Table of contents 目次

83×10106+439

c95

name 名前Erik Branger
date 日付May 31, 2010 18:48:23 UTC 2010 年 6 月 1 日 (火) 3 時 48 分 23 秒 (日本時間)
composite number 合成数
33195931377646982740493832508399878123394262426312120086422151990805153625863890513036540041131<95>
prime factors 素因数
203232024745931553243974057948601853303<39>
163340061287813957494754122220918518503393237120498285677<57>
factorization results 素因数分解の結果
Number: 92227_106
N = 33195931377646982740493832508399878123394262426312120086422151990805153625863890513036540041131 (95 digits)
SNFS difficulty: 108 digits.
Divisors found:
r1=203232024745931553243974057948601853303 (pp39)
r2=163340061287813957494754122220918518503393237120498285677 (pp57)
Version: Msieve v. 1.45
Total time: 1.74 hours.
Factorization parameters were as follows:
n: 33195931377646982740493832508399878123394262426312120086422151990805153625863890513036540041131
m: 1000000000000000000000
deg: 5
c5: 830
c0: 43
skew: 0.55
type: snfs
lss: 1
rlim: 440000
alim: 440000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 440000/440000
Large primes per side: 3
Large prime bits: 25/25
Sieved rational special-q in [220000, 520000)
Relations: 1185130
Relations in full relation-set: 80462 relations
Pruned matrix : 53487 x 53712
Polynomial selection time: 0.00 hours.
Total sieving time: 1.66 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
time per square root: 0.05 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
3025e40--
351e6118 / 904Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)

83×10113+439

c101

name 名前Serge Batalov
date 日付May 31, 2010 22:40:24 UTC 2010 年 6 月 1 日 (火) 7 時 40 分 24 秒 (日本時間)
composite number 合成数
24818238833070036671684352008268727246364482213010795572093017733279085985026969596445185463016013163<101>
prime factors 素因数
639182529375456099480918405850096227981107<42>
38828093216690208130304419006103586018885359509909798117609<59>
factorization results 素因数分解の結果
SNFS difficulty: 114 digits.
Divisors found:
 r1=639182529375456099480918405850096227981107 (pp42)
 r2=38828093216690208130304419006103586018885359509909798117609 (pp59)
Version: Msieve v. 1.45 SVN229
Total time: 0.78 hours.
Scaled time: 1.86 units (timescale=2.400).
Factorization parameters were as follows:
n: 24818238833070036671684352008268727246364482213010795572093017733279085985026969596445185463016013163
m: 10000000000000000000000
c5: 83000
c0: 43
skew: 0.22
type: snfs
lss: 1
rlim: 580000
alim: 580000
lpbr: 25
lpba: 25
mfbr: 48
mfba: 48
rlambda: 2.2
alambda: 2.2
Factor base limits: 580000/580000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 48/48
Sieved rational special-q in [362500, 662501)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 81153 x 81401
Total sieving time: 0.72 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,114.000,5,0,0,0,0,0,0,0,0,580000,580000,25,25,48,48,2.2,2.2,50000
total time: 0.78 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)

83×10116+439

c93

name 名前Erik Branger
date 日付May 31, 2010 20:35:52 UTC 2010 年 6 月 1 日 (火) 5 時 35 分 52 秒 (日本時間)
composite number 合成数
184840650125646660906227463918628649370066376827940702113273598425389535028085164433127715841<93>
prime factors 素因数
8519490567534264622552187132428987<34>
21696209258101658023249562403377629172231724486489036656243<59>
factorization results 素因数分解の結果
Number: 92227_116
N = 184840650125646660906227463918628649370066376827940702113273598425389535028085164433127715841 (93 digits)
SNFS difficulty: 118 digits.
Divisors found:
r1=8519490567534264622552187132428987 (pp34)
r2=21696209258101658023249562403377629172231724486489036656243 (pp59)
Version: Msieve v. 1.45
Total time: 3.15 hours.
Factorization parameters were as follows:
n: 184840650125646660906227463918628649370066376827940702113273598425389535028085164433127715841
m: 100000000000000000000000
deg: 5
c5: 830
c0: 43
skew: 0.55
type: snfs
lss: 1
rlim: 650000
alim: 650000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 650000/650000
Large primes per side: 3
Large prime bits: 25/25
Sieved rational special-q in [325000, 925000)
Relations: 1398677
Relations in full relation-set: 135574 relations
Pruned matrix : 89512 x 89737
Polynomial selection time: 0.00 hours.
Total sieving time: 2.98 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
time per square root: 0.11 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
3025e40--
351e6118 / 904Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)

83×10119+439

c100

name 名前Sinkiti Sibata
date 日付June 1, 2010 08:26:18 UTC 2010 年 6 月 1 日 (火) 17 時 26 分 18 秒 (日本時間)
composite number 合成数
1148049990520765843765546949146367438674754156942363028089173164350367979648051574659114412147585597<100>
prime factors 素因数
4282764294300109515297988219735699076169025607<46>
268062847177626542673718937558156252330886051483252571<54>
factorization results 素因数分解の結果
Tue Jun 01 07:52:17 2010  Msieve v. 1.42
Tue Jun 01 07:52:17 2010  random seeds: a7d503a4 8586b671
Tue Jun 01 07:52:17 2010  factoring 1148049990520765843765546949146367438674754156942363028089173164350367979648051574659114412147585597 (100 digits)
Tue Jun 01 07:52:18 2010  searching for 15-digit factors
Tue Jun 01 07:52:19 2010  commencing quadratic sieve (100-digit input)
Tue Jun 01 07:52:19 2010  using multiplier of 5
Tue Jun 01 07:52:19 2010  using 32kb Intel Core sieve core
Tue Jun 01 07:52:19 2010  sieve interval: 36 blocks of size 32768
Tue Jun 01 07:52:19 2010  processing polynomials in batches of 6
Tue Jun 01 07:52:19 2010  using a sieve bound of 2681729 (97612 primes)
Tue Jun 01 07:52:19 2010  using large prime bound of 402259350 (28 bits)
Tue Jun 01 07:52:19 2010  using double large prime bound of 3076883377187400 (43-52 bits)
Tue Jun 01 07:52:19 2010  using trial factoring cutoff of 52 bits
Tue Jun 01 07:52:19 2010  polynomial 'A' values have 13 factors
Tue Jun 01 17:05:04 2010  98055 relations (23638 full + 74417 combined from 1470697 partial), need 97708
Tue Jun 01 17:05:06 2010  begin with 1494335 relations
Tue Jun 01 17:05:07 2010  reduce to 257334 relations in 11 passes
Tue Jun 01 17:05:07 2010  attempting to read 257334 relations
Tue Jun 01 17:05:12 2010  recovered 257334 relations
Tue Jun 01 17:05:12 2010  recovered 246779 polynomials
Tue Jun 01 17:05:13 2010  attempting to build 98055 cycles
Tue Jun 01 17:05:13 2010  found 98055 cycles in 5 passes
Tue Jun 01 17:05:13 2010  distribution of cycle lengths:
Tue Jun 01 17:05:13 2010     length 1 : 23638
Tue Jun 01 17:05:13 2010     length 2 : 16997
Tue Jun 01 17:05:13 2010     length 3 : 16317
Tue Jun 01 17:05:13 2010     length 4 : 13538
Tue Jun 01 17:05:13 2010     length 5 : 10003
Tue Jun 01 17:05:13 2010     length 6 : 6860
Tue Jun 01 17:05:13 2010     length 7 : 4395
Tue Jun 01 17:05:13 2010     length 9+: 6307
Tue Jun 01 17:05:13 2010  largest cycle: 20 relations
Tue Jun 01 17:05:13 2010  matrix is 97612 x 98055 (26.6 MB) with weight 6572348 (67.03/col)
Tue Jun 01 17:05:13 2010  sparse part has weight 6572348 (67.03/col)
Tue Jun 01 17:05:15 2010  filtering completed in 3 passes
Tue Jun 01 17:05:15 2010  matrix is 93412 x 93476 (25.4 MB) with weight 6279848 (67.18/col)
Tue Jun 01 17:05:15 2010  sparse part has weight 6279848 (67.18/col)
Tue Jun 01 17:05:15 2010  saving the first 48 matrix rows for later
Tue Jun 01 17:05:15 2010  matrix is 93364 x 93476 (15.1 MB) with weight 4908147 (52.51/col)
Tue Jun 01 17:05:15 2010  sparse part has weight 3390026 (36.27/col)
Tue Jun 01 17:05:15 2010  matrix includes 64 packed rows
Tue Jun 01 17:05:15 2010  using block size 37390 for processor cache size 1024 kB
Tue Jun 01 17:05:16 2010  commencing Lanczos iteration
Tue Jun 01 17:05:16 2010  memory use: 15.7 MB
Tue Jun 01 17:06:25 2010  lanczos halted after 1479 iterations (dim = 93362)
Tue Jun 01 17:06:25 2010  recovered 16 nontrivial dependencies
Tue Jun 01 17:06:26 2010  prp46 factor: 4282764294300109515297988219735699076169025607
Tue Jun 01 17:06:26 2010  prp54 factor: 268062847177626542673718937558156252330886051483252571
Tue Jun 01 17:06:26 2010  elapsed time 09:14:09

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 31, 2010 19:36:06 UTC 2010 年 6 月 1 日 (火) 4 時 36 分 6 秒 (日本時間)
403e6110 / 2126Ignacio SantosMay 31, 2010 19:36:06 UTC 2010 年 6 月 1 日 (火) 4 時 36 分 6 秒 (日本時間)
4511e632 / 4437Ignacio SantosMay 31, 2010 19:36:06 UTC 2010 年 6 月 1 日 (火) 4 時 36 分 6 秒 (日本時間)

83×10123+439

c116

name 名前Dmitry Domanov
date 日付June 1, 2010 11:35:23 UTC 2010 年 6 月 1 日 (火) 20 時 35 分 23 秒 (日本時間)
composite number 合成数
10542629789071493473499735389709296460501396490650510553439096586374070594290699730941837298269244754801072991414543<116>
prime factors 素因数
10490474712072815076955421139765158893241987681<47>
1004971660332840463427312464305769247337791486896338502612168173531503<70>
factorization results 素因数分解の結果
Number: nq1
N=10542629789071493473499735389709296460501396490650510553439096586374070594290699730941837298269244754801072991414543
  ( 116 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=10490474712072815076955421139765158893241987681 (pp47)
 r2=1004971660332840463427312464305769247337791486896338502612168173531503 (pp70)
Version: Msieve-1.40
Total time: 3.64 hours.
Scaled time: 6.72 units (timescale=1.845).
Factorization parameters were as follows:
n: 10542629789071493473499735389709296460501396490650510553439096586374070594290699730941837298269244754801072991414543
m: 1000000000000000000000000
deg: 5
c5: 83000
c0: 43
skew: 0.22
type: snfs
lss: 1
rlim: 850000
alim: 850000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 850000/850000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [425000, 1225001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 107807 x 108033
Total sieving time: 3.59 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,124.000,5,0,0,0,0,0,0,0,0,850000,850000,25,25,46,46,2.2,2.2,50000
total time: 3.64 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
351e6418118Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 31, 2010 20:36:02 UTC 2010 年 6 月 1 日 (火) 5 時 36 分 2 秒 (日本時間)
403e6110 / 2126Ignacio SantosMay 31, 2010 20:36:02 UTC 2010 年 6 月 1 日 (火) 5 時 36 分 2 秒 (日本時間)
4511e632 / 4437Ignacio SantosMay 31, 2010 20:36:02 UTC 2010 年 6 月 1 日 (火) 5 時 36 分 2 秒 (日本時間)

83×10124+439

c121

name 名前Sinkiti Sibata
date 日付June 1, 2010 12:17:00 UTC 2010 年 6 月 1 日 (火) 21 時 17 分 0 秒 (日本時間)
composite number 合成数
1514048730479260268625079578766105009312311769995932134133772589880682015107652513047269331027601290772146610993453107357<121>
prime factors 素因数
167795750360405318507931485051871114830381834708561550161<57>
9023164932528169737121866654272963229214421644740464825050967437<64>
factorization results 素因数分解の結果
Number: 92227_124
N=1514048730479260268625079578766105009312311769995932134133772589880682015107652513047269331027601290772146610993453107357
  ( 121 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=167795750360405318507931485051871114830381834708561550161 (pp57)
 r2=9023164932528169737121866654272963229214421644740464825050967437 (pp64)
Version: Msieve-1.40
Total time: 2.18 hours.
Scaled time: 6.93 units (timescale=3.174).
Factorization parameters were as follows:
name: 92227_124
n: 1514048730479260268625079578766105009312311769995932134133772589880682015107652513047269331027601290772146610993453107357
m: 1000000000000000000000000
deg: 5
c5: 830000
c0: 43
skew: 0.14
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 880000/880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [440000, 840001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 137590 x 137838
Total sieving time: 2.08 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,125.000,5,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,50000
total time: 2.18 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
3025e40--
351e6118 / 904Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)

83×10129+439

c101

name 名前Dmitry Domanov
date 日付June 1, 2010 13:01:57 UTC 2010 年 6 月 1 日 (火) 22 時 1 分 57 秒 (日本時間)
composite number 合成数
14264462787137771955446418403884303594574514797404855724231463539165335728483473272634489863364131709<101>
prime factors 素因数
184067288012180081615148678249287221301258653<45>
77495914353852300979063294676405103851413157770842022753<56>
factorization results 素因数分解の結果
Number: nq2
N=14264462787137771955446418403884303594574514797404855724231463539165335728483473272634489863364131709
  ( 101 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=184067288012180081615148678249287221301258653 (pp45)
 r2=77495914353852300979063294676405103851413157770842022753 (pp56)
Version: Msieve-1.40
Total time: 3.10 hours.
Scaled time: 5.93 units (timescale=1.911).
Factorization parameters were as follows:
n: 14264462787137771955446418403884303594574514797404855724231463539165335728483473272634489863364131709
m: 10000000000000000000000000
deg: 5
c5: 830000
c0: 43
skew: 0.14
type: snfs
lss: 1
rlim: 1060000
alim: 1060000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1060000/1060000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [530000, 1130001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 171045 x 171271
Total sieving time: 2.89 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,130.000,5,0,0,0,0,0,0,0,0,1060000,1060000,26,26,47,47,2.3,2.3,50000
total time: 3.10 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
351e6418118Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 31, 2010 21:51:56 UTC 2010 年 6 月 1 日 (火) 6 時 51 分 56 秒 (日本時間)
403e6110 / 2126Ignacio SantosMay 31, 2010 21:51:56 UTC 2010 年 6 月 1 日 (火) 6 時 51 分 56 秒 (日本時間)
4511e632 / 4437Ignacio SantosMay 31, 2010 21:51:56 UTC 2010 年 6 月 1 日 (火) 6 時 51 分 56 秒 (日本時間)

83×10131+439

c86

name 名前Sinkiti Sibata
date 日付June 1, 2010 07:39:34 UTC 2010 年 6 月 1 日 (火) 16 時 39 分 34 秒 (日本時間)
composite number 合成数
89265027962601547881241431679692583531341063039487714805928201161269995720028622120473<86>
prime factors 素因数
3054173715882997760292883573915088988123503<43>
29227226826812623542467296266187285043743991<44>
factorization results 素因数分解の結果
Number: 92227_131
N = 89265027962601547881241431679692583531341063039487714805928201161269995720028622120473 (86 digits)
Divisors found:
r1=3054173715882997760292883573915088988123503 (pp43)
r2=29227226826812623542467296266187285043743991 (pp44)
Version: Msieve v. 1.44
Total time: 0.50 hours.
Factorization parameters were as follows:
n: 89265027962601547881241431679692583531341063039487714805928201161269995720028622120473
Y0: -484487863694588710485
Y1: 73557596383
c0: 60698402396354566089493
c1: -11536809351166283379
c2: 200487608987717
c3: 853051884
c4: 1620
skew: 143182.95 
type: gnfs
Factor base limits: 550000/550000
Large primes per side: 3
Large prime bits: 24/24
Sieved algebraic special-q in [0, 0)
Total raw relations: 1271231
Relations: 60308 relations
Pruned matrix : 47129 x 47354
Polynomial selection time: 0.13 hours.
Total sieving time: 0.36 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
time per square root: 0.00 hours.
Prototype def-par.txt line would be: gnfs,85,4,56,1500,0.001,0.3,200,15,10000,500,550000,550000,24,24,40,40,1.9,1.9,10000
total time: 0.50 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 860 2.80GHz,Windows7 64bit,and factmsieve.py )

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)

83×10135+439

c99

name 名前Sinkiti Sibata
date 日付June 1, 2010 05:27:30 UTC 2010 年 6 月 1 日 (火) 14 時 27 分 30 秒 (日本時間)
composite number 合成数
584102429929602831146771233720644258791479926688478796065568544334375997305816120953307573757630901<99>
prime factors 素因数
321850997620806805911726991<27>
1814822493164278362849684110991011129726393992525836457301557730574374011<73>
factorization results 素因数分解の結果
Number: 92227_135
N=584102429929602831146771233720644258791479926688478796065568544334375997305816120953307573757630901
  ( 99 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=321850997620806805911726991 (pp27)
 r2=1814822493164278362849684110991011129726393992525836457301557730574374011 (pp73)
Version: Msieve-1.40
Total time: 3.68 hours.
Scaled time: 11.97 units (timescale=3.254).
Factorization parameters were as follows:
name: 92227_135
n: 584102429929602831146771233720644258791479926688478796065568544334375997305816120953307573757630901
m: 1000000000000000000000000000
deg: 5
c5: 83
c0: 43
skew: 0.88
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1340000/1340000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [670000, 1270001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 205061 x 205309
Total sieving time: 3.52 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1340000,1340000,26,26,48,48,2.3,2.3,75000
total time: 3.68 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
3025e40--
351e6118 / 904Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)

83×10138+439

c100

name 名前Sinkiti Sibata
date 日付June 1, 2010 08:40:43 UTC 2010 年 6 月 1 日 (火) 17 時 40 分 43 秒 (日本時間)
composite number 合成数
1409493041161843006554336733661531098841521216561571757008832128286405075061469858702231267107229771<100>
prime factors 素因数
119670290368095693052617390725851668146803<42>
11778136719033283934494509639444619541588137611994098554057<59>
factorization results 素因数分解の結果
Number: 92227_138
N=1409493041161843006554336733661531098841521216561571757008832128286405075061469858702231267107229771
  ( 100 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=119670290368095693052617390725851668146803 (pp42)
 r2=11778136719033283934494509639444619541588137611994098554057 (pp59)
Version: Msieve-1.40
Total time: 7.79 hours.
Scaled time: 24.12 units (timescale=3.097).
Factorization parameters were as follows:
name: 92227_138
n: 1409493041161843006554336733661531098841521216561571757008832128286405075061469858702231267107229771
m: 1000000000000000000000000000
deg: 5
c5: 83000
c0: 43
skew: 0.22
type: snfs
lss: 1
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [750000, 2100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 273739 x 273987
Total sieving time: 7.56 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,139.000,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,48,48,2.3,2.3,75000
total time: 7.79 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
3025e40--
351e6118 / 904Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)

83×10143+439

c133

name 名前Dmitry Domanov
date 日付June 1, 2010 23:37:57 UTC 2010 年 6 月 2 日 (水) 8 時 37 分 57 秒 (日本時間)
composite number 合成数
3436102919614104431569079024821052904589495587886547872789038652300662401864363533270397330386140310139721360258631567221367480337717<133>
prime factors 素因数
98872008699928250017443097165823<32>
234628914082354722772470393002874791<36>
148119171948880447735188180273748664781709040209537921739048593469<66>
factorization results 素因数分解の結果
Number: nq3
N=3436102919614104431569079024821052904589495587886547872789038652300662401864363533270397330386140310139721360258631567221367480337717
  ( 133 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=98872008699928250017443097165823 (pp32)
 r2=234628914082354722772470393002874791 (pp36)
 r3=148119171948880447735188180273748664781709040209537921739048593469 (pp66)
Version: Msieve-1.40
Total time: 10.52 hours.
Scaled time: 19.17 units (timescale=1.823).
Factorization parameters were as follows:
n: 3436102919614104431569079024821052904589495587886547872789038652300662401864363533270397330386140310139721360258631567221367480337717
m: 10000000000000000000000000000
deg: 5
c5: 83000
c0: 43
skew: 0.22
type: snfs
lss: 1
rlim: 1820000
alim: 1820000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1820000/1820000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [910000, 2810001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 364899 x 365124
Total sieving time: 9.82 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.39 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,144.000,5,0,0,0,0,0,0,0,0,1820000,1820000,26,26,49,49,2.3,2.3,100000
total time: 10.52 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)

83×10144+439

c99

name 名前Dmitry Domanov
date 日付June 1, 2010 11:34:19 UTC 2010 年 6 月 1 日 (火) 20 時 34 分 19 秒 (日本時間)
composite number 合成数
958791064508893184957133522821827928739002867891683880673171464750336616784651556249551904435795569<99>
prime factors 素因数
17802644867140792547020703955764223774216731<44>
53856664089198368664283303726390458720030208074610803299<56>
factorization results 素因数分解の結果
-> makeJobFile(): Adjusted to q0=4450000, q1=4550000.
->               client 1 q0: 4450000
      LatSieveTime: 3130
Tue Jun 01 10:34:07 2010  
Tue Jun 01 10:34:07 2010  
Tue Jun 01 10:34:07 2010  Msieve v. 1.42
Tue Jun 01 10:34:07 2010  random seeds: 8e22e380 0dc640a8
Tue Jun 01 10:34:07 2010  factoring 958791064508893184957133522821827928739002867891683880673171464750336616784651556249551904435795569 (99 digits)
Tue Jun 01 10:34:09 2010  searching for 15-digit factors
Tue Jun 01 10:34:10 2010  commencing number field sieve (99-digit input)
Tue Jun 01 10:34:10 2010  R0: -9017571695988815195
Tue Jun 01 10:34:10 2010  R1:  12448940537
Tue Jun 01 10:34:10 2010  A0: -32890115166903119173368
Tue Jun 01 10:34:10 2010  A1:  36131548005926680286
Tue Jun 01 10:34:10 2010  A2:  11946066172865937
Tue Jun 01 10:34:10 2010  A3: -2362613290846
Tue Jun 01 10:34:10 2010  A4: -270505544
Tue Jun 01 10:34:10 2010  A5:  16080
Tue Jun 01 10:34:10 2010  skew 6453.28, size 1.859441e-009, alpha -4.842499, combined = 3.600089e-009
Tue Jun 01 10:34:10 2010  
Tue Jun 01 10:34:10 2010  commencing relation filtering
Tue Jun 01 10:34:10 2010  estimated available RAM is 4096.0 MB
Tue Jun 01 10:34:10 2010  commencing duplicate removal, pass 1
Tue Jun 01 10:34:58 2010  found 405086 hash collisions in 4445521 relations
Tue Jun 01 10:35:10 2010  added 835 free relations
Tue Jun 01 10:35:10 2010  commencing duplicate removal, pass 2
Tue Jun 01 10:35:22 2010  found 305760 duplicates and 4140595 unique relations
Tue Jun 01 10:35:22 2010  memory use: 16.3 MB
Tue Jun 01 10:35:22 2010  reading ideals above 100000
Tue Jun 01 10:35:22 2010  commencing singleton removal, initial pass
Tue Jun 01 10:36:16 2010  memory use: 74.6 MB
Tue Jun 01 10:36:16 2010  reading all ideals from disk
Tue Jun 01 10:36:17 2010  memory use: 128.0 MB
Tue Jun 01 10:36:18 2010  keeping 4319863 ideals with weight <= 200, target excess is 23755
Tue Jun 01 10:36:19 2010  commencing in-memory singleton removal
Tue Jun 01 10:36:20 2010  begin with 4140595 relations and 4319863 unique ideals
Tue Jun 01 10:36:24 2010  reduce to 1664967 relations and 1419316 ideals in 12 passes
Tue Jun 01 10:36:24 2010  max relations containing the same ideal: 104
Tue Jun 01 10:36:25 2010  removing 478280 relations and 369232 ideals in 109048 cliques
Tue Jun 01 10:36:26 2010  commencing in-memory singleton removal
Tue Jun 01 10:36:26 2010  begin with 1186687 relations and 1419316 unique ideals
Tue Jun 01 10:36:28 2010  reduce to 1111242 relations and 968898 ideals in 8 passes
Tue Jun 01 10:36:28 2010  max relations containing the same ideal: 76
Tue Jun 01 10:36:30 2010  removing 363822 relations and 254774 ideals in 109048 cliques
Tue Jun 01 10:36:30 2010  commencing in-memory singleton removal
Tue Jun 01 10:36:30 2010  begin with 747420 relations and 968898 unique ideals
Tue Jun 01 10:36:31 2010  reduce to 671976 relations and 631401 ideals in 9 passes
Tue Jun 01 10:36:31 2010  max relations containing the same ideal: 54
Tue Jun 01 10:36:32 2010  removing 71799 relations and 58780 ideals in 13019 cliques
Tue Jun 01 10:36:32 2010  commencing in-memory singleton removal
Tue Jun 01 10:36:32 2010  begin with 600177 relations and 631401 unique ideals
Tue Jun 01 10:36:32 2010  reduce to 595581 relations and 567934 ideals in 6 passes
Tue Jun 01 10:36:32 2010  max relations containing the same ideal: 48
Tue Jun 01 10:36:33 2010  relations with 0 large ideals: 75
Tue Jun 01 10:36:33 2010  relations with 1 large ideals: 395
Tue Jun 01 10:36:33 2010  relations with 2 large ideals: 4895
Tue Jun 01 10:36:33 2010  relations with 3 large ideals: 30513
Tue Jun 01 10:36:33 2010  relations with 4 large ideals: 94297
Tue Jun 01 10:36:33 2010  relations with 5 large ideals: 164611
Tue Jun 01 10:36:33 2010  relations with 6 large ideals: 167290
Tue Jun 01 10:36:33 2010  relations with 7+ large ideals: 133505
Tue Jun 01 10:36:33 2010  commencing 2-way merge
Tue Jun 01 10:36:34 2010  reduce to 372674 relation sets and 345027 unique ideals
Tue Jun 01 10:36:34 2010  commencing full merge
Tue Jun 01 10:36:47 2010  memory use: 37.2 MB
Tue Jun 01 10:36:47 2010  found 180539 cycles, need 177227
Tue Jun 01 10:36:47 2010  weight of 177227 cycles is about 12711427 (71.72/cycle)
Tue Jun 01 10:36:47 2010  distribution of cycle lengths:
Tue Jun 01 10:36:47 2010  1 relations: 14924
Tue Jun 01 10:36:47 2010  2 relations: 16316
Tue Jun 01 10:36:47 2010  3 relations: 17642
Tue Jun 01 10:36:47 2010  4 relations: 17368
Tue Jun 01 10:36:47 2010  5 relations: 16755
Tue Jun 01 10:36:47 2010  6 relations: 15425
Tue Jun 01 10:36:47 2010  7 relations: 13695
Tue Jun 01 10:36:47 2010  8 relations: 12153
Tue Jun 01 10:36:47 2010  9 relations: 10262
Tue Jun 01 10:36:47 2010  10+ relations: 42687
Tue Jun 01 10:36:47 2010  heaviest cycle: 22 relations
Tue Jun 01 10:36:47 2010  commencing cycle optimization
Tue Jun 01 10:36:48 2010  start with 1186019 relations
Tue Jun 01 10:36:51 2010  pruned 36860 relations
Tue Jun 01 10:36:51 2010  memory use: 29.2 MB
Tue Jun 01 10:36:51 2010  distribution of cycle lengths:
Tue Jun 01 10:36:51 2010  1 relations: 14924
Tue Jun 01 10:36:51 2010  2 relations: 16718
Tue Jun 01 10:36:51 2010  3 relations: 18227
Tue Jun 01 10:36:51 2010  4 relations: 17903
Tue Jun 01 10:36:51 2010  5 relations: 17304
Tue Jun 01 10:36:51 2010  6 relations: 15838
Tue Jun 01 10:36:51 2010  7 relations: 14143
Tue Jun 01 10:36:51 2010  8 relations: 12335
Tue Jun 01 10:36:51 2010  9 relations: 10350
Tue Jun 01 10:36:51 2010  10+ relations: 39485
Tue Jun 01 10:36:51 2010  heaviest cycle: 22 relations
Tue Jun 01 10:36:52 2010  RelProcTime: 162
Tue Jun 01 10:36:52 2010  
Tue Jun 01 10:36:52 2010  commencing linear algebra
Tue Jun 01 10:36:52 2010  read 177227 cycles
Tue Jun 01 10:36:53 2010  cycles contain 577858 unique relations
Tue Jun 01 10:37:07 2010  read 577858 relations
Tue Jun 01 10:37:08 2010  using 20 quadratic characters above 67104804
Tue Jun 01 10:37:12 2010  building initial matrix
Tue Jun 01 10:37:23 2010  memory use: 63.7 MB
Tue Jun 01 10:37:24 2010  read 177227 cycles
Tue Jun 01 10:37:26 2010  matrix is 177049 x 177227 (50.5 MB) with weight 16784841 (94.71/col)
Tue Jun 01 10:37:26 2010  sparse part has weight 12004747 (67.74/col)
Tue Jun 01 10:37:29 2010  filtering completed in 2 passes
Tue Jun 01 10:37:29 2010  matrix is 176966 x 177144 (50.5 MB) with weight 16780858 (94.73/col)
Tue Jun 01 10:37:29 2010  sparse part has weight 12003111 (67.76/col)
Tue Jun 01 10:37:31 2010  read 177144 cycles
Tue Jun 01 10:37:40 2010  matrix is 176966 x 177144 (50.5 MB) with weight 16780858 (94.73/col)
Tue Jun 01 10:37:40 2010  sparse part has weight 12003111 (67.76/col)
Tue Jun 01 10:37:40 2010  saving the first 48 matrix rows for later
Tue Jun 01 10:37:40 2010  matrix is 176918 x 177144 (48.1 MB) with weight 13229612 (74.68/col)
Tue Jun 01 10:37:40 2010  sparse part has weight 11541074 (65.15/col)
Tue Jun 01 10:37:40 2010  matrix includes 64 packed rows
Tue Jun 01 10:37:40 2010  using block size 65536 for processor cache size 6144 kB
Tue Jun 01 10:37:42 2010  commencing Lanczos iteration
Tue Jun 01 10:37:42 2010  memory use: 47.8 MB
Tue Jun 01 10:43:27 2010  lanczos halted after 2799 iterations (dim = 176918)
Tue Jun 01 10:43:28 2010  recovered 30 nontrivial dependencies
Tue Jun 01 10:43:28 2010  BLanczosTime: 396
Tue Jun 01 10:43:28 2010  
Tue Jun 01 10:43:28 2010  commencing square root phase
Tue Jun 01 10:43:28 2010  reading relations for dependency 1
Tue Jun 01 10:43:28 2010  read 88570 cycles
Tue Jun 01 10:43:28 2010  cycles contain 364898 unique relations
Tue Jun 01 10:43:42 2010  read 364898 relations
Tue Jun 01 10:43:45 2010  multiplying 288952 relations
Tue Jun 01 10:44:25 2010  multiply complete, coefficients have about 11.79 million bits
Tue Jun 01 10:44:26 2010  initial square root is modulo 5961539
Tue Jun 01 10:45:22 2010  sqrtTime: 114
Tue Jun 01 10:45:22 2010  prp44 factor: 17802644867140792547020703955764223774216731
Tue Jun 01 10:45:22 2010  prp56 factor: 53856664089198368664283303726390458720030208074610803299
Tue Jun 01 10:45:22 2010  elapsed time 00:11:15

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)

83×10146+439

c145

name 名前Dmitry Domanov
date 日付June 2, 2010 11:14:54 UTC 2010 年 6 月 2 日 (水) 20 時 14 分 54 秒 (日本時間)
composite number 合成数
3795153177869227251943301326017375400091449474165523548239597622313671696387745770461819844535893918609967992684042066758116140832190214906264289<145>
prime factors 素因数
3673761489141529694592896683007538607254021851<46>
1033042887810352624535919644577509721951998987493148505829529683805692042293120197043957958969777139<100>
factorization results 素因数分解の結果
Number: nq4
N=3795153177869227251943301326017375400091449474165523548239597622313671696387745770461819844535893918609967992684042066758116140832190214906264289
  ( 145 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=3673761489141529694592896683007538607254021851 (pp46)
 r2=1033042887810352624535919644577509721951998987493148505829529683805692042293120197043957958969777139 (pp100)
Version: Msieve-1.40
Total time: 11.47 hours.
Scaled time: 22.58 units (timescale=1.969).
Factorization parameters were as follows:
n: 3795153177869227251943301326017375400091449474165523548239597622313671696387745770461819844535893918609967992684042066758116140832190214906264289
m: 100000000000000000000000000000
deg: 5
c5: 830
c0: 43
skew: 0.55
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 3000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 380614 x 380840
Total sieving time: 10.96 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.43 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,147.000,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 11.47 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 KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)

83×10147+439

c87

name 名前Sinkiti Sibata
date 日付May 31, 2010 22:48:42 UTC 2010 年 6 月 1 日 (火) 7 時 48 分 42 秒 (日本時間)
composite number 合成数
339148885793937009982215701268975690034733119987509696585037324288456306957941660126703<87>
prime factors 素因数
340896693254337784106065026832631231<36>
994872911662135831170762032565401131087699529589713<51>
factorization results 素因数分解の結果
ue Jun 01 07:01:39 2010  Msieve v. 1.42
Tue Jun 01 07:01:39 2010  random seeds: ba290cb0 9fbcb3ed
Tue Jun 01 07:01:39 2010  factoring 339148885793937009982215701268975690034733119987509696585037324288456306957941660126703 (87 digits)
Tue Jun 01 07:01:40 2010  searching for 15-digit factors
Tue Jun 01 07:01:41 2010  commencing quadratic sieve (87-digit input)
Tue Jun 01 07:01:41 2010  using multiplier of 3
Tue Jun 01 07:01:41 2010  using 32kb Intel Core sieve core
Tue Jun 01 07:01:41 2010  sieve interval: 20 blocks of size 32768
Tue Jun 01 07:01:41 2010  processing polynomials in batches of 11
Tue Jun 01 07:01:41 2010  using a sieve bound of 1478863 (56667 primes)
Tue Jun 01 07:01:41 2010  using large prime bound of 118309040 (26 bits)
Tue Jun 01 07:01:41 2010  using double large prime bound of 339963392620800 (41-49 bits)
Tue Jun 01 07:01:41 2010  using trial factoring cutoff of 49 bits
Tue Jun 01 07:01:41 2010  polynomial 'A' values have 11 factors
Tue Jun 01 07:42:22 2010  56968 relations (16327 full + 40641 combined from 589011 partial), need 56763
Tue Jun 01 07:42:22 2010  begin with 605338 relations
Tue Jun 01 07:42:23 2010  reduce to 134740 relations in 11 passes
Tue Jun 01 07:42:23 2010  attempting to read 134740 relations
Tue Jun 01 07:42:25 2010  recovered 134740 relations
Tue Jun 01 07:42:25 2010  recovered 112480 polynomials
Tue Jun 01 07:42:25 2010  attempting to build 56968 cycles
Tue Jun 01 07:42:25 2010  found 56968 cycles in 5 passes
Tue Jun 01 07:42:25 2010  distribution of cycle lengths:
Tue Jun 01 07:42:25 2010     length 1 : 16327
Tue Jun 01 07:42:25 2010     length 2 : 11259
Tue Jun 01 07:42:25 2010     length 3 : 10029
Tue Jun 01 07:42:25 2010     length 4 : 7381
Tue Jun 01 07:42:25 2010     length 5 : 5100
Tue Jun 01 07:42:25 2010     length 6 : 3074
Tue Jun 01 07:42:25 2010     length 7 : 1811
Tue Jun 01 07:42:25 2010     length 9+: 1987
Tue Jun 01 07:42:25 2010  largest cycle: 20 relations
Tue Jun 01 07:42:25 2010  matrix is 56667 x 56968 (13.0 MB) with weight 3175345 (55.74/col)
Tue Jun 01 07:42:25 2010  sparse part has weight 3175345 (55.74/col)
Tue Jun 01 07:42:26 2010  filtering completed in 3 passes
Tue Jun 01 07:42:26 2010  matrix is 52009 x 52073 (11.9 MB) with weight 2921338 (56.10/col)
Tue Jun 01 07:42:26 2010  sparse part has weight 2921338 (56.10/col)
Tue Jun 01 07:42:26 2010  saving the first 48 matrix rows for later
Tue Jun 01 07:42:26 2010  matrix is 51961 x 52073 (7.6 MB) with weight 2287763 (43.93/col)
Tue Jun 01 07:42:26 2010  sparse part has weight 1679331 (32.25/col)
Tue Jun 01 07:42:26 2010  matrix includes 64 packed rows
Tue Jun 01 07:42:26 2010  using block size 20829 for processor cache size 1024 kB
Tue Jun 01 07:42:26 2010  commencing Lanczos iteration
Tue Jun 01 07:42:27 2010  memory use: 7.9 MB
Tue Jun 01 07:42:43 2010  lanczos halted after 823 iterations (dim = 51960)
Tue Jun 01 07:42:43 2010  recovered 17 nontrivial dependencies
Tue Jun 01 07:42:43 2010  prp36 factor: 340896693254337784106065026832631231
Tue Jun 01 07:42:43 2010  prp51 factor: 994872911662135831170762032565401131087699529589713
Tue Jun 01 07:42:43 2010  elapsed time 00:41:04

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)

83×10149+439

c130

name 名前Sinkiti Sibata
date 日付June 2, 2010 03:52:55 UTC 2010 年 6 月 2 日 (水) 12 時 52 分 55 秒 (日本時間)
composite number 合成数
8457925144823235703922511507804678651965675224489470911596065630383132494072794656243758231623582040984686280248355605966112392011<130>
prime factors 素因数
241672568921492528203629410631709739<36>
85551959010407011377619325859466990067<38>
409078372976203547656405182854620640257384968063852000347<57>
factorization results 素因数分解の結果
Number: 92227_149
N=8457925144823235703922511507804678651965675224489470911596065630383132494072794656243758231623582040984686280248355605966112392011
  ( 130 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=241672568921492528203629410631709739 (pp36)
 r2=85551959010407011377619325859466990067 (pp38)
 r3=409078372976203547656405182854620640257384968063852000347 (pp57)
Version: Msieve-1.40
Total time: 18.78 hours.
Scaled time: 55.75 units (timescale=2.968).
Factorization parameters were as follows:
name: 92227_149
n: 8457925144823235703922511507804678651965675224489470911596065630383132494072794656243758231623582040984686280248355605966112392011
m: 100000000000000000000000000000
deg: 5
c5: 830000
c0: 43
skew: 0.14
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 2150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 419222 x 419470
Total sieving time: 18.27 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.34 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,150.000,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 18.78 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
3025e40--
351e6118 / 904Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)

83×10151+439

c144

name 名前Robert Backstrom
date 日付June 1, 2010 08:31:18 UTC 2010 年 6 月 1 日 (火) 17 時 31 分 18 秒 (日本時間)
composite number 合成数
113705653423675943685847108513298048575808339802222624929288115197319258417936973451954309541113205134973776001448332747216993546521523301558657<144>
prime factors 素因数
3271217537196361373261196597228949079927510120424052048790297671<64>
34759428907051171293559743038481129560362844222649791264578253050422262699595767<80>
factorization results 素因数分解の結果
Number: n
N=113705653423675943685847108513298048575808339802222624929288115197319258417936973451954309541113205134973776001448332747216993546521523301558657
  ( 144 digits)
SNFS difficulty: 152 digits.
Divisors found:

Tue Jun  1 18:04:33 2010  prp64 factor: 3271217537196361373261196597228949079927510120424052048790297671
Tue Jun  1 18:04:33 2010  prp80 factor: 34759428907051171293559743038481129560362844222649791264578253050422262699595767
Tue Jun  1 18:04:33 2010  elapsed time 00:24:24 (Msieve 1.42 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=0.879).
Factorization parameters were as follows:
name: KA_9_2_150_7
n: 113705653423675943685847108513298048575808339802222624929288115197319258417936973451954309541113205134973776001448332747216993546521523301558657
m: 1000000000000000000000000000000
deg: 5
c5: 830
c0: 43
skew: 0.55
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 3450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1170524 hash collisions in 10832463 relations
Msieve: matrix is 365493 x 365726 (102.7 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,152,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2034788k/2097088k available (3786k kernel code, 388k absent, 61912k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6026.89 BogoMIPS (lpj=3013446)
Calibrating delay using timer specific routine.. 6026.96 BogoMIPS (lpj=3013483)
Total of 2 processors activated (12053.85 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)

83×10152+439

c110

name 名前Sinkiti Sibata
date 日付June 2, 2010 03:58:48 UTC 2010 年 6 月 2 日 (水) 12 時 58 分 48 秒 (日本時間)
composite number 合成数
48116043222342292750216837611955552629552151924006910577478626819433872643669673284179844145148866667637704403<110>
prime factors 素因数
123856612316786708743529298324079113652154813698625663<54>
388481828481441207990678906141755703910656020439639383981<57>
factorization results 素因数分解の結果
Number: 92227_152
N=48116043222342292750216837611955552629552151924006910577478626819433872643669673284179844145148866667637704403
  ( 110 digits)
Divisors found:
 r1=123856612316786708743529298324079113652154813698625663 (pp54)
 r2=388481828481441207990678906141755703910656020439639383981 (pp57)
Version: Msieve-1.40
Total time: 17.63 hours.
Scaled time: 47.89 units (timescale=2.717).
Factorization parameters were as follows:
name: 92227_152
n: 48116043222342292750216837611955552629552151924006910577478626819433872643669673284179844145148866667637704403
skew: 32014.62
# norm 2.18e+15
c5: 32760
c4: 2275283106
c3: -134884222019533
c2: -1834857963554791070
c1: 48746888702694457420304
c0: 132306591837804457330464375
# alpha -6.68
Y1: 498695657669
Y0: -1079907150790338145574
# Murphy_E 1.09e-09
# M 20256086534233020999683709822048145420292001809800454449738842083671577446515668498595260918926170032269979763
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 345037 x 345285
Polynomial selection time: 1.50 hours.
Total sieving time: 15.72 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 17.63 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
3025e40--
351e6118 / 904Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)

83×10156+439

c148

name 名前Robert Backstrom
date 日付June 1, 2010 17:03:00 UTC 2010 年 6 月 2 日 (水) 2 時 3 分 0 秒 (日本時間)
composite number 合成数
1606998249251439755313138440782833762969533174659646651410014643006963642745500942331682151325507164694344868351683910334561169000230732208423356337<148>
prime factors 素因数
24306363364927457579004526249054893190787981318938081217093<59>
66114302050229217695490831894022042476604236943413876540072788803026898702003539714192509<89>
factorization results 素因数分解の結果
Number: n
N=1606998249251439755313138440782833762969533174659646651410014643006963642745500942331682151325507164694344868351683910334561169000230732208423356337
  ( 148 digits)
SNFS difficulty: 157 digits.
Divisors found:

Wed Jun  2 02:24:22 2010  prp59 factor: 24306363364927457579004526249054893190787981318938081217093
Wed Jun  2 02:24:22 2010  prp89 factor: 66114302050229217695490831894022042476604236943413876540072788803026898702003539714192509
Wed Jun  2 02:24:22 2010  elapsed time 00:49:03 (Msieve 1.42 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=0.884).
Factorization parameters were as follows:
name: KA_9_2_155_7
n: 1606998249251439755313138440782833762969533174659646651410014643006963642745500942331682151325507164694344868351683910334561169000230732208423356337
m: 10000000000000000000000000000000
deg: 5
c5: 830
c0: 43
skew: 0.55
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 3700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 953073 hash collisions in 8216241 relations
Msieve: matrix is 572256 x 572481 (162.6 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,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2034788k/2097088k available (3786k kernel code, 388k absent, 61912k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6026.89 BogoMIPS (lpj=3013446)
Calibrating delay using timer specific routine.. 6026.96 BogoMIPS (lpj=3013483)
Total of 2 processors activated (12053.85 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)

83×10158+439

c153

name 名前Sinkiti Sibata
date 日付June 2, 2010 11:23:10 UTC 2010 年 6 月 2 日 (水) 20 時 23 分 10 秒 (日本時間)
composite number 合成数
152343806713079400435714300004711645202800901456849139856772226424525179687225683638702822954599471521169979878319881283427190884275220943947555846440453<153>
prime factors 素因数
200519261186010511881330308520687721893896483<45>
2060269898484913839534135154002733737324784916347<49>
368760665669497436226733354163263782896680874154664413777653<60>
factorization results 素因数分解の結果
Number: 92227_158
N=152343806713079400435714300004711645202800901456849139856772226424525179687225683638702822954599471521169979878319881283427190884275220943947555846440453
  ( 153 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=200519261186010511881330308520687721893896483 (pp45)
 r2=2060269898484913839534135154002733737324784916347 (pp49)
 r3=368760665669497436226733354163263782896680874154664413777653 (pp60)
Version: Msieve v. 1.42
Total time: 1.39 hours.
Scaled time: 1.43 units (timescale=1.024).
Factorization parameters were as follows:
name: 92227_158
n: 152343806713079400435714300004711645202800901456849139856772226424525179687225683638702822954599471521169979878319881283427190884275220943947555846440453
m: 10000000000000000000000000000000
deg: 5
c5: 83000
c0: 43
skew: 0.22
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 3900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 648966 x 649191
Total sieving time: 0.00 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.95 hours.
Time per square root: 0.38 hours.
Prototype def-par.txt line would be:
snfs,159.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 1.39 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: 27 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)

83×10159+439

c129

name 名前Sinkiti Sibata
date 日付June 3, 2010 06:36:31 UTC 2010 年 6 月 3 日 (木) 15 時 36 分 31 秒 (日本時間)
composite number 合成数
510198070995506730639058676603378502514756637490541967578363450617244002348904646841888881389205891059559164252301568280553227003<129>
prime factors 素因数
580154685183085727009410660908722284874181948833631401437<57>
879417307186785837311833082431526540482382421604653382091225608570088119<72>
factorization results 素因数分解の結果
Number: 92227_159
N=510198070995506730639058676603378502514756637490541967578363450617244002348904646841888881389205891059559164252301568280553227003
  ( 129 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=580154685183085727009410660908722284874181948833631401437 (pp57)
 r2=879417307186785837311833082431526540482382421604653382091225608570088119 (pp72)
Version: Msieve-1.40
Total time: 43.42 hours.
Scaled time: 87.27 units (timescale=2.010).
Factorization parameters were as follows:
name: 92227_159
n: 510198070995506730639058676603378502514756637490541967578363450617244002348904646841888881389205891059559164252301568280553227003
m: 10000000000000000000000000000000
deg: 5
c5: 830000
c0: 43
skew: 0.14
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, 3700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 667772 x 668019
Total sieving time: 42.01 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.13 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,160.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 43.42 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
3025e40--
351e6118 / 904Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)

83×10160+439

c124

name 名前Sinkiti Sibata
date 日付June 2, 2010 20:29:02 UTC 2010 年 6 月 3 日 (木) 5 時 29 分 2 秒 (日本時間)
composite number 合成数
1879146534707663491145881284764153001408495188932889303592934415275375460229125418366238598269380480764528937956173365725039<124>
prime factors 素因数
478770515330772086714594359492908415387<39>
3924942064173275612733586120048894058294623096379298352043717868076964466039991697597<85>
factorization results 素因数分解の結果
Number: 92227_160
N=1879146534707663491145881284764153001408495188932889303592934415275375460229125418366238598269380480764528937956173365725039
  ( 124 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=478770515330772086714594359492908415387 (pp39)
 r2=3924942064173275612733586120048894058294623096379298352043717868076964466039991697597 (pp85)
Version: Msieve-1.40
Total time: 32.89 hours.
Scaled time: 78.09 units (timescale=2.374).
Factorization parameters were as follows:
name: 92227_160
n: 1879146534707663491145881284764153001408495188932889303592934415275375460229125418366238598269380480764528937956173365725039
m: 100000000000000000000000000000000
deg: 5
c5: 83
c0: 43
skew: 0.88
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 3250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 620182 x 620430
Total sieving time: 31.69 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.88 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 32.89 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
3025e40--
351e6118 / 904Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)

83×10162+439

c163

name 名前Dmitry Domanov
date 日付June 5, 2010 11:18:10 UTC 2010 年 6 月 5 日 (土) 20 時 18 分 10 秒 (日本時間)
composite number 合成数
1317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317461<163>
prime factors 素因数
13626983974170541532640821329011848663<38>
96680257345096769176967881473750863871861063878917322912654757681395976145047893404845225782988060797521182485685699012028147<125>
factorization results 素因数分解の結果
Number: sss163
N=1317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317461
  ( 163 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=13626983974170541532640821329011848663 (pp38)
 r2=96680257345096769176967881473750863871861063878917322912654757681395976145047893404845225782988060797521182485685699012028147 (pp125)
Version: Msieve-1.40
Total time: 36.47 hours.
Scaled time: 70.52 units (timescale=1.934).
Factorization parameters were as follows:
n: 1317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317461
m: 100000000000000000000000000000000
deg: 5
c5: 8300
c0: 43
skew: 0.35
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 1900000)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 832274 x 832500
Total sieving time: 35.27 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.89 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 36.47 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 KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)

83×10163+439

c164

name 名前Sinkiti Sibata
date 日付June 4, 2010 04:36:30 UTC 2010 年 6 月 4 日 (金) 13 時 36 分 30 秒 (日本時間)
composite number 合成数
92222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227<164>
prime factors 素因数
115886965553736608898596088326669887347777251843566416894269<60>
795794607111866421735237541506691734544975299373492156617742207524053830119985368840051725726446152359183<105>
factorization results 素因数分解の結果
Number: 92227_163
N=92222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227
  ( 164 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=115886965553736608898596088326669887347777251843566416894269 (pp60)
 r2=795794607111866421735237541506691734544975299373492156617742207524053830119985368840051725726446152359183 (pp105)
Version: Msieve-1.40
Total time: 72.24 hours.
Scaled time: 144.70 units (timescale=2.003).
Factorization parameters were as follows:
name: 92227_163
n: 92222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227
m: 100000000000000000000000000000000
deg: 5
c5: 83000
c0: 43
skew: 0.22
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 5250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 835410 x 835658
Total sieving time: 70.15 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.78 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 72.24 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)

83×10165+439

c166

name 名前Sinkiti Sibata
date 日付June 2, 2010 11:10:23 UTC 2010 年 6 月 2 日 (水) 20 時 10 分 23 秒 (日本時間)
composite number 合成数
9222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227<166>
prime factors 素因数
21090776151748016490076372293354227890468291981487687595851740669<65>
437263292534536656981529029734572032473661600637466461520072856600951252669140967251135213875581234383<102>
factorization results 素因数分解の結果
Number: 92227_165
N=9222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227
  ( 166 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=21090776151748016490076372293354227890468291981487687595851740669 (pp65)
 r2=437263292534536656981529029734572032473661600637466461520072856600951252669140967251135213875581234383 (pp102)
Version: Msieve v. 1.42
Total time: 3.21 hours.
Scaled time: 2.73 units (timescale=0.851).
Factorization parameters were as follows:
name: 92227_165
n: 9222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227
m: 1000000000000000000000000000000000
deg: 5
c5: 83
c0: 43
skew: 0.88
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 853762 x 853997
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 2.55 hours.
Time per square root: 0.57 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 3.21 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5826.45 BogoMIPS (lpj=2913229)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11652.99 BogoMIPS).

Total time: 25 hours 30 min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)

83×10167+439

c158

name 名前Robert Backstrom
date 日付June 2, 2010 17:06:54 UTC 2010 年 6 月 3 日 (木) 2 時 6 分 54 秒 (日本時間)
composite number 合成数
14592358918507070057660517024391139653640821780492334257193525065485702379991588583476385907107738467093020727391753265063698424528196207181001066989998203307<158>
prime factors 素因数
229335202208607151610633844605721322624458860993936247719<57>
63628953505505078574512286428778322488826636061539977037528207138486137278739035091196681970407221853<101>
factorization results 素因数分解の結果
Number: n
N=14592358918507070057660517024391139653640821780492334257193525065485702379991588583476385907107738467093020727391753265063698424528196207181001066989998203307
  ( 158 digits)
SNFS difficulty: 168 digits.
Divisors found:

Wed Jun  2 21:39:46 2010  prp57 factor: 229335202208607151610633844605721322624458860993936247719
Wed Jun  2 21:39:46 2010  prp101 factor: 63628953505505078574512286428778322488826636061539977037528207138486137278739035091196681970407221853
Wed Jun  2 21:39:46 2010  elapsed time 02:01:02 (Msieve 1.42 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=0.881).
Factorization parameters were as follows:
name: KA_9_2_166_7
n: 14592358918507070057660517024391139653640821780492334257193525065485702379991588583476385907107738467093020727391753265063698424528196207181001066989998203307
m: 1000000000000000000000000000000000
deg: 5
c5: 8300
c0: 43
skew: 0.35
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1317226 hash collisions in 11515090 relations
Msieve: matrix is 866323 x 866550 (245.5 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,168,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2034788k/2097088k available (3786k kernel code, 388k absent, 61912k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6026.89 BogoMIPS (lpj=3013446)
Calibrating delay using timer specific routine.. 6026.96 BogoMIPS (lpj=3013483)
Total of 2 processors activated (12053.85 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)

83×10170+439

c158

name 名前Sinkiti Sibata
date 日付June 5, 2010 21:50:24 UTC 2010 年 6 月 6 日 (日) 6 時 50 分 24 秒 (日本時間)
composite number 合成数
70776198858044201113398509616229086585223465676382434472639428243817066536519843600443985266019330623658046085696608963708975346516217634719416938632208026569<158>
prime factors 素因数
4649449376716056992963665685955911914130462164384230601<55>
15222490476503261180442960480611947516016821908225597280149797608267264432918019700466006017264590055169<104>
factorization results 素因数分解の結果
Number: 92227_170
N=70776198858044201113398509616229086585223465676382434472639428243817066536519843600443985266019330623658046085696608963708975346516217634719416938632208026569
  ( 158 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=4649449376716056992963665685955911914130462164384230601 (pp55)
 r2=15222490476503261180442960480611947516016821908225597280149797608267264432918019700466006017264590055169 (pp104)
Version: Msieve-1.40
Total time: 80.32 hours.
Scaled time: 257.43 units (timescale=3.205).
Factorization parameters were as follows:
name: 92227_170
n: 70776198858044201113398509616229086585223465676382434472639428243817066536519843600443985266019330623658046085696608963708975346516217634719416938632208026569
m: 10000000000000000000000000000000000
deg: 5
c5: 83
c0: 43
skew: 0.88
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
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, 5550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 990695 x 990943
Total sieving time: 77.79 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.30 hours.
Time per square root: 0.09 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: 80.32 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
3025e40--
351e6118 / 904Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)

83×10172+439

c163

name 名前Serge Batalov
date 日付June 1, 2010 09:24:07 UTC 2010 年 6 月 1 日 (火) 18 時 24 分 7 秒 (日本時間)
composite number 合成数
4472856276049830378354956392183241560488596648590117100769981981450338663696023719230216382396486633717678835660788157174903538839479579306655983035400898412230541<163>
prime factors 素因数
940402077049144761930832727476190249563<39>
4756323263433287806219345544302021014232466468941604078533217543521648076964972872354571383153785529035266650520002076017207<124>
factorization results 素因数分解の結果
Using B1=5000000, B2=23417929090, polynomial Dickson(12), sigma=2591479875
Step 1 took 19697ms
Step 2 took 15309ms
********** Factor found in step 2: 940402077049144761930832727476190249563
Found probable prime factor of 39 digits: 940402077049144761930832727476190249563
Probable prime cofactor has 124 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)

83×10173+439

c129

name 名前Sinkiti Sibata
date 日付June 9, 2010 03:22:42 UTC 2010 年 6 月 9 日 (水) 12 時 22 分 42 秒 (日本時間)
composite number 合成数
190123742544278887954776910557532042935016647627116730047094988642123070963669311788310099989655855743746416208068816885932121853<129>
prime factors 素因数
4804997392019604164541754090354229758571659050963456389<55>
39567917947270176578852137131157283714231591012456190919313151915935569177<74>
factorization results 素因数分解の結果
Number: 92227_173
N=190123742544278887954776910557532042935016647627116730047094988642123070963669311788310099989655855743746416208068816885932121853
  ( 129 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=4804997392019604164541754090354229758571659050963456389 (pp55)
 r2=39567917947270176578852137131157283714231591012456190919313151915935569177 (pp74)
Version: Msieve-1.40
Total time: 160.64 hours.
Scaled time: 533.64 units (timescale=3.322).
Factorization parameters were as follows:
name: 92227_173
n: 190123742544278887954776910557532042935016647627116730047094988642123070963669311788310099989655855743746416208068816885932121853
m: 10000000000000000000000000000000000
deg: 5
c5: 83000
c0: 43
skew: 0.22
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 10100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1272565 x 1272813
Total sieving time: 157.27 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 3.13 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000
total time: 160.64 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
351e6318118Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)
200Lionel DebrouxJune 1, 2010 15:19:21 UTC 2010 年 6 月 2 日 (水) 0 時 19 分 21 秒 (日本時間)
403e62318Wataru SakaiJune 1, 2010 19:13:41 UTC 2010 年 6 月 2 日 (水) 4 時 13 分 41 秒 (日本時間)

83×10174+439

c130

name 名前Wataru Sakai
date 日付June 18, 2010 05:30:49 UTC 2010 年 6 月 18 日 (金) 14 時 30 分 49 秒 (日本時間)
composite number 合成数
2562908441899859695985016718626757487283737451369794757858160110265919544574963958865805071693234946270694791029785288386320556109<130>
prime factors 素因数
5015585344343342106762537674971094093<37>
composite cofactor 合成数の残り
510988900785099608556713111980976203775719351780656817936497658026605936450100210117481485313<93>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3135465038
Step 1 took 11568ms
Step 2 took 5210ms
********** Factor found in step 2: 5015585344343342106762537674971094093
Found probable prime factor of 37 digits: 5015585344343342106762537674971094093
Composite cofactor 510988900785099608556713111980976203775719351780656817936497658026605936450100210117481485313 has 93 digits
software ソフトウェア
GMP-ECM 6.2.3

c93

name 名前Erik Branger
date 日付June 18, 2010 17:08:17 UTC 2010 年 6 月 19 日 (土) 2 時 8 分 17 秒 (日本時間)
composite number 合成数
510988900785099608556713111980976203775719351780656817936497658026605936450100210117481485313<93>
prime factors 素因数
567755285589413931607698563817779217555617167<45>
900016105098198385842478535241921322415526147439<48>
factorization results 素因数分解の結果
Number: 92227_174
N = 510988900785099608556713111980976203775719351780656817936497658026605936450100210117481485313 (93 digits)
Divisors found:
r1=567755285589413931607698563817779217555617167 (pp45)
r2=900016105098198385842478535241921322415526147439 (pp48)
Version: Msieve v. 1.45
Total time: 3.41 hours.
Factorization parameters were as follows:
n: 510988900785099608556713111980976203775719351780656817936497658026605936450100210117481485313
Y0: -54020439854364726956799
Y1: 872284554449
c0: -1973495506597381247748265856
c1: -3200203101034333776010
c2: 615983393105009
c3: 237444310
c4: 60
skew: 3335588.78
type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Sieved algebraic special-q in [600000, 1140000)
Relations: 2199071
Relations in full relation-set: 205112 relations
Pruned matrix : 128887 x 129113
Polynomial selection time: 0.18 hours.
Total sieving time: 3.10 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: gnfs,92,4,60,2000,0.0001,0.3,220,15,10000,600,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 3.41 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 17, 2010 10:50:06 UTC 2010 年 6 月 17 日 (木) 19 時 50 分 6 秒 (日本時間)
403e62126110Ignacio SantosJune 17, 2010 10:50:06 UTC 2010 年 6 月 17 日 (木) 19 時 50 分 6 秒 (日本時間)
2016Wataru SakaiJune 18, 2010 05:18:29 UTC 2010 年 6 月 18 日 (金) 14 時 18 分 29 秒 (日本時間)
4511e632 / 3991Ignacio SantosJune 17, 2010 10:50:06 UTC 2010 年 6 月 17 日 (木) 19 時 50 分 6 秒 (日本時間)

83×10176+439

c155

name 名前Robert Backstrom
date 日付January 16, 2012 01:14:55 UTC 2012 年 1 月 16 日 (月) 10 時 14 分 55 秒 (日本時間)
composite number 合成数
11576564559219967031794177867204251421257488872608046973060117375651267074919639113348346947849232561568628563410082812931830021414365244551946111955603527<155>
prime factors 素因数
479897927564661037516782120695355132786815105764663776306883<60>
24122972603710922663339317338360970479715894144254855616221039408714962378967129053787531444269<95>
factorization results 素因数分解の結果
Number: n
N=11576564559219967031794177867204251421257488872608046973060117375651267074919639113348346947849232561568628563410082812931830021414365244551946111955603527
  ( 155 digits)
SNFS difficulty: 177 digits.
Divisors found:

Mon Jan 16 10:38:54 2012  prp60 factor: 479897927564661037516782120695355132786815105764663776306883
Mon Jan 16 10:38:54 2012  prp95 factor: 24122972603710922663339317338360970479715894144254855616221039408714962378967129053787531444269
Mon Jan 16 10:38:54 2012  elapsed time 02:41:17 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.651).
Factorization parameters were as follows:
name: KA_92227_176
n: 11576564559219967031794177867204251421257488872608046973060117375651267074919639113348346947849232561568628563410082812931830021414365244551946111955603527
m: 100000000000000000000000000000000000
deg: 5
c5: 830
c0: 43
skew: 0.55
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 9334442 hash collisions in 75000097 relations
Msieve: matrix is 1231284 x 1231521 (343.3 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
351e6118Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)
403e690Rich DickersonJanuary 14, 2011 16:37:07 UTC 2011 年 1 月 15 日 (土) 1 時 37 分 7 秒 (日本時間)
4511e6100 / 3754Rich DickersonJanuary 14, 2011 18:32:39 UTC 2011 年 1 月 15 日 (土) 3 時 32 分 39 秒 (日本時間)
5043e6200 / 7527Rich DickersonJanuary 15, 2011 17:29:27 UTC 2011 年 1 月 16 日 (日) 2 時 29 分 27 秒 (日本時間)

83×10177+439

c140

name 名前Ignacio Santos
date 日付January 16, 2011 11:13:23 UTC 2011 年 1 月 16 日 (日) 20 時 13 分 23 秒 (日本時間)
composite number 合成数
31178107804215218365816363128314986554506819376711312322203332295954633636828183000133154608385539458744499626981069106115782450072773279007<140>
prime factors 素因数
1029464952032764967121366533034091<34>
composite cofactor 合成数の残り
30285739929903808024701755256595407626151427445206794100939809804863198216460604960610229756680352276194077<107>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1465677163
Step 1 took 20373ms
********** Factor found in step 1: 1029464952032764967121366533034091
Found probable prime factor of 34 digits: 1029464952032764967121366533034091
Composite cofactor 30285739929903808024701755256595407626151427445206794100939809804863198216460604960610229756680352276194077 has 107 digits
software ソフトウェア
GMP-ECM 6.3

c107

name 名前Nicolai Caraibendko
date 日付January 17, 2011 06:26:43 UTC 2011 年 1 月 17 日 (月) 15 時 26 分 43 秒 (日本時間)
composite number 合成数
30285739929903808024701755256595407626151427445206794100939809804863198216460604960610229756680352276194077<107>
prime factors 素因数
74316987939106553364891932722064274113<38>
407521089992495010304249984027311737416245106222996978672981034529629<69>
factorization results 素因数分解の結果
n: 30285739929903808024701755256595407626151427445206794100939809804863198216460604960610229756680352276194077
skew: 2288.169
# lognorm: 31.61, alpha: -4.31 E=27.29
# Murphy's E(Bf=10000000,Bg=5000000,area=1.00e+16)=1.37e-09
c5: 445800
c4: 1767342808
c3: -10457548608240
c2: -22478516053110355
c1: 23735839375686914540
c0: -12531943470742758328448
Y1: 28825836421
Y0: -146696434135484308455
m: 12102472546366799526875230431432134677313301332479264087169634037548873107098615135671495723793085680568926
type: gnfs
rlim: 2000000
alim: 4000000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.2
alambda: 2.2
.........
Info:--------------------------------------------------------------------------
Info:Duplicate and singleton removal
Info:--------------------------------------------------------------------------
Info:Removing duplicates...
    Info:Number of relations left: 5510819.
Info:Removing singletons...
    Info:Not enough relations! Continuing sieving...
Info:Starting job: 5450000  5500000 
    Info:Imported   192787 relations from `c107.rels.5450000-5500000.gz'.
Info:Running total: 6001279 relations.
Info:Number of primes in alg factor base = 283230
Info:Number of primes in rat factor base = 148933
Info:Approx. number of large primes: 7500000
Info:--------------------------------------------------------------------------
Info:Duplicate and singleton removal
Info:--------------------------------------------------------------------------
Info:Removing duplicates...
    Info:Number of relations left: 5684470.
Info:Removing singletons...
    Info:Nrows: 1235158; Ncols: 1234998; Excess: 160.
Info:All done!
Info:Duplicates has already been done
Info:Purge has already been done
Info:--------------------------------------------------------------------------
Info:Merge
Info:--------------------------------------------------------------------------
Info:Merging relations...
    Info:Minimal bwcost: 9225133892664.
Info:Replaying merge history...
    Info:Nrows: 375072; Ncols: 374912; Weight: 38012491.
Info:--------------------------------------------------------------------------
Info:Linear algebra
Info:--------------------------------------------------------------------------
Info:Calling Block-Wiedemann...
Info:Adding characters...
    Info:25 vectors remaining after characters.
Info:--------------------------------------------------------------------------
Info:Square root
Info:--------------------------------------------------------------------------
Info:Preparing 25 dependency files
Info:Testing dependency number 0...
Info:Testing dependency number 1...
    Info:Factorization was successful!
    Info:407521089992495010304249984027311737416245106222996978672981034529629 [prime]
    Info:74316987939106553364891932722064274113 [prime]
    Info:Doing gcds with previously known composite factors
    Info:non-trivial factor: 407521089992495010304249984027311737416245106222996978672981034529629 [prime]
    Info:non-trivial factor: 74316987939106553364891932722064274113 [prime]
    Info:Now: 2 prime factors, 0 composite factors
    Info:Factorization complete
Info:--------------------------------------------------------------------------
Info:All done!
Info:--------------------------------------------------------------------------
74316987939106553364891932722064274113 407521089992495010304249984027311737416245106222996978672981034529629
OK

real 659m59.505s
user    993m38.220s
sys     18m34.919s
software ソフトウェア
CADO-NFS 1.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)

83×10178+439

c140

name 名前Dmitry Domanov
date 日付May 13, 2013 06:01:54 UTC 2013 年 5 月 13 日 (月) 15 時 1 分 54 秒 (日本時間)
composite number 合成数
16741004938065407441206547252774606359861332986592561317733721378948468143536488508058648728680469233909418824927584940400970368487099420497<140>
prime factors 素因数
3135584409832136273334779152345302933139099<43>
5339038198292878452594410043332692039724275827114160217510522414416347620662528875183842262876803<97>
factorization results 素因数分解の結果
N=16741004938065407441206547252774606359861332986592561317733721378948468143536488508058648728680469233909418824927584940400970368487099420497
  ( 140 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=3135584409832136273334779152345302933139099 (pp43)
 r2=5339038198292878452594410043332692039724275827114160217510522414416347620662528875183842262876803 (pp97)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 175.27 hours.
Scaled time: 336.86 units (timescale=1.922).
Factorization parameters were as follows:
n: 16741004938065407441206547252774606359861332986592561317733721378948468143536488508058648728680469233909418824927584940400970368487099420497
m: 100000000000000000000000000000000000
deg: 5
c5: 83000
c0: 43
skew: 0.22
# Murphy_E = 6.175e-11
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3500000, 13100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1614958 x 1615185
Total sieving time: 172.16 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.54 hours.
Time per square root: 0.35 hours.
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000
total time: 175.27 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
351e6418118Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 16, 2011 11:16:04 UTC 2011 年 1 月 16 日 (日) 20 時 16 分 4 秒 (日本時間)
403e62126110Ignacio SantosJanuary 16, 2011 11:16:04 UTC 2011 年 1 月 16 日 (日) 20 時 16 分 4 秒 (日本時間)
2016Wataru SakaiApril 3, 2012 01:18:24 UTC 2012 年 4 月 3 日 (火) 10 時 18 分 24 秒 (日本時間)
4511e632 / 3991Ignacio SantosJanuary 16, 2011 11:16:04 UTC 2011 年 1 月 16 日 (日) 20 時 16 分 4 秒 (日本時間)

83×10181+439

c176

name 名前Serge Batalov
date 日付May 31, 2010 18:30:11 UTC 2010 年 6 月 1 日 (火) 3 時 30 分 11 秒 (日本時間)
composite number 合成数
25568285173003796951958516781928804278196373733287852590888245615478066400590152987988358482514265639881300314265029939075705258789398378557930849248127608292392501764596741473<176>
prime factors 素因数
1757856624746923733514355380724249<34>
composite cofactor 合成数の残り
14545148229415370415285855900688151594639572520122493203665396879169993379522073813041927189911647918367192419087409460896595626717421726000777<143>
factorization results 素因数分解の結果
Using B1=500000, B2=348010752, polynomial Dickson(3), sigma=20765407
Step 1 took 2089ms
Step 2 took 1220ms
********** Factor found in step 2: 1757856624746923733514355380724249
Found probable prime factor of 34 digits: 1757856624746923733514355380724249
Composite cofactor has 143 digits

c143

name 名前Ignacio Santos
date 日付January 16, 2011 11:15:20 UTC 2011 年 1 月 16 日 (日) 20 時 15 分 20 秒 (日本時間)
composite number 合成数
14545148229415370415285855900688151594639572520122493203665396879169993379522073813041927189911647918367192419087409460896595626717421726000777<143>
prime factors 素因数
177643351022786862955967135398775659<36>
composite cofactor 合成数の残り
81878371161494353889840056070827676575203479587333533658931433211151914436643401147001089032651553330538203<107>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2014655769
Step 1 took 74241ms
Step 2 took 36021ms
********** Factor found in step 2: 177643351022786862955967135398775659
Found probable prime factor of 36 digits: 177643351022786862955967135398775659
Composite cofactor 81878371161494353889840056070827676575203479587333533658931433211151914436643401147001089032651553330538203 has 107 digits
software ソフトウェア
GMP-ECM 6.3

c107

name 名前Dmitry Domanov
date 日付January 16, 2011 20:55:55 UTC 2011 年 1 月 17 日 (月) 5 時 55 分 55 秒 (日本時間)
composite number 合成数
81878371161494353889840056070827676575203479587333533658931433211151914436643401147001089032651553330538203<107>
prime factors 素因数
19547918335974632055500523269210561<35>
4188597975202867657959384214477812795462525768598755485114521744165607323<73>
factorization results 素因数分解の結果
N=81878371161494353889840056070827676575203479587333533658931433211151914436643401147001089032651553330538203
  ( 107 digits)
Divisors found:
 r1=19547918335974632055500523269210561 (pp35)
 r2=4188597975202867657959384214477812795462525768598755485114521744165607323 (pp73)
Version: Msieve v. 1.47
Total time: 1.22 hours.
Scaled time: 2.02 units (timescale=1.655).
Factorization parameters were as follows:
name: 107
n: 81878371161494353889840056070827676575203479587333533658931433211151914436643401147001089032651553330538203
skew: 25617.37
# norm 6.96e+14
c5: 31800
c4: 343543450
c3: -51272168011468
c2: 107231228722755025
c1: 16390761156480762764994
c0: -58230017759044632964072536
# alpha -5.97
Y1: 81655719167
Y0: -303492639286349500445
# Murphy_E 1.35e-09
# M 49838701000723291002366671054811731198437407250124205844354359847634584545144345151904817356440782341605259
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2450001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 338768 x 338993
Polynomial selection time: 0.95 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 1.22 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)

83×10183+439

c176

name 名前Robert Backstrom
date 日付January 20, 2012 06:25:43 UTC 2012 年 1 月 20 日 (金) 15 時 25 分 43 秒 (日本時間)
composite number 合成数
13277802753084796039560728263081844340815865183610262874279649185612119121662783231708046562208999005636070047798379794100079278928707238840033061684062593541370519573893098929<176>
prime factors 素因数
186473333038098703333879690898976558739<39>
71204834153803558534543178612817240310669624195950861995787672763179892554376973284437841803131582627622187084860865381198175115181095211<137>
factorization results 素因数分解の結果
Number: n
N=13277802753084796039560728263081844340815865183610262874279649185612119121662783231708046562208999005636070047798379794100079278928707238840033061684062593541370519573893098929
  ( 176 digits)
SNFS difficulty: 184 digits.
Divisors found:

Fri Jan 20 11:29:57 2012  prp39 factor: 186473333038098703333879690898976558739
Fri Jan 20 11:29:57 2012  prp137 factor: 71204834153803558534543178612817240310669624195950861995787672763179892554376973284437841803131582627622187084860865381198175115181095211
Fri Jan 20 11:29:57 2012  elapsed time 03:21:02 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.653).
Factorization parameters were as follows:
name: KA_92227_183
n: 13277802753084796039560728263081844340815865183610262874279649185612119121662783231708046562208999005636070047798379794100079278928707238840033061684062593541370519573893098929
m: 1000000000000000000000000000000000000
deg: 5
c5: 83000
c0: 43
skew: 0.22
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 7613708 hash collisions in 75389139 relations
Msieve: matrix is 1318675 x 1318906 (368.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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 KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 16, 2011 11:17:09 UTC 2011 年 1 月 16 日 (日) 20 時 17 分 9 秒 (日本時間)
403e6110 / 2126Ignacio SantosJanuary 16, 2011 11:17:09 UTC 2011 年 1 月 16 日 (日) 20 時 17 分 9 秒 (日本時間)
4511e632 / 4437Ignacio SantosJanuary 16, 2011 11:17:09 UTC 2011 年 1 月 16 日 (日) 20 時 17 分 9 秒 (日本時間)

83×10184+439

c164

name 名前Dmitry Domanov
date 日付January 25, 2013 14:55:30 UTC 2013 年 1 月 25 日 (金) 23 時 55 分 30 秒 (日本時間)
composite number 合成数
45598954117891808773872740372331008125618488590662540577810758769490408234377774384174876543206751079376904457996901723476130750487810097315614129660250496068339163<164>
prime factors 素因数
102124064792542736849644022547005829034259<42>
8489372276233959208873488023963917199904214056355609123253<58>
52595817575987203038540020990952242500419628932499082326103568469<65>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4202440928
Step 1 took 98762ms
Step 2 took 33309ms
********** Factor found in step 2: 102124064792542736849644022547005829034259
Found probable prime factor of 42 digits: 102124064792542736849644022547005829034259
Composite cofactor 446505475575444560676296876321295758570390225759229491858019937984590803891902092953318517265184811636640958082935745509657 has 123 digits

Fri Jan 25 17:29:51 2013  commencing relation filtering
Fri Jan 25 17:29:51 2013  estimated available RAM is 48157.8 MB
Fri Jan 25 17:29:51 2013  commencing duplicate removal, pass 1
Fri Jan 25 17:31:56 2013  found 1020322 hash collisions in 10228329 relations
Fri Jan 25 17:32:15 2013  added 63011 free relations
Fri Jan 25 17:32:15 2013  commencing duplicate removal, pass 2
Fri Jan 25 17:32:19 2013  found 773304 duplicates and 9518036 unique relations
Fri Jan 25 17:32:19 2013  memory use: 49.3 MB
Fri Jan 25 17:32:19 2013  reading ideals above 100000
Fri Jan 25 17:32:19 2013  commencing singleton removal, initial pass
Fri Jan 25 17:34:35 2013  memory use: 344.5 MB
Fri Jan 25 17:34:35 2013  reading all ideals from disk
Fri Jan 25 17:34:35 2013  memory use: 342.1 MB
Fri Jan 25 17:34:36 2013  keeping 10852937 ideals with weight <= 200, target excess is 49850
Fri Jan 25 17:34:36 2013  commencing in-memory singleton removal
Fri Jan 25 17:34:37 2013  begin with 9518036 relations and 10852937 unique ideals
Fri Jan 25 17:34:45 2013  reduce to 2931387 relations and 3014394 ideals in 27 passes
Fri Jan 25 17:34:45 2013  max relations containing the same ideal: 89
Fri Jan 25 17:52:06 2013  
Fri Jan 25 17:52:06 2013  commencing relation filtering
Fri Jan 25 17:52:06 2013  estimated available RAM is 48157.8 MB
Fri Jan 25 17:52:06 2013  commencing duplicate removal, pass 1
Fri Jan 25 17:54:17 2013  found 1151795 hash collisions in 11024522 relations
Fri Jan 25 17:54:36 2013  added 97 free relations
Fri Jan 25 17:54:36 2013  commencing duplicate removal, pass 2
Fri Jan 25 17:54:41 2013  found 871004 duplicates and 10153615 unique relations
Fri Jan 25 17:54:41 2013  memory use: 49.3 MB
Fri Jan 25 17:54:41 2013  reading ideals above 720000
Fri Jan 25 17:54:41 2013  commencing singleton removal, initial pass
Fri Jan 25 17:56:59 2013  memory use: 344.5 MB
Fri Jan 25 17:56:59 2013  reading all ideals from disk
Fri Jan 25 17:57:00 2013  memory use: 293.2 MB
Fri Jan 25 17:57:00 2013  commencing in-memory singleton removal
Fri Jan 25 17:57:01 2013  begin with 10153615 relations and 11064555 unique ideals
Fri Jan 25 17:57:08 2013  reduce to 3836817 relations and 3644015 ideals in 20 passes
Fri Jan 25 17:57:08 2013  max relations containing the same ideal: 71
Fri Jan 25 17:57:09 2013  removing 366211 relations and 337172 ideals in 29039 cliques
Fri Jan 25 17:57:09 2013  commencing in-memory singleton removal
Fri Jan 25 17:57:10 2013  begin with 3470606 relations and 3644015 unique ideals
Fri Jan 25 17:57:12 2013  reduce to 3442452 relations and 3278385 ideals in 10 passes
Fri Jan 25 17:57:12 2013  max relations containing the same ideal: 66
Fri Jan 25 17:57:13 2013  removing 264006 relations and 234967 ideals in 29039 cliques
Fri Jan 25 17:57:13 2013  commencing in-memory singleton removal
Fri Jan 25 17:57:13 2013  begin with 3178446 relations and 3278385 unique ideals
Fri Jan 25 17:57:15 2013  reduce to 3162584 relations and 3027395 ideals in 9 passes
Fri Jan 25 17:57:15 2013  max relations containing the same ideal: 65
Fri Jan 25 17:57:17 2013  relations with 0 large ideals: 497
Fri Jan 25 17:57:17 2013  relations with 1 large ideals: 2962
Fri Jan 25 17:57:17 2013  relations with 2 large ideals: 38534
Fri Jan 25 17:57:17 2013  relations with 3 large ideals: 209894
Fri Jan 25 17:57:17 2013  relations with 4 large ideals: 592906
Fri Jan 25 17:57:17 2013  relations with 5 large ideals: 927520
Fri Jan 25 17:57:17 2013  relations with 6 large ideals: 828724
Fri Jan 25 17:57:17 2013  relations with 7+ large ideals: 561547
Fri Jan 25 17:57:17 2013  commencing 2-way merge
Fri Jan 25 17:57:19 2013  reduce to 1794165 relation sets and 1658977 unique ideals
Fri Jan 25 17:57:19 2013  ignored 1 oversize relation sets
Fri Jan 25 17:57:19 2013  commencing full merge
Fri Jan 25 17:57:43 2013  memory use: 179.8 MB
Fri Jan 25 17:57:43 2013  found 881409 cycles, need 865177
Fri Jan 25 17:57:43 2013  weight of 865177 cycles is about 60746327 (70.21/cycle)
Fri Jan 25 17:57:43 2013  distribution of cycle lengths:
Fri Jan 25 17:57:43 2013  1 relations: 109779
Fri Jan 25 17:57:43 2013  2 relations: 104006
Fri Jan 25 17:57:43 2013  3 relations: 101222
Fri Jan 25 17:57:43 2013  4 relations: 88847
Fri Jan 25 17:57:43 2013  5 relations: 78862
Fri Jan 25 17:57:43 2013  6 relations: 65341
Fri Jan 25 17:57:43 2013  7 relations: 57381
Fri Jan 25 17:57:43 2013  8 relations: 47479
Fri Jan 25 17:57:43 2013  9 relations: 39792
Fri Jan 25 17:57:43 2013  10+ relations: 172468
Fri Jan 25 17:57:43 2013  heaviest cycle: 22 relations
Fri Jan 25 17:57:43 2013  commencing cycle optimization
Fri Jan 25 17:57:45 2013  start with 5173522 relations
Fri Jan 25 17:57:51 2013  pruned 104808 relations
Fri Jan 25 17:57:51 2013  memory use: 176.9 MB
Fri Jan 25 17:57:51 2013  distribution of cycle lengths:
Fri Jan 25 17:57:51 2013  1 relations: 109779
Fri Jan 25 17:57:51 2013  2 relations: 106151
Fri Jan 25 17:57:51 2013  3 relations: 104628
Fri Jan 25 17:57:51 2013  4 relations: 90456
Fri Jan 25 17:57:51 2013  5 relations: 80029
Fri Jan 25 17:57:51 2013  6 relations: 65890
Fri Jan 25 17:57:51 2013  7 relations: 57350
Fri Jan 25 17:57:51 2013  8 relations: 47107
Fri Jan 25 17:57:51 2013  9 relations: 39447
Fri Jan 25 17:57:51 2013  10+ relations: 164340
Fri Jan 25 17:57:51 2013  heaviest cycle: 22 relations
Fri Jan 25 17:57:53 2013  RelProcTime: 347
Fri Jan 25 17:57:53 2013  
Fri Jan 25 17:57:53 2013  commencing linear algebra
Fri Jan 25 17:57:53 2013  read 865177 cycles
Fri Jan 25 17:57:54 2013  cycles contain 3012909 unique relations
Fri Jan 25 17:58:31 2013  read 3012909 relations
Fri Jan 25 17:58:35 2013  using 20 quadratic characters above 134217542
Fri Jan 25 17:58:51 2013  building initial matrix
Fri Jan 25 17:59:27 2013  memory use: 383.4 MB
Fri Jan 25 17:59:28 2013  read 865177 cycles
Fri Jan 25 17:59:28 2013  matrix is 864989 x 865177 (260.0 MB) with weight 82573250 (95.44/col)
Fri Jan 25 17:59:28 2013  sparse part has weight 58633588 (67.77/col)
Fri Jan 25 17:59:38 2013  filtering completed in 2 passes
Fri Jan 25 17:59:38 2013  matrix is 861434 x 861622 (259.6 MB) with weight 82408468 (95.64/col)
Fri Jan 25 17:59:38 2013  sparse part has weight 58575998 (67.98/col)
Fri Jan 25 17:59:40 2013  matrix starts at (0, 0)
Fri Jan 25 17:59:41 2013  matrix is 861434 x 861622 (259.6 MB) with weight 82408468 (95.64/col)
Fri Jan 25 17:59:41 2013  sparse part has weight 58575998 (67.98/col)
Fri Jan 25 17:59:41 2013  saving the first 48 matrix rows for later
Fri Jan 25 17:59:41 2013  matrix includes 64 packed rows
Fri Jan 25 17:59:41 2013  matrix is 861386 x 861622 (251.7 MB) with weight 65750942 (76.31/col)
Fri Jan 25 17:59:41 2013  sparse part has weight 57356239 (66.57/col)
Fri Jan 25 17:59:41 2013  using block size 262144 for processor cache size 12288 kB
Fri Jan 25 17:59:43 2013  commencing Lanczos iteration (16 threads)
Fri Jan 25 17:59:43 2013  memory use: 368.6 MB
Fri Jan 25 17:59:53 2013  linear algebra at 0.4%, ETA 0h42m
Fri Jan 25 18:44:57 2013  lanczos halted after 13624 iterations (dim = 861384)
Fri Jan 25 18:44:58 2013  recovered 29 nontrivial dependencies
Fri Jan 25 18:44:58 2013  BLanczosTime: 2825
Fri Jan 25 18:44:58 2013  
Fri Jan 25 18:44:58 2013  commencing square root phase
Fri Jan 25 18:44:58 2013  reading relations for dependency 1
Fri Jan 25 18:44:59 2013  read 430409 cycles
Fri Jan 25 18:44:59 2013  cycles contain 1503776 unique relations
Fri Jan 25 18:45:19 2013  read 1503776 relations
Fri Jan 25 18:45:25 2013  multiplying 1503776 relations
Fri Jan 25 18:47:09 2013  multiply complete, coefficients have about 65.05 million bits
Fri Jan 25 18:47:10 2013  initial square root is modulo 2185021879
Fri Jan 25 18:49:27 2013  GCD is N, no factor found
Fri Jan 25 18:49:27 2013  reading relations for dependency 2
Fri Jan 25 18:49:27 2013  read 430406 cycles
Fri Jan 25 18:49:27 2013  cycles contain 1503470 unique relations
Fri Jan 25 18:49:47 2013  read 1503470 relations
Fri Jan 25 18:49:53 2013  multiplying 1503470 relations
Fri Jan 25 18:51:36 2013  multiply complete, coefficients have about 65.05 million bits
Fri Jan 25 18:51:37 2013  initial square root is modulo 2179142689
Fri Jan 25 18:53:53 2013  sqrtTime: 535


prp65 = 52595817575987203038540020990952242500419628932499082326103568469
prp58 = 8489372276233959208873488023963917199904214056355609123253
NFS elapsed time = 20391.8194 seconds.
software ソフトウェア
ECM 6.3, Yafu 1.33

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 16, 2011 11:17:37 UTC 2011 年 1 月 16 日 (日) 20 時 17 分 37 秒 (日本時間)
403e61110110Ignacio SantosJanuary 16, 2011 11:17:37 UTC 2011 年 1 月 16 日 (日) 20 時 17 分 37 秒 (日本時間)
1000Dmitry DomanovJanuary 24, 2013 10:36:36 UTC 2013 年 1 月 24 日 (木) 19 時 36 分 36 秒 (日本時間)
4511e6432 / 421632Ignacio SantosJanuary 16, 2011 11:17:37 UTC 2011 年 1 月 16 日 (日) 20 時 17 分 37 秒 (日本時間)
400Dmitry DomanovJanuary 24, 2013 14:40:54 UTC 2013 年 1 月 24 日 (木) 23 時 40 分 54 秒 (日本時間)

83×10186+439

c96

name 名前Serge Batalov
date 日付May 31, 2010 18:20:23 UTC 2010 年 6 月 1 日 (火) 3 時 20 分 23 秒 (日本時間)
composite number 合成数
107879706536726861164968717989447155169955695977551414012119675110161970328254501934828396179973<96>
prime factors 素因数
57341645677686168238959306858653153<35>
1881350025130286574760019710540932466595277058329366864971941<61>
factorization results 素因数分解の結果
Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=1027283458
Step 1 took 3032ms
Step 2 took 2296ms
********** Factor found in step 2: 57341645677686168238959306858653153
Found probable prime factor of 35 digits: 57341645677686168238959306858653153
Probable prime cofactor has 61 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)

83×10187+439

c188

name 名前Serge Batalov
date 日付June 6, 2010 05:56:14 UTC 2010 年 6 月 6 日 (日) 14 時 56 分 14 秒 (日本時間)
composite number 合成数
92222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227<188>
prime factors 素因数
895759633309557353278112328533042026200749374208761941550082324368749361415588034141733847<90>
102954206455463248769796564894617281772765610178435413915218656683405195370608390445586779368613541<99>
factorization results 素因数分解の結果
SNFS difficulty: 188 digits.
Divisors found:
 r1=895759633309557353278112328533042026200749374208761941550082324368749361415588034141733847 (pp90)
 r2=102954206455463248769796564894617281772765610178435413915218656683405195370608390445586779368613541 (pp99)
Version: Msieve v. 1.45 SVN229
Total time: 217.23 hours.
Scaled time: 521.36 units (timescale=2.400).
Factorization parameters were as follows:
n: 92222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227
m: 10000000000000000000000000000000000000
c5: 8300
c0: 43
skew: 0.35
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved rational special-q in [6250000, 11550001)
Primes: , ,
Relations: 21432757 relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 2279356 x 2279581
Total sieving time: 201.91 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 14.26 hours.
Time per square root: 0.73 hours.
Prototype def-par.txt line would be:
snfs,188.000,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,56,56,2.5,2.5,100000
total time: 217.23 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)

83×10189+439

c180

name 名前Robert Backstrom
date 日付February 17, 2012 11:04:36 UTC 2012 年 2 月 17 日 (金) 20 時 4 分 36 秒 (日本時間)
composite number 合成数
839816001729721220078463770452917241702456539348407536449024859725234995221399748451283014988581314394115800027088050628572439036885479477019886572732927338386087663587721918786537<180>
prime factors 素因数
43083259658611080019948855825984514190286946664247194424262156945336757010176893<80>
19492861226944480563124856652139713494539071058432411481777150363575316496279314962344840355944236509<101>
factorization results 素因数分解の結果
Number: n
N=839816001729721220078463770452917241702456539348407536449024859725234995221399748451283014988581314394115800027088050628572439036885479477019886572732927338386087663587721918786537
  ( 180 digits)
SNFS difficulty: 190 digits.
Divisors found:

Fri Feb 17 21:52:02 2012  prp80 factor: 43083259658611080019948855825984514190286946664247194424262156945336757010176893
Fri Feb 17 21:52:02 2012  prp101 factor: 19492861226944480563124856652139713494539071058432411481777150363575316496279314962344840355944236509
Fri Feb 17 21:52:02 2012  elapsed time 03:56:19 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.654).
Factorization parameters were as follows:
name: KA_92227_189
n: 839816001729721220078463770452917241702456539348407536449024859725234995221399748451283014988581314394115800027088050628572439036885479477019886572732927338386087663587721918786537
m: 10000000000000000000000000000000000000
deg: 5
c5: 830000
c0: 43
skew: 0.14
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, 25400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9116132 hash collisions in 78986537 relations (72149050 unique)
Msieve: matrix is 1516488 x 1516714 (427.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,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
351e6418118Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 16, 2011 11:18:09 UTC 2011 年 1 月 16 日 (日) 20 時 18 分 9 秒 (日本時間)
403e6110 / 2126Ignacio SantosJanuary 16, 2011 11:18:09 UTC 2011 年 1 月 16 日 (日) 20 時 18 分 9 秒 (日本時間)
4511e632 / 4437Ignacio SantosJanuary 16, 2011 11:18:09 UTC 2011 年 1 月 16 日 (日) 20 時 18 分 9 秒 (日本時間)

83×10191+439

c166

composite cofactor 合成数の残り
5673134660068388085409377130532653949545912123216622669039234211237576071874310877125207417939448587811985133830872237879760114298587534174475894916250603935263096217<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 16, 2011 11:18:45 UTC 2011 年 1 月 16 日 (日) 20 時 18 分 45 秒 (日本時間)
403e61110110Ignacio SantosJanuary 16, 2011 11:18:45 UTC 2011 年 1 月 16 日 (日) 20 時 18 分 45 秒 (日本時間)
1000Dmitry DomanovJanuary 24, 2013 10:36:47 UTC 2013 年 1 月 24 日 (木) 19 時 36 分 47 秒 (日本時間)
4511e6932 / 421632Ignacio SantosJanuary 16, 2011 11:18:45 UTC 2011 年 1 月 16 日 (日) 20 時 18 分 45 秒 (日本時間)
400Dmitry DomanovJanuary 24, 2013 14:40:36 UTC 2013 年 1 月 24 日 (木) 23 時 40 分 36 秒 (日本時間)
500Dmitry DomanovFebruary 19, 2013 16:16:52 UTC 2013 年 2 月 20 日 (水) 1 時 16 分 52 秒 (日本時間)

83×10192+439

c155

name 名前Serge Batalov
date 日付June 1, 2010 01:49:27 UTC 2010 年 6 月 1 日 (火) 10 時 49 分 27 秒 (日本時間)
composite number 合成数
24903296358796214383648569259812232052426376890583544339068880904175068376383755412103847943449922231775360954277877074541577024994183971531206038939590827<155>
prime factors 素因数
294466896048749561879946726817<30>
84570784332488857082244907359437292752667941541918723310251923670290393944139413727036521424250562047385134849852913421603531<125>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2851738976
Step 1 took 12293ms
Step 2 took 5992ms
********** Factor found in step 2: 294466896048749561879946726817
Found probable prime factor of 30 digits: 294466896048749561879946726817
Probable prime cofactor has 125 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)

83×10193+439

c161

composite cofactor 合成数の残り
23682502490780589226990035850456395140493051118925722433652927524164734149665488482640515201435929116081768737911011235684962867173022886007841699709300571296423<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 16, 2011 12:04:49 UTC 2011 年 1 月 16 日 (日) 21 時 4 分 49 秒 (日本時間)
403e61110110Ignacio SantosJanuary 16, 2011 12:04:49 UTC 2011 年 1 月 16 日 (日) 21 時 4 分 49 秒 (日本時間)
1000Dmitry DomanovJanuary 24, 2013 10:36:55 UTC 2013 年 1 月 24 日 (木) 19 時 36 分 55 秒 (日本時間)
4511e6932 / 421632Ignacio SantosJanuary 16, 2011 12:04:49 UTC 2011 年 1 月 16 日 (日) 21 時 4 分 49 秒 (日本時間)
400Dmitry DomanovJanuary 24, 2013 14:40:24 UTC 2013 年 1 月 24 日 (木) 23 時 40 分 24 秒 (日本時間)
500Dmitry DomanovFebruary 19, 2013 16:17:05 UTC 2013 年 2 月 20 日 (水) 1 時 17 分 5 秒 (日本時間)

83×10194+439

c131

name 名前Wataru Sakai
date 日付June 1, 2010 19:13:15 UTC 2010 年 6 月 2 日 (水) 4 時 13 分 15 秒 (日本時間)
composite number 合成数
12504723530913525799720578474581799203939698443967352199979185693968236609352638442238969212192724842888918306128626463780446012139<131>
prime factors 素因数
11720614048120513813386654097598648467721<41>
1066900034381624372047140763793442647023513475275922846170191938065273451327897542766904659<91>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1849312937
Step 1 took 11636ms
Step 2 took 5197ms
********** Factor found in step 2: 11720614048120513813386654097598648467721
Found probable prime factor of 41 digits: 11720614048120513813386654097598648467721
Probable prime cofactor 1066900034381624372047140763793442647023513475275922846170191938065273451327897542766904659 has 91 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)

83×10195+439

c196

name 名前Sinkiti Sibata
date 日付June 16, 2010 21:37:13 UTC 2010 年 6 月 17 日 (木) 6 時 37 分 13 秒 (日本時間)
composite number 合成数
9222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227<196>
prime factors 素因数
69338283944973640118591299592051<32>
8890805917756191139995920180398030477767317251<46>
14959647629231329027530688242855668601236644925696534118695948903789519272196137726808740853230693522178962152364903627<119>
factorization results 素因数分解の結果
Number: 92227_195
N=9222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227
  ( 196 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=69338283944973640118591299592051 (pp32)
 r2=8890805917756191139995920180398030477767317251 (pp46)
 r3=14959647629231329027530688242855668601236644925696534118695948903789519272196137726808740853230693522178962152364903627 (pp119)
Version: Msieve v. 1.42
Total time: 20.75 hours.
Scaled time: 21.24 units (timescale=1.024).
Factorization parameters were as follows:
name: 92227_195
n: 9222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227
m: 1000000000000000000000000000000000000000
deg: 5
c5: 83
c0: 43
skew: 0.88
type: snfs
lss: 1
rlim: 13400000
alim: 13400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13400000/13400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6700000, 14300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2618202 x 2618425
Total sieving time: 0.00 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 19.32 hours.
Time per square root: 1.17 hours.
Prototype def-par.txt line would be:
snfs,196.000,5,0,0,0,0,0,0,0,0,13400000,13400000,28,28,55,55,2.5,2.5,100000
total time: 20.75 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: 14 days 8 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)

83×10196+439

c194

name 名前Serge Batalov
date 日付June 1, 2010 05:30:48 UTC 2010 年 6 月 1 日 (火) 14 時 30 分 48 秒 (日本時間)
composite number 合成数
22078578458755619397228207379033330673263639507355092703428829835341685952171946905008911233474317027106110180086718272018726890644534886814034527704625861197563376160455403931583007474795839651<194>
prime factors 素因数
19426534474794700860922049191990770707<38>
composite cofactor 合成数の残り
1136516576716339174642001691569861233509109698870744034163687268442967397047939445971701817584982198584671204193017898817285710707030962122369019280963967793<157>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3776408171
Step 1 took 59380ms
Step 2 took 24029ms
********** Factor found in step 2: 19426534474794700860922049191990770707
Found probable prime factor of 38 digits: 19426534474794700860922049191990770707
Composite cofactor has 157 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 16, 2011 12:31:06 UTC 2011 年 1 月 16 日 (日) 21 時 31 分 6 秒 (日本時間)
403e61110110Ignacio SantosJanuary 16, 2011 12:31:06 UTC 2011 年 1 月 16 日 (日) 21 時 31 分 6 秒 (日本時間)
1000Dmitry DomanovJanuary 24, 2013 10:37:04 UTC 2013 年 1 月 24 日 (木) 19 時 37 分 4 秒 (日本時間)
4511e6932 / 421632Ignacio SantosJanuary 16, 2011 12:31:06 UTC 2011 年 1 月 16 日 (日) 21 時 31 分 6 秒 (日本時間)
400Dmitry DomanovJanuary 24, 2013 14:40:13 UTC 2013 年 1 月 24 日 (木) 23 時 40 分 13 秒 (日本時間)
500Dmitry DomanovMarch 19, 2014 08:06:26 UTC 2014 年 3 月 19 日 (水) 17 時 6 分 26 秒 (日本時間)

83×10197+439

c186

composite cofactor 合成数の残り
669704439115512378252317548542964537140122805512708221795466134410156384648578636797544065678999114848572750641276877107062063004191592300453672814151320988904645162791706325483965342453<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 16, 2011 13:54:03 UTC 2011 年 1 月 16 日 (日) 22 時 54 分 3 秒 (日本時間)
403e61110110Ignacio SantosJanuary 16, 2011 13:54:03 UTC 2011 年 1 月 16 日 (日) 22 時 54 分 3 秒 (日本時間)
1000Dmitry DomanovJanuary 24, 2013 10:37:13 UTC 2013 年 1 月 24 日 (木) 19 時 37 分 13 秒 (日本時間)
4511e6932 / 421632Ignacio SantosJanuary 16, 2011 13:54:03 UTC 2011 年 1 月 16 日 (日) 22 時 54 分 3 秒 (日本時間)
400Dmitry DomanovJanuary 24, 2013 14:40:01 UTC 2013 年 1 月 24 日 (木) 23 時 40 分 1 秒 (日本時間)
500Dmitry DomanovMarch 19, 2014 08:06:44 UTC 2014 年 3 月 19 日 (水) 17 時 6 分 44 秒 (日本時間)

83×10199+439

c169

name 名前Ignacio Santos
date 日付January 16, 2011 15:05:04 UTC 2011 年 1 月 17 日 (月) 0 時 5 分 4 秒 (日本時間)
composite number 合成数
2177398887714852783903154493469081380973680344391786076127221438548643625720670055810621225842903617184167612182690004179936786775384119864235443373613197843712264872463<169>
prime factors 素因数
7099175891010479921665450557293<31>
composite cofactor 合成数の残り
306711500199909396977521178598080396698167473674577509593293189201126057954551839837374931754878326561828311393959546702403122133130931691<138>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1803742385
Step 1 took 8830ms
Step 2 took 6661ms
********** Factor found in step 2: 7099175891010479921665450557293
Found probable prime factor of 31 digits: 7099175891010479921665450557293
Composite cofactor 306711500199909396977521178598080396698167473674577509593293189201126057954551839837374931754878326561828311393959546702403122133130931691 has 138 digits
software ソフトウェア
GMP-ECM 6.3

c138

name 名前Wataru Sakai
date 日付May 14, 2011 09:59:37 UTC 2011 年 5 月 14 日 (土) 18 時 59 分 37 秒 (日本時間)
composite number 合成数
306711500199909396977521178598080396698167473674577509593293189201126057954551839837374931754878326561828311393959546702403122133130931691<138>
prime factors 素因数
416129962205697494100110806476859243924121<42>
897805368529707336382561307118089670034181687<45>
820954098274515927245410578558013810327815440444533<51>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=950252509
Step 1 took 34698ms
Step 2 took 13948ms
********** Factor found in step 2: 897805368529707336382561307118089670034181687
Found probable prime factor of 45 digits: 897805368529707336382561307118089670034181687
Composite cofactor 341623597887586779159311495885956130033632227506622312220063978506527130111640722507561280493 has 93 digits

--------------------


Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1199391270
Step 1 took 18523ms
Step 2 took 9879ms
********** Factor found in step 2: 416129962205697494100110806476859243924121
Found probable prime factor of 42 digits: 416129962205697494100110806476859243924121
Probable prime cofactor 820954098274515927245410578558013810327815440444533 has 51 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
351e6418118Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 16, 2011 19:53:07 UTC 2011 年 1 月 17 日 (月) 4 時 53 分 7 秒 (日本時間)
403e6110Ignacio SantosJanuary 16, 2011 19:53:07 UTC 2011 年 1 月 17 日 (月) 4 時 53 分 7 秒 (日本時間)
4511e6632 / 443732Ignacio SantosJanuary 16, 2011 19:53:07 UTC 2011 年 1 月 17 日 (月) 4 時 53 分 7 秒 (日本時間)
600Dmitry DomanovJanuary 20, 2011 17:34:11 UTC 2011 年 1 月 21 日 (金) 2 時 34 分 11 秒 (日本時間)

83×10200+439

c192

name 名前matsui
date 日付July 6, 2010 22:03:51 UTC 2010 年 7 月 7 日 (水) 7 時 3 分 51 秒 (日本時間)
composite number 合成数
176631565716461217364134848928842105478619283663565069511121703352843995857394003549731675914492452952313847781199554057417774459854687314715981420252351394529755467934854085968826340209919677<192>
prime factors 素因数
238515820714126742507383475516697697191133670913034664694586490115761600247971770910969573597<93>
740544443499046001419184833568303922054757492509393613485644224965790333773565647255707013224652641<99>
factorization results 素因数分解の結果
N=176631565716461217364134848928842105478619283663565069511121703352843995857394003549731675914492452952313847781199554057417774459854687314715981420252351394529755467934854085968826340209919677
  ( 192 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=238515820714126742507383475516697697191133670913034664694586490115761600247971770910969573597 (pp93)
 r2=740544443499046001419184833568303922054757492509393613485644224965790333773565647255707013224652641 (pp99)
Version: Msieve v. 1.46
Total time:
Scaled time: 19.32 units (timescale=1.875).
Factorization parameters were as follows:
n: 176631565716461217364134848928842105478619283663565069511121703352843995857394003549731675914492452952313847781199554057417774459854687314715981420252351394529755467934854085968826340209919677
m: 10000000000000000000000000000000000000000
deg: 5
c5: 83
c0: 43
skew: 0.88
type: snfs
lss: 1
rlim: 16200000
alim: 16200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 1600000
Factor base limits: 16200000/16200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8100000, 20900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2789698 x 2789923
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,201.000,5,0,0,0,0,0,0,0,0,16200000,16200000,29,29,56,56,2.6,2.6,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 31, 2010 15:00:00 UTC 2010 年 6 月 1 日 (火) 0 時 0 分 0 秒 (日本時間)

83×10201+439

c101

name 名前Warut Roonguthai
date 日付January 22, 2013 22:09:27 UTC 2013 年 1 月 23 日 (水) 7 時 9 分 27 秒 (日本時間)
composite number 合成数
49954099422942259297207895998211344794504702792202348476620201572635187094099363227908519643683716957<101>
prime factors 素因数
15936823665948953522344905506853119<35>
3134507883755753220232420659197089263599933690224721256948934890403<67>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3937783776
Step 1 took 3712ms
Step 2 took 3214ms
********** Factor found in step 2: 15936823665948953522344905506853119
Found probable prime factor of 35 digits: 15936823665948953522344905506853119
Probable prime cofactor 3134507883755753220232420659197089263599933690224721256948934890403 has 67 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 22, 2013 14:00:00 UTC 2013 年 1 月 22 日 (火) 23 時 0 分 0 秒 (日本時間)

83×10202+439

c166

name 名前Dmitry Domanov
date 日付January 23, 2013 09:33:50 UTC 2013 年 1 月 23 日 (水) 18 時 33 分 50 秒 (日本時間)
composite number 合成数
8697415628692932420037560294903774537536072590237989714816006223059397032183633407194571720870116443387596524952703211881585423447892080625195317292257108813491227259<166>
prime factors 素因数
854043822465307815793720273617201812039<39>
10183804858615707455823747127475350088562837377897125542062628237237634257885517044862397205996083175690526640719312829822503981<128>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3593638558
Step 1 took 27038ms
Step 2 took 10373ms
********** Factor found in step 2: 854043822465307815793720273617201812039
Found probable prime factor of 39 digits: 854043822465307815793720273617201812039

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 22, 2013 14:00:00 UTC 2013 年 1 月 22 日 (火) 23 時 0 分 0 秒 (日本時間)

83×10206+439

c187

composite cofactor 合成数の残り
7196530829022754207451809892421173442626693145298593310208753535800231019138640299343044189116660735527283467307304133181016632299809568563289929291984366525008781724692806999559848881823<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 22, 2013 14:00:00 UTC 2013 年 1 月 22 日 (火) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 24, 2013 00:17:42 UTC 2013 年 1 月 24 日 (木) 9 時 17 分 42 秒 (日本時間)
403e61000Dmitry DomanovJanuary 24, 2013 10:37:30 UTC 2013 年 1 月 24 日 (木) 19 時 37 分 30 秒 (日本時間)
4511e61700 / 41941200Dmitry DomanovJanuary 29, 2013 15:58:43 UTC 2013 年 1 月 30 日 (水) 0 時 58 分 43 秒 (日本時間)
500Dmitry DomanovMarch 19, 2014 08:07:03 UTC 2014 年 3 月 19 日 (水) 17 時 7 分 3 秒 (日本時間)

83×10207+439

c198

composite cofactor 合成数の残り
254540298304956146785334328840452271019151360469714408309820250789533969006165906023867174586266334952722210311878386831792767952064259340803600107949121218962558072085201478978129087281999646897141<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 22, 2013 14:00:00 UTC 2013 年 1 月 22 日 (火) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 24, 2013 00:17:53 UTC 2013 年 1 月 24 日 (木) 9 時 17 分 53 秒 (日本時間)
403e61000Dmitry DomanovJanuary 24, 2013 10:37:38 UTC 2013 年 1 月 24 日 (木) 19 時 37 分 38 秒 (日本時間)
4511e61700 / 41941200Dmitry DomanovJanuary 29, 2013 15:58:56 UTC 2013 年 1 月 30 日 (水) 0 時 58 分 56 秒 (日本時間)
500Dmitry DomanovMarch 19, 2014 08:07:15 UTC 2014 年 3 月 19 日 (水) 17 時 7 分 15 秒 (日本時間)

83×10208+439

c199

composite cofactor 合成数の残り
1438620756741038343458261834636349221759144865892610637204482436873724610329236988836824975429715454859917726282455288135121212482140324317831055245010799735614548816484880004172710561212797638383999<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 22, 2013 14:00:00 UTC 2013 年 1 月 22 日 (火) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 24, 2013 00:18:01 UTC 2013 年 1 月 24 日 (木) 9 時 18 分 1 秒 (日本時間)
403e61000Dmitry DomanovJanuary 24, 2013 10:37:46 UTC 2013 年 1 月 24 日 (木) 19 時 37 分 46 秒 (日本時間)
4511e61700 / 41941200Dmitry DomanovJanuary 29, 2013 15:59:07 UTC 2013 年 1 月 30 日 (水) 0 時 59 分 7 秒 (日本時間)
500Dmitry DomanovMarch 19, 2014 08:07:28 UTC 2014 年 3 月 19 日 (水) 17 時 7 分 28 秒 (日本時間)

83×10209+439

c168

composite cofactor 合成数の残り
257151212720818188184301002239303672254416112514724959490435487055515302560991300127234404615201972377906429124069785614100607544763624670184454001542615455209989962893<168>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 22, 2013 14:00:00 UTC 2013 年 1 月 22 日 (火) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 24, 2013 00:18:09 UTC 2013 年 1 月 24 日 (木) 9 時 18 分 9 秒 (日本時間)
403e61000Dmitry DomanovJanuary 24, 2013 10:37:54 UTC 2013 年 1 月 24 日 (木) 19 時 37 分 54 秒 (日本時間)
4511e61400 / 4194400Dmitry DomanovJanuary 24, 2013 14:37:24 UTC 2013 年 1 月 24 日 (木) 23 時 37 分 24 秒 (日本時間)
1000Dmitry DomanovMay 16, 2013 16:21:59 UTC 2013 年 5 月 17 日 (金) 1 時 21 分 59 秒 (日本時間)

83×10210+439

c211

name 名前Markus Tervooren
date 日付April 28, 2014 16:06:49 UTC 2014 年 4 月 29 日 (火) 1 時 6 分 49 秒 (日本時間)
composite number 合成数
1317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317461<211>
prime factors 素因数
67051299294810204919979908061831965541244217393189<50>
19648542702621265544440968674730867922781445439883215281138037658462574111317020103156781804482581098893544919121883974236290001739263430860875357058670991500849<161>
factorization results 素因数分解の結果
Sieving took ~5 Days with 8 threads on a I7 4770K CPU using the 14I-Siever

Mon Apr 28 07:13:16 2014  Msieve v. 1.52 (SVN 956M)
Mon Apr 28 07:13:16 2014  random seeds: 3d413bff 930e61ef
Mon Apr 28 07:13:16 2014  factoring 1317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317461 (211 digits)
Mon Apr 28 07:13:17 2014  searching for 15-digit factors
Mon Apr 28 07:13:18 2014  commencing number field sieve (211-digit input)
Mon Apr 28 07:13:18 2014  R0: -1000000000000000000000000000000000000000000
Mon Apr 28 07:13:18 2014  R1: 1
Mon Apr 28 07:13:18 2014  A0: 43
Mon Apr 28 07:13:18 2014  A1: 0
Mon Apr 28 07:13:18 2014  A2: 0
Mon Apr 28 07:13:18 2014  A3: 0
Mon Apr 28 07:13:18 2014  A4: 0
Mon Apr 28 07:13:18 2014  A5: 83
Mon Apr 28 07:13:18 2014  skew 0.88, size 9.261e-15, alpha 0.441, combined = 4.469e-12 rroots = 1
Mon Apr 28 07:13:18 2014  
Mon Apr 28 07:13:18 2014  commencing relation filtering
Mon Apr 28 07:13:18 2014  estimated available RAM is 32004.3 MB
Mon Apr 28 07:13:18 2014  commencing duplicate removal, pass 1
Mon Apr 28 07:13:18 2014  error -11 reading relation 1002
Mon Apr 28 07:13:18 2014  error -1 reading relation 1774
Mon Apr 28 07:13:29 2014  error -15 reading relation 2776317
Mon Apr 28 07:13:29 2014  error -9 reading relation 2776848
Mon Apr 28 07:14:14 2014  error -15 reading relation 13553011
Mon Apr 28 07:14:59 2014  error -1 reading relation 24548487
Mon Apr 28 07:15:44 2014  error -15 reading relation 35712175
Mon Apr 28 07:16:30 2014  error -15 reading relation 47005081
Mon Apr 28 07:17:17 2014  error -11 reading relation 58407415
Mon Apr 28 07:18:03 2014  error -9 reading relation 69893380
Mon Apr 28 07:18:23 2014  error -9 reading relation 74693199
Mon Apr 28 07:18:34 2014  error -11 reading relation 77504929
Mon Apr 28 07:18:54 2014  error -9 reading relation 82288979
Mon Apr 28 07:19:06 2014  error -15 reading relation 85344995
Mon Apr 28 07:19:25 2014  error -11 reading relation 90105238
Mon Apr 28 07:19:38 2014  error -15 reading relation 93160465
Mon Apr 28 07:19:57 2014  error -1 reading relation 97872433
Mon Apr 28 07:20:10 2014  error -1 reading relation 100935479
Mon Apr 28 07:20:10 2014  error -11 reading relation 100937465
Mon Apr 28 07:20:29 2014  error -15 reading relation 105453335
Mon Apr 28 07:20:41 2014  error -15 reading relation 108475375
Mon Apr 28 07:21:00 2014  error -9 reading relation 113142939
Mon Apr 28 07:21:12 2014  error -9 reading relation 116198907
Mon Apr 28 07:21:31 2014  error -15 reading relation 120848639
Mon Apr 28 07:21:43 2014  error -11 reading relation 123831825
Mon Apr 28 07:22:01 2014  error -9 reading relation 128276743
Mon Apr 28 07:22:04 2014  error -11 reading relation 128921822
Mon Apr 28 07:22:07 2014  error -15 reading relation 129573325
Mon Apr 28 07:22:09 2014  error -9 reading relation 130216645
Mon Apr 28 07:22:12 2014  error -9 reading relation 130861206
Mon Apr 28 07:22:14 2014  error -11 reading relation 131500342
Mon Apr 28 07:22:17 2014  error -15 reading relation 132138720
Mon Apr 28 07:22:17 2014  error -9 reading relation 132141164
Mon Apr 28 07:22:19 2014  error -9 reading relation 132718865
Mon Apr 28 07:22:22 2014  error -15 reading relation 133290988
Mon Apr 28 07:22:24 2014  error -15 reading relation 133861806
Mon Apr 28 07:22:26 2014  error -9 reading relation 134431572
Mon Apr 28 07:22:31 2014  error -9 reading relation 135571247
Mon Apr 28 07:22:33 2014  error -15 reading relation 136137838
Mon Apr 28 07:22:35 2014  error -15 reading relation 136705879
Mon Apr 28 07:22:36 2014  error -11 reading relation 136768261
Mon Apr 28 07:22:36 2014  error -9 reading relation 136769388
Mon Apr 28 07:22:36 2014  error -15 reading relation 136771904
Mon Apr 28 07:23:05 2014  error -11 reading relation 144120390
Mon Apr 28 07:23:07 2014  error -9 reading relation 144444214
Mon Apr 28 07:23:08 2014  error -9 reading relation 144765972
Mon Apr 28 07:23:09 2014  error -11 reading relation 145087460
Mon Apr 28 07:23:11 2014  error -15 reading relation 145407822
Mon Apr 28 07:23:12 2014  error -15 reading relation 145731300
Mon Apr 28 07:23:22 2014  error -11 reading relation 148157019
Mon Apr 28 07:23:31 2014  error -9 reading relation 150572947
Mon Apr 28 07:23:41 2014  error -9 reading relation 152987190
Mon Apr 28 07:23:51 2014  error -11 reading relation 155375247
Mon Apr 28 07:24:01 2014  error -9 reading relation 157762514
Mon Apr 28 07:24:11 2014  error -11 reading relation 160166926
Mon Apr 28 07:24:22 2014  error -9 reading relation 162952071
Mon Apr 28 07:24:33 2014  error -11 reading relation 165746278
Mon Apr 28 07:24:45 2014  error -11 reading relation 168540829
Mon Apr 28 07:24:56 2014  error -15 reading relation 171313497
Mon Apr 28 07:25:04 2014  error -15 reading relation 173360132
Mon Apr 28 07:25:13 2014  error -9 reading relation 175414754
Mon Apr 28 07:25:13 2014  error -9 reading relation 175417347
Mon Apr 28 07:25:13 2014  error -9 reading relation 175419898
Mon Apr 28 07:25:13 2014  error -15 reading relation 175422560
Mon Apr 28 07:25:14 2014  error -9 reading relation 175680760
Mon Apr 28 07:25:15 2014  error -15 reading relation 175945377
Mon Apr 28 07:25:16 2014  error -9 reading relation 176215183
Mon Apr 28 07:25:17 2014  error -15 reading relation 176488442
Mon Apr 28 07:25:18 2014  error -11 reading relation 176763186
Mon Apr 28 07:25:19 2014  error -9 reading relation 177041598
Mon Apr 28 07:25:20 2014  error -15 reading relation 177319085
Mon Apr 28 07:25:22 2014  error -5 reading relation 177599827
Mon Apr 28 07:25:22 2014  error -9 reading relation 177601509
Mon Apr 28 07:25:22 2014  error -15 reading relation 177610651
Mon Apr 28 07:25:22 2014  skipped 105 relations with b > 2^32
Mon Apr 28 07:25:22 2014  found 14336899 hash collisions in 177616767 relations
Mon Apr 28 07:25:47 2014  added 731595 free relations
Mon Apr 28 07:25:47 2014  commencing duplicate removal, pass 2
Mon Apr 28 07:26:17 2014  found 8837809 duplicates and 169510553 unique relations
Mon Apr 28 07:26:17 2014  memory use: 788.8 MB
Mon Apr 28 07:26:17 2014  reading ideals above 46465024
Mon Apr 28 07:26:17 2014  commencing singleton removal, initial pass
Mon Apr 28 07:39:51 2014  memory use: 5512.0 MB
Mon Apr 28 07:39:51 2014  reading all ideals from disk
Mon Apr 28 07:39:52 2014  memory use: 3083.8 MB
Mon Apr 28 07:39:58 2014  keeping 187685972 ideals with weight <= 200, target excess is 5691596
Mon Apr 28 07:40:03 2014  commencing in-memory singleton removal
Mon Apr 28 07:40:08 2014  begin with 169510552 relations and 187685972 unique ideals
Mon Apr 28 07:40:48 2014  reduce to 46684088 relations and 36225336 ideals in 21 passes
Mon Apr 28 07:40:48 2014  max relations containing the same ideal: 31
Mon Apr 28 07:40:50 2014  reading ideals above 720000
Mon Apr 28 07:40:50 2014  commencing singleton removal, initial pass
Mon Apr 28 07:45:14 2014  memory use: 1378.0 MB
Mon Apr 28 07:45:14 2014  reading all ideals from disk
Mon Apr 28 07:45:15 2014  memory use: 1665.5 MB
Mon Apr 28 07:45:18 2014  keeping 41575824 ideals with weight <= 200, target excess is 251881
Mon Apr 28 07:45:21 2014  commencing in-memory singleton removal
Mon Apr 28 07:45:24 2014  begin with 46684090 relations and 41575824 unique ideals
Mon Apr 28 07:45:55 2014  reduce to 46668939 relations and 41560668 ideals in 11 passes
Mon Apr 28 07:45:55 2014  max relations containing the same ideal: 200
Mon Apr 28 07:46:11 2014  removing 7876328 relations and 6876328 ideals in 1000000 cliques
Mon Apr 28 07:46:13 2014  commencing in-memory singleton removal
Mon Apr 28 07:46:15 2014  begin with 38792611 relations and 41560668 unique ideals
Mon Apr 28 07:46:43 2014  reduce to 37716817 relations and 33576320 ideals in 12 passes
Mon Apr 28 07:46:43 2014  max relations containing the same ideal: 183
Mon Apr 28 07:46:56 2014  removing 5783583 relations and 4783583 ideals in 1000000 cliques
Mon Apr 28 07:46:57 2014  commencing in-memory singleton removal
Mon Apr 28 07:46:59 2014  begin with 31933234 relations and 33576320 unique ideals
Mon Apr 28 07:47:17 2014  reduce to 31216197 relations and 28055461 ideals in 10 passes
Mon Apr 28 07:47:17 2014  max relations containing the same ideal: 162
Mon Apr 28 07:47:28 2014  removing 5113474 relations and 4113474 ideals in 1000000 cliques
Mon Apr 28 07:47:29 2014  commencing in-memory singleton removal
Mon Apr 28 07:47:31 2014  begin with 26102723 relations and 28055461 unique ideals
Mon Apr 28 07:47:46 2014  reduce to 25434339 relations and 23252344 ideals in 10 passes
Mon Apr 28 07:47:46 2014  max relations containing the same ideal: 142
Mon Apr 28 07:47:54 2014  removing 4763822 relations and 3763822 ideals in 1000000 cliques
Mon Apr 28 07:47:55 2014  commencing in-memory singleton removal
Mon Apr 28 07:47:57 2014  begin with 20670517 relations and 23252344 unique ideals
Mon Apr 28 07:48:09 2014  reduce to 19955942 relations and 18747411 ideals in 11 passes
Mon Apr 28 07:48:09 2014  max relations containing the same ideal: 120
Mon Apr 28 07:48:16 2014  removing 4269851 relations and 3353502 ideals in 916349 cliques
Mon Apr 28 07:48:17 2014  commencing in-memory singleton removal
Mon Apr 28 07:48:18 2014  begin with 15686091 relations and 18747411 unique ideals
Mon Apr 28 07:48:26 2014  reduce to 14948158 relations and 14624343 ideals in 10 passes
Mon Apr 28 07:48:26 2014  max relations containing the same ideal: 98
Mon Apr 28 07:48:31 2014  removing 311323 relations and 279690 ideals in 31633 cliques
Mon Apr 28 07:48:31 2014  commencing in-memory singleton removal
Mon Apr 28 07:48:32 2014  begin with 14636835 relations and 14624343 unique ideals
Mon Apr 28 07:48:37 2014  reduce to 14632648 relations and 14340460 ideals in 7 passes
Mon Apr 28 07:48:37 2014  max relations containing the same ideal: 97
Mon Apr 28 07:48:40 2014  relations with 0 large ideals: 5226
Mon Apr 28 07:48:40 2014  relations with 1 large ideals: 1734
Mon Apr 28 07:48:40 2014  relations with 2 large ideals: 30287
Mon Apr 28 07:48:40 2014  relations with 3 large ideals: 250918
Mon Apr 28 07:48:40 2014  relations with 4 large ideals: 1093626
Mon Apr 28 07:48:40 2014  relations with 5 large ideals: 2732380
Mon Apr 28 07:48:40 2014  relations with 6 large ideals: 4168653
Mon Apr 28 07:48:40 2014  relations with 7+ large ideals: 6349824
Mon Apr 28 07:48:40 2014  commencing 2-way merge
Mon Apr 28 07:48:46 2014  reduce to 8068608 relation sets and 7776420 unique ideals
Mon Apr 28 07:48:46 2014  commencing full merge
Mon Apr 28 07:49:58 2014  memory use: 941.8 MB
Mon Apr 28 07:49:58 2014  found 4342345 cycles, need 4302620
Mon Apr 28 07:49:59 2014  weight of 4302620 cycles is about 301517466 (70.08/cycle)
Mon Apr 28 07:49:59 2014  distribution of cycle lengths:
Mon Apr 28 07:49:59 2014  1 relations: 556159
Mon Apr 28 07:49:59 2014  2 relations: 518643
Mon Apr 28 07:49:59 2014  3 relations: 513531
Mon Apr 28 07:49:59 2014  4 relations: 478242
Mon Apr 28 07:49:59 2014  5 relations: 424728
Mon Apr 28 07:49:59 2014  6 relations: 383563
Mon Apr 28 07:49:59 2014  7 relations: 329790
Mon Apr 28 07:49:59 2014  8 relations: 270757
Mon Apr 28 07:49:59 2014  9 relations: 218893
Mon Apr 28 07:49:59 2014  10+ relations: 608314
Mon Apr 28 07:49:59 2014  heaviest cycle: 21 relations
Mon Apr 28 07:50:00 2014  commencing cycle optimization
Mon Apr 28 07:50:04 2014  start with 23237330 relations
Mon Apr 28 07:50:19 2014  pruned 353586 relations
Mon Apr 28 07:50:19 2014  memory use: 831.2 MB
Mon Apr 28 07:50:19 2014  distribution of cycle lengths:
Mon Apr 28 07:50:19 2014  1 relations: 556159
Mon Apr 28 07:50:19 2014  2 relations: 526754
Mon Apr 28 07:50:19 2014  3 relations: 526013
Mon Apr 28 07:50:19 2014  4 relations: 484797
Mon Apr 28 07:50:19 2014  5 relations: 431736
Mon Apr 28 07:50:19 2014  6 relations: 386461
Mon Apr 28 07:50:19 2014  7 relations: 330889
Mon Apr 28 07:50:19 2014  8 relations: 269619
Mon Apr 28 07:50:19 2014  9 relations: 215760
Mon Apr 28 07:50:19 2014  10+ relations: 574432
Mon Apr 28 07:50:19 2014  heaviest cycle: 20 relations
Mon Apr 28 07:50:23 2014  RelProcTime: 2225
Mon Apr 28 07:50:23 2014  elapsed time 00:37:07



Mon Apr 28 08:13:50 2014  commencing linear algebra
Mon Apr 28 08:13:51 2014  matrix starts at (0, 0)
Mon Apr 28 08:13:51 2014  matrix is 4297881 x 4298058 (1303.5 MB) with weight 388249632 (90.33/col)
Mon Apr 28 08:13:51 2014  sparse part has weight 294416934 (68.50/col)
Mon Apr 28 08:13:51 2014  saving the first 48 matrix rows for later
Mon Apr 28 08:13:51 2014  matrix includes 64 packed rows
Mon Apr 28 08:13:52 2014  matrix is 4297833 x 4298058 (1246.1 MB) with weight 309371388 (71.98/col)
Mon Apr 28 08:13:52 2014  sparse part has weight 283684559 (66.00/col)
Mon Apr 28 08:13:52 2014  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Mon Apr 28 08:14:01 2014  commencing Lanczos iteration (4 threads)
Mon Apr 28 08:14:01 2014  memory use: 1017.3 MB
Mon Apr 28 08:14:01 2014  restarting at iteration 2821 (dim = 178346)
Mon Apr 28 08:14:09 2014  linear algebra at 4.2%, ETA 6h 2m
Mon Apr 28 08:14:10 2014  checkpointing every 690000 dimensions
Mon Apr 28 14:32:45 2014  lanczos halted after 67969 iterations (dim = 4297830)
Mon Apr 28 14:32:48 2014  recovered 33 nontrivial dependencies
Mon Apr 28 14:32:48 2014  BLanczosTime: 22738
Mon Apr 28 14:32:48 2014  elapsed time 06:19:00
Mon Apr 28 17:47:08 2014  
Mon Apr 28 17:47:08 2014  
Mon Apr 28 17:47:08 2014  Msieve v. 1.52 (SVN 956M)
Mon Apr 28 17:47:08 2014  random seeds: 5365d98d 00599d02
Mon Apr 28 17:47:08 2014  factoring 1317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317461 (211 digits)
Mon Apr 28 17:47:09 2014  searching for 15-digit factors
Mon Apr 28 17:47:10 2014  commencing number field sieve (211-digit input)
Mon Apr 28 17:47:10 2014  R0: -1000000000000000000000000000000000000000000
Mon Apr 28 17:47:10 2014  R1: 1
Mon Apr 28 17:47:10 2014  A0: 43
Mon Apr 28 17:47:10 2014  A1: 0
Mon Apr 28 17:47:10 2014  A2: 0
Mon Apr 28 17:47:10 2014  A3: 0
Mon Apr 28 17:47:10 2014  A4: 0
Mon Apr 28 17:47:10 2014  A5: 83
Mon Apr 28 17:47:10 2014  skew 0.88, size 9.261e-15, alpha 0.441, combined = 4.469e-12 rroots = 1
Mon Apr 28 17:47:10 2014  
Mon Apr 28 17:47:10 2014  commencing square root phase
Mon Apr 28 17:47:10 2014  reading relations for dependency 1
Mon Apr 28 17:47:10 2014  read 2150254 cycles
Mon Apr 28 17:47:12 2014  cycles contain 7175386 unique relations
Mon Apr 28 17:47:49 2014  read 7175386 relations
Mon Apr 28 17:48:11 2014  multiplying 7175386 relations
Mon Apr 28 17:50:55 2014  multiply complete, coefficients have about 220.68 million bits
Mon Apr 28 17:50:55 2014  initial square root is modulo 83074661
Mon Apr 28 17:54:12 2014  GCD is N, no factor found
Mon Apr 28 17:54:12 2014  reading relations for dependency 2
Mon Apr 28 17:54:12 2014  read 2149360 cycles
Mon Apr 28 17:54:14 2014  cycles contain 7174442 unique relations
Mon Apr 28 17:54:52 2014  read 7174442 relations
Mon Apr 28 17:55:13 2014  multiplying 7174442 relations
Mon Apr 28 17:57:57 2014  multiply complete, coefficients have about 220.64 million bits
Mon Apr 28 17:57:58 2014  initial square root is modulo 82829921
Mon Apr 28 18:01:27 2014  sqrtTime: 857
Mon Apr 28 18:01:27 2014  prp50 factor: 67051299294810204919979908061831965541244217393189
Mon Apr 28 18:01:27 2014  prp161 factor: 19648542702621265544440968674730867922781445439883215281138037658462574111317020103156781804482581098893544919121883974236290001739263430860875357058670991500849
Mon Apr 28 18:01:27 2014  elapsed time 00:14:19
software ソフトウェア
ggnfs 64 bit, msieve
execution environment 実行環境
I7 4770K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 22, 2013 14:00:00 UTC 2013 年 1 月 22 日 (火) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 24, 2013 00:18:17 UTC 2013 年 1 月 24 日 (木) 9 時 18 分 17 秒 (日本時間)
403e61000Dmitry DomanovJanuary 24, 2013 10:38:02 UTC 2013 年 1 月 24 日 (木) 19 時 38 分 2 秒 (日本時間)
4511e62250 / 41941000Dmitry DomanovJanuary 30, 2013 12:30:21 UTC 2013 年 1 月 30 日 (水) 21 時 30 分 21 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:13 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 13 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:29 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 29 秒 (日本時間)

83×10211+439

c187

composite cofactor 合成数の残り
1040225267312316416294928354284623710624792460624282692471466950268216277760838972099169030367898028259945948378957370162524568262386984902261882422170306363126388682066532586726189933477<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 22, 2013 14:00:00 UTC 2013 年 1 月 22 日 (火) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 24, 2013 00:18:31 UTC 2013 年 1 月 24 日 (木) 9 時 18 分 31 秒 (日本時間)
403e61000Dmitry DomanovJanuary 24, 2013 10:38:11 UTC 2013 年 1 月 24 日 (木) 19 時 38 分 11 秒 (日本時間)
4511e61500 / 41941000Dmitry DomanovJanuary 30, 2013 12:30:32 UTC 2013 年 1 月 30 日 (水) 21 時 30 分 32 秒 (日本時間)
500Dmitry DomanovMarch 19, 2014 08:07:56 UTC 2014 年 3 月 19 日 (水) 17 時 7 分 56 秒 (日本時間)

83×10213+439

c170

composite cofactor 合成数の残り
79526214936082302473545696333365311067136965334015989102214363146290999433509560083507134794255446560710097809667220091793865757737043111280106501026790220523419822730141<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 22, 2013 14:00:00 UTC 2013 年 1 月 22 日 (火) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 24, 2013 00:18:39 UTC 2013 年 1 月 24 日 (木) 9 時 18 分 39 秒 (日本時間)
403e61000Dmitry DomanovJanuary 24, 2013 10:38:20 UTC 2013 年 1 月 24 日 (木) 19 時 38 分 20 秒 (日本時間)
4511e61400 / 4194400Dmitry DomanovJanuary 24, 2013 14:37:40 UTC 2013 年 1 月 24 日 (木) 23 時 37 分 40 秒 (日本時間)
1000Dmitry DomanovMarch 19, 2014 08:08:10 UTC 2014 年 3 月 19 日 (水) 17 時 8 分 10 秒 (日本時間)

83×10214+439

c176

name 名前Dmitry Domanov
date 日付March 20, 2014 07:29:41 UTC 2014 年 3 月 20 日 (木) 16 時 29 分 41 秒 (日本時間)
composite number 合成数
40404315847773236766002215216945027905849028050755265560879067418363062567145151037618452741871106088555846736158321270592367140057185299632933516286033227842280797171660024029<176>
prime factors 素因数
49018791608734743852785885794304209690471<41>
824261768227136822216029644131271692643486483273108502016308319528242919897343163630434487218361938917968823781203246776976072293449499<135>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2189212071
Step 1 took 77836ms
Step 2 took 29325ms
********** Factor found in step 2: 49018791608734743852785885794304209690471
Found probable prime factor of 41 digits: 49018791608734743852785885794304209690471

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 22, 2013 14:00:00 UTC 2013 年 1 月 22 日 (火) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 24, 2013 00:18:45 UTC 2013 年 1 月 24 日 (木) 9 時 18 分 45 秒 (日本時間)
403e61000Dmitry DomanovJanuary 24, 2013 10:38:40 UTC 2013 年 1 月 24 日 (木) 19 時 38 分 40 秒 (日本時間)
4511e61400 / 4194400Dmitry DomanovJanuary 24, 2013 14:37:56 UTC 2013 年 1 月 24 日 (木) 23 時 37 分 56 秒 (日本時間)
1000Dmitry DomanovMarch 19, 2014 08:08:25 UTC 2014 年 3 月 19 日 (水) 17 時 8 分 25 秒 (日本時間)

83×10215+439

c158

composite cofactor 合成数の残り
13056772684833487952001648119305368042587842328255576366883544908854758557403499653213077266885314104682056411840319383990330920494578159524836308238131897173<158>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 22, 2013 14:00:00 UTC 2013 年 1 月 22 日 (火) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 24, 2013 00:18:51 UTC 2013 年 1 月 24 日 (木) 9 時 18 分 51 秒 (日本時間)
403e61000Dmitry DomanovJanuary 24, 2013 10:38:50 UTC 2013 年 1 月 24 日 (木) 19 時 38 分 50 秒 (日本時間)
4511e61400 / 4194400Dmitry DomanovJanuary 24, 2013 14:38:09 UTC 2013 年 1 月 24 日 (木) 23 時 38 分 9 秒 (日本時間)
1000Dmitry DomanovMay 16, 2013 16:22:16 UTC 2013 年 5 月 17 日 (金) 1 時 22 分 16 秒 (日本時間)

83×10217+439

c209

composite cofactor 合成数の残り
95678415242562361531380423286051454786344060072054051966320501111314764347082891408998633824854205717891099617867130065312724893880179128856967655406937154989852291370902278535083789029768980615052431667228869<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 22, 2013 14:00:00 UTC 2013 年 1 月 22 日 (火) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 24, 2013 00:19:05 UTC 2013 年 1 月 24 日 (木) 9 時 19 分 5 秒 (日本時間)
403e61000Dmitry DomanovJanuary 24, 2013 10:39:00 UTC 2013 年 1 月 24 日 (木) 19 時 39 分 0 秒 (日本時間)
4511e61500 / 41941000Dmitry DomanovJanuary 30, 2013 12:30:46 UTC 2013 年 1 月 30 日 (水) 21 時 30 分 46 秒 (日本時間)
500Dmitry DomanovMarch 19, 2014 08:09:00 UTC 2014 年 3 月 19 日 (水) 17 時 9 分 0 秒 (日本時間)

83×10218+439

c214

name 名前Serge Batalov
date 日付November 8, 2013 07:50:50 UTC 2013 年 11 月 8 日 (金) 16 時 50 分 50 秒 (日本時間)
composite number 合成数
2602655147252270346256613644623431861077166843678573970751800457252016352200074567637833324082932508762011018324887247021135754806053587728763196323922069606287262260779147150672723640982850384017063383432877053393<214>
prime factors 素因数
917913542724258948252153465449817151275331841<45>
composite cofactor 合成数の残り
2835403364382115290438329070951686831825300527479527973245013051281359119509595552433525878964000021708000355732952943059774520363104655661806851233171874306068488869073<169>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=671161725
Step 1 took 67237ms
Step 2 took 20940ms
********** Factor found in step 2: 917913542724258948252153465449817151275331841
Found probable prime factor of 45 digits: 917913542724258948252153465449817151275331841
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 22, 2013 14:00:00 UTC 2013 年 1 月 22 日 (火) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 24, 2013 00:19:12 UTC 2013 年 1 月 24 日 (木) 9 時 19 分 12 秒 (日本時間)
403e61000Dmitry DomanovJanuary 24, 2013 10:39:08 UTC 2013 年 1 月 24 日 (木) 19 時 39 分 8 秒 (日本時間)
4511e61850 / 41941000Dmitry DomanovJanuary 30, 2013 12:30:57 UTC 2013 年 1 月 30 日 (水) 21 時 30 分 57 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:15:00 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 0 秒 (日本時間)

83×10222+439

c193

name 名前Warut Roonguthai
date 日付January 22, 2013 20:55:03 UTC 2013 年 1 月 23 日 (水) 5 時 55 分 3 秒 (日本時間)
composite number 合成数
2325394768334484199132532821518960694984069693363258457661410226354745459601161467355778124268177384274415099495726519553052788727844139695007952427728530570389476741196522177036482597927604559<193>
prime factors 素因数
1943084100643340641865320389994886867<37>
composite cofactor 合成数の残り
1196754565365731390059179971867419845660999585526294313012065781181144569504364820976828872953632355227069953847227584898194726739605302798263442083175507477<157>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=294094224
Step 1 took 10718ms
Step 2 took 7940ms
********** Factor found in step 2: 1943084100643340641865320389994886867
Found probable prime factor of 37 digits: 1943084100643340641865320389994886867
Composite cofactor 1196754565365731390059179971867419845660999585526294313012065781181144569504364820976828872953632355227069953847227584898194726739605302798263442083175507477 has 157 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
351e61418118Makoto KamadaJanuary 22, 2013 14:00:00 UTC 2013 年 1 月 22 日 (火) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 24, 2013 00:19:20 UTC 2013 年 1 月 24 日 (木) 9 時 19 分 20 秒 (日本時間)
403e64000Warut RoonguthaiJanuary 24, 2013 09:00:02 UTC 2013 年 1 月 24 日 (木) 18 時 0 分 2 秒 (日本時間)
4511e61500 / 3531500Dmitry DomanovJanuary 24, 2013 14:38:31 UTC 2013 年 1 月 24 日 (木) 23 時 38 分 31 秒 (日本時間)
1000Dmitry DomanovMarch 19, 2014 08:09:31 UTC 2014 年 3 月 19 日 (水) 17 時 9 分 31 秒 (日本時間)

83×10223+439

c216

composite cofactor 合成数の残り
505558718921734813487684600875544009885721990498774297554803309764289405373401744101685561457819595450950729941180149558022690631390085185480744151905815453455876941608690974418376149670753757454473208487946666069547<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 22, 2013 14:00:00 UTC 2013 年 1 月 22 日 (火) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 24, 2013 00:19:30 UTC 2013 年 1 月 24 日 (木) 9 時 19 分 30 秒 (日本時間)
403e61000Dmitry DomanovJanuary 24, 2013 10:39:24 UTC 2013 年 1 月 24 日 (木) 19 時 39 分 24 秒 (日本時間)
4511e61500 / 41941000Dmitry DomanovJanuary 30, 2013 12:32:08 UTC 2013 年 1 月 30 日 (水) 21 時 32 分 8 秒 (日本時間)
500Dmitry DomanovMarch 19, 2014 08:09:44 UTC 2014 年 3 月 19 日 (水) 17 時 9 分 44 秒 (日本時間)

83×10224+439

c219

composite cofactor 合成数の残り
818092903221482291689151900829004094111436278398789143650904184860609289967312753072850581639412837967238237622870408071639705577235017490924836285318080927524164049508616933123467862304516454361701739689343511986095969<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 22, 2013 14:00:00 UTC 2013 年 1 月 22 日 (火) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 24, 2013 00:19:36 UTC 2013 年 1 月 24 日 (木) 9 時 19 分 36 秒 (日本時間)
403e61000Dmitry DomanovJanuary 24, 2013 10:39:32 UTC 2013 年 1 月 24 日 (木) 19 時 39 分 32 秒 (日本時間)
4511e61500 / 41941000Dmitry DomanovJanuary 30, 2013 12:32:19 UTC 2013 年 1 月 30 日 (水) 21 時 32 分 19 秒 (日本時間)
500Dmitry DomanovMarch 19, 2014 08:09:56 UTC 2014 年 3 月 19 日 (水) 17 時 9 分 56 秒 (日本時間)

83×10226+439

c215

composite cofactor 合成数の残り
30009733653255809781211449330246949196649490787813169113584205544057115945976439951068552864418660432420082696352314865786813991863402774602523810766244846617458971494648504964218304310334004518070607018649743123389<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 22, 2013 14:00:00 UTC 2013 年 1 月 22 日 (火) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 24, 2013 00:19:51 UTC 2013 年 1 月 24 日 (木) 9 時 19 分 51 秒 (日本時間)
403e61000Dmitry DomanovJanuary 24, 2013 10:39:40 UTC 2013 年 1 月 24 日 (木) 19 時 39 分 40 秒 (日本時間)
4511e61500 / 41941000Dmitry DomanovJanuary 30, 2013 12:32:31 UTC 2013 年 1 月 30 日 (水) 21 時 32 分 31 秒 (日本時間)
500Dmitry DomanovMarch 19, 2014 08:10:09 UTC 2014 年 3 月 19 日 (水) 17 時 10 分 9 秒 (日本時間)

83×10228+439

c211

composite cofactor 合成数の残り
3424819043870686035663637768963998824293970896777572338733625629211545815982257289065290932375462788301616230467113454810647505830092386319449227484206510678198358652393713398882995737997959033973384161071056331<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 22, 2013 14:00:00 UTC 2013 年 1 月 22 日 (火) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 24, 2013 00:19:57 UTC 2013 年 1 月 24 日 (木) 9 時 19 分 57 秒 (日本時間)
403e61000Dmitry DomanovJanuary 24, 2013 10:39:52 UTC 2013 年 1 月 24 日 (木) 19 時 39 分 52 秒 (日本時間)
4511e61500 / 41941000Dmitry DomanovJanuary 30, 2013 12:32:43 UTC 2013 年 1 月 30 日 (水) 21 時 32 分 43 秒 (日本時間)
500Dmitry DomanovMarch 19, 2014 08:10:22 UTC 2014 年 3 月 19 日 (水) 17 時 10 分 22 秒 (日本時間)

83×10229+439

c206

composite cofactor 合成数の残り
11348537487504221223591662990514959339935023426341708949142622095180398699427457351631112956298876217977658078417677492149322310415387140204185274598433868287258432086871578878966296272953174311953147695993<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 22, 2013 14:00:00 UTC 2013 年 1 月 22 日 (火) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 24, 2013 00:20:03 UTC 2013 年 1 月 24 日 (木) 9 時 20 分 3 秒 (日本時間)
403e61000Dmitry DomanovJanuary 24, 2013 10:40:00 UTC 2013 年 1 月 24 日 (木) 19 時 40 分 0 秒 (日本時間)
4511e61700 / 41941200Dmitry DomanovJanuary 29, 2013 15:59:44 UTC 2013 年 1 月 30 日 (水) 0 時 59 分 44 秒 (日本時間)
500Dmitry DomanovMarch 19, 2014 08:10:35 UTC 2014 年 3 月 19 日 (水) 17 時 10 分 35 秒 (日本時間)

83×10231+439

c226

composite cofactor 合成数の残り
4733624411312495462421780421079274350205966841930536285997146251827792112675317336762530545422462576279078070184593672239169167930915090013290078271905431537447560138844618094319234375603287599107409530884703566466616855250271<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 22, 2013 14:00:00 UTC 2013 年 1 月 22 日 (火) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 24, 2013 00:20:09 UTC 2013 年 1 月 24 日 (木) 9 時 20 分 9 秒 (日本時間)
403e61000Dmitry DomanovJanuary 24, 2013 10:40:10 UTC 2013 年 1 月 24 日 (木) 19 時 40 分 10 秒 (日本時間)
4511e61500 / 41941000Dmitry DomanovJanuary 28, 2013 12:31:09 UTC 2013 年 1 月 28 日 (月) 21 時 31 分 9 秒 (日本時間)
500Dmitry DomanovMarch 19, 2014 08:10:47 UTC 2014 年 3 月 19 日 (水) 17 時 10 分 47 秒 (日本時間)

83×10232+439

c208

composite cofactor 合成数の残り
3874364857999795425299363355997863325507288692414615727112838088220593732763361230402287873929013717541039196633740278871639534855925992088262912389607948862447987209116288212188251532120452780765928314426481<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 22, 2013 14:00:00 UTC 2013 年 1 月 22 日 (火) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 24, 2013 00:20:18 UTC 2013 年 1 月 24 日 (木) 9 時 20 分 18 秒 (日本時間)
403e61000Dmitry DomanovJanuary 24, 2013 10:40:19 UTC 2013 年 1 月 24 日 (木) 19 時 40 分 19 秒 (日本時間)
4511e61500 / 41941000Dmitry DomanovJanuary 28, 2013 12:30:57 UTC 2013 年 1 月 28 日 (月) 21 時 30 分 57 秒 (日本時間)
500Dmitry DomanovMarch 19, 2014 08:11:05 UTC 2014 年 3 月 19 日 (水) 17 時 11 分 5 秒 (日本時間)

83×10234+439

c221

name 名前Warut Roonguthai
date 日付January 22, 2013 20:50:25 UTC 2013 年 1 月 23 日 (水) 5 時 50 分 25 秒 (日本時間)
composite number 合成数
11303724227990246231346719115952423816053331234549880982295442153486566725081304418625963146248576152493636543186498638552996409771555201685444206959945319592753757929098158832555058801546315619698449605675315495391630151<221>
prime factors 素因数
3879010052306288033486543089812229<34>
composite cofactor 合成数の残り
2914074486935023824813249972218913045823454018863104775571017134404877777112551456328682453920602741439022616403292881310953273453885025730521333881183859938036011520576085450313495488219<187>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1426064494
Step 1 took 11497ms
Step 2 took 6349ms
********** Factor found in step 2: 3879010052306288033486543089812229
Found probable prime factor of 34 digits: 3879010052306288033486543089812229
Composite cofactor 2914074486935023824813249972218913045823454018863104775571017134404877777112551456328682453920602741439022616403292881310953273453885025730521333881183859938036011520576085450313495488219 has 187 digits
software ソフトウェア
GMP-ECM 6.3

c187

name 名前Dmitry Domanov
date 日付March 20, 2014 07:28:48 UTC 2014 年 3 月 20 日 (木) 16 時 28 分 48 秒 (日本時間)
composite number 合成数
2914074486935023824813249972218913045823454018863104775571017134404877777112551456328682453920602741439022616403292881310953273453885025730521333881183859938036011520576085450313495488219<187>
prime factors 素因数
69784955020382268088679975314459258528667<41>
composite cofactor 合成数の残り
41757918824822667414493254340185169347247678915046988116909675978386645407247965003866191584165819276510904016511247014303922263797673737194462657<146>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=47326310
Step 1 took 88939ms
Step 2 took 28174ms
********** Factor found in step 2: 69784955020382268088679975314459258528667
Found probable prime factor of 41 digits: 69784955020382268088679975314459258528667

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 22, 2013 14:00:00 UTC 2013 年 1 月 22 日 (火) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 24, 2013 00:20:24 UTC 2013 年 1 月 24 日 (木) 9 時 20 分 24 秒 (日本時間)
403e61000Dmitry DomanovJanuary 24, 2013 10:40:46 UTC 2013 年 1 月 24 日 (木) 19 時 40 分 46 秒 (日本時間)
4511e64194400Dmitry DomanovJanuary 24, 2013 14:39:22 UTC 2013 年 1 月 24 日 (木) 23 時 39 分 22 秒 (日本時間)
1000Dmitry DomanovMarch 19, 2014 08:11:17 UTC 2014 年 3 月 19 日 (水) 17 時 11 分 17 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:36:05 UTC 2014 年 5 月 25 日 (日) 2 時 36 分 5 秒 (日本時間)
994Ignacio SantosJanuary 5, 2016 15:12:36 UTC 2016 年 1 月 6 日 (水) 0 時 12 分 36 秒 (日本時間)

83×10235+439

c199

composite cofactor 合成数の残り
1611685881564604285710114875055094350415393119476850467377394987434358169197644470005253013595864866032959937631482346191403925720040392032409379493022061769444574417492285171757003841152212556196313<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 22, 2013 14:00:00 UTC 2013 年 1 月 22 日 (火) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 24, 2013 00:20:39 UTC 2013 年 1 月 24 日 (木) 9 時 20 分 39 秒 (日本時間)
403e61000Dmitry DomanovJanuary 24, 2013 10:40:54 UTC 2013 年 1 月 24 日 (木) 19 時 40 分 54 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 28, 2013 12:29:35 UTC 2013 年 1 月 28 日 (月) 21 時 29 分 35 秒 (日本時間)

83×10236+439

c193

composite cofactor 合成数の残り
2487473808462133368644032533343185558245671562772892761055165105065956696201296776446188480143162957934048557518721154701822406884995764571605556278459750723531779486268681902105951164307156259<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 22, 2013 14:00:00 UTC 2013 年 1 月 22 日 (火) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 24, 2013 00:20:45 UTC 2013 年 1 月 24 日 (木) 9 時 20 分 45 秒 (日本時間)
403e61000Dmitry DomanovJanuary 24, 2013 10:41:03 UTC 2013 年 1 月 24 日 (木) 19 時 41 分 3 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 28, 2013 12:29:48 UTC 2013 年 1 月 28 日 (月) 21 時 29 分 48 秒 (日本時間)

83×10238+439

c216

name 名前Warut Roonguthai
date 日付January 22, 2013 19:39:22 UTC 2013 年 1 月 23 日 (水) 4 時 39 分 22 秒 (日本時間)
composite number 合成数
118996824417590528228527796574095831988542436332876652229424352127939501024418483620875302841875137665597943288271241591321243785027996369240786399566392736907251963945172260364132128358469876838799967958514207958169<216>
prime factors 素因数
347346122301422495935898238571917973<36>
composite cofactor 合成数の残り
342588607666466519601728145771337094495255900622029074882601300726736361552593854650512437000947159486769301781224930109834964018401865191308309755217029605603560414695362715307253<180>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3839190143
Step 1 took 11950ms
Step 2 took 6458ms
********** Factor found in step 2: 347346122301422495935898238571917973
Found probable prime factor of 36 digits: 347346122301422495935898238571917973
Composite cofactor 342588607666466519601728145771337094495255900622029074882601300726736361552593854650512437000947159486769301781224930109834964018401865191308309755217029605603560414695362715307253 has 180 digits
software ソフトウェア
GMP-ECM 6.3

c180

name 名前Dmitry Domanov
date 日付January 24, 2013 10:44:11 UTC 2013 年 1 月 24 日 (木) 19 時 44 分 11 秒 (日本時間)
composite number 合成数
342588607666466519601728145771337094495255900622029074882601300726736361552593854650512437000947159486769301781224930109834964018401865191308309755217029605603560414695362715307253<180>
prime factors 素因数
155799372485240551731960628412034381919<39>
2198908777369569957333762799361520595795984609537402042955026013189546960629218713294145587864173169521627383469959908038441822983878295423787<142>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3239131326
Step 1 took 18807ms
Step 2 took 6815ms
********** Factor found in step 2: 155799372485240551731960628412034381919
Found probable prime factor of 39 digits: 155799372485240551731960628412034381919

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 22, 2013 14:00:00 UTC 2013 年 1 月 22 日 (火) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 24, 2013 00:20:55 UTC 2013 年 1 月 24 日 (木) 9 時 20 分 55 秒 (日本時間)
403e61000 / 1964Dmitry DomanovJanuary 24, 2013 10:41:11 UTC 2013 年 1 月 24 日 (木) 19 時 41 分 11 秒 (日本時間)

83×10240+439

c183

name 名前Warut Roonguthai
date 日付January 22, 2013 18:48:15 UTC 2013 年 1 月 23 日 (水) 3 時 48 分 15 秒 (日本時間)
composite number 合成数
245322354019243393836921229439217592182484376530979010112363387319443001879618084890318121286963465431706053438040221340283906917093077065343283040497649469300597174687618620086743183<183>
prime factors 素因数
8685630516543834422798444306957807<34>
composite cofactor 合成数の残り
28244622373927723260642120118174577773399529649904560141086967229046677055472038340266398393397746919533015762818132055098292944839041261240453193569<149>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2419267020
Step 1 took 8627ms
Step 2 took 5273ms
********** Factor found in step 2: 8685630516543834422798444306957807
Found probable prime factor of 34 digits: 8685630516543834422798444306957807
Composite cofactor 28244622373927723260642120118174577773399529649904560141086967229046677055472038340266398393397746919533015762818132055098292944839041261240453193569 has 149 digits
software ソフトウェア
GMP-ECM 6.3

c149

name 名前Warut Roonguthai
date 日付January 23, 2013 19:13:33 UTC 2013 年 1 月 24 日 (木) 4 時 13 分 33 秒 (日本時間)
composite number 合成数
28244622373927723260642120118174577773399529649904560141086967229046677055472038340266398393397746919533015762818132055098292944839041261240453193569<149>
prime factors 素因数
750514393489679154620929486153999751461<39>
312682470866763665258452236677488461994254591014459387<54>
120357514864032162909652542776037745025178371337050866967<57>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3211903381
Step 1 took 5133ms
Step 2 took 4259ms
********** Factor found in step 2: 750514393489679154620929486153999751461
Found probable prime factor of 39 digits: 750514393489679154620929486153999751461
Composite cofactor 37633685135068811582979707035992816895430487080974790320305086453519086248088582729880579484662121421161369229 has 110 digits

N = 37633685135068811582979707035992816895430487080974790320305086453519086248088582729880579484662121421161369229 (110 digits)
Divisors found:
r1=312682470866763665258452236677488461994254591014459387 (pp54)
r2=120357514864032162909652542776037745025178371337050866967 (pp57)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 2.97 hours.
Factorization parameters were as follows:
n: 37633685135068811582979707035992816895430487080974790320305086453519086248088582729880579484662121421161369229
Y0: -1455570021201778979060
Y1: 314704252561
c0: -25651415766439401285490451
c1: 5306034405864971176008
c2: 460346984034955343
c3: -44318284795676
c4: -689970784
c5: 5760
skew: 26929.53  
type: gnfs
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 7456734
Relations: 625874 relations
Pruned matrix : 361483 x 361729
Polynomial selection time: 0.00 hours.
Total sieving time: 2.82 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: gnfs,109,5,61,2000,0.00015,0.3,250,15,50000,2400,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 2.97 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 22, 2013 14:00:00 UTC 2013 年 1 月 22 日 (火) 23 時 0 分 0 秒 (日本時間)

83×10241+439

c207

composite cofactor 合成数の残り
255960731115002140871031364263785107357781820085856556420355953399485159312911481517255344307783473355629531558726405708164232992458884916512568974972356493950413248012022425511737882806323987040171942766659<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 22, 2013 14:00:00 UTC 2013 年 1 月 22 日 (火) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 24, 2013 00:21:01 UTC 2013 年 1 月 24 日 (木) 9 時 21 分 1 秒 (日本時間)
403e61000Dmitry DomanovJanuary 24, 2013 10:41:21 UTC 2013 年 1 月 24 日 (木) 19 時 41 分 21 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 28, 2013 12:30:03 UTC 2013 年 1 月 28 日 (月) 21 時 30 分 3 秒 (日本時間)

83×10242+439

c217

composite cofactor 合成数の残り
1807217873724753045335393129882638208774622919314153867441254040749595601395922981775147105117915572683065528589269905024575797700442717774375118901914080188947768677821551482452232132136321543331485900288090929648523<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 22, 2013 14:00:00 UTC 2013 年 1 月 22 日 (火) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 24, 2013 00:21:07 UTC 2013 年 1 月 24 日 (木) 9 時 21 分 7 秒 (日本時間)
403e61000Dmitry DomanovJanuary 24, 2013 10:41:30 UTC 2013 年 1 月 24 日 (木) 19 時 41 分 30 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 28, 2013 12:30:16 UTC 2013 年 1 月 28 日 (月) 21 時 30 分 16 秒 (日本時間)

83×10244+439

c204

composite cofactor 合成数の残り
117697272915753803448887433890906196088864119481234480300813830890861290977769971707908377903681980800556211638926947731319864974094756823227744557944068618156948620033229366679133486907324712413419896079<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 22, 2013 14:00:00 UTC 2013 年 1 月 22 日 (火) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 24, 2013 00:21:13 UTC 2013 年 1 月 24 日 (木) 9 時 21 分 13 秒 (日本時間)
403e61000Dmitry DomanovJanuary 24, 2013 10:41:44 UTC 2013 年 1 月 24 日 (木) 19 時 41 分 44 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 28, 2013 12:30:27 UTC 2013 年 1 月 28 日 (月) 21 時 30 分 27 秒 (日本時間)

83×10245+439

c233

composite cofactor 合成数の残り
32025929867750701466587533223350946721336742250268741765635178360983191169960503373661646506811345281139892541224894406375590157911794016866393755855781114763526697132461036097620077288944263009040198750858347101214833763023180729343<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 22, 2013 14:00:00 UTC 2013 年 1 月 22 日 (火) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 24, 2013 00:21:26 UTC 2013 年 1 月 24 日 (木) 9 時 21 分 26 秒 (日本時間)
403e61000Dmitry DomanovJanuary 24, 2013 10:41:53 UTC 2013 年 1 月 24 日 (木) 19 時 41 分 53 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 28, 2013 12:30:40 UTC 2013 年 1 月 28 日 (月) 21 時 30 分 40 秒 (日本時間)

83×10247+439

c238

name 名前Warut Roonguthai
date 日付January 22, 2013 17:34:43 UTC 2013 年 1 月 23 日 (水) 2 時 34 分 43 秒 (日本時間)
composite number 合成数
1088865933550303089425664524580902617423406592012722616947895349212771229113517443776923122107652717259985524151372985244757598311392156154121720747817797230025907939474368004795986377116511842248416512355095219196546046614206179190219811<238>
prime factors 素因数
10348710307181304193992404942089<32>
105217548972716326178953479178696620961826053771132234386394892480840141061914214458622303832104718863748359507061188978965412935668769817817538977046881046779435353580268786584000456165814336855868120977099<207>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=523668235
Step 1 took 12995ms
Step 2 took 6958ms
********** Factor found in step 2: 10348710307181304193992404942089
Found probable prime factor of 32 digits: 10348710307181304193992404942089
Probable prime cofactor 105217548972716326178953479178696620961826053771132234386394892480840141061914214458622303832104718863748359507061188978965412935668769817817538977046881046779435353580268786584000456165814336855868120977099 has 207 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 22, 2013 14:00:00 UTC 2013 年 1 月 22 日 (火) 23 時 0 分 0 秒 (日本時間)

83×10248+439

c151

name 名前Warut Roonguthai
date 日付January 24, 2013 04:26:04 UTC 2013 年 1 月 24 日 (木) 13 時 26 分 4 秒 (日本時間)
composite number 合成数
1150600465979439542444379147363048073201772549499211175052592290455527758612053645710796452600459698327059792306532479136925140426160098031150339314787<151>
prime factors 素因数
2522636231628621947121332957143<31>
149676725857865291718222869642517781833581<42>
3047303019676272112213385385841226428581356526685976549290309058645875455850889<79>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3734963550
Step 1 took 5351ms
Step 2 took 4259ms
********** Factor found in step 2: 2522636231628621947121332957143
Found probable prime factor of 31 digits: 2522636231628621947121332957143
Composite cofactor 456110338681930463893338646516898634369094017281419791458594183245895077422245544878604988610919211891305175520948903509 has 120 digits

N = 456110338681930463893338646516898634369094017281419791458594183245895077422245544878604988610919211891305175520948903509 (120 digits)
Divisors found:
r1=149676725857865291718222869642517781833581 (pp42)
r2=3047303019676272112213385385841226428581356526685976549290309058645875455850889 (pp79)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 9.18 hours.
Factorization parameters were as follows:
n: 456110338681930463893338646516898634369094017281419791458594183245895077422245544878604988610919211891305175520948903509
Y0: -126358223917723627707018
Y1: 6832495570963
c0: 201838641423472584702500898415
c1: 16703614560538647555236182
c2: 289047164325401921757
c3: -1620104430051358
c4: -6573000868
c5: 14160
skew: 165784.18 
type: gnfs
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10525488
Relations: 1168806 relations
Pruned matrix : 676436 x 676666
Polynomial selection time: 0.00 hours.
Total sieving time: 8.77 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.33 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: gnfs,119,5,63,2000,2.6e-05,0.28,250,20,50000,3600,4200000,4200000,27,27,53,53,2.5,2.5,100000
total time: 9.18 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 22, 2013 14:00:00 UTC 2013 年 1 月 22 日 (火) 23 時 0 分 0 秒 (日本時間)

83×10250+439

c235

composite cofactor 合成数の残り
1576572354727572712759888860695750925759730710395423334294744861808790834574530119625241310798507063903172711473007223909799742210023400053005308082844661764547239454633119180251222298384854242433130150878712140572581411120281576989023<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaJanuary 22, 2013 14:00:00 UTC 2013 年 1 月 22 日 (火) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 24, 2013 00:21:34 UTC 2013 年 1 月 24 日 (木) 9 時 21 分 34 秒 (日本時間)
403e61000Dmitry DomanovJanuary 24, 2013 10:42:19 UTC 2013 年 1 月 24 日 (木) 19 時 42 分 19 秒 (日本時間)
4511e61000Dmitry DomanovJanuary 24, 2013 10:42:19 UTC 2013 年 1 月 24 日 (木) 19 時 42 分 19 秒 (日本時間)
5043e6920 / 7283Dmitry DomanovJanuary 28, 2013 09:00:50 UTC 2013 年 1 月 28 日 (月) 18 時 0 分 50 秒 (日本時間)