時間)
3538Wataru SakaiMay 28, 2010 10:20:03 UTC 2010 年 5 月 28 日 (金) 19 時 20 分 3 秒 (日本時間)

53×10203-719

c188

composite cofactor 合成数の残り
16059546651026268964409668584363046059215680836044311617331816381178824260303526325882771570296720082072128691536388982341201675338378757626417872870862967434248703998682944274217935072013<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e6730Dmitry DomanovAugust 20, 2009 05:15:47 UTC 2009 年 8 月 20 日 (木) 14 時 15 分 47 秒 (日本時間)
5043e61080yoyo@homeFebruary 2, 2010 04:15:33 UTC 2010 年 2 月 2 日 (火) 13 時 15 分 33 秒 (日本時間)
5511e72630 / 17338yoyo@homeOctober 5, 2010 04:40:12 UTC 2010 年 10 月 5 日 (火) 13 時 40 分 12 秒 (日本時間)

53×10205-719

c183

name 名前Jamoko
date 日付October 12, 2010 03:03:53 UTC 2010 年 10 月 12 日 (火) 12 時 3 分 53 秒 (日本時間)
composite number 合成数
223103406576893344840832483187747260373739760953197885928929118918649571911005160865635235740940658653077239420787254389564395389022273970774569240498212974399534752796423971622962413<183>
prime factors 素因数
38890602599868190564621649574538065154223681893737437<53>
5736691942583823449594066954210646466721732505485509130873380197100488136359317213303544868719719524663202099815154059597509844049<130>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 223103406576893344840832483187747260373739760953197885928929118918649571911005160865635235740940658653077239420787254389564395389022273970774569240498212974399534752796423971622962413 (183 digits)
[Mon Oct 11 15:41:14 2010]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=3731845005
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
20    25      30      35      40      45      50      55      60      65
2       4       10      34      135     613     3133    17769   111196  751771
Step 1 took 493759ms
Using 23 small primes for NTT
Estimated memory usage: 522M
Initializing tables of differences for F took 312ms
Computing roots of F took 25054ms
Building F from its roots took 17020ms
Computing 1/F took 7738ms
Initializing table of differences for G took 280ms
Computing roots of G took 21185ms
Building G from its roots took 15663ms
Computing roots of G took 21217ms
Building G from its roots took 15756ms
Computing G * H took 4336ms
Reducing  G * H mod F took 4119ms
Computing roots of G took 21122ms
Building G from its roots took 15710ms
Computing G * H took 4337ms
Reducing  G * H mod F took 4181ms
Computing roots of G took 21294ms
Building G from its roots took 15538ms
Computing G * H took 4322ms
Reducing  G * H mod F took 4087ms
Computing polyeval(F,G) took 29141ms
Computing product of all F(g_i) took 125ms
Step 2 took 253517ms
********** Factor found in step 2: 38890602599868190564621649574538065154223681893737437
Found probable prime factor of 53 digits: 38890602599868190564621649574538065154223681893737437
Probable prime cofactor 5736691942583823449594066954210646466721732505485509130873380197100488136359317213303544868719719524663202099815154059597509844049 has 130 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
351e6118Makoto KamadaApril 16, 2009 14:00:00 UTC 2009 年 4 月 16 日 (木) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e6684Dmitry DomanovAugust 20, 2009 05:15:28 UTC 2009 年 8 月 20 日 (木) 14 時 15 分 28 秒 (日本時間)
5043e61095 / 1963yoyo@homeFebruary 2, 2010 07:26:51 UTC 2010 年 2 月 2 日 (火) 16 時 26 分 51 秒 (日本時間)
5511e72255 / 17336yoyo@homeOctober 11, 2010 00:40:25 UTC 2010 年 10 月 11 日 (月) 9 時 40 分 25 秒 (日本時間)

53×10206-719

c169

composite cofactor 合成数の残り
8449967430884347989475626348947671968724318032565180599893076125554274067691741435726769202714309273644963828208614733922238445536684642611331426359590773335768558583119<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:24:46 UTC 2014 年 1 月 7 日 (火) 5 時 24 分 46 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:50:20 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 20 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:40 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 40 秒 (日本時間)
4511e6145 / 4084CypJuly 3, 2015 22:48:52 UTC 2015 年 7 月 4 日 (土) 7 時 48 分 52 秒 (日本時間)

53×10207-719

c149

name 名前Serge Batalov
date 日付May 26, 2014 18:10:17 UTC 2014 年 5 月 27 日 (火) 3 時 10 分 17 秒 (日本時間)
composite number 合成数
43104285308356625020330611681981175303621528954349205806027933758750652197731915212319458371645060702036609312032964453778414693340471309210528731989<149>
prime factors 素因数
90705977533693966428569268376688123<35>
509189635111823002172002762789805207<36>
933265015001111635350710399242583599060595601500840677301339666502101332121449<78>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1008905983
Step 1 took 10900ms
Step 2 took 4984ms
********** Factor found in step 2: 509189635111823002172002762789805207
Found probable prime factor of 36 digits: 509189635111823002172002762789805207

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1311436215
Step 1 took 9808ms
********** Factor found in step 1: 90705977533693966428569268376688123
Found probable prime factor of 35 digits: 90705977533693966428569268376688123

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61890 / 2318290CypJanuary 1, 2014 08:09:29 UTC 2014 年 1 月 1 日 (水) 17 時 9 分 29 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:20 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 20 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:41 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 41 秒 (日本時間)

53×10208-719

c203

name 名前Cyp
date 日付January 3, 2014 23:00:45 UTC 2014 年 1 月 4 日 (土) 8 時 0 分 45 秒 (日本時間)
composite number 合成数
52095481778524020980914672810394955506035359857403854102376664684089558227365717260913929712579397691698349074523766204520767274050837523333615435281832133220531871278551887148998090848032859864038656027<203>
prime factors 素因数
28263562633162128421834460097029443<35>
1843202941351756141750676717538014590914209160756014943721741066486468107429610790972089682564712903176768962064809701173159237915055778751489514893925259971787093129289<169>
factorization results 素因数分解の結果
Run 18 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3180986952
Step 1 took 18793ms
Step 2 took 6356ms
********** Factor found in step 2: 28263562633162128421834460097029443
Found probable prime factor of 35 digits: 28263562633162128421834460097029443
Probable prime cofactor 1843202941351756141750676717538014590914209160756014943721741066486468107429610790972089682564712903176768962064809701173159237915055778751489514893925259971787093129289 has 169 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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 854Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e618 / 2318CypJanuary 3, 2014 23:00:44 UTC 2014 年 1 月 4 日 (土) 8 時 0 分 44 秒 (日本時間)

53×10209-719

c209

name 名前Serge Batalov
date 日付October 27, 2013 20:54:47 UTC 2013 年 10 月 28 日 (月) 5 時 54 分 47 秒 (日本時間)
composite number 合成数
34640522875816993464052287581699346405228758169934640522875816993464052287581699346405228758169934640522875816993464052287581699346405228758169934640522875816993464052287581699346405228758169934640522875816993<209>
prime factors 素因数
126093122000899602623198916245997821<36>
composite cofactor 合成数の残り
274721747912386950487121041289321628965335700331942136615589864345417253493894606147963494622168586799471015871999506842142921061341303762462159167967820084961209302172850933<174>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1047034051
Step 1 took 16625ms
Step 2 took 12709ms
********** Factor found in step 2: 126093122000899602623198916245997821
Found probable prime factor of 36 digits: 126093122000899602623198916245997821
Composite cofactor 274721747912386950487121041289321628965335700331942136615589864345417253493894606147963494622168586799471015871999506842142921061341303762462159167967820084961209302172850933 has 174 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6590290CypDecember 31, 2013 20:45:24 UTC 2014 年 1 月 1 日 (水) 5 時 45 分 24 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:21 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 21 秒 (日本時間)
4511e6300 / 3682Serge BatalovMay 27, 2014 00:33:43 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 43 秒 (日本時間)
5043e6189 / 7463CypFebruary 9, 2014 22:08:15 UTC 2014 年 2 月 10 日 (月) 7 時 8 分 15 秒 (日本時間)

53×10211-719

c169

composite cofactor 合成数の残り
6713179817392035199355634473378325489397705064010469300562473564409062347826621101448239735734284053757952116837209607047035855655230566406443674795610579166452530150467<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 1, 2014 21:37:19 UTC 2014 年 1 月 2 日 (木) 6 時 37 分 19 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:22 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 22 秒 (日本時間)
4511e6300 / 3682Serge BatalovMay 27, 2014 00:33:44 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 44 秒 (日本時間)
5043e6189 / 746339CypJanuary 12, 2014 12:15:20 UTC 2014 年 1 月 12 日 (日) 21 時 15 分 20 秒 (日本時間)
150CypFebruary 12, 2014 02:06:12 UTC 2014 年 2 月 12 日 (水) 11 時 6 分 12 秒 (日本時間)

53×10212-719

c207

composite cofactor 合成数の残り
552496497120085947606027465747562682551879160468020825156645787511306632324318362658909198868612267444581734611747680895953338439234923699712524605639988487223935482586404979306921290410818673672739228637749<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61890290CypJanuary 1, 2014 23:07:08 UTC 2014 年 1 月 2 日 (木) 8 時 7 分 8 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:22 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 22 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:41 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 41 秒 (日本時間)
4511e6124 / 4057CypJune 19, 2015 06:23:00 UTC 2015 年 6 月 19 日 (金) 15 時 23 分 0 秒 (日本時間)

53×10214-719

c192

name 名前Cyp
date 日付January 5, 2014 20:27:45 UTC 2014 年 1 月 6 日 (月) 5 時 27 分 45 秒 (日本時間)
composite number 合成数
570983546905293020473603700840932901999130191305320561546019430640684779346865430295009707485735117433880190468197923285649436588851636050735338547450353561255508454241172727841030283731247969<192>
prime factors 素因数
142310292915120902745028400179286447<36>
composite cofactor 合成数の残り
4012243494192290266929449619250321020974352546058802613425248682062951095194072712916122267243745399045607101332273273719572828438843626272665315747866783727<157>
factorization results 素因数分解の結果
Run 54 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2356929567
Step 1 took 16058ms
Step 2 took 5624ms
********** Factor found in step 2: 142310292915120902745028400179286447
Found probable prime factor of 36 digits: 142310292915120902745028400179286447
Composite cofactor 4012243494192290266929449619250321020974352546058802613425248682062951095194072712916122267243745399045607101332273273719572828438843626272665315747866783727 has 157 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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6290CypJanuary 5, 2014 20:27:44 UTC 2014 年 1 月 6 日 (月) 5 時 27 分 44 秒 (日本時間)
4511e6898 / 4411598CypJanuary 8, 2014 10:23:04 UTC 2014 年 1 月 8 日 (水) 19 時 23 分 4 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:44 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 44 秒 (日本時間)

53×10219-719

c167

composite cofactor 合成数の残り
84428631316366647273557704037927152039913463446598699568429696242533464612432546493259832563241131726382228313050379055890011652579147378500737196547706862879891352681<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 3, 2014 09:16:54 UTC 2014 年 1 月 3 日 (金) 18 時 16 分 54 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:23 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 23 秒 (日本時間)
4511e6801 / 4345501CypMarch 9, 2014 05:24:21 UTC 2014 年 3 月 9 日 (日) 14 時 24 分 21 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:45 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 45 秒 (日本時間)

53×10220-719

c205

composite cofactor 合成数の残り
1584355400034748908521975211621330474007692006820542680715910581682987182220791147251601738244643911092753771820467985117959494529484482941596088067842201468214542485237300941745504739311352254139959578637<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61890290CypJanuary 1, 2014 15:17:54 UTC 2014 年 1 月 2 日 (木) 0 時 17 分 54 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:23 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 23 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:41 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 41 秒 (日本時間)
4511e6124 / 4057CypMay 22, 2015 01:15:47 UTC 2015 年 5 月 22 日 (金) 10 時 15 分 47 秒 (日本時間)

53×10222-719

c193

composite cofactor 合成数の残り
5250098954733442313390140420331319828110971711524809511930949779242356601639637818198920940692083423416769959653957641853335078229567768206515753798638278202997599713854698656487767853575478489<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:24:47 UTC 2014 年 1 月 7 日 (火) 5 時 24 分 47 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:50:24 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 24 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:42 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 42 秒 (日本時間)
4511e6145 / 4084CypMay 30, 2015 08:40:42 UTC 2015 年 5 月 30 日 (土) 17 時 40 分 42 秒 (日本時間)

53×10223-719

c212

composite cofactor 合成数の残り
41883332718986234305303238097219258881236675311034192772794932275009677124029381653923991379012642095521296566991162052929915351486220723853613489937678208049407816853012146101471112024520441012542340713716191259<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 1, 2014 22:35:52 UTC 2014 年 1 月 2 日 (木) 7 時 35 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:25 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 25 秒 (日本時間)
4511e6898 / 4345598CypJanuary 9, 2014 08:38:58 UTC 2014 年 1 月 9 日 (木) 17 時 38 分 58 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:45 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 45 秒 (日本時間)

53×10224-719

c207

composite cofactor 合成数の残り
606793880927172199836014017786962263520983964963710655976291282702844370587410540074142989543854020836346679560273627072926315547915786520155493158713795532710864039199963317363156379614746787852318229684679<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:24:48 UTC 2014 年 1 月 7 日 (火) 5 時 24 分 48 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:50:26 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 26 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:42 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 42 秒 (日本時間)
4511e6145 / 4084CypJune 29, 2015 12:01:35 UTC 2015 年 6 月 29 日 (月) 21 時 1 分 35 秒 (日本時間)

53×10226-719

c225

composite cofactor 合成数の残り
190578928443006112909025530384753685724559510967277957569219705142035239122617763394462423588637180870190578928443006112909025530384753685724559510967277957569219705142035239122617763394462423588637180870190578928443006112909<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e65250850Serge BatalovNovember 8, 2013 17:15:43 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 43 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:39 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 39 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:11 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 11 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:51 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 51 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:46 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 46 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 00:18:46 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 46 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:24:43 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 43 秒 (日本時間)

53×10228-719

c169

name 名前Cyp
date 日付January 1, 2014 07:33:28 UTC 2014 年 1 月 1 日 (水) 16 時 33 分 28 秒 (日本時間)
composite number 合成数
8175299006104540482013072128056593210151067503259007431202805310951159174776417871193228039765918482376700191216345683287198184328675332973822908622485368363705344088023<169>
prime factors 素因数
806753529393695866592572924011151<33>
10133576995006851845182679782625849598140988874262764668542118608907928137081502198107971005504837878880501058025814778948736372801174073<137>
factorization results 素因数分解の結果
Run 81 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2634922576
Step 1 took 13650ms
Step 2 took 5020ms
********** Factor found in step 2: 806753529393695866592572924011151
Found probable prime factor of 33 digits: 806753529393695866592572924011151
Probable prime cofactor 10133576995006851845182679782625849598140988874262764668542118608907928137081502198107971005504837878880501058025814778948736372801174073 has 137 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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 677Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e681 / 2318CypJanuary 1, 2014 07:33:27 UTC 2014 年 1 月 1 日 (水) 16 時 33 分 27 秒 (日本時間)

53×10229-719

c195

name 名前Serge Batalov
date 日付May 19, 2014 02:27:14 UTC 2014 年 5 月 19 日 (月) 11 時 27 分 14 秒 (日本時間)
composite number 合成数
109009693081625863254147273825621937922612829958558832887878441891318525842904395629504122566590801633121164868941788231928348519197405275279673531286730911445098085550244702340040939212388068059<195>
prime factors 素因数
879476479793727957130162628396071878177431<42>
123948389281761066221716336812850451095725162297782187592341204336609727089445555558772545930465753549232667491451946369153584560934906727727458111325789<153>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3161167232
Step 1 took 19321ms
Step 2 took 12836ms
********** Factor found in step 2: 879476479793727957130162628396071878177431
Found probable prime factor of 42 digits: 879476479793727957130162628396071878177431
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6590 / 2318290CypJanuary 6, 2014 14:34:59 UTC 2014 年 1 月 6 日 (月) 23 時 34 分 59 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:27 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 27 秒 (日本時間)

53×10231-719

c228

composite cofactor 合成数の残り
164296763353761930889961467759085146022623354319919897578017713051052894257983117732580668160837231506539321175372845154950447476184719161032527659205113659260912560022567555419158242582621122363889431378201849423566355742791867<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e65250850Serge BatalovNovember 8, 2013 17:16:04 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 4 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:55 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 55 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:11 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 11 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:00 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 0 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:46 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 46 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 00:18:49 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 49 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:24:46 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 46 秒 (日本時間)

53×10232-719

c188

composite cofactor 合成数の残り
28666855300857586749963819559620108665619005513200258209245590755765398549798605883108276286281979361028444593353573190871292576286722942615068226869218009589086615919832899171362722288731<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:24:50 UTC 2014 年 1 月 7 日 (火) 5 時 24 分 50 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:50:28 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 28 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:42 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 42 秒 (日本時間)
4511e6145 / 4084CypJuly 14, 2015 05:43:32 UTC 2015 年 7 月 14 日 (火) 14 時 43 分 32 秒 (日本時間)

53×10233-719

c216

name 名前Serge Batalov
date 日付May 27, 2014 08:10:00 UTC 2014 年 5 月 27 日 (火) 17 時 10 分 0 秒 (日本時間)
composite number 合成数
730407273679721065140303896865888667003886203503349791275491785956420896937952197148617068049636267167590819725906462638429568756363572255397609375059912954232598364267884287074535788925054944001928285110015505233591<216>
prime factors 素因数
268389420384873783938667315447273234845329<42>
composite cofactor 合成数の残り
2721445847724950946062731588846489382015117054768100802652149851495239855770440565261108179628964620997589456040593534839290515925478335510888724008969545940010156881770849479<175>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=4226501823
Step 1 took 78791ms
Step 2 took 37974ms
********** Factor found in step 2: 268389420384873783938667315447273234845329
Found probable prime factor of 42 digits: 268389420384873783938667315447273234845329
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 4, 2014 21:23:58 UTC 2014 年 1 月 5 日 (日) 6 時 23 分 58 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:28 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 28 秒 (日本時間)
4511e6300 / 3682Serge BatalovMay 27, 2014 00:33:46 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 46 秒 (日本時間)
5043e6189 / 7463CypFebruary 9, 2014 04:20:58 UTC 2014 年 2 月 9 日 (日) 13 時 20 分 58 秒 (日本時間)

53×10234-719

c210

name 名前Cyp
date 日付January 6, 2014 14:14:27 UTC 2014 年 1 月 6 日 (月) 23 時 14 分 27 秒 (日本時間)
composite number 合成数
463808967582188828607717340543467789841800364770780761012459628351120724811974506467688336897600435717759847632779837516490799334724702331825199566201683379084414974778929576025556428678851656512167074499425519<210>
prime factors 素因数
339397717700284614754489893609631<33>
1366564780473183140996202492044912197008134598522040714503430543582716865076656917383138488234621300673549013474667370386688016016955568294960270644344662178510101307525926025649<178>
factorization results 素因数分解の結果
Run 51 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=63261412
Step 1 took 18639ms
********** Factor found in step 1: 339397717700284614754489893609631
Found probable prime factor of 33 digits: 339397717700284614754489893609631
Probable prime cofactor 1366564780473183140996202492044912197008134598522040714503430543582716865076656917383138488234621300673549013474667370386688016016955568294960270644344662178510101307525926025649 has 178 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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 761Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e651 / 2318CypJanuary 6, 2014 14:14:26 UTC 2014 年 1 月 6 日 (月) 23 時 14 分 26 秒 (日本時間)

53×10235-719

c232

composite cofactor 合成数の残り
2248268197185846939597941774095708352952654865379639174164429003508146790703198903863203485239907184701595422016908673649024124341957350776500931122394872251704229713621535864119760580647077039242885079559000072114262928602637685217<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e65250850Serge BatalovNovember 8, 2013 17:16:57 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 57 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:34 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 34 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:12 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 12 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:15 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 15 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:47 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 47 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 00:18:55 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 55 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 01:48:43 UTC 2014 年 12 月 18 日 (木) 10 時 48 分 43 秒 (日本時間)

53×10236-719

c222

name 名前Cyp
date 日付January 5, 2014 09:04:52 UTC 2014 年 1 月 5 日 (日) 18 時 4 分 52 秒 (日本時間)
composite number 合成数
101576546107284250910686007258088431403202398462298249327216979114125272599557656469815889174836290323839675479018494111589999515796921796720746729458487640908176324496382609349662717584508209471732496140505290544923324293<222>
prime factors 素因数
275412252873500646323664980344451<33>
368816365457564746643000376766341972507540716772645725915820650135485048164768334371088656204661532020520201899296415868823632456129392041557115464487211197463499630351405788134888464857943<189>
factorization results 素因数分解の結果
Run 259 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=277117633
Step 1 took 21794ms
Step 2 took 6911ms
********** Factor found in step 2: 275412252873500646323664980344451
Found probable prime factor of 33 digits: 275412252873500646323664980344451
Probable prime cofactor 368816365457564746643000376766341972507540716772645725915820650135485048164768334371088656204661532020520201899296415868823632456129392041557115464487211197463499630351405788134888464857943 has 189 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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 177Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6259 / 2318CypJanuary 5, 2014 09:04:50 UTC 2014 年 1 月 5 日 (日) 18 時 4 分 50 秒 (日本時間)

53×10237-719

c238

name 名前Serge Batalov
date 日付February 23, 2014 23:14:53 UTC 2014 年 2 月 24 日 (月) 8 時 14 分 53 秒 (日本時間)
composite number 合成数
5888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<238>
prime factors 素因数
11796897091962038645836986962921480389951859<44>
composite cofactor 合成数の残り
499189646479272585643523034092915925786517768301850426345591587998876236380675591237113244772399140811954737284053961887858980362113767965955311815095309312951667431960661541856330680300234438859<195>
factorization results 素因数分解の結果
Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=76041713
Step 1 took 300932ms
Step 2 took 150408ms
********** Factor found in step 2: 11796897091962038645836986962921480389951859
Found probable prime factor of 44 digits: 11796897091962038645836986962921480389951859
Composite cofactor 

c195

name 名前Serge Batalov
date 日付February 24, 2014 15:18:55 UTC 2014 年 2 月 25 日 (火) 0 時 18 分 55 秒 (日本時間)
composite number 合成数
499189646479272585643523034092915925786517768301850426345591587998876236380675591237113244772399140811954737284053961887858980362113767965955311815095309312951667431960661541856330680300234438859<195>
prime factors 素因数
3080354615618365685495471291308975489265445299<46>
162055902248469784236533730584911606026903011946030357655554805160989881737200582566292146648594381906498104038238933443252173319086570120917738338441<150>
factorization results 素因数分解の結果
Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=116767916
Step 1 took 329628ms
Step 2 took 175415ms
********** Factor found in step 2: 3080354615618365685495471291308975489265445299
Found probable prime factor of 46 digits: 3080354615618365685495471291308975489265445299

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e62050 / 3423850Serge BatalovNovember 8, 2013 17:17:11 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 11 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:47 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 47 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:12 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 12 秒 (日本時間)
5043e6300 / 7093Serge BatalovFebruary 23, 2014 23:14:33 UTC 2014 年 2 月 24 日 (月) 8 時 14 分 33 秒 (日本時間)

53×10240-719

c167

name 名前Ignacio Santos
date 日付October 28, 2013 19:06:59 UTC 2013 年 10 月 29 日 (火) 4 時 6 分 59 秒 (日本時間)
composite number 合成数
24812322860113453429072551013885249280067474294104948603651514773046243517744360840678965685973534075850033391708251885403834370566228748048684527938276294021501885373<167>
prime factors 素因数
1742617105484097253524953394593462819<37>
composite cofactor 合成数の残り
14238539712497895778456931962184747070633309938779898152015839835842264991012509644691987217141021221394968513504780278511547793567<131>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1781124884
Step 1 took 37438ms
********** Factor found in step 1: 1742617105484097253524953394593462819
Found probable prime factor of 37 digits: 1742617105484097253524953394593462819
Composite cofactor 14238539712497895778456931962184747070633309938779898152015839835842264991012509644691987217141021221394968513504780278511547793567 has 131 digits
software ソフトウェア
GMP-ECM 7.0

c131

name 名前Cyp
date 日付January 27, 2014 11:25:45 UTC 2014 年 1 月 27 日 (月) 20 時 25 分 45 秒 (日本時間)
composite number 合成数
14238539712497895778456931962184747070633309938779898152015839835842264991012509644691987217141021221394968513504780278511547793567<131>
prime factors 素因数
798659244158718217681734564349457396648355289<45>
17828053474165083233297922135275933027392613254822771775341629387345512080317150869303<86>
factorization results 素因数分解の結果
01/26/14 16:02:52 v1.34.3, 
01/26/14 16:02:52 v1.34.3, ****************************
01/26/14 16:02:52 v1.34.3, Starting factorization of 14238539712497895778456931962184747070633309938779898152015839835842264991012509644691987217141021221394968513504780278511547793567
01/26/14 16:02:52 v1.34.3, using pretesting plan: none
01/26/14 16:02:52 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/26/14 16:02:52 v1.34.3, ****************************
01/26/14 16:02:52 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C131
01/26/14 16:02:52 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C131
01/26/14 16:02:52 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C131
01/26/14 16:02:52 v1.34.3, final ECM pretested depth: 0.00
01/26/14 16:02:52 v1.34.3, scheduler: switching to sieve method
01/26/14 16:02:52 v1.34.3, nfs: commencing nfs on c131: 14238539712497895778456931962184747070633309938779898152015839835842264991012509644691987217141021221394968513504780278511547793567
01/26/14 16:02:52 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/26/14 16:02:52 v1.34.3, nfs: commencing lattice sieving with 6 threads
01/26/14 16:20:37 v1.34.3, nfs: commencing lattice sieving with 6 threads
[62 lines snipped]
01/27/14 10:52:30 v1.34.3, nfs: commencing lattice sieving with 6 threads
01/27/14 11:11:27 v1.34.3, nfs: commencing lattice sieving with 6 threads
01/27/14 11:29:38 v1.34.3, nfs: commencing msieve filtering
01/27/14 11:34:29 v1.34.3, nfs: commencing msieve linear algebra
01/27/14 12:22:16 v1.34.3, nfs: commencing msieve sqrt
01/27/14 12:25:44 v1.34.3, prp86 = 17828053474165083233297922135275933027392613254822771775341629387345512080317150869303
01/27/14 12:25:44 v1.34.3, prp45 = 798659244158718217681734564349457396648355289
01/27/14 12:25:44 v1.34.3, NFS elapsed time = 73371.3645 seconds.
01/27/14 12:25:44 v1.34.3, 
01/27/14 12:25:44 v1.34.3, 
01/27/14 12:25:44 v1.34.3, Total factoring time = 73371.3923 seconds
--
Mon Jan 27 11:29:38 2014  
Mon Jan 27 11:29:38 2014  commencing relation filtering
Mon Jan 27 11:29:38 2014  estimated available RAM is 15988.7 MB
Mon Jan 27 11:29:38 2014  commencing duplicate removal, pass 1
Mon Jan 27 11:30:53 2014  found 2893519 hash collisions in 21084312 relations
Mon Jan 27 11:31:12 2014  added 120016 free relations
Mon Jan 27 11:31:12 2014  commencing duplicate removal, pass 2
Mon Jan 27 11:31:33 2014  found 1932513 duplicates and 19271815 unique relations
Mon Jan 27 11:31:33 2014  memory use: 82.6 MB
Mon Jan 27 11:31:33 2014  reading ideals above 720000
Mon Jan 27 11:31:33 2014  commencing singleton removal, initial pass
Mon Jan 27 11:33:28 2014  memory use: 376.5 MB
Mon Jan 27 11:33:28 2014  reading all ideals from disk
Mon Jan 27 11:33:28 2014  memory use: 593.7 MB
Mon Jan 27 11:33:29 2014  keeping 20031351 ideals with weight <= 200, target excess is 119841
Mon Jan 27 11:33:30 2014  commencing in-memory singleton removal
Mon Jan 27 11:33:31 2014  begin with 19271815 relations and 20031351 unique ideals
Mon Jan 27 11:33:41 2014  reduce to 8490152 relations and 7591478 ideals in 18 passes
Mon Jan 27 11:33:41 2014  max relations containing the same ideal: 114
Mon Jan 27 11:33:44 2014  removing 1982600 relations and 1602771 ideals in 379829 cliques
Mon Jan 27 11:33:44 2014  commencing in-memory singleton removal
Mon Jan 27 11:33:45 2014  begin with 6507552 relations and 7591478 unique ideals
Mon Jan 27 11:33:49 2014  reduce to 6134021 relations and 5593751 ideals in 13 passes
Mon Jan 27 11:33:49 2014  max relations containing the same ideal: 93
Mon Jan 27 11:33:51 2014  removing 1554244 relations and 1174415 ideals in 379829 cliques
Mon Jan 27 11:33:51 2014  commencing in-memory singleton removal
Mon Jan 27 11:33:51 2014  begin with 4579777 relations and 5593751 unique ideals
Mon Jan 27 11:33:53 2014  reduce to 4263821 relations and 4082912 ideals in 10 passes
Mon Jan 27 11:33:53 2014  max relations containing the same ideal: 73
Mon Jan 27 11:33:54 2014  removing 282790 relations and 240897 ideals in 41893 cliques
Mon Jan 27 11:33:55 2014  commencing in-memory singleton removal
Mon Jan 27 11:33:55 2014  begin with 3981031 relations and 4082912 unique ideals
Mon Jan 27 11:33:56 2014  reduce to 3968899 relations and 3829765 ideals in 7 passes
Mon Jan 27 11:33:56 2014  max relations containing the same ideal: 70
Mon Jan 27 11:33:58 2014  relations with 0 large ideals: 499
Mon Jan 27 11:33:58 2014  relations with 1 large ideals: 1859
Mon Jan 27 11:33:58 2014  relations with 2 large ideals: 28557
Mon Jan 27 11:33:58 2014  relations with 3 large ideals: 176672
Mon Jan 27 11:33:58 2014  relations with 4 large ideals: 569758
Mon Jan 27 11:33:58 2014  relations with 5 large ideals: 1037972
Mon Jan 27 11:33:58 2014  relations with 6 large ideals: 1121390
Mon Jan 27 11:33:58 2014  relations with 7+ large ideals: 1032192
Mon Jan 27 11:33:58 2014  commencing 2-way merge
Mon Jan 27 11:33:59 2014  reduce to 2336262 relation sets and 2197128 unique ideals
Mon Jan 27 11:33:59 2014  commencing full merge
Mon Jan 27 11:34:20 2014  memory use: 268.8 MB
Mon Jan 27 11:34:21 2014  found 1216106 cycles, need 1197328
Mon Jan 27 11:34:21 2014  weight of 1197328 cycles is about 84194859 (70.32/cycle)
Mon Jan 27 11:34:21 2014  distribution of cycle lengths:
Mon Jan 27 11:34:21 2014  1 relations: 149037
Mon Jan 27 11:34:21 2014  2 relations: 134725
Mon Jan 27 11:34:21 2014  3 relations: 132706
Mon Jan 27 11:34:21 2014  4 relations: 122845
Mon Jan 27 11:34:21 2014  5 relations: 115538
Mon Jan 27 11:34:21 2014  6 relations: 101809
Mon Jan 27 11:34:21 2014  7 relations: 90259
Mon Jan 27 11:34:21 2014  8 relations: 78137
Mon Jan 27 11:34:21 2014  9 relations: 65572
Mon Jan 27 11:34:21 2014  10+ relations: 206700
Mon Jan 27 11:34:21 2014  heaviest cycle: 19 relations
Mon Jan 27 11:34:21 2014  commencing cycle optimization
Mon Jan 27 11:34:22 2014  start with 6856478 relations
Mon Jan 27 11:34:28 2014  pruned 160184 relations
Mon Jan 27 11:34:28 2014  memory use: 230.1 MB
Mon Jan 27 11:34:28 2014  distribution of cycle lengths:
Mon Jan 27 11:34:28 2014  1 relations: 149037
Mon Jan 27 11:34:28 2014  2 relations: 137695
Mon Jan 27 11:34:28 2014  3 relations: 136957
Mon Jan 27 11:34:28 2014  4 relations: 125803
Mon Jan 27 11:34:28 2014  5 relations: 118548
Mon Jan 27 11:34:28 2014  6 relations: 103374
Mon Jan 27 11:34:28 2014  7 relations: 91715
Mon Jan 27 11:34:28 2014  8 relations: 78317
Mon Jan 27 11:34:28 2014  9 relations: 65059
Mon Jan 27 11:34:28 2014  10+ relations: 190823
Mon Jan 27 11:34:28 2014  heaviest cycle: 19 relations
Mon Jan 27 11:34:29 2014  RelProcTime: 291
Mon Jan 27 11:34:29 2014  
Mon Jan 27 11:34:29 2014  commencing linear algebra
Mon Jan 27 11:34:29 2014  read 1197328 cycles
Mon Jan 27 11:34:31 2014  cycles contain 3863403 unique relations
Mon Jan 27 11:34:56 2014  read 3863403 relations
Mon Jan 27 11:34:59 2014  using 20 quadratic characters above 268433172
Mon Jan 27 11:35:12 2014  building initial matrix
Mon Jan 27 11:35:36 2014  memory use: 489.1 MB
Mon Jan 27 11:35:37 2014  read 1197328 cycles
Mon Jan 27 11:35:37 2014  matrix is 1197158 x 1197328 (358.8 MB) with weight 112458038 (93.92/col)
Mon Jan 27 11:35:37 2014  sparse part has weight 80880069 (67.55/col)
Mon Jan 27 11:35:46 2014  filtering completed in 2 passes
Mon Jan 27 11:35:46 2014  matrix is 1196372 x 1196548 (358.7 MB) with weight 112427244 (93.96/col)
Mon Jan 27 11:35:46 2014  sparse part has weight 80870605 (67.59/col)
Mon Jan 27 11:35:49 2014  matrix starts at (0, 0)
Mon Jan 27 11:35:50 2014  matrix is 1196372 x 1196548 (358.7 MB) with weight 112427244 (93.96/col)
Mon Jan 27 11:35:50 2014  sparse part has weight 80870605 (67.59/col)
Mon Jan 27 11:35:50 2014  saving the first 48 matrix rows for later
Mon Jan 27 11:35:50 2014  matrix includes 64 packed rows
Mon Jan 27 11:35:50 2014  matrix is 1196324 x 1196548 (346.2 MB) with weight 89699767 (74.97/col)
Mon Jan 27 11:35:50 2014  sparse part has weight 78798529 (65.85/col)
Mon Jan 27 11:35:50 2014  using block size 65536 for processor cache size 8192 kB
Mon Jan 27 11:35:53 2014  commencing Lanczos iteration (6 threads)
Mon Jan 27 11:35:53 2014  memory use: 316.1 MB
Mon Jan 27 11:35:57 2014  linear algebra at 0.1%, ETA 0h39m
Mon Jan 27 11:35:58 2014  checkpointing every 1820000 dimensions
Mon Jan 27 12:22:15 2014  lanczos halted after 18921 iterations (dim = 1196322)
Mon Jan 27 12:22:16 2014  recovered 30 nontrivial dependencies
Mon Jan 27 12:22:16 2014  BLanczosTime: 2867
Mon Jan 27 12:22:16 2014  
Mon Jan 27 12:22:16 2014  commencing square root phase
Mon Jan 27 12:22:16 2014  reading relations for dependency 1
Mon Jan 27 12:22:16 2014  read 597923 cycles
Mon Jan 27 12:22:17 2014  cycles contain 1929634 unique relations
Mon Jan 27 12:22:42 2014  read 1929634 relations
Mon Jan 27 12:22:47 2014  multiplying 1929634 relations
Mon Jan 27 12:24:04 2014  multiply complete, coefficients have about 83.83 million bits
Mon Jan 27 12:24:04 2014  initial square root is modulo 1040657
Mon Jan 27 12:25:43 2014  sqrtTime: 207
--
# Murphy_E = 7.762e-11, selected by Erik Branger
n: 14238539712497895778456931962184747070633309938779898152015839835842264991012509644691987217141021221394968513504780278511547793567
Y0: -24371452520103151041418265
Y1: 57122393930803
c0: 26234278373371715564541964702344
c1: -126075266781723080700290250
c2: 259889885928888112438
c3: -2322961375557571
c4: -3171515442
c5: 1656
skew: 639455.33
type: gnfs
# selected mechanically
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
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
351e6418118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 22, 2013 18:32:45 UTC 2013 年 10 月 23 日 (水) 3 時 32 分 45 秒 (日本時間)
403e6110Ignacio SantosOctober 22, 2013 18:32:45 UTC 2013 年 10 月 23 日 (水) 3 時 32 分 45 秒 (日本時間)
4511e62422 / 443732Ignacio SantosOctober 22, 2013 18:32:45 UTC 2013 年 10 月 23 日 (水) 3 時 32 分 45 秒 (日本時間)
230Ignacio SantosOctober 30, 2013 15:23:20 UTC 2013 年 10 月 31 日 (木) 0 時 23 分 20 秒 (日本時間)
230Ignacio SantosOctober 30, 2013 19:55:13 UTC 2013 年 10 月 31 日 (木) 4 時 55 分 13 秒 (日本時間)
230Ignacio SantosOctober 30, 2013 22:42:40 UTC 2013 年 10 月 31 日 (木) 7 時 42 分 40 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:45:13 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 13 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:08:22 UTC 2013 年 11 月 9 日 (土) 2 時 8 分 22 秒 (日本時間)

53×10242-719

c232

name 名前Cyp
date 日付January 3, 2014 08:44:13 UTC 2014 年 1 月 3 日 (金) 17 時 44 分 13 秒 (日本時間)
composite number 合成数
3143939150036652679911320852013690454479107180848192859746177240709109399990209166409931873458463199461968999847240529310859693464831033461528410365683328282203075179205195145698385255405043243432077870435366745181999675748588862839<232>
prime factors 素因数
10767262311395672380841089666567105043<38>
291990578395143555686199680500247994278645527385060410088833391099013909888731533881640701099267050384756741086971346367857959314337398641546167442054098932683700743102964066585549979633851992973<195>
factorization results 素因数分解の結果
Run 6 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4005131439
Step 1 took 25427ms
Step 2 took 7595ms
********** Factor found in step 2: 10767262311395672380841089666567105043
Found probable prime factor of 38 digits: 10767262311395672380841089666567105043
Probable prime cofactor 291990578395143555686199680500247994278645527385060410088833391099013909888731533881640701099267050384756741086971346367857959314337398641546167442054098932683700743102964066585549979633851992973 has 195 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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 888Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e66 / 2318CypJanuary 3, 2014 08:44:12 UTC 2014 年 1 月 3 日 (金) 17 時 44 分 12 秒 (日本時間)

53×10244-719

c243

name 名前Serge Batalov
date 日付October 27, 2013 22:18:29 UTC 2013 年 10 月 28 日 (月) 7 時 18 分 29 秒 (日本時間)
composite number 合成数
417651694247438928289992119779353821907013396375098502758077226162332545311268715524034672970843183609141055949566587864460204885736800630417651694247438928289992119779353821907013396375098502758077226162332545311268715524034672970843183609141<243>
prime factors 素因数
3986243727338749692699557892767337117829<40>
composite cofactor 合成数の残り
104773245896398502739983593569476851007366729696065366005310437155747309530149666399585867386927728153884338481374489928850338651937726782017235834815843700413642245505951151614536168633521448512604274929<204>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3281868087
Step 1 took 22161ms
********** Factor found in step 1: 3986243727338749692699557892767337117829
Found probable prime factor of 40 digits: 3986243727338749692699557892767337117829
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61890290CypJanuary 2, 2014 21:40:16 UTC 2014 年 1 月 3 日 (金) 6 時 40 分 16 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:29 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 29 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:43 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 43 秒 (日本時間)
4511e6124 / 4057CypJuly 14, 2015 05:43:33 UTC 2015 年 7 月 14 日 (火) 14 時 43 分 33 秒 (日本時間)

53×10245-719

c215

composite cofactor 合成数の残り
10108887942175381151576102707168325970775552905037286835245591192587154297276880081262407554620682913434409614597312000554489186000288391605016197144852691030264908029396449354115135714101097923159215845448526402569<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:24:51 UTC 2014 年 1 月 7 日 (火) 5 時 24 分 51 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:50:30 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 30 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:43 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 43 秒 (日本時間)
4511e6145 / 4084CypJune 1, 2015 05:29:33 UTC 2015 年 6 月 1 日 (月) 14 時 29 分 33 秒 (日本時間)

53×10248-719

c220

name 名前Cyp
date 日付January 3, 2014 17:34:59 UTC 2014 年 1 月 4 日 (土) 2 時 34 分 59 秒 (日本時間)
composite number 合成数
1380542764096421941884780768665415076988693539757520209362844433312292734698422450459526764431925151466310143792634614114853366320884956272017895658146293082165441634064629120852089060380642045813893723959400912192360063<220>
prime factors 素因数
3470055324237014659864405641761978249<37>
397844597592971096937874466183565852626253517773019680354482529268559114966194094889806452731907627475477447831347576887401434233511536287650593372029409050420396703872359565564447687<183>
factorization results 素因数分解の結果
Run 42 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3439979135
Step 1 took 21723ms
Step 2 took 6816ms
********** Factor found in step 2: 3470055324237014659864405641761978249
Found probable prime factor of 37 digits: 3470055324237014659864405641761978249
Probable prime cofactor 397844597592971096937874466183565852626253517773019680354482529268559114966194094889806452731907627475477447831347576887401434233511536287650593372029409050420396703872359565564447687 has 183 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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 787Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e642 / 2318CypJanuary 3, 2014 17:34:58 UTC 2014 年 1 月 4 日 (土) 2 時 34 分 58 秒 (日本時間)

53×10249-719

c221

composite cofactor 合成数の残り
22885632751534032193789241381507179712115014732972180897186185012178500936772404537853567981336131367440954179432732509426738988191920866575249168530910183650796029652307367704092226559191968111484111233812013433143724667<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 21, 2013 14:00:00 UTC 2013 年 10 月 21 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61890290CypJanuary 5, 2014 13:09:48 UTC 2014 年 1 月 5 日 (日) 22 時 9 分 48 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:31 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 31 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:44 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 44 秒 (日本時間)
4511e60 / 3891--
5043e639 / 7472CypJanuary 31, 2014 02:50:46 UTC 2014 年 1 月 31 日 (金) 11 時 50 分 46 秒 (日本時間)
5511e74 / 17741KTakahashiSeptember 14, 2014 13:34:10 UTC 2014 年 9 月 14 日 (日) 22 時 34 分 10 秒 (日本時間)