Table of contents 目次

7×10113-2779

c96

name 名前KTakahashi
date 日付January 8, 2015 13:41:29 UTC 2015 年 1 月 8 日 (木) 22 時 41 分 29 秒 (日本時間)
composite number 合成数
223900731756546321888388483562761122423959009891625334867883257097077924190808477180560202596801<96>
prime factors 素因数
9181170397724814227882069881627<31>
24386948728457448155057041187567744203609434382748194237890170963<65>
factorization results 素因数分解の結果
Number: 77747_113
N=223900731756546321888388483562761122423959009891625334867883257097077924190808477180560202596801
  ( 96 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=9181170397724814227882069881627 (pp31)
 r2=24386948728457448155057041187567744203609434382748194237890170963 (pp65)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.76 hours.
Scaled time: 3.68 units (timescale=2.087).
Factorization parameters were as follows:
n: 223900731756546321888388483562761122423959009891625334867883257097077924190808477180560202596801
m: 20000000000000000000000
c5: 875
c0: -1108
skew: 1.05
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 98418 x 98645
Total sieving time: 1.71 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,114.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.76 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10114-2779

c102

name 名前KTakahashi
date 日付January 8, 2015 13:44:05 UTC 2015 年 1 月 8 日 (木) 22 時 44 分 5 秒 (日本時間)
composite number 合成数
464178667265831215500045879148359057455004178167275369966657994555143684578009597317798800296254411269<102>
prime factors 素因数
6325964806998739486765054548551622763<37>
73376738794418605726276431235635111294736867231608330325890544463<65>
factorization results 素因数分解の結果
Number: 77747_114
N=464178667265831215500045879148359057455004178167275369966657994555143684578009597317798800296254411269
  ( 102 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=6325964806998739486765054548551622763 (pp37)
 r2=73376738794418605726276431235635111294736867231608330325890544463 (pp65)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.05 hours.
Scaled time: 1.76 units (timescale=1.674).
Factorization parameters were as follows:
n: 464178667265831215500045879148359057455004178167275369966657994555143684578009597317798800296254411269
m: 10000000000000000000000000000
c4: 700
c0: -277
skew: 0.79
type: snfs
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [225000, 605001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 70317 x 70544
Total sieving time: 1.03 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,114.000,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 1.05 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10125-2779

c104

name 名前KTakahashi
date 日付January 8, 2015 14:19:40 UTC 2015 年 1 月 8 日 (木) 23 時 19 分 40 秒 (日本時間)
composite number 合成数
41049131653203251830276356848187394936867322709748386881759069089143083739367430321439078701213348435623<104>
prime factors 素因数
6371775014287699905968507414378950361009622989<46>
6442338525945604212155334248728266518471519086612113802307<58>
factorization results 素因数分解の結果
Number: 77747_125
N=41049131653203251830276356848187394936867322709748386881759069089143083739367430321439078701213348435623
  ( 104 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=6371775014287699905968507414378950361009622989 (pp46)
 r2=6442338525945604212155334248728266518471519086612113802307 (pp58)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.25 hours.
Scaled time: 4.67 units (timescale=2.075).
Factorization parameters were as follows:
n: 41049131653203251830276356848187394936867322709748386881759069089143083739367430321439078701213348435623
m: 10000000000000000000000000
c5: 7
c0: -277
skew: 2.09
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 138664 x 138912
Total sieving time: 2.17 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,125.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.25 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 14:19:07 UTC 2015 年 1 月 8 日 (木) 23 時 19 分 7 秒 (日本時間)

7×10126-2779

c123

name 名前KTakahashi
date 日付January 8, 2015 14:29:06 UTC 2015 年 1 月 8 日 (木) 23 時 29 分 6 秒 (日本時間)
composite number 合成数
183741501955534556526760637320523925768433209964039163188702522508333989552983174528178071764180906633068220594797490616059<123>
prime factors 素因数
97052797838488268509287631055757147816871<41>
1893211798605852375304395529054887483214396214261172777971043271607763634873330829<82>
factorization results 素因数分解の結果
Number: 77747_126
N=183741501955534556526760637320523925768433209964039163188702522508333989552983174528178071764180906633068220594797490616059
  ( 123 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=97052797838488268509287631055757147816871 (pp41)
 r2=1893211798605852375304395529054887483214396214261172777971043271607763634873330829 (pp82)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 3.08 hours.
Scaled time: 5.37 units (timescale=1.742).
Factorization parameters were as follows:
n: 183741501955534556526760637320523925768433209964039163188702522508333989552983174528178071764180906633068220594797490616059
m: 10000000000000000000000000
c5: 70
c0: -277
skew: 1.32
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 147204 x 147452
Total sieving time: 2.92 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,126.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 3.08 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 14:26:26 UTC 2015 年 1 月 8 日 (木) 23 時 26 分 26 秒 (日本時間)

7×10128-2779

c125

name 名前KTakahashi
date 日付January 8, 2015 14:44:16 UTC 2015 年 1 月 8 日 (木) 23 時 44 分 16 秒 (日本時間)
composite number 合成数
36395778089741589975562834711173503873550668122497790256330265689180055113606821608693391566578276919877294233868871210939531<125>
prime factors 素因数
12842223830196329330571499185434075290984807<44>
2834071308129908108979424076516635505072603442982503604735576461918452227124668733<82>
factorization results 素因数分解の結果
Number: 77747_128
N=36395778089741589975562834711173503873550668122497790256330265689180055113606821608693391566578276919877294233868871210939531
  ( 125 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=12842223830196329330571499185434075290984807 (pp44)
 r2=2834071308129908108979424076516635505072603442982503604735576461918452227124668733 (pp82)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 3.95 hours.
Scaled time: 6.88 units (timescale=1.742).
Factorization parameters were as follows:
n: 36395778089741589975562834711173503873550668122497790256330265689180055113606821608693391566578276919877294233868871210939531
m: 20000000000000000000000000
c5: 875
c0: -1108
skew: 1.05
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 1150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 130196 x 130422
Total sieving time: 3.85 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,129.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 3.95 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 14:43:16 UTC 2015 年 1 月 8 日 (木) 23 時 43 分 16 秒 (日本時間)

7×10130-2779

c113

name 名前KTakahashi
date 日付January 8, 2015 14:55:51 UTC 2015 年 1 月 8 日 (木) 23 時 55 分 51 秒 (日本時間)
composite number 合成数
30569367723577238232348759762644355067465876474152959214493237477762566105093480169830006426402430765810583506549<113>
prime factors 素因数
196051847159701462298144899132001686638115790603<48>
155924915610082475788681287975208085393141138495345063775970195583<66>
factorization results 素因数分解の結果
Number: 77747_130
N=30569367723577238232348759762644355067465876474152959214493237477762566105093480169830006426402430765810583506549
  ( 113 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=196051847159701462298144899132001686638115790603 (pp48)
 r2=155924915610082475788681287975208085393141138495345063775970195583 (pp66)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 3.59 hours.
Scaled time: 6.20 units (timescale=1.728).
Factorization parameters were as follows:
n: 30569367723577238232348759762644355067465876474152959214493237477762566105093480169830006426402430765810583506549
m: 100000000000000000000000000
c5: 7
c0: -277
skew: 2.09
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 1000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 122976 x 123205
Total sieving time: 3.52 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,130.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 3.59 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 14:55:23 UTC 2015 年 1 月 8 日 (木) 23 時 55 分 23 秒 (日本時間)

7×10132-2779

c103

name 名前KTakahashi
date 日付January 8, 2015 15:24:09 UTC 2015 年 1 月 9 日 (金) 0 時 24 分 9 秒 (日本時間)
composite number 合成数
1906784827904130858164044474512463338393895309136251538843619790360423502833711613130415501342512372361<103>
prime factors 素因数
197771724555646654930586008899233799357480352065839<51>
9641341967302421073047726769018594658242659965753799<52>
factorization results 素因数分解の結果
Number: 77747_132
N=1906784827904130858164044474512463338393895309136251538843619790360423502833711613130415501342512372361
  ( 103 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=197771724555646654930586008899233799357480352065839 (pp51)
 r2=9641341967302421073047726769018594658242659965753799 (pp52)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 5.62 hours.
Scaled time: 9.80 units (timescale=1.742).
Factorization parameters were as follows:
n: 1906784827904130858164044474512463338393895309136251538843619790360423502833711613130415501342512372361
m: 100000000000000000000000000
c5: 700
c0: -277
skew: 0.83
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 1500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 146047 x 146274
Total sieving time: 5.53 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,132.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 5.62 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:23:40 UTC 2015 年 1 月 9 日 (金) 0 時 23 分 40 秒 (日本時間)

7×10133-2779

c106

name 名前KTakahashi
date 日付January 8, 2015 15:24:51 UTC 2015 年 1 月 9 日 (金) 0 時 24 分 51 秒 (日本時間)
composite number 合成数
1275639358880345812747256827028671750156045188361915063781548584766851138138462868070477401698385843994801<106>
prime factors 素因数
36469414604803370370896601610864283<35>
34978333836823690621349536718930216073892597814790337710057752962704547<71>
factorization results 素因数分解の結果
Number: 77747_133
N=1275639358880345812747256827028671750156045188361915063781548584766851138138462868070477401698385843994801
  ( 106 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=36469414604803370370896601610864283 (pp35)
 r2=34978333836823690621349536718930216073892597814790337710057752962704547 (pp71)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 6.52 hours.
Scaled time: 13.48 units (timescale=2.068).
Factorization parameters were as follows:
n: 1275639358880345812747256827028671750156045188361915063781548584766851138138462868070477401698385843994801
m: 200000000000000000000000000
c5: 875
c0: -1108
skew: 1.05
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [500000, 1775001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 156185 x 156418
Total sieving time: 6.41 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,134.000,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 6.52 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:24:22 UTC 2015 年 1 月 9 日 (金) 0 時 24 分 22 秒 (日本時間)

7×10134-2779

c107

name 名前KTakahashi
date 日付January 8, 2015 15:25:45 UTC 2015 年 1 月 9 日 (金) 0 時 25 分 45 秒 (日本時間)
composite number 合成数
94217546126018877249450672973237493135987161960350675638878313471749368305761925967400613809875206055235129<107>
prime factors 素因数
1164252673372156392776118987893132546383<40>
80925342308320381044822830839480602404278721153203034734376646211063<68>
factorization results 素因数分解の結果
Input number is 94217546126018877249450672973237493135987161960350675638878313471749368305761925967400613809875206055235129 (107 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4168852299
Step 1 took 2590ms
Step 2 took 1669ms
********** Factor found in step 2: 1164252673372156392776118987893132546383
Found probable prime factor of 40 digits: 1164252673372156392776118987893132546383
Probable prime cofactor 80925342308320381044822830839480602404278721153203034734376646211063 has 68 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10140-2779

c120

name 名前KTakahashi
date 日付January 8, 2015 15:26:38 UTC 2015 年 1 月 9 日 (金) 0 時 26 分 38 秒 (日本時間)
composite number 合成数
122040845627174501481272567796260403236444850322481745618412910490556737145839329034217071334471343439634800051093364859<120>
prime factors 素因数
152589235877973978912860465854969519<36>
799799834667046193034509062995886977409432913306700520008808669905110579555492111861<84>
factorization results 素因数分解の結果
Input number is 122040845627174501481272567796260403236444850322481745618412910490556737145839329034217071334471343439634800051093364859 (120 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4175604355
Step 1 took 3120ms
Step 2 took 1935ms
********** Factor found in step 2: 152589235877973978912860465854969519
Found probable prime factor of 36 digits: 152589235877973978912860465854969519
Probable prime cofactor 799799834667046193034509062995886977409432913306700520008808669905110579555492111861 has 84 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10142-2779

c128

name 名前Jo Yeong Uk
date 日付January 15, 2015 14:07:49 UTC 2015 年 1 月 15 日 (木) 23 時 7 分 49 秒 (日本時間)
composite number 合成数
39721249863441294693159506931140346331154075698171697872464512639105551013986098437993682229675205255147152178963491481509061233<128>
prime factors 素因数
137461487000257790558710352651139928802502141642307<51>
288962754079379359713596736308149446277712204229827002659680000378392826428219<78>
factorization results 素因数分解の結果
Number: 77747_142
N=39721249863441294693159506931140346331154075698171697872464512639105551013986098437993682229675205255147152178963491481509061233
  ( 128 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=137461487000257790558710352651139928802502141642307
 r2=288962754079379359713596736308149446277712204229827002659680000378392826428219
Version: 
Total time: 3.38 hours.
Scaled time: 17.75 units (timescale=5.256).
Factorization parameters were as follows:
n: 39721249863441294693159506931140346331154075698171697872464512639105551013986098437993682229675205255147152178963491481509061233
m: 10000000000000000000000000000
deg: 5
c5: 700
c0: -277
skew: 0.83
# Murphy_E = 1.714e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [1100000, 2400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4487134
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 338388 x 338636
Total sieving time: 3.00 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,48,48,2.3,2.3,50000
total time: 3.38 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:27:22 UTC 2015 年 1 月 9 日 (金) 0 時 27 分 22 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:06:07 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 7 秒 (日本時間)

7×10143-2779

c137

name 名前Cyp
date 日付January 15, 2015 18:57:27 UTC 2015 年 1 月 16 日 (金) 3 時 57 分 27 秒 (日本時間)
composite number 合成数
14438374757958695151269924157898808898023842335752813044023780333246352438541459308400611518799248651729095414576376743895264359525762093<137>
prime factors 素因数
5887966568006552521134132516984469716632521754411<49>
2452183549480817494807687741369516068341472303795588042520995215603115495353905171232263<88>
factorization results 素因数分解の結果
01/15/15 18:46:56 v1.34.3, 
01/15/15 18:46:56 v1.34.3, ****************************
01/15/15 18:46:56 v1.34.3, Starting factorization of 14438374757958695151269924157898808898023842335752813044023780333246352438541459308400611518799248651729095414576376743895264359525762093
01/15/15 18:46:56 v1.34.3, using pretesting plan: none
01/15/15 18:46:56 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/15/15 18:46:56 v1.34.3, ****************************
01/15/15 18:46:56 v1.34.3, nfs: commencing nfs on c137: 14438374757958695151269924157898808898023842335752813044023780333246352438541459308400611518799248651729095414576376743895264359525762093
01/15/15 18:46:56 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/15/15 18:46:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 18:47:50 v1.34.3, nfs: commencing lattice sieving with 8 threads
[64 lines snipped]
01/15/15 19:49:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 19:50:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 19:51:39 v1.34.3, nfs: commencing msieve filtering
01/15/15 19:52:29 v1.34.3, nfs: commencing msieve linear algebra
01/15/15 19:55:15 v1.34.3, nfs: commencing msieve sqrt
01/15/15 19:57:25 v1.34.3, prp88 = 2452183549480817494807687741369516068341472303795588042520995215603115495353905171232263
01/15/15 19:57:25 v1.34.3, prp49 = 5887966568006552521134132516984469716632521754411
01/15/15 19:57:25 v1.34.3, NFS elapsed time = 4229.1128 seconds.
01/15/15 19:57:25 v1.34.3, 
01/15/15 19:57:25 v1.34.3, 
01/15/15 19:57:25 v1.34.3, Total factoring time = 4229.1136 seconds
--
Thu Jan 15 19:51:39 2015  
Thu Jan 15 19:51:39 2015  commencing relation filtering
Thu Jan 15 19:51:39 2015  estimated available RAM is 15987.3 MB
Thu Jan 15 19:51:39 2015  commencing duplicate removal, pass 1
Thu Jan 15 19:51:52 2015  found 726610 hash collisions in 4521098 relations
Thu Jan 15 19:51:56 2015  added 180282 free relations
Thu Jan 15 19:51:56 2015  commencing duplicate removal, pass 2
Thu Jan 15 19:51:59 2015  found 598211 duplicates and 4103169 unique relations
Thu Jan 15 19:51:59 2015  memory use: 20.6 MB
Thu Jan 15 19:51:59 2015  reading ideals above 100000
Thu Jan 15 19:51:59 2015  commencing singleton removal, initial pass
Thu Jan 15 19:52:17 2015  memory use: 94.1 MB
Thu Jan 15 19:52:17 2015  reading all ideals from disk
Thu Jan 15 19:52:17 2015  memory use: 133.0 MB
Thu Jan 15 19:52:17 2015  keeping 4612398 ideals with weight <= 200, target excess is 21907
Thu Jan 15 19:52:17 2015  commencing in-memory singleton removal
Thu Jan 15 19:52:17 2015  begin with 4103169 relations and 4612398 unique ideals
Thu Jan 15 19:52:18 2015  reduce to 1609607 relations and 1460554 ideals in 14 passes
Thu Jan 15 19:52:18 2015  max relations containing the same ideal: 110
Thu Jan 15 19:52:19 2015  removing 313094 relations and 251274 ideals in 61820 cliques
Thu Jan 15 19:52:19 2015  commencing in-memory singleton removal
Thu Jan 15 19:52:19 2015  begin with 1296513 relations and 1460554 unique ideals
Thu Jan 15 19:52:19 2015  reduce to 1250659 relations and 1161227 ideals in 9 passes
Thu Jan 15 19:52:19 2015  max relations containing the same ideal: 91
Thu Jan 15 19:52:19 2015  removing 247622 relations and 185802 ideals in 61820 cliques
Thu Jan 15 19:52:20 2015  commencing in-memory singleton removal
Thu Jan 15 19:52:20 2015  begin with 1003037 relations and 1161227 unique ideals
Thu Jan 15 19:52:20 2015  reduce to 968661 relations and 939402 ideals in 7 passes
Thu Jan 15 19:52:20 2015  max relations containing the same ideal: 78
Thu Jan 15 19:52:20 2015  relations with 0 large ideals: 484
Thu Jan 15 19:52:20 2015  relations with 1 large ideals: 177
Thu Jan 15 19:52:20 2015  relations with 2 large ideals: 2268
Thu Jan 15 19:52:20 2015  relations with 3 large ideals: 18625
Thu Jan 15 19:52:20 2015  relations with 4 large ideals: 80148
Thu Jan 15 19:52:20 2015  relations with 5 large ideals: 194576
Thu Jan 15 19:52:20 2015  relations with 6 large ideals: 289247
Thu Jan 15 19:52:20 2015  relations with 7+ large ideals: 383136
Thu Jan 15 19:52:20 2015  commencing 2-way merge
Thu Jan 15 19:52:20 2015  reduce to 599967 relation sets and 570708 unique ideals
Thu Jan 15 19:52:20 2015  commencing full merge
Thu Jan 15 19:52:27 2015  memory use: 76.1 MB
Thu Jan 15 19:52:27 2015  found 303590 cycles, need 296908
Thu Jan 15 19:52:27 2015  weight of 296908 cycles is about 20898277 (70.39/cycle)
Thu Jan 15 19:52:27 2015  distribution of cycle lengths:
Thu Jan 15 19:52:27 2015  1 relations: 23376
Thu Jan 15 19:52:27 2015  2 relations: 29291
Thu Jan 15 19:52:27 2015  3 relations: 31160
Thu Jan 15 19:52:27 2015  4 relations: 30274
Thu Jan 15 19:52:27 2015  5 relations: 28780
Thu Jan 15 19:52:27 2015  6 relations: 26193
Thu Jan 15 19:52:27 2015  7 relations: 23866
Thu Jan 15 19:52:27 2015  8 relations: 21140
Thu Jan 15 19:52:27 2015  9 relations: 17748
Thu Jan 15 19:52:27 2015  10+ relations: 65080
Thu Jan 15 19:52:27 2015  heaviest cycle: 22 relations
Thu Jan 15 19:52:27 2015  commencing cycle optimization
Thu Jan 15 19:52:27 2015  start with 1909954 relations
Thu Jan 15 19:52:29 2015  pruned 56779 relations
Thu Jan 15 19:52:29 2015  memory use: 58.8 MB
Thu Jan 15 19:52:29 2015  distribution of cycle lengths:
Thu Jan 15 19:52:29 2015  1 relations: 23376
Thu Jan 15 19:52:29 2015  2 relations: 29900
Thu Jan 15 19:52:29 2015  3 relations: 32246
Thu Jan 15 19:52:29 2015  4 relations: 31275
Thu Jan 15 19:52:29 2015  5 relations: 29697
Thu Jan 15 19:52:29 2015  6 relations: 26986
Thu Jan 15 19:52:29 2015  7 relations: 24553
Thu Jan 15 19:52:29 2015  8 relations: 21427
Thu Jan 15 19:52:29 2015  9 relations: 17868
Thu Jan 15 19:52:29 2015  10+ relations: 59580
Thu Jan 15 19:52:29 2015  heaviest cycle: 21 relations
Thu Jan 15 19:52:29 2015  RelProcTime: 50
Thu Jan 15 19:52:29 2015  
Thu Jan 15 19:52:29 2015  commencing linear algebra
Thu Jan 15 19:52:29 2015  read 296908 cycles
Thu Jan 15 19:52:30 2015  cycles contain 931400 unique relations
Thu Jan 15 19:52:34 2015  read 931400 relations
Thu Jan 15 19:52:35 2015  using 20 quadratic characters above 67108710
Thu Jan 15 19:52:38 2015  building initial matrix
Thu Jan 15 19:52:43 2015  memory use: 112.0 MB
Thu Jan 15 19:52:43 2015  read 296908 cycles
Thu Jan 15 19:52:43 2015  matrix is 296731 x 296908 (88.5 MB) with weight 26617959 (89.65/col)
Thu Jan 15 19:52:43 2015  sparse part has weight 19925717 (67.11/col)
Thu Jan 15 19:52:44 2015  filtering completed in 2 passes
Thu Jan 15 19:52:44 2015  matrix is 296586 x 296764 (88.5 MB) with weight 26612440 (89.68/col)
Thu Jan 15 19:52:44 2015  sparse part has weight 19923463 (67.14/col)
Thu Jan 15 19:52:44 2015  matrix starts at (0, 0)
Thu Jan 15 19:52:45 2015  matrix is 296586 x 296764 (88.5 MB) with weight 26612440 (89.68/col)
Thu Jan 15 19:52:45 2015  sparse part has weight 19923463 (67.14/col)
Thu Jan 15 19:52:45 2015  saving the first 48 matrix rows for later
Thu Jan 15 19:52:45 2015  matrix includes 64 packed rows
Thu Jan 15 19:52:45 2015  matrix is 296538 x 296764 (83.5 MB) with weight 20973572 (70.67/col)
Thu Jan 15 19:52:45 2015  sparse part has weight 18924214 (63.77/col)
Thu Jan 15 19:52:45 2015  using block size 65536 for processor cache size 8192 kB
Thu Jan 15 19:52:45 2015  commencing Lanczos iteration (8 threads)
Thu Jan 15 19:52:45 2015  memory use: 80.0 MB
Thu Jan 15 19:52:52 2015  linear algebra at 4.1%, ETA 0h 2m
Thu Jan 15 19:55:14 2015  lanczos halted after 4689 iterations (dim = 296535)
Thu Jan 15 19:55:15 2015  recovered 35 nontrivial dependencies
Thu Jan 15 19:55:15 2015  BLanczosTime: 166
Thu Jan 15 19:55:15 2015  
Thu Jan 15 19:55:15 2015  commencing square root phase
Thu Jan 15 19:55:15 2015  reading relations for dependency 1
Thu Jan 15 19:55:15 2015  read 148493 cycles
Thu Jan 15 19:55:15 2015  cycles contain 464958 unique relations
Thu Jan 15 19:55:19 2015  read 464958 relations
Thu Jan 15 19:55:19 2015  multiplying 464958 relations
Thu Jan 15 19:55:29 2015  multiply complete, coefficients have about 15.06 million bits
Thu Jan 15 19:55:29 2015  initial square root is modulo 449135251
Thu Jan 15 19:55:41 2015  Newton iteration failed to converge
Thu Jan 15 19:55:41 2015  algebraic square root failed
Thu Jan 15 19:55:41 2015  reading relations for dependency 2
Thu Jan 15 19:55:41 2015  read 148128 cycles
Thu Jan 15 19:55:41 2015  cycles contain 464584 unique relations
Thu Jan 15 19:55:44 2015  read 464584 relations
Thu Jan 15 19:55:45 2015  multiplying 464584 relations
Thu Jan 15 19:55:54 2015  multiply complete, coefficients have about 15.05 million bits
Thu Jan 15 19:55:55 2015  initial square root is modulo 441727501
Thu Jan 15 19:56:06 2015  Newton iteration failed to converge
Thu Jan 15 19:56:06 2015  algebraic square root failed
Thu Jan 15 19:56:06 2015  reading relations for dependency 3
Thu Jan 15 19:56:06 2015  read 148307 cycles
Thu Jan 15 19:56:07 2015  cycles contain 465426 unique relations
Thu Jan 15 19:56:10 2015  read 465426 relations
Thu Jan 15 19:56:11 2015  multiplying 465426 relations
Thu Jan 15 19:56:20 2015  multiply complete, coefficients have about 15.07 million bits
Thu Jan 15 19:56:20 2015  initial square root is modulo 458089691
Thu Jan 15 19:56:32 2015  Newton iteration failed to converge
Thu Jan 15 19:56:32 2015  algebraic square root failed
Thu Jan 15 19:56:32 2015  reading relations for dependency 4
Thu Jan 15 19:56:32 2015  read 148005 cycles
Thu Jan 15 19:56:32 2015  cycles contain 464230 unique relations
Thu Jan 15 19:56:36 2015  read 464230 relations
Thu Jan 15 19:56:37 2015  multiplying 464230 relations
Thu Jan 15 19:56:46 2015  multiply complete, coefficients have about 15.04 million bits
Thu Jan 15 19:56:46 2015  initial square root is modulo 435023051
Thu Jan 15 19:57:00 2015  GCD is 1, no factor found
Thu Jan 15 19:57:00 2015  reading relations for dependency 5
Thu Jan 15 19:57:00 2015  read 147824 cycles
Thu Jan 15 19:57:00 2015  cycles contain 463770 unique relations
Thu Jan 15 19:57:04 2015  read 463770 relations
Thu Jan 15 19:57:05 2015  multiplying 463770 relations
Thu Jan 15 19:57:14 2015  multiply complete, coefficients have about 15.02 million bits
Thu Jan 15 19:57:14 2015  initial square root is modulo 425774051
Thu Jan 15 19:57:25 2015  sqrtTime: 130
--
n: 14438374757958695151269924157898808898023842335752813044023780333246352438541459308400611518799248651729095414576376743895264359525762093
m: 10000000000000000000000000000
deg: 5
c5: 7000
c0: -277
skew: 0.52
# Murphy_E = 1.595e-09
type: snfs
lss: 1
rlim: 1750000
alim: 1750000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:27:33 UTC 2015 年 1 月 9 日 (金) 0 時 27 分 33 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:06:08 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 8 秒 (日本時間)

7×10147-2779

c134

name 名前Cyp
date 日付January 16, 2015 09:13:53 UTC 2015 年 1 月 16 日 (金) 18 時 13 分 53 秒 (日本時間)
composite number 合成数
15712139257537085214283294834683553806040558785894916248879584381731250494973491939565485661065246332780929800534733518950936883686161<134>
prime factors 素因数
8476753712397582477792855410592380384741925029<46>
1853556183254147110015367998393869110808038163619736198746219534905197174713095902202109<88>
factorization results 素因数分解の結果
01/16/15 08:45:00 v1.34.3, 
01/16/15 08:45:00 v1.34.3, ****************************
01/16/15 08:45:00 v1.34.3, Starting factorization of 15712139257537085214283294834683553806040558785894916248879584381731250494973491939565485661065246332780929800534733518950936883686161
01/16/15 08:45:00 v1.34.3, using pretesting plan: none
01/16/15 08:45:00 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/16/15 08:45:00 v1.34.3, ****************************
01/16/15 08:45:00 v1.34.3, nfs: commencing nfs on c134: 15712139257537085214283294834683553806040558785894916248879584381731250494973491939565485661065246332780929800534733518950936883686161
01/16/15 08:45:00 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/16/15 08:45:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 08:45:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
[97 lines snipped]
01/16/15 10:01:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 10:02:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 10:03:01 v1.34.3, nfs: commencing msieve filtering
01/16/15 10:03:39 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 10:04:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
[2 lines snipped]
01/16/15 10:06:41 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 10:07:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 10:08:11 v1.34.3, nfs: commencing msieve filtering
01/16/15 10:09:04 v1.34.3, nfs: commencing msieve linear algebra
01/16/15 10:12:51 v1.34.3, nfs: commencing msieve sqrt
01/16/15 10:13:52 v1.34.3, prp46 = 8476753712397582477792855410592380384741925029
01/16/15 10:13:52 v1.34.3, prp88 = 1853556183254147110015367998393869110808038163619736198746219534905197174713095902202109
01/16/15 10:13:52 v1.34.3, NFS elapsed time = 5332.5938 seconds.
01/16/15 10:13:52 v1.34.3, 
01/16/15 10:13:52 v1.34.3, 
01/16/15 10:13:52 v1.34.3, Total factoring time = 5332.5945 seconds
--
Fri Jan 16 10:03:01 2015  
Fri Jan 16 10:03:01 2015  commencing relation filtering
Fri Jan 16 10:03:01 2015  estimated available RAM is 15987.3 MB
Fri Jan 16 10:03:01 2015  commencing duplicate removal, pass 1
Fri Jan 16 10:03:13 2015  found 748066 hash collisions in 4496589 relations
Fri Jan 16 10:03:17 2015  added 182421 free relations
Fri Jan 16 10:03:17 2015  commencing duplicate removal, pass 2
Fri Jan 16 10:03:20 2015  found 629210 duplicates and 4049800 unique relations
Fri Jan 16 10:03:20 2015  memory use: 20.6 MB
Fri Jan 16 10:03:20 2015  reading ideals above 100000
Fri Jan 16 10:03:20 2015  commencing singleton removal, initial pass
Fri Jan 16 10:03:37 2015  memory use: 94.1 MB
Fri Jan 16 10:03:37 2015  reading all ideals from disk
Fri Jan 16 10:03:37 2015  memory use: 133.5 MB
Fri Jan 16 10:03:37 2015  keeping 4731572 ideals with weight <= 200, target excess is 21521
Fri Jan 16 10:03:37 2015  commencing in-memory singleton removal
Fri Jan 16 10:03:37 2015  begin with 4049800 relations and 4731572 unique ideals
Fri Jan 16 10:03:39 2015  reduce to 1406976 relations and 1392443 ideals in 19 passes
Fri Jan 16 10:03:39 2015  max relations containing the same ideal: 100
Fri Jan 16 10:08:11 2015  
Fri Jan 16 10:08:11 2015  commencing relation filtering
Fri Jan 16 10:08:11 2015  estimated available RAM is 15987.3 MB
Fri Jan 16 10:08:11 2015  commencing duplicate removal, pass 1
Fri Jan 16 10:08:25 2015  found 826457 hash collisions in 4916824 relations
Fri Jan 16 10:08:29 2015  added 1352 free relations
Fri Jan 16 10:08:29 2015  commencing duplicate removal, pass 2
Fri Jan 16 10:08:32 2015  found 682585 duplicates and 4235591 unique relations
Fri Jan 16 10:08:32 2015  memory use: 20.6 MB
Fri Jan 16 10:08:32 2015  reading ideals above 100000
Fri Jan 16 10:08:32 2015  commencing singleton removal, initial pass
Fri Jan 16 10:08:50 2015  memory use: 94.1 MB
Fri Jan 16 10:08:50 2015  reading all ideals from disk
Fri Jan 16 10:08:50 2015  memory use: 139.7 MB
Fri Jan 16 10:08:50 2015  keeping 4823300 ideals with weight <= 200, target excess is 22502
Fri Jan 16 10:08:50 2015  commencing in-memory singleton removal
Fri Jan 16 10:08:50 2015  begin with 4235591 relations and 4823300 unique ideals
Fri Jan 16 10:08:51 2015  reduce to 1609858 relations and 1530398 ideals in 15 passes
Fri Jan 16 10:08:51 2015  max relations containing the same ideal: 104
Fri Jan 16 10:08:52 2015  removing 195970 relations and 169291 ideals in 26679 cliques
Fri Jan 16 10:08:52 2015  commencing in-memory singleton removal
Fri Jan 16 10:08:52 2015  begin with 1413888 relations and 1530398 unique ideals
Fri Jan 16 10:08:52 2015  reduce to 1395901 relations and 1342721 ideals in 8 passes
Fri Jan 16 10:08:52 2015  max relations containing the same ideal: 93
Fri Jan 16 10:08:52 2015  removing 148034 relations and 121355 ideals in 26679 cliques
Fri Jan 16 10:08:52 2015  commencing in-memory singleton removal
Fri Jan 16 10:08:52 2015  begin with 1247867 relations and 1342721 unique ideals
Fri Jan 16 10:08:53 2015  reduce to 1236452 relations and 1209737 ideals in 9 passes
Fri Jan 16 10:08:53 2015  max relations containing the same ideal: 86
Fri Jan 16 10:08:53 2015  relations with 0 large ideals: 520
Fri Jan 16 10:08:53 2015  relations with 1 large ideals: 131
Fri Jan 16 10:08:53 2015  relations with 2 large ideals: 1939
Fri Jan 16 10:08:53 2015  relations with 3 large ideals: 16998
Fri Jan 16 10:08:53 2015  relations with 4 large ideals: 80201
Fri Jan 16 10:08:53 2015  relations with 5 large ideals: 216636
Fri Jan 16 10:08:53 2015  relations with 6 large ideals: 357851
Fri Jan 16 10:08:53 2015  relations with 7+ large ideals: 562176
Fri Jan 16 10:08:53 2015  commencing 2-way merge
Fri Jan 16 10:08:53 2015  reduce to 756465 relation sets and 729750 unique ideals
Fri Jan 16 10:08:53 2015  commencing full merge
Fri Jan 16 10:09:01 2015  memory use: 95.4 MB
Fri Jan 16 10:09:01 2015  found 383376 cycles, need 379950
Fri Jan 16 10:09:01 2015  weight of 379950 cycles is about 26792071 (70.51/cycle)
Fri Jan 16 10:09:01 2015  distribution of cycle lengths:
Fri Jan 16 10:09:01 2015  1 relations: 37111
Fri Jan 16 10:09:01 2015  2 relations: 41433
Fri Jan 16 10:09:01 2015  3 relations: 41850
Fri Jan 16 10:09:01 2015  4 relations: 38785
Fri Jan 16 10:09:01 2015  5 relations: 35354
Fri Jan 16 10:09:01 2015  6 relations: 30884
Fri Jan 16 10:09:01 2015  7 relations: 27152
Fri Jan 16 10:09:01 2015  8 relations: 23437
Fri Jan 16 10:09:01 2015  9 relations: 20214
Fri Jan 16 10:09:01 2015  10+ relations: 83730
Fri Jan 16 10:09:01 2015  heaviest cycle: 24 relations
Fri Jan 16 10:09:01 2015  commencing cycle optimization
Fri Jan 16 10:09:02 2015  start with 2420245 relations
Fri Jan 16 10:09:04 2015  pruned 66366 relations
Fri Jan 16 10:09:04 2015  memory use: 75.5 MB
Fri Jan 16 10:09:04 2015  distribution of cycle lengths:
Fri Jan 16 10:09:04 2015  1 relations: 37111
Fri Jan 16 10:09:04 2015  2 relations: 42266
Fri Jan 16 10:09:04 2015  3 relations: 43314
Fri Jan 16 10:09:04 2015  4 relations: 39879
Fri Jan 16 10:09:04 2015  5 relations: 36250
Fri Jan 16 10:09:04 2015  6 relations: 31493
Fri Jan 16 10:09:04 2015  7 relations: 27614
Fri Jan 16 10:09:04 2015  8 relations: 23481
Fri Jan 16 10:09:04 2015  9 relations: 20256
Fri Jan 16 10:09:04 2015  10+ relations: 78286
Fri Jan 16 10:09:04 2015  heaviest cycle: 24 relations
Fri Jan 16 10:09:04 2015  RelProcTime: 53
Fri Jan 16 10:09:04 2015  
Fri Jan 16 10:09:04 2015  commencing linear algebra
Fri Jan 16 10:09:04 2015  read 379950 cycles
Fri Jan 16 10:09:05 2015  cycles contain 1212661 unique relations
Fri Jan 16 10:09:10 2015  read 1212661 relations
Fri Jan 16 10:09:11 2015  using 20 quadratic characters above 67108730
Fri Jan 16 10:09:14 2015  building initial matrix
Fri Jan 16 10:09:20 2015  memory use: 145.2 MB
Fri Jan 16 10:09:20 2015  read 379950 cycles
Fri Jan 16 10:09:20 2015  matrix is 379777 x 379950 (113.7 MB) with weight 33419066 (87.96/col)
Fri Jan 16 10:09:20 2015  sparse part has weight 25631631 (67.46/col)
Fri Jan 16 10:09:22 2015  filtering completed in 2 passes
Fri Jan 16 10:09:22 2015  matrix is 379658 x 379831 (113.7 MB) with weight 33415350 (87.97/col)
Fri Jan 16 10:09:22 2015  sparse part has weight 25630477 (67.48/col)
Fri Jan 16 10:09:22 2015  matrix starts at (0, 0)
Fri Jan 16 10:09:22 2015  matrix is 379658 x 379831 (113.7 MB) with weight 33415350 (87.97/col)
Fri Jan 16 10:09:22 2015  sparse part has weight 25630477 (67.48/col)
Fri Jan 16 10:09:22 2015  saving the first 48 matrix rows for later
Fri Jan 16 10:09:22 2015  matrix includes 64 packed rows
Fri Jan 16 10:09:22 2015  matrix is 379610 x 379831 (107.1 MB) with weight 26600617 (70.03/col)
Fri Jan 16 10:09:22 2015  sparse part has weight 24285812 (63.94/col)
Fri Jan 16 10:09:22 2015  using block size 65536 for processor cache size 8192 kB
Fri Jan 16 10:09:23 2015  commencing Lanczos iteration (8 threads)
Fri Jan 16 10:09:23 2015  memory use: 103.2 MB
Fri Jan 16 10:09:30 2015  linear algebra at 3.2%, ETA 0h 3m
Fri Jan 16 10:12:51 2015  lanczos halted after 6005 iterations (dim = 379601)
Fri Jan 16 10:12:51 2015  recovered 35 nontrivial dependencies
Fri Jan 16 10:12:51 2015  BLanczosTime: 227
Fri Jan 16 10:12:51 2015  
Fri Jan 16 10:12:51 2015  commencing square root phase
Fri Jan 16 10:12:51 2015  reading relations for dependency 1
Fri Jan 16 10:12:52 2015  read 189997 cycles
Fri Jan 16 10:12:52 2015  cycles contain 605500 unique relations
Fri Jan 16 10:12:56 2015  read 605500 relations
Fri Jan 16 10:12:57 2015  multiplying 605500 relations
Fri Jan 16 10:13:08 2015  multiply complete, coefficients have about 17.91 million bits
Fri Jan 16 10:13:08 2015  initial square root is modulo 139591
Fri Jan 16 10:13:22 2015  GCD is 1, no factor found
Fri Jan 16 10:13:22 2015  reading relations for dependency 2
Fri Jan 16 10:13:22 2015  read 189766 cycles
Fri Jan 16 10:13:22 2015  cycles contain 606362 unique relations
Fri Jan 16 10:13:26 2015  read 606362 relations
Fri Jan 16 10:13:27 2015  multiplying 606362 relations
Fri Jan 16 10:13:38 2015  multiply complete, coefficients have about 17.94 million bits
Fri Jan 16 10:13:38 2015  initial square root is modulo 141941
Fri Jan 16 10:13:52 2015  sqrtTime: 61
--
n: 15712139257537085214283294834683553806040558785894916248879584381731250494973491939565485661065246332780929800534733518950936883686161
m: 100000000000000000000000000000
deg: 5
c5: 700
c0: -277
skew: 0.83
# Murphy_E = 1.115e-09
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:27:45 UTC 2015 年 1 月 9 日 (金) 0 時 27 分 45 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:06:08 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 8 秒 (日本時間)

7×10148-2779

c131

name 名前Cyp
date 日付January 16, 2015 22:44:03 UTC 2015 年 1 月 17 日 (土) 7 時 44 分 3 秒 (日本時間)
composite number 合成数
12832515732930874317448081459575443235688769351997909716633566994905083404840841550705265559130210626006150082976098494981517435019<131>
prime factors 素因数
1753623551540299292779459969369002695555485126800752493648107<61>
7317714067913495181949751832624428568350991025030213785621593872379617<70>
factorization results 素因数分解の結果
01/16/15 22:05:21 v1.34.3, 
01/16/15 22:05:21 v1.34.3, ****************************
01/16/15 22:05:21 v1.34.3, Starting factorization of 12832515732930874317448081459575443235688769351997909716633566994905083404840841550705265559130210626006150082976098494981517435019
01/16/15 22:05:21 v1.34.3, using pretesting plan: none
01/16/15 22:05:21 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/16/15 22:05:21 v1.34.3, ****************************
01/16/15 22:05:21 v1.34.3, nfs: commencing nfs on c131: 12832515732930874317448081459575443235688769351997909716633566994905083404840841550705265559130210626006150082976098494981517435019
01/16/15 22:05:21 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/16/15 22:05:21 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 22:06:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
[99 lines snipped]
01/16/15 23:24:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 23:25:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 23:26:26 v1.34.3, nfs: commencing msieve filtering
01/16/15 23:27:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 23:27:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
[2 lines snipped]
01/16/15 23:30:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 23:31:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 23:31:48 v1.34.3, nfs: commencing msieve filtering
01/16/15 23:32:44 v1.34.3, nfs: commencing msieve linear algebra
01/16/15 23:37:37 v1.34.3, nfs: commencing msieve sqrt
01/16/15 23:44:03 v1.34.3, prp61 = 1753623551540299292779459969369002695555485126800752493648107
01/16/15 23:44:03 v1.34.3, prp70 = 7317714067913495181949751832624428568350991025030213785621593872379617
01/16/15 23:44:03 v1.34.3, NFS elapsed time = 5921.4128 seconds.
01/16/15 23:44:03 v1.34.3, 
01/16/15 23:44:03 v1.34.3, 
01/16/15 23:44:03 v1.34.3, Total factoring time = 5921.4135 seconds
--
Fri Jan 16 23:26:26 2015  
Fri Jan 16 23:26:26 2015  commencing relation filtering
Fri Jan 16 23:26:26 2015  estimated available RAM is 15987.3 MB
Fri Jan 16 23:26:26 2015  commencing duplicate removal, pass 1
Fri Jan 16 23:26:40 2015  found 739295 hash collisions in 4485287 relations
Fri Jan 16 23:26:44 2015  added 183473 free relations
Fri Jan 16 23:26:44 2015  commencing duplicate removal, pass 2
Fri Jan 16 23:26:47 2015  found 619531 duplicates and 4049229 unique relations
Fri Jan 16 23:26:47 2015  memory use: 20.6 MB
Fri Jan 16 23:26:47 2015  reading ideals above 100000
Fri Jan 16 23:26:47 2015  commencing singleton removal, initial pass
Fri Jan 16 23:27:04 2015  memory use: 94.1 MB
Fri Jan 16 23:27:04 2015  reading all ideals from disk
Fri Jan 16 23:27:04 2015  memory use: 134.1 MB
Fri Jan 16 23:27:04 2015  keeping 4787446 ideals with weight <= 200, target excess is 21380
Fri Jan 16 23:27:04 2015  commencing in-memory singleton removal
Fri Jan 16 23:27:04 2015  begin with 4049229 relations and 4787446 unique ideals
Fri Jan 16 23:27:05 2015  reduce to 1341114 relations and 1368409 ideals in 16 passes
Fri Jan 16 23:27:05 2015  max relations containing the same ideal: 93
Fri Jan 16 23:31:48 2015  
Fri Jan 16 23:31:48 2015  commencing relation filtering
Fri Jan 16 23:31:48 2015  estimated available RAM is 15987.3 MB
Fri Jan 16 23:31:48 2015  commencing duplicate removal, pass 1
Fri Jan 16 23:32:03 2015  found 816943 hash collisions in 4901483 relations
Fri Jan 16 23:32:06 2015  added 1283 free relations
Fri Jan 16 23:32:06 2015  commencing duplicate removal, pass 2
Fri Jan 16 23:32:10 2015  found 671749 duplicates and 4231017 unique relations
Fri Jan 16 23:32:10 2015  memory use: 20.6 MB
Fri Jan 16 23:32:10 2015  reading ideals above 100000
Fri Jan 16 23:32:10 2015  commencing singleton removal, initial pass
Fri Jan 16 23:32:28 2015  memory use: 94.1 MB
Fri Jan 16 23:32:28 2015  reading all ideals from disk
Fri Jan 16 23:32:28 2015  memory use: 140.2 MB
Fri Jan 16 23:32:28 2015  keeping 4877309 ideals with weight <= 200, target excess is 22252
Fri Jan 16 23:32:28 2015  commencing in-memory singleton removal
Fri Jan 16 23:32:28 2015  begin with 4231017 relations and 4877309 unique ideals
Fri Jan 16 23:32:29 2015  reduce to 1546990 relations and 1513219 ideals in 16 passes
Fri Jan 16 23:32:29 2015  max relations containing the same ideal: 105
Fri Jan 16 23:32:30 2015  relations with 0 large ideals: 508
Fri Jan 16 23:32:30 2015  relations with 1 large ideals: 119
Fri Jan 16 23:32:30 2015  relations with 2 large ideals: 1783
Fri Jan 16 23:32:30 2015  relations with 3 large ideals: 16750
Fri Jan 16 23:32:30 2015  relations with 4 large ideals: 84523
Fri Jan 16 23:32:30 2015  relations with 5 large ideals: 245992
Fri Jan 16 23:32:30 2015  relations with 6 large ideals: 443579
Fri Jan 16 23:32:30 2015  relations with 7+ large ideals: 753736
Fri Jan 16 23:32:30 2015  commencing 2-way merge
Fri Jan 16 23:32:30 2015  reduce to 908269 relation sets and 874544 unique ideals
Fri Jan 16 23:32:30 2015  ignored 46 oversize relation sets
Fri Jan 16 23:32:30 2015  commencing full merge
Fri Jan 16 23:32:41 2015  memory use: 108.8 MB
Fri Jan 16 23:32:41 2015  found 434950 cycles, need 430744
Fri Jan 16 23:32:41 2015  weight of 430744 cycles is about 30313238 (70.37/cycle)
Fri Jan 16 23:32:41 2015  distribution of cycle lengths:
Fri Jan 16 23:32:41 2015  1 relations: 50225
Fri Jan 16 23:32:41 2015  2 relations: 50397
Fri Jan 16 23:32:41 2015  3 relations: 49041
Fri Jan 16 23:32:41 2015  4 relations: 43831
Fri Jan 16 23:32:41 2015  5 relations: 38400
Fri Jan 16 23:32:41 2015  6 relations: 33440
Fri Jan 16 23:32:41 2015  7 relations: 27773
Fri Jan 16 23:32:41 2015  8 relations: 23376
Fri Jan 16 23:32:41 2015  9 relations: 19679
Fri Jan 16 23:32:41 2015  10+ relations: 94582
Fri Jan 16 23:32:41 2015  heaviest cycle: 27 relations
Fri Jan 16 23:32:41 2015  commencing cycle optimization
Fri Jan 16 23:32:41 2015  start with 2758131 relations
Fri Jan 16 23:32:44 2015  pruned 74054 relations
Fri Jan 16 23:32:44 2015  memory use: 87.5 MB
Fri Jan 16 23:32:44 2015  distribution of cycle lengths:
Fri Jan 16 23:32:44 2015  1 relations: 50225
Fri Jan 16 23:32:44 2015  2 relations: 51451
Fri Jan 16 23:32:44 2015  3 relations: 50776
Fri Jan 16 23:32:44 2015  4 relations: 44884
Fri Jan 16 23:32:44 2015  5 relations: 39414
Fri Jan 16 23:32:44 2015  6 relations: 33928
Fri Jan 16 23:32:44 2015  7 relations: 27926
Fri Jan 16 23:32:44 2015  8 relations: 23480
Fri Jan 16 23:32:44 2015  9 relations: 19471
Fri Jan 16 23:32:44 2015  10+ relations: 89189
Fri Jan 16 23:32:44 2015  heaviest cycle: 27 relations
Fri Jan 16 23:32:44 2015  RelProcTime: 56
Fri Jan 16 23:32:44 2015  
Fri Jan 16 23:32:44 2015  commencing linear algebra
Fri Jan 16 23:32:44 2015  read 430744 cycles
Fri Jan 16 23:32:45 2015  cycles contain 1429580 unique relations
Fri Jan 16 23:32:51 2015  read 1429580 relations
Fri Jan 16 23:32:52 2015  using 20 quadratic characters above 67106358
Fri Jan 16 23:32:56 2015  building initial matrix
Fri Jan 16 23:33:03 2015  memory use: 173.1 MB
Fri Jan 16 23:33:03 2015  read 430744 cycles
Fri Jan 16 23:33:03 2015  matrix is 430563 x 430744 (128.5 MB) with weight 38460320 (89.29/col)
Fri Jan 16 23:33:03 2015  sparse part has weight 28947557 (67.20/col)
Fri Jan 16 23:33:05 2015  filtering completed in 2 passes
Fri Jan 16 23:33:05 2015  matrix is 429858 x 430043 (128.4 MB) with weight 38425101 (89.35/col)
Fri Jan 16 23:33:05 2015  sparse part has weight 28929488 (67.27/col)
Fri Jan 16 23:33:06 2015  matrix starts at (0, 0)
Fri Jan 16 23:33:06 2015  matrix is 429858 x 430043 (128.4 MB) with weight 38425101 (89.35/col)
Fri Jan 16 23:33:06 2015  sparse part has weight 28929488 (67.27/col)
Fri Jan 16 23:33:06 2015  saving the first 48 matrix rows for later
Fri Jan 16 23:33:06 2015  matrix includes 64 packed rows
Fri Jan 16 23:33:06 2015  matrix is 429810 x 430043 (121.4 MB) with weight 30384374 (70.65/col)
Fri Jan 16 23:33:06 2015  sparse part has weight 27536284 (64.03/col)
Fri Jan 16 23:33:06 2015  using block size 65536 for processor cache size 8192 kB
Fri Jan 16 23:33:07 2015  commencing Lanczos iteration (8 threads)
Fri Jan 16 23:33:07 2015  memory use: 117.2 MB
Fri Jan 16 23:33:14 2015  linear algebra at 2.8%, ETA 0h 4m
Fri Jan 16 23:37:37 2015  lanczos halted after 6799 iterations (dim = 429808)
Fri Jan 16 23:37:37 2015  recovered 36 nontrivial dependencies
Fri Jan 16 23:37:37 2015  BLanczosTime: 293
Fri Jan 16 23:37:37 2015  
Fri Jan 16 23:37:37 2015  commencing square root phase
Fri Jan 16 23:37:37 2015  reading relations for dependency 1
Fri Jan 16 23:37:37 2015  read 215325 cycles
Fri Jan 16 23:37:37 2015  cycles contain 716012 unique relations
Fri Jan 16 23:37:42 2015  read 716012 relations
Fri Jan 16 23:37:43 2015  multiplying 716012 relations
Fri Jan 16 23:37:57 2015  multiply complete, coefficients have about 23.36 million bits
Fri Jan 16 23:37:57 2015  initial square root is modulo 5112181
Fri Jan 16 23:38:15 2015  GCD is 1, no factor found
Fri Jan 16 23:38:15 2015  reading relations for dependency 2
Fri Jan 16 23:38:15 2015  read 215184 cycles
Fri Jan 16 23:38:15 2015  cycles contain 714110 unique relations
Fri Jan 16 23:38:19 2015  read 714110 relations
Fri Jan 16 23:38:21 2015  multiplying 714110 relations
Fri Jan 16 23:38:35 2015  multiply complete, coefficients have about 23.30 million bits
Fri Jan 16 23:38:35 2015  initial square root is modulo 4905931
Fri Jan 16 23:38:54 2015  GCD is 1, no factor found
Fri Jan 16 23:38:54 2015  reading relations for dependency 3
Fri Jan 16 23:38:54 2015  read 214938 cycles
Fri Jan 16 23:38:54 2015  cycles contain 713804 unique relations
Fri Jan 16 23:38:59 2015  read 713804 relations
Fri Jan 16 23:39:00 2015  multiplying 713804 relations
Fri Jan 16 23:39:14 2015  multiply complete, coefficients have about 23.29 million bits
Fri Jan 16 23:39:14 2015  initial square root is modulo 4873391
Fri Jan 16 23:39:32 2015  GCD is 1, no factor found
Fri Jan 16 23:39:32 2015  reading relations for dependency 4
Fri Jan 16 23:39:32 2015  read 215307 cycles
Fri Jan 16 23:39:32 2015  cycles contain 715292 unique relations
Fri Jan 16 23:39:38 2015  read 715292 relations
Fri Jan 16 23:39:39 2015  multiplying 715292 relations
Fri Jan 16 23:39:53 2015  multiply complete, coefficients have about 23.33 million bits
Fri Jan 16 23:39:53 2015  initial square root is modulo 5031911
Fri Jan 16 23:40:11 2015  GCD is 1, no factor found
Fri Jan 16 23:40:11 2015  reading relations for dependency 5
Fri Jan 16 23:40:11 2015  read 215008 cycles
Fri Jan 16 23:40:11 2015  cycles contain 714932 unique relations
Fri Jan 16 23:40:15 2015  read 714932 relations
Fri Jan 16 23:40:17 2015  multiplying 714932 relations
Fri Jan 16 23:40:31 2015  multiply complete, coefficients have about 23.32 million bits
Fri Jan 16 23:40:31 2015  initial square root is modulo 4992731
Fri Jan 16 23:40:50 2015  GCD is 1, no factor found
Fri Jan 16 23:40:50 2015  reading relations for dependency 6
Fri Jan 16 23:40:50 2015  read 215072 cycles
Fri Jan 16 23:40:50 2015  cycles contain 714042 unique relations
Fri Jan 16 23:40:55 2015  read 714042 relations
Fri Jan 16 23:40:56 2015  multiplying 714042 relations
Fri Jan 16 23:41:10 2015  multiply complete, coefficients have about 23.29 million bits
Fri Jan 16 23:41:10 2015  initial square root is modulo 4897561
Fri Jan 16 23:41:28 2015  GCD is N, no factor found
Fri Jan 16 23:41:28 2015  reading relations for dependency 7
Fri Jan 16 23:41:28 2015  read 215496 cycles
Fri Jan 16 23:41:28 2015  cycles contain 716218 unique relations
Fri Jan 16 23:41:33 2015  read 716218 relations
Fri Jan 16 23:41:34 2015  multiplying 716218 relations
Fri Jan 16 23:41:49 2015  multiply complete, coefficients have about 23.36 million bits
Fri Jan 16 23:41:49 2015  initial square root is modulo 5135281
Fri Jan 16 23:42:07 2015  GCD is N, no factor found
Fri Jan 16 23:42:07 2015  reading relations for dependency 8
Fri Jan 16 23:42:07 2015  read 214994 cycles
Fri Jan 16 23:42:08 2015  cycles contain 714750 unique relations
Fri Jan 16 23:42:12 2015  read 714750 relations
Fri Jan 16 23:42:13 2015  multiplying 714750 relations
Fri Jan 16 23:42:27 2015  multiply complete, coefficients have about 23.32 million bits
Fri Jan 16 23:42:27 2015  initial square root is modulo 4974401
Fri Jan 16 23:42:45 2015  GCD is 1, no factor found
Fri Jan 16 23:42:45 2015  reading relations for dependency 9
Fri Jan 16 23:42:45 2015  read 215429 cycles
Fri Jan 16 23:42:46 2015  cycles contain 715412 unique relations
Fri Jan 16 23:42:50 2015  read 715412 relations
Fri Jan 16 23:42:51 2015  multiplying 715412 relations
Fri Jan 16 23:43:05 2015  multiply complete, coefficients have about 23.34 million bits
Fri Jan 16 23:43:05 2015  initial square root is modulo 5042551
Fri Jan 16 23:43:23 2015  GCD is N, no factor found
Fri Jan 16 23:43:23 2015  reading relations for dependency 10
Fri Jan 16 23:43:23 2015  read 215077 cycles
Fri Jan 16 23:43:23 2015  cycles contain 714354 unique relations
Fri Jan 16 23:43:28 2015  read 714354 relations
Fri Jan 16 23:43:29 2015  multiplying 714354 relations
Fri Jan 16 23:43:44 2015  multiply complete, coefficients have about 23.30 million bits
Fri Jan 16 23:43:44 2015  initial square root is modulo 4929871
Fri Jan 16 23:44:03 2015  sqrtTime: 386
--
n: 12832515732930874317448081459575443235688769351997909716633566994905083404840841550705265559130210626006150082976098494981517435019
m: 100000000000000000000000000000
deg: 5
c5: 7000
c0: -277
skew: 0.52
# Murphy_E = 1.037e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:27:59 UTC 2015 年 1 月 9 日 (金) 0 時 27 分 59 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:06:09 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 9 秒 (日本時間)

7×10149-2779

c135

name 名前Serge Batalov
date 日付January 9, 2015 03:52:47 UTC 2015 年 1 月 9 日 (金) 12 時 52 分 47 秒 (日本時間)
composite number 合成数
203315221092593500948498505049705429019012960484906395063216992871684937433492592909254817538019015906085957640923987357872240060781681<135>
prime factors 素因数
25160426217158761014497764667272669<35>
8080754250257405017703739470694297751349926710139681276177295548066601291965476653168046255989066149<100>
factorization results 素因数分解の結果
Input number is 203315221092593500948498505049705429019012960484906395063216992871684937433492592909254817538019015906085957640923987357872240060781681 (135 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3039354664
Step 1 took 7599ms
Step 2 took 6694ms
********** Factor found in step 2: 25160426217158761014497764667272669
Found probable prime factor of 35 digits: 25160426217158761014497764667272669
Probable prime cofactor 8080754250257405017703739470694297751349926710139681276177295548066601291965476653168046255989066149 has 100 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:28:09 UTC 2015 年 1 月 9 日 (金) 0 時 28 分 9 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:06:09 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 9 秒 (日本時間)

7×10152-2779

c150

name 名前Cyp
date 日付January 12, 2015 20:27:31 UTC 2015 年 1 月 13 日 (火) 5 時 27 分 31 秒 (日本時間)
composite number 合成数
253347810351067680057908070937386898298950416214259862468331523706116539992761491132826637712631197973217517191458559536735432500904813608396670285921<150>
prime factors 素因数
38274967968056341810402807738044848940523<41>
6619151466371117331955393855530057377850276885187355380046731575154103092227349561878843548440372149865286627<109>
factorization results 素因数分解の結果
01/12/15 18:48:52 v1.34.3, 
01/12/15 18:48:52 v1.34.3, ****************************
01/12/15 18:48:52 v1.34.3, Starting factorization of 253347810351067680057908070937386898298950416214259862468331523706116539992761491132826637712631197973217517191458559536735432500904813608396670285921
01/12/15 18:48:52 v1.34.3, using pretesting plan: none
01/12/15 18:48:52 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/12/15 18:48:52 v1.34.3, ****************************
01/12/15 18:48:52 v1.34.3, nfs: commencing nfs on c150: 253347810351067680057908070937386898298950416214259862468331523706116539992761491132826637712631197973217517191458559536735432500904813608396670285921
01/12/15 18:48:52 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/12/15 18:48:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/12/15 18:53:04 v1.34.3, nfs: commencing lattice sieving with 8 threads
[32 lines snipped]
01/12/15 21:12:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/12/15 21:16:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/12/15 21:21:03 v1.34.3, nfs: commencing msieve filtering
01/12/15 21:22:45 v1.34.3, nfs: commencing msieve linear algebra
01/12/15 21:26:25 v1.34.3, nfs: commencing msieve sqrt
01/12/15 21:27:31 v1.34.3, prp109 = 6619151466371117331955393855530057377850276885187355380046731575154103092227349561878843548440372149865286627
01/12/15 21:27:31 v1.34.3, prp41 = 38274967968056341810402807738044848940523
01/12/15 21:27:31 v1.34.3, NFS elapsed time = 9518.9066 seconds.
01/12/15 21:27:31 v1.34.3, 
01/12/15 21:27:31 v1.34.3, 
01/12/15 21:27:31 v1.34.3, Total factoring time = 9518.9076 seconds
--
Mon Jan 12 21:21:03 2015  
Mon Jan 12 21:21:03 2015  commencing relation filtering
Mon Jan 12 21:21:03 2015  estimated available RAM is 15987.3 MB
Mon Jan 12 21:21:03 2015  commencing duplicate removal, pass 1
Mon Jan 12 21:21:30 2015  found 1356632 hash collisions in 10051300 relations
Mon Jan 12 21:21:39 2015  added 359063 free relations
Mon Jan 12 21:21:39 2015  commencing duplicate removal, pass 2
Mon Jan 12 21:21:46 2015  found 915540 duplicates and 9494823 unique relations
Mon Jan 12 21:21:46 2015  memory use: 41.3 MB
Mon Jan 12 21:21:46 2015  reading ideals above 100000
Mon Jan 12 21:21:46 2015  commencing singleton removal, initial pass
Mon Jan 12 21:22:27 2015  memory use: 188.2 MB
Mon Jan 12 21:22:27 2015  reading all ideals from disk
Mon Jan 12 21:22:27 2015  memory use: 326.9 MB
Mon Jan 12 21:22:28 2015  keeping 9645982 ideals with weight <= 200, target excess is 51647
Mon Jan 12 21:22:28 2015  commencing in-memory singleton removal
Mon Jan 12 21:22:28 2015  begin with 9494823 relations and 9645982 unique ideals
Mon Jan 12 21:22:31 2015  reduce to 4603519 relations and 3639888 ideals in 11 passes
Mon Jan 12 21:22:31 2015  max relations containing the same ideal: 126
Mon Jan 12 21:22:32 2015  removing 1294288 relations and 894288 ideals in 400000 cliques
Mon Jan 12 21:22:32 2015  commencing in-memory singleton removal
Mon Jan 12 21:22:33 2015  begin with 3309231 relations and 3639888 unique ideals
Mon Jan 12 21:22:33 2015  reduce to 3076702 relations and 2488901 ideals in 8 passes
Mon Jan 12 21:22:33 2015  max relations containing the same ideal: 96
Mon Jan 12 21:22:34 2015  removing 1094710 relations and 694710 ideals in 400000 cliques
Mon Jan 12 21:22:34 2015  commencing in-memory singleton removal
Mon Jan 12 21:22:35 2015  begin with 1981992 relations and 2488901 unique ideals
Mon Jan 12 21:22:35 2015  reduce to 1773715 relations and 1560005 ideals in 9 passes
Mon Jan 12 21:22:35 2015  max relations containing the same ideal: 66
Mon Jan 12 21:22:35 2015  removing 479519 relations and 325720 ideals in 153799 cliques
Mon Jan 12 21:22:36 2015  commencing in-memory singleton removal
Mon Jan 12 21:22:36 2015  begin with 1294196 relations and 1560005 unique ideals
Mon Jan 12 21:22:36 2015  reduce to 1200666 relations and 1132397 ideals in 8 passes
Mon Jan 12 21:22:36 2015  max relations containing the same ideal: 53
Mon Jan 12 21:22:36 2015  removing 48144 relations and 39786 ideals in 8358 cliques
Mon Jan 12 21:22:36 2015  commencing in-memory singleton removal
Mon Jan 12 21:22:36 2015  begin with 1152522 relations and 1132397 unique ideals
Mon Jan 12 21:22:36 2015  reduce to 1151161 relations and 1091242 ideals in 6 passes
Mon Jan 12 21:22:36 2015  max relations containing the same ideal: 50
Mon Jan 12 21:22:36 2015  relations with 0 large ideals: 1185
Mon Jan 12 21:22:36 2015  relations with 1 large ideals: 843
Mon Jan 12 21:22:36 2015  relations with 2 large ideals: 10766
Mon Jan 12 21:22:36 2015  relations with 3 large ideals: 62974
Mon Jan 12 21:22:36 2015  relations with 4 large ideals: 190473
Mon Jan 12 21:22:36 2015  relations with 5 large ideals: 316001
Mon Jan 12 21:22:36 2015  relations with 6 large ideals: 318868
Mon Jan 12 21:22:36 2015  relations with 7+ large ideals: 250051
Mon Jan 12 21:22:36 2015  commencing 2-way merge
Mon Jan 12 21:22:37 2015  reduce to 713360 relation sets and 653441 unique ideals
Mon Jan 12 21:22:37 2015  commencing full merge
Mon Jan 12 21:22:43 2015  memory use: 84.5 MB
Mon Jan 12 21:22:43 2015  found 369616 cycles, need 361641
Mon Jan 12 21:22:43 2015  weight of 361641 cycles is about 25405795 (70.25/cycle)
Mon Jan 12 21:22:43 2015  distribution of cycle lengths:
Mon Jan 12 21:22:43 2015  1 relations: 31691
Mon Jan 12 21:22:43 2015  2 relations: 34545
Mon Jan 12 21:22:43 2015  3 relations: 38341
Mon Jan 12 21:22:43 2015  4 relations: 38307
Mon Jan 12 21:22:43 2015  5 relations: 37776
Mon Jan 12 21:22:43 2015  6 relations: 35428
Mon Jan 12 21:22:43 2015  7 relations: 31366
Mon Jan 12 21:22:43 2015  8 relations: 26879
Mon Jan 12 21:22:43 2015  9 relations: 22109
Mon Jan 12 21:22:43 2015  10+ relations: 65199
Mon Jan 12 21:22:43 2015  heaviest cycle: 19 relations
Mon Jan 12 21:22:43 2015  commencing cycle optimization
Mon Jan 12 21:22:43 2015  start with 2185725 relations
Mon Jan 12 21:22:45 2015  pruned 67656 relations
Mon Jan 12 21:22:45 2015  memory use: 69.3 MB
Mon Jan 12 21:22:45 2015  distribution of cycle lengths:
Mon Jan 12 21:22:45 2015  1 relations: 31691
Mon Jan 12 21:22:45 2015  2 relations: 35283
Mon Jan 12 21:22:45 2015  3 relations: 39797
Mon Jan 12 21:22:45 2015  4 relations: 39615
Mon Jan 12 21:22:45 2015  5 relations: 39350
Mon Jan 12 21:22:45 2015  6 relations: 36550
Mon Jan 12 21:22:45 2015  7 relations: 32323
Mon Jan 12 21:22:45 2015  8 relations: 27217
Mon Jan 12 21:22:45 2015  9 relations: 22050
Mon Jan 12 21:22:45 2015  10+ relations: 57765
Mon Jan 12 21:22:45 2015  heaviest cycle: 18 relations
Mon Jan 12 21:22:45 2015  RelProcTime: 102
Mon Jan 12 21:22:45 2015  
Mon Jan 12 21:22:45 2015  commencing linear algebra
Mon Jan 12 21:22:45 2015  read 361641 cycles
Mon Jan 12 21:22:46 2015  cycles contain 1117826 unique relations
Mon Jan 12 21:22:56 2015  read 1117826 relations
Mon Jan 12 21:22:56 2015  using 20 quadratic characters above 134214810
Mon Jan 12 21:23:00 2015  building initial matrix
Mon Jan 12 21:23:05 2015  memory use: 137.3 MB
Mon Jan 12 21:23:05 2015  read 361641 cycles
Mon Jan 12 21:23:05 2015  matrix is 361463 x 361641 (107.6 MB) with weight 31623203 (87.44/col)
Mon Jan 12 21:23:05 2015  sparse part has weight 24229495 (67.00/col)
Mon Jan 12 21:23:07 2015  filtering completed in 2 passes
Mon Jan 12 21:23:07 2015  matrix is 361360 x 361538 (107.6 MB) with weight 31619344 (87.46/col)
Mon Jan 12 21:23:07 2015  sparse part has weight 24227721 (67.01/col)
Mon Jan 12 21:23:07 2015  matrix starts at (0, 0)
Mon Jan 12 21:23:07 2015  matrix is 361360 x 361538 (107.6 MB) with weight 31619344 (87.46/col)
Mon Jan 12 21:23:07 2015  sparse part has weight 24227721 (67.01/col)
Mon Jan 12 21:23:07 2015  saving the first 48 matrix rows for later
Mon Jan 12 21:23:07 2015  matrix includes 64 packed rows
Mon Jan 12 21:23:07 2015  matrix is 361312 x 361538 (101.3 MB) with weight 25133954 (69.52/col)
Mon Jan 12 21:23:07 2015  sparse part has weight 22934922 (63.44/col)
Mon Jan 12 21:23:07 2015  using block size 65536 for processor cache size 8192 kB
Mon Jan 12 21:23:08 2015  commencing Lanczos iteration (8 threads)
Mon Jan 12 21:23:08 2015  memory use: 97.8 MB
Mon Jan 12 21:23:15 2015  linear algebra at 3.4%, ETA 0h 3m
Mon Jan 12 21:26:25 2015  lanczos halted after 5716 iterations (dim = 361312)
Mon Jan 12 21:26:25 2015  recovered 39 nontrivial dependencies
Mon Jan 12 21:26:25 2015  BLanczosTime: 220
Mon Jan 12 21:26:25 2015  
Mon Jan 12 21:26:25 2015  commencing square root phase
Mon Jan 12 21:26:25 2015  reading relations for dependency 1
Mon Jan 12 21:26:25 2015  read 180183 cycles
Mon Jan 12 21:26:25 2015  cycles contain 556822 unique relations
Mon Jan 12 21:26:33 2015  read 556822 relations
Mon Jan 12 21:26:34 2015  multiplying 556822 relations
Mon Jan 12 21:26:44 2015  multiply complete, coefficients have about 16.97 million bits
Mon Jan 12 21:26:44 2015  initial square root is modulo 74761
Mon Jan 12 21:26:58 2015  GCD is N, no factor found
Mon Jan 12 21:26:58 2015  reading relations for dependency 2
Mon Jan 12 21:26:58 2015  read 181072 cycles
Mon Jan 12 21:26:58 2015  cycles contain 558752 unique relations
Mon Jan 12 21:27:06 2015  read 558752 relations
Mon Jan 12 21:27:07 2015  multiplying 558752 relations
Mon Jan 12 21:27:17 2015  multiply complete, coefficients have about 17.03 million bits
Mon Jan 12 21:27:17 2015  initial square root is modulo 77951
Mon Jan 12 21:27:31 2015  sqrtTime: 66
--
n: 253347810351067680057908070937386898298950416214259862468331523706116539992761491132826637712631197973217517191458559536735432500904813608396670285921
m: 1000000000000000000000000000000
deg: 5
c5: 700
c0: -277
skew: 0.83
# Murphy_E = 7.216e-10
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:06:10 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 10 秒 (日本時間)

7×10154-2779

c125

name 名前Cyp
date 日付January 18, 2015 19:33:51 UTC 2015 年 1 月 19 日 (月) 4 時 33 分 51 秒 (日本時間)
composite number 合成数
40316715704007004772746059051329839595022180988690172632400787331110235253128097849168248913042720630295544284662718156682931<125>
prime factors 素因数
48626863112093737422560311295189717494671586806125267<53>
829103773588472365162974688608270193678551390974440732547268591496159393<72>
factorization results 素因数分解の結果
01/17/15 13:12:49 v1.34.3, 
01/17/15 13:12:49 v1.34.3, ****************************
01/17/15 13:12:49 v1.34.3, Starting factorization of 40316715704007004772746059051329839595022180988690172632400787331110235253128097849168248913042720630295544284662718156682931
01/17/15 13:12:49 v1.34.3, using pretesting plan: none
01/17/15 13:12:49 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/17/15 13:12:49 v1.34.3, ****************************
01/17/15 13:12:49 v1.34.3, nfs: commencing nfs on c125: 40316715704007004772746059051329839595022180988690172632400787331110235253128097849168248913042720630295544284662718156682931
01/17/15 13:12:49 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/17/15 13:12:49 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 13:13:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
[19 lines snipped]
01/17/15 13:32:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 13:33:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/15 18:35:44 v1.34.3, 
01/18/15 18:35:44 v1.34.3, ****************************
01/18/15 18:35:44 v1.34.3, Starting factorization of 40316715704007004772746059051329839595022180988690172632400787331110235253128097849168248913042720630295544284662718156682931
01/18/15 18:35:44 v1.34.3, using pretesting plan: none
01/18/15 18:35:44 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/18/15 18:35:44 v1.34.3, ****************************
01/18/15 18:35:44 v1.34.3, nfs: previous data file found - commencing search for last special-q
01/18/15 18:35:45 v1.34.3, nfs: parsing special-q from .dat file
01/18/15 18:35:45 v1.34.3, nfs: commencing nfs on c125: 40316715704007004772746059051329839595022180988690172632400787331110235253128097849168248913042720630295544284662718156682931
01/18/15 18:35:45 v1.34.3, nfs: resuming with filtering
01/18/15 18:35:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/15 18:36:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
[111 lines snipped]
01/18/15 20:24:50 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/15 20:25:49 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/15 20:26:46 v1.34.3, nfs: commencing msieve filtering
01/18/15 20:28:29 v1.34.3, nfs: commencing msieve linear algebra
01/18/15 20:33:17 v1.34.3, nfs: commencing msieve sqrt
01/18/15 20:33:50 v1.34.3, prp53 = 48626863112093737422560311295189717494671586806125267
01/18/15 20:33:50 v1.34.3, prp72 = 829103773588472365162974688608270193678551390974440732547268591496159393
01/18/15 20:33:50 v1.34.3, NFS elapsed time = 7086.5073 seconds.
01/18/15 20:33:50 v1.34.3, 
01/18/15 20:33:50 v1.34.3, 
01/18/15 20:33:50 v1.34.3, Total factoring time = 7086.5078 seconds
--
Sun Jan 18 20:26:46 2015  
Sun Jan 18 20:26:46 2015  commencing relation filtering
Sun Jan 18 20:26:46 2015  estimated available RAM is 15987.3 MB
Sun Jan 18 20:26:46 2015  commencing duplicate removal, pass 1
Sun Jan 18 20:27:13 2015  found 1646642 hash collisions in 10047649 relations
Sun Jan 18 20:27:21 2015  added 355744 free relations
Sun Jan 18 20:27:21 2015  commencing duplicate removal, pass 2
Sun Jan 18 20:27:29 2015  found 1316833 duplicates and 9086560 unique relations
Sun Jan 18 20:27:29 2015  memory use: 41.3 MB
Sun Jan 18 20:27:29 2015  reading ideals above 100000
Sun Jan 18 20:27:29 2015  commencing singleton removal, initial pass
Sun Jan 18 20:28:09 2015  memory use: 188.2 MB
Sun Jan 18 20:28:09 2015  reading all ideals from disk
Sun Jan 18 20:28:09 2015  memory use: 306.1 MB
Sun Jan 18 20:28:09 2015  keeping 9512769 ideals with weight <= 200, target excess is 46226
Sun Jan 18 20:28:10 2015  commencing in-memory singleton removal
Sun Jan 18 20:28:10 2015  begin with 9086560 relations and 9512769 unique ideals
Sun Jan 18 20:28:13 2015  reduce to 4151781 relations and 3408959 ideals in 14 passes
Sun Jan 18 20:28:13 2015  max relations containing the same ideal: 119
Sun Jan 18 20:28:14 2015  removing 1192286 relations and 847686 ideals in 344600 cliques
Sun Jan 18 20:28:15 2015  commencing in-memory singleton removal
Sun Jan 18 20:28:15 2015  begin with 2959495 relations and 3408959 unique ideals
Sun Jan 18 20:28:15 2015  reduce to 2726017 relations and 2303644 ideals in 8 passes
Sun Jan 18 20:28:15 2015  max relations containing the same ideal: 91
Sun Jan 18 20:28:16 2015  removing 995121 relations and 650521 ideals in 344600 cliques
Sun Jan 18 20:28:16 2015  commencing in-memory singleton removal
Sun Jan 18 20:28:16 2015  begin with 1730896 relations and 2303644 unique ideals
Sun Jan 18 20:28:17 2015  reduce to 1525537 relations and 1421282 ideals in 12 passes
Sun Jan 18 20:28:17 2015  max relations containing the same ideal: 61
Sun Jan 18 20:28:17 2015  removing 213314 relations and 162682 ideals in 50632 cliques
Sun Jan 18 20:28:17 2015  commencing in-memory singleton removal
Sun Jan 18 20:28:17 2015  begin with 1312223 relations and 1421282 unique ideals
Sun Jan 18 20:28:18 2015  reduce to 1289938 relations and 1235583 ideals in 7 passes
Sun Jan 18 20:28:18 2015  max relations containing the same ideal: 56
Sun Jan 18 20:28:18 2015  relations with 0 large ideals: 1106
Sun Jan 18 20:28:18 2015  relations with 1 large ideals: 728
Sun Jan 18 20:28:18 2015  relations with 2 large ideals: 10768
Sun Jan 18 20:28:18 2015  relations with 3 large ideals: 66083
Sun Jan 18 20:28:18 2015  relations with 4 large ideals: 203950
Sun Jan 18 20:28:18 2015  relations with 5 large ideals: 350689
Sun Jan 18 20:28:18 2015  relations with 6 large ideals: 364375
Sun Jan 18 20:28:18 2015  relations with 7+ large ideals: 292239
Sun Jan 18 20:28:18 2015  commencing 2-way merge
Sun Jan 18 20:28:18 2015  reduce to 810646 relation sets and 756291 unique ideals
Sun Jan 18 20:28:18 2015  commencing full merge
Sun Jan 18 20:28:26 2015  memory use: 96.9 MB
Sun Jan 18 20:28:26 2015  found 420201 cycles, need 412491
Sun Jan 18 20:28:26 2015  weight of 412491 cycles is about 29128835 (70.62/cycle)
Sun Jan 18 20:28:26 2015  distribution of cycle lengths:
Sun Jan 18 20:28:26 2015  1 relations: 28907
Sun Jan 18 20:28:26 2015  2 relations: 39311
Sun Jan 18 20:28:26 2015  3 relations: 44173
Sun Jan 18 20:28:26 2015  4 relations: 44170
Sun Jan 18 20:28:26 2015  5 relations: 43374
Sun Jan 18 20:28:26 2015  6 relations: 40095
Sun Jan 18 20:28:26 2015  7 relations: 35777
Sun Jan 18 20:28:26 2015  8 relations: 31304
Sun Jan 18 20:28:26 2015  9 relations: 25921
Sun Jan 18 20:28:26 2015  10+ relations: 79459
Sun Jan 18 20:28:26 2015  heaviest cycle: 20 relations
Sun Jan 18 20:28:26 2015  commencing cycle optimization
Sun Jan 18 20:28:26 2015  start with 2572866 relations
Sun Jan 18 20:28:29 2015  pruned 78514 relations
Sun Jan 18 20:28:29 2015  memory use: 79.6 MB
Sun Jan 18 20:28:29 2015  distribution of cycle lengths:
Sun Jan 18 20:28:29 2015  1 relations: 28907
Sun Jan 18 20:28:29 2015  2 relations: 40207
Sun Jan 18 20:28:29 2015  3 relations: 45775
Sun Jan 18 20:28:29 2015  4 relations: 45537
Sun Jan 18 20:28:29 2015  5 relations: 45137
Sun Jan 18 20:28:29 2015  6 relations: 41451
Sun Jan 18 20:28:29 2015  7 relations: 36724
Sun Jan 18 20:28:29 2015  8 relations: 31692
Sun Jan 18 20:28:29 2015  9 relations: 25977
Sun Jan 18 20:28:29 2015  10+ relations: 71084
Sun Jan 18 20:28:29 2015  heaviest cycle: 19 relations
Sun Jan 18 20:28:29 2015  RelProcTime: 103
Sun Jan 18 20:28:29 2015  
Sun Jan 18 20:28:29 2015  commencing linear algebra
Sun Jan 18 20:28:29 2015  read 412491 cycles
Sun Jan 18 20:28:30 2015  cycles contain 1254586 unique relations
Sun Jan 18 20:28:39 2015  read 1254586 relations
Sun Jan 18 20:28:39 2015  using 20 quadratic characters above 134194520
Sun Jan 18 20:28:43 2015  building initial matrix
Sun Jan 18 20:28:50 2015  memory use: 155.0 MB
Sun Jan 18 20:28:50 2015  read 412491 cycles
Sun Jan 18 20:28:50 2015  matrix is 412314 x 412491 (123.4 MB) with weight 37227831 (90.25/col)
Sun Jan 18 20:28:50 2015  sparse part has weight 27820719 (67.45/col)
Sun Jan 18 20:28:52 2015  filtering completed in 2 passes
Sun Jan 18 20:28:52 2015  matrix is 412225 x 412402 (123.4 MB) with weight 37224343 (90.26/col)
Sun Jan 18 20:28:52 2015  sparse part has weight 27819206 (67.46/col)
Sun Jan 18 20:28:53 2015  matrix starts at (0, 0)
Sun Jan 18 20:28:53 2015  matrix is 412225 x 412402 (123.4 MB) with weight 37224343 (90.26/col)
Sun Jan 18 20:28:53 2015  sparse part has weight 27819206 (67.46/col)
Sun Jan 18 20:28:53 2015  saving the first 48 matrix rows for later
Sun Jan 18 20:28:53 2015  matrix includes 64 packed rows
Sun Jan 18 20:28:53 2015  matrix is 412177 x 412402 (117.3 MB) with weight 29554005 (71.66/col)
Sun Jan 18 20:28:53 2015  sparse part has weight 26614362 (64.53/col)
Sun Jan 18 20:28:53 2015  using block size 65536 for processor cache size 8192 kB
Sun Jan 18 20:28:54 2015  commencing Lanczos iteration (8 threads)
Sun Jan 18 20:28:54 2015  memory use: 112.2 MB
Sun Jan 18 20:29:01 2015  linear algebra at 3.0%, ETA 0h 3m
Sun Jan 18 20:33:16 2015  lanczos halted after 6520 iterations (dim = 412174)
Sun Jan 18 20:33:17 2015  recovered 37 nontrivial dependencies
Sun Jan 18 20:33:17 2015  BLanczosTime: 288
Sun Jan 18 20:33:17 2015  
Sun Jan 18 20:33:17 2015  commencing square root phase
Sun Jan 18 20:33:17 2015  reading relations for dependency 1
Sun Jan 18 20:33:17 2015  read 206545 cycles
Sun Jan 18 20:33:17 2015  cycles contain 628580 unique relations
Sun Jan 18 20:33:25 2015  read 628580 relations
Sun Jan 18 20:33:26 2015  multiplying 628580 relations
Sun Jan 18 20:33:36 2015  multiply complete, coefficients have about 17.37 million bits
Sun Jan 18 20:33:36 2015  initial square root is modulo 97931
Sun Jan 18 20:33:50 2015  sqrtTime: 33
--
n: 40316715704007004772746059051329839595022180988690172632400787331110235253128097849168248913042720630295544284662718156682931
m: 5000000000000000000000000000000
deg: 5
c5: 112
c0: -1385
skew: 1.65
# Murphy_E = 7.602e-10
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:06:10 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 10 秒 (日本時間)

7×10156-2779

c118

name 名前Pierre Jammes
date 日付January 9, 2015 18:17:51 UTC 2015 年 1 月 10 日 (土) 3 時 17 分 51 秒 (日本時間)
composite number 合成数
3380776105247910030872999724286426101151300215118192578130275273946670474936474033141753961562224221858223889456096303<118>
prime factors 素因数
14455967187873683283586401595983967<35>
233867167883713611234645131163986201699154651240542358814037628641929430554693301809<84>
factorization results 素因数分解の結果
(Using B1=3000000, B2=23415979870, polynomial Dickson(12), sigma=1651562268
Step 1 took 16500ms
Step 2 took 18784ms
********** Factor found in step 2: 14455967187873683283586401595983967
Found probable prime factor of 35 digits: 14455967187873683283586401595983967
Probable prime cofactor 233867167883713611234645131163986201699154651240542358814037628641929430554693301809 has 84 digits
software ソフトウェア
GMP-ECM 6.4.4(Enter execution environment information here, if above results do not include them. For example, Pentium 4 3.06GHz, Windows XP and Cygwin)
execution environment 実行環境
Debian 8

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10157-2779

c114

name 名前Cyp
date 日付January 18, 2015 11:19:21 UTC 2015 年 1 月 18 日 (日) 20 時 19 分 21 秒 (日本時間)
composite number 合成数
196067751333647199405601828360852542369023954952670713448661630936926926416812361420987919024607649917491427712851<114>
prime factors 素因数
15050888797313120960673619478909860569490852160147<50>
13026988237973636550139450332751874213408314348964611200880724033<65>
factorization results 素因数分解の結果
01/18/15 08:15:09 v1.34.3, 
01/18/15 08:15:09 v1.34.3, ****************************
01/18/15 08:15:09 v1.34.3, Starting factorization of 196067751333647199405601828360852542369023954952670713448661630936926926416812361420987919024607649917491427712851
01/18/15 08:15:09 v1.34.3, using pretesting plan: none
01/18/15 08:15:09 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/18/15 08:15:09 v1.34.3, ****************************
01/18/15 08:15:09 v1.34.3, nfs: commencing nfs on c114: 196067751333647199405601828360852542369023954952670713448661630936926926416812361420987919024607649917491427712851
01/18/15 08:15:09 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/18/15 08:15:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/15 08:15:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
[295 lines snipped]
01/18/15 12:02:50 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/15 12:03:36 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/15 12:04:23 v1.34.3, nfs: commencing msieve filtering
01/18/15 12:06:09 v1.34.3, nfs: commencing msieve linear algebra
01/18/15 12:17:43 v1.34.3, nfs: commencing msieve sqrt
01/18/15 12:19:20 v1.34.3, prp50 = 15050888797313120960673619478909860569490852160147
01/18/15 12:19:20 v1.34.3, prp65 = 13026988237973636550139450332751874213408314348964611200880724033
01/18/15 12:19:20 v1.34.3, NFS elapsed time = 14651.0710 seconds.
01/18/15 12:19:20 v1.34.3, 
01/18/15 12:19:20 v1.34.3, 
01/18/15 12:19:20 v1.34.3, Total factoring time = 14651.0716 seconds
--
Sun Jan 18 12:04:23 2015  
Sun Jan 18 12:04:23 2015  commencing relation filtering
Sun Jan 18 12:04:23 2015  estimated available RAM is 15987.3 MB
Sun Jan 18 12:04:23 2015  commencing duplicate removal, pass 1
Sun Jan 18 12:04:50 2015  found 1935982 hash collisions in 10057400 relations
Sun Jan 18 12:04:58 2015  added 354526 free relations
Sun Jan 18 12:04:58 2015  commencing duplicate removal, pass 2
Sun Jan 18 12:05:07 2015  found 1723521 duplicates and 8688405 unique relations
Sun Jan 18 12:05:07 2015  memory use: 45.3 MB
Sun Jan 18 12:05:07 2015  reading ideals above 100000
Sun Jan 18 12:05:07 2015  commencing singleton removal, initial pass
Sun Jan 18 12:05:45 2015  memory use: 188.2 MB
Sun Jan 18 12:05:45 2015  reading all ideals from disk
Sun Jan 18 12:05:45 2015  memory use: 300.1 MB
Sun Jan 18 12:05:45 2015  keeping 9446126 ideals with weight <= 200, target excess is 45491
Sun Jan 18 12:05:46 2015  commencing in-memory singleton removal
Sun Jan 18 12:05:46 2015  begin with 8688405 relations and 9446126 unique ideals
Sun Jan 18 12:05:49 2015  reduce to 3710255 relations and 3255923 ideals in 13 passes
Sun Jan 18 12:05:49 2015  max relations containing the same ideal: 113
Sun Jan 18 12:05:50 2015  removing 863589 relations and 662808 ideals in 200781 cliques
Sun Jan 18 12:05:50 2015  commencing in-memory singleton removal
Sun Jan 18 12:05:50 2015  begin with 2846666 relations and 3255923 unique ideals
Sun Jan 18 12:05:51 2015  reduce to 2696273 relations and 2432642 ideals in 9 passes
Sun Jan 18 12:05:51 2015  max relations containing the same ideal: 92
Sun Jan 18 12:05:51 2015  removing 694958 relations and 494177 ideals in 200781 cliques
Sun Jan 18 12:05:52 2015  commencing in-memory singleton removal
Sun Jan 18 12:05:52 2015  begin with 2001315 relations and 2432642 unique ideals
Sun Jan 18 12:05:52 2015  reduce to 1882348 relations and 1810573 ideals in 9 passes
Sun Jan 18 12:05:52 2015  max relations containing the same ideal: 72
Sun Jan 18 12:05:53 2015  removing 104901 relations and 85896 ideals in 19005 cliques
Sun Jan 18 12:05:53 2015  commencing in-memory singleton removal
Sun Jan 18 12:05:53 2015  begin with 1777447 relations and 1810573 unique ideals
Sun Jan 18 12:05:53 2015  reduce to 1774090 relations and 1721292 ideals in 7 passes
Sun Jan 18 12:05:53 2015  max relations containing the same ideal: 69
Sun Jan 18 12:05:53 2015  relations with 0 large ideals: 1057
Sun Jan 18 12:05:53 2015  relations with 1 large ideals: 482
Sun Jan 18 12:05:53 2015  relations with 2 large ideals: 7602
Sun Jan 18 12:05:53 2015  relations with 3 large ideals: 53670
Sun Jan 18 12:05:53 2015  relations with 4 large ideals: 199729
Sun Jan 18 12:05:53 2015  relations with 5 large ideals: 416889
Sun Jan 18 12:05:53 2015  relations with 6 large ideals: 528158
Sun Jan 18 12:05:53 2015  relations with 7+ large ideals: 566503
Sun Jan 18 12:05:53 2015  commencing 2-way merge
Sun Jan 18 12:05:54 2015  reduce to 1121189 relation sets and 1068391 unique ideals
Sun Jan 18 12:05:54 2015  commencing full merge
Sun Jan 18 12:06:04 2015  memory use: 135.1 MB
Sun Jan 18 12:06:04 2015  found 581585 cycles, need 574591
Sun Jan 18 12:06:05 2015  weight of 574591 cycles is about 40233938 (70.02/cycle)
Sun Jan 18 12:06:05 2015  distribution of cycle lengths:
Sun Jan 18 12:06:05 2015  1 relations: 43287
Sun Jan 18 12:06:05 2015  2 relations: 57520
Sun Jan 18 12:06:05 2015  3 relations: 64074
Sun Jan 18 12:06:05 2015  4 relations: 62455
Sun Jan 18 12:06:05 2015  5 relations: 59735
Sun Jan 18 12:06:05 2015  6 relations: 54741
Sun Jan 18 12:06:05 2015  7 relations: 48896
Sun Jan 18 12:06:05 2015  8 relations: 41532
Sun Jan 18 12:06:05 2015  9 relations: 34749
Sun Jan 18 12:06:05 2015  10+ relations: 107602
Sun Jan 18 12:06:05 2015  heaviest cycle: 20 relations
Sun Jan 18 12:06:05 2015  commencing cycle optimization
Sun Jan 18 12:06:05 2015  start with 3526148 relations
Sun Jan 18 12:06:08 2015  pruned 100013 relations
Sun Jan 18 12:06:08 2015  memory use: 110.0 MB
Sun Jan 18 12:06:08 2015  distribution of cycle lengths:
Sun Jan 18 12:06:08 2015  1 relations: 43287
Sun Jan 18 12:06:08 2015  2 relations: 58690
Sun Jan 18 12:06:08 2015  3 relations: 66443
Sun Jan 18 12:06:08 2015  4 relations: 64258
Sun Jan 18 12:06:08 2015  5 relations: 61942
Sun Jan 18 12:06:08 2015  6 relations: 56107
Sun Jan 18 12:06:08 2015  7 relations: 50043
Sun Jan 18 12:06:08 2015  8 relations: 41824
Sun Jan 18 12:06:08 2015  9 relations: 34596
Sun Jan 18 12:06:08 2015  10+ relations: 97401
Sun Jan 18 12:06:08 2015  heaviest cycle: 20 relations
Sun Jan 18 12:06:09 2015  RelProcTime: 106
Sun Jan 18 12:06:09 2015  
Sun Jan 18 12:06:09 2015  commencing linear algebra
Sun Jan 18 12:06:09 2015  read 574591 cycles
Sun Jan 18 12:06:10 2015  cycles contain 1743613 unique relations
Sun Jan 18 12:06:21 2015  read 1743613 relations
Sun Jan 18 12:06:22 2015  using 20 quadratic characters above 134216448
Sun Jan 18 12:06:28 2015  building initial matrix
Sun Jan 18 12:06:37 2015  memory use: 208.1 MB
Sun Jan 18 12:06:37 2015  read 574591 cycles
Sun Jan 18 12:06:37 2015  matrix is 574417 x 574591 (171.3 MB) with weight 50323966 (87.58/col)
Sun Jan 18 12:06:37 2015  sparse part has weight 38580540 (67.14/col)
Sun Jan 18 12:06:40 2015  filtering completed in 2 passes
Sun Jan 18 12:06:40 2015  matrix is 574336 x 574510 (171.3 MB) with weight 50321442 (87.59/col)
Sun Jan 18 12:06:40 2015  sparse part has weight 38579583 (67.15/col)
Sun Jan 18 12:06:41 2015  matrix starts at (0, 0)
Sun Jan 18 12:06:41 2015  matrix is 574336 x 574510 (171.3 MB) with weight 50321442 (87.59/col)
Sun Jan 18 12:06:41 2015  sparse part has weight 38579583 (67.15/col)
Sun Jan 18 12:06:41 2015  saving the first 48 matrix rows for later
Sun Jan 18 12:06:41 2015  matrix includes 64 packed rows
Sun Jan 18 12:06:41 2015  matrix is 574288 x 574510 (161.6 MB) with weight 40013648 (69.65/col)
Sun Jan 18 12:06:41 2015  sparse part has weight 36609968 (63.72/col)
Sun Jan 18 12:06:41 2015  using block size 65536 for processor cache size 8192 kB
Sun Jan 18 12:06:42 2015  commencing Lanczos iteration (8 threads)
Sun Jan 18 12:06:42 2015  memory use: 156.7 MB
Sun Jan 18 12:06:46 2015  linear algebra at 0.5%, ETA 0h12m
Sun Jan 18 12:17:43 2015  lanczos halted after 9083 iterations (dim = 574284)
Sun Jan 18 12:17:43 2015  recovered 40 nontrivial dependencies
Sun Jan 18 12:17:43 2015  BLanczosTime: 694
Sun Jan 18 12:17:43 2015  
Sun Jan 18 12:17:43 2015  commencing square root phase
Sun Jan 18 12:17:43 2015  reading relations for dependency 1
Sun Jan 18 12:17:43 2015  read 287298 cycles
Sun Jan 18 12:17:43 2015  cycles contain 871498 unique relations
Sun Jan 18 12:17:51 2015  read 871498 relations
Sun Jan 18 12:17:53 2015  multiplying 871498 relations
Sun Jan 18 12:18:10 2015  multiply complete, coefficients have about 26.19 million bits
Sun Jan 18 12:18:10 2015  initial square root is modulo 33152311
Sun Jan 18 12:18:32 2015  GCD is 1, no factor found
Sun Jan 18 12:18:32 2015  reading relations for dependency 2
Sun Jan 18 12:18:32 2015  read 286741 cycles
Sun Jan 18 12:18:32 2015  cycles contain 870438 unique relations
Sun Jan 18 12:18:40 2015  read 870438 relations
Sun Jan 18 12:18:42 2015  multiplying 870438 relations
Sun Jan 18 12:18:59 2015  multiply complete, coefficients have about 26.16 million bits
Sun Jan 18 12:18:59 2015  initial square root is modulo 32478181
Sun Jan 18 12:19:20 2015  sqrtTime: 97
--
n: 196067751333647199405601828360852542369023954952670713448661630936926926416812361420987919024607649917491427712851
m: 10000000000000000000000000000000
deg: 5
c5: 700
c0: -277
skew: 0.83
# Murphy_E = 4.646e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62444444Pierre JammesJanuary 9, 2015 14:42:26 UTC 2015 年 1 月 9 日 (金) 23 時 42 分 26 秒 (日本時間)
2000CypJanuary 17, 2015 11:00:00 UTC 2015 年 1 月 17 日 (土) 20 時 0 分 0 秒 (日本時間)

7×10158-2779

c137

name 名前Jo Yeong Uk
date 日付January 20, 2015 12:15:19 UTC 2015 年 1 月 20 日 (火) 21 時 15 分 19 秒 (日本時間)
composite number 合成数
12862013069202520263283601706921578865566140482310101931934083069592677967527434531736370853344486107494958023089159837402849108192767801<137>
prime factors 素因数
9389048380269627048805167549036132757854216395298042751<55>
1369895280998984419068007808174928198457407201388313823326117406393785296908212551<82>
factorization results 素因数分解の結果
Number: 77747_158
N=12862013069202520263283601706921578865566140482310101931934083069592677967527434531736370853344486107494958023089159837402849108192767801
  ( 137 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=9389048380269627048805167549036132757854216395298042751
 r2=1369895280998984419068007808174928198457407201388313823326117406393785296908212551
Version: 
Total time: 11.22 hours.
Scaled time: 58.94 units (timescale=5.254).
Factorization parameters were as follows:
n: 12862013069202520263283601706921578865566140482310101931934083069592677967527434531736370853344486107494958023089159837402849108192767801
m: 20000000000000000000000000000000
deg: 5
c5: 875
c0: -1108
skew: 1.05
# Murphy_E = 4.317e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 3225001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8600661
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 598077 x 598325
Total sieving time: 10.30 hours.
Total relation processing time: 0.47 hours.
Matrix solve time: 0.33 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,75000
total time: 11.22 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:06:12 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 12 秒 (日本時間)

7×10159-2779

c138

name 名前Serge Batalov
date 日付January 8, 2015 23:39:47 UTC 2015 年 1 月 9 日 (金) 8 時 39 分 47 秒 (日本時間)
composite number 合成数
458889759176257503981127100915914986402001730598635034636952851976237355839176413355020319229281323517456511636787922537782594037206792651<138>
prime factors 素因数
594288754666018711668558962114879209<36>
772166317422826897473682258049410187946618080589036668369939419550026197490299552958926754991148411539<102>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1235995946
Step 1 took 9818ms
Step 2 took 8627ms
********** Factor found in step 2: 594288754666018711668558962114879209
Found probable prime factor of 36 digits: 594288754666018711668558962114879209
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10160-2779

c138

name 名前Jo Yeong Uk
date 日付January 23, 2015 12:59:49 UTC 2015 年 1 月 23 日 (金) 21 時 59 分 49 秒 (日本時間)
composite number 合成数
160363604685104674691635982775290257977691971479089703312371685558609723373779803121360247379240311658208292735768323566610043451366176947<138>
prime factors 素因数
98833528346587801429866391354602550124611699209486085339<56>
1622562781759082884098069700172394141834636027605754712039676830385525053866884873<82>
factorization results 素因数分解の結果
Number: 77747_160
N=160363604685104674691635982775290257977691971479089703312371685558609723373779803121360247379240311658208292735768323566610043451366176947
  ( 138 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=98833528346587801429866391354602550124611699209486085339
 r2=1622562781759082884098069700172394141834636027605754712039676830385525053866884873
Version: 
Total time: 9.86 hours.
Scaled time: 51.83 units (timescale=5.259).
Factorization parameters were as follows:
n: 160363604685104674691635982775290257977691971479089703312371685558609723373779803121360247379240311658208292735768323566610043451366176947
m: 100000000000000000000000000000000
deg: 5
c5: 7
c0: -277
skew: 2.09
# Murphy_E = 4.837e-10
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1650000, 3075001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9119616
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 694417 x 694665
Total sieving time: 8.96 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 0.45 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,75000
total time: 9.86 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:06:13 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 13 秒 (日本時間)

7×10161-2779

c131

name 名前Serge Batalov
date 日付January 8, 2015 23:07:22 UTC 2015 年 1 月 9 日 (金) 8 時 7 分 22 秒 (日本時間)
composite number 合成数
89747184451288699524436988083003780552980061450710306639597111065657388937004496563618912521799674102224874755096810432988534577203<131>
prime factors 素因数
482614499892402949394557528957165122187<39>
185960397939343906724984007373571442577276656059769743977315165790790945057877548952408894969<93>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1603372287
Step 1 took 7583ms
Step 2 took 6864ms
********** Factor found in step 2: 482614499892402949394557528957165122187
Found probable prime factor of 39 digits: 482614499892402949394557528957165122187
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

7×10162-2779

c141

name 名前Jo Yeong Uk
date 日付February 1, 2015 09:25:17 UTC 2015 年 2 月 1 日 (日) 18 時 25 分 17 秒 (日本時間)
composite number 合成数
111232357895870608875412590842837962883228056218095469303563925956059747611139743470881081114323981587346838870747110620444123665541798553109<141>
prime factors 素因数
3455305131436704359663878414600854433939<40>
32191761267005836071515492424052052302562663539656523204680346613516165774857735811536837694893359031<101>
factorization results 素因数分解の結果
Number: 77747_162
N=111232357895870608875412590842837962883228056218095469303563925956059747611139743470881081114323981587346838870747110620444123665541798553109
  ( 141 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=3455305131436704359663878414600854433939
 r2=32191761267005836071515492424052052302562663539656523204680346613516165774857735811536837694893359031
Version: 
Total time: 15.48 hours.
Scaled time: 81.33 units (timescale=5.254).
Factorization parameters were as follows:
n: 111232357895870608875412590842837962883228056218095469303563925956059747611139743470881081114323981587346838870747110620444123665541798553109
m: 100000000000000000000000000000000
deg: 5
c5: 700
c0: -277
skew: 0.83
# Murphy_E = 2.976e-10
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 4100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9803055
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 767327 x 767575
Total sieving time: 14.33 hours.
Total relation processing time: 0.54 hours.
Matrix solve time: 0.56 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 15.48 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.88 BogoMIPS (lpj=3399941)
Total of 12 processors activated (81598.58 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:06:14 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 14 秒 (日本時間)

7×10164-2779

c163

name 名前Maksym Voznyy
date 日付January 31, 2015 23:33:38 UTC 2015 年 2 月 1 日 (日) 8 時 33 分 38 秒 (日本時間)
composite number 合成数
2681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164750957854406130268199233716475095785440613026819923371647509578543<163>
prime factors 素因数
105075679044528223550716493015662549478993087728385096460094973<63>
25524387389666026618512437039451021848232744995160589714419823360711700578190910318236971191866632091<101>
factorization results 素因数分解の結果
Number: example5
N = 2681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164750957854406130268199233716475095785440613026819923371647509578543 (163 digits)
SNFS difficulty: 166 digits.
Divisors found:
r1=363306228558363960091871192977 (pp30)
r2=105075679044528223550716493015662549478993087728385096460094973 (pp63)
r3=112469564937850430830913771168778262785206001271095936435581101997464100656288726193265107121569 (pp96)
r4=25524387389666026618512437039451021848232744995160589714419823360711700578190910318236971191866632091 (pp101)
Version: Msieve v. 1.51 (SVN 845)
Total time: 12.58 hours.
Factorization parameters were as follows:
n: 2681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164750957854406130268199233716475095785440613026819923371647509578543
m: 500000000000000000000000000000000
deg: 5
c5: 112
c0: -1385
skew: 1.65
# Murphy_E = 3.118e-10
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 9729748
Relations: 1098404 relations
Pruned matrix : 665919 x 666144
Polynomial selection time: 0.00 hours.
Total sieving time: 11.55 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.77 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: snfs,166,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 12.58 hours.
x86 Family 6 Model 15 Stepping 6, GenuineIntel
Windows-XP-5.1.2600-SP3
processors: 4, speed: 2.66GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:06:15 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 15 秒 (日本時間)

7×10165-2779

c145

name 名前Serge Batalov
date 日付January 9, 2015 03:52:51 UTC 2015 年 1 月 9 日 (金) 12 時 52 分 51 秒 (日本時間)
composite number 合成数
4775661595703695471578046898206150913045939437825805416306602279325214895434864499541667788716233186863019166869815365666735612161249249676100573<145>
prime factors 素因数
124914793580825673799627345362148271704067<42>
composite cofactor 合成数の残り
38231353219293602621670982447476604434612081208608634202874035225537805756461319635094984738858494389919<104>
factorization results 素因数分解の結果
Input number is 4775661595703695471578046898206150913045939437825805416306602279325214895434864499541667788716233186863019166869815365666735612161249249676100573 (145 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=166229795
Step 1 took 9846ms
Step 2 took 8664ms
********** Factor found in step 2: 124914793580825673799627345362148271704067
Found probable prime factor of 42 digits: 124914793580825673799627345362148271704067
Composite cofactor 38231353219293602621670982447476604434612081208608634202874035225537805756461319635094984738858494389919 has 104 digits

c104

name 名前Cyp
date 日付January 18, 2015 22:59:02 UTC 2015 年 1 月 19 日 (月) 7 時 59 分 2 秒 (日本時間)
composite number 合成数
38231353219293602621670982447476604434612081208608634202874035225537805756461319635094984738858494389919<104>
prime factors 素因数
107052434115551327279081200472886477948921491856407<51>
357127360392637706122841840426119624117766960370233017<54>
factorization results 素因数分解の結果
01/10/15 00:18:41 v1.34.3, 
01/10/15 00:18:41 v1.34.3, ****************************
01/10/15 00:18:41 v1.34.3, Starting factorization of 38231353219293602621670982447476604434612081208608634202874035225537805756461319635094984738858494389919
01/10/15 00:18:41 v1.34.3, using pretesting plan: none
01/10/15 00:18:41 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/10/15 00:18:41 v1.34.3, ****************************
01/10/15 00:18:41 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C104
01/10/15 00:18:41 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C104
01/10/15 00:18:41 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C104
01/10/15 00:18:41 v1.34.3, final ECM pretested depth: 0.00
01/10/15 00:18:41 v1.34.3, scheduler: switching to sieve method
01/10/15 00:18:41 v1.34.3, nfs: commencing nfs on c104: 38231353219293602621670982447476604434612081208608634202874035225537805756461319635094984738858494389919
01/10/15 00:18:41 v1.34.3, nfs: commencing poly selection with 8 threads
01/10/15 00:18:41 v1.34.3, nfs: setting deadline of 212 seconds
01/10/15 00:22:32 v1.34.3, nfs: completed 60 ranges of size 250 in 231.6335 seconds
01/10/15 00:22:32 v1.34.3, nfs: best poly = # norm 3.875532e-14 alpha -5.735800 e 7.201e-09 rroots 4
01/10/15 00:22:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 00:23:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
[16 lines snipped]
01/10/15 00:46:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 00:48:17 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 00:49:38 v1.34.3, nfs: commencing msieve filtering
01/10/15 00:50:18 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 00:51:38 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 00:52:56 v1.34.3, nfs: commencing msieve filtering
01/18/15 23:27:34 v1.34.3, 
01/18/15 23:27:34 v1.34.3, ****************************
01/18/15 23:27:34 v1.34.3, Starting factorization of 38231353219293602621670982447476604434612081208608634202874035225537805756461319635094984738858494389919
01/18/15 23:27:34 v1.34.3, using pretesting plan: none
01/18/15 23:27:34 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/18/15 23:27:34 v1.34.3, ****************************
01/18/15 23:27:34 v1.34.3, nfs: commencing nfs on c104: 38231353219293602621670982447476604434612081208608634202874035225537805756461319635094984738858494389919
01/18/15 23:27:34 v1.34.3, nfs: resuming with sieving at user specified special-q 1620000
01/18/15 23:27:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/15 23:30:54 v1.34.3, c104 cofactor = 38231353219293602621670982447476604434612081208608634202874035225537805756461319635094984738858494389919
01/18/15 23:30:54 v1.34.3, Total factoring time = 199.5055 seconds
01/18/15 23:54:41 v1.34.3, 
01/18/15 23:54:41 v1.34.3, ****************************
01/18/15 23:54:41 v1.34.3, Starting factorization of 38231353219293602621670982447476604434612081208608634202874035225537805756461319635094984738858494389919
01/18/15 23:54:41 v1.34.3, using pretesting plan: none
01/18/15 23:54:41 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/18/15 23:54:41 v1.34.3, ****************************
01/18/15 23:54:41 v1.34.3, nfs: previous data file found - commencing search for last special-q
01/18/15 23:54:45 v1.34.3, nfs: parsing special-q from .dat file
01/18/15 23:54:45 v1.34.3, nfs: commencing nfs on c104: 38231353219293602621670982447476604434612081208608634202874035225537805756461319635094984738858494389919
01/18/15 23:54:45 v1.34.3, nfs: resuming with filtering
01/18/15 23:54:45 v1.34.3, nfs: commencing msieve filtering
01/18/15 23:55:45 v1.34.3, nfs: commencing msieve linear algebra
01/18/15 23:58:02 v1.34.3, nfs: commencing msieve sqrt
01/18/15 23:59:00 v1.34.3, prp51 = 107052434115551327279081200472886477948921491856407
01/18/15 23:59:00 v1.34.3, prp54 = 357127360392637706122841840426119624117766960370233017
01/18/15 23:59:01 v1.34.3, NFS elapsed time = 259.7061 seconds.
01/18/15 23:59:01 v1.34.3, 
01/18/15 23:59:01 v1.34.3, 
01/18/15 23:59:01 v1.34.3, Total factoring time = 259.7065 seconds
--
Sat Jan 10 00:49:38 2015  
Sat Jan 10 00:49:38 2015  commencing relation filtering
Sat Jan 10 00:49:38 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 00:49:38 2015  commencing duplicate removal, pass 1
Sat Jan 10 00:49:51 2015  found 440174 hash collisions in 4608348 relations
Sat Jan 10 00:49:55 2015  added 157726 free relations
Sat Jan 10 00:49:55 2015  commencing duplicate removal, pass 2
Sat Jan 10 00:49:58 2015  found 198613 duplicates and 4567461 unique relations
Sat Jan 10 00:49:58 2015  memory use: 20.6 MB
Sat Jan 10 00:49:58 2015  reading ideals above 100000
Sat Jan 10 00:49:58 2015  commencing singleton removal, initial pass
Sat Jan 10 00:50:16 2015  memory use: 172.2 MB
Sat Jan 10 00:50:16 2015  reading all ideals from disk
Sat Jan 10 00:50:16 2015  memory use: 144.9 MB
Sat Jan 10 00:50:16 2015  keeping 5470878 ideals with weight <= 200, target excess is 21880
Sat Jan 10 00:50:16 2015  commencing in-memory singleton removal
Sat Jan 10 00:50:17 2015  begin with 4567461 relations and 5470878 unique ideals
Sat Jan 10 00:50:18 2015  reduce to 1024202 relations and 1101862 ideals in 28 passes
Sat Jan 10 00:50:18 2015  max relations containing the same ideal: 74
Sat Jan 10 00:52:56 2015  
Sat Jan 10 00:52:56 2015  commencing relation filtering
Sat Jan 10 00:52:56 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 00:52:56 2015  commencing duplicate removal, pass 1
Sat Jan 10 00:53:11 2015  found 536437 hash collisions in 5201757 relations
Sat Jan 10 00:53:14 2015  added 1529 free relations
Sat Jan 10 00:53:14 2015  commencing duplicate removal, pass 2
Sat Jan 10 00:53:18 2015  found 234190 duplicates and 4969096 unique relations
Sat Jan 10 00:53:18 2015  memory use: 20.6 MB
Sat Jan 10 00:53:18 2015  reading ideals above 100000
Sat Jan 10 00:53:18 2015  commencing singleton removal, initial pass
Sat Jan 10 00:53:38 2015  memory use: 172.2 MB
Sat Jan 10 00:53:38 2015  reading all ideals from disk
Sat Jan 10 00:53:38 2015  memory use: 157.8 MB
Sat Jan 10 00:53:38 2015  keeping 5654913 ideals with weight <= 200, target excess is 23693
Sat Jan 10 00:53:38 2015  commencing in-memory singleton removal
Sat Jan 10 00:53:38 2015  begin with 4969096 relations and 5654913 unique ideals
Sat Jan 10 00:53:40 2015  reduce to 1587504 relations and 1555139 ideals in 20 passes
Sat Jan 10 00:53:40 2015  max relations containing the same ideal: 97
Sat Jan 10 00:53:40 2015  relations with 0 large ideals: 455
Sat Jan 10 00:53:40 2015  relations with 1 large ideals: 249
Sat Jan 10 00:53:40 2015  relations with 2 large ideals: 3568
Sat Jan 10 00:53:40 2015  relations with 3 large ideals: 30033
Sat Jan 10 00:53:40 2015  relations with 4 large ideals: 136537
Sat Jan 10 00:53:40 2015  relations with 5 large ideals: 366158
Sat Jan 10 00:53:40 2015  relations with 6 large ideals: 489428
Sat Jan 10 00:53:40 2015  relations with 7+ large ideals: 561076
Sat Jan 10 00:53:40 2015  commencing 2-way merge
Sat Jan 10 00:53:41 2015  reduce to 853221 relation sets and 821309 unique ideals
Sat Jan 10 00:53:41 2015  ignored 453 oversize relation sets
Sat Jan 10 00:53:41 2015  commencing full merge
Sat Jan 10 00:53:54 2015  memory use: 40.6 MB
Sat Jan 10 00:53:54 2015  found 53887 cycles, need 183489
Sat Jan 10 00:53:54 2015  too few cycles, matrix probably cannot build
Sun Jan 18 23:54:45 2015  
Sun Jan 18 23:54:45 2015  commencing relation filtering
Sun Jan 18 23:54:45 2015  estimated available RAM is 15987.3 MB
Sun Jan 18 23:54:45 2015  commencing duplicate removal, pass 1
Sun Jan 18 23:55:02 2015  found 647096 hash collisions in 5777818 relations
Sun Jan 18 23:55:06 2015  added 1499 free relations
Sun Jan 18 23:55:06 2015  commencing duplicate removal, pass 2
Sun Jan 18 23:55:10 2015  found 284860 duplicates and 5494457 unique relations
Sun Jan 18 23:55:10 2015  memory use: 20.6 MB
Sun Jan 18 23:55:10 2015  reading ideals above 100000
Sun Jan 18 23:55:10 2015  commencing singleton removal, initial pass
Sun Jan 18 23:55:32 2015  memory use: 172.2 MB
Sun Jan 18 23:55:33 2015  reading all ideals from disk
Sun Jan 18 23:55:33 2015  memory use: 174.6 MB
Sun Jan 18 23:55:33 2015  keeping 5870212 ideals with weight <= 200, target excess is 26332
Sun Jan 18 23:55:33 2015  commencing in-memory singleton removal
Sun Jan 18 23:55:33 2015  begin with 5494457 relations and 5870212 unique ideals
Sun Jan 18 23:55:35 2015  reduce to 2278735 relations and 2052858 ideals in 17 passes
Sun Jan 18 23:55:35 2015  max relations containing the same ideal: 116
Sun Jan 18 23:55:36 2015  removing 553993 relations and 456327 ideals in 97666 cliques
Sun Jan 18 23:55:36 2015  commencing in-memory singleton removal
Sun Jan 18 23:55:36 2015  begin with 1724742 relations and 2052858 unique ideals
Sun Jan 18 23:55:36 2015  reduce to 1611729 relations and 1476986 ideals in 10 passes
Sun Jan 18 23:55:36 2015  max relations containing the same ideal: 94
Sun Jan 18 23:55:37 2015  removing 422529 relations and 324863 ideals in 97666 cliques
Sun Jan 18 23:55:37 2015  commencing in-memory singleton removal
Sun Jan 18 23:55:37 2015  begin with 1189200 relations and 1476986 unique ideals
Sun Jan 18 23:55:37 2015  reduce to 1096595 relations and 1053451 ideals in 10 passes
Sun Jan 18 23:55:37 2015  max relations containing the same ideal: 70
Sun Jan 18 23:55:37 2015  removing 88445 relations and 75847 ideals in 12598 cliques
Sun Jan 18 23:55:37 2015  commencing in-memory singleton removal
Sun Jan 18 23:55:37 2015  begin with 1008150 relations and 1053451 unique ideals
Sun Jan 18 23:55:38 2015  reduce to 1003090 relations and 972498 ideals in 7 passes
Sun Jan 18 23:55:38 2015  max relations containing the same ideal: 65
Sun Jan 18 23:55:38 2015  relations with 0 large ideals: 497
Sun Jan 18 23:55:38 2015  relations with 1 large ideals: 363
Sun Jan 18 23:55:38 2015  relations with 2 large ideals: 4774
Sun Jan 18 23:55:38 2015  relations with 3 large ideals: 33276
Sun Jan 18 23:55:38 2015  relations with 4 large ideals: 123489
Sun Jan 18 23:55:38 2015  relations with 5 large ideals: 264749
Sun Jan 18 23:55:38 2015  relations with 6 large ideals: 299224
Sun Jan 18 23:55:38 2015  relations with 7+ large ideals: 276718
Sun Jan 18 23:55:38 2015  commencing 2-way merge
Sun Jan 18 23:55:38 2015  reduce to 578059 relation sets and 547467 unique ideals
Sun Jan 18 23:55:38 2015  commencing full merge
Sun Jan 18 23:55:43 2015  memory use: 62.6 MB
Sun Jan 18 23:55:43 2015  found 281321 cycles, need 277667
Sun Jan 18 23:55:43 2015  weight of 277667 cycles is about 19469146 (70.12/cycle)
Sun Jan 18 23:55:43 2015  distribution of cycle lengths:
Sun Jan 18 23:55:43 2015  1 relations: 27093
Sun Jan 18 23:55:43 2015  2 relations: 27020
Sun Jan 18 23:55:43 2015  3 relations: 27631
Sun Jan 18 23:55:43 2015  4 relations: 26384
Sun Jan 18 23:55:43 2015  5 relations: 24345
Sun Jan 18 23:55:43 2015  6 relations: 22410
Sun Jan 18 23:55:43 2015  7 relations: 20469
Sun Jan 18 23:55:43 2015  8 relations: 18173
Sun Jan 18 23:55:43 2015  9 relations: 15955
Sun Jan 18 23:55:43 2015  10+ relations: 68187
Sun Jan 18 23:55:43 2015  heaviest cycle: 24 relations
Sun Jan 18 23:55:43 2015  commencing cycle optimization
Sun Jan 18 23:55:43 2015  start with 1845715 relations
Sun Jan 18 23:55:45 2015  pruned 44639 relations
Sun Jan 18 23:55:45 2015  memory use: 59.5 MB
Sun Jan 18 23:55:45 2015  distribution of cycle lengths:
Sun Jan 18 23:55:45 2015  1 relations: 27093
Sun Jan 18 23:55:45 2015  2 relations: 27570
Sun Jan 18 23:55:45 2015  3 relations: 28529
Sun Jan 18 23:55:45 2015  4 relations: 27042
Sun Jan 18 23:55:45 2015  5 relations: 24992
Sun Jan 18 23:55:45 2015  6 relations: 22772
Sun Jan 18 23:55:45 2015  7 relations: 20929
Sun Jan 18 23:55:45 2015  8 relations: 18423
Sun Jan 18 23:55:45 2015  9 relations: 16053
Sun Jan 18 23:55:45 2015  10+ relations: 64264
Sun Jan 18 23:55:45 2015  heaviest cycle: 23 relations
Sun Jan 18 23:55:45 2015  RelProcTime: 60
Sun Jan 18 23:55:45 2015  
Sun Jan 18 23:55:45 2015  commencing linear algebra
Sun Jan 18 23:55:45 2015  read 277667 cycles
Sun Jan 18 23:55:45 2015  cycles contain 977554 unique relations
Sun Jan 18 23:55:51 2015  read 977554 relations
Sun Jan 18 23:55:51 2015  using 20 quadratic characters above 67107302
Sun Jan 18 23:55:54 2015  building initial matrix
Sun Jan 18 23:55:59 2015  memory use: 118.3 MB
Sun Jan 18 23:55:59 2015  read 277667 cycles
Sun Jan 18 23:55:59 2015  matrix is 277491 x 277667 (83.9 MB) with weight 26604458 (95.81/col)
Sun Jan 18 23:55:59 2015  sparse part has weight 18649783 (67.17/col)
Sun Jan 18 23:56:00 2015  filtering completed in 2 passes
Sun Jan 18 23:56:00 2015  matrix is 277240 x 277419 (83.8 MB) with weight 26593702 (95.86/col)
Sun Jan 18 23:56:00 2015  sparse part has weight 18646297 (67.21/col)
Sun Jan 18 23:56:01 2015  matrix starts at (0, 0)
Sun Jan 18 23:56:01 2015  matrix is 277240 x 277419 (83.8 MB) with weight 26593702 (95.86/col)
Sun Jan 18 23:56:01 2015  sparse part has weight 18646297 (67.21/col)
Sun Jan 18 23:56:01 2015  saving the first 48 matrix rows for later
Sun Jan 18 23:56:01 2015  matrix includes 64 packed rows
Sun Jan 18 23:56:01 2015  matrix is 277192 x 277419 (80.1 MB) with weight 21180379 (76.35/col)
Sun Jan 18 23:56:01 2015  sparse part has weight 18217682 (65.67/col)
Sun Jan 18 23:56:01 2015  using block size 65536 for processor cache size 8192 kB
Sun Jan 18 23:56:01 2015  commencing Lanczos iteration (8 threads)
Sun Jan 18 23:56:01 2015  memory use: 75.4 MB
Sun Jan 18 23:56:07 2015  linear algebra at 4.4%, ETA 0h 2m
Sun Jan 18 23:58:02 2015  lanczos halted after 4385 iterations (dim = 277192)
Sun Jan 18 23:58:02 2015  recovered 33 nontrivial dependencies
Sun Jan 18 23:58:02 2015  BLanczosTime: 137
Sun Jan 18 23:58:02 2015  
Sun Jan 18 23:58:02 2015  commencing square root phase
Sun Jan 18 23:58:02 2015  reading relations for dependency 1
Sun Jan 18 23:58:04 2015  read 138421 cycles
Sun Jan 18 23:58:04 2015  cycles contain 488000 unique relations
Sun Jan 18 23:58:08 2015  read 488000 relations
Sun Jan 18 23:58:09 2015  multiplying 488000 relations
Sun Jan 18 23:58:19 2015  multiply complete, coefficients have about 21.60 million bits
Sun Jan 18 23:58:19 2015  initial square root is modulo 1599863
Sun Jan 18 23:58:32 2015  GCD is 1, no factor found
Sun Jan 18 23:58:32 2015  reading relations for dependency 2
Sun Jan 18 23:58:32 2015  read 138740 cycles
Sun Jan 18 23:58:32 2015  cycles contain 488938 unique relations
Sun Jan 18 23:58:37 2015  read 488938 relations
Sun Jan 18 23:58:38 2015  multiplying 488938 relations
Sun Jan 18 23:58:48 2015  multiply complete, coefficients have about 21.64 million bits
Sun Jan 18 23:58:48 2015  initial square root is modulo 1642559
Sun Jan 18 23:59:00 2015  sqrtTime: 58
--
n: 38231353219293602621670982447476604434612081208608634202874035225537805756461319635094984738858494389919
skew: 1896612.25
c0: 46969251209493983637863014496
c1: 61863938949201612854516
c2: -47625753918082885
c3: -40355875488
c4: 9576
Y0: -7948955437321254472124067
Y1: 20482827329789
rlim: 2360000
alim: 2360000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:06:15 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 15 秒 (日本時間)

7×10167-2779

c140

name 名前Cyp
date 日付March 7, 2015 01:46:32 UTC 2015 年 3 月 7 日 (土) 10 時 46 分 32 秒 (日本時間)
composite number 合成数
38024691846376058984336853170773442494194566345013595974243059006156763943542118007610132977415709962246604997931246565104496734988600944917<140>
prime factors 素因数
113597978165510472349393623017741312935537<42>
334730357533077564103788692179355961591769348382071852741997704574417881621998942735945827547776741<99>
factorization results 素因数分解の結果
03/06/15 19:40:27 v1.34.3, 
03/06/15 19:40:27 v1.34.3, ****************************
03/06/15 19:40:27 v1.34.3, Starting factorization of 38024691846376058984336853170773442494194566345013595974243059006156763943542118007610132977415709962246604997931246565104496734988600944917
03/06/15 19:40:27 v1.34.3, using pretesting plan: none
03/06/15 19:40:27 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
03/06/15 19:40:27 v1.34.3, ****************************
03/06/15 19:40:27 v1.34.3, nfs: commencing nfs on c140: 38024691846376058984336853170773442494194566345013595974243059006156763943542118007610132977415709962246604997931246565104496734988600944917
03/06/15 19:40:27 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
03/06/15 19:40:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/06/15 19:43:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
[104 lines snipped]
03/07/15 02:03:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/07/15 02:07:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/07/15 02:10:35 v1.34.3, nfs: commencing msieve filtering
03/07/15 02:12:37 v1.34.3, nfs: commencing msieve linear algebra
03/07/15 02:45:02 v1.34.3, nfs: commencing msieve sqrt
03/07/15 02:46:31 v1.34.3, prp99 = 334730357533077564103788692179355961591769348382071852741997704574417881621998942735945827547776741
03/07/15 02:46:31 v1.34.3, prp42 = 113597978165510472349393623017741312935537
03/07/15 02:46:32 v1.34.3, NFS elapsed time = 25564.0709 seconds.
03/07/15 02:46:32 v1.34.3, 
03/07/15 02:46:32 v1.34.3, 
03/07/15 02:46:32 v1.34.3, Total factoring time = 25564.0718 seconds
--
Sat Mar  7 02:10:35 2015  
Sat Mar  7 02:10:35 2015  commencing relation filtering
Sat Mar  7 02:10:35 2015  estimated available RAM is 15987.3 MB
Sat Mar  7 02:10:35 2015  commencing duplicate removal, pass 1
Sat Mar  7 02:11:03 2015  skipped 1 relations with b > 2^32
Sat Mar  7 02:11:03 2015  found 1549514 hash collisions in 10058565 relations
Sat Mar  7 02:11:12 2015  added 365468 free relations
Sat Mar  7 02:11:12 2015  commencing duplicate removal, pass 2
Sat Mar  7 02:11:20 2015  found 1183584 duplicates and 9240449 unique relations
Sat Mar  7 02:11:20 2015  memory use: 41.3 MB
Sat Mar  7 02:11:20 2015  reading ideals above 100000
Sat Mar  7 02:11:20 2015  commencing singleton removal, initial pass
Sat Mar  7 02:12:01 2015  memory use: 344.5 MB
Sat Mar  7 02:12:01 2015  reading all ideals from disk
Sat Mar  7 02:12:02 2015  memory use: 336.4 MB
Sat Mar  7 02:12:02 2015  keeping 10315812 ideals with weight <= 200, target excess is 49353
Sat Mar  7 02:12:02 2015  commencing in-memory singleton removal
Sat Mar  7 02:12:03 2015  begin with 9240449 relations and 10315812 unique ideals
Sat Mar  7 02:12:06 2015  reduce to 3722861 relations and 3577696 ideals in 16 passes
Sat Mar  7 02:12:06 2015  max relations containing the same ideal: 113
Sat Mar  7 02:12:07 2015  removing 393197 relations and 349239 ideals in 43958 cliques
Sat Mar  7 02:12:07 2015  commencing in-memory singleton removal
Sat Mar  7 02:12:07 2015  begin with 3329664 relations and 3577696 unique ideals
Sat Mar  7 02:12:08 2015  reduce to 3294035 relations and 3192240 ideals in 8 passes
Sat Mar  7 02:12:08 2015  max relations containing the same ideal: 105
Sat Mar  7 02:12:09 2015  removing 295958 relations and 252000 ideals in 43958 cliques
Sat Mar  7 02:12:09 2015  commencing in-memory singleton removal
Sat Mar  7 02:12:09 2015  begin with 2998077 relations and 3192240 unique ideals
Sat Mar  7 02:12:10 2015  reduce to 2975795 relations and 2917655 ideals in 9 passes
Sat Mar  7 02:12:10 2015  max relations containing the same ideal: 95
Sat Mar  7 02:12:12 2015  relations with 0 large ideals: 1162
Sat Mar  7 02:12:12 2015  relations with 1 large ideals: 271
Sat Mar  7 02:12:12 2015  relations with 2 large ideals: 4118
Sat Mar  7 02:12:12 2015  relations with 3 large ideals: 37230
Sat Mar  7 02:12:12 2015  relations with 4 large ideals: 177726
Sat Mar  7 02:12:12 2015  relations with 5 large ideals: 492287
Sat Mar  7 02:12:12 2015  relations with 6 large ideals: 841071
Sat Mar  7 02:12:12 2015  relations with 7+ large ideals: 1421930
Sat Mar  7 02:12:12 2015  commencing 2-way merge
Sat Mar  7 02:12:13 2015  reduce to 1765109 relation sets and 1706969 unique ideals
Sat Mar  7 02:12:13 2015  commencing full merge
Sat Mar  7 02:12:31 2015  memory use: 213.6 MB
Sat Mar  7 02:12:31 2015  found 894555 cycles, need 887169
Sat Mar  7 02:12:31 2015  weight of 887169 cycles is about 62258913 (70.18/cycle)
Sat Mar  7 02:12:31 2015  distribution of cycle lengths:
Sat Mar  7 02:12:31 2015  1 relations: 114892
Sat Mar  7 02:12:31 2015  2 relations: 104977
Sat Mar  7 02:12:31 2015  3 relations: 100818
Sat Mar  7 02:12:31 2015  4 relations: 90063
Sat Mar  7 02:12:31 2015  5 relations: 80814
Sat Mar  7 02:12:31 2015  6 relations: 69030
Sat Mar  7 02:12:31 2015  7 relations: 59709
Sat Mar  7 02:12:31 2015  8 relations: 51097
Sat Mar  7 02:12:31 2015  9 relations: 42998
Sat Mar  7 02:12:31 2015  10+ relations: 172771
Sat Mar  7 02:12:31 2015  heaviest cycle: 24 relations
Sat Mar  7 02:12:31 2015  commencing cycle optimization
Sat Mar  7 02:12:32 2015  start with 5270812 relations
Sat Mar  7 02:12:36 2015  pruned 121108 relations
Sat Mar  7 02:12:36 2015  memory use: 174.2 MB
Sat Mar  7 02:12:36 2015  distribution of cycle lengths:
Sat Mar  7 02:12:36 2015  1 relations: 114892
Sat Mar  7 02:12:36 2015  2 relations: 107144
Sat Mar  7 02:12:36 2015  3 relations: 104016
Sat Mar  7 02:12:36 2015  4 relations: 92078
Sat Mar  7 02:12:36 2015  5 relations: 82430
Sat Mar  7 02:12:36 2015  6 relations: 70018
Sat Mar  7 02:12:36 2015  7 relations: 60207
Sat Mar  7 02:12:36 2015  8 relations: 50889
Sat Mar  7 02:12:36 2015  9 relations: 42801
Sat Mar  7 02:12:36 2015  10+ relations: 162694
Sat Mar  7 02:12:36 2015  heaviest cycle: 24 relations
Sat Mar  7 02:12:37 2015  RelProcTime: 122
Sat Mar  7 02:12:38 2015  
Sat Mar  7 02:12:38 2015  commencing linear algebra
Sat Mar  7 02:12:38 2015  read 887169 cycles
Sat Mar  7 02:12:38 2015  cycles contain 2913385 unique relations
Sat Mar  7 02:12:51 2015  read 2913385 relations
Sat Mar  7 02:12:53 2015  using 20 quadratic characters above 134217410
Sat Mar  7 02:13:02 2015  building initial matrix
Sat Mar  7 02:13:17 2015  memory use: 351.8 MB
Sat Mar  7 02:13:17 2015  read 887169 cycles
Sat Mar  7 02:13:17 2015  matrix is 886991 x 887169 (266.1 MB) with weight 77849556 (87.75/col)
Sat Mar  7 02:13:17 2015  sparse part has weight 59988148 (67.62/col)
Sat Mar  7 02:13:21 2015  filtering completed in 2 passes
Sat Mar  7 02:13:21 2015  matrix is 886183 x 886361 (266.0 MB) with weight 77824592 (87.80/col)
Sat Mar  7 02:13:21 2015  sparse part has weight 59979856 (67.67/col)
Sat Mar  7 02:13:23 2015  matrix starts at (0, 0)
Sat Mar  7 02:13:23 2015  matrix is 886183 x 886361 (266.0 MB) with weight 77824592 (87.80/col)
Sat Mar  7 02:13:23 2015  sparse part has weight 59979856 (67.67/col)
Sat Mar  7 02:13:23 2015  saving the first 48 matrix rows for later
Sat Mar  7 02:13:23 2015  matrix includes 64 packed rows
Sat Mar  7 02:13:24 2015  matrix is 886135 x 886361 (251.5 MB) with weight 62219900 (70.20/col)
Sat Mar  7 02:13:24 2015  sparse part has weight 57075489 (64.39/col)
Sat Mar  7 02:13:24 2015  using block size 65536 for processor cache size 8192 kB
Sat Mar  7 02:13:25 2015  commencing Lanczos iteration (8 threads)
Sat Mar  7 02:13:25 2015  memory use: 245.9 MB
Sat Mar  7 02:13:32 2015  linear algebra at 0.3%, ETA 0h33m
Sat Mar  7 02:45:01 2015  lanczos halted after 14014 iterations (dim = 886133)
Sat Mar  7 02:45:02 2015  recovered 40 nontrivial dependencies
Sat Mar  7 02:45:02 2015  BLanczosTime: 1944
Sat Mar  7 02:45:02 2015  
Sat Mar  7 02:45:02 2015  commencing square root phase
Sat Mar  7 02:45:02 2015  reading relations for dependency 1
Sat Mar  7 02:45:02 2015  read 443576 cycles
Sat Mar  7 02:45:02 2015  cycles contain 1457864 unique relations
Sat Mar  7 02:45:12 2015  read 1457864 relations
Sat Mar  7 02:45:15 2015  multiplying 1457864 relations
Sat Mar  7 02:45:49 2015  multiply complete, coefficients have about 45.34 million bits
Sat Mar  7 02:45:49 2015  initial square root is modulo 3229181
Sat Mar  7 02:46:31 2015  sqrtTime: 89
--
n: 38024691846376058984336853170773442494194566345013595974243059006156763943542118007610132977415709962246604997931246565104496734988600944917
m: 1000000000000000000000000000000000
deg: 5
c5: 700
c0: -277
skew: 0.83
# Murphy_E = 1.897e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:16 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 16 秒 (日本時間)
4511e61024 / 4409Justin CardFebruary 13, 2015 02:44:32 UTC 2015 年 2 月 13 日 (金) 11 時 44 分 32 秒 (日本時間)

7×10168-2779

c162

name 名前Ignacio Santos
date 日付February 17, 2015 12:22:45 UTC 2015 年 2 月 17 日 (火) 21 時 22 分 45 秒 (日本時間)
composite number 合成数
251047738771773325553722548422894793459976875634142105142164210110746840842153268015732659693349490765800684664565970916549830842240417445049146719220283021896061<162>
prime factors 素因数
15782019978519844020607189811540021599841<41>
15907199402450538645475308189662593751953509469473943307409888294914602338755392531565703118823568809986568175739087243421<122>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:553921659
Step 1 took 12391ms
Step 2 took 7156ms
********** Factor found in step 2: 15782019978519844020607189811540021599841
Found probable prime factor of 41 digits: 15782019978519844020607189811540021599841
Probable prime cofactor 15907199402450538645475308189662593751953509469473943307409888294914602338755392531565703118823568809986568175739087243421 has 122 digits
 
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:06:16 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 16 秒 (日本時間)

7×10170-2779

c158

name 名前Jo Yeong Uk
date 日付April 10, 2015 15:34:05 UTC 2015 年 4 月 11 日 (土) 0 時 34 分 5 秒 (日本時間)
composite number 合成数
64015937470119941002848732236545486898084239850314192065004693858890307950799809577101313742982768651708535379554991679929193471395528347481707342759043142173<158>
prime factors 素因数
5569385371786735035882909831241887679285013748167799611<55>
11494255325625411390982643635627895821302306931089357558887283377881420797291761838924164164675710519943<104>
factorization results 素因数分解の結果
Number: 77747_170
N=64015937470119941002848732236545486898084239850314192065004693858890307950799809577101313742982768651708535379554991679929193471395528347481707342759043142173
  ( 158 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=5569385371786735035882909831241887679285013748167799611
 r2=11494255325625411390982643635627895821302306931089357558887283377881420797291761838924164164675710519943
Version: 
Total time: 23.99 hours.
Scaled time: 124.56 units (timescale=5.193).
Factorization parameters were as follows:
n: 64015937470119941002848732236545486898084239850314192065004693858890307950799809577101313742982768651708535379554991679929193471395528347481707342759043142173
m: 10000000000000000000000000000000000
deg: 5
c5: 7
c0: -277
skew: 2.09
# Murphy_E = 1.96e-10
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 6000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11347299
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 981376 x 981624
Total sieving time: 22.09 hours.
Total relation processing time: 0.86 hours.
Matrix solve time: 0.99 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000
total time: 23.99 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62652300Serge BatalovJanuary 9, 2015 00:06:17 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 17 秒 (日本時間)
1CypJanuary 9, 2015 00:38:00 UTC 2015 年 1 月 9 日 (金) 9 時 38 分 0 秒 (日本時間)
1CypJanuary 9, 2015 07:18:36 UTC 2015 年 1 月 9 日 (金) 16 時 18 分 36 秒 (日本時間)
2350Ignacio SantosFebruary 11, 2015 22:33:29 UTC 2015 年 2 月 12 日 (木) 7 時 33 分 29 秒 (日本時間)

7×10177-2779

c151

name 名前Serge Batalov
date 日付January 9, 2015 03:52:55 UTC 2015 年 1 月 9 日 (金) 12 時 52 分 55 秒 (日本時間)
composite number 合成数
4412138057040878207974763966455910853744195893294081452925549080513455021485540536991023633709630886382054490708410960111632624474624630024598039989763<151>
prime factors 素因数
23950852131534807165153291734891<32>
184216329039568984480494852434703195592060365819271587570301671577644816619563800210971097295142352406129494033342273993<120>
factorization results 素因数分解の結果
Input number is 4412138057040878207974763966455910853744195893294081452925549080513455021485540536991023633709630886382054490708410960111632624474624630024598039989763 (151 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2541663416
Step 1 took 9862ms
Step 2 took 9004ms
********** Factor found in step 2: 23950852131534807165153291734891
Found probable prime factor of 32 digits: 23950852131534807165153291734891
Probable prime cofactor 184216329039568984480494852434703195592060365819271587570301671577644816619563800210971097295142352406129494033342273993 has 120 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:06:17 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 17 秒 (日本時間)

7×10178-2779

c162

name 名前Serge Batalov
date 日付January 9, 2015 03:52:59 UTC 2015 年 1 月 9 日 (金) 12 時 52 分 59 秒 (日本時間)
composite number 合成数
740019897635803597763861995698967069846670563137746285236444921981987942086147342397037052339189657323399261666922212119041882834041346188319425770797772449572033<162>
prime factors 素因数
1324161963417740592366078739441632329<37>
558859050539231874116640017572580653623120514705799823119199458661860926198165776082642388153173169980050063179776931311496377<126>
factorization results 素因数分解の結果
Input number is 740019897635803597763861995698967069846670563137746285236444921981987942086147342397037052339189657323399261666922212119041882834041346188319425770797772449572033 (162 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2339943872
Step 1 took 11671ms
********** Factor found in step 1: 1324161963417740592366078739441632329
Found probable prime factor of 37 digits: 1324161963417740592366078739441632329
Probable prime cofactor 558859050539231874116640017572580653623120514705799823119199458661860926198165776082642388153173169980050063179776931311496377 has 126 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301 / 2318300Serge BatalovJanuary 9, 2015 00:06:18 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 18 秒 (日本時間)
1CypJanuary 9, 2015 01:06:47 UTC 2015 年 1 月 9 日 (金) 10 時 6 分 47 秒 (日本時間)

7×10179-2779

c167

name 名前Jo Yeong Uk
date 日付December 16, 2015 12:50:49 UTC 2015 年 12 月 16 日 (水) 21 時 50 分 49 秒 (日本時間)
composite number 合成数
37826559808388884026587156942051083224285361414136530391907338524319397531199226208670910749054672432713660803380151354425717514381466245116834385871781134510238009799<167>
prime factors 素因数
599883180385511602132006861700571505853775858660402020079311<60>
63056543415802815057182575426170378672479873988843404738586343952904021221927920605786006391566230361136009<107>
factorization results 素因数分解の結果
Number: 77747_179
N=37826559808388884026587156942051083224285361414136530391907338524319397531199226208670910749054672432713660803380151354425717514381466245116834385871781134510238009799
  ( 167 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=599883180385511602132006861700571505853775858660402020079311
 r2=63056543415802815057182575426170378672479873988843404738586343952904021221927920605786006391566230361136009
Version: 
Total time: 51.31 hours.
Scaled time: 239.69 units (timescale=4.671).
Factorization parameters were as follows:
n: 37826559808388884026587156942051083224285361414136530391907338524319397531199226208670910749054672432713660803380151354425717514381466245116834385871781134510238009799
m: 1000000000000000000000000000000000000
deg: 5
c5: 7
c0: -2770
skew: 3.31
# Murphy_E = 7.903e-11
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [2900000, 5300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18111150
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1237365 x 1237613
Total sieving time: 48.34 hours.
Total relation processing time: 1.14 hours.
Matrix solve time: 1.76 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,53,53,2.5,2.5,100000
total time: 51.31 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:06:18 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 18 秒 (日本時間)
1CypJanuary 9, 2015 00:15:02 UTC 2015 年 1 月 9 日 (金) 9 時 15 分 2 秒 (日本時間)
4511e6600 / 4409KTakahashiMay 14, 2015 20:35:32 UTC 2015 年 5 月 15 日 (金) 5 時 35 分 32 秒 (日本時間)

7×10181-2779

c136

name 名前Jo Yeong Uk
date 日付January 24, 2016 03:15:36 UTC 2016 年 1 月 24 日 (日) 12 時 15 分 36 秒 (日本時間)
composite number 合成数
4972267851392500666063941152117978995097426685652070427521403208672741774004856751817894082928917210142957920225086330179732819336308011<136>
prime factors 素因数
119922176478667037512540494311324774130375265983723450104411111<63>
41462455047061438750829200290025023237350417508964102647302200024542927901<74>
factorization results 素因数分解の結果
Number: 77747_181
N=4972267851392500666063941152117978995097426685652070427521403208672741774004856751817894082928917210142957920225086330179732819336308011
  ( 136 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=119922176478667037512540494311324774130375265983723450104411111
 r2=41462455047061438750829200290025023237350417508964102647302200024542927901
Version: 
Total time: 67.17 hours.
Scaled time: 353.05 units (timescale=5.256).
Factorization parameters were as follows:
n: 4972267851392500666063941152117978995097426685652070427521403208672741774004856751817894082928917210142957920225086330179732819336308011
m: 1000000000000000000000000000000000000
deg: 5
c5: 70
c0: -277
skew: 1.32
# Murphy_E = 6.297e-11
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, 6300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18542847
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1423554 x 1423802
Total sieving time: 63.01 hours.
Total relation processing time: 1.52 hours.
Matrix solve time: 2.38 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 67.17 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:19 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 19 秒 (日本時間)
4511e6585 / 3833CypJanuary 24, 2015 10:44:24 UTC 2015 年 1 月 24 日 (土) 19 時 44 分 24 秒 (日本時間)
5043e6164 / 7410Pierre JammesMarch 16, 2015 10:27:14 UTC 2015 年 3 月 16 日 (月) 19 時 27 分 14 秒 (日本時間)

7×10183-2779

c157

name 名前KTakahashi
date 日付May 22, 2015 09:52:47 UTC 2015 年 5 月 22 日 (金) 18 時 52 分 47 秒 (日本時間)
composite number 合成数
4796177580883092767957673967713892720905962572498637242635157672477439754666725765210572609313745052376538451753953577986777868238732176826924711833683838967<157>
prime factors 素因数
124473128024460223843843465298111522873<39>
38531831384044558976542401134294018272442752903416234208333385217341156595214881133184450872279153202769006485411484079<119>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 4796177580883092767957673967713892720905962572498637242635157672477439754666725765210572609313745052376538451753953577986777868238732176826924711833683838967 (157 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2312496729
Step 1 took 49546ms
Step 2 took 19812ms
********** Factor found in step 2: 124473128024460223843843465298111522873
Found probable prime factor of 39 digits: 124473128024460223843843465298111522873
Probable prime cofactor 38531831384044558976542401134294018272442752903416234208333385217341156595214881133184450872279153202769006485411484079 has 119 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:06:20 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 20 秒 (日本時間)

7×10184-2779

c176

name 名前Serge Batalov
date 日付January 9, 2015 03:53:03 UTC 2015 年 1 月 9 日 (金) 12 時 53 分 3 秒 (日本時間)
composite number 合成数
55447924401330324662417807868320760948177028806859372109937838575571401574286816538398230641523779999260847483202037440635877810939359501840258390559532078704751504451304319071<176>
prime factors 素因数
20186018860862364119890987886447<32>
2746847943793189419069740446725857301398932044943983739608043451243776658865142454886153637030834532336482866479670183434599141950710709810648593<145>
factorization results 素因数分解の結果
Input number is 55447924401330324662417807868320760948177028806859372109937838575571401574286816538398230641523779999260847483202037440635877810939359501840258390559532078704751504451304319071 (176 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3321393215
Step 1 took 16508ms
Step 2 took 11373ms
********** Factor found in step 2: 20186018860862364119890987886447
Found probable prime factor of 32 digits: 20186018860862364119890987886447
Probable prime cofactor 2746847943793189419069740446725857301398932044943983739608043451243776658865142454886153637030834532336482866479670183434599141950710709810648593 has 145 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:06:20 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 20 秒 (日本時間)

7×10186-2779

c173

name 名前LegionMammal978
date 日付February 10, 2017 00:20:11 UTC 2017 年 2 月 10 日 (金) 9 時 20 分 11 秒 (日本時間)
composite number 合成数
19323976705744596517326567131193588368315175422060658736290686474754003530745466222437461086983725534599505088762625163050400738358062329986443786597734891044931390139349013<173>
prime factors 素因数
60923086843854837632876286339882301297491570349906138799110833755998331276007857<80>
317186434680693771495731596404073006443475220039842721541475588704246703534516943925567551909<93>
factorization results 素因数分解の結果
Thu Feb  9 17:01:44 2017  Msieve v. 1.53 (SVN Unversioned directory)
Thu Feb  9 17:01:44 2017  random seeds: d30ac79c bcedf721
Thu Feb  9 17:01:44 2017  factoring 19323976705744596517326567131193588368315175422060658736290686474754003530745466222437461086983725534599505088762625163050400738358062329986443786597734891044931390139349013 (173 digits)
Thu Feb  9 17:01:45 2017  no P-1/P+1/ECM available, skipping
Thu Feb  9 17:01:45 2017  commencing number field sieve (173-digit input)
Thu Feb  9 17:01:45 2017  R0: -10000000000000000000000000000000000000
Thu Feb  9 17:01:45 2017  R1: 1
Thu Feb  9 17:01:45 2017  A0: -277
Thu Feb  9 17:01:45 2017  A1: 0
Thu Feb  9 17:01:45 2017  A2: 0
Thu Feb  9 17:01:45 2017  A3: 0
Thu Feb  9 17:01:45 2017  A4: 0
Thu Feb  9 17:01:45 2017  A5: 70
Thu Feb  9 17:01:45 2017  skew 1.32, size 2.842e-13, alpha 1.040, combined = 3.943e-11 rroots = 1
Thu Feb  9 17:01:45 2017  
Thu Feb  9 17:01:45 2017  commencing relation filtering
Thu Feb  9 17:01:45 2017  estimated available RAM is 15929.4 MB
Thu Feb  9 17:01:45 2017  commencing duplicate removal, pass 1
Thu Feb  9 17:04:26 2017  skipped 1 relations with composite factors
Thu Feb  9 17:04:26 2017  found 3364014 hash collisions in 22223490 relations
Thu Feb  9 17:04:46 2017  added 367 free relations
Thu Feb  9 17:04:46 2017  commencing duplicate removal, pass 2
Thu Feb  9 17:04:52 2017  found 3067227 duplicates and 19156630 unique relations
Thu Feb  9 17:04:52 2017  memory use: 98.6 MB
Thu Feb  9 17:04:52 2017  reading ideals above 720000
Thu Feb  9 17:04:52 2017  commencing singleton removal, initial pass
Thu Feb  9 17:06:48 2017  memory use: 689.0 MB
Thu Feb  9 17:06:48 2017  reading all ideals from disk
Thu Feb  9 17:06:49 2017  memory use: 609.9 MB
Thu Feb  9 17:06:49 2017  keeping 21345371 ideals with weight <= 200, target excess is 115662
Thu Feb  9 17:06:50 2017  commencing in-memory singleton removal
Thu Feb  9 17:06:51 2017  begin with 19156630 relations and 21345371 unique ideals
Thu Feb  9 17:07:00 2017  reduce to 7679446 relations and 7504613 ideals in 24 passes
Thu Feb  9 17:07:00 2017  max relations containing the same ideal: 105
Thu Feb  9 17:07:02 2017  removing 320785 relations and 300452 ideals in 20333 cliques
Thu Feb  9 17:07:03 2017  commencing in-memory singleton removal
Thu Feb  9 17:07:03 2017  begin with 7358661 relations and 7504613 unique ideals
Thu Feb  9 17:07:06 2017  reduce to 7346444 relations and 7191888 ideals in 8 passes
Thu Feb  9 17:07:06 2017  max relations containing the same ideal: 103
Thu Feb  9 17:07:07 2017  removing 230370 relations and 210037 ideals in 20333 cliques
Thu Feb  9 17:07:08 2017  commencing in-memory singleton removal
Thu Feb  9 17:07:08 2017  begin with 7116074 relations and 7191888 unique ideals
Thu Feb  9 17:07:11 2017  reduce to 7109324 relations and 6975074 ideals in 8 passes
Thu Feb  9 17:07:11 2017  max relations containing the same ideal: 100
Thu Feb  9 17:07:12 2017  relations with 0 large ideals: 2801
Thu Feb  9 17:07:12 2017  relations with 1 large ideals: 910
Thu Feb  9 17:07:12 2017  relations with 2 large ideals: 16340
Thu Feb  9 17:07:12 2017  relations with 3 large ideals: 129471
Thu Feb  9 17:07:12 2017  relations with 4 large ideals: 552567
Thu Feb  9 17:07:12 2017  relations with 5 large ideals: 1370097
Thu Feb  9 17:07:12 2017  relations with 6 large ideals: 2098532
Thu Feb  9 17:07:12 2017  relations with 7+ large ideals: 2938606
Thu Feb  9 17:07:12 2017  commencing 2-way merge
Thu Feb  9 17:07:15 2017  reduce to 4129770 relation sets and 3995523 unique ideals
Thu Feb  9 17:07:15 2017  ignored 3 oversize relation sets
Thu Feb  9 17:07:15 2017  commencing full merge
Thu Feb  9 17:07:56 2017  memory use: 481.0 MB
Thu Feb  9 17:07:56 2017  found 2120127 cycles, need 2107723
Thu Feb  9 17:07:56 2017  weight of 2107723 cycles is about 147668349 (70.06/cycle)
Thu Feb  9 17:07:56 2017  distribution of cycle lengths:
Thu Feb  9 17:07:56 2017  1 relations: 319190
Thu Feb  9 17:07:56 2017  2 relations: 277929
Thu Feb  9 17:07:56 2017  3 relations: 258172
Thu Feb  9 17:07:56 2017  4 relations: 221530
Thu Feb  9 17:07:56 2017  5 relations: 188214
Thu Feb  9 17:07:56 2017  6 relations: 153799
Thu Feb  9 17:07:56 2017  7 relations: 129671
Thu Feb  9 17:07:56 2017  8 relations: 105574
Thu Feb  9 17:07:56 2017  9 relations: 84935
Thu Feb  9 17:07:56 2017  10+ relations: 368709
Thu Feb  9 17:07:56 2017  heaviest cycle: 27 relations
Thu Feb  9 17:07:57 2017  commencing cycle optimization
Thu Feb  9 17:07:59 2017  start with 12013056 relations
Thu Feb  9 17:08:09 2017  pruned 250214 relations
Thu Feb  9 17:08:09 2017  memory use: 407.3 MB
Thu Feb  9 17:08:09 2017  distribution of cycle lengths:
Thu Feb  9 17:08:09 2017  1 relations: 319190
Thu Feb  9 17:08:09 2017  2 relations: 283590
Thu Feb  9 17:08:09 2017  3 relations: 266484
Thu Feb  9 17:08:09 2017  4 relations: 225538
Thu Feb  9 17:08:09 2017  5 relations: 190921
Thu Feb  9 17:08:09 2017  6 relations: 154651
Thu Feb  9 17:08:09 2017  7 relations: 129176
Thu Feb  9 17:08:09 2017  8 relations: 104158
Thu Feb  9 17:08:09 2017  9 relations: 83370
Thu Feb  9 17:08:09 2017  10+ relations: 350645
Thu Feb  9 17:08:09 2017  heaviest cycle: 27 relations
Thu Feb  9 17:08:11 2017  RelProcTime: 386
Thu Feb  9 17:08:12 2017  elapsed time 00:06:28
Thu Feb 09 17:08:12 2017 LatSieveTime: 1089.62
Thu Feb 09 17:08:12 2017 -> Running matrix solving step ...
Thu Feb 09 17:08:12 2017 -> ./msieve -s 77747_186/77747_186.dat -l 77747_186/77747_186.log -i 77747_186/77747_186.ini -nf 77747_186/77747_186.fb -t 6 -nc2
Thu Feb  9 17:08:12 2017  
Thu Feb  9 17:08:12 2017  
Thu Feb  9 17:08:12 2017  Msieve v. 1.53 (SVN Unversioned directory)
Thu Feb  9 17:08:12 2017  random seeds: 4790d4dd 7e60295e
Thu Feb  9 17:08:12 2017  factoring 19323976705744596517326567131193588368315175422060658736290686474754003530745466222437461086983725534599505088762625163050400738358062329986443786597734891044931390139349013 (173 digits)
Thu Feb  9 17:08:13 2017  no P-1/P+1/ECM available, skipping
Thu Feb  9 17:08:13 2017  commencing number field sieve (173-digit input)
Thu Feb  9 17:08:13 2017  R0: -10000000000000000000000000000000000000
Thu Feb  9 17:08:13 2017  R1: 1
Thu Feb  9 17:08:13 2017  A0: -277
Thu Feb  9 17:08:13 2017  A1: 0
Thu Feb  9 17:08:13 2017  A2: 0
Thu Feb  9 17:08:13 2017  A3: 0
Thu Feb  9 17:08:13 2017  A4: 0
Thu Feb  9 17:08:13 2017  A5: 70
Thu Feb  9 17:08:13 2017  skew 1.32, size 2.842e-13, alpha 1.040, combined = 3.943e-11 rroots = 1
Thu Feb  9 17:08:13 2017  
Thu Feb  9 17:08:13 2017  commencing linear algebra
Thu Feb  9 17:08:13 2017  read 2107723 cycles
Thu Feb  9 17:08:15 2017  cycles contain 6936108 unique relations
Thu Feb  9 17:08:48 2017  read 6936108 relations
Thu Feb  9 17:08:52 2017  using 20 quadratic characters above 4294917295
Thu Feb  9 17:09:18 2017  building initial matrix
Thu Feb  9 17:09:57 2017  memory use: 853.4 MB
Thu Feb  9 17:09:58 2017  read 2107723 cycles
Thu Feb  9 17:09:58 2017  matrix is 2107544 x 2107723 (632.9 MB) with weight 186125701 (88.31/col)
Thu Feb  9 17:09:58 2017  sparse part has weight 142727254 (67.72/col)
Thu Feb  9 17:10:09 2017  filtering completed in 2 passes
Thu Feb  9 17:10:10 2017  matrix is 2104707 x 2104886 (632.7 MB) with weight 186027850 (88.38/col)
Thu Feb  9 17:10:10 2017  sparse part has weight 142692438 (67.79/col)
Thu Feb  9 17:10:14 2017  matrix starts at (0, 0)
Thu Feb  9 17:10:14 2017  matrix is 2104707 x 2104886 (632.7 MB) with weight 186027850 (88.38/col)
Thu Feb  9 17:10:14 2017  sparse part has weight 142692438 (67.79/col)
Thu Feb  9 17:10:14 2017  saving the first 48 matrix rows for later
Thu Feb  9 17:10:14 2017  matrix includes 64 packed rows
Thu Feb  9 17:10:14 2017  matrix is 2104659 x 2104886 (598.9 MB) with weight 147492910 (70.07/col)
Thu Feb  9 17:10:14 2017  sparse part has weight 135940546 (64.58/col)
Thu Feb  9 17:10:14 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Thu Feb  9 17:10:19 2017  commencing Lanczos iteration (6 threads)
Thu Feb  9 17:10:19 2017  memory use: 480.3 MB
Thu Feb  9 17:10:24 2017  linear algebra at 0.1%, ETA 1h55m
Thu Feb  9 17:10:26 2017  checkpointing every 1050000 dimensions
Thu Feb  9 19:00:01 2017  lanczos halted after 33280 iterations (dim = 2104657)
Thu Feb  9 19:00:03 2017  recovered 36 nontrivial dependencies
Thu Feb  9 19:00:03 2017  BLanczosTime: 6710
Thu Feb  9 19:00:03 2017  elapsed time 01:51:51
Thu Feb 09 19:00:03 2017 -> Running square root step ...
Thu Feb 09 19:00:03 2017 -> ./msieve -s 77747_186/77747_186.dat -l 77747_186/77747_186.log -i 77747_186/77747_186.ini -nf 77747_186/77747_186.fb -t 6 -nc3
Thu Feb  9 19:00:03 2017  
Thu Feb  9 19:00:03 2017  
Thu Feb  9 19:00:03 2017  Msieve v. 1.53 (SVN Unversioned directory)
Thu Feb  9 19:00:03 2017  random seeds: da582780 8116710e
Thu Feb  9 19:00:03 2017  factoring 19323976705744596517326567131193588368315175422060658736290686474754003530745466222437461086983725534599505088762625163050400738358062329986443786597734891044931390139349013 (173 digits)
Thu Feb  9 19:00:04 2017  no P-1/P+1/ECM available, skipping
Thu Feb  9 19:00:04 2017  commencing number field sieve (173-digit input)
Thu Feb  9 19:00:04 2017  R0: -10000000000000000000000000000000000000
Thu Feb  9 19:00:04 2017  R1: 1
Thu Feb  9 19:00:04 2017  A0: -277
Thu Feb  9 19:00:04 2017  A1: 0
Thu Feb  9 19:00:04 2017  A2: 0
Thu Feb  9 19:00:04 2017  A3: 0
Thu Feb  9 19:00:04 2017  A4: 0
Thu Feb  9 19:00:04 2017  A5: 70
Thu Feb  9 19:00:04 2017  skew 1.32, size 2.842e-13, alpha 1.040, combined = 3.943e-11 rroots = 1
Thu Feb  9 19:00:04 2017  
Thu Feb  9 19:00:04 2017  commencing square root phase
Thu Feb  9 19:00:04 2017  reading relations for dependency 1
Thu Feb  9 19:00:04 2017  read 1053344 cycles
Thu Feb  9 19:00:05 2017  cycles contain 3468136 unique relations
Thu Feb  9 19:00:22 2017  read 3468136 relations
Thu Feb  9 19:00:32 2017  multiplying 3468136 relations
Thu Feb  9 19:02:03 2017  multiply complete, coefficients have about 100.12 million bits
Thu Feb  9 19:02:03 2017  initial square root is modulo 15356251
Thu Feb  9 19:04:00 2017  GCD is 1, no factor found
Thu Feb  9 19:04:00 2017  reading relations for dependency 2
Thu Feb  9 19:04:00 2017  read 1051045 cycles
Thu Feb  9 19:04:01 2017  cycles contain 3466552 unique relations
Thu Feb  9 19:04:18 2017  read 3466552 relations
Thu Feb  9 19:04:27 2017  multiplying 3466552 relations
Thu Feb  9 19:05:56 2017  multiply complete, coefficients have about 100.07 million bits
Thu Feb  9 19:05:57 2017  initial square root is modulo 15242831
Thu Feb  9 19:07:57 2017  sqrtTime: 473
Thu Feb  9 19:07:57 2017  p80 factor: 60923086843854837632876286339882301297491570349906138799110833755998331276007857
Thu Feb  9 19:07:57 2017  p93 factor: 317186434680693771495731596404073006443475220039842721541475588704246703534516943925567551909
Thu Feb  9 19:07:57 2017  elapsed time 00:07:54
software ソフトウェア
Msieve 1.53 snfs
execution environment 実行環境
64-bit Ubuntu 16.04.1 LTS, Core i7-2600K 3.4GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:21 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 21 秒 (日本時間)
4511e6600 / 4409KTakahashiJune 3, 2015 13:01:41 UTC 2015 年 6 月 3 日 (水) 22 時 1 分 41 秒 (日本時間)

7×10187-2779

c166

name 名前Serge Batalov
date 日付January 9, 2015 01:55:25 UTC 2015 年 1 月 9 日 (金) 10 時 55 分 25 秒 (日本時間)
composite number 合成数
1787069912419625078374358172676258316805198628638183535354934272787370873556839649195997286887816012820737793363923360108289838630085968563999831328202962956652786357<166>
prime factors 素因数
26918649861218869153227833911<29>
1502511409654520861356632222043421<34>
44184555556687687026050573200426810013640773340324909932648612338519773238269843630992811822716520266447<104>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1100801550
Step 1 took 11690ms
Step 2 took 10119ms
********** Factor found in step 2: 26918649861218869153227833911
Found probable prime factor of 29 digits: 26918649861218869153227833911

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1703343039
Step 1 took 11032ms
Step 2 took 8706ms
********** Factor found in step 2: 1502511409654520861356632222043421
Found probable prime factor of 34 digits: 1502511409654520861356632222043421

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:06:22 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 22 秒 (日本時間)

7×10188-2779

c175

name 名前Kenji Ibusuki
date 日付March 23, 2018 14:20:48 UTC 2018 年 3 月 23 日 (金) 23 時 20 分 48 秒 (日本時間)
composite number 合成数
2843862071432175177968749879195166010181529959018169089554562869554885017031687446353724456185785441989478024676689183503726892533564086396819150553765254261285961537741912961<175>
prime factors 素因数
2203536370221277424001072444715275907639457989645811743<55>
1290590030581885399313887871301117766245491734289534513910719390460628459397506732622571970655344520234869606376006111327<121>
factorization results 素因数分解の結果
Number: 77747_188
N=2843862071432175177968749879195166010181529959018169089554562869554885017031687446353724456185785441989478024676689183503726892533564086396819150553765254261285961537741912961
  ( 175 digits)
SNFS difficulty: 188 digits.
Divisors found: (Total dependency: 1)
 r1=2203536370221277424001072444715275907639457989645811743 (pp55)
 r2=1290590030581885399313887871301117766245491734289534513910719390460628459397506732622571970655344520234869606376006111327 (pp121)
Msieve version: Msieve v. 1.49 (SVN unknown)
GGNFS version: GGNFS-0.77.1-VC8(UTE)
Total time: 423.76 hours (20.98 calendar hours).
Scaled time: 1915.80 units (timescale=4.521).
Factorization parameters were as follows:
n: 2843862071432175177968749879195166010181529959018169089554562869554885017031687446353724456185785441989478024676689183503726892533564086396819150553765254261285961537741912961
m: 10000000000000000000000000000000000000
deg: 5
c5: 7000
c0: -277
skew: 0.52
# Murphy_E = 2.771e-11
type: snfs
lss: 1
rlim: 9800000
alim: 9800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
relslim: 28300000
qintsize: 5000

Polynomial score was as follows:
skew 0.52, size 1.864e-013, alpha 0.112, combined = 3.113e-011 rroots = 1
Factor base limits: 9800000/9800000
Large primes per side: 3
Large prime bits: 28/28
Sieved special-q in [4900000, 29140001)
Relations: raw-rels:28441557 rels:23777429, finalFF:1857274
Pruned matrix : 1856719 x 1856944
Total sieving time: 408.88 hours (18.64 calendar hours).
Total relation processing time: 0.11 hours.
Total matrix build processing time: 0.06 hours.
Matrix pruned processing time: (N/A)
Matrix solve time: 14.63 hours (2.09 calendar hours).
Total time of square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9800000,9800000,28,28,54,54,2.5,2.5,100000
total time: 423.76 hours (20.98 calendar hours).
 --------- CPU info (if available) ----------
software ソフトウェア
Msieve v. 1.49 (SVN unknown) + GGNFS-0.77.1-VC8 with 
factMsieve.pl (decomposed + modified) snfs
(without procrels.exe, matbuild.exe for "finalFF" calculation)
execution environment 実行環境
[Envilonment]
  PC #1   (Master) --- Intel Core i7 2600, 16GB RAM, Windows 7 64bit
  PC #2,3 (Slave)  --- Intel Core i7 4770, 16GB RAM, Windows 7 64bit
  PC #4   (Slave)  --- Intel Core 2 Quad Q6600, 4GB RAM, Windows Vista 32bit

[Threads used]
  (Sieving)
    PC #1   --- 7 threads used
    PC #2,3 --- 7 threads used x 2
    PC #4   --- 4 threads used
  (Relation processing and Matrix build processing)
    PC #1   --- 1 thread used
  (Matrix solve)
    PC #1   --- 7 threads used
  (Square root processing)
    PC #1   --- 1 thread used

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:22 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 22 秒 (日本時間)
4511e6585 / 4409CypMay 11, 2015 05:31:06 UTC 2015 年 5 月 11 日 (月) 14 時 31 分 6 秒 (日本時間)

7×10191-2779

c165

name 名前Cyp
date 日付July 3, 2015 07:40:37 UTC 2015 年 7 月 3 日 (金) 16 時 40 分 37 秒 (日本時間)
composite number 合成数
830558863843255302954398170782697976191983868995721234797614375953661109982669908058046944457828021878945199217239386587939786420389768759241610254765258935033358623<165>
prime factors 素因数
86429867655539712489841585489823274957059<41>
composite cofactor 合成数の残り
9609627856349271263703601094784335651367695371308660421079791423179785151716849302835306505517097750549507985780856065302197<124>
factorization results 素因数分解の結果
Run 301 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2662464142
Step 1 took 35608ms
Step 2 took 10399ms
********** Factor found in step 2: 86429867655539712489841585489823274957059
Found probable prime factor of 41 digits: 86429867655539712489841585489823274957059
Composite cofactor 9609627856349271263703601094784335651367695371308660421079791423179785151716849302835306505517097750549507985780856065302197 has 124 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

c124

name 名前KTakahashi
date 日付July 4, 2015 01:25:22 UTC 2015 年 7 月 4 日 (土) 10 時 25 分 22 秒 (日本時間)
composite number 合成数
9609627856349271263703601094784335651367695371308660421079791423179785151716849302835306505517097750549507985780856065302197<124>
prime factors 素因数
30817936672934200057452165062438610579233<41>
311819313484050034429641353916733513057848795095893352142997021072829541828085522709<84>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 9609627856349271263703601094784335651367695371308660421079791423179785151716849302835306505517097750549507985780856065302197 (124 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2211234037
Step 1 took 36068ms
Step 2 took 15413ms
********** Factor found in step 2: 30817936672934200057452165062438610579233
Found probable prime factor of 41 digits: 30817936672934200057452165062438610579233
Probable prime cofactor 311819313484050034429641353916733513057848795095893352142997021072829541828085522709 has 84 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:23 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 23 秒 (日本時間)
4511e6585 / 4409CypJuly 3, 2015 07:40:37 UTC 2015 年 7 月 3 日 (金) 16 時 40 分 37 秒 (日本時間)

7×10194-2779

c192

name 名前Ben Meekins
date 日付November 12, 2015 05:25:28 UTC 2015 年 11 月 12 日 (木) 14 時 25 分 28 秒 (日本時間)
composite number 合成数
203075137800986364955033362344067304902814041195242239628662605163910646939367565999419785320568610385842761821874093414563388453727879315346678270960255294458949811430229184798375398897592109<192>
prime factors 素因数
56779526196638883154818035996795581066236833552030269250212451127173<68>
3576555695405002984167039621465630842466062138037026132483875197146415199268746052574958052574381410879783203181232491709833<124>
factorization results 素因数分解の結果
Number: 77747_194
N = 203075137800986364955033362344067304902814041195242239628662605163910646939367565999419785320568610385842761821874093414563388453727879315346678270960255294458949811430229184798375398897592109 (192 digits)
SNFS difficulty: 196 digits.
Divisors found:
r1=56779526196638883154818035996795581066236833552030269250212451127173 (pp68)
r2=3576555695405002984167039621465630842466062138037026132483875197146415199268746052574958052574381410879783203181232491709833 (pp124)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 58.15 hours.
Factorization parameters were as follows:
n: 203075137800986364955033362344067304902814041195242239628662605163910646939367565999419785320568610385842761821874093414563388453727879315346678270960255294458949811430229184798375398897592109
m: 500000000000000000000000000000000000000
deg: 5
c5: 112
c0: -1385
skew: 1.65
# Murphy_E = 1.924e-11
type: snfs
lss: 1
rlim: 12700000
alim: 12700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12700000/12700000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 25230139
Relations: 2913502 relations
Pruned matrix : 1907524 x 1907749
Polynomial selection time: 0.00 hours.
Total sieving time: 55.19 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 2.71 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: snfs,196,5,0,0,0,0,0,0,0,0,12700000,12700000,28,28,55,55,2.5,2.5,200000
total time: 58.15 hours.
x86_64
Linux-3.13.0-66-generic-x86_64-with-Ubuntu-14.04-trusty
processors: 4, speed: 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:06:23 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 23 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:08:53 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 53 秒 (日本時間)
4511e613 / 3944KTakahashiJuly 25, 2015 08:45:45 UTC 2015 年 7 月 25 日 (土) 17 時 45 分 45 秒 (日本時間)

7×10197-2779

c192

name 名前Bob Backstrom
date 日付February 25, 2021 19:40:08 UTC 2021 年 2 月 26 日 (金) 4 時 40 分 8 秒 (日本時間)
composite number 合成数
126518744565342141929812099782803463794040497204206856701435825083859335013863743288406527138180338734057056700459823340069552776119478518653471846054883469910318091620175546565495048869672499<192>
prime factors 素因数
295537520178363643023560773073710625779568622059621770994433421109<66>
428097063577528802780896150894486321201600133288783647347308428762083677579423127056991375566354135921228064595703887551296711<126>
factorization results 素因数分解の結果
Number: n
N=126518744565342141929812099782803463794040497204206856701435825083859335013863743288406527138180338734057056700459823340069552776119478518653471846054883469910318091620175546565495048869672499  ( 192 digits)
SNFS difficulty: 197 digits.
Divisors found:

Fri Feb 26 06:35:31 2021  p66 factor: 295537520178363643023560773073710625779568622059621770994433421109
Fri Feb 26 06:35:31 2021  p126 factor: 428097063577528802780896150894486321201600133288783647347308428762083677579423127056991375566354135921228064595703887551296711
Fri Feb 26 06:35:31 2021  elapsed time 01:31:00 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 7x10^197-277 = 7(195)47
#
n: 126518744565342141929812099782803463794040497204206856701435825083859335013863743288406527138180338734057056700459823340069552776119478518653471846054883469910318091620175546565495048869672499
m: 1000000000000000000000000000000000000000
deg: 5
c5: 700
c0: -277
skew: 0.83
# Murphy_E = 1.157e-11
type: snfs
lss: 1
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4670931 hash collisions in 29911770 relations (26606693 unique)
Msieve: matrix is 2026654 x 2026879 (706.9 MB)

Sieving start time: 2021/02/25 19:35:24
Sieving end time  : 2021/02/26 05:02:01

Total sieving time: 9hrs 26min 37secs.

Total relation processing time: 1hrs 19min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 1sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116873] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.153556] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798332)
[    0.152039] smpboot: Total of 16 processors activated (102386.65 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:24 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 24 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovJanuary 13, 2017 16:55:45 UTC 2017 年 1 月 14 日 (土) 1 時 55 分 45 秒 (日本時間)

7×10198-2779

c195

name 名前Bob Backstrom
date 日付March 17, 2021 21:26:01 UTC 2021 年 3 月 18 日 (木) 6 時 26 分 1 秒 (日本時間)
composite number 合成数
173649872243308278137481084567487782491131452953288184366550073181017588251345786509885639155565478405398030314306268760387983428840763067152886308947929845451613703455632457641834734935873582893<195>
prime factors 素因数
2279510331705433206229834564949585963951750958089412799528863479649088289605951<79>
76178585298795636151077719773668315154786589436163386658822022344828870729571650675054256516178394473486412327377043<116>
factorization results 素因数分解の結果
Number: n
N=173649872243308278137481084567487782491131452953288184366550073181017588251345786509885639155565478405398030314306268760387983428840763067152886308947929845451613703455632457641834734935873582893  ( 195 digits)
SNFS difficulty: 198 digits.
Divisors found:

Thu Mar 18 08:20:15 2021  p79 factor: 2279510331705433206229834564949585963951750958089412799528863479649088289605951
Thu Mar 18 08:20:15 2021  p116 factor: 76178585298795636151077719773668315154786589436163386658822022344828870729571650675054256516178394473486412327377043
Thu Mar 18 08:20:15 2021  elapsed time 01:17:40 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 7x10^198-277 = 7(196)47
#
n: 173649872243308278137481084567487782491131452953288184366550073181017588251345786509885639155565478405398030314306268760387983428840763067152886308947929845451613703455632457641834734935873582893
m: 1000000000000000000000000000000000
deg: 6
c6: 7
c0: -277
skew: 1.85
# Murphy_E = 1.277e-11
type: snfs
lss: 1
rlim: 14400000
alim: 14400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4824842 hash collisions in 31543780 relations (28711944 unique)
Msieve: matrix is 1785663 x 1785888 (619.8 MB)

Sieving start time : 2021/03/17 21:51:13
Sieving end time  : 2021/03/18 07:02:00

Total sieving time: 9hrs 10min 47secs.

Total relation processing time: 1hrs 6min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 33sec.

Prototype def-par.txt line would be:
snfs,198,6,0,0,0,0,0,0,0,0,14400000,14400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116745] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.152613] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.17 BogoMIPS (lpj=12798352)
[    0.150217] smpboot: Total of 16 processors activated (102386.81 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:06:24 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 24 秒 (日本時間)
1CypJanuary 9, 2015 00:39:20 UTC 2015 年 1 月 9 日 (金) 9 時 39 分 20 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:08:57 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 57 秒 (日本時間)

7×10199-2779

c174

name 名前Bob Backstrom
date 日付April 7, 2021 23:26:57 UTC 2021 年 4 月 8 日 (木) 8 時 26 分 57 秒 (日本時間)
composite number 合成数
614563381631231555448210407999259565256629846976364768659802359519632806444414765931126783572508082102515688926456815382274390298037710106596838039536506968419763941009720913<174>
prime factors 素因数
226558905912464853512536654814780487077928267604610716377131<60>
2712598646943851659356685485529045821320823488186566799058090750872127145698873357208558688716076703591220375959923<115>
factorization results 素因数分解の結果
Number: n
N=614563381631231555448210407999259565256629846976364768659802359519632806444414765931126783572508082102515688926456815382274390298037710106596838039536506968419763941009720913  ( 174 digits)
SNFS difficulty: 200 digits.
Divisors found:

Thu Apr  8 09:14:21 2021  p60 factor: 226558905912464853512536654814780487077928267604610716377131
Thu Apr  8 09:14:21 2021  p115 factor: 2712598646943851659356685485529045821320823488186566799058090750872127145698873357208558688716076703591220375959923
Thu Apr  8 09:14:21 2021  elapsed time 01:34:49 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.354).
Factorization parameters were as follows:
#
# N = 7x10^199-277 = 7(197)47
#
n: 614563381631231555448210407999259565256629846976364768659802359519632806444414765931126783572508082102515688926456815382274390298037710106596838039536506968419763941009720913
m: 5000000000000000000000000000000000000000
deg: 5
c5: 112
c0: -1385
skew: 1.65
# Murphy_E = 1.191e-11
type: snfs
lss: 1
rlim: 15400000
alim: 15400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15400000/15400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 27700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6144294 hash collisions in 50468835 relations (46364157 unique)
Msieve: matrix is 1950010 x 1950237 (683.2 MB)

Sieving start time : 2021/04/08 00:35:40
Sieving end time  : 2021/04/08 07:38:45

Total sieving time: 7hrs 3min 5secs.

Total relation processing time: 1hrs 14min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 46sec.

Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,15400000,15400000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119768] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153507] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.05 BogoMIPS (lpj=12798104)
[    0.152038] smpboot: Total of 16 processors activated (102384.83 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:25 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 25 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovJanuary 13, 2017 16:56:27 UTC 2017 年 1 月 14 日 (土) 1 時 56 分 27 秒 (日本時間)

7×10200-2779

c187

name 名前Eric Jeancolas
date 日付March 28, 2021 19:11:04 UTC 2021 年 3 月 29 日 (月) 4 時 11 分 4 秒 (日本時間)
composite number 合成数
2771907164334158755410855177737437931418335203486203161294346541542758502652843210061080740371402006974651997374794924045250209483641810068389290323644606495763143703779600661564310909591<187>
prime factors 素因数
28157944328031550959783541233113044326415540814539<50>
98441389472266763801614252901764923043883542161209339026604064666346709587430116758945541788311435261734186294840334514055363257106397669<137>
factorization results 素因数分解の結果
2771907164334158755410855177737437931418335203486203161294346541542758502652843210061080740371402006974651997374794924045250209483641810068389290323644606495763143703779600661564310909591=28157944328031550959783541233113044326415540814539*98441389472266763801614252901764923043883542161209339026604064666346709587430116758945541788311435261734186294840334514055363257106397669

cado polynomial
n: 2771907164334158755410855177737437931418335203486203161294346541542758502652843210061080740371402006974651997374794924045250209483641810068389290323644606495763143703779600661564310909591
skew: 2.09
type: snfs
c0: -277
c5: 7
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 7*x^5-277
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15600000
tasks.lim1 = 15600000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 98441389472266763801614252901764923043883542161209339026604064666346709587430116758945541788311435261734186294840334514055363257106397669 28157944328031550959783541233113044326415540814539
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 6.69/2.49147
Info:Generate Free Relations: Total cpu/real time for freerel: 196.72/50.7749
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49196307
Info:Lattice Sieving: Average J: 1893.82 for 4963643 special-q, max bucket fill -bkmult 1.0,1s:1.134160
Info:Lattice Sieving: Total time: 1.79377e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 94.21/259.502
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 258.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 823.82/799.243
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 698.7000000000002s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 632.14/746.822
Info:Filtering - Merging: Merged matrix has 3667546 rows and total weight 626754729 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 533.37/154.198
Info:Filtering - Merging: Total cpu/real time for replay: 147.61/128.417
Info:Linear Algebra: Total cpu/real time for bwc: 252405/64509.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 41356.63, iteration CPU time 0.34, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (114688 iterations)
Info:Linear Algebra: Lingen CPU time 807.02, WCT time 235.19
Info:Linear Algebra: Mksol: WCT time 22454.61, iteration CPU time 0.37, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (57344 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 133.64/55.5563
Info:Square Root: Total cpu/real time for sqrt: 1003.61/319.309
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.39066e+06/291204
Info:root: Cleaning up computation data in /tmp/cado.p6ne636_
98441389472266763801614252901764923043883542161209339026604064666346709587430116758945541788311435261734186294840334514055363257106397669 28157944328031550959783541233113044326415540814539
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
6 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:06:25 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 25 秒 (日本時間)
1CypJanuary 9, 2015 00:47:47 UTC 2015 年 1 月 9 日 (金) 9 時 47 分 47 秒 (日本時間)
4511e6585 / 4409CypMay 11, 2015 19:12:56 UTC 2015 年 5 月 12 日 (火) 4 時 12 分 56 秒 (日本時間)

7×10201-2779

c167

name 名前Serge Batalov
date 日付January 9, 2015 03:53:06 UTC 2015 年 1 月 9 日 (金) 12 時 53 分 6 秒 (日本時間)
composite number 合成数
53183956920117025985428635853139705916459502316215951199199776047343511222546568209455091115391238167291272258099286812070411561962281558548682629900242900247944454443<167>
prime factors 素因数
54708616693083126685706645659365619<35>
composite cofactor 合成数の残り
972131268068438199270378833879115150647460391030438527969716962835297787149507249998958212899060231293551669962192527327062217022697<132>
factorization results 素因数分解の結果
Input number is 53183956920117025985428635853139705916459502316215951199199776047343511222546568209455091115391238167291272258099286812070411561962281558548682629900242900247944454443 (167 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=708698594
Step 1 took 10935ms
Step 2 took 8694ms
********** Factor found in step 2: 54708616693083126685706645659365619
Found probable prime factor of 35 digits: 54708616693083126685706645659365619
Composite cofactor 972131268068438199270378833879115150647460391030438527969716962835297787149507249998958212899060231293551669962192527327062217022697 has 132 digits

c132

name 名前Erik Branger
date 日付March 11, 2015 16:38:33 UTC 2015 年 3 月 12 日 (木) 1 時 38 分 33 秒 (日本時間)
composite number 合成数
972131268068438199270378833879115150647460391030438527969716962835297787149507249998958212899060231293551669962192527327062217022697<132>
prime factors 素因数
6489910570241833885188268553494118853304956639228477767<55>
149791165463195838730877210475188343181270052092799720221939083194567914227791<78>
factorization results 素因数分解の結果
Number: 77747_201
N = 972131268068438199270378833879115150647460391030438527969716962835297787149507249998958212899060231293551669962192527327062217022697 (132 digits)
Divisors found:
r1=6489910570241833885188268553494118853304956639228477767 (pp55)
r2=149791165463195838730877210475188343181270052092799720221939083194567914227791 (pp78)
Version: Msieve v. 1.52 (SVN 958)
Total time: 70.81 hours.
Factorization parameters were as follows:
# Murphy_E = 5.812e-11, selected by Erik Branger
# expecting poly E from 6.30e-011 to > 7.24e-011
n: 972131268068438199270378833879115150647460391030438527969716962835297787149507249998958212899060231293551669962192527327062217022697
Y0: -37620705305881882785127731
Y1: 62655341651243
c0: 9797724806753407349070625555040
c1: 82263978446811006879376368
c2: -2115826907328854226181
c3: -41803006009572558
c4: 9543447626
c5: 12900
skew: 414041.87
type: gnfs
# selected mechanically
rlim: 11100000
alim: 11100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 11100000/11100000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19823869
Relations: 3085038 relations
Pruned matrix : 1791942 x 1792177
Polynomial selection time: 0.00 hours.
Total sieving time: 69.24 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.30 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,11100000,11100000,28,28,54,54,2.6,2.6,100000
total time: 70.81 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
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:06:26 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 26 秒 (日本時間)
2350Ignacio SantosFebruary 4, 2015 23:39:18 UTC 2015 年 2 月 5 日 (木) 8 時 39 分 18 秒 (日本時間)

7×10202-2779

c188

name 名前Bob Backstrom
date 日付May 28, 2021 13:36:08 UTC 2021 年 5 月 28 日 (金) 22 時 36 分 8 秒 (日本時間)
composite number 合成数
13049863179122012863797986656811627644161974146057382248686454917200825587443898126644686644413581848259282704587134410988051123145865429245788768185913842783191530068970966443207448887543<188>
prime factors 素因数
9409390365946358616683568123817124018881940101489980403100800104346077435192489449197455071<91>
1386897840518014276471558717002261609272637279554101826585759555133747391943309525988024078336233<97>
factorization results 素因数分解の結果
Number: n
N=13049863179122012863797986656811627644161974146057382248686454917200825587443898126644686644413581848259282704587134410988051123145865429245788768185913842783191530068970966443207448887543
  ( 188 digits)
SNFS difficulty: 202 digits.
Divisors found:

Fri May 28 23:30:40 2021  p91 factor: 9409390365946358616683568123817124018881940101489980403100800104346077435192489449197455071
Fri May 28 23:30:40 2021  p97 factor: 1386897840518014276471558717002261609272637279554101826585759555133747391943309525988024078336233
Fri May 28 23:30:40 2021  elapsed time 02:18:14 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 7x10^202-277 = 7(200)47
#
n: 13049863179122012863797986656811627644161974146057382248686454917200825587443898126644686644413581848259282704587134410988051123145865429245788768185913842783191530068970966443207448887543
m: 10000000000000000000000000000000000000000
deg: 5
c5: 700
c0: -277
skew: 0.83
# Murphy_E = 7.147e-12
type: snfs
lss: 1
rlim: 16800000
alim: 16800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16800000/16800000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8456279 hash collisions in 55373103 relations (48757056 unique)
Msieve: matrix is 2463677 x 2463902 (857.9 MB)

Sieving start time : 2021/05/28 07:50:41
Sieving end time  : 2021/05/28 21:11:32

Total sieving time: 13hrs 20min 51secs.

Total relation processing time: 2hrs 0min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 31sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16800000,16800000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117662] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241088K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486148K reserved, 0K cma-reserved)
[    0.152608] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.07 BogoMIPS (lpj=12798140)
[    0.150211] smpboot: Total of 16 processors activated (102385.12 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:27 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 27 秒 (日本時間)
4511e6585 / 4409CypFebruary 4, 2015 09:18:21 UTC 2015 年 2 月 4 日 (水) 18 時 18 分 21 秒 (日本時間)

7×10203-2779

c135

name 名前Erik Branger
date 日付April 19, 2015 19:13:10 UTC 2015 年 4 月 20 日 (月) 4 時 13 分 10 秒 (日本時間)
composite number 合成数
666907160324470888544675039987851230540178074168623634699352148566031782574227263254900423034043216738251422749021649643323124568967099<135>
prime factors 素因数
3016268030216052021965487180809552396177138770778934107<55>
221103414432536702911329934064031389806788014676848384974765974920656730510689057<81>
factorization results 素因数分解の結果
Number: 77747_203
N = 666907160324470888544675039987851230540178074168623634699352148566031782574227263254900423034043216738251422749021649643323124568967099 (135 digits)
Divisors found:
r1=3016268030216052021965487180809552396177138770778934107 (pp55)
r2=221103414432536702911329934064031389806788014676848384974765974920656730510689057 (pp81)
Version: Msieve v. 1.51 (SVN 845)
Total time: 159.60 hours.
Factorization parameters were as follows:
# Murphy_E = 4.025e-11, selected by Erik Branger
# expecting poly E from 4.24e-011 to > 4.87e-011
n: 666907160324470888544675039987851230540178074168623634699352148566031782574227263254900423034043216738251422749021649643323124568967099
Y0: -143604760291855058312859010
Y1: 148031042182879
c0: -149858433836763387797017666685199609
c1: -455345177047170989262619247421
c2: 357034649279915070574859
c3: 154342211486612149
c4: -35124988882
c5: 10920
skew: 2140726.67
type: gnfs
# selected mechanically
rlim: 13200000
alim: 13200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 13200000/13200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 21222832
Relations: 2855018 relations
Pruned matrix : 1770234 x 1770462
Polynomial selection time: 0.00 hours.
Total sieving time: 156.73 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.48 hours.
time per square root: 0.27 hours.
Prototype def-par.txt line would be: gnfs,134,5,65,2000,1e-05,0.28,250,20,50000,3600,13200000,13200000,28,28,54,54,2.6,2.6,100000
total time: 159.60 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:06:27 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 27 秒 (日本時間)
2350Ignacio SantosFebruary 6, 2015 16:47:45 UTC 2015 年 2 月 7 日 (土) 1 時 47 分 45 秒 (日本時間)
4511e60 / 3135--
5043e6215 / 7453Pierre JammesMarch 17, 2015 07:26:42 UTC 2015 年 3 月 17 日 (火) 16 時 26 分 42 秒 (日本時間)

7×10204-2779

c151

composite cofactor 合成数の残り
1308074174316137747123441139584850447206215405680608399384445676381658997295278707182396918323664207680954727874234628894455513761296925465485161803109<151>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:28 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 28 秒 (日本時間)
4511e65065585CypMay 13, 2015 06:13:10 UTC 2015 年 5 月 13 日 (水) 15 時 13 分 10 秒 (日本時間)
4480Ignacio SantosDecember 27, 2021 21:41:05 UTC 2021 年 12 月 28 日 (火) 6 時 41 分 5 秒 (日本時間)

7×10205-2779

c162

name 名前Bob Backstrom
date 日付November 26, 2023 02:15:36 UTC 2023 年 11 月 26 日 (日) 11 時 15 分 36 秒 (日本時間)
composite number 合成数
666574681649933542973792063632481020827993848621728887757025788686088625276392965586555718343482286378248064399700125172342612316791517461892314675288512019472519<162>
prime factors 素因数
41196510532924790729857586671920687599521424811115576087<56>
16180367536643627326096450021491160538510933796710171150737153927017289438694267052746506021000034417617937<107>
factorization results 素因数分解の結果
Number: n
N=666574681649933542973792063632481020827993848621728887757025788686088625276392965586555718343482286378248064399700125172342612316791517461892314675288512019472519  ( 162 digits)
SNFS difficulty: 205 digits.
Divisors found:

Sat Nov 25 22:49:44 2023  prp56 factor: 41196510532924790729857586671920687599521424811115576087
Sat Nov 25 22:49:44 2023  prp107 factor: 16180367536643627326096450021491160538510933796710171150737153927017289438694267052746506021000034417617937
Sat Nov 25 22:49:44 2023  elapsed time 03:29:06 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.098).
Factorization parameters were as follows:
#
# N = 7x10^205-277 = 7(203)47
#
n: 666574681649933542973792063632481020827993848621728887757025788686088625276392965586555718343482286378248064399700125172342612316791517461892314675288512019472519
m: 100000000000000000000000000000000000000000
deg: 5
c5: 7
c0: -277
skew: 2.09
# Murphy_E = 7.207e-12
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18900000/18900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 56650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4184172 hash collisions in 20134065 relations (16515096 unique)
Msieve: matrix is 2563408 x 2563633 (722.0 MB)

Sieving start time: 2023/11/24 18:41:03
Sieving end time  : 2023/11/25 19:20:11

Total sieving time: 24hrs 39min 8secs.

Total relation processing time: 3hrs 21min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 37sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18900000,18900000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ---------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:28 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 28 秒 (日本時間)
4511e6585 / 4409CypMay 29, 2015 08:09:38 UTC 2015 年 5 月 29 日 (金) 17 時 9 分 38 秒 (日本時間)

7×10207-2779

c200

name 名前Bob Backstrom
date 日付August 4, 2017 16:14:30 UTC 2017 年 8 月 5 日 (土) 1 時 14 分 30 秒 (日本時間)
composite number 合成数
29712597388715169943598995831360788274190004988702654997578869001780544377145835824681566167477627443495564157522285859389912341428271567825822580843085527766763954624296536747612992858717291295712847<200>
prime factors 素因数
1675246907909048294919009552384302908342733749<46>
17736249652775549006571308827165164867109814241551356463963865124149214891806109058386481318388099700203228202291502123012815785555585366610395504270988403<155>
factorization results 素因数分解の結果
Number: n
N=29712597388715169943598995831360788274190004988702654997578869001780544377145835824681566167477627443495564157522285859389912341428271567825822580843085527766763954624296536747612992858717291295712847
  ( 200 digits)
SNFS difficulty: 207 digits.
Divisors found:

Sat Aug  5 02:08:27 2017  prp46 factor: 1675246907909048294919009552384302908342733749
Sat Aug  5 02:08:27 2017  prp155 factor: 17736249652775549006571308827165164867109814241551356463963865124149214891806109058386481318388099700203228202291502123012815785555585366610395504270988403
Sat Aug  5 02:08:27 2017  elapsed time 13:15:11 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=3.825).
Factorization parameters were as follows:
#
# 7Ã-10^207-277 7(205)47
#
n: 29712597388715169943598995831360788274190004988702654997578869001780544377145835824681566167477627443495564157522285859389912341428271567825822580843085527766763954624296536747612992858717291295712847
m: 100000000000000000000000000000000000000000
deg: 5
c5: 700
c0: -277
skew: 0.83
# Murphy_E = 4.399e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 32400000)
Primes: RFBsize:1270607, AFBsize:1269680,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9889044 hash collisions in 55233998 relations (46670919 unique)
Msieve: matrix is 3297965 x 3298190 (936.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 12hrs 51min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 38sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:06:29 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 29 秒 (日本時間)
1CypJanuary 9, 2015 00:42:01 UTC 2015 年 1 月 9 日 (金) 9 時 42 分 1 秒 (日本時間)
4511e6585 / 4409CypJune 6, 2015 09:06:27 UTC 2015 年 6 月 6 日 (土) 18 時 6 分 27 秒 (日本時間)

7×10209-2779

c204

name 名前Bob Backstrom
date 日付October 31, 2019 15:11:51 UTC 2019 年 11 月 1 日 (金) 0 時 11 分 51 秒 (日本時間)
composite number 合成数
178536404465552548492400342891917376412637418832887119848172641642494112762062748404713463098693139024512793281113985547223006507141838756631670980871354573554320593740666690641555266326580321360426997867<204>
prime factors 素因数
1502949941569214447075649664448904389458429569167<49>
composite cofactor 合成数の残り
118790652654169266722172104917303044388995956522419762333481017184952108463905745645465257903907316412447994902872740504771506213827635285704216722401536101<156>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM]
Input number is 178536404465552548492400342891917376412637418832887119848172641642494112762062748404713463098693139024512793281113985547223006507141838756631670980871354573554320593740666690641555266326580321360426997867 (204 digits)
Using B1=250210000, B2=3178548473116, polynomial Dickson(30), sigma=1132544517
Step 1 took 1068954ms
Step 2 took 213678ms
********** Factor found in step 2: 1502949941569214447075649664448904389458429569167
Found probable prime factor of 49 digits: 1502949941569214447075649664448904389458429569167
Composite cofactor 118790652654169266722172104917303044388995956522419762333481017184952108463905745645465257903907316412447994902872740504771506213827635285704216722401536101 has 156 digits

c156

name 名前Bob Backstrom
date 日付November 1, 2019 19:16:20 UTC 2019 年 11 月 2 日 (土) 4 時 16 分 20 秒 (日本時間)
composite number 合成数
118790652654169266722172104917303044388995956522419762333481017184952108463905745645465257903907316412447994902872740504771506213827635285704216722401536101<156>
prime factors 素因数
34462440574271726754268838297924724968415079175169449540407848662622536749<74>
3446959956250271907430509470818494563300108023118963553881964722341782573164314649<82>
factorization results 素因数分解の結果
Number: n
N=178536404465552548492400342891917376412637418832887119848172641642494112762062748404713463098693139024512793281113985547223006507141838756631670980871354573554320593740666690641555266326580321360426997867
  ( 204 digits)
SNFS difficulty: 210 digits.
Divisors found:

Sat Nov  2 05:23:05 2019  found factor: 3446959956250271907430509470818494563300108023118963553881964722341782573164314649
Sat Nov  2 05:27:46 2019  found factor: 3446959956250271907430509470818494563300108023118963553881964722341782573164314649
Sat Nov  2 05:32:28 2019  p49 factor: 1502949941569214447075649664448904389458429569167
Sat Nov  2 05:32:28 2019  p74 factor: 34462440574271726754268838297924724968415079175169449540407848662622536749
Sat Nov  2 05:32:28 2019  p82 factor: 3446959956250271907430509470818494563300108023118963553881964722341782573164314649
Sat Nov  2 05:32:28 2019  elapsed time 04:02:58 (Msieve 1.54 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.127).
Factorization parameters were as follows:
#
# N = 7x10^209-277 = 7(207)47
#
n: 178536404465552548492400342891917376412637418832887119848172641642494112762062748404713463098693139024512793281113985547223006507141838756631670980871354573554320593740666690641555266326580321360426997867
m: 500000000000000000000000000000000000000000
deg: 5
c5: 112
c0: -1385
skew: 1.65
# Murphy_E = 4.511e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 51500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8656833 hash collisions in 58437287 relations (51859872 unique)
Msieve: matrix is 3009467 x 3009692 (1058.8 MB)

Sieving start time: 2019/11/01 01:31:21
Sieving end time  : 2019/11/02 01:28:30

Total sieving time: 23hrs 57min 9secs.

Total relation processing time: 3hrs 31min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 14min 5sec.

Prototype def-par.txt line would be:
snfs,210,5,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149912] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284044K/16703460K available (12300K kernel code, 2481K rwdata, 4256K rodata, 2436K init, 2388K bss, 419416K reserved, 0K cma-reserved)
[    0.184564] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.54 BogoMIPS (lpj=11977096)
[    0.182216] smpboot: Total of 16 processors activated (95816.76 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e61100 / 2318300Serge BatalovJanuary 9, 2015 00:06:29 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 29 秒 (日本時間)
800Dmitry DomanovAugust 1, 2018 21:13:14 UTC 2018 年 8 月 2 日 (木) 6 時 13 分 14 秒 (日本時間)

7×10210-2779

c179

composite cofactor 合成数の残り
14975188202926542321206002923591399864247227636000864738903090869252217446566809951158832123069349774906490511965559363637221173616448450007583916225153685848812872758393420573537<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:30 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 30 秒 (日本時間)
4511e6585 / 4409CypMay 12, 2015 17:48:59 UTC 2015 年 5 月 13 日 (水) 2 時 48 分 59 秒 (日本時間)

7×10212-2779

c212

name 名前Alfred Reich
date 日付February 8, 2017 13:49:50 UTC 2017 年 2 月 8 日 (水) 22 時 49 分 50 秒 (日本時間)
composite number 合成数
77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777747<212>
prime factors 素因数
2785454616304074829690351211386940330964587564748349550741274602199433<70>
27922830737403458659270188287653169202235953336418928110920403374622079794030467288815598594966499613072396802571036052608823221779878049086459<143>
factorization results 素因数分解の結果
# siever: 14e
# qrange: 10M .. 50M
Sun Feb 05 17:40:46 2017  
Sun Feb 05 17:40:46 2017  
Sun Feb 05 17:40:46 2017  Msieve v. 1.53 (SVN 988)
Sun Feb 05 17:40:46 2017  random seeds: 28069aa8 b12b9cc1
Sun Feb 05 17:40:46 2017  factoring 77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777747 (212 digits)
Sun Feb 05 17:40:48 2017  searching for 15-digit factors
Sun Feb 05 17:40:49 2017  commencing number field sieve (212-digit input)
Sun Feb 05 17:40:49 2017  R0: -100000000000000000000000000000000000
Sun Feb 05 17:40:49 2017  R1: 1
Sun Feb 05 17:40:49 2017  A0: -277
Sun Feb 05 17:40:49 2017  A1: 0
Sun Feb 05 17:40:49 2017  A2: 0
Sun Feb 05 17:40:49 2017  A3: 0
Sun Feb 05 17:40:49 2017  A4: 0
Sun Feb 05 17:40:49 2017  A5: 0
Sun Feb 05 17:40:49 2017  A6: 700
Sun Feb 05 17:40:49 2017  skew 0.86, size 8.975e-011, alpha -0.606, combined = 3.105e-012 rroots = 2
Sun Feb 05 17:40:49 2017  
Sun Feb 05 17:40:49 2017  commencing relation filtering
Sun Feb 05 17:40:49 2017  setting target matrix density to 120.0
Sun Feb 05 17:40:49 2017  estimated available RAM is 12279.2 MB
Sun Feb 05 17:40:49 2017  commencing duplicate removal, pass 1
Sun Feb 05 17:53:30 2017  error -9 reading relation 52960734
Sun Feb 05 17:53:30 2017  error -15 reading relation 52994425
Sun Feb 05 17:53:31 2017  error -15 reading relation 53009270
Sun Feb 05 17:53:31 2017  error -9 reading relation 53023708
Sun Feb 05 17:53:31 2017  error -1 reading relation 53062110
Sun Feb 05 17:53:32 2017  skipped 1 relations with b > 2^32
Sun Feb 05 17:53:32 2017  skipped 5 relations with composite factors
Sun Feb 05 17:53:32 2017  found 9355236 hash collisions in 53113034 relations
Sun Feb 05 17:53:57 2017  added 1217337 free relations
Sun Feb 05 17:53:57 2017  commencing duplicate removal, pass 2
Sun Feb 05 17:54:39 2017  found 8825484 duplicates and 45504887 unique relations
Sun Feb 05 17:54:39 2017  memory use: 330.4 MB
Sun Feb 05 17:54:39 2017  reading ideals above 720000
Sun Feb 05 17:54:39 2017  commencing singleton removal, initial pass
Sun Feb 05 18:04:34 2017  memory use: 1378.0 MB
Sun Feb 05 18:04:35 2017  reading all ideals from disk
Sun Feb 05 18:04:36 2017  memory use: 1621.9 MB
Sun Feb 05 18:04:42 2017  keeping 44600243 ideals with weight <= 200, target excess is 244377
Sun Feb 05 18:04:48 2017  commencing in-memory singleton removal
Sun Feb 05 18:04:53 2017  begin with 45504886 relations and 44600243 unique ideals
Sun Feb 05 18:05:38 2017  reduce to 25903481 relations and 22672734 ideals in 15 passes
Sun Feb 05 18:05:38 2017  max relations containing the same ideal: 144
Sun Feb 05 18:05:53 2017  removing 2649179 relations and 2249179 ideals in 400000 cliques
Sun Feb 05 18:05:54 2017  commencing in-memory singleton removal
Sun Feb 05 18:05:56 2017  begin with 23254302 relations and 22672734 unique ideals
Sun Feb 05 18:06:19 2017  reduce to 23005911 relations and 20169909 ideals in 10 passes
Sun Feb 05 18:06:19 2017  max relations containing the same ideal: 132
Sun Feb 05 18:06:31 2017  removing 2003942 relations and 1603942 ideals in 400000 cliques
Sun Feb 05 18:06:32 2017  commencing in-memory singleton removal
Sun Feb 05 18:06:34 2017  begin with 21001969 relations and 20169909 unique ideals
Sun Feb 05 18:06:52 2017  reduce to 20859699 relations and 18421139 ideals in 9 passes
Sun Feb 05 18:06:52 2017  max relations containing the same ideal: 125
Sun Feb 05 18:07:04 2017  removing 1797987 relations and 1397987 ideals in 400000 cliques
Sun Feb 05 18:07:05 2017  commencing in-memory singleton removal
Sun Feb 05 18:07:07 2017  begin with 19061712 relations and 18421139 unique ideals
Sun Feb 05 18:07:19 2017  reduce to 18942138 relations and 16901386 ideals in 7 passes
Sun Feb 05 18:07:19 2017  max relations containing the same ideal: 120
Sun Feb 05 18:07:30 2017  removing 1689759 relations and 1289759 ideals in 400000 cliques
Sun Feb 05 18:07:30 2017  commencing in-memory singleton removal
Sun Feb 05 18:07:32 2017  begin with 17252379 relations and 16901386 unique ideals
Sun Feb 05 18:07:43 2017  reduce to 17141079 relations and 15498218 ideals in 7 passes
Sun Feb 05 18:07:43 2017  max relations containing the same ideal: 110
Sun Feb 05 18:07:53 2017  removing 1614479 relations and 1214479 ideals in 400000 cliques
Sun Feb 05 18:07:53 2017  commencing in-memory singleton removal
Sun Feb 05 18:07:55 2017  begin with 15526600 relations and 15498218 unique ideals
Sun Feb 05 18:08:05 2017  reduce to 15416488 relations and 14171505 ideals in 7 passes
Sun Feb 05 18:08:05 2017  max relations containing the same ideal: 104
Sun Feb 05 18:08:13 2017  removing 1565272 relations and 1165272 ideals in 400000 cliques
Sun Feb 05 18:08:14 2017  commencing in-memory singleton removal
Sun Feb 05 18:08:15 2017  begin with 13851216 relations and 14171505 unique ideals
Sun Feb 05 18:08:25 2017  reduce to 13739417 relations and 12891925 ideals in 8 passes
Sun Feb 05 18:08:25 2017  max relations containing the same ideal: 93
Sun Feb 05 18:08:33 2017  removing 1528288 relations and 1128288 ideals in 400000 cliques
Sun Feb 05 18:08:33 2017  commencing in-memory singleton removal
Sun Feb 05 18:08:34 2017  begin with 12211129 relations and 12891925 unique ideals
Sun Feb 05 18:08:43 2017  reduce to 12093766 relations and 11643364 ideals in 8 passes
Sun Feb 05 18:08:43 2017  max relations containing the same ideal: 87
Sun Feb 05 18:08:49 2017  removing 741964 relations and 575040 ideals in 166924 cliques
Sun Feb 05 18:08:50 2017  commencing in-memory singleton removal
Sun Feb 05 18:08:51 2017  begin with 11351802 relations and 11643364 unique ideals
Sun Feb 05 18:08:57 2017  reduce to 11322558 relations and 11038727 ideals in 6 passes
Sun Feb 05 18:08:57 2017  max relations containing the same ideal: 84
Sun Feb 05 18:09:05 2017  relations with 0 large ideals: 8505
Sun Feb 05 18:09:05 2017  relations with 1 large ideals: 4427
Sun Feb 05 18:09:05 2017  relations with 2 large ideals: 35869
Sun Feb 05 18:09:05 2017  relations with 3 large ideals: 253021
Sun Feb 05 18:09:05 2017  relations with 4 large ideals: 973139
Sun Feb 05 18:09:05 2017  relations with 5 large ideals: 2195135
Sun Feb 05 18:09:05 2017  relations with 6 large ideals: 3050870
Sun Feb 05 18:09:05 2017  relations with 7+ large ideals: 4801592
Sun Feb 05 18:09:05 2017  commencing 2-way merge
Sun Feb 05 18:09:14 2017  reduce to 7405020 relation sets and 7121189 unique ideals
Sun Feb 05 18:09:14 2017  commencing full merge
Sun Feb 05 18:13:27 2017  memory use: 982.7 MB
Sun Feb 05 18:13:29 2017  found 3305971 cycles, need 3299389
Sun Feb 05 18:13:29 2017  weight of 3299389 cycles is about 396693025 (120.23/cycle)
Sun Feb 05 18:13:29 2017  distribution of cycle lengths:
Sun Feb 05 18:13:29 2017  1 relations: 111910
Sun Feb 05 18:13:29 2017  2 relations: 183844
Sun Feb 05 18:13:29 2017  3 relations: 224923
Sun Feb 05 18:13:29 2017  4 relations: 237132
Sun Feb 05 18:13:29 2017  5 relations: 240736
Sun Feb 05 18:13:29 2017  6 relations: 238036
Sun Feb 05 18:13:29 2017  7 relations: 229748
Sun Feb 05 18:13:29 2017  8 relations: 219425
Sun Feb 05 18:13:29 2017  9 relations: 206320
Sun Feb 05 18:13:29 2017  10+ relations: 1407315
Sun Feb 05 18:13:29 2017  heaviest cycle: 28 relations
Sun Feb 05 18:13:30 2017  commencing cycle optimization
Sun Feb 05 18:13:37 2017  start with 30731743 relations
Sun Feb 05 18:15:31 2017  pruned 1422438 relations
Sun Feb 05 18:15:31 2017  memory use: 787.5 MB
Sun Feb 05 18:15:31 2017  distribution of cycle lengths:
Sun Feb 05 18:15:31 2017  1 relations: 111910
Sun Feb 05 18:15:31 2017  2 relations: 188425
Sun Feb 05 18:15:31 2017  3 relations: 234557
Sun Feb 05 18:15:31 2017  4 relations: 247432
Sun Feb 05 18:15:31 2017  5 relations: 253069
Sun Feb 05 18:15:31 2017  6 relations: 249352
Sun Feb 05 18:15:31 2017  7 relations: 240822
Sun Feb 05 18:15:31 2017  8 relations: 229187
Sun Feb 05 18:15:31 2017  9 relations: 215937
Sun Feb 05 18:15:31 2017  10+ relations: 1328698
Sun Feb 05 18:15:31 2017  heaviest cycle: 28 relations
Sun Feb 05 18:15:36 2017  RelProcTime: 2087
Sun Feb 05 18:15:36 2017  
Sun Feb 05 18:15:36 2017  commencing linear algebra
Sun Feb 05 18:15:37 2017  read 3299389 cycles
Sun Feb 05 18:15:46 2017  cycles contain 11169883 unique relations
Sun Feb 05 18:17:49 2017  read 11169883 relations
Sun Feb 05 18:18:14 2017  using 20 quadratic characters above 4294917295
Sun Feb 05 18:19:25 2017  building initial matrix
Sun Feb 05 18:22:56 2017  memory use: 1435.0 MB
Sun Feb 05 18:23:00 2017  read 3299389 cycles
Sun Feb 05 18:23:01 2017  matrix is 3299212 x 3299389 (1554.7 MB) with weight 448271402 (135.86/col)
Sun Feb 05 18:23:01 2017  sparse part has weight 371263676 (112.52/col)
Sun Feb 05 18:24:02 2017  filtering completed in 2 passes
Sun Feb 05 18:24:03 2017  matrix is 3299193 x 3299370 (1554.7 MB) with weight 448270796 (135.87/col)
Sun Feb 05 18:24:03 2017  sparse part has weight 371263510 (112.53/col)
Sun Feb 05 18:24:17 2017  matrix starts at (0, 0)
Sun Feb 05 18:24:18 2017  matrix is 3299193 x 3299370 (1554.7 MB) with weight 448270796 (135.87/col)
Sun Feb 05 18:24:18 2017  sparse part has weight 371263510 (112.53/col)
Sun Feb 05 18:24:18 2017  saving the first 48 matrix rows for later
Sun Feb 05 18:24:20 2017  matrix includes 64 packed rows
Sun Feb 05 18:24:21 2017  matrix is 3299145 x 3299370 (1481.6 MB) with weight 385368934 (116.80/col)
Sun Feb 05 18:24:21 2017  sparse part has weight 355411552 (107.72/col)
Sun Feb 05 18:24:21 2017  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Sun Feb 05 18:24:49 2017  commencing Lanczos iteration (16 threads)
Sun Feb 05 18:24:49 2017  memory use: 1239.7 MB
Sun Feb 05 18:25:02 2017  linear algebra at 0.0%, ETA 7h49m
Sun Feb 05 18:25:06 2017  checkpointing every 430000 dimensions
Mon Feb 06 03:53:58 2017  lanczos halted after 52175 iterations (dim = 3299145)
Mon Feb 06 03:54:03 2017  recovered 38 nontrivial dependencies
Mon Feb 06 03:54:04 2017  BLanczosTime: 34708
Mon Feb 06 03:54:04 2017  
Mon Feb 06 03:54:04 2017  commencing square root phase
Mon Feb 06 03:54:04 2017  handling dependencies 1 to 64
Mon Feb 06 03:54:04 2017  reading relations for dependency 1
Mon Feb 06 03:54:06 2017  read 1649350 cycles
Mon Feb 06 03:54:10 2017  cycles contain 5586140 unique relations
Mon Feb 06 03:55:23 2017  read 5586140 relations
Mon Feb 06 03:56:00 2017  multiplying 5586140 relations
Mon Feb 06 04:04:29 2017  multiply complete, coefficients have about 185.67 million bits
Mon Feb 06 04:04:30 2017  initial square root is modulo 4606669
Mon Feb 06 04:14:28 2017  GCD is 1, no factor found
Mon Feb 06 04:14:28 2017  reading relations for dependency 2
Mon Feb 06 04:14:29 2017  read 1650666 cycles
Mon Feb 06 04:14:33 2017  cycles contain 5588164 unique relations
Mon Feb 06 04:15:43 2017  read 5588164 relations
Mon Feb 06 04:16:21 2017  multiplying 5588164 relations
Mon Feb 06 04:24:51 2017  multiply complete, coefficients have about 185.74 million bits
Mon Feb 06 04:24:52 2017  initial square root is modulo 4632787
Mon Feb 06 04:34:54 2017  sqrtTime: 2450
Mon Feb 06 04:34:54 2017  p70 factor: 2785454616304074829690351211386940330964587564748349550741274602199433
Mon Feb 06 04:34:54 2017  p143 factor: 27922830737403458659270188287653169202235953336418928110920403374622079794030467288815598594966499613072396802571036052608823221779878049086459
Mon Feb 06 04:34:54 2017  elapsed time 10:54:08

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:06:30 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 30 秒 (日本時間)
1CypJanuary 9, 2015 00:40:59 UTC 2015 年 1 月 9 日 (金) 9 時 40 分 59 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:09:04 UTC 2015 年 1 月 11 日 (日) 5 時 9 分 4 秒 (日本時間)
4511e6436KTakahashiMarch 9, 2015 11:27:53 UTC 2015 年 3 月 9 日 (月) 20 時 27 分 53 秒 (日本時間)
5043e61000 / 7364Serge BatalovJanuary 11, 2015 21:22:43 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 43 秒 (日本時間)

7×10213-2779

c207

name 名前Bob Backstrom
date 日付November 15, 2019 19:35:10 UTC 2019 年 11 月 16 日 (土) 4 時 35 分 10 秒 (日本時間)
composite number 合成数
265918114771246031124651661515262959015978373715468300984204729900702756997226815957654895497409900579674898389839223248628156937121724358931256862349349315467890710541939978254736106091906694803842273633311<207>
prime factors 素因数
2748824003478817249003520319242796349283082471467608998169<58>
96738865214618759937707645449921177819807106672924651374226503304339308642963006218465040679121090554895675565921782467007694420822834798450773564919<149>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 265918114771246031124651661515262959015978373715468300984204729900702756997226815957654895497409900579674898389839223248628156937121724358931256862349349315467890710541939978254736106091906694
803842273633311 (207 digits)
Using B1=60380000, B2=388129104100, polynomial Dickson(30), sigma=1:3708335626
Step 1 took 817031ms
Step 2 took 238922ms
********** Factor found in step 2: 2748824003478817249003520319242796349283082471467608998169
Found probable prime factor of 58 digits: 2748824003478817249003520319242796349283082471467608998169
Probable prime cofactor 96738865214618759937707645449921177819807106672924651374226503304339308642963006218465040679121090554895675565921782467007694420822834798450773564919 has 149 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:31 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 31 秒 (日本時間)
4511e6585 / 4409CypMay 31, 2015 22:53:57 UTC 2015 年 6 月 1 日 (月) 7 時 53 分 57 秒 (日本時間)

7×10214-2779

c150

composite cofactor 合成数の残り
102182557907855507859955149652687274055870250741012530825652827939690584476002889961400931120721640287467144359653091504426718072576628134084487634481<150>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:06:32 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 32 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 23:39:17 UTC 2015 年 1 月 11 日 (日) 8 時 39 分 17 秒 (日本時間)
4511e64100800Dmitry DomanovMarch 1, 2016 13:17:14 UTC 2016 年 3 月 1 日 (火) 22 時 17 分 14 秒 (日本時間)
3300Lionel DebrouxDecember 29, 2017 15:05:56 UTC 2017 年 12 月 30 日 (土) 0 時 5 分 56 秒 (日本時間)

7×10216-2779

c168

composite cofactor 合成数の残り
725772647478830470397463522457879826433271214851296324973442434620150063698151784505100459261608152414134445548808505702286544797352380355745895191692570057774050811661<168>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:32 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 32 秒 (日本時間)
4511e6585 / 4409CypMay 12, 2015 05:36:53 UTC 2015 年 5 月 12 日 (火) 14 時 36 分 53 秒 (日本時間)

7×10217-2779

c217

name 名前Serge Batalov
date 日付February 5, 2015 02:38:45 UTC 2015 年 2 月 5 日 (木) 11 時 38 分 45 秒 (日本時間)
composite number 合成数
7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777747<217>
prime factors 素因数
786183809826113926124423161642541338700765917681001<51>
9893078031584046834078976563663710998854035335867133468689602194717052794411808851333651038807693539753965293341886840626271713356754778944650701961133963799600070747<166>
factorization results 素因数分解の結果
Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=4226181381
Step 1 took 307817ms
Step 2 took 159997ms
********** Factor found in step 2: 786183809826113926124423161642541338700765917681001
Found probable prime factor of 51 digits: 786183809826113926124423161642541338700765917681001
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:06:33 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 33 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:09:07 UTC 2015 年 1 月 11 日 (日) 5 時 9 分 7 秒 (日本時間)
4511e60--
5043e63000 / 74621000Serge BatalovJanuary 11, 2015 21:22:43 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 43 秒 (日本時間)
2000Serge BatalovFebruary 5, 2015 02:29:33 UTC 2015 年 2 月 5 日 (木) 11 時 29 分 33 秒 (日本時間)

7×10219-2779

c216

name 名前Bob Backstrom
date 日付April 18, 2018 05:13:36 UTC 2018 年 4 月 18 日 (水) 14 時 13 分 36 秒 (日本時間)
composite number 合成数
839026728994366534819609253266211195013784010547764593072036437732230612489512165887570418314754884334172360062327699868152942586599544528347117343881097926405369771065563945822845499220903751648088217667505693395661<216>
prime factors 素因数
995367011915002343620504374979493279593352824409<48>
842932023013450822763432755390193799636079669661230107472412791053845091403466094413872669169489212896314723538367106995797847791850115435830927718706667449466016334229<168>
factorization results 素因数分解の結果
Number: n
N=839026728994366534819609253266211195013784010547764593072036437732230612489512165887570418314754884334172360062327699868152942586599544528347117343881097926405369771065563945822845499220903751648088217667505693395661
  ( 216 digits)
SNFS difficulty: 219 digits.
Divisors found:

Wed Apr 18 13:40:12 2018  p48 factor: 995367011915002343620504374979493279593352824409
Wed Apr 18 13:40:12 2018  p168 factor: 842932023013450822763432755390193799636079669661230107472412791053845091403466094413872669169489212896314723538367106995797847791850115435830927718706667449466016334229
Wed Apr 18 13:40:12 2018  elapsed time 18:59:50 (Msieve 1.53 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.089).
Factorization parameters were as follows:
#
# 7x10^219-277 7(217)47
#
n: 839026728994366534819609253266211195013784010547764593072036437732230612489512165887570418314754884334172360062327699868152942586599544528347117343881097926405369771065563945822845499220903751648088217667505693395661
m: 1000000000000000000000000000000000000
deg: 6
c6: 7000
c0: -277
skew: 0.58
# Murphy_E = 1.119e-12
type: snfs
lss: 1
rlim: 32000000
alim: 32000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 32000000/32000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 164800000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 17080488 hash collisions in 69838929 relations (52728103 unique)
Msieve: matrix is 6469030 x 6469256 (1826.2 MB)

Sieving start time: 2018/04/13 04:22:34
Sieving end time  : 2018/04/17 18:38:15

Total sieving time: 110hrs 15min 41secs.

Total relation processing time: 18hrs 23min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 15min 17sec.

Prototype def-par.txt line would be:
snfs,219,6,0,0,0,0,0,0,0,0,32000000,32000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.064000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16292592K/16703460K available (12300K kernel code, 2482K rwdata, 4000K rodata, 2372K init, 2368K bss, 410868K reserved, 0K cma-reserved)
[    0.096647] x86/mm: Memory block size: 128MB
[    0.004000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.84 BogoMIPS (lpj=11977684)
[    0.094230] smpboot: Total of 16 processors activated (95821.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:06:34 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 34 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:09:09 UTC 2015 年 1 月 11 日 (日) 5 時 9 分 9 秒 (日本時間)

7×10221-2779

c181

name 名前Erik Branger
date 日付November 7, 2019 14:57:50 UTC 2019 年 11 月 7 日 (木) 23 時 57 分 50 秒 (日本時間)
composite number 合成数
1149010470706188967233812772285612110019019439374526344763767246336703377441291631643466826660705232738137877086348298983394280722041811829846541328453583488329965459177500973212247<181>
prime factors 素因数
83838722395560685489883984854838462862138282787749515990464231787<65>
13705009306857350368104126058570113313138562212600120902934893589183607705390076736809766242950695595729795451312581<116>
factorization results 素因数分解の結果
Number: 77747_221
N = 1149010470706188967233812772285612110019019439374526344763767246336703377441291631643466826660705232738137877086348298983394280722041811829846541328453583488329965459177500973212247 (181 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=83838722395560685489883984854838462862138282787749515990464231787 (pp65)
r2=13705009306857350368104126058570113313138562212600120902934893589183607705390076736809766242950695595729795451312581 (pp116)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 166.32 hours.
Factorization parameters were as follows:
n: 1149010470706188967233812772285612110019019439374526344763767246336703377441291631643466826660705232738137877086348298983394280722041811829846541328453583488329965459177500973212247
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 70
c0: -277
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 22369622
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/22369622
Large primes per side: 3
Large prime bits: 29/28
Relations: 11755426 relations
Pruned matrix : 9938623 x 9938848
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 60.99 hours.
Total relation processing time: 0.50 hours.
Matrix solve time: 104.48 hours.
time per square root: 0.36 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,22369622,29,28,58,56,2.8,2.8,100000
total time: 166.32 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:34 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 34 秒 (日本時間)
4511e6585 / 4409CypFebruary 5, 2015 14:05:58 UTC 2015 年 2 月 5 日 (木) 23 時 5 分 58 秒 (日本時間)

7×10223-2779

c223

name 名前Alfred Reich
date 日付March 28, 2017 15:06:23 UTC 2017 年 3 月 29 日 (水) 0 時 6 分 23 秒 (日本時間)
composite number 合成数
7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777747<223>
prime factors 素因数
280644558775702659536145505776459915702225493602136282303542354089<66>
27713980316268842598101081375087584822076982552323252711032548441968692210649522586441659302682264147330852723672815042706292853113982455290544580043848263323<158>
factorization results 素因数分解の結果
# siever: 15e
# qrange: 9M .. 80M
# params (good ?!): rlim=alim: 38000000, lpbr=lpba: 31, mfbr=mfba: 62, rlambda=alambda: 2.7
Sat Mar 25 05:54:46 2017  
Sat Mar 25 05:54:46 2017  
Sat Mar 25 05:54:46 2017  Msieve v. 1.53 (SVN 988)
Sat Mar 25 05:54:46 2017  random seeds: 8bc3fcc0 1c47bcc7
Sat Mar 25 05:54:46 2017  factoring 
7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777747 (223 digits)
Sat Mar 25 05:54:50 2017  searching for 15-digit factors
Sat Mar 25 05:54:51 2017  commencing number field sieve (223-digit input)
Sat Mar 25 05:54:51 2017  R0: -10000000000000000000000000000000000000
Sat Mar 25 05:54:51 2017  R1: 1
Sat Mar 25 05:54:51 2017  A0: -277
Sat Mar 25 05:54:51 2017  A1: 0
Sat Mar 25 05:54:51 2017  A2: 0
Sat Mar 25 05:54:51 2017  A3: 0
Sat Mar 25 05:54:51 2017  A4: 0
Sat Mar 25 05:54:51 2017  A5: 0
Sat Mar 25 05:54:51 2017  A6: 70
Sat Mar 25 05:54:51 2017  skew 1.26, size 2.138e-011, alpha 1.154, combined = 1.124e-012 rroots = 2
Sat Mar 25 05:54:51 2017  
Sat Mar 25 05:54:51 2017  commencing relation filtering
Sat Mar 25 05:54:51 2017  setting max relations to 170000000
Sat Mar 25 05:54:51 2017  estimated available RAM is 8172.2 MB
Sat Mar 25 05:54:51 2017  commencing duplicate removal, pass 1
Sat Mar 25 06:51:34 2017  found 6391391 hash collisions in 170000000 relations
Sat Mar 25 06:51:34 2017  commencing duplicate removal, pass 2
Sat Mar 25 07:28:03 2017  found 0 duplicates and 170000000 unique relations
Sat Mar 25 07:28:03 2017  memory use: 506.4 MB
Sat Mar 25 07:28:03 2017  reading ideals above 103743488
Sat Mar 25 07:28:03 2017  commencing singleton removal, initial pass
Sat Mar 25 08:24:51 2017  memory use: 3012.0 MB
Sat Mar 25 08:24:52 2017  reading all ideals from disk
Sat Mar 25 08:27:39 2017  memory use: 2817.7 MB
Sat Mar 25 08:27:53 2017  keeping 149579030 ideals with weight <= 200, target excess is 12123075
Sat Mar 25 08:28:08 2017  commencing in-memory singleton removal
Sat Mar 25 08:28:20 2017  begin with 170000000 relations and 149579030 unique ideals
Sat Mar 25 08:30:56 2017  reduce to 92669459 relations and 61988459 ideals in 16 passes
Sat Mar 25 08:30:56 2017  max relations containing the same ideal: 64
Sat Mar 25 08:31:27 2017  reading ideals above 720000
Sat Mar 25 08:31:28 2017  commencing singleton removal, initial pass
Sat Mar 25 09:18:36 2017  memory use: 1506.0 MB
Sat Mar 25 09:18:38 2017  reading all ideals from disk
Sat Mar 25 09:20:18 2017  memory use: 3527.5 MB
Sat Mar 25 09:20:37 2017  keeping 73392232 ideals with weight <= 200, target excess is 528922
Sat Mar 25 09:21:01 2017  commencing in-memory singleton removal
Sat Mar 25 09:21:17 2017  begin with 92669459 relations and 73392232 unique ideals
Sat Mar 25 09:24:13 2017  reduce to 92647890 relations and 73370595 ideals in 9 passes
Sat Mar 25 09:24:13 2017  max relations containing the same ideal: 200
Sat Mar 25 09:25:35 2017  removing 11073049 relations and 9073049 ideals in 2000000 cliques
Sat Mar 25 09:25:41 2017  commencing in-memory singleton removal
Sat Mar 25 09:25:57 2017  begin with 81574841 relations and 73370595 unique ideals
Sat Mar 25 09:28:30 2017  reduce to 80613246 relations and 63309315 ideals in 9 passes
Sat Mar 25 09:28:31 2017  max relations containing the same ideal: 192
Sat Mar 25 09:29:36 2017  removing 8294697 relations and 6294697 ideals in 2000000 cliques
Sat Mar 25 09:29:40 2017  commencing in-memory singleton removal
Sat Mar 25 09:29:55 2017  begin with 72318549 relations and 63309315 unique ideals
Sat Mar 25 09:31:38 2017  reduce to 71673140 relations and 56352910 ideals in 7 passes
Sat Mar 25 09:31:38 2017  max relations containing the same ideal: 178
Sat Mar 25 09:32:38 2017  removing 7474932 relations and 5474932 ideals in 2000000 cliques
Sat Mar 25 09:32:42 2017  commencing in-memory singleton removal
Sat Mar 25 09:32:52 2017  begin with 64198208 relations and 56352910 unique ideals
Sat Mar 25 09:34:34 2017  reduce to 63628762 relations and 50293464 ideals in 8 passes
Sat Mar 25 09:34:35 2017  max relations containing the same ideal: 166
Sat Mar 25 09:35:29 2017  removing 7047247 relations and 5047247 ideals in 2000000 cliques
Sat Mar 25 09:35:33 2017  commencing in-memory singleton removal
Sat Mar 25 09:35:41 2017  begin with 56581515 relations and 50293464 unique ideals
Sat Mar 25 09:36:58 2017  reduce to 56039235 relations and 44688464 ideals in 7 passes
Sat Mar 25 09:36:59 2017  max relations containing the same ideal: 149
Sat Mar 25 09:37:44 2017  removing 6770756 relations and 4770756 ideals in 2000000 cliques
Sat Mar 25 09:37:47 2017  commencing in-memory singleton removal
Sat Mar 25 09:37:55 2017  begin with 49268479 relations and 44688464 unique ideals
Sat Mar 25 09:39:01 2017  reduce to 48725223 relations and 39357246 ideals in 7 passes
Sat Mar 25 09:39:02 2017  max relations containing the same ideal: 138
Sat Mar 25 09:39:43 2017  removing 6572362 relations and 4572362 ideals in 2000000 cliques
Sat Mar 25 09:39:48 2017  commencing in-memory singleton removal
Sat Mar 25 09:39:55 2017  begin with 42152861 relations and 39357246 unique ideals
Sat Mar 25 09:40:58 2017  reduce to 41592911 relations and 34204940 ideals in 8 passes
Sat Mar 25 09:40:58 2017  max relations containing the same ideal: 126
Sat Mar 25 09:41:32 2017  removing 6416395 relations and 4416395 ideals in 2000000 cliques
Sat Mar 25 09:41:36 2017  commencing in-memory singleton removal
Sat Mar 25 09:41:43 2017  begin with 35176516 relations and 34204940 unique ideals
Sat Mar 25 09:42:34 2017  reduce to 34580927 relations and 29168410 ideals in 8 passes
Sat Mar 25 09:42:35 2017  max relations containing the same ideal: 108
Sat Mar 25 09:43:03 2017  removing 6289640 relations and 4289640 ideals in 2000000 cliques
Sat Mar 25 09:43:08 2017  commencing in-memory singleton removal
Sat Mar 25 09:43:12 2017  begin with 28291287 relations and 29168410 unique ideals
Sat Mar 25 09:43:52 2017  reduce to 27633679 relations and 24188456 ideals in 8 passes
Sat Mar 25 09:43:52 2017  max relations containing the same ideal: 97
Sat Mar 25 09:44:15 2017  removing 6163283 relations and 4163283 ideals in 2000000 cliques
Sat Mar 25 09:44:19 2017  commencing in-memory singleton removal
Sat Mar 25 09:44:22 2017  begin with 21470396 relations and 24188456 unique ideals
Sat Mar 25 09:44:56 2017  reduce to 20702143 relations and 19210162 ideals in 9 passes
Sat Mar 25 09:44:57 2017  max relations containing the same ideal: 79
Sat Mar 25 09:45:14 2017  removing 3126961 relations and 2248530 ideals in 878431 cliques
Sat Mar 25 09:45:15 2017  commencing in-memory singleton removal
Sat Mar 25 09:45:18 2017  begin with 17575182 relations and 19210162 unique ideals
Sat Mar 25 09:45:44 2017  reduce to 17290523 relations and 16666467 ideals in 9 passes
Sat Mar 25 09:45:44 2017  max relations containing the same ideal: 70
Sat Mar 25 09:46:01 2017  removing 72275 relations and 61769 ideals in 10506 cliques
Sat Mar 25 09:46:02 2017  commencing in-memory singleton removal
Sat Mar 25 09:46:05 2017  begin with 17218248 relations and 16666467 unique ideals
Sat Mar 25 09:46:18 2017  reduce to 17218097 relations and 16604546 ideals in 4 passes
Sat Mar 25 09:46:18 2017  max relations containing the same ideal: 70
Sat Mar 25 09:46:23 2017  relations with 0 large ideals: 25
Sat Mar 25 09:46:23 2017  relations with 1 large ideals: 6524
Sat Mar 25 09:46:23 2017  relations with 2 large ideals: 106095
Sat Mar 25 09:46:23 2017  relations with 3 large ideals: 678628
Sat Mar 25 09:46:23 2017  relations with 4 large ideals: 2226296
Sat Mar 25 09:46:23 2017  relations with 5 large ideals: 4171300
Sat Mar 25 09:46:23 2017  relations with 6 large ideals: 4736619
Sat Mar 25 09:46:23 2017  relations with 7+ large ideals: 5292610
Sat Mar 25 09:46:23 2017  commencing 2-way merge
Sat Mar 25 09:46:41 2017  reduce to 10914916 relation sets and 10301365 unique ideals
Sat Mar 25 09:46:41 2017  commencing full merge
Sat Mar 25 09:50:13 2017  memory use: 1223.1 MB
Sat Mar 25 09:50:17 2017  found 6061986 cycles, need 5977565
Sat Mar 25 09:50:18 2017  weight of 5977565 cycles is about 418719785 (70.05/cycle)
Sat Mar 25 09:50:18 2017  distribution of cycle lengths:
Sat Mar 25 09:50:18 2017  1 relations: 576127
Sat Mar 25 09:50:18 2017  2 relations: 715729
Sat Mar 25 09:50:18 2017  3 relations: 827932
Sat Mar 25 09:50:18 2017  4 relations: 816133
Sat Mar 25 09:50:18 2017  5 relations: 768987
Sat Mar 25 09:50:18 2017  6 relations: 658644
Sat Mar 25 09:50:18 2017  7 relations: 525302
Sat Mar 25 09:50:18 2017  8 relations: 389328
Sat Mar 25 09:50:18 2017  9 relations: 274299
Sat Mar 25 09:50:19 2017  10+ relations: 425084
Sat Mar 25 09:50:19 2017  heaviest cycle: 14 relations
Sat Mar 25 09:50:22 2017  commencing cycle optimization
Sat Mar 25 09:50:35 2017  start with 29463700 relations
Sat Mar 25 09:51:36 2017  pruned 718826 relations
Sat Mar 25 09:51:36 2017  memory use: 1015.2 MB
Sat Mar 25 09:51:36 2017  distribution of cycle lengths:
Sat Mar 25 09:51:36 2017  1 relations: 576127
Sat Mar 25 09:51:36 2017  2 relations: 732625
Sat Mar 25 09:51:36 2017  3 relations: 859539
Sat Mar 25 09:51:36 2017  4 relations: 839767
Sat Mar 25 09:51:36 2017  5 relations: 791979
Sat Mar 25 09:51:36 2017  6 relations: 668293
Sat Mar 25 09:51:36 2017  7 relations: 525105
Sat Mar 25 09:51:36 2017  8 relations: 377452
Sat Mar 25 09:51:36 2017  9 relations: 257122
Sat Mar 25 09:51:37 2017  10+ relations: 349556
Sat Mar 25 09:51:37 2017  heaviest cycle: 14 relations
Sat Mar 25 09:52:01 2017  RelProcTime: 14230
Sat Mar 25 09:52:01 2017  elapsed time 03:57:15
Sat Mar 25 09:55:11 2017  
Sat Mar 25 09:55:12 2017  
Sat Mar 25 09:55:12 2017  Msieve v. 1.53 (SVN 988)
Sat Mar 25 09:55:12 2017  random seeds: f0b71500 7489333e
Sat Mar 25 09:55:12 2017  factoring 

777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777

7777777777777777777777777777777777777777777747 (223 digits)
Sat Mar 25 09:55:14 2017  searching for 15-digit factors
Sat Mar 25 09:55:15 2017  commencing number field sieve (223-digit input)
Sat Mar 25 09:55:15 2017  R0: -10000000000000000000000000000000000000
Sat Mar 25 09:55:15 2017  R1: 1
Sat Mar 25 09:55:16 2017  A0: -277
Sat Mar 25 09:55:16 2017  A1: 0
Sat Mar 25 09:55:16 2017  A2: 0
Sat Mar 25 09:55:16 2017  A3: 0
Sat Mar 25 09:55:16 2017  A4: 0
Sat Mar 25 09:55:16 2017  A5: 0
Sat Mar 25 09:55:16 2017  A6: 70
Sat Mar 25 09:55:16 2017  skew 1.26, size 2.138e-011, alpha 1.154, combined = 1.124e-012 rroots = 2
Sat Mar 25 09:55:16 2017  
Sat Mar 25 09:55:16 2017  commencing linear algebra
Sat Mar 25 09:55:18 2017  read 5977565 cycles
Sat Mar 25 09:55:32 2017  cycles contain 16878226 unique relations
Sat Mar 25 10:36:38 2017  read 16878226 relations
Sat Mar 25 10:37:10 2017  using 20 quadratic characters above 4294917295
Sat Mar 25 10:38:43 2017  building initial matrix
Sat Mar 25 10:43:47 2017  memory use: 2235.7 MB
Sat Mar 25 10:46:58 2017  read 5977565 cycles
Sat Mar 25 10:47:00 2017  matrix is 5977364 x 5977565 (1770.5 MB) with weight 514608165 (86.09/col)
Sat Mar 25 10:47:00 2017  sparse part has weight 404345565 (67.64/col)
Sat Mar 25 10:48:10 2017  filtering completed in 2 passes
Sat Mar 25 10:48:13 2017  matrix is 5976068 x 5976268 (1770.4 MB) with weight 514574171 (86.10/col)
Sat Mar 25 10:48:13 2017  sparse part has weight 404334508 (67.66/col)
Sat Mar 25 10:49:29 2017  matrix starts at (0, 0)
Sat Mar 25 10:49:31 2017  matrix is 5976068 x 5976268 (1770.4 MB) with weight 514574171 (86.10/col)
Sat Mar 25 10:49:31 2017  sparse part has weight 404334508 (67.66/col)
Sat Mar 25 10:49:31 2017  saving the first 48 matrix rows for later
Sat Mar 25 10:49:34 2017  matrix includes 64 packed rows
Sat Mar 25 10:49:36 2017  matrix is 5976020 x 5976268 (1690.0 MB) with weight 408535262 (68.36/col)
Sat Mar 25 10:49:36 2017  sparse part has weight 383267643 (64.13/col)
Sat Mar 25 10:49:36 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Sat Mar 25 10:50:08 2017  commencing Lanczos iteration (8 threads)
Sat Mar 25 10:50:08 2017  memory use: 1386.8 MB
Sat Mar 25 10:50:34 2017  linear algebra at 0.0%, ETA 27h15m
Sat Mar 25 10:50:43 2017  checkpointing every 220000 dimensions
Sat Mar 25 11:02:22 2017  lanczos halted after 660 iterations (dim = 41729)
Sat Mar 25 11:02:24 2017  BLanczosTime: 4028
Sat Mar 25 11:02:24 2017  elapsed time 01:07:12
Sat Mar 25 11:23:28 2017  
Sat Mar 25 11:23:28 2017  
Sat Mar 25 11:23:28 2017  Msieve v. 1.53 (SVN 988)
Sat Mar 25 11:23:29 2017  random seeds: 621654b8 d449324b
Sat Mar 25 11:23:29 2017  factoring 

7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777747 (223 digits)
Sat Mar 25 11:23:32 2017  searching for 15-digit factors
Sat Mar 25 11:23:34 2017  commencing number field sieve (223-digit input)
Sat Mar 25 11:23:34 2017  R0: -10000000000000000000000000000000000000
Sat Mar 25 11:23:34 2017  R1: 1
Sat Mar 25 11:23:34 2017  A0: -277
Sat Mar 25 11:23:34 2017  A1: 0
Sat Mar 25 11:23:34 2017  A2: 0
Sat Mar 25 11:23:34 2017  A3: 0
Sat Mar 25 11:23:34 2017  A4: 0
Sat Mar 25 11:23:34 2017  A5: 0
Sat Mar 25 11:23:34 2017  A6: 70
Sat Mar 25 11:23:34 2017  skew 1.26, size 2.138e-011, alpha 1.154, combined = 1.124e-012 rroots = 2
Sat Mar 25 11:23:34 2017  
Sat Mar 25 11:23:34 2017  commencing linear algebra
Sat Mar 25 11:25:34 2017  matrix starts at (0, 0)
Sat Mar 25 11:25:34 2017  matrix is 5976068 x 5976268 (1770.4 MB) with weight 514574171 (86.10/col)
Sat Mar 25 11:25:34 2017  sparse part has weight 404334508 (67.66/col)
Sat Mar 25 11:25:34 2017  saving the first 48 matrix rows for later
Sat Mar 25 11:25:36 2017  matrix includes 64 packed rows
Sat Mar 25 11:25:37 2017  matrix is 5976020 x 5976268 (1690.0 MB) with weight 408535262 (68.36/col)
Sat Mar 25 11:25:37 2017  sparse part has weight 383267643 (64.13/col)
Sat Mar 25 11:25:37 2017  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Sat Mar 25 11:25:58 2017  commencing Lanczos iteration (32 threads)
Sat Mar 25 11:25:58 2017  memory use: 1387.3 MB
Sat Mar 25 11:26:01 2017  restarting at iteration 660 (dim = 41729)
Sat Mar 25 11:26:07 2017  linear algebra at 0.7%, ETA 6h30m
Sat Mar 25 11:26:10 2017  checkpointing every 920000 dimensions
Sat Mar 25 17:24:46 2017  lanczos halted after 94500 iterations (dim = 5976014)
Sat Mar 25 17:24:52 2017  recovered 33 nontrivial dependencies
Sat Mar 25 17:24:54 2017  BLanczosTime: 21680
Sat Mar 25 17:24:54 2017  elapsed time 06:01:25
Sat Mar 25 18:19:40 2017  
Sat Mar 25 18:19:46 2017  
Sat Mar 25 18:19:46 2017  Msieve v. 1.53 (SVN 988)
Sat Mar 25 18:19:46 2017  random seeds: 01018480 9d7f8468
Sat Mar 25 18:19:46 2017  factoring 

7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777747 (223 digits)
Sat Mar 25 18:19:48 2017  searching for 15-digit factors
Sat Mar 25 18:19:48 2017  commencing number field sieve (223-digit input)
Sat Mar 25 18:19:48 2017  R0: -10000000000000000000000000000000000000
Sat Mar 25 18:19:48 2017  R1: 1
Sat Mar 25 18:19:48 2017  A0: -277
Sat Mar 25 18:19:48 2017  A1: 0
Sat Mar 25 18:19:48 2017  A2: 0
Sat Mar 25 18:19:48 2017  A3: 0
Sat Mar 25 18:19:48 2017  A4: 0
Sat Mar 25 18:19:48 2017  A5: 0
Sat Mar 25 18:19:48 2017  A6: 70
Sat Mar 25 18:19:48 2017  skew 1.26, size 2.138e-011, alpha 1.154, combined = 1.124e-012 rroots = 2
Sat Mar 25 18:19:48 2017  
Sat Mar 25 18:19:48 2017  commencing square root phase
Sat Mar 25 18:19:48 2017  reading relations for dependency 1
Sat Mar 25 18:19:50 2017  read 2990913 cycles
Sat Mar 25 18:19:53 2017  cycles contain 8442426 unique relations
Sat Mar 25 18:23:28 2017  read 8442426 relations
Sat Mar 25 18:24:52 2017  multiplying 8442426 relations
Sat Mar 25 18:38:50 2017  multiply complete, coefficients have about 266.51 million bits
Sat Mar 25 18:38:53 2017  initial square root is modulo 60589
Sat Mar 25 18:54:11 2017  GCD is N, no factor found
Sat Mar 25 18:54:11 2017  reading relations for dependency 2
Sat Mar 25 18:54:15 2017  read 2989178 cycles
Sat Mar 25 18:54:27 2017  cycles contain 8440936 unique relations
Sat Mar 25 18:56:39 2017  read 8440936 relations
Sat Mar 25 18:57:49 2017  multiplying 8440936 relations
Sat Mar 25 19:11:39 2017  multiply complete, coefficients have about 266.46 million bits
Sat Mar 25 19:11:43 2017  initial square root is modulo 60589
Sat Mar 25 19:26:32 2017  GCD is 1, no factor found
Sat Mar 25 19:26:33 2017  reading relations for dependency 3
Sat Mar 25 19:26:36 2017  read 2987994 cycles
Sat Mar 25 19:26:46 2017  cycles contain 8442034 unique relations
Sat Mar 25 19:28:44 2017  read 8442034 relations
Sat Mar 25 19:30:00 2017  multiplying 8442034 relations
Sat Mar 25 19:43:59 2017  multiply complete, coefficients have about 266.49 million bits
Sat Mar 25 19:44:02 2017  initial square root is modulo 60589
Sat Mar 25 19:59:17 2017  sqrtTime: 5969
Sat Mar 25 19:59:18 2017  p66 factor: 280644558775702659536145505776459915702225493602136282303542354089
Sat Mar 25 19:59:18 2017  p158 factor: 

27713980316268842598101081375087584822076982552323252711032548441968692210649522586441659302682264147330852723672815042706292853113982455290544580043848263323
Sat Mar 25 19:59:18 2017  elapsed time 01:39:32

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:06:35 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 35 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 08:43:42 UTC 2015 年 1 月 10 日 (土) 17 時 43 分 42 秒 (日本時間)
4511e6436KTakahashiMarch 10, 2015 00:07:24 UTC 2015 年 3 月 10 日 (火) 9 時 7 分 24 秒 (日本時間)
5043e61000 / 7364Serge BatalovJanuary 11, 2015 21:22:44 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 44 秒 (日本時間)

7×10224-2779

c186

composite cofactor 合成数の残り
259616202721179836631557980343448966923208799862919865483144010381854050285892666272653655613795895856566671907736621279379080952432588597035400364801492956128456971600916149499224429527<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:35 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 35 秒 (日本時間)
4511e6585 / 4409CypJuly 5, 2015 06:15:46 UTC 2015 年 7 月 5 日 (日) 15 時 15 分 46 秒 (日本時間)

7×10225-2779

c179

composite cofactor 合成数の残り
42921159236031071145510051459469421797413012078952405787461058190280174612453393747758879988856251671947008679509924544858300792313283271755236161157922348299433234116536130963653<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:36 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 36 秒 (日本時間)
4511e6585 / 4409CypMay 16, 2015 20:25:44 UTC 2015 年 5 月 17 日 (日) 5 時 25 分 44 秒 (日本時間)

7×10226-2779

c202

name 名前Dmitry Domanov
date 日付August 2, 2018 08:06:52 UTC 2018 年 8 月 2 日 (木) 17 時 6 分 52 秒 (日本時間)
composite number 合成数
3330565223788315281384955105662513936776725786550776328443259298554850564793057703927254785889439701025671459319982538449643342457281876308495512225635047334800924479199341654081823788803990604430367099<202>
prime factors 素因数
964895323643536260169712267067066377<36>
812543706911207179221966450948725889757<39>
composite cofactor 合成数の残り
4248063601791172714122556923132926365313066355147980008614844774597640176559576994155570355369860228446973204318008419084835391<127>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1877261580
Step 1 took 80438ms
Step 2 took 25774ms
********** Factor found in step 2: 812543706911207179221966450948725889757
Found prime factor of 39 digits: 812543706911207179221966450948725889757
Composite cofactor 4098936703908619937801840317897778038084024788638797637145869749261933838857413591164293970958595105884465515828659353422741329978538110397440720051958962315748407 has 163 digits

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3036899870
Step 1 took 44652ms
Step 2 took 24469ms
********** Factor found in step 2: 964895323643536260169712267067066377
Found prime factor of 36 digits: 964895323643536260169712267067066377
Composite cofactor 4248063601791172714122556923132926365313066355147980008614844774597640176559576994155570355369860228446973204318008419084835391 has 127 digits

c127

name 名前Dmitry Domanov
date 日付August 3, 2018 22:04:30 UTC 2018 年 8 月 4 日 (土) 7 時 4 分 30 秒 (日本時間)
composite number 合成数
4248063601791172714122556923132926365313066355147980008614844774597640176559576994155570355369860228446973204318008419084835391<127>
prime factors 素因数
2134292913166347889622766123932974943<37>
1990384532312822446988335457739487326036638555165186357395853158578351359587415759350837537<91>
factorization results 素因数分解の結果
N=4248063601791172714122556923132926365313066355147980008614844774597640176559576994155570355369860228446973204318008419084835391
  ( 127 digits)
Divisors found:
 r1=2134292913166347889622766123932974943 (pp37)
 r2=1990384532312822446988335457739487326036638555165186357395853158578351359587415759350837537 (pp91)
Version: Msieve v. 1.52 (SVN exported)
Total time: 71.37 hours.
Scaled time: 111.70 units (timescale=1.565).
Factorization parameters were as follows:
n: 4248063601791172714122556923132926365313066355147980008614844774597640176559576994155570355369860228446973204318008419084835391
skew: 152083.62
c0: -644303240147635984388548429380
c1: 11863137272901277095601027
c2: 489862151391753614460
c3: -42156742469988
c4: -21586744300
c5: 22200
Y0: -2860014139769827421252869
Y1: 19406014699049
rlim: 7800000
alim: 7800000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [3900000, 7500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1163265 x 1163513
Total sieving time: 69.59 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 1.45 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
gnfs,126,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,7800000,7800000,27,27,54,54,2.5,2.5,100000
total time: 71.37 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e61100 / 2318300Serge BatalovJanuary 9, 2015 00:06:37 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 37 秒 (日本時間)
800Dmitry DomanovAugust 1, 2018 21:13:42 UTC 2018 年 8 月 2 日 (木) 6 時 13 分 42 秒 (日本時間)

7×10228-2779

c223

composite cofactor 合成数の残り
1846694298489641495959564781640270809804469369541204630348521338684525783413888776768163623446369491343884289301018293617534309601464903442950468756966324474213156536097465359312628724485609898492490681448663085662608424039<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:06:37 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 37 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 08:39:53 UTC 2015 年 1 月 10 日 (土) 17 時 39 分 53 秒 (日本時間)

7×10229-2779

c227

name 名前Bob Backstrom
date 日付December 5, 2018 21:09:23 UTC 2018 年 12 月 6 日 (木) 6 時 9 分 23 秒 (日本時間)
composite number 合成数
14928556195350821070590744295158882490936233738537001492855619535082107059074429515888249093623373853700149285561953508210705907442951588824909362337385370014928556195350821070590744295158882490936233738537001492855619535082107<227>
prime factors 素因数
530839329131394626173317760498345466711047161586753234740824923031474056654901342679821993477<93>
28122551167748290505552305854392002855373149387255954993624277159904882974793350245647439797635799814550904917230787541137157693464191<134>
factorization results 素因数分解の結果
Number: n
N=14928556195350821070590744295158882490936233738537001492855619535082107059074429515888249093623373853700149285561953508210705907442951588824909362337385370014928556195350821070590744295158882490936233738537001492855619535082107
  ( 227 digits)
SNFS difficulty: 229 digits.
Divisors found:

Thu Dec  6 08:05:07 2018  p93 factor: 530839329131394626173317760498345466711047161586753234740824923031474056654901342679821993477
Thu Dec  6 08:05:07 2018  p134 factor: 28122551167748290505552305854392002855373149387255954993624277159904882974793350245647439797635799814550904917230787541137157693464191
Thu Dec  6 08:05:07 2018  elapsed time 35:05:18 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.123).
Factorization parameters were as follows:
#
# N = 7x10^229-277 = 7(227)47
#
n: 14928556195350821070590744295158882490936233738537001492855619535082107059074429515888249093623373853700149285561953508210705907442951588824909362337385370014928556195350821070590744295158882490936233738537001492855619535082107
m: 100000000000000000000000000000000000000
deg: 6
c6: 70
c0: -277
skew: 1.26
# Murphy_E = 7.009e-13
type: snfs
lss: 1
rlim: 47000000
alim: 47000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 47000000/47000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved  special-q in [100000, 142700000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 21724125 hash collisions in 108999858 relations (88628098 unique)
Msieve: matrix is 8054351 x 8054576 (2802.1 MB)

Sieving start time: 2018/12/01 13:07:05
Sieving end time  : 2018/12/04 20:56:22

Total sieving time: 79hrs 49min 17secs.

Total relation processing time: 34hrs 7min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 18min 14sec.

Prototype def-par.txt line would be:
snfs,229,6,0,0,0,0,0,0,0,0,47000000,47000000,30,30,59,59,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.044000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285108K/16703460K available (12300K kernel code, 2472K rwdata, 4248K rodata, 2408K init, 2416K bss, 418352K reserved, 0K cma-reserved)
[    0.076577] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.57 BogoMIPS (lpj=11977156)
[    0.074209] smpboot: Total of 16 processors activated (95817.24 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:06:38 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 38 秒 (日本時間)
1CypJanuary 9, 2015 01:06:17 UTC 2015 年 1 月 9 日 (金) 10 時 6 分 17 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 08:39:54 UTC 2015 年 1 月 10 日 (土) 17 時 39 分 54 秒 (日本時間)

7×10231-2779

c231

name 名前Serge Batalov
date 日付January 9, 2015 03:53:10 UTC 2015 年 1 月 9 日 (金) 12 時 53 分 10 秒 (日本時間)
composite number 合成数
259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259249<231>
prime factors 素因数
5107853339223146352930594331097<31>
composite cofactor 合成数の残り
50756989686530430376747002233742887525901862303920395690179615560456826161457378142932609643142746056819423047379039996327956035842519990146450853990525893285206813192963175345528184602787340211049817<200>
factorization results 素因数分解の結果
Input number is 259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259249 (231 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3885388997
Step 1 took 18121ms
Step 2 took 12404ms
********** Factor found in step 2: 5107853339223146352930594331097
Found probable prime factor of 31 digits: 5107853339223146352930594331097
Composite cofactor 50756989686530430376747002233742887525901862303920395690179615560456826161457378142932609643142746056819423047379039996327956035842519990146450853990525893285206813192963175345528184602787340211049817 has 200 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:06:38 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 38 秒 (日本時間)
1CypJanuary 9, 2015 00:14:13 UTC 2015 年 1 月 9 日 (金) 9 時 14 分 13 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovJanuary 13, 2017 16:57:38 UTC 2017 年 1 月 14 日 (土) 1 時 57 分 38 秒 (日本時間)

7×10233-2779

c152

name 名前Serge Batalov
date 日付January 10, 2015 23:57:33 UTC 2015 年 1 月 11 日 (日) 8 時 57 分 33 秒 (日本時間)
composite number 合成数
56466161038428023417651771059267045601214605793917661878057558573623652803450550541555782866753890859900755448855023260178848741100476240008411188007939<152>
prime factors 素因数
2052716961465457209236925687538527545797<40>
27508011137646668142800269688893367353370658185984252738712639589240236548788419333631110542871761406134641838887<113>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4153139532
Step 1 took 9325ms
Step 2 took 7756ms
********** Factor found in step 2: 2052716961465457209236925687538527545797
Found probable prime factor of 40 digits: 2052716961465457209236925687538527545797
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:06:39 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 39 秒 (日本時間)
1CypJanuary 9, 2015 00:26:18 UTC 2015 年 1 月 9 日 (金) 9 時 26 分 18 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 23:39:19 UTC 2015 年 1 月 11 日 (日) 8 時 39 分 19 秒 (日本時間)

7×10236-2779

c203

composite cofactor 合成数の残り
17488148818907836176924388156433454209475178218889576546893743522095170986476641740532472378534477800477809801948879152741550219365434507858421626484673646917006095734207532360985520391478696098851476201<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:39 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 39 秒 (日本時間)
4511e6585 / 4409CypJanuary 25, 2015 16:01:40 UTC 2015 年 1 月 26 日 (月) 1 時 1 分 40 秒 (日本時間)

7×10237-2779

c207

name 名前Cyp
date 日付July 2, 2015 21:03:16 UTC 2015 年 7 月 3 日 (金) 6 時 3 分 16 秒 (日本時間)
composite number 合成数
259489450291496858927571441617597992867935409206801563769531732160155043605508720199620344887570151732061833147596102494080018925182898990351324461595367223010254704393924444949223504744648320599095856745271<207>
prime factors 素因数
5952493071157277967117542448785923969<37>
composite cofactor 合成数の残り
43593406525553026816703345685463063113877157487455020602994028833882568938622661566877688176346756599025248831884755683997613971320878183000358762821253599492527968011959<170>
factorization results 素因数分解の結果
Run 139 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3981326656
Step 1 took 69334ms
Step 2 took 21642ms
********** Factor found in step 2: 5952493071157277967117542448785923969
Found probable prime factor of 37 digits: 5952493071157277967117542448785923969
Composite cofactor 43593406525553026816703345685463063113877157487455020602994028833882568938622661566877688176346756599025248831884755683997613971320878183000358762821253599492527968011959 has 170 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:40 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 40 秒 (日本時間)
4511e6585 / 4409CypJuly 2, 2015 21:03:15 UTC 2015 年 7 月 3 日 (金) 6 時 3 分 15 秒 (日本時間)

7×10238-2779

c176

composite cofactor 合成数の残り
48307102955332281728488227689756961805748851273959640888388546725283445638635501504264897266743232696027950308183042054012316581935790842354942352098525457541952201823434234511<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:41 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 41 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovJanuary 13, 2017 16:58:23 UTC 2017 年 1 月 14 日 (土) 1 時 58 分 23 秒 (日本時間)

7×10239-2779

c232

composite cofactor 合成数の残り
3161088296407915829322600950856262727585769436189601046406930247150185197099477502360734608560607340436289703681073322061705319618924664325049868538692057178144436021950470686724711202182968098707854129846479534123142082207867359001<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:41 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 41 秒 (日本時間)
4511e6585 / 4409CypMay 27, 2015 13:54:57 UTC 2015 年 5 月 27 日 (水) 22 時 54 分 57 秒 (日本時間)

7×10240-2779

c194

composite cofactor 合成数の残り
34369785028948139755687839429812291174106950480439947410779299088648289428496531504485064972396410243742714940812651345015473532509726778213736195082219079255673900036420795914763473943025341627<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:42 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 42 秒 (日本時間)
4511e6585 / 4409CypJune 14, 2015 12:01:46 UTC 2015 年 6 月 14 日 (日) 21 時 1 分 46 秒 (日本時間)

7×10242-2779

c118

name 名前Serge Batalov
date 日付January 11, 2015 00:21:29 UTC 2015 年 1 月 11 日 (日) 9 時 21 分 29 秒 (日本時間)
composite number 合成数
6667043354064623820637323338693577052820915403402538795204599343496944256172750680813060087411538160424233761397486033<118>
prime factors 素因数
276059073984099439144975885929992986163<39>
24150785039757957196721599903981809068952140166123394965300996718464337930560491<80>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=566566539
Step 1 took 7791ms
Step 2 took 6602ms
********** Factor found in step 2: 276059073984099439144975885929992986163
Found probable prime factor of 39 digits: 276059073984099439144975885929992986163
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 11, 2015 00:11:48 UTC 2015 年 1 月 11 日 (日) 9 時 11 分 48 秒 (日本時間)

7×10243-2779

c208

composite cofactor 合成数の残り
1662726085125249176520481502031444800763482173043915223314263931082800148570073922274370934466020984689928452802399363348365846386609761453179337770559157879394202860766734573357224302083410747267055402029127<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:42 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 42 秒 (日本時間)
4511e6585 / 4409CypJune 21, 2015 22:50:20 UTC 2015 年 6 月 22 日 (月) 7 時 50 分 20 秒 (日本時間)

7×10244-2779

c218

name 名前Ignacio Santos
date 日付February 10, 2022 14:43:30 UTC 2022 年 2 月 10 日 (木) 23 時 43 分 30 秒 (日本時間)
composite number 合成数
94435524449841928029911070045846882629655883842928597740120620435061488427063620174510437451695881296038446208773287123577193487393437304763812300609475660246402666297916423897181536012817593635606755427630754432016159<218>
prime factors 素因数
181216800328831813112037658058179034844289<42>
521119036857959142268871237956687218988136539914967758025876928333801466689780322810790316438393354538549566499827155668088224713932989392813530364869560804737953028981958908831<177>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:979401334
Step 1 took 11344ms
Step 2 took 5047ms
********** Factor found in step 2: 181216800328831813112037658058179034844289
Found prime factor of 42 digits: 181216800328831813112037658058179034844289
Prime cofactor 521119036857959142268871237956687218988136539914967758025876928333801466689780322810790316438393354538549566499827155668088224713932989392813530364869560804737953028981958908831 has 177 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e61101 / 2318300Serge BatalovJanuary 9, 2015 00:06:43 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 43 秒 (日本時間)
1CypJanuary 9, 2015 01:06:16 UTC 2015 年 1 月 9 日 (金) 10 時 6 分 16 秒 (日本時間)
800Dmitry DomanovAugust 1, 2018 21:14:17 UTC 2018 年 8 月 2 日 (木) 6 時 14 分 17 秒 (日本時間)

7×10246-2779

c205

composite cofactor 合成数の残り
1693940871967003077142485538766571639997645030865988798968605811966650826216383949160520047486412991368888715201579782763895904223348191878357324649416560176935474610128704570175207460018972654734565824151<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62651300Serge BatalovJanuary 9, 2015 00:06:44 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 44 秒 (日本時間)
1CypJanuary 9, 2015 07:18:45 UTC 2015 年 1 月 9 日 (金) 16 時 18 分 45 秒 (日本時間)
2350Ignacio SantosFebruary 10, 2022 14:47:23 UTC 2022 年 2 月 10 日 (木) 23 時 47 分 23 秒 (日本時間)
4511e6561 / 3889CypJuly 11, 2015 07:21:43 UTC 2015 年 7 月 11 日 (土) 16 時 21 分 43 秒 (日本時間)

7×10248-2779

c224

composite cofactor 合成数の残り
80776632606722045126320029126905584652145440892342487734172886597207577150694398209101363239791304865393670978585825628199531614601413718437348682407502134591360185856058728734288715179100807661037459614477343503726833678793<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e63450300Serge BatalovJanuary 9, 2015 00:06:44 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 44 秒 (日本時間)
800Dmitry DomanovAugust 1, 2018 21:14:57 UTC 2018 年 8 月 2 日 (木) 6 時 14 分 57 秒 (日本時間)
2350Ignacio SantosFebruary 10, 2022 15:02:18 UTC 2022 年 2 月 11 日 (金) 0 時 2 分 18 秒 (日本時間)

7×10249-2779

c206

composite cofactor 合成数の残り
85813262146140449929529722433910162195889856861794832123096705800374237134930647608516475970073987007659389309608798299605441736799654671902899391359066384877573221618072054208131451737067112070185402370073<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6281CypJanuary 8, 2015 23:20:38 UTC 2015 年 1 月 9 日 (金) 8 時 20 分 38 秒 (日本時間)
4511e6591 / 4413CypMay 25, 2015 07:10:59 UTC 2015 年 5 月 25 日 (月) 16 時 10 分 59 秒 (日本時間)

7×10250-2779

c222

composite cofactor 合成数の残り
991888547889651993933063507450249589969265598237515483546640208988521337743214981950504565494821616335444768800022463618773397816300225300373069119895450018298257115947289143713892370535933984279379741532120827583455990797<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:06:45 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 45 秒 (日本時間)
1CypJanuary 9, 2015 00:18:39 UTC 2015 年 1 月 9 日 (金) 9 時 18 分 39 秒 (日本時間)
4511e6600 / 2654Dmitry DomanovApril 21, 2015 11:00:38 UTC 2015 年 4 月 21 日 (火) 20 時 0 分 38 秒 (日本時間)
5043e6500 / 7407Dmitry DomanovJune 20, 2015 09:43:39 UTC 2015 年 6 月 20 日 (土) 18 時 43 分 39 秒 (日本時間)

7×10252-2779

c213

composite cofactor 合成数の残り
159187958551069424433257755401988217137811646052612233038472265764077681835206335484349005778746037321656013039077042939335964820462492739727551671575842785805267574567658531999080252197860246997162554930668133829<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10255-2779

c182

composite cofactor 合成数の残り
25151425590598069971808201306308717200317908389585574912655635670161817205522400727052796614887165376104844566293201999263507148601737003504757706726677421701045831603739603594166013<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10256-2779

c208

composite cofactor 合成数の残り
3785608331217738670850727438792056725848100026250947712083229805905589700525668611359307190698817677793926077514665829339330874931904393974674876130824306582029700408829788328445026962714977111406337969599737<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10257-2779

c257

name 名前NFS@home + Dmitry Domanov
date 日付January 1, 2024 19:56:55 UTC 2024 年 1 月 2 日 (火) 4 時 56 分 55 秒 (日本時間)
composite number 合成数
77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777747<257>
prime factors 素因数
7322218184979124257117485147928746527290086623957711259082199845443<67>
72810209185915047856231619234481470555040344998909281247170110813088577<71>
145888341146942615830698487165798280836324543357002873361993814868422849432252454946471024895887355707970539907568145777<120>
factorization results 素因数分解の結果
Sieving by NFS@home, postprocessing, linear algebra and square root by Dmitry Domanov.
-----
Sun Dec 31 23:42:52 2023  
Sun Dec 31 23:42:52 2023  
Sun Dec 31 23:42:52 2023  Msieve v. 1.54 (SVN Unversioned directory)
Sun Dec 31 23:42:52 2023  random seeds: 34f9b40c c6258118
Sun Dec 31 23:42:52 2023  Using 64 OpenMP threads
Sun Dec 31 23:42:52 2023  factoring 77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777747 (257 digits)
Sun Dec 31 23:42:53 2023  searching for 15-digit factors
Sun Dec 31 23:42:53 2023  commencing number field sieve (257-digit input)
Sun Dec 31 23:42:53 2023  R0: -10000000000000000000000000000000000000000000
Sun Dec 31 23:42:53 2023  R1: 1
Sun Dec 31 23:42:53 2023  A0: -2770
Sun Dec 31 23:42:53 2023  A1: 0
Sun Dec 31 23:42:53 2023  A2: 0
Sun Dec 31 23:42:53 2023  A3: 0
Sun Dec 31 23:42:53 2023  A4: 0
Sun Dec 31 23:42:53 2023  A5: 0
Sun Dec 31 23:42:53 2023  A6: 7
Sun Dec 31 23:42:53 2023  skew 1.00, size 4.987e-13, alpha 0.875, combined = 6.540e-14 rroots = 2
Sun Dec 31 23:42:53 2023  
Sun Dec 31 23:42:53 2023  commencing relation filtering
Sun Dec 31 23:42:53 2023  setting target matrix density to 120.0
Sun Dec 31 23:42:53 2023  estimated available RAM is 257736.5 MB
Sun Dec 31 23:42:53 2023  commencing duplicate removal, pass 1
Sun Dec 31 23:43:25 2023  error -15 reading relation 23472731
Sun Dec 31 23:43:41 2023  error -1 reading relation 35388473
Sun Dec 31 23:44:33 2023  error -1 reading relation 73856377
Sun Dec 31 23:44:36 2023  error -1 reading relation 76520298
Sun Dec 31 23:44:38 2023  error -1 reading relation 77987216
Sun Dec 31 23:44:42 2023  error -1 reading relation 81186358
Sun Dec 31 23:44:51 2023  error -1 reading relation 88050529
Sun Dec 31 23:45:13 2023  error -1 reading relation 105145294
Sun Dec 31 23:45:17 2023  error -1 reading relation 107783327
Sun Dec 31 23:45:26 2023  error -1 reading relation 115075480
Sun Dec 31 23:45:32 2023  error -1 reading relation 119293593
Sun Dec 31 23:45:38 2023  error -1 reading relation 123706191
Sun Dec 31 23:45:40 2023  error -1 reading relation 125662947
Sun Dec 31 23:45:42 2023  error -1 reading relation 127126588
Sun Dec 31 23:45:43 2023  error -1 reading relation 127473494
Sun Dec 31 23:45:43 2023  error -1 reading relation 128119276
Sun Dec 31 23:45:44 2023  error -1 reading relation 128273527
Sun Dec 31 23:45:46 2023  error -1 reading relation 130063544
Sun Dec 31 23:45:51 2023  error -1 reading relation 134402389
Sun Dec 31 23:45:52 2023  error -1 reading relation 134490104
Sun Dec 31 23:45:52 2023  error -1 reading relation 134785347
Sun Dec 31 23:45:52 2023  error -1 reading relation 134869732
Sun Dec 31 23:45:53 2023  error -1 reading relation 135275363
Sun Dec 31 23:46:10 2023  error -1 reading relation 148162630
Sun Dec 31 23:46:11 2023  error -1 reading relation 148854372
Sun Dec 31 23:46:16 2023  error -15 reading relation 153209476
Sun Dec 31 23:46:17 2023  error -1 reading relation 154138767
Sun Dec 31 23:46:23 2023  error -1 reading relation 158468579
Sun Dec 31 23:46:27 2023  error -1 reading relation 161376343
Sun Dec 31 23:46:30 2023  error -1 reading relation 164033192
Sun Dec 31 23:46:35 2023  error -1 reading relation 167242552
Sun Dec 31 23:46:47 2023  error -1 reading relation 176867874
Sun Dec 31 23:46:55 2023  error -1 reading relation 183155763
Sun Dec 31 23:46:59 2023  error -1 reading relation 186132553
Sun Dec 31 23:47:02 2023  error -1 reading relation 188085443
Sun Dec 31 23:47:13 2023  error -1 reading relation 196458316
Sun Dec 31 23:47:13 2023  error -15 reading relation 196470696
Sun Dec 31 23:47:13 2023  error -1 reading relation 196484567
Sun Dec 31 23:47:13 2023  error -15 reading relation 196499294
Sun Dec 31 23:47:13 2023  error -15 reading relation 196509303
Sun Dec 31 23:47:13 2023  error -1 reading relation 196511833
Sun Dec 31 23:47:13 2023  error -15 reading relation 196514718
Sun Dec 31 23:47:13 2023  error -15 reading relation 196530155
Sun Dec 31 23:47:13 2023  error -15 reading relation 196536279
Sun Dec 31 23:47:16 2023  error -1 reading relation 198399873
Sun Dec 31 23:47:21 2023  error -1 reading relation 202522734
Sun Dec 31 23:47:22 2023  error -1 reading relation 202976157
Sun Dec 31 23:47:24 2023  error -1 reading relation 204354148
Sun Dec 31 23:47:39 2023  error -1 reading relation 216167859
Sun Dec 31 23:48:04 2023  error -1 reading relation 234512840
Sun Dec 31 23:48:15 2023  error -5 reading relation 242949393
Sun Dec 31 23:48:18 2023  skipped 153 relations with b > 2^32
Sun Dec 31 23:48:18 2023  skipped 4 relations with composite factors
Sun Dec 31 23:48:18 2023  skipped 525 malformed relations
Sun Dec 31 23:48:18 2023  found 54208802 hash collisions in 246367154 relations
Sun Dec 31 23:48:27 2023  commencing duplicate removal, pass 2
Sun Dec 31 23:52:55 2023  found 57541776 duplicates and 188825378 unique relations
Sun Dec 31 23:52:55 2023  memory use: 1449.5 MB
Sun Dec 31 23:52:55 2023  reading ideals above 720000
Sun Dec 31 23:52:55 2023  commencing singleton removal, initial pass
Mon Jan  1 00:02:28 2024  memory use: 5512.0 MB
Mon Jan  1 00:02:28 2024  reading all ideals from disk
Mon Jan  1 00:02:31 2024  memory use: 9297.2 MB
Mon Jan  1 00:02:54 2024  keeping 179215786 ideals with weight <= 200, target excess is 1003797
Mon Jan  1 00:03:21 2024  commencing in-memory singleton removal
Mon Jan  1 00:03:23 2024  begin with 188825378 relations and 179215786 unique ideals
Mon Jan  1 00:03:34 2024  reduce to 122412889 relations and 106114722 ideals in 17 passes
Mon Jan  1 00:03:34 2024  max relations containing the same ideal: 161
Mon Jan  1 00:04:18 2024  removing 11900517 relations and 9900517 ideals in 2000000 cliques
Mon Jan  1 00:04:24 2024  commencing in-memory singleton removal
Mon Jan  1 00:04:26 2024  begin with 110512372 relations and 106114722 unique ideals
Mon Jan  1 00:04:30 2024  reduce to 109537889 relations and 95218642 ideals in 9 passes
Mon Jan  1 00:04:30 2024  max relations containing the same ideal: 149
Mon Jan  1 00:05:08 2024  removing 9142979 relations and 7142979 ideals in 2000000 cliques
Mon Jan  1 00:05:12 2024  commencing in-memory singleton removal
Mon Jan  1 00:05:13 2024  begin with 100394910 relations and 95218642 unique ideals
Mon Jan  1 00:05:16 2024  reduce to 99746926 relations and 87415392 ideals in 8 passes
Mon Jan  1 00:05:16 2024  max relations containing the same ideal: 140
Mon Jan  1 00:05:52 2024  removing 8312523 relations and 6312523 ideals in 2000000 cliques
Mon Jan  1 00:05:56 2024  commencing in-memory singleton removal
Mon Jan  1 00:05:57 2024  begin with 91434403 relations and 87415392 unique ideals
Mon Jan  1 00:06:01 2024  reduce to 90854283 relations and 80511574 ideals in 10 passes
Mon Jan  1 00:06:01 2024  max relations containing the same ideal: 135
Mon Jan  1 00:06:32 2024  removing 7905029 relations and 5905029 ideals in 2000000 cliques
Mon Jan  1 00:06:36 2024  commencing in-memory singleton removal
Mon Jan  1 00:06:37 2024  begin with 82949254 relations and 80511574 unique ideals
Mon Jan  1 00:06:40 2024  reduce to 82387610 relations and 74033429 ideals in 8 passes
Mon Jan  1 00:06:40 2024  max relations containing the same ideal: 125
Mon Jan  1 00:07:09 2024  removing 7661293 relations and 5661293 ideals in 2000000 cliques
Mon Jan  1 00:07:12 2024  commencing in-memory singleton removal
Mon Jan  1 00:07:13 2024  begin with 74726317 relations and 74033429 unique ideals
Mon Jan  1 00:07:15 2024  reduce to 74160209 relations and 67793704 ideals in 8 passes
Mon Jan  1 00:07:15 2024  max relations containing the same ideal: 116
Mon Jan  1 00:07:41 2024  removing 7505947 relations and 5505947 ideals in 2000000 cliques
Mon Jan  1 00:07:44 2024  commencing in-memory singleton removal
Mon Jan  1 00:07:45 2024  begin with 66654262 relations and 67793704 unique ideals
Mon Jan  1 00:07:47 2024  reduce to 66063725 relations and 61683213 ideals in 8 passes
Mon Jan  1 00:07:47 2024  max relations containing the same ideal: 108
Mon Jan  1 00:08:10 2024  removing 7410905 relations and 5410905 ideals in 2000000 cliques
Mon Jan  1 00:08:13 2024  commencing in-memory singleton removal
Mon Jan  1 00:08:13 2024  begin with 58652820 relations and 61683213 unique ideals
Mon Jan  1 00:08:15 2024  reduce to 58015639 relations and 55618603 ideals in 8 passes
Mon Jan  1 00:08:15 2024  max relations containing the same ideal: 99
Mon Jan  1 00:08:35 2024  removing 5002950 relations and 3770319 ideals in 1232631 cliques
Mon Jan  1 00:08:38 2024  commencing in-memory singleton removal
Mon Jan  1 00:08:38 2024  begin with 53012689 relations and 55618603 unique ideals
Mon Jan  1 00:08:40 2024  reduce to 52701280 relations and 51531000 ideals in 7 passes
Mon Jan  1 00:08:40 2024  max relations containing the same ideal: 92
Mon Jan  1 00:09:04 2024  relations with 0 large ideals: 36780
Mon Jan  1 00:09:04 2024  relations with 1 large ideals: 15507
Mon Jan  1 00:09:04 2024  relations with 2 large ideals: 158546
Mon Jan  1 00:09:04 2024  relations with 3 large ideals: 1086888
Mon Jan  1 00:09:04 2024  relations with 4 large ideals: 4103003
Mon Jan  1 00:09:04 2024  relations with 5 large ideals: 9379603
Mon Jan  1 00:09:04 2024  relations with 6 large ideals: 13563821
Mon Jan  1 00:09:04 2024  relations with 7+ large ideals: 24357132
Mon Jan  1 00:09:04 2024  commencing 2-way merge
Mon Jan  1 00:09:34 2024  reduce to 34972096 relation sets and 33801816 unique ideals
Mon Jan  1 00:09:34 2024  commencing full merge
Mon Jan  1 00:20:49 2024  memory use: 4542.4 MB
Mon Jan  1 00:20:52 2024  found 15928164 cycles, need 15866016
Mon Jan  1 00:20:56 2024  weight of 15866016 cycles is about 1904646182 (120.05/cycle)
Mon Jan  1 00:20:56 2024  distribution of cycle lengths:
Mon Jan  1 00:20:56 2024  1 relations: 765158
Mon Jan  1 00:20:56 2024  2 relations: 1076910
Mon Jan  1 00:20:56 2024  3 relations: 1237994
Mon Jan  1 00:20:56 2024  4 relations: 1243335
Mon Jan  1 00:20:56 2024  5 relations: 1238674
Mon Jan  1 00:20:56 2024  6 relations: 1186361
Mon Jan  1 00:20:56 2024  7 relations: 1132551
Mon Jan  1 00:20:56 2024  8 relations: 1060292
Mon Jan  1 00:20:56 2024  9 relations: 987090
Mon Jan  1 00:20:56 2024  10+ relations: 5937651
Mon Jan  1 00:20:56 2024  heaviest cycle: 28 relations
Mon Jan  1 00:20:59 2024  commencing cycle optimization
Mon Jan  1 00:21:25 2024  start with 135292383 relations
Mon Jan  1 00:25:30 2024  pruned 6106881 relations
Mon Jan  1 00:25:30 2024  memory use: 3580.0 MB
Mon Jan  1 00:25:30 2024  distribution of cycle lengths:
Mon Jan  1 00:25:30 2024  1 relations: 765158
Mon Jan  1 00:25:30 2024  2 relations: 1104759
Mon Jan  1 00:25:30 2024  3 relations: 1293801
Mon Jan  1 00:25:30 2024  4 relations: 1296934
Mon Jan  1 00:25:30 2024  5 relations: 1299825
Mon Jan  1 00:25:30 2024  6 relations: 1239897
Mon Jan  1 00:25:30 2024  7 relations: 1185900
Mon Jan  1 00:25:30 2024  8 relations: 1104390
Mon Jan  1 00:25:30 2024  9 relations: 1024490
Mon Jan  1 00:25:30 2024  10+ relations: 5550862
Mon Jan  1 00:25:30 2024  heaviest cycle: 28 relations
Mon Jan  1 00:25:51 2024  RelProcTime: 2578
Mon Jan  1 00:25:51 2024  
Mon Jan  1 00:25:51 2024  commencing linear algebra
Mon Jan  1 00:25:51 2024  using VBITS=256
Mon Jan  1 00:25:52 2024  read 15866016 cycles
Mon Jan  1 00:26:16 2024  cycles contain 51998405 unique relations
Mon Jan  1 00:29:39 2024  read 51998405 relations
Mon Jan  1 00:29:44 2024  using 20 quadratic characters above 4294917295
Mon Jan  1 00:29:48 2024  building initial matrix
Mon Jan  1 00:38:54 2024  memory use: 6906.9 MB
Mon Jan  1 00:39:01 2024  read 15866016 cycles
Mon Jan  1 00:39:02 2024  matrix is 15865836 x 15866016 (7395.4 MB) with weight 2122231826 (133.76/col)
Mon Jan  1 00:39:02 2024  sparse part has weight 1779998201 (112.19/col)
Mon Jan  1 00:42:02 2024  filtering completed in 2 passes
Mon Jan  1 00:42:04 2024  matrix is 15865379 x 15865550 (7395.4 MB) with weight 2122216122 (133.76/col)
Mon Jan  1 00:42:04 2024  sparse part has weight 1779992482 (112.19/col)
Mon Jan  1 00:43:36 2024  matrix starts at (0, 0)
Mon Jan  1 00:43:38 2024  matrix is 15865379 x 15865550 (7395.4 MB) with weight 2122216122 (133.76/col)
Mon Jan  1 00:43:38 2024  sparse part has weight 1779992482 (112.19/col)
Mon Jan  1 00:43:38 2024  saving the first 240 matrix rows for later
Mon Jan  1 00:43:40 2024  matrix includes 256 packed rows
Mon Jan  1 00:43:45 2024  matrix is 15865139 x 15865550 (6834.7 MB) with weight 1622308430 (102.25/col)
Mon Jan  1 00:43:45 2024  sparse part has weight 1537823557 (96.93/col)
Mon Jan  1 00:43:45 2024  using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
Mon Jan  1 00:44:17 2024  commencing Lanczos iteration (64 threads)
Mon Jan  1 00:44:17 2024  memory use: 9436.4 MB
Mon Jan  1 00:46:37 2024  linear algebra at 0.2%, ETA 19h49m
Mon Jan  1 00:49:55 2024  checking every 10000 dimensions, checkpointing every 830000 dimensions
Mon Jan  1 20:07:58 2024  lanczos halted after 62159 iterations (dim = 15865137)
Mon Jan  1 20:09:06 2024  recovered 33 nontrivial dependencies
Mon Jan  1 20:09:08 2024  BLanczosTime: 70997
Mon Jan  1 20:09:08 2024  
Mon Jan  1 20:09:08 2024  commencing square root phase
Mon Jan  1 20:09:08 2024  handling dependencies 1 to 64
Mon Jan  1 20:09:08 2024  reading relations for dependency 1
Mon Jan  1 20:09:09 2024  read 7929669 cycles
Mon Jan  1 20:09:21 2024  cycles contain 25994334 unique relations
Mon Jan  1 20:12:37 2024  read 25994334 relations
Mon Jan  1 20:14:11 2024  multiplying 25994334 relations
Mon Jan  1 20:15:46 2024  multiply complete, coefficients have about 771.80 million bits
Mon Jan  1 20:15:47 2024  initial square root is modulo 8398879
Mon Jan  1 20:20:24 2024  found factor: 72810209185915047856231619234481470555040344998909281247170110813088577
Mon Jan  1 20:20:24 2024  reading relations for dependency 2
Mon Jan  1 20:20:25 2024  read 7934326 cycles
Mon Jan  1 20:20:38 2024  cycles contain 25998622 unique relations
Mon Jan  1 20:23:53 2024  read 25998622 relations
Mon Jan  1 20:25:26 2024  multiplying 25998622 relations
Mon Jan  1 20:27:01 2024  multiply complete, coefficients have about 771.92 million bits
Mon Jan  1 20:27:03 2024  initial square root is modulo 8419207
Mon Jan  1 20:31:40 2024  sqrtTime: 1352
Mon Jan  1 20:31:40 2024  p67 factor: 7322218184979124257117485147928746527290086623957711259082199845443
Mon Jan  1 20:31:40 2024  p71 factor: 72810209185915047856231619234481470555040344998909281247170110813088577
Mon Jan  1 20:31:40 2024  p120 factor: 145888341146942615830698487165798280836324543357002873361993814868422849432252454946471024895887355707970539907568145777
Mon Jan  1 20:31:40 2024  elapsed time 20:48:48

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)
4511e640002000Dmitry DomanovJuly 27, 2018 18:54:50 UTC 2018 年 7 月 28 日 (土) 3 時 54 分 50 秒 (日本時間)
1000Dmitry DomanovJuly 30, 2018 23:13:33 UTC 2018 年 7 月 31 日 (火) 8 時 13 分 33 秒 (日本時間)
1000Dmitry DomanovAugust 23, 2018 22:01:38 UTC 2018 年 8 月 24 日 (金) 7 時 1 分 38 秒 (日本時間)
5043e650002000Dmitry DomanovJuly 23, 2020 00:16:15 UTC 2020 年 7 月 23 日 (木) 9 時 16 分 15 秒 (日本時間)
3000Dmitry DomanovSeptember 24, 2020 09:32:05 UTC 2020 年 9 月 24 日 (木) 18 時 32 分 5 秒 (日本時間)
5511e7648Dmitry DomanovDecember 14, 2020 21:21:58 UTC 2020 年 12 月 15 日 (火) 6 時 21 分 58 秒 (日本時間)
6026e710000 / 41120yoyo@HomeOctober 27, 2022 12:43:58 UTC 2022 年 10 月 27 日 (木) 21 時 43 分 58 秒 (日本時間)

7×10260-2779

c240

composite cofactor 合成数の残り
298551933234022003956360353288133792172354121083216662267335619865115963375587293488856600296768685469642944344619281966108447054797481993639945520176298953319843886759020465716184743119611638789112350189054367672258394506410999268761903773<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10261-2779

c261

composite cofactor 合成数の残り
259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259249<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10263-2779

c199

composite cofactor 合成数の残り
1276020000642267170783783089423767011355461244739673592058887554446419219916728340348494682026730393668959718467800474272318095127457893304437783907928590228039961595036699169508777247143109265407427<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10264-2779

c262

composite cofactor 合成数の残り
4548408057179987004548408057179987004548408057179987004548408057179987004548408057179987004548408057179987004548408057179987004548408057179987004548408057179987004548408057179987004548408057179987004548408057179987004548408057179987004548408057179987004548408057<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10265-2779

c254

composite cofactor 合成数の残り
67214666357572161225826286114617103316732681566929181806904681039892134682889047658847331071425348421191304369634557602899602561766379401444317516060129339466711894285684114551228106166702142520039822043364200913643659249889429402022438495067286679579783<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10266-2779

c233

composite cofactor 合成数の残り
11630001955714092808401430587005447118796265264791832644501714485070936542015624624197742232698852333747380496300625319666710669784614802749685356979566418080689683868474329830817200381522872380402627795811882489302087454436450803263<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10267-2779

c251

composite cofactor 合成数の残り
17143899384200170729427204167548615909156709996234025755104880867882667916280844268068982012321931374430996880743934517994310756586344191245739936270670994045382527840109933617598698307265319692976640142986034327489978435539698652753691656714195017679<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10268-2779

c240

composite cofactor 合成数の残り
756338569392827528556446833511282107313770316244796011867347763641447219719478272257169389969233779457692807457100000450440358856369815350877943416209871521960513295024655959757955860545770990810775279955942894882731939568211885157600890557<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10269-2779

c218

composite cofactor 合成数の残り
17356660829436559595442806208909421837947986339547729662777829056123983262062140241482495635053515678445320213766758564958432359020469120818926380604334349944426740651172845979214682483354708094698114964375815155673903<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10270-2779

c257

composite cofactor 合成数の残り
20642629224841367248212114768941319041406551348598138313145689658126231796785666759211899348061926765201917185428420019404650799131797043421105027179079365059826324427433781196821448430930441964520966867208349309600186121643109791245818504598678413709845877<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10271-2779

c237

composite cofactor 合成数の残り
732873485771408586980036063155073620057985825508916308740672014236254938151595195766449518424719685780729917387785528945603758711421516270455091822612381861139927728476766991300870974220112109423702930810469879152912312662258709849260299<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10272-2779

c264

composite cofactor 合成数の残り
419731649858281895684346098944400744083719449424875268750352848160974167993967573555838501457658164618943752510523678318865180364635143115651811271676275796190780456518958356113893868989924041337213973095197646384274558502880620411635637941491145698785917028650287<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10274-2779

c240

composite cofactor 合成数の残り
522754822316728909036723464494120760603773300947394478700475634516475893140576462669176135577553991039434668084041476490613654022666623552991924791327870449233203268079025796056772295763253402087843353809256902200427717997289405167340996979<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10275-2779

c250

composite cofactor 合成数の残り
2252620887482936681997712102979692614877097615612206748268310628034385156215546729776951842149197427109851338670722817406580585040412665810033138629475828088036945524745743675688697099748608818184129984298634142714031650785086203985595199272649051369<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10276-2779

c274

composite cofactor 合成数の残り
8939974457215836526181353767560664112388250319284802043422733077905491698595146871008939974457215836526181353767560664112388250319284802043422733077905491698595146871008939974457215836526181353767560664112388250319284802043422733077905491698595146871008939974457215836526181<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10277-2779

c214

composite cofactor 合成数の残り
4931993974592114211319556403537193044647643715188373029670178371665275416786396275666358719943487115854567914802292648610572592333704730377634787003392067965517305463484186354148987895752746851000798029193643623593<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10279-2779

c239

composite cofactor 合成数の残り
51605011041290416389915465686988882337319630700485152589050924612854568251199826408847861268430235474759079118614268391627161873570006431365411964909047968073594880217970724184902993141391777618928745061779136723556076914352782241309562353<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10280-2779

c259

composite cofactor 合成数の残り
2949545904156869812232096060172454928245333621474210384262418619308857730962335739927703812574857980097750321494266078580645210928705093240957987255606817004182426471485327437429054215161604710645980515569663438718083147912559226626799778926794728133219033151<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10281-2779

c243

composite cofactor 合成数の残り
160304379756528170954941394155151511664471623456627427454474119301750470062405405419462701031441450358697795191024971585772906864534209247441322521398200380100703394262045244642810685600182543607479285854023037071535769902661910635973138525629<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10283-2779

c207

composite cofactor 合成数の残り
761618322162259630123415823818127688623155495973454484410544250141414673487756882446587276236121600636754506121626406958673287324082919994449933989141672610813901712068848262786332473157095346232841102568933<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10285-2779

c285

composite cofactor 合成数の残り
259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259249<285>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10287-2779

c278

composite cofactor 合成数の残り
60238043663327199209874379076884387205914580332501504209136441958693346851073895732776993556328466279517087048985501121028314514731413180927062405972732694141032367400873647269073193257192726680062528455865581309402597395203434195239837662847330390117493399734121271246197553847<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10288-2779

c258

composite cofactor 合成数の残り
115276669878267716068033670288283899351817342621539808187114464756008600129312514205715219745370400088917156430830402077615904028902153922688664809578114907282190966575090538951882051279727908712081432954964379373224384200263025124924528023255046003706733009<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10289-2779

c273

composite cofactor 合成数の残り
150808028227120737695629710593540639964322933773209570364107031113266516415991253719386215601472341743797440060032718255521509041104210069181573430374001030819165975727551565083058750381486361213050067317548065879677686696015804200475999582823042034833554987715856035529441<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10290-2779

c237

composite cofactor 合成数の残り
200412959715638302058676106559142414743645489272102553780791516695655780863228779811646873042011382260108409611793665410663714819728117548630255539480837271742842297547078095613116195032329997964976855400592039828870118340483137457515511<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10291-2779

c254

composite cofactor 合成数の残り
77537759563560871908044927973994985625818958578691798722674504324177642838451701428783701880497445762280835004086379448840163641185699309218090575120977433367683067361645665695634355075281067670427495000969603804256576515198295103585278544802611091191849<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10292-2779

c181

composite cofactor 合成数の残り
4381675739014717379688151492852999620510418440209504821406567109194363768056105905796827622483776356811789365063752831176268886218331094858780971145605024731117400390981897224352381<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)
4511e62800Serge BatalovJuly 23, 2018 01:57:52 UTC 2018 年 7 月 23 日 (月) 10 時 57 分 52 秒 (日本時間)
5043e66832324Dmitry DomanovJuly 27, 2018 20:33:54 UTC 2018 年 7 月 28 日 (土) 5 時 33 分 54 秒 (日本時間)
6508ebinaOctober 6, 2022 03:30:15 UTC 2022 年 10 月 6 日 (木) 12 時 30 分 15 秒 (日本時間)

7×10293-2779

c259

composite cofactor 合成数の残り
2754972359268916100305948834743917206780294913794597812212886138505230762797732344457869436792511303047187221108363579562126145889954901134205666517966394039557182912833202905023978278773342060609224085094467202083200396371979514614265069197132970755413993307<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10294-2779

c213

composite cofactor 合成数の残り
269207873613030067072396980360760268255611006608402952716125829828223139332091975823442745249555606743390512068898648290506583002224517493161217828367912149208193886864342462366104738646348385568707748064494602557<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10295-2779

c288

composite cofactor 合成数の残り
179906351599140398199732653507324055681005539571004720508787704365166243325175582623699797200051141721560013927938526287508736284559788471868792981892289496737451000609700055478749678921776823698413977216418044955569697736845690269200324825543975574823988428156175706628007773013266466563<288>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10296-2779

c243

composite cofactor 合成数の残り
853355350480732455228225302238506083249924641677653628358310201764799533356699182999415831426717011195517024170828409086556358070199158871043244862243840490250173440837153672696440332054001466440894611246190369319254557461150276209599619181671<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10298-2779

c266

composite cofactor 合成数の残り
49999575062756493253708284904983798173374387387682948147636363800647463248032866712708182940709119163619295159289223448193482349450933656573329803382791273036523458909694055268305537259537889087623139372691424808647655721863737545078018158275907116715590540113698709<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

7×10300-2779

c260

composite cofactor 合成数の残り
10206387592461884790830430043989731085217485201222342164514315982253884774685022291129439975885397706532208617613039277341473728495250653000343360545898649194814661337857146603197451389470757057273092899692747468173813761622990350592688699178905951605864203411<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)
4511e630001000Dmitry DomanovJuly 24, 2018 07:45:46 UTC 2018 年 7 月 24 日 (火) 16 時 45 分 46 秒 (日本時間)
1000Dmitry DomanovJuly 28, 2018 21:42:58 UTC 2018 年 7 月 29 日 (日) 6 時 42 分 58 秒 (日本時間)
1000Dmitry DomanovJuly 29, 2018 21:00:00 UTC 2018 年 7 月 30 日 (月) 6 時 0 分 0 秒 (日本時間)
5043e6280 / 6786Dmitry DomanovJuly 29, 2018 23:54:08 UTC 2018 年 7 月 30 日 (月) 8 時 54 分 8 秒 (日本時間)