Table of contents 目次

52×10104+119

c91

name 名前Max Dettweiler
date 日付April 7, 2009 23:56:59 UTC 2009 年 4 月 8 日 (水) 8 時 56 分 59 秒 (日本時間)
composite number 合成数
7126956154329172964190407581733579595542753084022720093873577878288167714232922899398415101<91>
prime factors 素因数
19220610958847864530012111841<29>
370797586486105227102882427553203663841628754066639649741320861<63>
factorization results 素因数分解の結果
Number: 57779_104
N=7126956154329172964190407581733579595542753084022720093873577878288167714232922899398415101
  ( 91 digits)
SNFS difficulty: 106 digits.
Divisors found:
 r1=19220610958847864530012111841 (pp29)
 r2=370797586486105227102882427553203663841628754066639649741320861 (pp63)
Version: GGNFS-0.77.1-VC8(Sat
Total time: 0.35 hours.
Scaled time: 0.38 units (timescale=1.092).
Factorization parameters were as follows:
n: 7126956154329172964190407581733579595542753084022720093873577878288167714232922899398415101
m: 200000000000000000000000000
deg: 4
c4: 13
c0: 44
skew: 1.36
type: snfs
lss: 1
rlim: 410000
alim: 410000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2Factor base limits: 410000/410000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [205000, 265001)
Primes: RFBsize:34614, AFBsize:34155, largePrimes:979903 encountered
Relations: rels:899445, finalFF:86300
Max relations in full relation-set: 32
Initial matrix: 68836 x 86300 with sparse part having weight 3259399.
Pruned matrix : 57430 x 57838 with weight 1677024.
Total sieving time: 0.31 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,106,4,0,0,0,0,0,0,0,0,410000,410000,25,25,44,44,2.2,2.2,20000
total time: 0.35 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS via factLat.pl
execution environment 実行環境
Core 2 Duo E4500 (2.2Ghz), 32-bit Windows XP, Cygwin

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10112+119

c97

name 名前Max Dettweiler
date 日付April 7, 2009 17:43:01 UTC 2009 年 4 月 8 日 (水) 2 時 43 分 1 秒 (日本時間)
composite number 合成数
1362716013425455038269365465041655392090464515205357520408224328485283338132684220072647149320559<97>
prime factors 素因数
342635300376985740079889564063862325331<39>
3977161757490024436199522761739823455145947091623722643189<58>
factorization results 素因数分解の結果
Number: 57779_112
N=1362716013425455038269365465041655392090464515205357520408224328485283338132684220072647149320559
  ( 97 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=342635300376985740079889564063862325331
 (pp40)
 r2=3977161757490024436199522761739823455145947091623722643189
 (pp59)
Version: Msieve-1.41
Total time: 0.95 hours.
Scaled time: 1.03 units (timescale=1.088).
Factorization parameters were as follows:
n: 1362716013425455038269365465041655392090464515205357520408224328485283338132684220072647149320559
m: 20000000000000000000000
deg: 5
c5: 325
c0: 22
skew: 0.58
type: snfs
lss: 1
rlim: 560000
alim: 560000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 560000/560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [280000, 480001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 56708 x 56935
Total sieving time: 0.95 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,114,5,0,0,0,0,0,0,0,0,560000,560000,25,25,45,45,2.2,2.2,50000
total time: 0.95 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS (sieving) + msieve v1.41 (postprocessing) via factMsieve.pl
execution environment 実行環境
Core 2 Duo E4500 (2.2Ghz), 32-bit Windows XP

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10113+119

c111

name 名前Max Dettweiler
date 日付April 7, 2009 18:34:03 UTC 2009 年 4 月 8 日 (水) 3 時 34 分 3 秒 (日本時間)
composite number 合成数
241646916678284306891584181421069752311910404758585436126214043403503880291835122449927970630605511408522700869<111>
prime factors 素因数
21191076950997992778938517729283<32>
11403239072609000017840567548152233635496296586350682597719486296171078116689943<80>
factorization results 素因数分解の結果
Number: 57779_113
N=241646916678284306891584181421069752311910404758585436126214043403503880291835122449927970630605511408522700869
  ( 111 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=21191076950997992778938517729283
 (pp33)
 r2=11403239072609000017840567548152233635496296586350682597719486296171078116689943
 (pp81)
Version: Msieve-1.39
Total time: 1.01 hours.
Scaled time: 1.09 units (timescale=1.085).
Factorization parameters were as follows:
n: 241646916678284306891584181421069752311910404758585436126214043403503880291835122449927970630605511408522700869
m: 100000000000000000000000
deg: 5
c5: 13
c0: 275
skew: 1.84
type: snfs
lss: 1
rlim: 600000
alim: 600000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [300000, 500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 59957 x 60198
Total sieving time: 1.01 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,600000,600000,25,25,45,45,2.2,2.2,50000
total time: 1.01 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS (sieving) + msieve v1.39 (postprocessing) via factMsieve.pl
execution environment 実行環境
Core 2 Duo E4500 (2.2GHz), 32-bit Windows XP

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10114+119

c107

name 名前Max Dettweiler
date 日付April 7, 2009 19:54:45 UTC 2009 年 4 月 8 日 (水) 4 時 54 分 45 秒 (日本時間)
composite number 合成数
53645620335396606821871926431568222512112838049256370755536983441795441250273823494624946636921862091022903<107>
prime factors 素因数
156191211927687234042225904227266197684409<42>
343461195244667387875682227644599921552361260327667052031805907567<66>
factorization results 素因数分解の結果
Number: 57779_114
N=53645620335396606821871926431568222512112838049256370755536983441795441250273823494624946636921862091022903
  ( 107 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=156191211927687234042225904227266197684409
 (pp43)
 r2=343461195244667387875682227644599921552361260327667052031805907567
 (pp67)
Version: Msieve-1.39
Total time: 1.01 hours.
Scaled time: 1.10 units (timescale=1.090).
Factorization parameters were as follows:
n: 53645620335396606821871926431568222512112838049256370755536983441795441250273823494624946636921862091022903
m: 100000000000000000000000
deg: 5
c5: 26
c0: 55
skew: 1.16
type: snfs
lss: 1
rlim: 610000
alim: 610000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 610000/610000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [305000, 505001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 62274 x 62507
Total sieving time: 1.01 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,610000,610000,25,25,45,45,2.2,2.2,50000
total time: 1.01 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS (sieving) + msieve v1.39 (postprocessing) via factMsieve.pl
execution environment 実行環境
Core 2 Duo E4500 (2.2Ghz), 32-bit Windows XP, Cygwin

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10116+119

c108

name 名前Serge Batalov
date 日付April 7, 2009 16:10:42 UTC 2009 年 4 月 8 日 (水) 1 時 10 分 42 秒 (日本時間)
composite number 合成数
131591046908794877758412578663182761915457299692172988922289902860810902769937845752396332566096314712276047<108>
prime factors 素因数
2645715604664475548380977250122717151<37>
49737411941327305141315767551566392120952692721970711669814872930052497<71>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=2645698852
Step 1 took 6533ms
Step 2 took 7036ms
********** Factor found in step 2: 2645715604664475548380977250122717151
Found probable prime factor of 37 digits: 2645715604664475548380977250122717151
Probable prime cofactor has 71 digits
software ソフトウェア
GMP-ECM 6.2.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10117+119

c93

name 名前Max Dettweiler
date 日付April 8, 2009 01:01:27 UTC 2009 年 4 月 8 日 (水) 10 時 1 分 27 秒 (日本時間)
composite number 合成数
525744182303742310034568486879758102100680007383383575604620876268515086518106958523153164067<93>
prime factors 素因数
71924007866618544951803639781410382773<38>
7309717546312534089494372288483167098053407071733225079<55>
factorization results 素因数分解の結果
Number: 57779_117
N=525744182303742310034568486879758102100680007383383575604620876268515086518106958523153164067
  ( 93 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=71924007866618544951803639781410382773
 (pp39)
 r2=7309717546312534089494372288483167098053407071733225079
 (pp56)
Version: Msieve-1.41
Total time: 1.23 hours.
Scaled time: 1.34 units (timescale=1.088).
Factorization parameters were as follows:
n: 525744182303742310034568486879758102100680007383383575604620876268515086518106958523153164067
m: 200000000000000000000000
deg: 5
c5: 325
c0: 22
skew: 0.58
type: snfs
lss: 1
rlim: 670000
alim: 670000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 670000/670000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [335000, 585001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 73690 x 73919
Total sieving time: 1.23 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,119,5,0,0,0,0,0,0,0,0,670000,670000,25,25,45,45,2.2,2.2,50000
total time: 1.23 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS (sieving) + msieve v1.41 (postprocessing)
execution environment 実行環境
Core 2 Duo E4500 (2.2Ghz), 32-bit Windows XP, Cygwin

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10119+119

c97

name 名前Max Dettweiler
date 日付April 8, 2009 01:57:27 UTC 2009 年 4 月 8 日 (水) 10 時 57 分 27 秒 (日本時間)
composite number 合成数
7193524691371170713641673802460032864647362592976192622799232625333131233825174851481483825439719<97>
prime factors 素因数
65362022175359856796126919799848878544914687343<47>
110056642251239621825067197259113037041248732781833<51>
factorization results 素因数分解の結果
Number: 57779_119
N=7193524691371170713641673802460032864647362592976192622799232625333131233825174851481483825439719
  ( 97 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=65362022175359856796126919799848878544914687343
 (pp48)
 r2=110056642251239621825067197259113037041248732781833
 (pp52)
Version: Msieve-1.41
Total time: 1.25 hours.
Scaled time: 1.35 units (timescale=1.081).
Factorization parameters were as follows:
n: 7193524691371170713641673802460032864647362592976192622799232625333131233825174851481483825439719
m: 1000000000000000000000000
deg: 5
c5: 26
c0: 55
skew: 1.16
type: snfs
lss: 1
rlim: 740000
alim: 740000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 740000/740000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [370000, 620001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 83078 x 83303
Total sieving time: 1.25 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,740000,740000,25,25,46,46,2.2,2.2,50000
total time: 1.25 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS (sieving) + msieve v1.41 (postprocessing) via factMsieve.pl
execution environment 実行環境
Core 2 Duo E4500 (2.2Ghz), 32-bit Windows XP, Cygwin

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10121+119

c100

name 名前Robert Backstrom
date 日付April 7, 2009 18:11:53 UTC 2009 年 4 月 8 日 (水) 3 時 11 分 53 秒 (日本時間)
composite number 合成数
2835907610033120194199551806236055848179990717764081780027871686218836290400926117700635184267484573<100>
prime factors 素因数
364380770250394223205085702913<30>
7782813588336038236590157745377257175997742877047838277174240662961821<70>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 2835907610033120194199551806236055848179990717764081780027871686218836290400926117700635184267484573 (100 digits)
Using B1=410000, B2=258309880, polynomial Dickson(3), sigma=1875643875
Step 1 took 2844ms
Step 2 took 1547ms
********** Factor found in step 2: 364380770250394223205085702913
Found probable prime factor of 30 digits: 364380770250394223205085702913
Probable prime cofactor 7782813588336038236590157745377257175997742877047838277174240662961821 has 70 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10131+119

c115

name 名前Robert Backstrom
date 日付April 8, 2009 01:48:06 UTC 2009 年 4 月 8 日 (水) 10 時 48 分 6 秒 (日本時間)
composite number 合成数
1229715128262352446646479717712916921331965604795480595127657762873153975570827675722018351807183853308813442120421<115>
prime factors 素因数
7763687498449931812059462700396020833572123<43>
158393177019022554878786757562711332700651832607685626917554728976969727<72>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 1229715128262352446646479717712916921331965604795480595127657762873153975570827675722018351807183853308813442120421 (115 digits)
Using B1=3016000, B2=5707048630, polynomial Dickson(6), sigma=776505955
Step 1 took 23656ms
Step 2 took 10813ms
********** Factor found in step 2: 7763687498449931812059462700396020833572123
Found probable prime factor of 43 digits: 7763687498449931812059462700396020833572123
Probable prime cofactor 158393177019022554878786757562711332700651832607685626917554728976969727 has 72 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10133+119

c126

name 名前Max Dettweiler
date 日付April 8, 2009 06:32:23 UTC 2009 年 4 月 8 日 (水) 15 時 32 分 23 秒 (日本時間)
composite number 合成数
632632375809316105191624717695862274880643287462266870057488849072710396462327540718929685197421552487417492556979729043772429<126>
prime factors 素因数
552786152596759621451787350162034188925429337<45>
1144443240550567536987813732224100088589848122719187256363678808463144355031420117<82>
factorization results 素因数分解の結果
Number: 57779_133
N=632632375809316105191624717695862274880643287462266870057488849072710396462327540718929685197421552487417492556979729043772429
  ( 126 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=552786152596759621451787350162034188925429337
 (pp46)
 r2=1144443240550567536987813732224100088589848122719187256363678808463144355031420117
 (pp83)
Version: Msieve-1.39
Total time: 3.25 hours.
Scaled time: 3.54 units (timescale=1.090).
Factorization parameters were as follows:
n: 632632375809316105191624717695862274880643287462266870057488849072710396462327540718929685197421552487417492556979729043772429
m: 1000000000000000000000000000
deg: 5
c5: 13
c0: 275
skew: 1.84
type: snfs
lss: 1
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [650000, 1175001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 182164 x 182412
Total sieving time: 3.25 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,48,48,2.3,2.3,75000
total time: 3.25 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS (sieving) + msieve v1.39 (postprocessing) via factMsieve.pl
execution environment 実行環境
Core 2 Duo E4500 (2.2Ghz), 32-bit Windows XP, Cygwin

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10136+119

c137

name 名前Sinkiti Sibata
date 日付April 9, 2009 05:50:06 UTC 2009 年 4 月 9 日 (木) 14 時 50 分 6 秒 (日本時間)
composite number 合成数
57777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<137>
prime factors 素因数
162327654977075883402432607143510339247<39>
225516353255079604804093456753934845067833<42>
1578302626785572386446896929818689186951420900821885917029<58>
factorization results 素因数分解の結果
Number: 57779_136
N=57777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
  ( 137 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=162327654977075883402432607143510339247 (pp39)
 r2=225516353255079604804093456753934845067833 (pp42)
 r3=1578302626785572386446896929818689186951420900821885917029 (pp58)
Version: Msieve-1.40
Total time: 5.82 hours.
Scaled time: 11.40 units (timescale=1.960).
Factorization parameters were as follows:
name: 57779_136
n: 57777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
m: 2000000000000000000000000000
deg: 5
c5: 65
c0: 44
skew: 0.92
type: snfs
lss: 1
rlim: 1410000
alim: 1410000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1410000/1410000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [705000, 1305001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 195509 x 195757
Total sieving time: 5.82 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,138.000,5,0,0,0,0,0,0,0,0,1410000,1410000,26,26,48,48,2.3,2.3,75000
total time: 5.82 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10139+119

c128

name 名前Robert Backstrom
date 日付April 9, 2009 13:06:22 UTC 2009 年 4 月 9 日 (木) 22 時 6 分 22 秒 (日本時間)
composite number 合成数
56540207875193597111760613217706491076129293855908752726056959507882390115350784593308042957937614467659848751785382557504810007<128>
prime factors 素因数
106562174939360003911367421423355456729232756135646331248841<60>
530584214402232516348340135462445847762080807588416523417975808079327<69>
factorization results 素因数分解の結果
Number: n
N=56540207875193597111760613217706491076129293855908752726056959507882390115350784593308042957937614467659848751785382557504810007
  ( 128 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=106562174939360003911367421423355456729232756135646331248841 (pp60)
 r2=530584214402232516348340135462445847762080807588416523417975808079327 (pp69)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 4.78 hours.
Scaled time: 12.72 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_5_7_138_9
n: 56540207875193597111760613217706491076129293855908752726056959507882390115350784593308042957937614467659848751785382557504810007
m: 10000000000000000000000000000
deg: 5
c5: 26
c0: 55
skew: 1.16
type: snfs
lss: 1
rlim: 1600000
alim: 1600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.3
alambda: 2.3
qintsize: 100000
Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved rational special-q in [800000, 1700001)
Primes: RFBsize:121127, AFBsize:121466, largePrimes:6325858 encountered
Relations: rels:5753045, finalFF:323128
Max relations in full relation-set: 28
Initial matrix: 242659 x 323128 with sparse part having weight 28887173.
Pruned matrix : 217171 x 218448 with weight 16093286.
Total sieving time: 4.48 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.15 hours.
Total square root time: 0.07 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1600000,1600000,28,28,56,56,2.3,2.3,100000
total time: 4.78 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10140+119

c125

name 名前Robert Backstrom
date 日付April 9, 2009 12:56:19 UTC 2009 年 4 月 9 日 (木) 21 時 56 分 19 秒 (日本時間)
composite number 合成数
18249765458967315251100758570354262987161550021582943083881949385207687813350351661755670150068944041437021726912929793023933<125>
prime factors 素因数
1858703100709054768133619754033983334336277<43>
9818547917634304819287024108448651704534852780908499389251702140960977795402014729<82>
factorization results 素因数分解の結果
Number: n
N=18249765458967315251100758570354262987161550021582943083881949385207687813350351661755670150068944041437021726912929793023933
  ( 125 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=1858703100709054768133619754033983334336277 (pp43)
 r2=9818547917634304819287024108448651704534852780908499389251702140960977795402014729 (pp82)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 3.60 hours.
Scaled time: 9.55 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_5_7_139_9
n: 18249765458967315251100758570354262987161550021582943083881949385207687813350351661755670150068944041437021726912929793023933
m: 10000000000000000000000000000
deg: 5
c5: 52
c0: 11
skew: 0.73
type: snfs
lss: 1
rlim: 1600000
alim: 1600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.3
alambda: 2.3
qintsize: 100000
Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved rational special-q in [800000, 1400001)
Primes: RFBsize:121127, AFBsize:120941, largePrimes:5917320 encountered
Relations: rels:5319702, finalFF:317067
Max relations in full relation-set: 28
Initial matrix: 242136 x 317067 with sparse part having weight 24371004.
Pruned matrix : 208945 x 210219 with weight 12742149.
Total sieving time: 3.16 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.11 hours.
Total square root time: 0.24 hours, sqrts: 4.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1600000,1600000,28,28,56,56,2.3,2.3,100000
total time: 3.60 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10142+119

c110

name 名前Andreas Tete
date 日付April 9, 2009 06:10:08 UTC 2009 年 4 月 9 日 (木) 15 時 10 分 8 秒 (日本時間)
composite number 合成数
34168553413699943534215778841743330944560565854995941012155248657561572877659329534745682232709216307282126701<110>
prime factors 素因数
3343047086365563711398608131791<31>
10220781380272666838366366338702762386870049984758453088533674483692999433547011<80>
factorization results 素因数分解の結果
Thu Apr 09 03:03:15 2009  Msieve v. 1.41
Thu Apr 09 03:03:15 2009  random seeds: 0244d728 35297466
Thu Apr 09 03:03:15 2009  factoring 34168553413699943534215778841743330944560565854995941012155248657561572877659329534745682232709216307282126701 (110 digits)
Thu Apr 09 03:03:16 2009  searching for 15-digit factors
Thu Apr 09 03:03:18 2009  commencing number field sieve (110-digit input)
Thu Apr 09 03:03:18 2009  R0: -1700913657140603924940
Thu Apr 09 03:03:18 2009  R1:  198739532677
Thu Apr 09 03:03:18 2009  A0:  2785491139512664258540157293
Thu Apr 09 03:03:18 2009  A1:  403368444129627968520825
Thu Apr 09 03:03:18 2009  A2:  728029085584517419
Thu Apr 09 03:03:18 2009  A3: -89078160501357
Thu Apr 09 03:03:18 2009  A4:  189651940
Thu Apr 09 03:03:18 2009  A5:  2400
Thu Apr 09 03:03:18 2009  skew 104086.27, size 1.972286e-010, alpha -6.860694, combined = 1.100483e-009
Thu Apr 09 03:03:19 2009  
Thu Apr 09 03:03:19 2009  commencing relation filtering
Thu Apr 09 03:03:19 2009  commencing duplicate removal, pass 1
Thu Apr 09 03:04:30 2009  found 550305 hash collisions in 5661426 relations
Thu Apr 09 03:04:47 2009  added 42618 free relations
Thu Apr 09 03:04:47 2009  commencing duplicate removal, pass 2
Thu Apr 09 03:05:13 2009  found 539667 duplicates and 5164376 unique relations
Thu Apr 09 03:05:13 2009  memory use: 41.3 MB
Thu Apr 09 03:05:13 2009  reading rational ideals above 3080192
Thu Apr 09 03:05:13 2009  reading algebraic ideals above 3080192
Thu Apr 09 03:05:13 2009  commencing singleton removal, pass 1
Thu Apr 09 03:06:09 2009  relations with 0 large ideals: 111892
Thu Apr 09 03:06:09 2009  relations with 1 large ideals: 725947
Thu Apr 09 03:06:09 2009  relations with 2 large ideals: 1725109
Thu Apr 09 03:06:09 2009  relations with 3 large ideals: 1771461
Thu Apr 09 03:06:09 2009  relations with 4 large ideals: 711542
Thu Apr 09 03:06:09 2009  relations with 5 large ideals: 76946
Thu Apr 09 03:06:09 2009  relations with 6 large ideals: 41477
Thu Apr 09 03:06:09 2009  relations with 7+ large ideals: 2
Thu Apr 09 03:06:09 2009  5164376 relations and about 5234055 large ideals
Thu Apr 09 03:06:09 2009  commencing singleton removal, pass 2
Thu Apr 09 03:07:05 2009  found 2269372 singletons
Thu Apr 09 03:07:05 2009  current dataset: 2895004 relations and about 2370513 large ideals
Thu Apr 09 03:07:05 2009  commencing singleton removal, pass 3
Thu Apr 09 03:07:46 2009  found 592847 singletons
Thu Apr 09 03:07:46 2009  current dataset: 2302157 relations and about 1730815 large ideals
Thu Apr 09 03:07:46 2009  commencing singleton removal, pass 4
Thu Apr 09 03:08:23 2009  found 185711 singletons
Thu Apr 09 03:08:23 2009  current dataset: 2116446 relations and about 1539384 large ideals
Thu Apr 09 03:08:23 2009  commencing singleton removal, final pass
Thu Apr 09 03:09:01 2009  memory use: 33.3 MB
Thu Apr 09 03:09:01 2009  commencing in-memory singleton removal
Thu Apr 09 03:09:01 2009  begin with 2116446 relations and 1590336 unique ideals
Thu Apr 09 03:09:03 2009  reduce to 1885716 relations and 1355557 ideals in 14 passes
Thu Apr 09 03:09:03 2009  max relations containing the same ideal: 39
Thu Apr 09 03:09:03 2009  reading rational ideals above 720000
Thu Apr 09 03:09:03 2009  reading algebraic ideals above 720000
Thu Apr 09 03:09:03 2009  commencing singleton removal, final pass
Thu Apr 09 03:09:43 2009  keeping 1723978 ideals with weight <= 20, new excess is 193681
Thu Apr 09 03:09:45 2009  memory use: 47.9 MB
Thu Apr 09 03:09:45 2009  commencing in-memory singleton removal
Thu Apr 09 03:09:45 2009  begin with 1905859 relations and 1723978 unique ideals
Thu Apr 09 03:09:47 2009  reduce to 1875377 relations and 1595193 ideals in 11 passes
Thu Apr 09 03:09:47 2009  max relations containing the same ideal: 20
Thu Apr 09 03:09:48 2009  removing 235209 relations and 207452 ideals in 27757 cliques
Thu Apr 09 03:09:48 2009  commencing in-memory singleton removal
Thu Apr 09 03:09:48 2009  begin with 1640168 relations and 1595193 unique ideals
Thu Apr 09 03:09:50 2009  reduce to 1620757 relations and 1367935 ideals in 8 passes
Thu Apr 09 03:09:50 2009  max relations containing the same ideal: 20
Thu Apr 09 03:09:51 2009  removing 174444 relations and 146687 ideals in 27757 cliques
Thu Apr 09 03:09:51 2009  commencing in-memory singleton removal
Thu Apr 09 03:09:51 2009  begin with 1446313 relations and 1367935 unique ideals
Thu Apr 09 03:09:52 2009  reduce to 1432880 relations and 1207596 ideals in 7 passes
Thu Apr 09 03:09:52 2009  max relations containing the same ideal: 20
Thu Apr 09 03:09:53 2009  relations with 0 large ideals: 15040
Thu Apr 09 03:09:53 2009  relations with 1 large ideals: 103426
Thu Apr 09 03:09:53 2009  relations with 2 large ideals: 299605
Thu Apr 09 03:09:53 2009  relations with 3 large ideals: 441521
Thu Apr 09 03:09:53 2009  relations with 4 large ideals: 358753
Thu Apr 09 03:09:53 2009  relations with 5 large ideals: 163345
Thu Apr 09 03:09:53 2009  relations with 6 large ideals: 44150
Thu Apr 09 03:09:53 2009  relations with 7+ large ideals: 7040
Thu Apr 09 03:09:53 2009  commencing 2-way merge
Thu Apr 09 03:09:54 2009  reduce to 864816 relation sets and 639532 unique ideals
Thu Apr 09 03:09:54 2009  commencing full merge
Thu Apr 09 03:10:04 2009  memory use: 49.4 MB
Thu Apr 09 03:10:05 2009  found 403958 cycles, need 375732
Thu Apr 09 03:10:05 2009  weight of 375732 cycles is about 26631272 (70.88/cycle)
Thu Apr 09 03:10:05 2009  distribution of cycle lengths:
Thu Apr 09 03:10:05 2009  1 relations: 40847
Thu Apr 09 03:10:05 2009  2 relations: 37918
Thu Apr 09 03:10:05 2009  3 relations: 37801
Thu Apr 09 03:10:05 2009  4 relations: 35042
Thu Apr 09 03:10:05 2009  5 relations: 32630
Thu Apr 09 03:10:05 2009  6 relations: 29567
Thu Apr 09 03:10:05 2009  7 relations: 26654
Thu Apr 09 03:10:05 2009  8 relations: 23522
Thu Apr 09 03:10:05 2009  9 relations: 20609
Thu Apr 09 03:10:05 2009  10+ relations: 91142
Thu Apr 09 03:10:05 2009  heaviest cycle: 20 relations
Thu Apr 09 03:10:05 2009  commencing cycle optimization
Thu Apr 09 03:10:05 2009  start with 2428548 relations
Thu Apr 09 03:10:12 2009  pruned 77505 relations
Thu Apr 09 03:10:12 2009  memory use: 61.7 MB
Thu Apr 09 03:10:12 2009  distribution of cycle lengths:
Thu Apr 09 03:10:12 2009  1 relations: 40847
Thu Apr 09 03:10:12 2009  2 relations: 39017
Thu Apr 09 03:10:12 2009  3 relations: 39486
Thu Apr 09 03:10:12 2009  4 relations: 36367
Thu Apr 09 03:10:12 2009  5 relations: 33787
Thu Apr 09 03:10:12 2009  6 relations: 30392
Thu Apr 09 03:10:12 2009  7 relations: 27261
Thu Apr 09 03:10:12 2009  8 relations: 23779
Thu Apr 09 03:10:12 2009  9 relations: 20663
Thu Apr 09 03:10:12 2009  10+ relations: 84133
Thu Apr 09 03:10:12 2009  heaviest cycle: 20 relations
Thu Apr 09 03:10:13 2009  RelProcTime: 321
Thu Apr 09 03:10:13 2009  
Thu Apr 09 03:10:13 2009  commencing linear algebra
Thu Apr 09 03:10:13 2009  read 375732 cycles
Thu Apr 09 03:10:14 2009  cycles contain 1262361 unique relations
Thu Apr 09 03:10:36 2009  read 1262361 relations
Thu Apr 09 03:10:38 2009  using 20 quadratic characters above 129051674
Thu Apr 09 03:10:46 2009  building initial matrix
Thu Apr 09 03:11:03 2009  memory use: 140.2 MB
Thu Apr 09 03:11:03 2009  read 375732 cycles
Thu Apr 09 03:11:04 2009  matrix is 375495 x 375732 (108.0 MB) with weight 35920809 (95.60/col)
Thu Apr 09 03:11:04 2009  sparse part has weight 25294481 (67.32/col)
Thu Apr 09 03:11:09 2009  filtering completed in 3 passes
Thu Apr 09 03:11:10 2009  matrix is 373450 x 373650 (107.6 MB) with weight 35776280 (95.75/col)
Thu Apr 09 03:11:10 2009  sparse part has weight 25215452 (67.48/col)
Thu Apr 09 03:11:11 2009  read 373650 cycles
Thu Apr 09 03:11:11 2009  matrix is 373450 x 373650 (107.6 MB) with weight 35776280 (95.75/col)
Thu Apr 09 03:11:11 2009  sparse part has weight 25215452 (67.48/col)
Thu Apr 09 03:11:11 2009  saving the first 48 matrix rows for later
Thu Apr 09 03:11:12 2009  matrix is 373402 x 373650 (102.5 MB) with weight 28487580 (76.24/col)
Thu Apr 09 03:11:12 2009  sparse part has weight 24633976 (65.93/col)
Thu Apr 09 03:11:12 2009  matrix includes 64 packed rows
Thu Apr 09 03:11:12 2009  using block size 65536 for processor cache size 3072 kB
Thu Apr 09 03:11:15 2009  commencing Lanczos iteration
Thu Apr 09 03:11:15 2009  memory use: 99.6 MB
Thu Apr 09 03:30:38 2009  lanczos halted after 5906 iterations (dim = 373402)
Thu Apr 09 03:30:39 2009  recovered 31 nontrivial dependencies
Thu Apr 09 03:30:39 2009  BLanczosTime: 1226
Thu Apr 09 03:30:39 2009  
Thu Apr 09 03:30:39 2009  commencing square root phase
Thu Apr 09 03:30:39 2009  reading relations for dependency 1
Thu Apr 09 03:30:39 2009  read 186146 cycles
Thu Apr 09 03:30:40 2009  cycles contain 777166 unique relations
Thu Apr 09 03:30:58 2009  read 777166 relations
Thu Apr 09 03:31:03 2009  multiplying 628388 relations
Thu Apr 09 03:32:32 2009  multiply complete, coefficients have about 25.11 million bits
Thu Apr 09 03:32:33 2009  initial square root is modulo 16293239
Thu Apr 09 03:34:38 2009  sqrtTime: 239
Thu Apr 09 03:34:38 2009  prp31 factor: 3343047086365563711398608131791
Thu Apr 09 03:34:38 2009  prp80 factor: 10220781380272666838366366338702762386870049984758453088533674483692999433547011
Thu Apr 09 03:34:38 2009  elapsed time 00:31:23
software ソフトウェア
Msieve v1.41 / GGNFS / Msieve
execution environment 実行環境
Intel Core 2 Duo T8100
Windows Vista Home Premium 32 bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10143+119

c135

name 名前Serge Batalov
date 日付April 7, 2009 16:29:53 UTC 2009 年 4 月 8 日 (水) 1 時 29 分 53 秒 (日本時間)
composite number 合成数
721487543181173410032853680353390670245309814724173086036523878050716196243725425581890348985568388947243564493206712841145167766494577<135>
prime factors 素因数
2627625558851476694029546636907<31>
274577761184714753670872305144563611669505000759721875940972634740657525851157819603161894138821807409811<105>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=4099621279
Step 1 took 8108ms
Step 2 took 7905ms
********** Factor found in step 2: 2627625558851476694029546636907
Found probable prime factor of 31 digits: 2627625558851476694029546636907
Probable prime cofactor has 105 digits
software ソフトウェア
GMP-ECM 6.2.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10144+119

c122

name 名前Jo Yeong Uk
date 日付April 8, 2009 23:24:52 UTC 2009 年 4 月 9 日 (木) 8 時 24 分 52 秒 (日本時間)
composite number 合成数
24871127822807536540677308893737853256793987719707497098779318903928078213373681114319761189526515069860939915500591264757<122>
prime factors 素因数
724290725579767305836091030202155649537<39>
34338597671396579436444177778028131407510991420689462672723960428011307199603139061<83>
factorization results 素因数分解の結果
Number: 57779_144
N=24871127822807536540677308893737853256793987719707497098779318903928078213373681114319761189526515069860939915500591264757
  ( 122 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=724290725579767305836091030202155649537
 r2=34338597671396579436444177778028131407510991420689462672723960428011307199603139061
Version: 
Total time: 5.51 hours.
Scaled time: 13.14 units (timescale=2.384).
Factorization parameters were as follows:
n: 24871127822807536540677308893737853256793987719707497098779318903928078213373681114319761189526515069860939915500591264757
m: 100000000000000000000000000000
deg: 5
c5: 26
c0: 55
skew: 1.16
type: snfs
lss: 1
rlim: 1350000
alim: 1350000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1350000/1350000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [675000, 1275001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4442108
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 236109 x 236357
Total sieving time: 5.21 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1350000,1350000,27,27,49,49,2.3,2.3,75000
total time: 5.51 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10145+119

c133

name 名前Jo Yeong Uk
date 日付April 9, 2009 04:24:07 UTC 2009 年 4 月 9 日 (木) 13 時 24 分 7 秒 (日本時間)
composite number 合成数
1779272625363021460612243496577185608423839199881627329550077736603303475175902484372231463577430300728043315288438234114262937132597<133>
prime factors 素因数
56954380313470557383476264133069369<35>
877944135394782865480706076381912796258246379<45>
35583485323197678203373839989701525841764457126274647<53>
factorization results 素因数分解の結果
Number: 57779_145
N=1779272625363021460612243496577185608423839199881627329550077736603303475175902484372231463577430300728043315288438234114262937132597
  ( 133 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=56954380313470557383476264133069369
 r2=877944135394782865480706076381912796258246379
 r3=35583485323197678203373839989701525841764457126274647
Version: 
Total time: 4.23 hours.
Scaled time: 10.09 units (timescale=2.384).
Factorization parameters were as follows:
n: 1779272625363021460612243496577185608423839199881627329550077736603303475175902484372231463577430300728043315288438234114262937132597
m: 100000000000000000000000000000
deg: 5
c5: 52
c0: 11
skew: 0.73
type: snfs
lss: 1
rlim: 1350000
alim: 1350000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1350000/1350000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [675000, 1125001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4184175
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 215777 x 216025
Total sieving time: 3.95 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1350000,1350000,27,27,49,49,2.3,2.3,75000
total time: 4.23 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10149+119

c106

name 名前Andreas Tete
date 日付April 8, 2009 14:37:21 UTC 2009 年 4 月 8 日 (水) 23 時 37 分 21 秒 (日本時間)
composite number 合成数
5362765647171864912608824510227527182258184685704261834523201022179084754944556645341581873430918024187631<106>
prime factors 素因数
449254024867847727675909476262097732256487477847<48>
11937045302486433091318474345081585284330222063528243378473<59>
factorization results 素因数分解の結果
Wed Apr 08 15:53:47 2009  Msieve v. 1.41
Wed Apr 08 15:53:47 2009  random seeds: 55fce73c e1f53e2b
Wed Apr 08 15:53:47 2009  factoring 5362765647171864912608824510227527182258184685704261834523201022179084754944556645341581873430918024187631 (106 digits)
Wed Apr 08 15:53:49 2009  searching for 15-digit factors
Wed Apr 08 15:53:52 2009  commencing number field sieve (106-digit input)
Wed Apr 08 15:53:52 2009  R0: -271133063771250244924
Wed Apr 08 15:53:52 2009  R1:  100195085147
Wed Apr 08 15:53:52 2009  A0: -59425125008032265936367375
Wed Apr 08 15:53:52 2009  A1:  5255982720263690813535
Wed Apr 08 15:53:52 2009  A2:  111647876233073929
Wed Apr 08 15:53:52 2009  A3: -15196907018525
Wed Apr 08 15:53:52 2009  A4: -106597328
Wed Apr 08 15:53:52 2009  A5:  3660
Wed Apr 08 15:53:52 2009  skew 36177.73, size 5.317563e-010, alpha -6.255835, combined = 1.903280e-009
Wed Apr 08 15:53:52 2009  
Wed Apr 08 15:53:52 2009  commencing relation filtering
Wed Apr 08 15:53:52 2009  commencing duplicate removal, pass 1
Wed Apr 08 15:54:41 2009  found 351678 hash collisions in 4591979 relations
Wed Apr 08 15:55:04 2009  added 31407 free relations
Wed Apr 08 15:55:04 2009  commencing duplicate removal, pass 2
Wed Apr 08 15:55:11 2009  found 335788 duplicates and 4287597 unique relations
Wed Apr 08 15:55:11 2009  memory use: 40.3 MB
Wed Apr 08 15:55:11 2009  reading rational ideals above 2555904
Wed Apr 08 15:55:11 2009  reading algebraic ideals above 2555904
Wed Apr 08 15:55:11 2009  commencing singleton removal, pass 1
Wed Apr 08 15:55:58 2009  relations with 0 large ideals: 94646
Wed Apr 08 15:55:58 2009  relations with 1 large ideals: 617918
Wed Apr 08 15:55:58 2009  relations with 2 large ideals: 1486882
Wed Apr 08 15:55:58 2009  relations with 3 large ideals: 1505950
Wed Apr 08 15:55:58 2009  relations with 4 large ideals: 534854
Wed Apr 08 15:55:58 2009  relations with 5 large ideals: 17526
Wed Apr 08 15:55:58 2009  relations with 6 large ideals: 29821
Wed Apr 08 15:55:58 2009  relations with 7+ large ideals: 0
Wed Apr 08 15:55:58 2009  4287597 relations and about 4323015 large ideals
Wed Apr 08 15:55:58 2009  commencing singleton removal, pass 2
Wed Apr 08 15:56:45 2009  found 1956078 singletons
Wed Apr 08 15:56:45 2009  current dataset: 2331519 relations and about 1946125 large ideals
Wed Apr 08 15:56:45 2009  commencing singleton removal, pass 3
Wed Apr 08 15:57:13 2009  found 481565 singletons
Wed Apr 08 15:57:13 2009  current dataset: 1849954 relations and about 1424840 large ideals
Wed Apr 08 15:57:13 2009  commencing singleton removal, final pass
Wed Apr 08 15:57:38 2009  memory use: 33.3 MB
Wed Apr 08 15:57:38 2009  commencing in-memory singleton removal
Wed Apr 08 15:57:38 2009  begin with 1849954 relations and 1464090 unique ideals
Wed Apr 08 15:57:43 2009  reduce to 1493132 relations and 1095577 ideals in 17 passes
Wed Apr 08 15:57:43 2009  max relations containing the same ideal: 15
Wed Apr 08 15:57:43 2009  reading rational ideals above 100000
Wed Apr 08 15:57:43 2009  reading algebraic ideals above 100000
Wed Apr 08 15:57:43 2009  commencing singleton removal, final pass
Wed Apr 08 15:58:20 2009  keeping 1381232 ideals with weight <= 25, new excess is 104356
Wed Apr 08 15:58:23 2009  memory use: 46.6 MB
Wed Apr 08 15:58:23 2009  commencing in-memory singleton removal
Wed Apr 08 15:58:23 2009  begin with 1496135 relations and 1381232 unique ideals
Wed Apr 08 15:58:27 2009  reduce to 1480368 relations and 1350857 ideals in 12 passes
Wed Apr 08 15:58:27 2009  max relations containing the same ideal: 25
Wed Apr 08 15:58:29 2009  relations with 0 large ideals: 3762
Wed Apr 08 15:58:29 2009  relations with 1 large ideals: 37480
Wed Apr 08 15:58:29 2009  relations with 2 large ideals: 160886
Wed Apr 08 15:58:29 2009  relations with 3 large ideals: 359726
Wed Apr 08 15:58:29 2009  relations with 4 large ideals: 446278
Wed Apr 08 15:58:29 2009  relations with 5 large ideals: 312236
Wed Apr 08 15:58:29 2009  relations with 6 large ideals: 127460
Wed Apr 08 15:58:29 2009  relations with 7+ large ideals: 32540
Wed Apr 08 15:58:29 2009  commencing 2-way merge
Wed Apr 08 15:58:32 2009  reduce to 831906 relation sets and 702521 unique ideals
Wed Apr 08 15:58:32 2009  ignored 126 oversize relation sets
Wed Apr 08 15:58:32 2009  commencing full merge
Wed Apr 08 15:58:48 2009  memory use: 53.8 MB
Wed Apr 08 15:58:49 2009  found 362928 cycles, need 348721
Wed Apr 08 15:58:49 2009  weight of 348721 cycles is about 24522820 (70.32/cycle)
Wed Apr 08 15:58:49 2009  distribution of cycle lengths:
Wed Apr 08 15:58:49 2009  1 relations: 38690
Wed Apr 08 15:58:49 2009  2 relations: 37640
Wed Apr 08 15:58:49 2009  3 relations: 37108
Wed Apr 08 15:58:49 2009  4 relations: 33406
Wed Apr 08 15:58:49 2009  5 relations: 30118
Wed Apr 08 15:58:49 2009  6 relations: 26528
Wed Apr 08 15:58:49 2009  7 relations: 23071
Wed Apr 08 15:58:49 2009  8 relations: 19577
Wed Apr 08 15:58:49 2009  9 relations: 16983
Wed Apr 08 15:58:49 2009  10+ relations: 85600
Wed Apr 08 15:58:49 2009  heaviest cycle: 23 relations
Wed Apr 08 15:58:49 2009  commencing cycle optimization
Wed Apr 08 15:58:50 2009  start with 2308529 relations
Wed Apr 08 15:59:03 2009  pruned 63973 relations
Wed Apr 08 15:59:03 2009  memory use: 59.7 MB
Wed Apr 08 15:59:03 2009  distribution of cycle lengths:
Wed Apr 08 15:59:03 2009  1 relations: 38690
Wed Apr 08 15:59:03 2009  2 relations: 38619
Wed Apr 08 15:59:03 2009  3 relations: 38562
Wed Apr 08 15:59:03 2009  4 relations: 34268
Wed Apr 08 15:59:03 2009  5 relations: 31073
Wed Apr 08 15:59:03 2009  6 relations: 26924
Wed Apr 08 15:59:03 2009  7 relations: 23273
Wed Apr 08 15:59:03 2009  8 relations: 19526
Wed Apr 08 15:59:03 2009  9 relations: 17009
Wed Apr 08 15:59:03 2009  10+ relations: 80777
Wed Apr 08 15:59:03 2009  heaviest cycle: 23 relations
Wed Apr 08 15:59:04 2009  RelProcTime: 258
Wed Apr 08 15:59:05 2009  
Wed Apr 08 15:59:05 2009  commencing linear algebra
Wed Apr 08 15:59:05 2009  read 348721 cycles
Wed Apr 08 15:59:07 2009  cycles contain 1241197 unique relations
Wed Apr 08 15:59:29 2009  read 1241197 relations
Wed Apr 08 15:59:33 2009  using 20 quadratic characters above 67107102
Wed Apr 08 15:59:44 2009  building initial matrix
Wed Apr 08 16:00:16 2009  memory use: 133.6 MB
Wed Apr 08 16:00:16 2009  read 348721 cycles
Wed Apr 08 16:00:18 2009  matrix is 348372 x 348721 (98.2 MB) with weight 32653745 (93.64/col)
Wed Apr 08 16:00:18 2009  sparse part has weight 23311371 (66.85/col)
Wed Apr 08 16:00:25 2009  filtering completed in 3 passes
Wed Apr 08 16:00:25 2009  matrix is 345226 x 345426 (97.5 MB) with weight 32393005 (93.78/col)
Wed Apr 08 16:00:25 2009  sparse part has weight 23152847 (67.03/col)
Wed Apr 08 16:00:27 2009  read 345426 cycles
Wed Apr 08 16:00:28 2009  matrix is 345226 x 345426 (97.5 MB) with weight 32393005 (93.78/col)
Wed Apr 08 16:00:28 2009  sparse part has weight 23152847 (67.03/col)
Wed Apr 08 16:00:28 2009  saving the first 48 matrix rows for later
Wed Apr 08 16:00:28 2009  matrix is 345178 x 345426 (93.6 MB) with weight 25761950 (74.58/col)
Wed Apr 08 16:00:28 2009  sparse part has weight 22474477 (65.06/col)
Wed Apr 08 16:00:28 2009  matrix includes 64 packed rows
Wed Apr 08 16:00:28 2009  using block size 65536 for processor cache size 3072 kB
Wed Apr 08 16:00:33 2009  commencing Lanczos iteration
Wed Apr 08 16:00:33 2009  memory use: 91.0 MB
Wed Apr 08 16:20:55 2009  lanczos halted after 5461 iterations (dim = 345178)
Wed Apr 08 16:20:56 2009  recovered 30 nontrivial dependencies
Wed Apr 08 16:20:56 2009  BLanczosTime: 1311
Wed Apr 08 16:20:56 2009  
Wed Apr 08 16:20:56 2009  commencing square root phase
Wed Apr 08 16:20:56 2009  reading relations for dependency 1
Wed Apr 08 16:20:56 2009  read 172900 cycles
Wed Apr 08 16:20:57 2009  cycles contain 761657 unique relations
Wed Apr 08 16:21:06 2009  read 761657 relations
Wed Apr 08 16:21:10 2009  multiplying 618710 relations
Wed Apr 08 16:22:39 2009  multiply complete, coefficients have about 24.39 million bits
Wed Apr 08 16:22:40 2009  initial square root is modulo 10105189
Wed Apr 08 16:24:44 2009  sqrtTime: 228
Wed Apr 08 16:24:44 2009  prp48 factor: 449254024867847727675909476262097732256487477847
Wed Apr 08 16:24:44 2009  prp59 factor: 11937045302486433091318474345081585284330222063528243378473
Wed Apr 08 16:24:44 2009  elapsed time 00:30:57
software ソフトウェア
Msieve v1.41 for Poly search and line sieving
GGNFS for sieving
Msieve for final factorization
total time 13,55 hours
execution environment 実行環境
Intel Core 2 Duo T8100
Windows Vista Home Premium 32 bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10151+119

c152

name 名前Sinkiti Sibata
date 日付April 9, 2009 19:56:18 UTC 2009 年 4 月 10 日 (金) 4 時 56 分 18 秒 (日本時間)
composite number 合成数
57777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<152>
prime factors 素因数
3953535681244358031390387279802526646473653843971170017410808979<64>
14614204205080672347139781653275652403689134613732690915539647764779044145671465056087201<89>
factorization results 素因数分解の結果
Number: 57779_151
N=57777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
  ( 152 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=3953535681244358031390387279802526646473653843971170017410808979 (pp64)
 r2=14614204205080672347139781653275652403689134613732690915539647764779044145671465056087201 (pp89)
Version: Msieve-1.40
Total time: 15.17 hours.
Scaled time: 39.07 units (timescale=2.575).
Factorization parameters were as follows:
name: 57779_151
n: 57777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
m: 2000000000000000000000000000000
deg: 5
c5: 65
c0: 44
skew: 0.92
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 1950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 416304 x 416552
Total sieving time: 15.17 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 15.17 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10152+119

c149

name 名前Robert Backstrom
date 日付April 8, 2009 07:02:20 UTC 2009 年 4 月 8 日 (水) 16 時 2 分 20 秒 (日本時間)
composite number 合成数
84805192687182999820604400084805192687182999820604400084805192687182999820604400084805192687182999820604400084805192687182999820604400084805192687183<149>
prime factors 素因数
93808864550850625172985855237704776067<38>
904021097507399866702195420272204652716997344737015447439748923511012042343544803174140630732101383321666439749<111>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 84805192687182999820604400084805192687182999820604400084805192687182999820604400084805192687182999820604400084805192687182999820604400084805192687183 (149 digits)
Using B1=2012000, B2=2853999340, polynomial Dickson(6), sigma=853283790
Step 1 took 23687ms
Step 2 took 9922ms
********** Factor found in step 2: 93808864550850625172985855237704776067
Found probable prime factor of 38 digits: 93808864550850625172985855237704776067
Probable prime cofactor 904021097507399866702195420272204652716997344737015447439748923511012042343544803174140630732101383321666439749 has 111 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10153+119

c134

name 名前Jo Yeong Uk
date 日付April 9, 2009 23:28:18 UTC 2009 年 4 月 10 日 (金) 8 時 28 分 18 秒 (日本時間)
composite number 合成数
14700041650559466010672832813381002063469358855134283947591049880295228687855696994256445000105441634400101420815978396489308196556313<134>
prime factors 素因数
19627040332408708604436682113596563<35>
748968841027261409761188316700947313844944317053127062144103065053216914230007485726769694669513251<99>
factorization results 素因数分解の結果
Number: 57779_153
N=14700041650559466010672832813381002063469358855134283947591049880295228687855696994256445000105441634400101420815978396489308196556313
  ( 134 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=19627040332408708604436682113596563
 r2=748968841027261409761188316700947313844944317053127062144103065053216914230007485726769694669513251
Version: 
Total time: 9.99 hours.
Scaled time: 23.80 units (timescale=2.383).
Factorization parameters were as follows:
n: 14700041650559466010672832813381002063469358855134283947591049880295228687855696994256445000105441634400101420815978396489308196556313
m: 10000000000000000000000000000000
deg: 5
c5: 13
c0: 275
skew: 1.84
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 2100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 7814054
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 480721 x 480969
Total sieving time: 9.06 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 0.51 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 9.99 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10154+119

c137

name 名前Robert Backstrom
date 日付April 9, 2009 15:21:38 UTC 2009 年 4 月 10 日 (金) 0 時 21 分 38 秒 (日本時間)
composite number 合成数
17174905547133833686201829165853188941164294376020559094629779979976178551279987548468323356118519181871603715021418206048713273953815661<137>
prime factors 素因数
93050385464681516500046281914738043499239<41>
184576404077904571046705571397602099672425078097604346576358124523939748687222923404111884169099<96>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 17174905547133833686201829165853188941164294376020559094629779979976178551279987548468323356118519181871603715021418206048713273953815661 (137 digits)
Using B1=1262000, B2=1426326730, polynomial Dickson(6), sigma=2614469203
Step 1 took 17378ms
Step 2 took 6412ms
********** Factor found in step 2: 93050385464681516500046281914738043499239
Found probable prime factor of 41 digits: 93050385464681516500046281914738043499239
Probable prime cofactor 184576404077904571046705571397602099672425078097604346576358124523939748687222923404111884169099 has 96 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10160+119

c158

name 名前Robert Backstrom
date 日付April 11, 2009 03:52:59 UTC 2009 年 4 月 11 日 (土) 12 時 52 分 59 秒 (日本時間)
composite number 合成数
17345475165949497981920677807798792488074985823409720137429534007138330164448447246405817405517195370092398011941692518096000533706928183061476366790086393809<158>
prime factors 素因数
1984602862159222328197712995842323139233<40>
8995729372655953524904434979327475766365640628552961<52>
971574720881561621643707317580907592723358162775265761540357497393<66>
factorization results 素因数分解の結果
Number: n
N=17345475165949497981920677807798792488074985823409720137429534007138330164448447246405817405517195370092398011941692518096000533706928183061476366790086393809
  ( 158 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=1984602862159222328197712995842323139233 (pp40)
 r2=8995729372655953524904434979327475766365640628552961 (pp52)
 r3=971574720881561621643707317580907592723358162775265761540357497393 (pp66)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 20.60 hours.
Scaled time: 54.79 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_5_7_159_9
n: 17345475165949497981920677807798792488074985823409720137429534007138330164448447246405817405517195370092398011941692518096000533706928183061476366790086393809
m: 100000000000000000000000000000000
deg: 5
c5: 52
c0: 11
skew: 0.73
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved rational special-q in [1750000, 2850001)
Primes: RFBsize:250150, AFBsize:249882, largePrimes:13781805 encountered
Relations: rels:13310814, finalFF:645052
Max relations in full relation-set: 28
Initial matrix: 500100 x 645052 with sparse part having weight 68070186.
Pruned matrix : 420473 x 423037 with weight 45366021.
Total sieving time: 18.84 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 1.15 hours.
Total square root time: 0.31 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,56,56,2.4,2.4,100000
total time: 20.60 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10161+119

c154

name 名前Robert Backstrom
date 日付April 11, 2009 18:58:35 UTC 2009 年 4 月 12 日 (日) 3 時 58 分 35 秒 (日本時間)
composite number 合成数
7409214400811851559358864890571681062392662479437488681089206894365760226084084298889686619055539375683607782674712805634350769647035555578866083939648227<154>
prime factors 素因数
18928489948339749847018632028593340878665991563<47>
391431879723808945338088267301885408398292615483568378380918267204298704333073286676905854436479613341848329<108>
factorization results 素因数分解の結果
Number: n
N=7409214400811851559358864890571681062392662479437488681089206894365760226084084298889686619055539375683607782674712805634350769647035555578866083939648227
  ( 154 digits)
SNFS difficulty: 163 digits.
Divisors found:

Sun Apr 12 04:53:40 2009  prp47 factor: 18928489948339749847018632028593340878665991563
Sun Apr 12 04:53:40 2009  prp108 factor: 391431879723808945338088267301885408398292615483568378380918267204298704333073286676905854436479613341848329
Sun Apr 12 04:53:40 2009  elapsed time 00:55:48 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 22.58 hours.
Scaled time: 59.57 units (timescale=2.638).
Factorization parameters were as follows:
name: KA_5_7_160_9
n: 7409214400811851559358864890571681062392662479437488681089206894365760226084084298889686619055539375683607782674712805634350769647035555578866083939648227
m: 200000000000000000000000000000000
deg: 5
c5: 65
c0: 44
skew: 0.92
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1850000, 3250123)
Primes: RFBsize:263397, AFBsize:263373, largePrimes:13742240 encountered
Relations: rels:12753845, finalFF:533425
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1099106 hash collisions in 13613282 relations
Msieve: matrix is 678552 x 678800 (183.0 MB)

Total sieving time: 22.26 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3700000,3700000,28,28,56,56,2.4,2.4,100000
total time: 22.58 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10162+119

c161

name 名前Robert Backstrom
date 日付April 12, 2009 01:53:22 UTC 2009 年 4 月 12 日 (日) 10 時 53 分 22 秒 (日本時間)
composite number 合成数
35886818495514147688060731538992408557625948930296756383712905452035886818495514147688060731538992408557625948930296756383712905452035886818495514147688060731539<161>
prime factors 素因数
321519970820085608181037744328588516697743<42>
111616141305248804803400290837173564328599235003578090047986807312818902456903064735501933589562639357218054538297354173<120>
factorization results 素因数分解の結果
Number: n
N=35886818495514147688060731538992408557625948930296756383712905452035886818495514147688060731538992408557625948930296756383712905452035886818495514147688060731539
  ( 161 digits)
SNFS difficulty: 164 digits.
Divisors found:

Sun Apr 12 06:15:36 2009  prp42 factor: 321519970820085608181037744328588516697743
Sun Apr 12 06:15:36 2009  prp120 factor: 111616141305248804803400290837173564328599235003578090047986807312818902456903064735501933589562639357218054538297354173
Sun Apr 12 06:15:36 2009  elapsed time 00:52:55 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 30.70 hours.
Scaled time: 81.32 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_5_7_161_9
n: 35886818495514147688060731538992408557625948930296756383712905452035886818495514147688060731538992408557625948930296756383712905452035886818495514147688060731539
m: 200000000000000000000000000000000
deg: 5
c5: 325
c0: 22
skew: 0.58
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [1900000, 3800113)
Primes: RFBsize:269987, AFBsize:269688, largePrimes:8808225 encountered
Relations: rels:8644280, finalFF:545089
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 881198 hash collisions in 9436045 relations
Msieve: matrix is 699430 x 699678 (186.3 MB)

Total sieving time: 30.47 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 30.70 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10163+119

c139

name 名前Robert Backstrom
date 日付April 12, 2009 03:45:38 UTC 2009 年 4 月 12 日 (日) 12 時 45 分 38 秒 (日本時間)
composite number 合成数
7727898020874389273633226675969318827671185863144042247840595857996178908012693244379155722125782899946146998056281826623324143363217546073<139>
prime factors 素因数
285499687981964450229006620431228817065494664829635261<54>
27067973613206102904512248875476135325093088787990227833361756111499707732578188978893<86>
factorization results 素因数分解の結果
Number: n
N=7727898020874389273633226675969318827671185863144042247840595857996178908012693244379155722125782899946146998056281826623324143363217546073
  ( 139 digits)
SNFS difficulty: 166 digits.
Divisors found:

Sun Apr 12 13:31:34 2009  prp54 factor: 285499687981964450229006620431228817065494664829635261
Sun Apr 12 13:31:34 2009  prp86 factor: 27067973613206102904512248875476135325093088787990227833361756111499707732578188978893
Sun Apr 12 13:31:34 2009  elapsed time 01:05:41 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 30.87 hours.
Scaled time: 82.12 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_5_7_162_9
n: 7727898020874389273633226675969318827671185863144042247840595857996178908012693244379155722125782899946146998056281826623324143363217546073
m: 1000000000000000000000000000000000
deg: 5
c5: 13
c0: 275
skew: 1.84
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2050000, 3861203)
Primes: RFBsize:289774, AFBsize:290078, largePrimes:14963521 encountered
Relations: rels:14071940, finalFF:586784
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1356936 hash collisions in 15148444 relations
Msieve: matrix is 754434 x 754682 (201.5 MB)

Total sieving time: 30.49 hours.
Total relation processing time: 0.39 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4100000,4100000,28,28,56,56,2.4,2.4,100000
total time: 30.87 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10165+119

c120

name 名前Robert Backstrom
date 日付April 12, 2009 09:09:43 UTC 2009 年 4 月 12 日 (日) 18 時 9 分 43 秒 (日本時間)
composite number 合成数
278457363931370693256810083723809311549125447635796682650235234084816134689205258661992118672738189311298709411653514577<120>
prime factors 素因数
947603373792569765729573937197287389869<39>
293854339940673288307735977122722469845978112409126167654289550189645063181598133<81>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 278457363931370693256810083723809311549125447635796682650235234084816134689205258661992118672738189311298709411653514577 (120 digits)
Using B1=2136000, B2=2854078510, polynomial Dickson(6), sigma=2890840773
Step 1 took 23758ms
********** Factor found in step 1: 947603373792569765729573937197287389869
Found probable prime factor of 39 digits: 947603373792569765729573937197287389869
Probable prime cofactor 293854339940673288307735977122722469845978112409126167654289550189645063181598133 has 81 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)
786Andreas TeteApril 11, 2009 23:26:18 UTC 2009 年 4 月 12 日 (日) 8 時 26 分 18 秒 (日本時間)

52×10166+119

c109

name 名前Robert Backstrom
date 日付April 10, 2009 01:15:37 UTC 2009 年 4 月 10 日 (金) 10 時 15 分 37 秒 (日本時間)
composite number 合成数
5996856975154919058724890468413883408998447325094790249647861377749782830297948367090644019881202485487017193<109>
prime factors 素因数
42691128655357150982468169102793571554807074883<47>
140470799532314444373497792586935413113578875626021083297673571<63>
factorization results 素因数分解の結果
Number: n
N=5996856975154919058724890468413883408998447325094790249647861377749782830297948367090644019881202485487017193
  ( 109 digits)
Divisors found:
 r1=42691128655357150982468169102793571554807074883 (pp47)
 r2=140470799532314444373497792586935413113578875626021083297673571 (pp63)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 13.47 hours.
Scaled time: 35.25 units (timescale=2.616).
Factorization parameters were as follows:
name: KA_5_7_165_9
n:5996856975154919058724890468413883408998447325094790249647861377749782830297948367090644019881202485487017193
Y0: -1067795297988797501616
Y1:  164264666753
c0:  8530558915607398247347346489
c1:  242316730277730117495673
c2: -1667914485931205175
c3: -70391702544601
c4: -4927106
c5:  4320
skew: 77192.47
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [1600000, 2900001)
Primes: RFBsize:230209, AFBsize:230575, largePrimes:16977985 encountered
Relations: rels:15492064, finalFF:690402
Max relations in full relation-set: 28
Initial matrix: 460861 x 690402 with sparse part having weight 64012452.
Pruned matrix : 306082 x 308450 with weight 37318507.
Total sieving time: 11.29 hours.
Total relation processing time: 0.51 hours.
Matrix solve time: 0.52 hours.
Total square root time: 1.16 hours, sqrts: 5.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,28,28,56,56,2.6,2.6,100000
total time: 13.47 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10168+119

c142

name 名前Robert Backstrom
date 日付June 9, 2009 14:04:33 UTC 2009 年 6 月 9 日 (火) 23 時 4 分 33 秒 (日本時間)
composite number 合成数
2472191929363311566113899520147805286457413223560785065597047238434828374391621498727947661965678444475466010146628383966893721000200248317279<142>
prime factors 素因数
22052280975865092692525800150982807244061830250598730578589972079<65>
112105950947613006602391329605195305461345950480308802909553359992427651958801<78>
factorization results 素因数分解の結果
Number: n
N=2472191929363311566113899520147805286457413223560785065597047238434828374391621498727947661965678444475466010146628383966893721000200248317279
  ( 142 digits)
SNFS difficulty: 171 digits.
Divisors found:

Tue Jun 09 23:43:23 2009  prp65 factor: 22052280975865092692525800150982807244061830250598730578589972079
Tue Jun 09 23:43:23 2009  prp78 factor: 112105950947613006602391329605195305461345950480308802909553359992427651958801
Tue Jun 09 23:43:23 2009  elapsed time 01:16:52 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 47.54 hours.
Scaled time: 125.47 units (timescale=2.639).
Factorization parameters were as follows:
name: KA_5_7_167_9
n: 2472191929363311566113899520147805286457413223560785065597047238434828374391621498727947661965678444475466010146628383966893721000200248317279
m: 10000000000000000000000000000000000
deg: 5
c5: 13
c0: 275
skew: 1.84
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2500000, 5174293)
Primes: RFBsize:348513, AFBsize:348622, largePrimes:16908539 encountered
Relations: rels:16337061, finalFF:749922
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1847517 hash collisions in 18248277 relations
Msieve: matrix is 844859 x 845107 (224.0 MB)

Total sieving time: 47.00 hours.
Total relation processing time: 0.54 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,56,56,2.4,2.4,100000
total time: 47.54 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10169+119

c134

name 名前Jo Yeong Uk
date 日付July 19, 2009 10:21:38 UTC 2009 年 7 月 19 日 (日) 19 時 21 分 38 秒 (日本時間)
composite number 合成数
26830252932946670433282633304656708361984848210275832396303656863160017951525807757982726879368734099148688994835598198398948373188659<134>
prime factors 素因数
8664505744431290401102450208330703623<37>
3096570505500625044991977990181851031592172948921210009806769010994433962313317765726822407471733<97>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 26830252932946670433282633304656708361984848210275832396303656863160017951525807757982726879368734099148688994835598198398948373188659 (134 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3033120199
Step 1 took 4243ms
Step 2 took 4227ms
********** Factor found in step 2: 8664505744431290401102450208330703623
Found probable prime factor of 37 digits: 8664505744431290401102450208330703623
Probable prime cofactor 3096570505500625044991977990181851031592172948921210009806769010994433962313317765726822407471733 has 97 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10171+119

c140

name 名前Sinkiti Sibata
date 日付February 28, 2010 04:18:53 UTC 2010 年 2 月 28 日 (日) 13 時 18 分 53 秒 (日本時間)
composite number 合成数
26232826532340174616396030782536403742024779171894580240116176618430395544578653223824530693565262148221344307081659139278883139294194258399<140>
prime factors 素因数
1384043175592590791779988490628039252546224441313<49>
18953763144786541147617457620635507938370840235018892429764096556061105082071258607729791423<92>
factorization results 素因数分解の結果
Number: 57779_171
N=26232826532340174616396030782536403742024779171894580240116176618430395544578653223824530693565262148221344307081659139278883139294194258399
  ( 140 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=1384043175592590791779988490628039252546224441313 (pp49)
 r2=18953763144786541147617457620635507938370840235018892429764096556061105082071258607729791423 (pp92)
Version: Msieve-1.40
Total time: 75.57 hours.
Scaled time: 198.52 units (timescale=2.627).
Factorization parameters were as follows:
name: 57779_171
n: 26232826532340174616396030782536403742024779171894580240116176618430395544578653223824530693565262148221344307081659139278883139294194258399
m: 10000000000000000000000000000000000
deg: 5
c5: 520
c0: 11
skew: 0.46
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 5550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 954817 x 955065
Total sieving time: 73.23 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.92 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 75.57 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiAugust 12, 2009 05:24:54 UTC 2009 年 8 月 12 日 (水) 14 時 24 分 54 秒 (日本時間)

52×10172+119

c107

name 名前Andreas Tete
date 日付April 9, 2009 16:14:34 UTC 2009 年 4 月 10 日 (金) 1 時 14 分 34 秒 (日本時間)
composite number 合成数
97450780107039141260457072613462534480633327041513829548037360610763669539962170088778288463915365246494973<107>
prime factors 素因数
118145920262199525963524190015546715838352113676563<51>
824834068673450927934822305182677949265824343092447793071<57>
factorization results 素因数分解の結果
Thu Apr 09 17:24:45 2009  Msieve v. 1.41
Thu Apr 09 17:24:45 2009  random seeds: ae9280b0 10196da0
Thu Apr 09 17:24:45 2009  factoring 97450780107039141260457072613462534480633327041513829548037360610763669539962170088778288463915365246494973 (107 digits)
Thu Apr 09 17:24:47 2009  searching for 15-digit factors
Thu Apr 09 17:24:49 2009  commencing number field sieve (107-digit input)
Thu Apr 09 17:24:49 2009  R0: -583560684231641996834
Thu Apr 09 17:24:49 2009  R1:  78488406179
Thu Apr 09 17:24:49 2009  A0: -27278358361861303319170275
Thu Apr 09 17:24:50 2009  A1:  3917602922717724100809
Thu Apr 09 17:24:50 2009  A2:  311529443604860231
Thu Apr 09 17:24:50 2009  A3: -1660678779952
Thu Apr 09 17:24:50 2009  A4: -179866821
Thu Apr 09 17:24:50 2009  A5:  1440
Thu Apr 09 17:24:50 2009  skew 39860.96, size 3.272186e-010, alpha -4.805594, combined = 1.441065e-009
Thu Apr 09 17:24:50 2009  
Thu Apr 09 17:24:50 2009  commencing relation filtering
Thu Apr 09 17:24:50 2009  commencing duplicate removal, pass 1
Thu Apr 09 17:26:03 2009  found 423914 hash collisions in 5084040 relations
Thu Apr 09 17:26:30 2009  added 34695 free relations
Thu Apr 09 17:26:30 2009  commencing duplicate removal, pass 2
Thu Apr 09 17:26:42 2009  found 407648 duplicates and 4711086 unique relations
Thu Apr 09 17:26:42 2009  memory use: 41.3 MB
Thu Apr 09 17:26:42 2009  reading rational ideals above 2949120
Thu Apr 09 17:26:42 2009  reading algebraic ideals above 2949120
Thu Apr 09 17:26:42 2009  commencing singleton removal, pass 1
Thu Apr 09 17:27:46 2009  relations with 0 large ideals: 116858
Thu Apr 09 17:27:46 2009  relations with 1 large ideals: 738043
Thu Apr 09 17:27:46 2009  relations with 2 large ideals: 1692634
Thu Apr 09 17:27:46 2009  relations with 3 large ideals: 1613036
Thu Apr 09 17:27:46 2009  relations with 4 large ideals: 515175
Thu Apr 09 17:27:46 2009  relations with 5 large ideals: 2472
Thu Apr 09 17:27:46 2009  relations with 6 large ideals: 32868
Thu Apr 09 17:27:46 2009  relations with 7+ large ideals: 0
Thu Apr 09 17:27:46 2009  4711086 relations and about 4612394 large ideals
Thu Apr 09 17:27:46 2009  commencing singleton removal, pass 2
Thu Apr 09 17:28:51 2009  found 2070067 singletons
Thu Apr 09 17:28:51 2009  current dataset: 2641019 relations and about 2113480 large ideals
Thu Apr 09 17:28:51 2009  commencing singleton removal, pass 3
Thu Apr 09 17:29:29 2009  found 489447 singletons
Thu Apr 09 17:29:29 2009  current dataset: 2151572 relations and about 1588891 large ideals
Thu Apr 09 17:29:29 2009  commencing singleton removal, final pass
Thu Apr 09 17:30:04 2009  memory use: 33.4 MB
Thu Apr 09 17:30:04 2009  commencing in-memory singleton removal
Thu Apr 09 17:30:04 2009  begin with 2151572 relations and 1635870 unique ideals
Thu Apr 09 17:30:08 2009  reduce to 1811566 relations and 1286231 ideals in 14 passes
Thu Apr 09 17:30:08 2009  max relations containing the same ideal: 42
Thu Apr 09 17:30:08 2009  reading rational ideals above 100000
Thu Apr 09 17:30:08 2009  reading algebraic ideals above 100000
Thu Apr 09 17:30:08 2009  commencing singleton removal, final pass
Thu Apr 09 17:30:48 2009  keeping 1637389 ideals with weight <= 25, new excess is 128075
Thu Apr 09 17:30:52 2009  memory use: 47.7 MB
Thu Apr 09 17:30:52 2009  commencing in-memory singleton removal
Thu Apr 09 17:30:53 2009  begin with 1820656 relations and 1637389 unique ideals
Thu Apr 09 17:30:56 2009  reduce to 1801170 relations and 1573710 ideals in 11 passes
Thu Apr 09 17:30:56 2009  max relations containing the same ideal: 25
Thu Apr 09 17:30:58 2009  removing 290398 relations and 250951 ideals in 39447 cliques
Thu Apr 09 17:30:58 2009  commencing in-memory singleton removal
Thu Apr 09 17:30:58 2009  begin with 1510772 relations and 1573710 unique ideals
Thu Apr 09 17:31:01 2009  reduce to 1480022 relations and 1291204 ideals in 9 passes
Thu Apr 09 17:31:01 2009  max relations containing the same ideal: 25
Thu Apr 09 17:31:02 2009  removing 217191 relations and 177744 ideals in 39447 cliques
Thu Apr 09 17:31:02 2009  commencing in-memory singleton removal
Thu Apr 09 17:31:02 2009  begin with 1262831 relations and 1291204 unique ideals
Thu Apr 09 17:31:04 2009  reduce to 1240337 relations and 1090388 ideals in 8 passes
Thu Apr 09 17:31:04 2009  max relations containing the same ideal: 25
Thu Apr 09 17:31:05 2009  relations with 0 large ideals: 5419
Thu Apr 09 17:31:05 2009  relations with 1 large ideals: 46967
Thu Apr 09 17:31:05 2009  relations with 2 large ideals: 172417
Thu Apr 09 17:31:05 2009  relations with 3 large ideals: 329391
Thu Apr 09 17:31:05 2009  relations with 4 large ideals: 356668
Thu Apr 09 17:31:05 2009  relations with 5 large ideals: 223079
Thu Apr 09 17:31:05 2009  relations with 6 large ideals: 85257
Thu Apr 09 17:31:05 2009  relations with 7+ large ideals: 21139
Thu Apr 09 17:31:05 2009  commencing 2-way merge
Thu Apr 09 17:31:07 2009  reduce to 751009 relation sets and 601060 unique ideals
Thu Apr 09 17:31:07 2009  commencing full merge
Thu Apr 09 17:31:23 2009  memory use: 50.7 MB
Thu Apr 09 17:31:24 2009  found 355008 cycles, need 335260
Thu Apr 09 17:31:24 2009  weight of 335260 cycles is about 23712374 (70.73/cycle)
Thu Apr 09 17:31:24 2009  distribution of cycle lengths:
Thu Apr 09 17:31:24 2009  1 relations: 32881
Thu Apr 09 17:31:24 2009  2 relations: 33611
Thu Apr 09 17:31:24 2009  3 relations: 33970
Thu Apr 09 17:31:24 2009  4 relations: 31832
Thu Apr 09 17:31:24 2009  5 relations: 30348
Thu Apr 09 17:31:24 2009  6 relations: 26986
Thu Apr 09 17:31:24 2009  7 relations: 24661
Thu Apr 09 17:31:24 2009  8 relations: 21895
Thu Apr 09 17:31:24 2009  9 relations: 19028
Thu Apr 09 17:31:24 2009  10+ relations: 80048
Thu Apr 09 17:31:24 2009  heaviest cycle: 19 relations
Thu Apr 09 17:31:24 2009  commencing cycle optimization
Thu Apr 09 17:31:25 2009  start with 2173536 relations
Thu Apr 09 17:31:35 2009  pruned 66094 relations
Thu Apr 09 17:31:35 2009  memory use: 55.2 MB
Thu Apr 09 17:31:35 2009  distribution of cycle lengths:
Thu Apr 09 17:31:35 2009  1 relations: 32881
Thu Apr 09 17:31:35 2009  2 relations: 34444
Thu Apr 09 17:31:35 2009  3 relations: 35444
Thu Apr 09 17:31:35 2009  4 relations: 32852
Thu Apr 09 17:31:35 2009  5 relations: 31506
Thu Apr 09 17:31:35 2009  6 relations: 27645
Thu Apr 09 17:31:35 2009  7 relations: 25198
Thu Apr 09 17:31:35 2009  8 relations: 22193
Thu Apr 09 17:31:35 2009  9 relations: 19286
Thu Apr 09 17:31:35 2009  10+ relations: 73811
Thu Apr 09 17:31:35 2009  heaviest cycle: 19 relations
Thu Apr 09 17:31:36 2009  RelProcTime: 305
Thu Apr 09 17:31:36 2009  
Thu Apr 09 17:31:36 2009  commencing linear algebra
Thu Apr 09 17:31:36 2009  read 335260 cycles
Thu Apr 09 17:31:37 2009  cycles contain 1123030 unique relations
Thu Apr 09 17:31:54 2009  read 1123030 relations
Thu Apr 09 17:31:57 2009  using 20 quadratic characters above 87500574
Thu Apr 09 17:32:07 2009  building initial matrix
Thu Apr 09 17:32:32 2009  memory use: 125.5 MB
Thu Apr 09 17:32:33 2009  read 335260 cycles
Thu Apr 09 17:32:34 2009  matrix is 335062 x 335260 (94.9 MB) with weight 31928740 (95.24/col)
Thu Apr 09 17:32:34 2009  sparse part has weight 22524397 (67.18/col)
Thu Apr 09 17:32:41 2009  filtering completed in 2 passes
Thu Apr 09 17:32:41 2009  matrix is 333741 x 333937 (94.7 MB) with weight 31851832 (95.38/col)
Thu Apr 09 17:32:41 2009  sparse part has weight 22487289 (67.34/col)
Thu Apr 09 17:32:42 2009  read 333937 cycles
Thu Apr 09 17:32:43 2009  matrix is 333741 x 333937 (94.7 MB) with weight 31851832 (95.38/col)
Thu Apr 09 17:32:43 2009  sparse part has weight 22487289 (67.34/col)
Thu Apr 09 17:32:43 2009  saving the first 48 matrix rows for later
Thu Apr 09 17:32:44 2009  matrix is 333693 x 333937 (91.4 MB) with weight 25249537 (75.61/col)
Thu Apr 09 17:32:44 2009  sparse part has weight 21955093 (65.75/col)
Thu Apr 09 17:32:44 2009  matrix includes 64 packed rows
Thu Apr 09 17:32:44 2009  using block size 65536 for processor cache size 3072 kB
Thu Apr 09 17:32:49 2009  commencing Lanczos iteration
Thu Apr 09 17:32:49 2009  memory use: 88.4 MB
Thu Apr 09 17:49:15 2009  lanczos halted after 5279 iterations (dim = 333693)
Thu Apr 09 17:49:16 2009  recovered 33 nontrivial dependencies
Thu Apr 09 17:49:16 2009  BLanczosTime: 1060
Thu Apr 09 17:49:16 2009  
Thu Apr 09 17:49:16 2009  commencing square root phase
Thu Apr 09 17:49:16 2009  reading relations for dependency 1
Thu Apr 09 17:49:17 2009  read 166851 cycles
Thu Apr 09 17:49:17 2009  cycles contain 696453 unique relations
Thu Apr 09 17:49:26 2009  read 696453 relations
Thu Apr 09 17:49:29 2009  multiplying 561498 relations
Thu Apr 09 17:50:54 2009  multiply complete, coefficients have about 21.70 million bits
Thu Apr 09 17:50:55 2009  initial square root is modulo 1709443
Thu Apr 09 17:52:58 2009  reading relations for dependency 2
Thu Apr 09 17:52:58 2009  read 167207 cycles
Thu Apr 09 17:52:59 2009  cycles contain 697067 unique relations
Thu Apr 09 17:53:07 2009  read 697067 relations
Thu Apr 09 17:53:11 2009  multiplying 561526 relations
Thu Apr 09 17:54:35 2009  multiply complete, coefficients have about 21.70 million bits
Thu Apr 09 17:54:36 2009  initial square root is modulo 1712237
Thu Apr 09 17:56:39 2009  sqrtTime: 443
Thu Apr 09 17:56:39 2009  prp51 factor: 118145920262199525963524190015546715838352113676563
Thu Apr 09 17:56:39 2009  prp57 factor: 824834068673450927934822305182677949265824343092447793071
Thu Apr 09 17:56:39 2009  elapsed time 00:31:54
total time for Polysearch + Sieving + factorization ~ 10 hours
software ソフトウェア
Msieve v1.41 / GGNFS / Msieve
execution environment 実行環境
Intel Core 2 Duo T8100
Windows Vista Home Premium 32 bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10175+119

c174

name 名前Ignacio Santos
date 日付April 18, 2009 13:28:18 UTC 2009 年 4 月 18 日 (土) 22 時 28 分 18 秒 (日本時間)
composite number 合成数
979284369114877589453860640301318267419962335216572504708097928436911487758945386064030131826741996233521657250470809792843691148775894538606403013182674199623352165725047081<174>
prime factors 素因数
221396733866059271753457736994463053326306135043477879714218658472367433821816422859<84>
4423210550645817710188763098309667499105730033402825302895493919405103994634059074107437659<91>
factorization results 素因数分解の結果
Number: 57779_175
N=979284369114877589453860640301318267419962335216572504708097928436911487758945386064030131826741996233521657250470809792843691148775894538606403013182674199623352165725047081
  ( 174 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=221396733866059271753457736994463053326306135043477879714218658472367433821816422859 (pp84)
 r2=4423210550645817710188763098309667499105730033402825302895493919405103994634059074107437659 (pp91)
Version: Msieve-1.39
Total time: 59.74 hours.
Scaled time: 103.90 units (timescale=1.739).
Factorization parameters were as follows:
n: 979284369114877589453860640301318267419962335216572504708097928436911487758945386064030131826741996233521657250470809792843691148775894538606403013182674199623352165725047081
m: 100000000000000000000000000000000000
deg: 5
c5: 52
c0: 11
skew: 0.73
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3100000, 6000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1140797 x 1141045
Total sieving time: 59.74 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 59.74 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10176+119

c156

name 名前Ignacio Santos
date 日付May 19, 2011 16:29:39 UTC 2011 年 5 月 20 日 (金) 1 時 29 分 39 秒 (日本時間)
composite number 合成数
454259558560177617779846921361715173579765664626557554784539730910269919284694065785462429495021909268968827720489447274128826216236820811168122913020946479<156>
prime factors 素因数
13817864090562759775463260897296749<35>
32874802906074682710099327376859541591327599127860507098654769921357006793231766047838923169451077279541075207899454597771<122>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1630770380
Step 1 took 26162ms
Step 2 took 14336ms
********** Factor found in step 2: 13817864090562759775463260897296749
Found probable prime factor of 35 digits: 13817864090562759775463260897296749
Probable prime cofactor 32874802906074682710099327376859541591327599127860507098654769921357006793231766047838923169451077279541075207899454597771 has 122 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 KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10179+119

c162

name 名前Ben Meekins
date 日付January 5, 2014 04:24:10 UTC 2014 年 1 月 5 日 (日) 13 時 24 分 10 秒 (日本時間)
composite number 合成数
319989821539102344714749708461259940774514756502991917132685772874732251253877299877418891793014437960375328952735671469760463943052673477477055477004659082842237<162>
prime factors 素因数
806137474728691800620384616292701058135493680401339191<54>
396942000056250906842104481434267090943271909645357894300384306698448318468745337145764114390304351458556907<108>
factorization results 素因数分解の結果
Number: 57779_179
N = 319989821539102344714749708461259940774514756502991917132685772874732251253877299877418891793014437960375328952735671469760463943052673477477055477004659082842237 (162 digits)
SNFS difficulty: 182 digits.
Divisors found:
r1=806137474728691800620384616292701058135493680401339191 (pp54)
r2=396942000056250906842104481434267090943271909645357894300384306698448318468745337145764114390304351458556907 (pp108)
Version: Msieve v. 1.52 (SVN 945M)
Total time: 63.29 hours.
Factorization parameters were as follows:
n: 319989821539102344714749708461259940774514756502991917132685772874732251253877299877418891793014437960375328952735671469760463943052673477477055477004659082842237
m: 1000000000000000000000000000000000000
deg: 5
c5: 26
c0: 55
skew: 1.16
# Murphy_E = 8.689e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 18537482
Relations: 2426936 relations
Pruned matrix : 1465077 x 1465303
Polynomial selection time: 0.00 hours.
Total sieving time: 58.45 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.26 hours.
time per square root: 1.36 hours.
Prototype def-par.txt line would be: snfs,182,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,400000
total time: 63.29 hours.
x86 Family 16 Model 4 Stepping 3, AuthenticAMD
Windows-XP-5.1.2600-SP3
processors: 4, speed: 3.20GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 19, 2011 17:57:31 UTC 2011 年 5 月 20 日 (金) 2 時 57 分 31 秒 (日本時間)
403e6110Ignacio SantosMay 19, 2011 17:57:31 UTC 2011 年 5 月 20 日 (金) 2 時 57 分 31 秒 (日本時間)
4511e61482 / 426132Ignacio SantosMay 19, 2011 17:57:31 UTC 2011 年 5 月 20 日 (金) 2 時 57 分 31 秒 (日本時間)
600Rich DickersonMay 29, 2012 00:54:08 UTC 2012 年 5 月 29 日 (火) 9 時 54 分 8 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:05:35 UTC 2013 年 11 月 9 日 (土) 2 時 5 分 35 秒 (日本時間)
5043e650 / 7214Rich DickersonAugust 10, 2012 04:24:24 UTC 2012 年 8 月 10 日 (金) 13 時 24 分 24 秒 (日本時間)

52×10180+119

c180

name 名前Ignacio Santos
date 日付April 23, 2009 19:14:37 UTC 2009 年 4 月 24 日 (金) 4 時 14 分 37 秒 (日本時間)
composite number 合成数
825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825397<180>
prime factors 素因数
85953570641100435302364859126378100802894940416504268380526330442075309405460436217<83>
9602821840215038595051714729650614572066911996666266197149048428837644236481298696881375472096541<97>
factorization results 素因数分解の結果
Number: 57779_180
N=825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825397
  ( 180 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=85953570641100435302364859126378100802894940416504268380526330442075309405460436217 (pp83)
 r2=9602821840215038595051714729650614572066911996666266197149048428837644236481298696881375472096541 (pp97)
Version: Msieve-1.39
Total time: 110.43 hours.
Scaled time: 192.03 units (timescale=1.739).
Factorization parameters were as follows:
n: 825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825397
m: 1000000000000000000000000000000000000
deg: 5
c5: 52
c0: 11
skew: 0.73
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3750000, 5550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1404538 x 1404784
Total sieving time: 110.43 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 110.43 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10183+119

c122

name 名前Ignacio Santos
date 日付April 20, 2009 05:50:59 UTC 2009 年 4 月 20 日 (月) 14 時 50 分 59 秒 (日本時間)
composite number 合成数
40600451277665603438462039829671810932492997712468478849840455596499272861676146916196939261839959572308339955745357337707<122>
prime factors 素因数
760709516823435322284803971154506765518059289320909<51>
53371819833679274984631391612038926591773108484753524753906129523475223<71>
factorization results 素因数分解の結果
Number: 57779_183
N=40600451277665603438462039829671810932492997712468478849840455596499272861676146916196939261839959572308339955745357337707
  ( 122 digits)
Divisors found:
 r1=760709516823435322284803971154506765518059289320909 (pp51)
 r2=53371819833679274984631391612038926591773108484753524753906129523475223 (pp71)
Version: Msieve-1.39
Total time: 51.53 hours.
Scaled time: 132.99 units (timescale=2.581).
Factorization parameters were as follows:
# Murphy_E = 2.262445e-10, selected by Jeff Gilchrist
n: 40600451277665603438462039829671810932492997712468478849840455596499272861676146916196939261839959572308339955745357337707
Y0: -293254863654452879987050
Y1: 12192311360713
c0: -63029949335627363746734079251
c1: -30365307533505781597878895
c2: -1310763885392580973715
c3: -1061241013495825
c4: -1142314074
c5: 18720
skew: 203548.67
type: gnfs
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [2900000, 5300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 818639 x 818887
Total sieving time: 51.53 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,121,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5800000,5800000,27,27,52,52,2.5,2.5,60000
total time: 51.53 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61330118Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)
1212Max DettweilerApril 7, 2009 17:30:39 UTC 2009 年 4 月 8 日 (水) 2 時 30 分 39 秒 (日本時間)
403e62506Max DettweilerApril 7, 2009 19:59:12 UTC 2009 年 4 月 8 日 (水) 4 時 59 分 12 秒 (日本時間)

52×10185+119

c173

name 名前Robert Backstrom
date 日付March 1, 2012 01:58:20 UTC 2012 年 3 月 1 日 (木) 10 時 58 分 20 秒 (日本時間)
composite number 合成数
14367949773352767504160287086418222293936920643890168065744923886876788743447106028433409545498395313701405890004372518368221760073621692004123445178844058155789490277053121<173>
prime factors 素因数
1094700579329323482106728665966591787710617253254442123579<58>
13125004265691902403494538072782099685092861862058429203158851643738081267982317343563819725598829370542692523957299<116>
factorization results 素因数分解の結果
Number: n
N=14367949773352767504160287086418222293936920643890168065744923886876788743447106028433409545498395313701405890004372518368221760073621692004123445178844058155789490277053121
  ( 173 digits)
SNFS difficulty: 186 digits.
Divisors found:

Thu Mar  1 12:54:51 2012  prp58 factor: 1094700579329323482106728665966591787710617253254442123579
Thu Mar  1 12:54:51 2012  prp116 factor: 13125004265691902403494538072782099685092861862058429203158851643738081267982317343563819725598829370542692523957299
Thu Mar  1 12:54:51 2012  elapsed time 02:59:52 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.659).
Factorization parameters were as follows:
name: KA_57779_185
n: 14367949773352767504160287086418222293936920643890168065744923886876788743447106028433409545498395313701405890004372518368221760073621692004123445178844058155789490277053121
m: 10000000000000000000000000000000000000
#  c173, diff: 186.72
skew: 0.73
deg: 5
c5: 52
c0: 11
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 7717207 hash collisions in 76733024 relations (73822996 unique)
Msieve: matrix is 1147418 x 1147666 (316.6 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,186,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 19, 2011 18:56:30 UTC 2011 年 5 月 20 日 (金) 3 時 56 分 30 秒 (日本時間)
403e6110 / 2126Ignacio SantosMay 19, 2011 18:56:30 UTC 2011 年 5 月 20 日 (金) 3 時 56 分 30 秒 (日本時間)
4511e632 / 4437Ignacio SantosMay 19, 2011 18:56:30 UTC 2011 年 5 月 20 日 (金) 3 時 56 分 30 秒 (日本時間)

52×10186+119

c180

name 名前Ignacio Santos
date 日付July 14, 2010 20:11:56 UTC 2010 年 7 月 15 日 (木) 5 時 11 分 56 秒 (日本時間)
composite number 合成数
850275022273526508950787929423837456979149768472564151329136016091651013839321534164957900022144758897404556751385617169590443615131971758507569810481709742171595539280637571530817<180>
prime factors 素因数
1716425302770739265757963591170662811029416159659747067418019548434103<70>
495375488173572244929186018809198155482937346999002461944403770600659782193168299108126772676930523942039613639<111>
factorization results 素因数分解の結果
Number: 7
N=850275022273526508950787929423837456979149768472564151329136016091651013839321534164957900022144758897404556751385617169590443615131971758507569810481709742171595539280637571530817
  ( 180 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=1716425302770739265757963591170662811029416159659747067418019548434103 (pp70)
 r2=495375488173572244929186018809198155482937346999002461944403770600659782193168299108126772676930523942039613639 (pp111)
Version: Msieve-1.40
Total time: 217.48 hours.
Scaled time: 378.19 units (timescale=1.739).
Factorization parameters were as follows:
n: 850275022273526508950787929423837456979149768472564151329136016091651013839321534164957900022144758897404556751385617169590443615131971758507569810481709742171595539280637571530817
m: 10000000000000000000000000000000000000
deg: 5
c5: 520
c0: 11
skew: 0.46
type: snfs
lss: 1
rlim: 9400000
alim: 9400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9400000/9400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4700000, 8100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1706431 x 1706657
Total sieving time: 212.10 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 4.41 hours.
Time per square root: 0.73 hours.
Prototype def-par.txt line would be:
snfs,187.000,5,0,0,0,0,0,0,0,0,9400000,9400000,28,28,54,54,2.5,2.5,100000
total time: 217.48 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJune 19, 2010 04:36:12 UTC 2010 年 6 月 19 日 (土) 13 時 36 分 12 秒 (日本時間)
4511e6187 / 3963Dmitry DomanovJune 19, 2010 06:20:33 UTC 2010 年 6 月 19 日 (土) 15 時 20 分 33 秒 (日本時間)

52×10187+119

c175

name 名前Ignacio Santos
date 日付May 19, 2011 19:53:52 UTC 2011 年 5 月 20 日 (金) 4 時 53 分 52 秒 (日本時間)
composite number 合成数
6680327917921064470952338226135813177165519879704950879436895192756660079126769081156168671790604501141644924019994404588787703961038954281261276127479384115549084286780412199<175>
prime factors 素因数
1824767457211570631862985305939127<34>
10446242100594102842148530539385555571768077<44>
composite cofactor 合成数の残り
350453310906396888589767735021720520358922067752771017588399992504440561489872205040583750418440981<99>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3171087648
Step 1 took 10156ms
Step 2 took 7035ms
********** Factor found in step 2: 1824767457211570631862985305939127
Found probable prime factor of 34 digits: 1824767457211570631862985305939127
Composite cofactor 3660920130682997644945294349595060632778278566834492668527532641688064805041432219702159236882672486969532479224568436144478705629400044363537 has 142 digits

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2441302492
Step 1 took 30389ms
Step 2 took 15991ms
********** Factor found in step 2: 10446242100594102842148530539385555571768077
Found probable prime factor of 44 digits: 10446242100594102842148530539385555571768077
software ソフトウェア
GMP-ECM 6.3

c99

name 名前Serge Batalov
date 日付May 21, 2011 05:35:22 UTC 2011 年 5 月 21 日 (土) 14 時 35 分 22 秒 (日本時間)
composite number 合成数
350453310906396888589767735021720520358922067752771017588399992504440561489872205040583750418440981<99>
prime factors 素因数
762652753919703260289828404252277733<36>
459518842756705961489942018812796401730751084677997578884249457<63>
factorization results 素因数分解の結果
Divisors found:
 r1=762652753919703260289828404252277733 (pp36)
 r2=459518842756705961489942018812796401730751084677997578884249457 (pp63)
Version: Msieve v. 1.49 SVN548 option -D density
Total time: 2.47 hours.
Scaled time: 5.92 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  350453310906396888589767735021720520358922067752771017588399992504440561489872205040583750418440981
skew:  10344913.28
Y0:  -1554818627283168872580359
Y1:   27630145934921
c0:   250663654753789470396382089792
c1:   81728809854166446927458
c2:  -9393387357784361
c3:  -1865337988
c4:   60
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [937500, 1497501)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 203266 x 203491
Total sieving time: 2.30 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,98,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,25,25,46,46,2.5,2.5,70000
total time: 2.47 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10188+119

c131

name 名前Andreas Tete
date 日付April 21, 2009 07:57:18 UTC 2009 年 4 月 21 日 (火) 16 時 57 分 18 秒 (日本時間)
composite number 合成数
11312926582629569735706825148931447422166875763212917695378460963807918703953528423373129743219702130852404196787051012831774445251<131>
prime factors 素因数
81794757600323035554827444059633541274214747<44>
138308699903585154803319669716002943598265094204006724265991671763585624304306433563833<87>
factorization results 素因数分解の結果
Mon Apr 20 19:08:11 2009  
Mon Apr 20 19:08:11 2009  
Mon Apr 20 19:08:11 2009  Msieve v. 1.41
Mon Apr 20 19:08:11 2009  random seeds: 87569ffc 473e86b3
Mon Apr 20 19:08:11 2009  factoring 11312926582629569735706825148931447422166875763212917695378460963807918703953528423373129743219702130852404196787051012831774445251 (131 digits)
Mon Apr 20 19:08:12 2009  searching for 15-digit factors
Mon Apr 20 19:08:14 2009  commencing number field sieve (131-digit input)
Mon Apr 20 19:08:14 2009  R0: -12083212830902574969747860
Mon Apr 20 19:08:14 2009  R1:  213108260669881
Mon Apr 20 19:08:14 2009  A0:  56090967640472498013392023696851
Mon Apr 20 19:08:14 2009  A1:  332754979081695566842805070
Mon Apr 20 19:08:14 2009  A2: -1465196442719012042647
Mon Apr 20 19:08:14 2009  A3: -25753535061241090
Mon Apr 20 19:08:14 2009  A4:  2934479696
Mon Apr 20 19:08:14 2009  A5:  43920
Mon Apr 20 19:08:14 2009  skew 392473.78, size 1.303298e-012, alpha -6.358696, combined = 6.937147e-011
Mon Apr 20 19:08:14 2009  
Mon Apr 20 19:08:14 2009  commencing relation filtering
Mon Apr 20 19:08:14 2009  commencing duplicate removal, pass 1
Mon Apr 20 19:10:10 2009  error -15 reading relation 9581126
Mon Apr 20 19:10:11 2009  error -15 reading relation 9725613
Mon Apr 20 19:11:18 2009  found 3444048 hash collisions in 15840366 relations
Mon Apr 20 19:11:59 2009  added 104414 free relations
Mon Apr 20 19:11:59 2009  commencing duplicate removal, pass 2
Mon Apr 20 19:13:09 2009  found 3625670 duplicates and 12319109 unique relations
Mon Apr 20 19:13:09 2009  memory use: 106.6 MB
Mon Apr 20 19:13:09 2009  reading rational ideals above 10420224
Mon Apr 20 19:13:09 2009  reading algebraic ideals above 10420224
Mon Apr 20 19:13:09 2009  commencing singleton removal, pass 1
Mon Apr 20 19:16:02 2009  relations with 0 large ideals: 374026
Mon Apr 20 19:16:02 2009  relations with 1 large ideals: 2578236
Mon Apr 20 19:16:02 2009  relations with 2 large ideals: 5243824
Mon Apr 20 19:16:02 2009  relations with 3 large ideals: 3361638
Mon Apr 20 19:16:02 2009  relations with 4 large ideals: 647320
Mon Apr 20 19:16:02 2009  relations with 5 large ideals: 15067
Mon Apr 20 19:16:02 2009  relations with 6 large ideals: 98994
Mon Apr 20 19:16:02 2009  relations with 7+ large ideals: 4
Mon Apr 20 19:16:02 2009  12319109 relations and about 11869560 large ideals
Mon Apr 20 19:16:02 2009  commencing singleton removal, pass 2
Mon Apr 20 19:18:33 2009  found 5868335 singletons
Mon Apr 20 19:18:33 2009  current dataset: 6450774 relations and about 4791520 large ideals
Mon Apr 20 19:18:33 2009  commencing singleton removal, pass 3
Mon Apr 20 19:20:20 2009  found 1098994 singletons
Mon Apr 20 19:20:20 2009  current dataset: 5351780 relations and about 3626493 large ideals
Mon Apr 20 19:20:20 2009  commencing singleton removal, pass 4
Mon Apr 20 19:21:59 2009  found 274520 singletons
Mon Apr 20 19:21:59 2009  current dataset: 5077260 relations and about 3346643 large ideals
Mon Apr 20 19:21:59 2009  commencing singleton removal, final pass
Mon Apr 20 19:23:46 2009  memory use: 74.7 MB
Mon Apr 20 19:23:46 2009  commencing in-memory singleton removal
Mon Apr 20 19:23:46 2009  begin with 5077260 relations and 3647012 unique ideals
Mon Apr 20 19:23:52 2009  reduce to 4263128 relations and 2811805 ideals in 14 passes
Mon Apr 20 19:23:52 2009  max relations containing the same ideal: 23
Mon Apr 20 19:23:53 2009  reading rational ideals above 720000
Mon Apr 20 19:23:53 2009  reading algebraic ideals above 720000
Mon Apr 20 19:23:53 2009  commencing singleton removal, final pass
Mon Apr 20 19:25:41 2009  keeping 4000705 ideals with weight <= 20, new excess is 343752
Mon Apr 20 19:25:46 2009  memory use: 128.7 MB
Mon Apr 20 19:25:46 2009  commencing in-memory singleton removal
Mon Apr 20 19:25:47 2009  begin with 4290130 relations and 4000705 unique ideals
Mon Apr 20 19:25:54 2009  reduce to 4190944 relations and 3768298 ideals in 12 passes
Mon Apr 20 19:25:54 2009  max relations containing the same ideal: 20
Mon Apr 20 19:25:57 2009  removing 149756 relations and 137809 ideals in 11947 cliques
Mon Apr 20 19:25:57 2009  commencing in-memory singleton removal
Mon Apr 20 19:25:58 2009  begin with 4041188 relations and 3768298 unique ideals
Mon Apr 20 19:26:02 2009  reduce to 4037824 relations and 3627111 ideals in 8 passes
Mon Apr 20 19:26:02 2009  max relations containing the same ideal: 20
Mon Apr 20 19:26:05 2009  removing 110736 relations and 98789 ideals in 11947 cliques
Mon Apr 20 19:26:05 2009  commencing in-memory singleton removal
Mon Apr 20 19:26:06 2009  begin with 3927088 relations and 3627111 unique ideals
Mon Apr 20 19:26:10 2009  reduce to 3925129 relations and 3526358 ideals in 7 passes
Mon Apr 20 19:26:10 2009  max relations containing the same ideal: 20
Mon Apr 20 19:26:11 2009  relations with 0 large ideals: 8781
Mon Apr 20 19:26:11 2009  relations with 1 large ideals: 84877
Mon Apr 20 19:26:11 2009  relations with 2 large ideals: 374180
Mon Apr 20 19:26:11 2009  relations with 3 large ideals: 893493
Mon Apr 20 19:26:11 2009  relations with 4 large ideals: 1203750
Mon Apr 20 19:26:11 2009  relations with 5 large ideals: 907674
Mon Apr 20 19:26:11 2009  relations with 6 large ideals: 366841
Mon Apr 20 19:26:11 2009  relations with 7+ large ideals: 85533
Mon Apr 20 19:26:11 2009  commencing 2-way merge
Mon Apr 20 19:26:15 2009  reduce to 2337038 relation sets and 1938267 unique ideals
Mon Apr 20 19:26:15 2009  commencing full merge
Mon Apr 20 19:26:54 2009  memory use: 175.7 MB
Mon Apr 20 19:26:55 2009  found 1180571 cycles, need 1128467
Mon Apr 20 19:26:55 2009  weight of 1128467 cycles is about 79026752 (70.03/cycle)
Mon Apr 20 19:26:55 2009  distribution of cycle lengths:
Mon Apr 20 19:26:55 2009  1 relations: 128978
Mon Apr 20 19:26:55 2009  2 relations: 137710
Mon Apr 20 19:26:55 2009  3 relations: 137141
Mon Apr 20 19:26:55 2009  4 relations: 123799
Mon Apr 20 19:26:55 2009  5 relations: 109162
Mon Apr 20 19:26:55 2009  6 relations: 93570
Mon Apr 20 19:26:55 2009  7 relations: 78142
Mon Apr 20 19:26:55 2009  8 relations: 66063
Mon Apr 20 19:26:55 2009  9 relations: 55092
Mon Apr 20 19:26:55 2009  10+ relations: 198810
Mon Apr 20 19:26:55 2009  heaviest cycle: 19 relations
Mon Apr 20 19:26:55 2009  commencing cycle optimization
Mon Apr 20 19:26:58 2009  start with 6454929 relations
Mon Apr 20 19:27:15 2009  pruned 170048 relations
Mon Apr 20 19:27:15 2009  memory use: 171.3 MB
Mon Apr 20 19:27:15 2009  distribution of cycle lengths:
Mon Apr 20 19:27:15 2009  1 relations: 128978
Mon Apr 20 19:27:15 2009  2 relations: 141126
Mon Apr 20 19:27:15 2009  3 relations: 142718
Mon Apr 20 19:27:15 2009  4 relations: 126930
Mon Apr 20 19:27:15 2009  5 relations: 112065
Mon Apr 20 19:27:15 2009  6 relations: 94751
Mon Apr 20 19:27:15 2009  7 relations: 78734
Mon Apr 20 19:27:15 2009  8 relations: 65542
Mon Apr 20 19:27:15 2009  9 relations: 54402
Mon Apr 20 19:27:15 2009  10+ relations: 183221
Mon Apr 20 19:27:15 2009  heaviest cycle: 19 relations
Mon Apr 20 19:27:17 2009  RelProcTime: 895
Mon Apr 20 19:27:17 2009  
Mon Apr 20 19:27:17 2009  commencing linear algebra
Mon Apr 20 19:27:17 2009  read 1128467 cycles
Mon Apr 20 19:27:20 2009  cycles contain 3583964 unique relations
Mon Apr 20 19:28:27 2009  read 3583964 relations
Mon Apr 20 19:28:33 2009  using 20 quadratic characters above 268430840
Mon Apr 20 19:28:56 2009  building initial matrix
Mon Apr 20 19:29:53 2009  memory use: 407.2 MB
Mon Apr 20 19:30:05 2009  read 1128467 cycles
Mon Apr 20 19:30:25 2009  matrix is 1128216 x 1128467 (323.7 MB) with weight 105969391 (93.91/col)
Mon Apr 20 19:30:25 2009  sparse part has weight 75825912 (67.19/col)
Mon Apr 20 19:30:49 2009  filtering completed in 3 passes
Mon Apr 20 19:30:49 2009  matrix is 1122687 x 1122887 (322.9 MB) with weight 105636528 (94.08/col)
Mon Apr 20 19:30:49 2009  sparse part has weight 75655471 (67.38/col)
Mon Apr 20 19:30:55 2009  read 1122887 cycles
Mon Apr 20 19:30:56 2009  matrix is 1122687 x 1122887 (322.9 MB) with weight 105636528 (94.08/col)
Mon Apr 20 19:30:56 2009  sparse part has weight 75655471 (67.38/col)
Mon Apr 20 19:30:56 2009  saving the first 48 matrix rows for later
Mon Apr 20 19:30:57 2009  matrix is 1122639 x 1122887 (309.2 MB) with weight 84191763 (74.98/col)
Mon Apr 20 19:30:57 2009  sparse part has weight 74309659 (66.18/col)
Mon Apr 20 19:30:57 2009  matrix includes 64 packed rows
Mon Apr 20 19:30:57 2009  using block size 65536 for processor cache size 3072 kB
Mon Apr 20 19:31:07 2009  commencing Lanczos iteration
Mon Apr 20 19:31:07 2009  memory use: 307.1 MB
Mon Apr 20 22:47:31 2009  lanczos halted after 17753 iterations (dim = 1122639)
Mon Apr 20 22:47:34 2009  recovered 30 nontrivial dependencies
Mon Apr 20 22:47:34 2009  BLanczosTime: 12017
Mon Apr 20 22:47:34 2009  
Mon Apr 20 22:47:34 2009  commencing square root phase
Mon Apr 20 22:47:34 2009  reading relations for dependency 1
Mon Apr 20 22:47:35 2009  read 560536 cycles
Mon Apr 20 22:47:36 2009  cycles contain 2179676 unique relations
Mon Apr 20 22:48:35 2009  read 2179676 relations
Mon Apr 20 22:48:49 2009  multiplying 1789248 relations
Mon Apr 20 22:55:12 2009  multiply complete, coefficients have about 83.73 million bits
Mon Apr 20 22:55:16 2009  initial square root is modulo 1023313
Mon Apr 20 23:03:42 2009  reading relations for dependency 2
Mon Apr 20 23:03:43 2009  read 562605 cycles
Mon Apr 20 23:03:44 2009  cycles contain 2184477 unique relations
Mon Apr 20 23:04:41 2009  read 2184477 relations
Mon Apr 20 23:04:55 2009  multiplying 1793096 relations
Mon Apr 20 23:11:28 2009  multiply complete, coefficients have about 83.91 million bits
Mon Apr 20 23:11:31 2009  initial square root is modulo 1054013
Mon Apr 20 23:20:00 2009  reading relations for dependency 3
Mon Apr 20 23:20:01 2009  read 561085 cycles
Mon Apr 20 23:20:02 2009  cycles contain 2178671 unique relations
Mon Apr 20 23:20:59 2009  read 2178671 relations
Mon Apr 20 23:21:13 2009  multiplying 1788758 relations
Mon Apr 20 23:27:36 2009  multiply complete, coefficients have about 83.70 million bits
Mon Apr 20 23:27:40 2009  initial square root is modulo 1017953
Mon Apr 20 23:36:06 2009  sqrtTime: 2912
Mon Apr 20 23:36:06 2009  prp44 factor: 81794757600323035554827444059633541274214747
Mon Apr 20 23:36:06 2009  prp87 factor: 138308699903585154803319669716002943598265094204006724265991671763585624304306433563833
Mon Apr 20 23:36:06 2009  elapsed time 04:27:55
total time 191,26 hours
software ソフトウェア
Msieve v1.41 / GGNFS / Msieve
execution environment 実行環境
Intel Core 2 Duo T8100 @ 2.1GHz 
Windows Vista 32bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)
786Andreas TeteApril 12, 2009 12:42:23 UTC 2009 年 4 月 12 日 (日) 21 時 42 分 23 秒 (日本時間)
403e621041250Andreas TeteApril 13, 2009 12:29:12 UTC 2009 年 4 月 13 日 (月) 21 時 29 分 12 秒 (日本時間)
854Andreas TeteApril 14, 2009 12:35:27 UTC 2009 年 4 月 14 日 (火) 21 時 35 分 27 秒 (日本時間)

52×10191+119

c187

name 名前Wataru Sakai
date 日付September 1, 2009 11:54:42 UTC 2009 年 9 月 1 日 (火) 20 時 54 分 42 秒 (日本時間)
composite number 合成数
2948944136223071744975311099428755494535096121401224832604887421222076476329335812714826327039038916421819237663914507841072326824673361904065176202247662536443562029622143848360755678277<187>
prime factors 素因数
30801606174199913457588213935842219<35>
composite cofactor 合成数の残り
95739946791903685132248909040386648829197591890573936370776635152212693642358749880570399774978728195176825298861308146931074602792034098577412749483983<152>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3691768300
Step 1 took 69848ms
Step 2 took 22050ms
********** Factor found in step 2: 30801606174199913457588213935842219
Found probable prime factor of 35 digits: 30801606174199913457588213935842219
Composite cofactor 95739946791903685132248909040386648829197591890573936370776635152212693642358749880570399774978728195176825298861308146931074602792034098577412749483983 has 152 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 19, 2011 21:36:44 UTC 2011 年 5 月 20 日 (金) 6 時 36 分 44 秒 (日本時間)
403e63210110Ignacio SantosMay 19, 2011 21:36:44 UTC 2011 年 5 月 20 日 (金) 6 時 36 分 44 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:49:53 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 53 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:01:53 UTC 2014 年 2 月 13 日 (木) 7 時 1 分 53 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:33 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 33 秒 (日本時間)
4511e632 / 3752Ignacio SantosMay 19, 2011 21:36:44 UTC 2011 年 5 月 20 日 (金) 6 時 36 分 44 秒 (日本時間)

52×10192+119

c139

composite cofactor 合成数の残り
4096258766726720740667971559804242320204762210193078789573643799991234200087502956062556651081059596297406481786892826487203960221239970957<139>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 19, 2011 22:14:26 UTC 2011 年 5 月 20 日 (金) 7 時 14 分 26 秒 (日本時間)
403e63210110Ignacio SantosMay 19, 2011 22:14:26 UTC 2011 年 5 月 20 日 (金) 7 時 14 分 26 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:49:53 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 53 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:02:03 UTC 2014 年 2 月 13 日 (木) 7 時 2 分 3 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:33 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 33 秒 (日本時間)
4511e632 / 3752Ignacio SantosMay 19, 2011 22:14:26 UTC 2011 年 5 月 20 日 (金) 7 時 14 分 26 秒 (日本時間)

52×10193+119

c181

name 名前matsui
date 日付February 22, 2011 21:55:30 UTC 2011 年 2 月 23 日 (水) 6 時 55 分 30 秒 (日本時間)
composite number 合成数
1754574006598501120047610152965012787044290889255161195209887450770936940749106565781599680304769419086485533348447997375615488109684519479026285650318630571194701774806215751214631<181>
prime factors 素因数
87244349890144603968163064213665993740350954064677383351884623041<65>
20111033079022385100616684401814366721213812661838967053995427184592162734480797650379219003117903675009135201141991<116>
factorization results 素因数分解の結果
N=1754574006598501120047610152965012787044290889255161195209887450770936940749106565781599680304769419086485533348447997375615488109684519479026285650318630571194701774806215751214631
  ( 181 digits)
SNFS difficulty: 194 digits.
Divisors found:
 r1=87244349890144603968163064213665993740350954064677383351884623041 (pp65)
 r2=20111033079022385100616684401814366721213812661838967053995427184592162734480797650379219003117903675009135201141991 (pp116)
Version: Msieve v. 1.48
Total time:
Scaled time: 38.65 units (timescale=0.676).
Factorization parameters were as follows:
n: 1754574006598501120047610152965012787044290889255161195209887450770936940749106565781599680304769419086485533348447997375615488109684519479026285650318630571194701774806215751214631
m: 200000000000000000000000000000000000000
deg: 5
c5: 1625
c0: 11
skew: 0.37
type: snfs
lss: 1
rlim: 12300000
alim: 12300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 12300000/12300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6150000, 23430001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2736800 x 2737025
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,194.000,5,0,0,0,0,0,0,0,0,12300000,12300000,28,28,55,55,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10194+119

c184

composite cofactor 合成数の残り
1535294795451139595886314052708190749759991532583431747912571414163956149388437191857475883533467584822308523440715590570137747823882026133676208592791447441903669919625521467328633421<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 19, 2011 23:55:55 UTC 2011 年 5 月 20 日 (金) 8 時 55 分 55 秒 (日本時間)
403e63210110Ignacio SantosMay 19, 2011 23:55:55 UTC 2011 年 5 月 20 日 (金) 8 時 55 分 55 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:49:54 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 54 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:02:14 UTC 2014 年 2 月 13 日 (木) 7 時 2 分 14 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:34 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 34 秒 (日本時間)
4511e632 / 3752Ignacio SantosMay 19, 2011 23:55:55 UTC 2011 年 5 月 20 日 (金) 8 時 55 分 55 秒 (日本時間)

52×10197+119

c136

name 名前Erik Branger
date 日付May 9, 2009 14:47:38 UTC 2009 年 5 月 9 日 (土) 23 時 47 分 38 秒 (日本時間)
composite number 合成数
2507206647322814436500135705744273279758691833540728488771499003385289025126313519686362630082299794459178069117751368048682483007039121<136>
prime factors 素因数
124983585212975494444207599696457<33>
632394553174014976691291963192884507171937573<45>
31721157876312680245539261007036254938393070660760364592661<59>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 2507206647322814436500135705744273279758691833540728488771499003385289025126313519686362630082299794459178069117751368048682483007039121 (136 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1013880214
Step 1 took 43353ms
Step 2 took 14523ms
********** Factor found in step 2: 124983585212975494444207599696457
Found probable prime factor of 33 digits: 124983585212975494444207599696457
Composite cofactor 20060287461353143260577074732985834740382233133179282303851165223232505606725814342567316225784265951753 has 104 digits

Number: 57779_197
N=20060287461353143260577074732985834740382233133179282303851165223232505606725814342567316225784265951753
  ( 104 digits)
Divisors found:
 r1=632394553174014976691291963192884507171937573 (pp45)
 r2=31721157876312680245539261007036254938393070660760364592661 (pp59)
Version: Msieve v. 1.41
Total time: 9.76 hours.
Scaled time: 8.73 units (timescale=0.895).
Factorization parameters were as follows:
name: 57779_197
n: 20060287461353143260577074732985834740382233133179282303851165223232505606725814342567316225784265951753
skew: 9162.82
# norm 1.56e+014
c5: 37800
c4: -971408292
c3: 5500669569536
c2: 114106733298595240
c1: -205004754396022467272
c0: -1438295962118762891247067
# alpha -5.92
Y1: 136309959109
Y0: -55587167437977075996
# Murphy_E 2.26e-009
# M 5905042831134496601099371153764024483475550021478620361667233147008724041134572060710188437332295219513
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 299270 x 299518
Polynomial selection time: 0.64 hours.
Total sieving time: 8.52 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.33 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 9.76 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GMP-ECM, GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10198+119

c167

name 名前Dmitry Domanov
date 日付February 12, 2014 11:11:08 UTC 2014 年 2 月 12 日 (水) 20 時 11 分 8 秒 (日本時間)
composite number 合成数
23578716065480863098125363280145146250357829092329593351374346477921993023692559507418141856809333168237338230976971732358195032331242078031690748417282618527658756933<167>
prime factors 素因数
17173388301948652142273432100110188397<38>
composite cofactor 合成数の残り
1372979848292686829625320198654853670591592871906627973741064067674509800948751118067871037675548779501663018681229581827312376889<130>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3710027529
Step 1 took 19444ms
Step 2 took 8209ms
********** Factor found in step 2: 17173388301948652142273432100110188397
Found probable prime factor of 38 digits: 17173388301948652142273432100110188397

c130

name 名前Erik Branger
date 日付March 2, 2014 10:47:40 UTC 2014 年 3 月 2 日 (日) 19 時 47 分 40 秒 (日本時間)
composite number 合成数
1372979848292686829625320198654853670591592871906627973741064067674509800948751118067871037675548779501663018681229581827312376889<130>
prime factors 素因数
7144950128877905893431522566584348164679845883790087<52>
192160872158293064501375248193647545534755632000351121467983448056514090784447<78>
factorization results 素因数分解の結果
Number: 57779_198
N = 1372979848292686829625320198654853670591592871906627973741064067674509800948751118067871037675548779501663018681229581827312376889 (130 digits)
Divisors found:
r1=7144950128877905893431522566584348164679845883790087 (pp52)
r2=192160872158293064501375248193647545534755632000351121467983448056514090784447 (pp78)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 45.06 hours.
Factorization parameters were as follows:
# Murphy_E = 8.847e-11, selected by Erik Branger
# expecting poly E from 9.38e-011 to > 1.08e-010
n: 1372979848292686829625320198654853670591592871906627973741064067674509800948751118067871037675548779501663018681229581827312376889
Y0: -12709637372577106273180996
Y1: 66330606301981
c0: -26593022298097012710909774371223
c1: 285591881540291252170206841
c2: 470987732082305041466
c3: -5037843439441889
c4: -3609273351
c5: 4140
skew: 463761.46
type: gnfs
# selected mechanically
rlim: 9300000
alim: 9300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 17173131
Relations: 2404764 relations
Pruned matrix : 1389900 x 1390130
Polynomial selection time: 0.00 hours.
Total sieving time: 43.50 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.35 hours.
time per square root: 0.12 hours.
Prototype def-par.txt line would be: gnfs,129,5,65,2000,1e-05,0.28,250,20,50000,3600,9300000,9300000,28,28,53,53,2.5,2.5,100000
total time: 45.06 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 20, 2011 06:16:03 UTC 2011 年 5 月 20 日 (金) 15 時 16 分 3 秒 (日本時間)
403e61910110Ignacio SantosMay 20, 2011 06:16:03 UTC 2011 年 5 月 20 日 (金) 15 時 16 分 3 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:49:55 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 55 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:02:25 UTC 2014 年 2 月 13 日 (木) 7 時 2 分 25 秒 (日本時間)
4511e6119 / 403932Ignacio SantosMay 20, 2011 06:16:03 UTC 2011 年 5 月 20 日 (金) 15 時 16 分 3 秒 (日本時間)
87KTakahashiFebruary 23, 2014 10:25:08 UTC 2014 年 2 月 23 日 (日) 19 時 25 分 8 秒 (日本時間)

52×10199+119

c138

name 名前Wataru Sakai
date 日付August 21, 2009 12:19:43 UTC 2009 年 8 月 21 日 (金) 21 時 19 分 43 秒 (日本時間)
composite number 合成数
481106710208268919854254606596665571381055880615797009068611325765618817745923774383375837009109138833029636427538857069325838738764269957<138>
prime factors 素因数
1786826983403462415473402018217405391<37>
269251983922852962675309422494691188138974240910425994172961541962117182925129658737872261636387448427<102>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1647347969
Step 1 took 42593ms
Step 2 took 14619ms
********** Factor found in step 2: 1786826983403462415473402018217405391
Found probable prime factor of 37 digits: 1786826983403462415473402018217405391
Probable prime cofactor 269251983922852962675309422494691188138974240910425994172961541962117182925129658737872261636387448427 has 102 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)
403e6500 / 2318Erik BrangerMay 6, 2009 10:15:40 UTC 2009 年 5 月 6 日 (水) 19 時 15 分 40 秒 (日本時間)

52×10200+119

c201

name 名前Wataru Sakai
date 日付May 28, 2009 13:39:25 UTC 2009 年 5 月 28 日 (木) 22 時 39 分 25 秒 (日本時間)
composite number 合成数
192592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592593<201>
prime factors 素因数
8075439109054338741026365424340286769<37>
46072334646769181132736381886218495737461<41>
517646417427145438243223197026762870951002843055646221049761620790442362955715502310129467442320445073950466702993889063677<123>
factorization results 素因数分解の結果
Number: 57779_200
N=192592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592593
  ( 201 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=8075439109054338741026365424340286769
 r2=46072334646769181132736381886218495737461
 r3=517646417427145438243223197026762870951002843055646221049761620790442362955715502310129467442320445073950466702993889063677
Version: 
Total time: 724.79 hours.
Scaled time: 1437.98 units (timescale=1.984).
Factorization parameters were as follows:
n: 192592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592593
m: 10000000000000000000000000000000000000000
deg: 5
c5: 52
c0: 11
skew: 0.73
type: snfs
lss: 1
rlim: 16100000
alim: 16100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16100000/16100000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8050000, 15150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2550504 x 2550752
Total sieving time: 724.79 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16100000,16100000,29,29,56,56,2.6,2.6,100000
total time: 724.79 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10201+119

c197

name 名前Dmitry Domanov
date 日付July 4, 2009 11:31:06 UTC 2009 年 7 月 4 日 (土) 20 時 31 分 6 秒 (日本時間)
composite number 合成数
10034714322296884356285619617557739649722858558192948644840777065120085619270202243877907630840613808037072866113174981681821979922466393838222265448683918270339449298737497855562251797612934438001<197>
prime factors 素因数
327574010996440651174881028085255183<36>
30633426295854463882304563603886870527666531320541302771617844658424271598181095302778430382149016907140565796158720390106944926598693879577187939072797793406847<161>
factorization results 素因数分解の結果
C197=P36*P161
C197=327574010996440651174881028085255183<36>*30633426295854463882304563603886870527666531320541302771617844658424271598181095302778430382149016907140565796158720390106944926598693879577187939072797793406847<161>
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)

52×10202+119

c178

composite cofactor 合成数の残り
6320813095810260882609775699407235820251225494595994068133016940031786168650237091271100812013676146402840462370536918884780435555008277553932810308847732914863497081700457574209<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 20, 2011 06:16:27 UTC 2011 年 5 月 20 日 (金) 15 時 16 分 27 秒 (日本時間)
403e63210110Ignacio SantosMay 20, 2011 06:16:27 UTC 2011 年 5 月 20 日 (金) 15 時 16 分 27 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:49:56 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 56 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:02:50 UTC 2014 年 2 月 13 日 (木) 7 時 2 分 50 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:34 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 34 秒 (日本時間)
4511e632 / 3752Ignacio SantosMay 20, 2011 06:16:27 UTC 2011 年 5 月 20 日 (金) 15 時 16 分 27 秒 (日本時間)

52×10203+119

c163

composite cofactor 合成数の残り
6127639627839019211107367731831304154648706882882909770846489930259277304680725947284367031526601863782705940009818102856441260469530490180735726734467473744991827<163>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 20, 2011 06:16:57 UTC 2011 年 5 月 20 日 (金) 15 時 16 分 57 秒 (日本時間)
403e63210110Ignacio SantosMay 20, 2011 06:16:57 UTC 2011 年 5 月 20 日 (金) 15 時 16 分 57 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:49:58 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 58 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:03:00 UTC 2014 年 2 月 13 日 (木) 7 時 3 分 0 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:35 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 35 秒 (日本時間)
4511e632 / 3752Ignacio SantosMay 20, 2011 06:16:57 UTC 2011 年 5 月 20 日 (金) 15 時 16 分 57 秒 (日本時間)

52×10204+119

c204

name 名前Markus Tervooren
date 日付June 16, 2009 16:49:20 UTC 2009 年 6 月 17 日 (水) 1 時 49 分 20 秒 (日本時間)
composite number 合成数
825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825397<204>
prime factors 素因数
3489796835931103361689260396347023065416395122343361<52>
236517156786464756205308903707715975525031761922301258980101045633547768238421296759011363918993807438685658380715328301003618543542563650318286959170677<153>
factorization results 素因数分解の結果
Msieve v. 1.41
Mon Jun 15 11:30:04 2009
random seeds: 15203ffb 1cd35f9e
factoring 825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825397 (204 digits)
searching for 15-digit factors
commencing number field sieve (204-digit input)
R0: -100000000000000000000000000000000000000000
R1:  1
A0:  55
A1:  0
A2:  0
A3:  0
A4:  0
A5:  26
skew 1.16, size 2.311556e-14, alpha 1.167854, combined = 8.053847e-12

commencing relation filtering
commencing duplicate removal, pass 1
error -11 reading relation 4747171
error -11 reading relation 36981095
error -11 reading relation 37269830
error -9 reading relation 37529624
error -15 reading relation 37808078
found 6615974 hash collisions in 41847181 relations
added 36 free relations
commencing duplicate removal, pass 2
found 5189566 duplicates and 36657651 unique relations
memory use: 165.2 MB
reading rational ideals above 27066368
reading algebraic ideals above 27066368
commencing singleton removal, pass 1
relations with 0 large ideals: 854492
relations with 1 large ideals: 4838519
relations with 2 large ideals: 11747822
relations with 3 large ideals: 12974157
relations with 4 large ideals: 5544950
relations with 5 large ideals: 51281
relations with 6 large ideals: 646430
relations with 7+ large ideals: 0
36657651 relations and about 31746105 large ideals
commencing singleton removal, pass 2
found 11657926 singletons
current dataset: 24999725 relations and about 18520428 large ideals
commencing singleton removal, pass 3
found 2458512 singletons
current dataset: 22541213 relations and about 15954383 large ideals
commencing singleton removal, pass 4
found 610781 singletons
current dataset: 21930432 relations and about 15335945 large ideals
commencing singleton removal, pass 5
found 151119 singletons
current dataset: 21779313 relations and about 15184347 large ideals
commencing singleton removal, final pass
memory use: 360.3 MB
commencing in-memory singleton removal
begin with 21779313 relations and 18395015 unique ideals
reduce to 15354339 relations and 11633580 ideals in 18 passes
max relations containing the same ideal: 46
reading rational ideals above 720000
reading algebraic ideals above 720000
commencing singleton removal, final pass
keeping 13441317 ideals with weight <= 20, new excess is 1564387
memory use: 489.2 MB
commencing in-memory singleton removal
begin with 15354376 relations and 13441317 unique ideals
reduce to 15313044 relations and 13399791 ideals in 13 passes
max relations containing the same ideal: 20
removing 728555 relations and 679273 ideals in 49282 cliques
commencing in-memory singleton removal
begin with 14584489 relations and 13399791 unique ideals
reduce to 14556496 relations and 12692371 ideals in 8 passes
max relations containing the same ideal: 20
removing 524992 relations and 475710 ideals in 49282 cliques
commencing in-memory singleton removal
begin with 14031504 relations and 12692371 unique ideals
reduce to 14016019 relations and 12201099 ideals in 8 passes
max relations containing the same ideal: 20
relations with 0 large ideals: 121410
relations with 1 large ideals: 784824
relations with 2 large ideals: 2483536
relations with 3 large ideals: 4142115
relations with 4 large ideals: 3815762
relations with 5 large ideals: 1924327
relations with 6 large ideals: 648133
relations with 7+ large ideals: 95912
commencing 2-way merge
reduce to 8245211 relation sets and 6430293 unique ideals
ignored 2 oversize relation sets
commencing full merge
memory use: 604.6 MB
found 4064935 cycles, need 3832493
weight of 3832493 cycles is about 268453437 (70.05/cycle)
distribution of cycle lengths:
1 relations: 555724
2 relations: 487158
3 relations: 462672
4 relations: 405356
5 relations: 357807
6 relations: 296266
7 relations: 254182
8 relations: 213886
9 relations: 178724
10+ relations: 620718
heaviest cycle: 20 relations
commencing cycle optimization
start with 20801266 relations
pruned 493110 relations
memory use: 717.1 MB
distribution of cycle lengths:
1 relations: 555724
2 relations: 498808
3 relations: 479788
4 relations: 414965
5 relations: 364985
6 relations: 299239
7 relations: 255275
8 relations: 212681
9 relations: 175573
10+ relations: 575455
heaviest cycle: 20 relations
RelProcTime: 1843

commencing linear algebra
read 3832493 cycles
cycles contain 12267129 unique relations
read 12267129 relations
using 20 quadratic characters above 536870840
building initial matrix
memory use: 1538.9 MB
read 3832493 cycles
matrix is 3830980 x 3832493 (1149.3 MB) with weight 338758144 (88.39/col)
sparse part has weight 259136904 (67.62/col)
filtering completed in 3 passes
matrix is 3777859 x 3778059 (1139.2 MB) with weight 335479132 (88.80/col)
sparse part has weight 257071186 (68.04/col)
read 3778059 cycles
matrix is 3777859 x 3778059 (1139.2 MB) with weight 335479132 (88.80/col)
sparse part has weight 257071186 (68.04/col)
saving the first 48 matrix rows for later
matrix is 3777811 x 3778059 (1080.2 MB) with weight 265630651 (70.31/col)
sparse part has weight 245398470 (64.95/col)
matrix includes 64 packed rows
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (4 threads)
memory use: 1135.5 MB
linear algebra completed 3777680 of 3778059 dimensions (100.0%, ETA 0h 0m)
lanczos halted after 59744 iterations (dim = 3777811)
recovered 37 nontrivial dependencies
BLanczosTime: 95960

commencing square root phase
reading relations for dependency 1
read 1889489 cycles
cycles contain 7358025 unique relations
read 7358025 relations
multiplying 6101724 relations
multiply complete, coefficients have about 175.74 million bits
initial square root is modulo 2028101
reading relations for dependency 2
read 1888830 cycles
cycles contain 7354128 unique relations
read 7354128 relations
multiplying 6099464 relations
multiply complete, coefficients have about 175.68 million bits
initial square root is modulo 2017991
reading relations for dependency 3
read 1888847 cycles
cycles contain 7355319 unique relations
read 7355319 relations
multiplying 6101654 relations
multiply complete, coefficients have about 175.74 million bits
initial square root is modulo 2027561
sqrtTime: 4290
prp52 factor: 3489796835931103361689260396347023065416395122343361
prp153 factor: 236517156786464756205308903707715975525031761922301258980101045633547768238421296759011363918993807438685658380715328301003618543542563650318286959170677
elapsed time 28:21:58
Sieving CPU time 551:45:01
software ソフトウェア
lasieve/msieve
execution environment 実行環境
Q6700, Linux

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61318118Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)
1200Markus TervoorenMay 12, 2009 11:12:55 UTC 2009 年 5 月 12 日 (火) 20 時 12 分 55 秒 (日本時間)
403e63100Markus TervoorenMay 12, 2009 11:13:10 UTC 2009 年 5 月 12 日 (火) 20 時 13 分 10 秒 (日本時間)

52×10205+119

c167

composite cofactor 合成数の残り
15922493154042632537402203820924138559637887670861617534610978420365663536037745912885980806618751477104318853587178985617611646292070555223550038101855213734167406073<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 7, 2009 13:00:00 UTC 2009 年 4 月 7 日 (火) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 20, 2011 06:17:24 UTC 2011 年 5 月 20 日 (金) 15 時 17 分 24 秒 (日本時間)
403e63210110Ignacio SantosMay 20, 2011 06:17:24 UTC 2011 年 5 月 20 日 (金) 15 時 17 分 24 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:49:59 UTC 2014 年 1 月 9 日 (木) 13 時 49 分 59 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:03:13 UTC 2014 年 2 月 13 日 (木) 7 時 3 分 13 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:35 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 35 秒 (日本時間)
4511e632 / 3752Ignacio SantosMay 20, 2011 06:17:24 UTC 2011 年 5 月 20 日 (金) 15 時 17 分 24 秒 (日本時間)

52×10206+119

c159

composite cofactor 合成数の残り
655084073425505502119125648893001014871958726366867802006723781670248525285441434998030621348227733180743451765881695657448419451136809236625701649050623464873<159>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e63390290CypJanuary 2, 2014 09:54:37 UTC 2014 年 1 月 2 日 (木) 18 時 54 分 37 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:00 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 0 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:03:23 UTC 2014 年 2 月 13 日 (木) 7 時 3 分 23 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:35 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 35 秒 (日本時間)

52×10207+119

c145

composite cofactor 合成数の残り
7999379740146360026759982302035577133252724686728357641015819155419463316688838732941725039206177707843582180762303839531131345285900523489743073<145>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e6280KTakahashiOctober 17, 2013 21:04:44 UTC 2013 年 10 月 18 日 (金) 6 時 4 分 44 秒 (日本時間)
4511e64040230Ignacio SantosOctober 26, 2013 11:50:06 UTC 2013 年 10 月 26 日 (土) 20 時 50 分 6 秒 (日本時間)
230Ignacio SantosOctober 26, 2013 17:42:26 UTC 2013 年 10 月 27 日 (日) 2 時 42 分 26 秒 (日本時間)
230Ignacio SantosOctober 26, 2013 22:04:52 UTC 2013 年 10 月 27 日 (日) 7 時 4 分 52 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:10:11 UTC 2013 年 11 月 9 日 (土) 2 時 10 分 11 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:21 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 21 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:36:01 UTC 2014 年 5 月 25 日 (日) 2 時 36 分 1 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:37 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 37 秒 (日本時間)
5043e61000 / 6635Rich DickersonNovember 24, 2015 07:41:15 UTC 2015 年 11 月 24 日 (火) 16 時 41 分 15 秒 (日本時間)

52×10209+119

c189

composite cofactor 合成数の残り
272525352504996381815275012852126358609852224165728521380201568045889259832715362613939139837529541667755678828967373725777456340482761089895696971707768773198414525130573489352582048701883<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 5, 2014 00:46:27 UTC 2014 年 1 月 5 日 (日) 9 時 46 分 27 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:01 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 1 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:03:46 UTC 2014 年 2 月 13 日 (木) 7 時 3 分 46 秒 (日本時間)
4511e6300 / 3876Serge BatalovMay 27, 2014 00:33:38 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 38 秒 (日本時間)
5043e639 / 7406CypJanuary 24, 2014 10:54:51 UTC 2014 年 1 月 24 日 (金) 19 時 54 分 51 秒 (日本時間)

52×10211+119

c202

name 名前Cyp
date 日付January 4, 2014 03:13:26 UTC 2014 年 1 月 4 日 (土) 12 時 13 分 26 秒 (日本時間)
composite number 合成数
1012685065889668876724577144868672666640310061643657371901816167184005978875273148552723703000829782499059208226953091712030872748826081906022623297791297011700452204529345557812264885440764073854210727<202>
prime factors 素因数
10363950691394446011382074183350053817<38>
97712262055678923983564000987620449611410556636732099398627575973506410026351593650460183689313553432270300787834745983265352779074979494296055217928102512984187231<164>
factorization results 素因数分解の結果
Run 76 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2256380329
Step 1 took 18921ms
Step 2 took 6149ms
********** Factor found in step 2: 10363950691394446011382074183350053817
Found probable prime factor of 38 digits: 10363950691394446011382074183350053817
Probable prime cofactor 97712262055678923983564000987620449611410556636732099398627575973506410026351593650460183689313553432270300787834745983265352779074979494296055217928102512984187231 has 164 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 691Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e676 / 2318CypJanuary 4, 2014 03:13:25 UTC 2014 年 1 月 4 日 (土) 12 時 13 分 25 秒 (日本時間)

52×10212+119

c192

composite cofactor 合成数の残り
474422300237326265365064315444132870336814405997834008108158107419883125299858541882246881602815186495052688891152615918003627094011262484937653486942517987403178664550652163484621708821532981<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e63390290CypDecember 31, 2013 20:45:33 UTC 2014 年 1 月 1 日 (水) 5 時 45 分 33 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:02 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 2 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:04:02 UTC 2014 年 2 月 13 日 (木) 7 時 4 分 2 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:36 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 36 秒 (日本時間)

52×10213+119

c188

name 名前Cyp
date 日付January 2, 2014 16:47:52 UTC 2014 年 1 月 3 日 (金) 1 時 47 分 52 秒 (日本時間)
composite number 合成数
43327174529951004321476926212872739327052894791232581689870980482994850363170081654058853602644685639465428173711093621505409965831293348470656158190787100640110247190752764616975055714227<188>
prime factors 素因数
4046696595908453708127707225219<31>
composite cofactor 合成数の残り
10706800844362380815513314913718071452563695083931213647369926418977054456190219352538132261301430300022806453067478140717413530269688593346798516683525878033<158>
factorization results 素因数分解の結果
Run 4 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1725128654
Step 1 took 16085ms
Step 2 took 5689ms
********** Factor found in step 2: 4046696595908453708127707225219
Found probable prime factor of 31 digits: 4046696595908453708127707225219
Composite cofactor 10706800844362380815513314913718071452563695083931213647369926418977054456190219352538132261301430300022806453067478140717413530269688593346798516683525878033 has 158 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e63390290CypJanuary 2, 2014 16:47:51 UTC 2014 年 1 月 3 日 (金) 1 時 47 分 51 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:02 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 2 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:04:12 UTC 2014 年 2 月 13 日 (木) 7 時 4 分 12 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:36 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 36 秒 (日本時間)

52×10216+119

c147

name 名前Serge Batalov
date 日付November 8, 2013 03:18:48 UTC 2013 年 11 月 8 日 (金) 12 時 18 分 48 秒 (日本時間)
composite number 合成数
278266042051273539007407019716375582873486687451128134286353086318394002050699026189728152736241665213776637471819476155394511051301256633529978783<147>
prime factors 素因数
2755662492501008088169400267621695979560861<43>
56431996042739572846459663731814442897836384079<47>
1789405524821802869156116954836564677642946196068565592357<58>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3260358754
Step 1 took 36002ms
Step 2 took 16022ms
********** Factor found in step 2: 2755662492501008088169400267621695979560861
Found probable prime factor of 43 digits: 2755662492501008088169400267621695979560861
Composite cofactor 

prp47 factor: 56431996042739572846459663731814442897836384079
prp58 factor: 1789405524821802869156116954836564677642946196068565592357

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e6280KTakahashiOctober 17, 2013 22:03:14 UTC 2013 年 10 月 18 日 (金) 7 時 3 分 14 秒 (日本時間)
4511e6690 / 4413230Ignacio SantosOctober 26, 2013 14:55:53 UTC 2013 年 10 月 26 日 (土) 23 時 55 分 53 秒 (日本時間)
230Ignacio SantosOctober 27, 2013 13:26:33 UTC 2013 年 10 月 27 日 (日) 22 時 26 分 33 秒 (日本時間)
230Ignacio SantosOctober 27, 2013 17:14:13 UTC 2013 年 10 月 28 日 (月) 2 時 14 分 13 秒 (日本時間)

52×10217+119

c177

name 名前Serge Batalov
date 日付January 6, 2014 22:14:11 UTC 2014 年 1 月 7 日 (火) 7 時 14 分 11 秒 (日本時間)
composite number 合成数
234558120851868946541107964482358227769098451693318644992816519916015856537212967210470541634958523949991023206258400949055386212773574390370427788521207763378130232042356511179<177>
prime factors 素因数
14179978216318124646694609361639131<35>
composite cofactor 合成数の残り
16541500788904081307006096149920760242435787339541971638855860118502133391509743792650124696056110827770462188515327863514942250720583926189009<143>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=368943102
Step 1 took 5255ms
Step 2 took 3674ms
********** Factor found in step 2: 14179978216318124646694609361639131
Found probable prime factor of 35 digits: 14179978216318124646694609361639131
Composite cofactor 

c143

name 名前Ignacio Santos
date 日付February 5, 2014 21:49:46 UTC 2014 年 2 月 6 日 (木) 6 時 49 分 46 秒 (日本時間)
composite number 合成数
16541500788904081307006096149920760242435787339541971638855860118502133391509743792650124696056110827770462188515327863514942250720583926189009<143>
prime factors 素因数
193478025261774680900225671056179519<36>
composite cofactor 合成数の残り
85495501447895820194972457372498634838841746492020489212926422881105253662616923213373334978921351343529711<107>
factorization results 素因数分解の結果
Run 40 out of 230:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2727379010
Step 1 took 32500ms
Step 2 took 18797ms
********** Factor found in step 2: 193478025261774680900225671056179519
Found probable prime factor of 36 digits: 193478025261774680900225671056179519
software ソフトウェア
GMP-ECM 7.0

c107

name 名前Dmitry Domanov
date 日付February 8, 2014 11:22:45 UTC 2014 年 2 月 8 日 (土) 20 時 22 分 45 秒 (日本時間)
composite number 合成数
85495501447895820194972457372498634838841746492020489212926422881105253662616923213373334978921351343529711<107>
prime factors 素因数
262779947603818128810730123096542871602073<42>
325350173129624261046051770508297274630399712308791401776715582407<66>
factorization results 素因数分解の結果
N=85495501447895820194972457372498634838841746492020489212926422881105253662616923213373334978921351343529711
  ( 107 digits)
Divisors found:
 r1=262779947603818128810730123096542871602073 (pp42)
 r2=325350173129624261046051770508297274630399712308791401776715582407 (pp66)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 14.14 hours.
Scaled time: 15.41 units (timescale=1.090).
Factorization parameters were as follows:
n: 85495501447895820194972457372498634838841746492020489212926422881105253662616923213373334978921351343529711
skew: 27778876.61
c0: 9382876788408115761384851542255
c1: 202894775075458465553278
c2: -125229449260466581
c3: 6116428604
c4: 72
Y0: -185631408079628349585471558
Y1: 24813812525749
rlim: 2780000
alim: 2780000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 240000
type: gnfs
Factor base limits: 2780000/2780000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1390000, 2830001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 374135 x 374360
Total sieving time: 13.69 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.25 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
gnfs,106,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2780000,2780000,26,26,52,52,2.5,2.5,150000
total time: 14.14 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:24:40 UTC 2014 年 1 月 7 日 (火) 5 時 24 分 40 秒 (日本時間)
403e6300 / 2100Serge BatalovJanuary 9, 2014 04:50:03 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 3 秒 (日本時間)

52×10218+119

c176

name 名前Cyp
date 日付January 1, 2014 23:02:45 UTC 2014 年 1 月 2 日 (木) 8 時 2 分 45 秒 (日本時間)
composite number 合成数
26493060085241514029908135532277947564986500307139079794673722047447132443475043352948667147218609602131518945946654156555533005976278096906849871515881560500155003125643037171<176>
prime factors 素因数
593507349602424671959202295877<30>
composite cofactor 合成数の残り
44638133130092718232105378310586094786142236785527496050615962683122350214546210558427931905146751194834410745296255843242661435601504110490616023<146>
factorization results 素因数分解の結果
Run 101 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=352281662
Step 1 took 16114ms
Step 2 took 5503ms
********** Factor found in step 2: 593507349602424671959202295877
Found probable prime factor of 30 digits: 593507349602424671959202295877
Composite cofactor 44638133130092718232105378310586094786142236785527496050615962683122350214546210558427931905146751194834410745296255843242661435601504110490616023 has 146 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e6290CypJanuary 1, 2014 23:02:44 UTC 2014 年 1 月 2 日 (木) 8 時 2 分 44 秒 (日本時間)
4511e62600500Serge BatalovJanuary 4, 2014 22:39:01 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 1 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:36:06 UTC 2014 年 5 月 25 日 (日) 2 時 36 分 6 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:38 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 38 秒 (日本時間)
5043e6517 / 6958500Serge BatalovJanuary 4, 2014 23:01:03 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 3 秒 (日本時間)
17KTakahashiMay 30, 2014 23:29:57 UTC 2014 年 5 月 31 日 (土) 8 時 29 分 57 秒 (日本時間)

52×10220+119

c192

name 名前Dmitry Domanov
date 日付February 11, 2014 05:28:26 UTC 2014 年 2 月 11 日 (火) 14 時 28 分 26 秒 (日本時間)
composite number 合成数
194506496783527690372302654093922311569602217663922194594179399194297383383237676779455868240934008854496635600896090530259909162064487048957805912000399248551595181195860089453073362014404997<192>
prime factors 素因数
269959274392531340443124132123847961718321<42>
composite cofactor 合成数の残り
720503110038396527898097318999446552837141234465134473580035091284177403914448438035244988449518241420294909298692867382930907691441850229515540516757<150>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=480098204
Step 1 took 25937ms
Step 2 took 9541ms
********** Factor found in step 2: 269959274392531340443124132123847961718321
Found probable prime factor of 42 digits: 269959274392531340443124132123847961718321

c150

name 名前Erik Branger
date 日付November 5, 2017 20:39:00 UTC 2017 年 11 月 6 日 (月) 5 時 39 分 0 秒 (日本時間)
composite number 合成数
720503110038396527898097318999446552837141234465134473580035091284177403914448438035244988449518241420294909298692867382930907691441850229515540516757<150>
prime factors 素因数
49477664210054745824728911541549814242741370323744687055501662219<65>
14562189253307099656990184526875956406656014801152681500650850652621176617461616007903<86>
factorization results 素因数分解の結果
Number: 57779_220
N = 720503110038396527898097318999446552837141234465134473580035091284177403914448438035244988449518241420294909298692867382930907691441850229515540516757 (150 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=49477664210054745824728911541549814242741370323744687055501662219 (pp65)
r2=14562189253307099656990184526875956406656014801152681500650850652621176617461616007903 (pp86)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 74.77 hours.
Factorization parameters were as follows:
n: 720503110038396527898097318999446552837141234465134473580035091284177403914448438035244988449518241420294909298692867382930907691441850229515540516757
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 52
c0: 11
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 25577080
Relations: 8543106 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 42.00 hours.
Total relation processing time: 0.23 hours.
Pruned matrix : 7237108 x 7237333
Matrix solve time: 32.04 hours.
time per square root: 0.50 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,67108864,29,26,58,52,2.8,2.8,100000
total time: 74.77 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.15063-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 3, 2014 00:07:32 UTC 2014 年 1 月 3 日 (金) 9 時 7 分 32 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:04 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 4 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:04:28 UTC 2014 年 2 月 13 日 (木) 7 時 4 分 28 秒 (日本時間)
4511e6401967KTakahashiFebruary 25, 2014 00:33:46 UTC 2014 年 2 月 25 日 (火) 9 時 33 分 46 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:10 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 10 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:38 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 38 秒 (日本時間)
2752Ignacio SantosMarch 10, 2016 21:18:24 UTC 2016 年 3 月 11 日 (金) 6 時 18 分 24 秒 (日本時間)

52×10221+119

c210

composite cofactor 合成数の残り
554371327736876380423177982466372008188420600008609366655776020941792185674991930331163875560295833921802123794255428557900058517758111848020359599329443889609460251875023563244050199677323531225340764797684913<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:24:40 UTC 2014 年 1 月 7 日 (火) 5 時 24 分 40 秒 (日本時間)
403e63100300Serge BatalovJanuary 9, 2014 04:50:05 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 5 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:04:39 UTC 2014 年 2 月 13 日 (木) 7 時 4 分 39 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:37 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 37 秒 (日本時間)

52×10225+119

c212

composite cofactor 合成数の残り
26995574374736452568691991507768402650469708742882826557833617802182594406718351810354313990275475931879886965263361482588700790897045154299238145190499020181503536145313588399328708944063931434893720057504952433<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 4, 2014 07:46:05 UTC 2014 年 1 月 4 日 (土) 16 時 46 分 5 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:06 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 6 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:04:51 UTC 2014 年 2 月 13 日 (木) 7 時 4 分 51 秒 (日本時間)
4511e6300 / 3876Serge BatalovMay 27, 2014 00:33:39 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 39 秒 (日本時間)
5043e639 / 7406CypJanuary 11, 2014 19:57:04 UTC 2014 年 1 月 12 日 (日) 4 時 57 分 4 秒 (日本時間)

52×10226+119

c212

composite cofactor 合成数の残り
11050817451842037346507385888953760856562831057027313928856560094311007855822005057118866658574383412716145064872237922183108683004314861466295414987881026686602888569011090586320860298693129495726076525645949683<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e63390290CypJanuary 1, 2014 08:22:22 UTC 2014 年 1 月 1 日 (水) 17 時 22 分 22 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:07 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 7 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:05:01 UTC 2014 年 2 月 13 日 (木) 7 時 5 分 1 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:37 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 37 秒 (日本時間)

52×10228+119

c217

composite cofactor 合成数の残り
1380922179843352780813158951918791954099274500998263633464582610721996459644154722031469691904905048094996885712683671182316317155600818809382073643200718700642699567467616978929993674442986484532429820656205769095301<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:24:41 UTC 2014 年 1 月 7 日 (火) 5 時 24 分 41 秒 (日本時間)
403e63100300Serge BatalovJanuary 9, 2014 04:50:07 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 7 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:05:10 UTC 2014 年 2 月 13 日 (木) 7 時 5 分 10 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:37 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 37 秒 (日本時間)

52×10229+119

c211

composite cofactor 合成数の残り
2946989760698490251891182596759985327794184821086094413901473624031840440418850062571830406252812942356749507180229534178847761726907839229384047616054110330462100508637249904022470850794729921535811127842001169<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 1, 2014 02:39:41 UTC 2014 年 1 月 1 日 (水) 11 時 39 分 41 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:08 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 8 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:05:19 UTC 2014 年 2 月 13 日 (木) 7 時 5 分 19 秒 (日本時間)
4511e6300 / 3876Serge BatalovMay 27, 2014 00:33:39 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 39 秒 (日本時間)
5043e639 / 7406CypJanuary 11, 2014 18:45:43 UTC 2014 年 1 月 12 日 (日) 3 時 45 分 43 秒 (日本時間)

52×10230+119

c189

name 名前Serge Batalov
date 日付January 6, 2014 22:12:49 UTC 2014 年 1 月 7 日 (火) 7 時 12 分 49 秒 (日本時間)
composite number 合成数
170295328831217800606937648590500828359186720116027818987505147251773043617311374690623105752687980044950792699139434705113751292912557446448889032175309007730719640647735845105447376800081<189>
prime factors 素因数
412846544648252826301322258154099744103<39>
412490624031527772110170918427319658162307247785001130570440059265593033073844726045615092819124040224558809013326864298086131008167825819587941333127<150>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2323850865
Step 1 took 5362ms
Step 2 took 3635ms
********** Factor found in step 2: 412846544648252826301322258154099744103
Found probable prime factor of 39 digits: 412846544648252826301322258154099744103
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:24:42 UTC 2014 年 1 月 7 日 (火) 5 時 24 分 42 秒 (日本時間)

52×10231+119

c232

composite cofactor 合成数の残り
5777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e60--
4511e63550850Serge BatalovNovember 8, 2013 17:16:10 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 10 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:00 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 0 秒 (日本時間)
1500Dmitry DomanovJanuary 13, 2014 11:30:06 UTC 2014 年 1 月 13 日 (月) 20 時 30 分 6 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:10 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 10 秒 (日本時間)
5043e611760760Serge BatalovFebruary 24, 2014 02:26:35 UTC 2014 年 2 月 24 日 (月) 11 時 26 分 35 秒 (日本時間)
2000Lionel DebrouxJanuary 6, 2018 16:04:41 UTC 2018 年 1 月 7 日 (日) 1 時 4 分 41 秒 (日本時間)
3000Lionel DebrouxJanuary 8, 2018 07:26:34 UTC 2018 年 1 月 8 日 (月) 16 時 26 分 34 秒 (日本時間)
6000Lionel DebrouxJanuary 12, 2018 07:34:01 UTC 2018 年 1 月 12 日 (金) 16 時 34 分 1 秒 (日本時間)

52×10232+119

c233

name 名前matsui
date 日付February 14, 2014 07:53:59 UTC 2014 年 2 月 14 日 (金) 16 時 53 分 59 秒 (日本時間)
composite number 合成数
57777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<233>
prime factors 素因数
125931928379174645070213425065084287155258117895143595135392299638827675480705463286836904579166802850467177242927<114>
458801659923858397677545338933630739922187797034500658702041751650680196908359394053459152301903866609092378431597281277<120>
factorization results 素因数分解の結果
N=57777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
  ( 233 digits)
SNFS difficulty: 235 digits.
Divisors found:
 r1=125931928379174645070213425065084287155258117895143595135392299638827675480705463286836904579166802850467177242927 (pp114)
 r2=458801659923858397677545338933630739922187797034500658702041751650680196908359394053459152301903866609092378431597281277 (pp120)
Version: Msieve v. 1.52 (SVN Unversioned directory)
Total time:
Scaled time: 237.76 units (timescale=2.031).
Factorization parameters were as follows:
n: 57777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
m: 1000000000000000000000000000000000000000
deg: 6
c6: 13
c0: 275
skew: 1.66
# Murphy_E = 7.924e-13
type: snfs
lss: 1
rlim: 58000000
alim: 58000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
#qintsize: 320000
Factor base limits: 58000000/58000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved rational special-q in [29000000, 60300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 7548869 x 7549095
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,235.000,6,0,0,0,0,0,0,0,0,58000000,58000000,30,30,60,60,2.7,2.7,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e60--
4511e62750 / 4475850Serge BatalovNovember 8, 2013 17:16:25 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 25 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:10 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 10 秒 (日本時間)
1500Dmitry DomanovJanuary 13, 2014 11:29:46 UTC 2014 年 1 月 13 日 (月) 20 時 29 分 46 秒 (日本時間)

52×10233+119

c199

name 名前Cyp
date 日付January 6, 2014 12:13:02 UTC 2014 年 1 月 6 日 (月) 21 時 13 分 2 秒 (日本時間)
composite number 合成数
1825318096613506080853748841262259628761068895138606116909958004619608157606169400861616319976281392520498916087429136762905341619649679750212510605391064576861600271231629042926448958504157233500143<199>
prime factors 素因数
1372047695181225400118479094969<31>
composite cofactor 合成数の残り
1330360528299572677618052885221634269836368354116701361550327953704733618127403842417410815988933599455804706807929515064559253170900171522844055897438933855832497321447<169>
factorization results 素因数分解の結果
Run 73 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2206938921
Step 1 took 18728ms
Step 2 took 6110ms
********** Factor found in step 2: 1372047695181225400118479094969
Found probable prime factor of 31 digits: 1372047695181225400118479094969
Composite cofactor 1330360528299572677618052885221634269836368354116701361550327953704733618127403842417410815988933599455804706807929515064559253170900171522844055897438933855832497321447 has 169 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c169

name 名前Cyp
date 日付January 28, 2014 06:34:20 UTC 2014 年 1 月 28 日 (火) 15 時 34 分 20 秒 (日本時間)
composite number 合成数
1330360528299572677618052885221634269836368354116701361550327953704733618127403842417410815988933599455804706807929515064559253170900171522844055897438933855832497321447<169>
prime factors 素因数
36704445440541775088148786566268319737425921<44>
36245215322886401928199908944637966961119128179995861406962344373175034540285215630327583947883368633693884024328162578540007<125>
factorization results 素因数分解の結果
Run 12 out of 39:
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=521930367
Step 1 took 192640ms
Step 2 took 51108ms
********** Factor found in step 2: 36704445440541775088148786566268319737425921
Found probable prime factor of 44 digits: 36704445440541775088148786566268319737425921
Probable prime cofactor 36245215322886401928199908944637966961119128179995861406962344373175034540285215630327583947883368633693884024328162578540007 has 125 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e6590 / 2204290CypJanuary 6, 2014 12:13:01 UTC 2014 年 1 月 6 日 (月) 21 時 13 分 1 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:09 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 9 秒 (日本時間)
4511e60 / 4303--
5043e612 / 7530CypJanuary 28, 2014 06:34:19 UTC 2014 年 1 月 28 日 (火) 15 時 34 分 19 秒 (日本時間)

52×10235+119

c197

composite cofactor 合成数の残り
25737918151211392359539885389829937973671817694632180799457396001848462364023402292660623320298164405510322221248288672088232682893259800794954951404315296095056517576695114096799982334994208942499<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e63390290CypJanuary 4, 2014 22:14:27 UTC 2014 年 1 月 5 日 (日) 7 時 14 分 27 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:09 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 9 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:05:42 UTC 2014 年 2 月 13 日 (木) 7 時 5 分 42 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:38 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 38 秒 (日本時間)

52×10236+119

c218

composite cofactor 合成数の残り
36525102550640161122413661742457745736772032516998181663170823144081692560312562473257067515826630062131929006999303051469581220455234338641894446685191376324569953421796783943500862379117051269566671095100246740583173<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 2, 2014 06:38:14 UTC 2014 年 1 月 2 日 (木) 15 時 38 分 14 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:10 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 10 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:05:51 UTC 2014 年 2 月 13 日 (木) 7 時 5 分 51 秒 (日本時間)
4511e6300 / 3876Serge BatalovMay 27, 2014 00:33:40 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 40 秒 (日本時間)
5043e639 / 7406CypJanuary 28, 2014 02:49:21 UTC 2014 年 1 月 28 日 (火) 11 時 49 分 21 秒 (日本時間)

52×10237+119

c188

name 名前Dmitry Domanov
date 日付February 11, 2014 05:26:47 UTC 2014 年 2 月 11 日 (火) 14 時 26 分 47 秒 (日本時間)
composite number 合成数
58457354564787173874472486843918345271843026398458263136267608221149654910731363533231869130763348094684024537671397879191174384313520948282258109542405641491782610902849548005574504562199<188>
prime factors 素因数
5753149064745891198989615947089701441<37>
composite cofactor 合成数の残り
10160931675315309432128418711986718074103687364388225049818369032657171040098807664788182638963763742976779155856938333411336702387835130043874287166039<152>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=977350475
Step 1 took 23356ms
Step 2 took 8802ms
********** Factor found in step 2: 5753149064745891198989615947089701441
Found probable prime factor of 37 digits: 5753149064745891198989615947089701441

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 1, 2014 19:12:13 UTC 2014 年 1 月 2 日 (木) 4 時 12 分 13 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:11 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 11 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:06:09 UTC 2014 年 2 月 13 日 (木) 7 時 6 分 9 秒 (日本時間)
4511e6401567KTakahashiFebruary 25, 2014 01:31:48 UTC 2014 年 2 月 25 日 (火) 10 時 31 分 48 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:20 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 20 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:40 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 40 秒 (日本時間)
2748Ignacio SantosMarch 12, 2016 10:54:37 UTC 2016 年 3 月 12 日 (土) 19 時 54 分 37 秒 (日本時間)

52×10240+119

c225

composite cofactor 合成数の残り
158950296068929105330588647893182437055580211623710200012009608597683107831424737947530669415768592841415651468701325526315310555038066276430477892458311730557041025370189932374864939385515910467842467857379315233977763946907<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:24:43 UTC 2014 年 1 月 7 日 (火) 5 時 24 分 43 秒 (日本時間)
403e63100300Serge BatalovJanuary 9, 2014 04:50:11 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 11 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:06:20 UTC 2014 年 2 月 13 日 (木) 7 時 6 分 20 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:38 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 38 秒 (日本時間)

52×10241+119

c202

name 名前Serge Batalov
date 日付January 9, 2014 09:51:59 UTC 2014 年 1 月 9 日 (木) 18 時 51 分 59 秒 (日本時間)
composite number 合成数
3141190176089399316933812830829836179408536534644534717712837942927760084160283743925945031589392071822911686833500993555356836802495670342005210847714519468271466291518008237925719783732132546445821261<202>
prime factors 素因数
7911467588349252138006119578902255383<37>
397042665094810386180122538958092142810095312387579631692478155065900034608485199904953449473845374261759560466605011077816378257177952003142197905949249580156798267<165>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=59325001
Step 1 took 18510ms
Step 2 took 7499ms
********** Factor found in step 2: 7911467588349252138006119578902255383
Found probable prime factor of 37 digits: 7911467588349252138006119578902255383
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:24:44 UTC 2014 年 1 月 7 日 (火) 5 時 24 分 44 秒 (日本時間)
403e6300 / 2100Serge BatalovJanuary 9, 2014 04:50:12 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 12 秒 (日本時間)

52×10243+119

c172

name 名前Cyp
date 日付January 5, 2014 02:11:51 UTC 2014 年 1 月 5 日 (日) 11 時 11 分 51 秒 (日本時間)
composite number 合成数
3346560423465191888424326532772326759225241774688783943662893003390714712067056561429907415116537509324707183980500523355867609241021776513607580782961804230941267964972281<172>
prime factors 素因数
1218394772319470152748441497<28>
48416754126063754407055417174621<32>
10314576188883847776865617157358041<35>
5500011338941160009042571168024723400109693518686802705085584368921845792243293<79>
factorization results 素因数分解の結果
Run 2 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4285196085
Step 1 took 13513ms
Step 2 took 5129ms
********** Factor found in step 2: 1218394772319470152748441497
Found probable prime factor of 28 digits: 1218394772319470152748441497
Composite cofactor 2746696308532506079387433896250382517466882214656546022494692422341680286513071555784884356077844233811550124853636747816349550396260337969919073 has 145 digits
--
Run 4 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3461248588
Step 1 took 11399ms
Step 2 took 4365ms
********** Factor found in step 2: 48416754126063754407055417174621
Found probable prime factor of 32 digits: 48416754126063754407055417174621
Composite cofactor 56730285995233658957027199897506815271353572063260280583147766427872626783932836512237591591873566528278581869013 has 113 digits
--
Run 238 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1360290161
Step 1 took 7752ms
Step 2 took 3516ms
********** Factor found in step 2: 10314576188883847776865617157358041
Found probable prime factor of 35 digits: 10314576188883847776865617157358041
Probable prime cofactor 5500011338941160009042571168024723400109693518686802705085584368921845792243293 has 79 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 236Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e6238 / 2318CypJanuary 5, 2014 02:11:50 UTC 2014 年 1 月 5 日 (日) 11 時 11 分 50 秒 (日本時間)

52×10244+119

c200

composite cofactor 合成数の残り
37610585345284753747705791527168087819538882097349241957396278902629536867269216033114394229047626857509886124669184709790745109731067314992075563083970244890025066741779116665710761433268172748787243<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e63390290CypJanuary 6, 2014 17:53:15 UTC 2014 年 1 月 7 日 (火) 2 時 53 分 15 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:13 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 13 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:06:30 UTC 2014 年 2 月 13 日 (木) 7 時 6 分 30 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:39 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 39 秒 (日本時間)

52×10245+119

c221

composite cofactor 合成数の残り
37909107009961964728524214966362776306183930127669155924799605543969789752770199078937567137354425936638008745703328645070401569180359644286849998700086162544148408336574356239892569012045461077084476073838500885202587529<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:24:46 UTC 2014 年 1 月 7 日 (火) 5 時 24 分 46 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 04:50:13 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 13 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:06:40 UTC 2014 年 2 月 13 日 (木) 7 時 6 分 40 秒 (日本時間)
4511e6387 / 404087CypMarch 10, 2014 06:03:33 UTC 2014 年 3 月 10 日 (月) 15 時 3 分 33 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:41 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 41 秒 (日本時間)

52×10246+119

c230

name 名前funecm2017
date 日付November 1, 2017 06:34:34 UTC 2017 年 11 月 1 日 (水) 15 時 34 分 34 秒 (日本時間)
composite number 合成数
68048786062214478469218668994018055669526980242453547559171263711276158032268303309020968416265854862611637394409172500439894855913620105666975824826219068165435329048574429632381845191827800361219414933427569218654888877675993473<230>
prime factors 素因数
2875346089898376501403929557115495946676931705069007<52>
composite cofactor 合成数の残り
23666294051099612175553719415465240274530286448304318716082751524302213245421183733989850244368881350937710509336289079138775690840645491197135578954400531344510723459166224414639<179>
factorization results 素因数分解の結果
68048786062214478469218668994018055669526980242453547559171263711276158032268303309020968416265854862611637394409172500439894855913620105666975824826219068165435329048574429632381845191827800361219414933427569218654888877675993473 <230>

=

2875346089898376501403929557115495946676931705069007 <52>

*

23666294051099612175553719415465240274530286448304318716082751524302213245421183733989850244368881350937710509336289079138775690840645491197135578954400531344510723459166224414639 <179>



Input number: 68048786062214478469218668994018055669526980242453547559171263711276158032268303309020968416265854862611637394409172500439894855913620105666975824826219068165435329048574429632381845191827800361219414933427569218654888877675993473      digits: 230
B1=43000000
B2=4300000000
elliptic curves: 10000
window size: 4
threads = 8

Stage1 time: 949.068464 seconds
Stage2 time: 399.379882 seconds
Stage2 gcd: -7467219089999372849
total time: 1348.448 seconds
X=13882869534183471460639667254862388322113846682910143997505045533869375425444533543187108820272327128019546771614616096172082846965148621698547055048441053099174679394904125038319356207556138679170181202358698740604777679389451120
Y=22739854767143042872965798673165426962622338151013274293707291861062579357572560790438449001243511329491345349242939323108440506063261456532703674699650790801101661841822658112618649502653692851846588126674305089178358904385935804
--------------------------------------------------
@ probable prime factor found: 2875346089898376501403929557115495946676931705069007 digits: 52 cofactor: 23666294051099612175553719415465240274530286448304318716082751524302213245421183733989850244368881350937710509336289079138775690840645491197135578954400531344510723459166224414639
software ソフトウェア
lËoS`f*e'fn×í¸§¯ÈfÒg\W_ECM×í°éà
execution environment 実行環境
UO‰nVPS 16G×éó

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e63390290CypJanuary 3, 2014 03:54:19 UTC 2014 年 1 月 3 日 (金) 12 時 54 分 19 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:14 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 14 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:06:49 UTC 2014 年 2 月 13 日 (木) 7 時 6 分 49 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:39 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 39 秒 (日本時間)

52×10247+119

c191

name 名前Serge Batalov
date 日付May 18, 2014 23:40:21 UTC 2014 年 5 月 19 日 (月) 8 時 40 分 21 秒 (日本時間)
composite number 合成数
14155830067767956340868439634914087494450420204208854677642606719336266881032056804377094416490864739369967608662438498432459788730179070976845078029740892027284184708610576411208013372263041<191>
prime factors 素因数
2088754693621989465249446391748630815047<40>
composite cofactor 合成数の残り
6777162541390221851121201261741524279119358481004648365031742906161327940532711752793872302730729956591216278460594715631192027121549234428154991155703<151>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1721301605
Step 1 took 50969ms
Step 2 took 25158ms
********** Factor found in step 2: 2088754693621989465249446391748630815047
Found probable prime factor of 40 digits: 2088754693621989465249446391748630815047
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 1, 2014 22:54:39 UTC 2014 年 1 月 2 日 (木) 7 時 54 分 39 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:15 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 15 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:06:59 UTC 2014 年 2 月 13 日 (木) 7 時 6 分 59 秒 (日本時間)
800Serge BatalovMay 19, 2014 18:16:36 UTC 2014 年 5 月 20 日 (火) 3 時 16 分 36 秒 (日本時間)
4511e63836300Serge BatalovMay 19, 2014 18:16:36 UTC 2014 年 5 月 20 日 (火) 3 時 16 分 36 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:17 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 17 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:41 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 41 秒 (日本時間)
2336Ignacio SantosFebruary 21, 2016 22:11:41 UTC 2016 年 2 月 22 日 (月) 7 時 11 分 41 秒 (日本時間)

52×10248+119

c196

name 名前Serge Batalov
date 日付January 9, 2014 07:48:53 UTC 2014 年 1 月 9 日 (木) 16 時 48 分 53 秒 (日本時間)
composite number 合成数
2255557592208015289030393358668412870787917490643311673052887192102352625338326376305468811428184017346942465222765316565511476147184430125105589135719553472827819853387838996935944935085334620077<196>
prime factors 素因数
12329784952596228695492235864734771<35>
composite cofactor 合成数の残り
182935679809490304831278909969900309022680381203572064977134501239603369779611707343504457513991941678076719982908611433765935429589225840357182516342026978045087<162>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4036999429
Step 1 took 17450ms
Step 2 took 6795ms
********** Factor found in step 2: 12329784952596228695492235864734771
Found probable prime factor of 35 digits: 12329784952596228695492235864734771
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 5, 2014 18:45:33 UTC 2014 年 1 月 6 日 (月) 3 時 45 分 33 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:15 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 15 秒 (日本時間)
4511e6690230Ignacio SantosFebruary 8, 2014 13:55:54 UTC 2014 年 2 月 8 日 (土) 22 時 55 分 54 秒 (日本時間)
230Ignacio SantosFebruary 8, 2014 17:39:16 UTC 2014 年 2 月 9 日 (日) 2 時 39 分 16 秒 (日本時間)
230Ignacio SantosFebruary 8, 2014 21:45:59 UTC 2014 年 2 月 9 日 (日) 6 時 45 分 59 秒 (日本時間)
5043e61200 / 7376Erik BrangerFebruary 28, 2014 15:05:48 UTC 2014 年 3 月 1 日 (土) 0 時 5 分 48 秒 (日本時間)

52×10249+119

c206

name 名前Serge Batalov
date 日付May 27, 2014 01:18:07 UTC 2014 年 5 月 27 日 (火) 10 時 18 分 7 秒 (日本時間)
composite number 合成数
35920311868999631077630044488430576145433008616440010270851824453485238359827420455732920352398034195687356396898149782278142251134193559887988823922641731321422813463581473297950808310520209481442597842819<206>
prime factors 素因数
863633006474354310890908743342074176816999<42>
composite cofactor 合成数の残り
41592101737332440858001606035023250737115526224534204414942103505716376322197962740538884976625972143435763666684218435241312152539626242319132955003381323184034181<164>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=4017832722
Step 1 took 59271ms
********** Factor found in step 1: 863633006474354310890908743342074176816999
Found probable prime factor of 42 digits: 863633006474354310890908743342074176816999
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 5, 2014 18:16:18 UTC 2014 年 1 月 6 日 (月) 3 時 16 分 18 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:50:16 UTC 2014 年 1 月 9 日 (木) 13 時 50 分 16 秒 (日本時間)
1500Dmitry DomanovFebruary 12, 2014 22:07:15 UTC 2014 年 2 月 13 日 (木) 7 時 7 分 15 秒 (日本時間)
4511e6300Serge BatalovMay 27, 2014 00:33:42 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 42 秒 (日本時間)
5043e639 / 3019CypJanuary 30, 2014 15:57:32 UTC 2014 年 1 月 31 日 (金) 0 時 57 分 32 秒 (日本時間)
5511e71820 / 17720900Serge BatalovJune 5, 2014 01:56:50 UTC 2014 年 6 月 5 日 (木) 10 時 56 分 50 秒 (日本時間)
920Serge BatalovJune 5, 2014 15:28:27 UTC 2014 年 6 月 6 日 (金) 0 時 28 分 27 秒 (日本時間)

52×10250+119

c171

composite cofactor 合成数の残り
568042766876714011894112547703981109095049391577675148124331188986023248585397674896347193825200736481735569454703779837796108309460144583077219836015250188175613426259427<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 17, 2013 12:00:00 UTC 2013 年 10 月 17 日 (木) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 22, 2013 18:51:56 UTC 2013 年 10 月 23 日 (水) 3 時 51 分 56 秒 (日本時間)
403e6110Ignacio SantosOctober 22, 2013 18:51:56 UTC 2013 年 10 月 23 日 (水) 3 時 51 分 56 秒 (日本時間)
4511e6174232Ignacio SantosOctober 22, 2013 18:51:56 UTC 2013 年 10 月 23 日 (水) 3 時 51 分 56 秒 (日本時間)
230Ignacio SantosOctober 28, 2013 20:02:48 UTC 2013 年 10 月 29 日 (火) 5 時 2 分 48 秒 (日本時間)
230Ignacio SantosOctober 31, 2013 22:22:59 UTC 2013 年 11 月 1 日 (金) 7 時 22 分 59 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:13:29 UTC 2013 年 11 月 9 日 (土) 2 時 13 分 29 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:06 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 6 秒 (日本時間)
5043e61200 / 7156400Dmitry DomanovJanuary 13, 2014 11:29:16 UTC 2014 年 1 月 13 日 (月) 20 時 29 分 16 秒 (日本時間)
800Erik BrangerFebruary 21, 2014 08:19:18 UTC 2014 年 2 月 21 日 (金) 17 時 19 分 18 秒 (日本時間)