Table of contents 目次

10103-313

c99

name 名前KTakahashi
date 日付December 19, 2014 12:56:25 UTC 2014 年 12 月 19 日 (金) 21 時 56 分 25 秒 (日本時間)
composite number 合成数
367147630062047949480486103462202151485112163600983955648566288504607702757278701765980100598450637<99>
prime factors 素因数
17360497186303545192759844530911667963040644944701<50>
21148451344567870876674963440674885860827406006737<50>
factorization results 素因数分解の結果
Number: 33323_103
N=367147630062047949480486103462202151485112163600983955648566288504607702757278701765980100598450637
  ( 99 digits)
SNFS difficulty: 103 digits.
Divisors found:
 r1=17360497186303545192759844530911667963040644944701 (pp50)
 r2=21148451344567870876674963440674885860827406006737 (pp50)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 0.49 hours.
Scaled time: 0.89 units (timescale=1.811).
Factorization parameters were as follows:
n: 367147630062047949480486103462202151485112163600983955648566288504607702757278701765980100598450637
m: 200000000000000000000
c5: 125
c0: -124
skew: 1.00
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, 345001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 42726 x 42951
Total sieving time: 0.47 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,103.000,5,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 0.49 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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10109-313

c108

name 名前KTakahashi
date 日付December 19, 2014 13:03:51 UTC 2014 年 12 月 19 日 (金) 22 時 3 分 51 秒 (日本時間)
composite number 合成数
476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476189<108>
prime factors 素因数
232046399431261214561948025825757171801003<42>
2052134734077343180892176756257554626193913169267128036599298671063<67>
factorization results 素因数分解の結果
Number: 33323_109
N=476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476189
  ( 108 digits)
SNFS difficulty: 109 digits.
Divisors found:
 r1=232046399431261214561948025825757171801003 (pp42)
 r2=2052134734077343180892176756257554626193913169267128036599298671063 (pp67)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.31 hours.
Scaled time: 2.72 units (timescale=2.075).
Factorization parameters were as follows:
n: 476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476189
m: 5000000000000000000000
c5: 16
c0: -155
skew: 1.57
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, 450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 61700 x 61926
Total sieving time: 1.28 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,109.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.31 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10114-313

c97

name 名前KTakahashi
date 日付December 19, 2014 13:11:57 UTC 2014 年 12 月 19 日 (金) 22 時 11 分 57 秒 (日本時間)
composite number 合成数
2519760523651403308826544112032022944060260127066010055801599214085305994306924158024673946392451<97>
prime factors 素因数
281389357203704913065790556191817013<36>
8954711538103001434514243433685894946550556781459960467648727<61>
factorization results 素因数分解の結果
Number: 33323_114
N=2519760523651403308826544112032022944060260127066010055801599214085305994306924158024673946392451
  ( 97 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=281389357203704913065790556191817013 (pp36)
 r2=8954711538103001434514243433685894946550556781459960467648727 (pp61)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.49 hours.
Scaled time: 3.07 units (timescale=2.068).
Factorization parameters were as follows:
n: 2519760523651403308826544112032022944060260127066010055801599214085305994306924158024673946392451
m: 50000000000000000000000
c5: 16
c0: -155
skew: 1.57
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, 500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 83521 x 83749
Total sieving time: 1.44 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 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: 1.49 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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10115-313

c106

name 名前KTakahashi
date 日付December 19, 2014 13:13:57 UTC 2014 年 12 月 19 日 (金) 22 時 13 分 57 秒 (日本時間)
composite number 合成数
3460932311324313355329641653050761943093114482746062040379817926103170729295384904110497426784540220667819<106>
prime factors 素因数
252364350099222410475313656963081781<36>
13714030170915877081846903453225790114626210475547355828544625650901599<71>
factorization results 素因数分解の結果
Number: 33323_115
N=3460932311324313355329641653050761943093114482746062040379817926103170729295384904110497426784540220667819
  ( 106 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=252364350099222410475313656963081781 (pp36)
 r2=13714030170915877081846903453225790114626210475547355828544625650901599 (pp71)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.31 hours.
Scaled time: 2.26 units (timescale=1.728).
Factorization parameters were as follows:
n: 3460932311324313355329641653050761943093114482746062040379817926103170729295384904110497426784540220667819
m: 100000000000000000000000
c5: 1
c0: -31
skew: 1.99
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, 450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 85360 x 85585
Total sieving time: 1.24 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,115.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.31 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10116-313

c112

name 名前KTakahashi
date 日付December 19, 2014 13:18:41 UTC 2014 年 12 月 19 日 (金) 22 時 18 分 41 秒 (日本時間)
composite number 合成数
4798234249796075044383666810613694160548917998176670985077491483134206611966796218991411160692865025670553236409<112>
prime factors 素因数
21363811955637077061005296449543093071607639905817677<53>
224596352924273333876110801793303072306303447433305626706717<60>
factorization results 素因数分解の結果
Number: 33323_116
N=4798234249796075044383666810613694160548917998176670985077491483134206611966796218991411160692865025670553236409
  ( 112 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=21363811955637077061005296449543093071607639905817677 (pp53)
 r2=224596352924273333876110801793303072306303447433305626706717 (pp60)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.46 hours.
Scaled time: 2.53 units (timescale=1.737).
Factorization parameters were as follows:
n: 4798234249796075044383666810613694160548917998176670985077491483134206611966796218991411160692865025670553236409
m: 100000000000000000000000
c5: 10
c0: -31
skew: 1.25
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, 500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 92339 x 92564
Total sieving time: 1.41 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,116.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.46 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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10117-313

c113

name 名前KTakahashi
date 日付December 19, 2014 13:20:58 UTC 2014 年 12 月 19 日 (金) 22 時 20 分 58 秒 (日本時間)
composite number 合成数
25706280044214801676049458882805069278424719158890516953291689159661705354618133209943189121102285288295930695869<113>
prime factors 素因数
26960990899283753981984362039<29>
953461990334254184624780728402761885994686715338815505663632216258476793432453004971<84>
factorization results 素因数分解の結果
Number: 33323_117
N=25706280044214801676049458882805069278424719158890516953291689159661705354618133209943189121102285288295930695869
  ( 113 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=26960990899283753981984362039 (pp29)
 r2=953461990334254184624780728402761885994686715338815505663632216258476793432453004971 (pp84)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.65 hours.
Scaled time: 3.41 units (timescale=2.068).
Factorization parameters were as follows:
n: 25706280044214801676049458882805069278424719158890516953291689159661705354618133209943189121102285288295930695869
m: 100000000000000000000000
c5: 100
c0: -31
skew: 0.79
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 : 90338 x 90565
Total sieving time: 1.60 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,117.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.65 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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10122-313

c111

name 名前KTakahashi
date 日付December 19, 2014 13:41:22 UTC 2014 年 12 月 19 日 (金) 22 時 41 分 22 秒 (日本時間)
composite number 合成数
315072620733785956582366643447681954009730815910908731668221067090921208578597098771371568330421484427305832221<111>
prime factors 素因数
6179960665604317690425112292667421602100571418546061<52>
50982949209916380343946602281406668891448205846383239172561<59>
factorization results 素因数分解の結果
Number: 33323_122
N=315072620733785956582366643447681954009730815910908731668221067090921208578597098771371568330421484427305832221
  ( 111 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=6179960665604317690425112292667421602100571418546061 (pp52)
 r2=50982949209916380343946602281406668891448205846383239172561 (pp59)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.31 hours.
Scaled time: 4.76 units (timescale=2.062).
Factorization parameters were as follows:
n: 315072620733785956582366643447681954009730815910908731668221067090921208578597098771371568330421484427305832221
m: 1000000000000000000000000
c5: 100
c0: -31
skew: 0.79
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, 500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 86219 x 86444
Total sieving time: 2.27 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,122.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.31 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 13:40:54 UTC 2014 年 12 月 19 日 (金) 22 時 40 分 54 秒 (日本時間)

10124-313

c100

name 名前KTakahashi
date 日付December 19, 2014 13:52:32 UTC 2014 年 12 月 19 日 (金) 22 時 52 分 32 秒 (日本時間)
composite number 合成数
7997842560801604879430267434413315017388916593320568804478037220964453450269873502932482419454629429<100>
prime factors 素因数
450027099646856529190083267526683182791<39>
17771913218287609782319756509113578786154141642150414403440419<62>
factorization results 素因数分解の結果
Input number is 7997842560801604879430267434413315017388916593320568804478037220964453450269873502932482419454629429 (100 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=160032320
Step 1 took 2964ms
Step 2 took 1918ms
********** Factor found in step 2: 450027099646856529190083267526683182791
Found probable prime factor of 39 digits: 450027099646856529190083267526683182791
Probable prime cofactor 17771913218287609782319756509113578786154141642150414403440419 has 62 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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10127-313

c106

name 名前KTakahashi
date 日付December 19, 2014 13:57:09 UTC 2014 年 12 月 19 日 (金) 22 時 57 分 9 秒 (日本時間)
composite number 合成数
3804220673286850530474340074304967319496531141409671279020778663677676138349294390337311916357499150358093<106>
prime factors 素因数
4355400838820038616148975997721<31>
172881631748863984399276731309285757<36>
5052295199220927274769413148481439069369<40>
factorization results 素因数分解の結果
Input number is 3804220673286850530474340074304967319496531141409671279020778663677676138349294390337311916357499150358093 (106 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=565434849
Step 1 took 2621ms
Step 2 took 1700ms
********** Factor found in step 2: 4355400838820038616148975997721
Found probable prime factor of 31 digits: 4355400838820038616148975997721
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2761837088
Step 1 took 1825ms
Step 2 took 1326ms
********** Factor found in step 2: 172881631748863984399276731309285757
Found probable prime factor of 36 digits: 172881631748863984399276731309285757
Probable prime cofactor 5052295199220927274769413148481439069369 has 40 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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10128-313

c101

name 名前KTakahashi
date 日付December 19, 2014 13:59:17 UTC 2014 年 12 月 19 日 (金) 22 時 59 分 17 秒 (日本時間)
composite number 合成数
10950694260367946298401419055145058472951373356741137192892533082968017404611972006453642274974973189<101>
prime factors 素因数
731591682259660703468724823866093691291<39>
14968314328758679448811648373546208386129531251572733747533279<62>
factorization results 素因数分解の結果
Number: 33323_128
N=10950694260367946298401419055145058472951373356741137192892533082968017404611972006453642274974973189
  ( 101 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=731591682259660703468724823866093691291 (pp39)
 r2=14968314328758679448811648373546208386129531251572733747533279 (pp62)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.59 hours.
Scaled time: 5.36 units (timescale=2.068).
Factorization parameters were as follows:
n: 10950694260367946298401419055145058472951373356741137192892533082968017404611972006453642274974973189
m: 20000000000000000000000000
c5: 125
c0: -124
skew: 1.00
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, 850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 112889 x 113123
Total sieving time: 2.54 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,128.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 2.59 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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 13:58:24 UTC 2014 年 12 月 19 日 (金) 22 時 58 分 24 秒 (日本時間)

10130-313

c113

name 名前KTakahashi
date 日付December 19, 2014 14:10:44 UTC 2014 年 12 月 19 日 (金) 23 時 10 分 44 秒 (日本時間)
composite number 合成数
63302893790237840792020682549438460000810906590979063287201729055293663158017732099151382494705457859588630386507<113>
prime factors 素因数
4689741342266711951282835799679093746158519363477001<52>
13498163154482501384477117808564084748578085746069293428547507<62>
factorization results 素因数分解の結果
Number: 33323_130
N=63302893790237840792020682549438460000810906590979063287201729055293663158017732099151382494705457859588630386507
  ( 113 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=4689741342266711951282835799679093746158519363477001 (pp52)
 r2=13498163154482501384477117808564084748578085746069293428547507 (pp62)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.42 hours.
Scaled time: 4.20 units (timescale=1.737).
Factorization parameters were as follows:
n: 63302893790237840792020682549438460000810906590979063287201729055293663158017732099151382494705457859588630386507
m: 100000000000000000000000000
c5: 1
c0: -31
skew: 1.99
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, 800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 99585 x 99810
Total sieving time: 2.37 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 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: 2.42 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 14:10:08 UTC 2014 年 12 月 19 日 (金) 23 時 10 分 8 秒 (日本時間)

10137-313

c118

name 名前KTakahashi
date 日付December 19, 2014 15:49:33 UTC 2014 年 12 月 20 日 (土) 0 時 49 分 33 秒 (日本時間)
composite number 合成数
3780888103792386016139451730069120620427840495345788130289044090178241077476280492579702694140265467501463940562451253<118>
prime factors 素因数
918920549968044724018215827960519494614221785689038666293<57>
4114488574582280953521091988451358905154199617043431772478721<61>
factorization results 素因数分解の結果
Number: 33323_137
N=3780888103792386016139451730069120620427840495345788130289044090178241077476280492579702694140265467501463940562451253
  ( 118 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=918920549968044724018215827960519494614221785689038666293 (pp57)
 r2=4114488574582280953521091988451358905154199617043431772478721 (pp61)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 5.32 hours.
Scaled time: 9.24 units (timescale=1.737).
Factorization parameters were as follows:
n: 3780888103792386016139451730069120620427840495345788130289044090178241077476280492579702694140265467501463940562451253
m: 1000000000000000000000000000
c5: 100
c0: -31
skew: 0.79
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, 1475001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 150144 x 150369
Total sieving time: 5.22 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,137.000,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 5.32 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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 15:48:45 UTC 2014 年 12 月 20 日 (土) 0 時 48 分 45 秒 (日本時間)

10138-313

c113

name 名前KTakahashi
date 日付December 19, 2014 15:51:38 UTC 2014 年 12 月 20 日 (土) 0 時 51 分 38 秒 (日本時間)
composite number 合成数
40825918156268424645659828939083948309441674689917643128746333349762691284717540850073605428333679212858946728117<113>
prime factors 素因数
1502309557339691734411560942671<31>
3718587377314645419249073046563027<34>
7308000017398110989189614418629349309997708859001<49>
factorization results 素因数分解の結果
Input number is 40825918156268424645659828939083948309441674689917643128746333349762691284717540850073605428333679212858946728117 (113 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1919693537
Step 1 took 2995ms
Step 2 took 1966ms
********** Factor found in step 2: 1502309557339691734411560942671
Found probable prime factor of 31 digits: 1502309557339691734411560942671
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2281755881
Step 1 took 2122ms
Step 2 took 1420ms
********** Factor found in step 2: 3718587377314645419249073046563027
Found probable prime factor of 34 digits: 3718587377314645419249073046563027
Probable prime cofactor 7308000017398110989189614418629349309997708859001 has 49 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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10140-313

c135

name 名前KTakahashi
date 日付December 19, 2014 15:52:24 UTC 2014 年 12 月 20 日 (土) 0 時 52 分 24 秒 (日本時間)
composite number 合成数
260703848249504010928705318619208138131326956517205150465226017201239907502274641075976922495352953904952591005195827695612614937809097<135>
prime factors 素因数
11234629833834912287478420600755662473278221<44>
933788609999066326205761010608995695967734317<45>
24850784427328326980102583729309624350932494721<47>
factorization results 素因数分解の結果
Number: 33323_140
N=260703848249504010928705318619208138131326956517205150465226017201239907502274641075976922495352953904952591005195827695612614937809097
  ( 135 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=11234629833834912287478420600755662473278221 (pp44)
 r2=933788609999066326205761010608995695967734317 (pp45)
 r3=24850784427328326980102583729309624350932494721 (pp47)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 5.79 hours.
Scaled time: 11.97 units (timescale=2.068).
Factorization parameters were as follows:
n: 260703848249504010928705318619208138131326956517205150465226017201239907502274641075976922495352953904952591005195827695612614937809097
m: 10000000000000000000000000000
c5: 1
c0: -31
skew: 1.99
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, 1550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 150328 x 150557
Total sieving time: 5.70 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,140.000,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 5.79 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 15:51:50 UTC 2014 年 12 月 20 日 (土) 0 時 51 分 50 秒 (日本時間)

10142-313

c130

name 名前KTakahashi
date 日付December 19, 2014 15:53:08 UTC 2014 年 12 月 20 日 (土) 0 時 53 分 8 秒 (日本時間)
composite number 合成数
1731986462846313987612106817147160852902133904202327006905473453291638167955449879558745969570156605967844451056934098519108411553<130>
prime factors 素因数
12542752471259952315738386234661369405927658701979063833608393<62>
138086633441497822529776348943556698794976390196499161829099937572121<69>
factorization results 素因数分解の結果
Number: 33323_142
N=1731986462846313987612106817147160852902133904202327006905473453291638167955449879558745969570156605967844451056934098519108411553
  ( 130 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=12542752471259952315738386234661369405927658701979063833608393 (pp62)
 r2=138086633441497822529776348943556698794976390196499161829099937572121 (pp69)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 6.52 hours.
Scaled time: 11.33 units (timescale=1.737).
Factorization parameters were as follows:
n: 1731986462846313987612106817147160852902133904202327006905473453291638167955449879558745969570156605967844451056934098519108411553
m: 10000000000000000000000000000
c5: 100
c0: -31
skew: 0.79
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved rational special-q in [650000, 1650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 215997 x 216222
Total sieving time: 6.33 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,142.000,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 15:52:36 UTC 2014 年 12 月 20 日 (土) 0 時 52 分 36 秒 (日本時間)

10143-313

c117

name 名前KTakahashi
date 日付December 19, 2014 15:57:31 UTC 2014 年 12 月 20 日 (土) 0 時 57 分 31 秒 (日本時間)
composite number 合成数
166540788411964903195999123056480771311223449059818536705353216149664772859355467023319158725519722995668823678586653<117>
prime factors 素因数
11615325940772637624172787<26>
376364088662962631757921369501841538941<39>
38096145543685939551302188701422928687699613237493659<53>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [P-1]
Input number is 166540788411964903195999123056480771311223449059818536705353216149664772859355467023319158725519722995668823678586653 (117 digits)
Using B1=4000000, B2=1685649330, polynomial x^1, x0=2270268000
Step 1 took 1045ms
Step 2 took 811ms
********** Factor found in step 2: 11615325940772637624172787
Found probable prime factor of 26 digits: 11615325940772637624172787
Composite cofactor 14338021099120943707123816188865128273526791643892529062363545231327016642333484154289075119 has 92 digits

Msieve v. 1.51 (SVN Official Release)
Thu Dec 11 12:12:43 2014
random seeds: 63f697a8 692938b4
factoring 14338021099120943707123816188865128273526791643892529062363545231327016642333484154289075119 (92 digits)
searching for 15-digit factors
commencing quadratic sieve (92-digit input)
using multiplier of 1
using VC8 64kb sieve core
sieve interval: 18 blocks of size 65536
processing polynomials in batches of 6
using a sieve bound of 1750673 (65882 primes)
using large prime bound of 176817973 (27 bits)
using double large prime bound of 700724852913729 (42-50 bits)
using trial factoring cutoff of 50 bits
polynomial 'A' values have 12 factors
66134 relations (16980 full + 49154 combined from 800416 partial), need 65978
begin with 817396 relations
reduce to 165693 relations in 12 passes
attempting to read 165693 relations
recovered 165693 relations
recovered 145572 polynomials
attempting to build 66134 cycles
found 66134 cycles in 6 passes
distribution of cycle lengths:
   length 1 : 16980
   length 2 : 12323
   length 3 : 11358
   length 4 : 8887
   length 5 : 6588
   length 6 : 4284
   length 7 : 2599
   length 9+: 3115
largest cycle: 21 relations
matrix is 65882 x 66134 (17.4 MB) with weight 4043242 (61.14/col)
sparse part has weight 4043242 (61.14/col)
filtering completed in 3 passes
matrix is 62202 x 62266 (16.5 MB) with weight 3827193 (61.47/col)
sparse part has weight 3827193 (61.47/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 62154 x 62266 (10.5 MB) with weight 2965813 (47.63/col)
sparse part has weight 2134509 (34.28/col)
using block size 24861 for processor cache size 1024 kB
commencing Lanczos iteration
memory use: 6.5 MB
linear algebra at 77.4%, ETA 0h 0m
lanczos halted after 984 iterations (dim = 62154)
recovered 18 nontrivial dependencies
prp39 factor: 376364088662962631757921369501841538941
prp53 factor: 38096145543685939551302188701422928687699613237493659
elapsed time 01:41:56

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 15:55:31 UTC 2014 年 12 月 20 日 (土) 0 時 55 分 31 秒 (日本時間)

10145-313

c108

name 名前KTakahashi
date 日付December 19, 2014 15:58:18 UTC 2014 年 12 月 20 日 (土) 0 時 58 分 18 秒 (日本時間)
composite number 合成数
237000477649138508410828482873453990933866810137060477415325640660199634410797582744697202641988926624884003<108>
prime factors 素因数
7256869102558487838053390967163867937899805934751<49>
32658778090069369152834994580648333692884893985427051392253<59>
factorization results 素因数分解の結果
Number: 33323_145
N=237000477649138508410828482873453990933866810137060477415325640660199634410797582744697202641988926624884003
  ( 108 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=7256869102558487838053390967163867937899805934751 (pp49)
 r2=32658778090069369152834994580648333692884893985427051392253 (pp59)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 7.17 hours.
Scaled time: 14.89 units (timescale=2.075).
Factorization parameters were as follows:
n: 237000477649138508410828482873453990933866810137060477415325640660199634410797582744697202641988926624884003
m: 100000000000000000000000000000
c5: 1
c0: -31
skew: 1.99
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved rational special-q in [650000, 1750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 203289 x 203514
Total sieving time: 7.01 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,145.000,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 7.17 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 15:57:43 UTC 2014 年 12 月 20 日 (土) 0 時 57 分 43 秒 (日本時間)

10147-313

c127

name 名前Dmitry Domanov
date 日付December 22, 2014 09:44:17 UTC 2014 年 12 月 22 日 (月) 18 時 44 分 17 秒 (日本時間)
composite number 合成数
5624304904631829613579593480377430721974200058931400449831690826219377352391073753235430267993060838842278691996332643975021563<127>
prime factors 素因数
5708125195134380661869178249015563137<37>
985315618064228923884715873596695008637356778548766681613779715088292476610979215354783099<90>
factorization results 素因数分解の結果
N=5624304904631829613579593480377430721974200058931400449831690826219377352391073753235430267993060838842278691996332643975021563
  ( 127 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=5708125195134380661869178249015563137 (pp37)
 r2=985315618064228923884715873596695008637356778548766681613779715088292476610979215354783099 (pp90)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 7.43 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 5624304904631829613579593480377430721974200058931400449831690826219377352391073753235430267993060838842278691996332643975021563
m: 100000000000000000000000000000
deg: 5
c5: 100
c0: -31
skew: 0.79
# Murphy_E = 1.833e-09
type: snfs
lss: 1
rlim: 1970000
alim: 1970000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1970000/1970000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [985000, 2285001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 280755 x 280981
Total sieving time: 7.27 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,147.000,5,0,0,0,0,0,0,0,0,1970000,1970000,26,26,49,49,2.3,2.3,100000
total time: 7.43 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 15:46:19 UTC 2014 年 12 月 20 日 (土) 0 時 46 分 19 秒 (日本時間)

10150-313

c145

name 名前Cyp
date 日付December 23, 2014 06:03:38 UTC 2014 年 12 月 23 日 (火) 15 時 3 分 38 秒 (日本時間)
composite number 合成数
5634532925393149534869307008795505896538706423930988240729784704496920727756272643779193923719693256027541596939321714926441172658992432822281197<145>
prime factors 素因数
5804053856138972471114971830583610546233287040253<49>
970792667513496635432436818763058166468277061888477688104261141376527542627286150928351176969649<96>
factorization results 素因数分解の結果
12/23/14 04:29:22 v1.34.3, 
12/23/14 04:29:22 v1.34.3, ****************************
12/23/14 04:29:22 v1.34.3, Starting factorization of 5634532925393149534869307008795505896538706423930988240729784704496920727756272643779193923719693256027541596939321714926441172658992432822281197
12/23/14 04:29:22 v1.34.3, using pretesting plan: none
12/23/14 04:29:22 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/23/14 04:29:22 v1.34.3, ****************************
12/23/14 04:29:22 v1.34.3, nfs: commencing nfs on c145: 5634532925393149534869307008795505896538706423930988240729784704496920727756272643779193923719693256027541596939321714926441172658992432822281197
12/23/14 04:29:22 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/23/14 04:29:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 04:36:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
[16 lines snipped]
12/23/14 06:44:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 06:50:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 06:56:17 v1.34.3, nfs: commencing msieve filtering
12/23/14 06:58:31 v1.34.3, nfs: commencing msieve linear algebra
12/23/14 07:03:00 v1.34.3, nfs: commencing msieve sqrt
12/23/14 07:03:37 v1.34.3, prp96 = 970792667513496635432436818763058166468277061888477688104261141376527542627286150928351176969649
12/23/14 07:03:37 v1.34.3, prp49 = 5804053856138972471114971830583610546233287040253
12/23/14 07:03:37 v1.34.3, NFS elapsed time = 9255.2662 seconds.
12/23/14 07:03:37 v1.34.3, 
12/23/14 07:03:37 v1.34.3, 
12/23/14 07:03:37 v1.34.3, Total factoring time = 9255.2671 seconds
--
Tue Dec 23 06:56:17 2014  
Tue Dec 23 06:56:17 2014  commencing relation filtering
Tue Dec 23 06:56:17 2014  estimated available RAM is 15987.3 MB
Tue Dec 23 06:56:17 2014  commencing duplicate removal, pass 1
Tue Dec 23 06:56:45 2014  found 1222843 hash collisions in 10254769 relations
Tue Dec 23 06:56:52 2014  added 351044 free relations
Tue Dec 23 06:56:52 2014  commencing duplicate removal, pass 2
Tue Dec 23 06:57:00 2014  found 698282 duplicates and 9907531 unique relations
Tue Dec 23 06:57:00 2014  memory use: 41.3 MB
Tue Dec 23 06:57:00 2014  reading ideals above 100000
Tue Dec 23 06:57:00 2014  commencing singleton removal, initial pass
Tue Dec 23 06:58:05 2014  memory use: 188.2 MB
Tue Dec 23 06:58:05 2014  reading all ideals from disk
Tue Dec 23 06:58:05 2014  memory use: 330.1 MB
Tue Dec 23 06:58:06 2014  keeping 9228707 ideals with weight <= 200, target excess is 85843
Tue Dec 23 06:58:07 2014  commencing in-memory singleton removal
Tue Dec 23 06:58:07 2014  begin with 9907531 relations and 9228707 unique ideals
Tue Dec 23 06:58:12 2014  reduce to 5356726 relations and 3632141 ideals in 9 passes
Tue Dec 23 06:58:12 2014  max relations containing the same ideal: 139
Tue Dec 23 06:58:13 2014  removing 1130188 relations and 730188 ideals in 400000 cliques
Tue Dec 23 06:58:14 2014  commencing in-memory singleton removal
Tue Dec 23 06:58:14 2014  begin with 4226538 relations and 3632141 unique ideals
Tue Dec 23 06:58:15 2014  reduce to 4098499 relations and 2763153 ideals in 6 passes
Tue Dec 23 06:58:15 2014  max relations containing the same ideal: 116
Tue Dec 23 06:58:17 2014  removing 979724 relations and 579724 ideals in 400000 cliques
Tue Dec 23 06:58:17 2014  commencing in-memory singleton removal
Tue Dec 23 06:58:17 2014  begin with 3118775 relations and 2763153 unique ideals
Tue Dec 23 06:58:19 2014  reduce to 3029531 relations and 2086746 ideals in 6 passes
Tue Dec 23 06:58:19 2014  max relations containing the same ideal: 95
Tue Dec 23 06:58:20 2014  removing 936941 relations and 536941 ideals in 400000 cliques
Tue Dec 23 06:58:20 2014  commencing in-memory singleton removal
Tue Dec 23 06:58:20 2014  begin with 2092590 relations and 2086746 unique ideals
Tue Dec 23 06:58:21 2014  reduce to 2005127 relations and 1454178 ideals in 7 passes
Tue Dec 23 06:58:21 2014  max relations containing the same ideal: 66
Tue Dec 23 06:58:21 2014  removing 823582 relations and 461225 ideals in 362357 cliques
Tue Dec 23 06:58:22 2014  commencing in-memory singleton removal
Tue Dec 23 06:58:22 2014  begin with 1181545 relations and 1454178 unique ideals
Tue Dec 23 06:58:22 2014  reduce to 1092609 relations and 895188 ideals in 7 passes
Tue Dec 23 06:58:22 2014  max relations containing the same ideal: 45
Tue Dec 23 06:58:22 2014  removing 258586 relations and 160743 ideals in 97843 cliques
Tue Dec 23 06:58:22 2014  commencing in-memory singleton removal
Tue Dec 23 06:58:22 2014  begin with 834023 relations and 895188 unique ideals
Tue Dec 23 06:58:23 2014  reduce to 778487 relations and 674234 ideals in 7 passes
Tue Dec 23 06:58:23 2014  max relations containing the same ideal: 36
Tue Dec 23 06:58:23 2014  relations with 0 large ideals: 2401
Tue Dec 23 06:58:23 2014  relations with 1 large ideals: 13044
Tue Dec 23 06:58:23 2014  relations with 2 large ideals: 58928
Tue Dec 23 06:58:23 2014  relations with 3 large ideals: 144434
Tue Dec 23 06:58:23 2014  relations with 4 large ideals: 208701
Tue Dec 23 06:58:23 2014  relations with 5 large ideals: 189274
Tue Dec 23 06:58:23 2014  relations with 6 large ideals: 113351
Tue Dec 23 06:58:23 2014  relations with 7+ large ideals: 48354
Tue Dec 23 06:58:23 2014  commencing 2-way merge
Tue Dec 23 06:58:23 2014  reduce to 571121 relation sets and 466868 unique ideals
Tue Dec 23 06:58:23 2014  commencing full merge
Tue Dec 23 06:58:29 2014  memory use: 49.7 MB
Tue Dec 23 06:58:29 2014  found 266010 cycles, need 249068
Tue Dec 23 06:58:29 2014  weight of 249068 cycles is about 17767838 (71.34/cycle)
Tue Dec 23 06:58:29 2014  distribution of cycle lengths:
Tue Dec 23 06:58:29 2014  1 relations: 20721
Tue Dec 23 06:58:29 2014  2 relations: 23775
Tue Dec 23 06:58:29 2014  3 relations: 26335
Tue Dec 23 06:58:29 2014  4 relations: 25910
Tue Dec 23 06:58:29 2014  5 relations: 25136
Tue Dec 23 06:58:29 2014  6 relations: 23179
Tue Dec 23 06:58:29 2014  7 relations: 20527
Tue Dec 23 06:58:29 2014  8 relations: 17920
Tue Dec 23 06:58:29 2014  9 relations: 15351
Tue Dec 23 06:58:29 2014  10+ relations: 50214
Tue Dec 23 06:58:29 2014  heaviest cycle: 18 relations
Tue Dec 23 06:58:29 2014  commencing cycle optimization
Tue Dec 23 06:58:29 2014  start with 1545114 relations
Tue Dec 23 06:58:31 2014  pruned 75458 relations
Tue Dec 23 06:58:31 2014  memory use: 45.5 MB
Tue Dec 23 06:58:31 2014  distribution of cycle lengths:
Tue Dec 23 06:58:31 2014  1 relations: 20721
Tue Dec 23 06:58:31 2014  2 relations: 24641
Tue Dec 23 06:58:31 2014  3 relations: 28021
Tue Dec 23 06:58:31 2014  4 relations: 27521
Tue Dec 23 06:58:31 2014  5 relations: 26968
Tue Dec 23 06:58:31 2014  6 relations: 24403
Tue Dec 23 06:58:31 2014  7 relations: 21500
Tue Dec 23 06:58:31 2014  8 relations: 18139
Tue Dec 23 06:58:31 2014  9 relations: 15320
Tue Dec 23 06:58:31 2014  10+ relations: 41834
Tue Dec 23 06:58:31 2014  heaviest cycle: 18 relations
Tue Dec 23 06:58:31 2014  RelProcTime: 134
Tue Dec 23 06:58:31 2014  
Tue Dec 23 06:58:31 2014  commencing linear algebra
Tue Dec 23 06:58:31 2014  read 249068 cycles
Tue Dec 23 06:58:32 2014  cycles contain 708060 unique relations
Tue Dec 23 06:58:44 2014  read 708060 relations
Tue Dec 23 06:58:44 2014  using 20 quadratic characters above 134035614
Tue Dec 23 06:58:48 2014  building initial matrix
Tue Dec 23 06:58:54 2014  memory use: 87.9 MB
Tue Dec 23 06:58:54 2014  read 249068 cycles
Tue Dec 23 06:58:54 2014  matrix is 248870 x 249068 (73.6 MB) with weight 21938148 (88.08/col)
Tue Dec 23 06:58:54 2014  sparse part has weight 16542324 (66.42/col)
Tue Dec 23 06:58:56 2014  filtering completed in 2 passes
Tue Dec 23 06:58:56 2014  matrix is 248390 x 248588 (73.5 MB) with weight 21909561 (88.14/col)
Tue Dec 23 06:58:56 2014  sparse part has weight 16524461 (66.47/col)
Tue Dec 23 06:58:56 2014  matrix starts at (0, 0)
Tue Dec 23 06:58:56 2014  matrix is 248390 x 248588 (73.5 MB) with weight 21909561 (88.14/col)
Tue Dec 23 06:58:56 2014  sparse part has weight 16524461 (66.47/col)
Tue Dec 23 06:58:56 2014  saving the first 48 matrix rows for later
Tue Dec 23 06:58:56 2014  matrix includes 64 packed rows
Tue Dec 23 06:58:56 2014  matrix is 248342 x 248588 (69.2 MB) with weight 17204582 (69.21/col)
Tue Dec 23 06:58:56 2014  sparse part has weight 15649170 (62.95/col)
Tue Dec 23 06:58:56 2014  using block size 65536 for processor cache size 8192 kB
Tue Dec 23 06:58:57 2014  commencing Lanczos iteration (8 threads)
Tue Dec 23 06:58:57 2014  memory use: 66.4 MB
Tue Dec 23 06:59:11 2014  linear algebra at 4.9%, ETA 0h 4m
Tue Dec 23 07:02:59 2014  lanczos halted after 3930 iterations (dim = 248339)
Tue Dec 23 07:03:00 2014  recovered 33 nontrivial dependencies
Tue Dec 23 07:03:00 2014  BLanczosTime: 269
Tue Dec 23 07:03:00 2014  
Tue Dec 23 07:03:00 2014  commencing square root phase
Tue Dec 23 07:03:00 2014  reading relations for dependency 1
Tue Dec 23 07:03:00 2014  read 124590 cycles
Tue Dec 23 07:03:00 2014  cycles contain 354642 unique relations
Tue Dec 23 07:03:07 2014  read 354642 relations
Tue Dec 23 07:03:08 2014  multiplying 354642 relations
Tue Dec 23 07:03:13 2014  multiply complete, coefficients have about 7.60 million bits
Tue Dec 23 07:03:13 2014  initial square root is modulo 552794461
Tue Dec 23 07:03:19 2014  GCD is N, no factor found
Tue Dec 23 07:03:19 2014  reading relations for dependency 2
Tue Dec 23 07:03:19 2014  read 124390 cycles
Tue Dec 23 07:03:19 2014  cycles contain 354140 unique relations
Tue Dec 23 07:03:26 2014  read 354140 relations
Tue Dec 23 07:03:27 2014  multiplying 354140 relations
Tue Dec 23 07:03:32 2014  multiply complete, coefficients have about 7.59 million bits
Tue Dec 23 07:03:32 2014  initial square root is modulo 536250251
Tue Dec 23 07:03:37 2014  sqrtTime: 37
--
n: 5634532925393149534869307008795505896538706423930988240729784704496920727756272643779193923719693256027541596939321714926441172658992432822281197
m: 1000000000000000000000000000000
deg: 5
c5: 1
c0: -31
skew: 1.99
# Murphy_E = 1.785e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
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
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 15:46:33 UTC 2014 年 12 月 20 日 (土) 0 時 46 分 33 秒 (日本時間)

10152-313

c125

name 名前Serge Batalov
date 日付December 21, 2014 01:53:40 UTC 2014 年 12 月 21 日 (日) 10 時 53 分 40 秒 (日本時間)
composite number 合成数
43246993649505181698877215920678244604855317831167657843208063753276950316239929322433034351939708554805770959609379313731431<125>
prime factors 素因数
25622332128475238587720006522517<32>
1687863283976514845976621659788974935516641018021303542890362728010824688398279193909686309643<94>
factorization results 素因数分解の結果
Input number is 43246993649505181698877215920678244604855317831167657843208063753276950316239929322433034351939708554805770959609379313731431 (125 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3953650927
Step 1 took 7568ms
Step 2 took 2295ms
********** Factor found in step 2: 25622332128475238587720006522517
Found probable prime factor of 32 digits: 25622332128475238587720006522517
Probable prime cofactor 1687863283976514845976621659788974935516641018021303542890362728010824688398279193909686309643 has 94 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:20:42 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 42 秒 (日本時間)

10157-313

c148

name 名前Cyp
date 日付December 26, 2014 07:52:27 UTC 2014 年 12 月 26 日 (金) 16 時 52 分 27 秒 (日本時間)
composite number 合成数
3320383112032505028603179668529720017257345904945293505642051596497692698813260576979048685049976399430722042041245269748599719484007138495637018417<148>
prime factors 素因数
2653941174535399523338856218889072689296210295463423087866797728047<67>
1251114057798878385544470991333852179369660704953182691806100440850328375038391711<82>
factorization results 素因数分解の結果
12/26/14 06:24:51 v1.34.3, 
12/26/14 06:24:51 v1.34.3, ****************************
12/26/14 06:24:51 v1.34.3, Starting factorization of 3320383112032505028603179668529720017257345904945293505642051596497692698813260576979048685049976399430722042041245269748599719484007138495637018417
12/26/14 06:24:51 v1.34.3, using pretesting plan: none
12/26/14 06:24:51 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/26/14 06:24:51 v1.34.3, ****************************
12/26/14 06:24:51 v1.34.3, nfs: commencing nfs on c148: 3320383112032505028603179668529720017257345904945293505642051596497692698813260576979048685049976399430722042041245269748599719484007138495637018417
12/26/14 06:24:51 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/26/14 06:24:51 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/14 06:29:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
[28 lines snipped]
12/26/14 08:37:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/14 08:41:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/14 08:46:11 v1.34.3, nfs: commencing msieve filtering
12/26/14 08:47:54 v1.34.3, nfs: commencing msieve linear algebra
12/26/14 08:51:29 v1.34.3, nfs: commencing msieve sqrt
12/26/14 08:52:26 v1.34.3, prp67 = 2653941174535399523338856218889072689296210295463423087866797728047
12/26/14 08:52:26 v1.34.3, prp82 = 1251114057798878385544470991333852179369660704953182691806100440850328375038391711
12/26/14 08:52:26 v1.34.3, NFS elapsed time = 8854.5957 seconds.
12/26/14 08:52:26 v1.34.3, 
12/26/14 08:52:26 v1.34.3, 
12/26/14 08:52:26 v1.34.3, Total factoring time = 8854.5965 seconds
--
Fri Dec 26 08:46:11 2014  
Fri Dec 26 08:46:11 2014  commencing relation filtering
Fri Dec 26 08:46:11 2014  estimated available RAM is 15987.3 MB
Fri Dec 26 08:46:11 2014  commencing duplicate removal, pass 1
Fri Dec 26 08:46:38 2014  found 1275706 hash collisions in 10166756 relations
Fri Dec 26 08:46:46 2014  added 359707 free relations
Fri Dec 26 08:46:46 2014  commencing duplicate removal, pass 2
Fri Dec 26 08:46:54 2014  found 785287 duplicates and 9741176 unique relations
Fri Dec 26 08:46:54 2014  memory use: 41.3 MB
Fri Dec 26 08:46:54 2014  reading ideals above 100000
Fri Dec 26 08:46:54 2014  commencing singleton removal, initial pass
Fri Dec 26 08:47:35 2014  memory use: 188.2 MB
Fri Dec 26 08:47:35 2014  reading all ideals from disk
Fri Dec 26 08:47:35 2014  memory use: 335.6 MB
Fri Dec 26 08:47:36 2014  keeping 9783587 ideals with weight <= 200, target excess is 51734
Fri Dec 26 08:47:36 2014  commencing in-memory singleton removal
Fri Dec 26 08:47:36 2014  begin with 9741176 relations and 9783587 unique ideals
Fri Dec 26 08:47:39 2014  reduce to 4842076 relations and 3792702 ideals in 11 passes
Fri Dec 26 08:47:39 2014  max relations containing the same ideal: 127
Fri Dec 26 08:47:40 2014  removing 1290106 relations and 890106 ideals in 400000 cliques
Fri Dec 26 08:47:40 2014  commencing in-memory singleton removal
Fri Dec 26 08:47:40 2014  begin with 3551970 relations and 3792702 unique ideals
Fri Dec 26 08:47:41 2014  reduce to 3330492 relations and 2659094 ideals in 7 passes
Fri Dec 26 08:47:41 2014  max relations containing the same ideal: 97
Fri Dec 26 08:47:42 2014  removing 1094024 relations and 694024 ideals in 400000 cliques
Fri Dec 26 08:47:42 2014  commencing in-memory singleton removal
Fri Dec 26 08:47:42 2014  begin with 2236468 relations and 2659094 unique ideals
Fri Dec 26 08:47:43 2014  reduce to 2044390 relations and 1751314 ideals in 9 passes
Fri Dec 26 08:47:43 2014  max relations containing the same ideal: 70
Fri Dec 26 08:47:44 2014  removing 662370 relations and 429306 ideals in 233064 cliques
Fri Dec 26 08:47:44 2014  commencing in-memory singleton removal
Fri Dec 26 08:47:44 2014  begin with 1382020 relations and 1751314 unique ideals
Fri Dec 26 08:47:44 2014  reduce to 1247528 relations and 1172675 ideals in 8 passes
Fri Dec 26 08:47:44 2014  max relations containing the same ideal: 50
Fri Dec 26 08:47:44 2014  removing 78292 relations and 63451 ideals in 14841 cliques
Fri Dec 26 08:47:44 2014  commencing in-memory singleton removal
Fri Dec 26 08:47:44 2014  begin with 1169236 relations and 1172675 unique ideals
Fri Dec 26 08:47:44 2014  reduce to 1165109 relations and 1105041 ideals in 6 passes
Fri Dec 26 08:47:44 2014  max relations containing the same ideal: 49
Fri Dec 26 08:47:45 2014  relations with 0 large ideals: 1202
Fri Dec 26 08:47:45 2014  relations with 1 large ideals: 728
Fri Dec 26 08:47:45 2014  relations with 2 large ideals: 10630
Fri Dec 26 08:47:45 2014  relations with 3 large ideals: 63357
Fri Dec 26 08:47:45 2014  relations with 4 large ideals: 189715
Fri Dec 26 08:47:45 2014  relations with 5 large ideals: 317621
Fri Dec 26 08:47:45 2014  relations with 6 large ideals: 324479
Fri Dec 26 08:47:45 2014  relations with 7+ large ideals: 257377
Fri Dec 26 08:47:45 2014  commencing 2-way merge
Fri Dec 26 08:47:45 2014  reduce to 727362 relation sets and 667294 unique ideals
Fri Dec 26 08:47:45 2014  commencing full merge
Fri Dec 26 08:47:51 2014  memory use: 85.2 MB
Fri Dec 26 08:47:51 2014  found 373460 cycles, need 365494
Fri Dec 26 08:47:51 2014  weight of 365494 cycles is about 25939419 (70.97/cycle)
Fri Dec 26 08:47:51 2014  distribution of cycle lengths:
Fri Dec 26 08:47:51 2014  1 relations: 32408
Fri Dec 26 08:47:51 2014  2 relations: 35482
Fri Dec 26 08:47:51 2014  3 relations: 38330
Fri Dec 26 08:47:51 2014  4 relations: 38977
Fri Dec 26 08:47:51 2014  5 relations: 38194
Fri Dec 26 08:47:51 2014  6 relations: 35436
Fri Dec 26 08:47:51 2014  7 relations: 31316
Fri Dec 26 08:47:51 2014  8 relations: 26393
Fri Dec 26 08:47:51 2014  9 relations: 21827
Fri Dec 26 08:47:51 2014  10+ relations: 67131
Fri Dec 26 08:47:51 2014  heaviest cycle: 19 relations
Fri Dec 26 08:47:51 2014  commencing cycle optimization
Fri Dec 26 08:47:51 2014  start with 2217569 relations
Fri Dec 26 08:47:53 2014  pruned 69044 relations
Fri Dec 26 08:47:53 2014  memory use: 70.1 MB
Fri Dec 26 08:47:53 2014  distribution of cycle lengths:
Fri Dec 26 08:47:53 2014  1 relations: 32408
Fri Dec 26 08:47:53 2014  2 relations: 36276
Fri Dec 26 08:47:53 2014  3 relations: 39725
Fri Dec 26 08:47:53 2014  4 relations: 40311
Fri Dec 26 08:47:53 2014  5 relations: 39823
Fri Dec 26 08:47:53 2014  6 relations: 36583
Fri Dec 26 08:47:53 2014  7 relations: 32075
Fri Dec 26 08:47:53 2014  8 relations: 26656
Fri Dec 26 08:47:53 2014  9 relations: 21856
Fri Dec 26 08:47:53 2014  10+ relations: 59781
Fri Dec 26 08:47:53 2014  heaviest cycle: 19 relations
Fri Dec 26 08:47:54 2014  RelProcTime: 103
Fri Dec 26 08:47:54 2014  
Fri Dec 26 08:47:54 2014  commencing linear algebra
Fri Dec 26 08:47:54 2014  read 365494 cycles
Fri Dec 26 08:47:54 2014  cycles contain 1130182 unique relations
Fri Dec 26 08:48:03 2014  read 1130182 relations
Fri Dec 26 08:48:03 2014  using 20 quadratic characters above 134216730
Fri Dec 26 08:48:07 2014  building initial matrix
Fri Dec 26 08:48:12 2014  memory use: 139.9 MB
Fri Dec 26 08:48:12 2014  read 365494 cycles
Fri Dec 26 08:48:12 2014  matrix is 365317 x 365494 (109.6 MB) with weight 32293159 (88.35/col)
Fri Dec 26 08:48:12 2014  sparse part has weight 24700692 (67.58/col)
Fri Dec 26 08:48:14 2014  filtering completed in 2 passes
Fri Dec 26 08:48:14 2014  matrix is 365213 x 365390 (109.6 MB) with weight 32289096 (88.37/col)
Fri Dec 26 08:48:14 2014  sparse part has weight 24698746 (67.60/col)
Fri Dec 26 08:48:14 2014  matrix starts at (0, 0)
Fri Dec 26 08:48:14 2014  matrix is 365213 x 365390 (109.6 MB) with weight 32289096 (88.37/col)
Fri Dec 26 08:48:14 2014  sparse part has weight 24698746 (67.60/col)
Fri Dec 26 08:48:14 2014  saving the first 48 matrix rows for later
Fri Dec 26 08:48:14 2014  matrix includes 64 packed rows
Fri Dec 26 08:48:14 2014  matrix is 365165 x 365390 (103.2 MB) with weight 25676775 (70.27/col)
Fri Dec 26 08:48:14 2014  sparse part has weight 23401091 (64.04/col)
Fri Dec 26 08:48:14 2014  using block size 65536 for processor cache size 8192 kB
Fri Dec 26 08:48:15 2014  commencing Lanczos iteration (8 threads)
Fri Dec 26 08:48:15 2014  memory use: 99.2 MB
Fri Dec 26 08:48:22 2014  linear algebra at 3.3%, ETA 0h 3m
Fri Dec 26 08:51:28 2014  lanczos halted after 5775 iterations (dim = 365164)
Fri Dec 26 08:51:29 2014  recovered 39 nontrivial dependencies
Fri Dec 26 08:51:29 2014  BLanczosTime: 215
Fri Dec 26 08:51:29 2014  
Fri Dec 26 08:51:29 2014  commencing square root phase
Fri Dec 26 08:51:29 2014  reading relations for dependency 1
Fri Dec 26 08:51:29 2014  read 182232 cycles
Fri Dec 26 08:51:29 2014  cycles contain 564346 unique relations
Fri Dec 26 08:51:36 2014  read 564346 relations
Fri Dec 26 08:51:37 2014  multiplying 564346 relations
Fri Dec 26 08:51:46 2014  multiply complete, coefficients have about 15.64 million bits
Fri Dec 26 08:51:46 2014  initial square root is modulo 962029121
Fri Dec 26 08:51:57 2014  GCD is N, no factor found
Fri Dec 26 08:51:57 2014  reading relations for dependency 2
Fri Dec 26 08:51:57 2014  read 182369 cycles
Fri Dec 26 08:51:57 2014  cycles contain 563804 unique relations
Fri Dec 26 08:52:05 2014  read 563804 relations
Fri Dec 26 08:52:06 2014  multiplying 563804 relations
Fri Dec 26 08:52:15 2014  multiply complete, coefficients have about 15.62 million bits
Fri Dec 26 08:52:15 2014  initial square root is modulo 944295091
Fri Dec 26 08:52:26 2014  sqrtTime: 57
--
n: 3320383112032505028603179668529720017257345904945293505642051596497692698813260576979048685049976399430722042041245269748599719484007138495637018417
m: 10000000000000000000000000000000
deg: 5
c5: 100
c0: -31
skew: 0.79
# Murphy_E = 7.637e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:20:42 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 42 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:00 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 0 秒 (日本時間)

10158-313

c132

name 名前Serge Batalov
date 日付December 21, 2014 00:42:28 UTC 2014 年 12 月 21 日 (日) 9 時 42 分 28 秒 (日本時間)
composite number 合成数
385464715364140153196926456313479190999549368922208675181171463059803602212985355027472440202292671660838163096997320843309681006017<132>
prime factors 素因数
1463252436327761115359756514172301128187<40>
263430086152132682552654707577660789386086197868786005198950808868494758215809361248954943091<93>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1669702641
Step 2 took 6499ms
********** Factor found in step 2: 1463252436327761115359756514172301128187
Found probable prime factor of 40 digits: 1463252436327761115359756514172301128187
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:20:43 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 43 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:01 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 1 秒 (日本時間)

10159-313

c159

name 名前Serge Batalov
date 日付December 20, 2014 09:39:39 UTC 2014 年 12 月 20 日 (土) 18 時 39 分 39 秒 (日本時間)
composite number 合成数
333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323<159>
prime factors 素因数
57740768020239559386311212184979776283197494620323853253423858993<65>
5772928638851700090209357741397726416650185137577671875023303634122952008149360496996412330811<94>
factorization results 素因数分解の結果
Divisors found:
 r1=57740768020239559386311212184979776283197494620323853253423858993 (pp65)
 r2=5772928638851700090209357741397726416650185137577671875023303634122952008149360496996412330811 (pp94)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 13.75 hours.
Scaled time: 32.99 units (timescale=2.400).
Factorization parameters were as follows:
# res 6153 33323_159
n: 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323
m: 50000000000000000000000000000000
deg: 5
c5: 16
c0: -155
skew: 1.57
# Murphy_E = 6.33e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 3000001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 460397 x 460621
Total sieving time: 13.46 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,159.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 13.75 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:06 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 6 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:28 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 28 秒 (日本時間)

10160-313

c148

name 名前Serge Batalov
date 日付December 20, 2014 23:10:51 UTC 2014 年 12 月 21 日 (日) 8 時 10 分 51 秒 (日本時間)
composite number 合成数
2057651720329313712311074732906548530665714088850702563755749902942872356138817931083122366953409593551766095620498420569478485244783668680935728717<148>
prime factors 素因数
186930743455997794699846497517478838597523<42>
6522556133146290303301573106105083180810319<43>
1687614736566436793435364626685176427505530851574799421824344241<64>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=828621967
Step 1 took 9182ms
Step 2 took 7360ms
********** Factor found in step 2: 6522556133146290303301573106105083180810319
Found probable prime factor of 43 digits: 6522556133146290303301573106105083180810319
--
Input number is 2057651720329313712311074732906548530665714088850702563755749902942872356138817931083122366953409593551766095620498420569478485244783668680935728717 (148 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4280971035
Step 1 took 9219ms
Step 2 took 7347ms
********** Factor found in step 2: 186930743455997794699846497517478838597523
Found probable prime factor of 42 digits: 186930743455997794699846497517478838597523

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:20:43 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 43 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:01 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 1 秒 (日本時間)

10163-313

c159

name 名前Cyp
date 日付December 28, 2014 20:11:55 UTC 2014 年 12 月 29 日 (月) 5 時 11 分 55 秒 (日本時間)
composite number 合成数
651423360041691095042668230082730766725294769070418865220506807374112435671943195883004364536512279330336785877141554296137059474952771806396977395609406553319<159>
prime factors 素因数
2395402630254751583592665483070989832745994231505876655632607<61>
271947334370427772703079001088405597022995901298425323793895856089277040710049152690028121034657017<99>
factorization results 素因数分解の結果
12/28/14 16:35:31 v1.34.3, 
12/28/14 16:35:31 v1.34.3, ****************************
12/28/14 16:35:31 v1.34.3, Starting factorization of 651423360041691095042668230082730766725294769070418865220506807374112435671943195883004364536512279330336785877141554296137059474952771806396977395609406553319
12/28/14 16:35:31 v1.34.3, using pretesting plan: none
12/28/14 16:35:31 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/28/14 16:35:31 v1.34.3, ****************************
12/28/14 16:35:31 v1.34.3, nfs: commencing nfs on c159: 651423360041691095042668230082730766725294769070418865220506807374112435671943195883004364536512279330336785877141554296137059474952771806396977395609406553319
12/28/14 16:35:31 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/28/14 16:35:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/28/14 16:40:37 v1.34.3, nfs: commencing lattice sieving with 8 threads
[40 lines snipped]
12/28/14 20:12:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/28/14 20:17:13 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/28/14 20:22:29 v1.34.3, nfs: commencing msieve filtering
12/28/14 20:25:07 v1.34.3, nfs: commencing msieve linear algebra
12/28/14 21:10:21 v1.34.3, nfs: commencing msieve sqrt
12/28/14 21:11:54 v1.34.3, prp99 = 271947334370427772703079001088405597022995901298425323793895856089277040710049152690028121034657017
12/28/14 21:11:54 v1.34.3, prp61 = 2395402630254751583592665483070989832745994231505876655632607
12/28/14 21:11:54 v1.34.3, NFS elapsed time = 16582.9979 seconds.
12/28/14 21:11:54 v1.34.3, 
12/28/14 21:11:54 v1.34.3, 
12/28/14 21:11:54 v1.34.3, Total factoring time = 16582.9998 seconds
--
Sun Dec 28 20:22:29 2014  
Sun Dec 28 20:22:29 2014  commencing relation filtering
Sun Dec 28 20:22:29 2014  estimated available RAM is 15987.3 MB
Sun Dec 28 20:22:29 2014  commencing duplicate removal, pass 1
Sun Dec 28 20:23:07 2014  found 1308262 hash collisions in 10162448 relations
Sun Dec 28 20:23:16 2014  added 366825 free relations
Sun Dec 28 20:23:16 2014  commencing duplicate removal, pass 2
Sun Dec 28 20:23:25 2014  found 832545 duplicates and 9696728 unique relations
Sun Dec 28 20:23:25 2014  memory use: 41.3 MB
Sun Dec 28 20:23:25 2014  reading ideals above 100000
Sun Dec 28 20:23:25 2014  commencing singleton removal, initial pass
Sun Dec 28 20:24:26 2014  memory use: 344.5 MB
Sun Dec 28 20:24:26 2014  reading all ideals from disk
Sun Dec 28 20:24:26 2014  memory use: 341.9 MB
Sun Dec 28 20:24:27 2014  keeping 10311897 ideals with weight <= 200, target excess is 50486
Sun Dec 28 20:24:28 2014  commencing in-memory singleton removal
Sun Dec 28 20:24:28 2014  begin with 9696728 relations and 10311897 unique ideals
Sun Dec 28 20:24:34 2014  reduce to 4343978 relations and 3803874 ideals in 15 passes
Sun Dec 28 20:24:34 2014  max relations containing the same ideal: 123
Sun Dec 28 20:24:36 2014  removing 1064536 relations and 823766 ideals in 240770 cliques
Sun Dec 28 20:24:36 2014  commencing in-memory singleton removal
Sun Dec 28 20:24:36 2014  begin with 3279442 relations and 3803874 unique ideals
Sun Dec 28 20:24:38 2014  reduce to 3066785 relations and 2752651 ideals in 9 passes
Sun Dec 28 20:24:38 2014  max relations containing the same ideal: 93
Sun Dec 28 20:24:39 2014  removing 862677 relations and 621907 ideals in 240770 cliques
Sun Dec 28 20:24:40 2014  commencing in-memory singleton removal
Sun Dec 28 20:24:40 2014  begin with 2204108 relations and 2752651 unique ideals
Sun Dec 28 20:24:41 2014  reduce to 2018113 relations and 1929673 ideals in 10 passes
Sun Dec 28 20:24:41 2014  max relations containing the same ideal: 68
Sun Dec 28 20:24:42 2014  removing 175383 relations and 145507 ideals in 29876 cliques
Sun Dec 28 20:24:42 2014  commencing in-memory singleton removal
Sun Dec 28 20:24:42 2014  begin with 1842730 relations and 1929673 unique ideals
Sun Dec 28 20:24:43 2014  reduce to 1832162 relations and 1773457 ideals in 6 passes
Sun Dec 28 20:24:43 2014  max relations containing the same ideal: 66
Sun Dec 28 20:24:45 2014  relations with 0 large ideals: 1155
Sun Dec 28 20:24:45 2014  relations with 1 large ideals: 442
Sun Dec 28 20:24:45 2014  relations with 2 large ideals: 7151
Sun Dec 28 20:24:45 2014  relations with 3 large ideals: 51687
Sun Dec 28 20:24:45 2014  relations with 4 large ideals: 195700
Sun Dec 28 20:24:45 2014  relations with 5 large ideals: 418747
Sun Dec 28 20:24:45 2014  relations with 6 large ideals: 546455
Sun Dec 28 20:24:45 2014  relations with 7+ large ideals: 610825
Sun Dec 28 20:24:45 2014  commencing 2-way merge
Sun Dec 28 20:24:46 2014  reduce to 1092470 relation sets and 1033765 unique ideals
Sun Dec 28 20:24:46 2014  commencing full merge
Sun Dec 28 20:25:01 2014  memory use: 131.5 MB
Sun Dec 28 20:25:01 2014  found 555698 cycles, need 547965
Sun Dec 28 20:25:01 2014  weight of 547965 cycles is about 38626270 (70.49/cycle)
Sun Dec 28 20:25:01 2014  distribution of cycle lengths:
Sun Dec 28 20:25:01 2014  1 relations: 57989
Sun Dec 28 20:25:01 2014  2 relations: 55578
Sun Dec 28 20:25:01 2014  3 relations: 56738
Sun Dec 28 20:25:01 2014  4 relations: 55500
Sun Dec 28 20:25:01 2014  5 relations: 52142
Sun Dec 28 20:25:01 2014  6 relations: 48331
Sun Dec 28 20:25:01 2014  7 relations: 43224
Sun Dec 28 20:25:01 2014  8 relations: 37731
Sun Dec 28 20:25:01 2014  9 relations: 32004
Sun Dec 28 20:25:01 2014  10+ relations: 108728
Sun Dec 28 20:25:01 2014  heaviest cycle: 21 relations
Sun Dec 28 20:25:02 2014  commencing cycle optimization
Sun Dec 28 20:25:02 2014  start with 3351515 relations
Sun Dec 28 20:25:06 2014  pruned 85030 relations
Sun Dec 28 20:25:06 2014  memory use: 108.8 MB
Sun Dec 28 20:25:06 2014  distribution of cycle lengths:
Sun Dec 28 20:25:06 2014  1 relations: 57989
Sun Dec 28 20:25:06 2014  2 relations: 56601
Sun Dec 28 20:25:06 2014  3 relations: 58665
Sun Dec 28 20:25:06 2014  4 relations: 56991
Sun Dec 28 20:25:06 2014  5 relations: 53648
Sun Dec 28 20:25:06 2014  6 relations: 49368
Sun Dec 28 20:25:06 2014  7 relations: 44059
Sun Dec 28 20:25:06 2014  8 relations: 38350
Sun Dec 28 20:25:06 2014  9 relations: 32061
Sun Dec 28 20:25:06 2014  10+ relations: 100233
Sun Dec 28 20:25:06 2014  heaviest cycle: 21 relations
Sun Dec 28 20:25:07 2014  RelProcTime: 158
Sun Dec 28 20:25:07 2014  
Sun Dec 28 20:25:07 2014  commencing linear algebra
Sun Dec 28 20:25:07 2014  read 547965 cycles
Sun Dec 28 20:25:08 2014  cycles contain 1789545 unique relations
Sun Dec 28 20:25:19 2014  read 1789545 relations
Sun Dec 28 20:25:21 2014  using 20 quadratic characters above 134216912
Sun Dec 28 20:25:26 2014  building initial matrix
Sun Dec 28 20:25:40 2014  memory use: 219.8 MB
Sun Dec 28 20:25:41 2014  read 547965 cycles
Sun Dec 28 20:25:41 2014  matrix is 547794 x 547965 (164.5 MB) with weight 49470264 (90.28/col)
Sun Dec 28 20:25:41 2014  sparse part has weight 37082798 (67.67/col)
Sun Dec 28 20:25:44 2014  filtering completed in 2 passes
Sun Dec 28 20:25:44 2014  matrix is 547560 x 547736 (164.4 MB) with weight 49461515 (90.30/col)
Sun Dec 28 20:25:44 2014  sparse part has weight 37079422 (67.70/col)
Sun Dec 28 20:25:46 2014  matrix starts at (0, 0)
Sun Dec 28 20:25:46 2014  matrix is 547560 x 547736 (164.4 MB) with weight 49461515 (90.30/col)
Sun Dec 28 20:25:46 2014  sparse part has weight 37079422 (67.70/col)
Sun Dec 28 20:25:46 2014  saving the first 48 matrix rows for later
Sun Dec 28 20:25:46 2014  matrix includes 64 packed rows
Sun Dec 28 20:25:46 2014  matrix is 547512 x 547736 (155.9 MB) with weight 38896306 (71.01/col)
Sun Dec 28 20:25:46 2014  sparse part has weight 35382604 (64.60/col)
Sun Dec 28 20:25:46 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 28 20:25:47 2014  commencing Lanczos iteration (8 threads)
Sun Dec 28 20:25:47 2014  memory use: 151.1 MB
Sun Dec 28 20:25:51 2014  linear algebra at 0.6%, ETA 0h11m
Sun Dec 28 21:10:20 2014  lanczos halted after 8659 iterations (dim = 547510)
Sun Dec 28 21:10:21 2014  recovered 35 nontrivial dependencies
Sun Dec 28 21:10:21 2014  BLanczosTime: 2714
Sun Dec 28 21:10:21 2014  
Sun Dec 28 21:10:21 2014  commencing square root phase
Sun Dec 28 21:10:21 2014  reading relations for dependency 1
Sun Dec 28 21:10:21 2014  read 274887 cycles
Sun Dec 28 21:10:21 2014  cycles contain 897562 unique relations
Sun Dec 28 21:10:34 2014  read 897562 relations
Sun Dec 28 21:10:37 2014  multiplying 897562 relations
Sun Dec 28 21:11:10 2014  multiply complete, coefficients have about 27.77 million bits
Sun Dec 28 21:11:10 2014  initial square root is modulo 94380911
Sun Dec 28 21:11:54 2014  sqrtTime: 93
--
n: 651423360041691095042668230082730766725294769070418865220506807374112435671943195883004364536512279330336785877141554296137059474952771806396977395609406553319
m: 100000000000000000000000000000000
deg: 5
c5: 1000
c0: -31
skew: 0.50
# Murphy_E = 4.022e-10
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
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
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:08 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 8 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:29 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 29 秒 (日本時間)

10164-313

c136

name 名前Serge Batalov
date 日付December 21, 2014 01:53:47 UTC 2014 年 12 月 21 日 (日) 10 時 53 分 47 秒 (日本時間)
composite number 合成数
1840133680067881709298033360238051058958139520526432010633313835333993492059402607535380550060450736693618095837104155077832650638926681<136>
prime factors 素因数
101563495117164807620329193883869<33>
18118061789278544277193054318172919991726549139862003211044368822733068663458405895943111305273787915949<104>
factorization results 素因数分解の結果
Input number is 1840133680067881709298033360238051058958139520526432010633313835333993492059402607535380550060450736693618095837104155077832650638926681 (136 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1617092512
Step 1 took 10016ms
Step 2 took 7126ms
********** Factor found in step 2: 101563495117164807620329193883869
Found probable prime factor of 33 digits: 101563495117164807620329193883869
Probable prime cofactor 18118061789278544277193054318172919991726549139862003211044368822733068663458405895943111305273787915949 has 104 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:20:44 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 44 秒 (日本時間)

10167-313

c138

name 名前Cyp
date 日付March 4, 2015 18:01:13 UTC 2015 年 3 月 5 日 (木) 3 時 1 分 13 秒 (日本時間)
composite number 合成数
736486401528469053896836883535091721943244020304955113335474857988973980518358425832602117135273529324751756936738393346318138773446788363<138>
prime factors 素因数
234674709335116863626209948008578072584698407263<48>
3138328811038441069139078035207590093698117310029713657898135836895462370591637358473119701<91>
factorization results 素因数分解の結果
03/04/15 13:37:58 v1.34.3, 
03/04/15 13:37:58 v1.34.3, ****************************
03/04/15 13:37:58 v1.34.3, Starting factorization of 736486401528469053896836883535091721943244020304955113335474857988973980518358425832602117135273529324751756936738393346318138773446788363
03/04/15 13:37:58 v1.34.3, using pretesting plan: none
03/04/15 13:37:58 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
03/04/15 13:37:58 v1.34.3, ****************************
03/04/15 13:37:58 v1.34.3, nfs: commencing nfs on c138: 736486401528469053896836883535091721943244020304955113335474857988973980518358425832602117135273529324751756936738393346318138773446788363
03/04/15 13:37:58 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
03/04/15 13:37:58 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/04/15 13:39:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
[181 lines snipped]
03/04/15 18:31:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/04/15 18:33:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/04/15 18:35:05 v1.34.3, nfs: commencing msieve filtering
03/04/15 18:37:06 v1.34.3, nfs: commencing msieve linear algebra
03/04/15 18:59:51 v1.34.3, nfs: commencing msieve sqrt
03/04/15 19:01:12 v1.34.3, prp91 = 3138328811038441069139078035207590093698117310029713657898135836895462370591637358473119701
03/04/15 19:01:12 v1.34.3, prp48 = 234674709335116863626209948008578072584698407263
03/04/15 19:01:12 v1.34.3, NFS elapsed time = 19394.2030 seconds.
03/04/15 19:01:12 v1.34.3, 
03/04/15 19:01:12 v1.34.3, 
03/04/15 19:01:12 v1.34.3, Total factoring time = 19394.2038 seconds
--
Wed Mar  4 18:35:05 2015  
Wed Mar  4 18:35:05 2015  commencing relation filtering
Wed Mar  4 18:35:05 2015  estimated available RAM is 15987.3 MB
Wed Mar  4 18:35:05 2015  commencing duplicate removal, pass 1
Wed Mar  4 18:35:33 2015  found 1778064 hash collisions in 10074715 relations
Wed Mar  4 18:35:41 2015  added 362623 free relations
Wed Mar  4 18:35:41 2015  commencing duplicate removal, pass 2
Wed Mar  4 18:35:50 2015  found 1504153 duplicates and 8933185 unique relations
Wed Mar  4 18:35:50 2015  memory use: 45.3 MB
Wed Mar  4 18:35:50 2015  reading ideals above 100000
Wed Mar  4 18:35:50 2015  commencing singleton removal, initial pass
Wed Mar  4 18:36:29 2015  memory use: 188.2 MB
Wed Mar  4 18:36:29 2015  reading all ideals from disk
Wed Mar  4 18:36:30 2015  memory use: 315.2 MB
Wed Mar  4 18:36:30 2015  keeping 10141991 ideals with weight <= 200, target excess is 44866
Wed Mar  4 18:36:30 2015  commencing in-memory singleton removal
Wed Mar  4 18:36:31 2015  begin with 8933185 relations and 10141991 unique ideals
Wed Mar  4 18:36:34 2015  reduce to 3373235 relations and 3293252 ideals in 17 passes
Wed Mar  4 18:36:34 2015  max relations containing the same ideal: 103
Wed Mar  4 18:36:35 2015  removing 180219 relations and 166250 ideals in 13969 cliques
Wed Mar  4 18:36:35 2015  commencing in-memory singleton removal
Wed Mar  4 18:36:35 2015  begin with 3193016 relations and 3293252 unique ideals
Wed Mar  4 18:36:36 2015  reduce to 3185037 relations and 3118962 ideals in 8 passes
Wed Mar  4 18:36:36 2015  max relations containing the same ideal: 99
Wed Mar  4 18:36:37 2015  removing 130794 relations and 116825 ideals in 13969 cliques
Wed Mar  4 18:36:37 2015  commencing in-memory singleton removal
Wed Mar  4 18:36:37 2015  begin with 3054243 relations and 3118962 unique ideals
Wed Mar  4 18:36:38 2015  reduce to 3049790 relations and 2997654 ideals in 7 passes
Wed Mar  4 18:36:38 2015  max relations containing the same ideal: 95
Wed Mar  4 18:36:38 2015  relations with 0 large ideals: 1016
Wed Mar  4 18:36:38 2015  relations with 1 large ideals: 302
Wed Mar  4 18:36:38 2015  relations with 2 large ideals: 5213
Wed Mar  4 18:36:38 2015  relations with 3 large ideals: 44508
Wed Mar  4 18:36:38 2015  relations with 4 large ideals: 207365
Wed Mar  4 18:36:38 2015  relations with 5 large ideals: 550944
Wed Mar  4 18:36:38 2015  relations with 6 large ideals: 900700
Wed Mar  4 18:36:38 2015  relations with 7+ large ideals: 1339742
Wed Mar  4 18:36:38 2015  commencing 2-way merge
Wed Mar  4 18:36:39 2015  reduce to 1793495 relation sets and 1741359 unique ideals
Wed Mar  4 18:36:39 2015  commencing full merge
Wed Mar  4 18:36:58 2015  memory use: 216.3 MB
Wed Mar  4 18:36:58 2015  found 910125 cycles, need 905559
Wed Mar  4 18:36:58 2015  weight of 905559 cycles is about 63413937 (70.03/cycle)
Wed Mar  4 18:36:58 2015  distribution of cycle lengths:
Wed Mar  4 18:36:58 2015  1 relations: 119971
Wed Mar  4 18:36:58 2015  2 relations: 112989
Wed Mar  4 18:36:58 2015  3 relations: 104959
Wed Mar  4 18:36:58 2015  4 relations: 91989
Wed Mar  4 18:36:58 2015  5 relations: 80051
Wed Mar  4 18:36:58 2015  6 relations: 66982
Wed Mar  4 18:36:58 2015  7 relations: 56475
Wed Mar  4 18:36:58 2015  8 relations: 48296
Wed Mar  4 18:36:58 2015  9 relations: 39690
Wed Mar  4 18:36:58 2015  10+ relations: 184157
Wed Mar  4 18:36:58 2015  heaviest cycle: 27 relations
Wed Mar  4 18:36:58 2015  commencing cycle optimization
Wed Mar  4 18:36:59 2015  start with 5534369 relations
Wed Mar  4 18:37:05 2015  pruned 129214 relations
Wed Mar  4 18:37:05 2015  memory use: 180.1 MB
Wed Mar  4 18:37:05 2015  distribution of cycle lengths:
Wed Mar  4 18:37:05 2015  1 relations: 119971
Wed Mar  4 18:37:05 2015  2 relations: 115281
Wed Mar  4 18:37:05 2015  3 relations: 108413
Wed Mar  4 18:37:05 2015  4 relations: 93697
Wed Mar  4 18:37:05 2015  5 relations: 81781
Wed Mar  4 18:37:05 2015  6 relations: 67620
Wed Mar  4 18:37:05 2015  7 relations: 56750
Wed Mar  4 18:37:05 2015  8 relations: 47985
Wed Mar  4 18:37:05 2015  9 relations: 39284
Wed Mar  4 18:37:05 2015  10+ relations: 174777
Wed Mar  4 18:37:05 2015  heaviest cycle: 27 relations
Wed Mar  4 18:37:05 2015  RelProcTime: 120
Wed Mar  4 18:37:06 2015  
Wed Mar  4 18:37:06 2015  commencing linear algebra
Wed Mar  4 18:37:06 2015  read 905559 cycles
Wed Mar  4 18:37:07 2015  cycles contain 2992342 unique relations
Wed Mar  4 18:37:20 2015  read 2992342 relations
Wed Mar  4 18:37:22 2015  using 20 quadratic characters above 134217614
Wed Mar  4 18:37:31 2015  building initial matrix
Wed Mar  4 18:37:46 2015  memory use: 356.9 MB
Wed Mar  4 18:37:47 2015  read 905559 cycles
Wed Mar  4 18:37:47 2015  matrix is 905382 x 905559 (270.6 MB) with weight 79211491 (87.47/col)
Wed Mar  4 18:37:47 2015  sparse part has weight 60963239 (67.32/col)
Wed Mar  4 18:37:51 2015  filtering completed in 2 passes
Wed Mar  4 18:37:51 2015  matrix is 904806 x 904983 (270.5 MB) with weight 79193445 (87.51/col)
Wed Mar  4 18:37:51 2015  sparse part has weight 60957582 (67.36/col)
Wed Mar  4 18:37:54 2015  matrix starts at (0, 0)
Wed Mar  4 18:37:54 2015  matrix is 904806 x 904983 (270.5 MB) with weight 79193445 (87.51/col)
Wed Mar  4 18:37:54 2015  sparse part has weight 60957582 (67.36/col)
Wed Mar  4 18:37:54 2015  saving the first 48 matrix rows for later
Wed Mar  4 18:37:54 2015  matrix includes 64 packed rows
Wed Mar  4 18:37:54 2015  matrix is 904758 x 904983 (255.5 MB) with weight 63239937 (69.88/col)
Wed Mar  4 18:37:54 2015  sparse part has weight 57922111 (64.00/col)
Wed Mar  4 18:37:54 2015  using block size 65536 for processor cache size 8192 kB
Wed Mar  4 18:37:56 2015  commencing Lanczos iteration (8 threads)
Wed Mar  4 18:37:56 2015  memory use: 248.7 MB
Wed Mar  4 18:38:00 2015  linear algebra at 0.3%, ETA 0h19m
Wed Mar  4 18:59:50 2015  lanczos halted after 14309 iterations (dim = 904758)
Wed Mar  4 18:59:51 2015  recovered 40 nontrivial dependencies
Wed Mar  4 18:59:51 2015  BLanczosTime: 1365
Wed Mar  4 18:59:51 2015  
Wed Mar  4 18:59:51 2015  commencing square root phase
Wed Mar  4 18:59:51 2015  reading relations for dependency 1
Wed Mar  4 18:59:51 2015  read 453253 cycles
Wed Mar  4 18:59:52 2015  cycles contain 1495240 unique relations
Wed Mar  4 19:00:01 2015  read 1495240 relations
Wed Mar  4 19:00:04 2015  multiplying 1495240 relations
Wed Mar  4 19:00:35 2015  multiply complete, coefficients have about 41.06 million bits
Wed Mar  4 19:00:35 2015  initial square root is modulo 784831
Wed Mar  4 19:01:12 2015  sqrtTime: 81
--
n: 736486401528469053896836883535091721943244020304955113335474857988973980518358425832602117135273529324751756936738393346318138773446788363
m: 1000000000000000000000000000000000
deg: 5
c5: 100
c0: -31
skew: 0.79
# Murphy_E = 3.118e-10
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62950300Serge BatalovDecember 20, 2014 21:20:44 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 44 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:01 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 1 秒 (日本時間)
2350Ignacio SantosFebruary 21, 2015 12:04:44 UTC 2015 年 2 月 21 日 (土) 21 時 4 分 44 秒 (日本時間)

10168-313

c128

name 名前Jo Yeong Uk
date 日付March 28, 2015 23:36:37 UTC 2015 年 3 月 29 日 (日) 8 時 36 分 37 秒 (日本時間)
composite number 合成数
15628340359678727104396436029875077635302910733146887228004026241996455994306622939852532697314874525884796350976086344464147417<128>
prime factors 素因数
1009714668272008891953065174357785413630304245079391546587<58>
15477976948106075988060239757999219152651879554847771294759708712384091<71>
factorization results 素因数分解の結果
Number: 33323_168
N=15628340359678727104396436029875077635302910733146887228004026241996455994306622939852532697314874525884796350976086344464147417
  ( 128 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=1009714668272008891953065174357785413630304245079391546587
 r2=15477976948106075988060239757999219152651879554847771294759708712384091
Version: 
Total time: 18.43 hours.
Scaled time: 92.50 units (timescale=5.020).
Factorization parameters were as follows:
n: 15628340359678727104396436029875077635302910733146887228004026241996455994306622939852532697314874525884796350976086344464147417
m: 2000000000000000000000000000000000
deg: 5
c5: 125
c0: -124
skew: 1.00
# Murphy_E = 2.563e-10
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2700000, 5100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10836729
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 930539 x 930787
Total sieving time: 16.85 hours.
Total relation processing time: 0.64 hours.
Matrix solve time: 0.87 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 18.43 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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:20:44 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 44 秒 (日本時間)
4511e6600 / 3875Pierre JammesDecember 27, 2014 19:45:20 UTC 2014 年 12 月 28 日 (日) 4 時 45 分 20 秒 (日本時間)
5043e6152 / 7407Pierre JammesMarch 8, 2015 07:19:55 UTC 2015 年 3 月 8 日 (日) 16 時 19 分 55 秒 (日本時間)

10171-313

c143

name 名前Cyp
date 日付February 4, 2015 16:29:02 UTC 2015 年 2 月 5 日 (木) 1 時 29 分 2 秒 (日本時間)
composite number 合成数
58460734074164194495281550617872084322750769745120335241517683553792657761532360886216192233159160024004702898444819994641966629881597268259989<143>
prime factors 素因数
583143886618190804343432632164656417347<39>
100250959352748788481347477608665953621768370660262814145508713765742504779279846170912582932762619196487<105>
factorization results 素因数分解の結果
Run 285 out of 498:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=259287320
Step 1 took 41996ms
Step 2 took 14838ms
********** Factor found in step 2: 583143886618190804343432632164656417347
Found probable prime factor of 39 digits: 583143886618190804343432632164656417347
Probable prime cofactor 100250959352748788481347477608665953621768370660262814145508713765742504779279846170912582932762619196487 has 105 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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 1335300Serge BatalovDecember 20, 2014 21:20:45 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 45 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:02 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 2 秒 (日本時間)
4511e6285 / 4342CypFebruary 4, 2015 16:29:02 UTC 2015 年 2 月 5 日 (木) 1 時 29 分 2 秒 (日本時間)

10173-313

c111

name 名前Cyp
date 日付December 21, 2014 01:19:11 UTC 2014 年 12 月 21 日 (日) 10 時 19 分 11 秒 (日本時間)
composite number 合成数
376804655978173317745764122507695535432039405651770572056028256908165610536100583006831445512569753451291689619<111>
prime factors 素因数
1441379257038144202837358308312832745536841424583339<52>
261419507834780557698335097831002304120341181395852632430521<60>
factorization results 素因数分解の結果
12/20/14 23:25:25 v1.34.3, 
12/20/14 23:25:25 v1.34.3, ****************************
12/20/14 23:25:25 v1.34.3, Starting factorization of 376804655978173317745764122507695535432039405651770572056028256908165610536100583006831445512569753451291689619
12/20/14 23:25:25 v1.34.3, using pretesting plan: none
12/20/14 23:25:25 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 23:25:25 v1.34.3, ****************************
12/20/14 23:25:25 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C111
12/20/14 23:25:25 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C111
12/20/14 23:25:25 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C111
12/20/14 23:25:25 v1.34.3, final ECM pretested depth: 0.00
12/20/14 23:25:25 v1.34.3, scheduler: switching to sieve method
12/20/14 23:25:25 v1.34.3, nfs: commencing nfs on c111: 376804655978173317745764122507695535432039405651770572056028256908165610536100583006831445512569753451291689619
12/20/14 23:25:25 v1.34.3, nfs: commencing poly selection with 8 threads
12/20/14 23:25:25 v1.34.3, nfs: setting deadline of 525 seconds
12/20/14 23:34:29 v1.34.3, nfs: completed 76 ranges of size 250 in 543.7027 seconds
12/20/14 23:34:29 v1.34.3, nfs: best poly = # norm 1.637730e-10 alpha -7.833617 e 9.095e-10 rroots 3
12/20/14 23:34:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 23:44:37 v1.34.3, nfs: commencing lattice sieving with 8 threads
[9 lines snipped]
12/21/14 01:16:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 01:26:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 01:36:24 v1.34.3, nfs: commencing msieve filtering
12/21/14 01:37:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 01:47:57 v1.34.3, nfs: commencing msieve filtering
12/21/14 01:49:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 01:59:31 v1.34.3, nfs: commencing msieve filtering
12/21/14 02:01:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 02:11:04 v1.34.3, nfs: commencing msieve filtering
12/21/14 02:13:04 v1.34.3, nfs: commencing msieve linear algebra
12/21/14 02:18:24 v1.34.3, nfs: commencing msieve sqrt
12/21/14 02:19:10 v1.34.3, prp52 = 1441379257038144202837358308312832745536841424583339
12/21/14 02:19:10 v1.34.3, prp60 = 261419507834780557698335097831002304120341181395852632430521
12/21/14 02:19:10 v1.34.3, NFS elapsed time = 10424.8400 seconds.
12/21/14 02:19:10 v1.34.3, 
12/21/14 02:19:10 v1.34.3, 
12/21/14 02:19:10 v1.34.3, Total factoring time = 10424.8806 seconds
--
Sun Dec 21 01:36:24 2014  
Sun Dec 21 01:36:24 2014  commencing relation filtering
Sun Dec 21 01:36:24 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 01:36:24 2014  commencing duplicate removal, pass 1
Sun Dec 21 01:36:51 2014  found 415316 hash collisions in 4588240 relations
Sun Dec 21 01:37:01 2014  added 32673 free relations
Sun Dec 21 01:37:01 2014  commencing duplicate removal, pass 2
Sun Dec 21 01:37:07 2014  found 169613 duplicates and 4451300 unique relations
Sun Dec 21 01:37:07 2014  memory use: 19.6 MB
Sun Dec 21 01:37:07 2014  reading ideals above 100000
Sun Dec 21 01:37:07 2014  commencing singleton removal, initial pass
Sun Dec 21 01:37:39 2014  memory use: 172.2 MB
Sun Dec 21 01:37:39 2014  reading all ideals from disk
Sun Dec 21 01:37:39 2014  memory use: 149.2 MB
Sun Dec 21 01:37:40 2014  keeping 5401820 ideals with weight <= 200, target excess is 24148
Sun Dec 21 01:37:40 2014  commencing in-memory singleton removal
Sun Dec 21 01:37:41 2014  begin with 4451300 relations and 5401820 unique ideals
Sun Dec 21 01:37:46 2014  reduce to 654336 relations and 811398 ideals in 76 passes
Sun Dec 21 01:37:46 2014  max relations containing the same ideal: 52
Sun Dec 21 01:47:57 2014  
Sun Dec 21 01:47:57 2014  commencing relation filtering
Sun Dec 21 01:47:57 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 01:47:57 2014  commencing duplicate removal, pass 1
Sun Dec 21 01:48:27 2014  found 477988 hash collisions in 4969574 relations
Sun Dec 21 01:48:36 2014  added 87 free relations
Sun Dec 21 01:48:36 2014  commencing duplicate removal, pass 2
Sun Dec 21 01:48:42 2014  found 194134 duplicates and 4775527 unique relations
Sun Dec 21 01:48:42 2014  memory use: 20.6 MB
Sun Dec 21 01:48:42 2014  reading ideals above 100000
Sun Dec 21 01:48:42 2014  commencing singleton removal, initial pass
Sun Dec 21 01:49:20 2014  memory use: 172.2 MB
Sun Dec 21 01:49:20 2014  reading all ideals from disk
Sun Dec 21 01:49:21 2014  memory use: 160.1 MB
Sun Dec 21 01:49:21 2014  keeping 5558021 ideals with weight <= 200, target excess is 25350
Sun Dec 21 01:49:21 2014  commencing in-memory singleton removal
Sun Dec 21 01:49:21 2014  begin with 4775527 relations and 5558021 unique ideals
Sun Dec 21 01:49:24 2014  reduce to 1278649 relations and 1366634 ideals in 26 passes
Sun Dec 21 01:49:24 2014  max relations containing the same ideal: 80
Sun Dec 21 01:59:31 2014  
Sun Dec 21 01:59:31 2014  commencing relation filtering
Sun Dec 21 01:59:31 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 01:59:31 2014  commencing duplicate removal, pass 1
Sun Dec 21 02:00:00 2014  found 540092 hash collisions in 5317955 relations
Sun Dec 21 02:00:10 2014  added 61 free relations
Sun Dec 21 02:00:10 2014  commencing duplicate removal, pass 2
Sun Dec 21 02:00:17 2014  found 220149 duplicates and 5097867 unique relations
Sun Dec 21 02:00:17 2014  memory use: 20.6 MB
Sun Dec 21 02:00:17 2014  reading ideals above 100000
Sun Dec 21 02:00:17 2014  commencing singleton removal, initial pass
Sun Dec 21 02:00:58 2014  memory use: 172.2 MB
Sun Dec 21 02:00:58 2014  reading all ideals from disk
Sun Dec 21 02:00:58 2014  memory use: 171.0 MB
Sun Dec 21 02:00:58 2014  keeping 5701207 ideals with weight <= 200, target excess is 26742
Sun Dec 21 02:00:59 2014  commencing in-memory singleton removal
Sun Dec 21 02:00:59 2014  begin with 5097867 relations and 5701207 unique ideals
Sun Dec 21 02:01:03 2014  reduce to 1751864 relations and 1741781 ideals in 19 passes
Sun Dec 21 02:01:03 2014  max relations containing the same ideal: 95
Sun Dec 21 02:11:04 2014  
Sun Dec 21 02:11:04 2014  commencing relation filtering
Sun Dec 21 02:11:04 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 02:11:04 2014  commencing duplicate removal, pass 1
Sun Dec 21 02:11:38 2014  found 606485 hash collisions in 5672970 relations
Sun Dec 21 02:11:46 2014  added 53 free relations
Sun Dec 21 02:11:46 2014  commencing duplicate removal, pass 2
Sun Dec 21 02:11:53 2014  found 248283 duplicates and 5424740 unique relations
Sun Dec 21 02:11:53 2014  memory use: 20.6 MB
Sun Dec 21 02:11:53 2014  reading ideals above 100000
Sun Dec 21 02:11:53 2014  commencing singleton removal, initial pass
Sun Dec 21 02:12:38 2014  memory use: 172.2 MB
Sun Dec 21 02:12:38 2014  reading all ideals from disk
Sun Dec 21 02:12:38 2014  memory use: 182.0 MB
Sun Dec 21 02:12:38 2014  keeping 5835369 ideals with weight <= 200, target excess is 28298
Sun Dec 21 02:12:39 2014  commencing in-memory singleton removal
Sun Dec 21 02:12:39 2014  begin with 5424740 relations and 5835369 unique ideals
Sun Dec 21 02:12:44 2014  reduce to 2208260 relations and 2075839 ideals in 18 passes
Sun Dec 21 02:12:44 2014  max relations containing the same ideal: 116
Sun Dec 21 02:12:45 2014  removing 384946 relations and 335148 ideals in 49798 cliques
Sun Dec 21 02:12:45 2014  commencing in-memory singleton removal
Sun Dec 21 02:12:45 2014  begin with 1823314 relations and 2075839 unique ideals
Sun Dec 21 02:12:47 2014  reduce to 1766653 relations and 1682328 ideals in 10 passes
Sun Dec 21 02:12:47 2014  max relations containing the same ideal: 96
Sun Dec 21 02:12:47 2014  removing 291391 relations and 241593 ideals in 49798 cliques
Sun Dec 21 02:12:47 2014  commencing in-memory singleton removal
Sun Dec 21 02:12:48 2014  begin with 1475262 relations and 1682328 unique ideals
Sun Dec 21 02:12:49 2014  reduce to 1433560 relations and 1397819 ideals in 11 passes
Sun Dec 21 02:12:49 2014  max relations containing the same ideal: 86
Sun Dec 21 02:12:50 2014  relations with 0 large ideals: 102
Sun Dec 21 02:12:50 2014  relations with 1 large ideals: 181
Sun Dec 21 02:12:50 2014  relations with 2 large ideals: 3024
Sun Dec 21 02:12:50 2014  relations with 3 large ideals: 26504
Sun Dec 21 02:12:50 2014  relations with 4 large ideals: 118169
Sun Dec 21 02:12:50 2014  relations with 5 large ideals: 294117
Sun Dec 21 02:12:50 2014  relations with 6 large ideals: 425456
Sun Dec 21 02:12:50 2014  relations with 7+ large ideals: 566007
Sun Dec 21 02:12:50 2014  commencing 2-way merge
Sun Dec 21 02:12:51 2014  reduce to 819314 relation sets and 783573 unique ideals
Sun Dec 21 02:12:51 2014  commencing full merge
Sun Dec 21 02:13:01 2014  memory use: 88.0 MB
Sun Dec 21 02:13:01 2014  found 402019 cycles, need 395773
Sun Dec 21 02:13:01 2014  weight of 395773 cycles is about 27790246 (70.22/cycle)
Sun Dec 21 02:13:01 2014  distribution of cycle lengths:
Sun Dec 21 02:13:01 2014  1 relations: 44762
Sun Dec 21 02:13:01 2014  2 relations: 43247
Sun Dec 21 02:13:01 2014  3 relations: 43885
Sun Dec 21 02:13:01 2014  4 relations: 39834
Sun Dec 21 02:13:01 2014  5 relations: 36528
Sun Dec 21 02:13:01 2014  6 relations: 31370
Sun Dec 21 02:13:01 2014  7 relations: 28177
Sun Dec 21 02:13:01 2014  8 relations: 24348
Sun Dec 21 02:13:01 2014  9 relations: 20792
Sun Dec 21 02:13:01 2014  10+ relations: 82830
Sun Dec 21 02:13:01 2014  heaviest cycle: 22 relations
Sun Dec 21 02:13:01 2014  commencing cycle optimization
Sun Dec 21 02:13:02 2014  start with 2435684 relations
Sun Dec 21 02:13:04 2014  pruned 50922 relations
Sun Dec 21 02:13:04 2014  memory use: 81.8 MB
Sun Dec 21 02:13:04 2014  distribution of cycle lengths:
Sun Dec 21 02:13:04 2014  1 relations: 44762
Sun Dec 21 02:13:04 2014  2 relations: 44159
Sun Dec 21 02:13:04 2014  3 relations: 45284
Sun Dec 21 02:13:04 2014  4 relations: 40639
Sun Dec 21 02:13:04 2014  5 relations: 37203
Sun Dec 21 02:13:04 2014  6 relations: 31870
Sun Dec 21 02:13:04 2014  7 relations: 28276
Sun Dec 21 02:13:04 2014  8 relations: 24453
Sun Dec 21 02:13:04 2014  9 relations: 20781
Sun Dec 21 02:13:04 2014  10+ relations: 78346
Sun Dec 21 02:13:04 2014  heaviest cycle: 22 relations
Sun Dec 21 02:13:04 2014  RelProcTime: 120
Sun Dec 21 02:13:04 2014  
Sun Dec 21 02:13:04 2014  commencing linear algebra
Sun Dec 21 02:13:05 2014  read 395773 cycles
Sun Dec 21 02:13:05 2014  cycles contain 1377025 unique relations
Sun Dec 21 02:13:15 2014  read 1377025 relations
Sun Dec 21 02:13:16 2014  using 20 quadratic characters above 67107464
Sun Dec 21 02:13:22 2014  building initial matrix
Sun Dec 21 02:13:30 2014  memory use: 176.9 MB
Sun Dec 21 02:13:30 2014  read 395773 cycles
Sun Dec 21 02:13:30 2014  matrix is 395595 x 395773 (120.0 MB) with weight 38551786 (97.41/col)
Sun Dec 21 02:13:30 2014  sparse part has weight 26703848 (67.47/col)
Sun Dec 21 02:13:32 2014  filtering completed in 2 passes
Sun Dec 21 02:13:32 2014  matrix is 394680 x 394858 (119.9 MB) with weight 38510035 (97.53/col)
Sun Dec 21 02:13:32 2014  sparse part has weight 26690645 (67.60/col)
Sun Dec 21 02:13:32 2014  matrix starts at (0, 0)
Sun Dec 21 02:13:32 2014  matrix is 394680 x 394858 (119.9 MB) with weight 38510035 (97.53/col)
Sun Dec 21 02:13:32 2014  sparse part has weight 26690645 (67.60/col)
Sun Dec 21 02:13:32 2014  saving the first 48 matrix rows for later
Sun Dec 21 02:13:32 2014  matrix includes 64 packed rows
Sun Dec 21 02:13:33 2014  matrix is 394632 x 394858 (115.8 MB) with weight 30674358 (77.68/col)
Sun Dec 21 02:13:33 2014  sparse part has weight 26398672 (66.86/col)
Sun Dec 21 02:13:33 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 21 02:13:34 2014  commencing Lanczos iteration (8 threads)
Sun Dec 21 02:13:34 2014  memory use: 108.9 MB
Sun Dec 21 02:13:42 2014  linear algebra at 3.1%, ETA 0h 4m
Sun Dec 21 02:18:24 2014  lanczos halted after 6244 iterations (dim = 394632)
Sun Dec 21 02:18:24 2014  recovered 32 nontrivial dependencies
Sun Dec 21 02:18:24 2014  BLanczosTime: 320
Sun Dec 21 02:18:24 2014  
Sun Dec 21 02:18:24 2014  commencing square root phase
Sun Dec 21 02:18:24 2014  reading relations for dependency 1
Sun Dec 21 02:18:24 2014  read 197582 cycles
Sun Dec 21 02:18:24 2014  cycles contain 688664 unique relations
Sun Dec 21 02:18:30 2014  read 688664 relations
Sun Dec 21 02:18:31 2014  multiplying 688664 relations
Sun Dec 21 02:18:48 2014  multiply complete, coefficients have about 26.17 million bits
Sun Dec 21 02:18:48 2014  initial square root is modulo 32811787
Sun Dec 21 02:19:10 2014  sqrtTime: 46
--
n: 376804655978173317745764122507695535432039405651770572056028256908165610536100583006831445512569753451291689619
skew: 399650.90
c0: -699619029435340274416859047785
c1: -4219075245295984712282083
c2: 33355154156936491587
c3: 64379319329963
c4: -143531002
c5: 120
Y0: -5004806361498502335262
Y1: 13304316791
rlim: 3460000
alim: 3460000
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
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:41 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 41 秒 (日本時間)

10174-313

c167

name 名前Cyp
date 日付March 10, 2015 15:31:34 UTC 2015 年 3 月 11 日 (水) 0 時 31 分 34 秒 (日本時間)
composite number 合成数
15664976775967005673995573046233158172262517503065988417034202268028598545541369300370650581993832917952976653404227378829720652891794658534287963284051473045908893153<167>
prime factors 素因数
43021749765762550504962515821991356704814464619683547481520240593955984598376808341<83>
364117611702382779765726151124449368131643481587105356711791533634743346678624571933<84>
factorization results 素因数分解の結果
03/10/15 08:01:02 v1.34.3, 
03/10/15 08:01:02 v1.34.3, ****************************
03/10/15 08:01:02 v1.34.3, Starting factorization of 15664976775967005673995573046233158172262517503065988417034202268028598545541369300370650581993832917952976653404227378829720652891794658534287963284051473045908893153
03/10/15 08:01:02 v1.34.3, using pretesting plan: none
03/10/15 08:01:02 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
03/10/15 08:01:02 v1.34.3, ****************************
03/10/15 08:01:02 v1.34.3, nfs: commencing nfs on c167: 15664976775967005673995573046233158172262517503065988417034202268028598545541369300370650581993832917952976653404227378829720652891794658534287963284051473045908893153
03/10/15 08:01:02 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
03/10/15 08:01:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/10/15 08:06:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
[78 lines snipped]
03/10/15 14:45:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/10/15 14:51:04 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/10/15 14:56:15 v1.34.3, nfs: commencing msieve filtering
03/10/15 14:57:50 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/10/15 15:02:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/10/15 15:08:07 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/10/15 15:13:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/10/15 15:18:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/10/15 15:23:36 v1.34.3, nfs: commencing msieve filtering
03/10/15 15:25:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/10/15 15:30:17 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/10/15 15:35:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/10/15 15:40:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/10/15 15:45:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/10/15 15:50:45 v1.34.3, nfs: commencing msieve filtering
03/10/15 15:53:03 v1.34.3, nfs: commencing msieve linear algebra
03/10/15 16:22:34 v1.34.3, nfs: commencing msieve sqrt
03/10/15 16:31:32 v1.34.3, prp84 = 364117611702382779765726151124449368131643481587105356711791533634743346678624571933
03/10/15 16:31:32 v1.34.3, prp83 = 43021749765762550504962515821991356704814464619683547481520240593955984598376808341
03/10/15 16:31:32 v1.34.3, NFS elapsed time = 30630.6102 seconds.
03/10/15 16:31:32 v1.34.3, 
03/10/15 16:31:32 v1.34.3, 
03/10/15 16:31:32 v1.34.3, Total factoring time = 30630.6113 seconds
--
Tue Mar 10 14:56:15 2015  
Tue Mar 10 14:56:15 2015  commencing relation filtering
Tue Mar 10 14:56:15 2015  estimated available RAM is 15987.3 MB
Tue Mar 10 14:56:15 2015  commencing duplicate removal, pass 1
Tue Mar 10 14:56:44 2015  found 1384574 hash collisions in 10054681 relations
Tue Mar 10 14:56:53 2015  added 371176 free relations
Tue Mar 10 14:56:53 2015  commencing duplicate removal, pass 2
Tue Mar 10 14:57:01 2015  found 958990 duplicates and 9466867 unique relations
Tue Mar 10 14:57:01 2015  memory use: 41.3 MB
Tue Mar 10 14:57:01 2015  reading ideals above 100000
Tue Mar 10 14:57:01 2015  commencing singleton removal, initial pass
Tue Mar 10 14:57:44 2015  memory use: 344.5 MB
Tue Mar 10 14:57:44 2015  reading all ideals from disk
Tue Mar 10 14:57:44 2015  memory use: 348.3 MB
Tue Mar 10 14:57:44 2015  keeping 10954800 ideals with weight <= 200, target excess is 48595
Tue Mar 10 14:57:45 2015  commencing in-memory singleton removal
Tue Mar 10 14:57:45 2015  begin with 9466867 relations and 10954800 unique ideals
Tue Mar 10 14:57:49 2015  reduce to 3249809 relations and 3409365 ideals in 22 passes
Tue Mar 10 14:57:49 2015  max relations containing the same ideal: 96
Tue Mar 10 15:23:36 2015  
Tue Mar 10 15:23:36 2015  commencing relation filtering
Tue Mar 10 15:23:36 2015  estimated available RAM is 15987.3 MB
Tue Mar 10 15:23:36 2015  commencing duplicate removal, pass 1
Tue Mar 10 15:24:12 2015  found 1560713 hash collisions in 10998023 relations
Tue Mar 10 15:24:20 2015  added 1251 free relations
Tue Mar 10 15:24:20 2015  commencing duplicate removal, pass 2
Tue Mar 10 15:24:29 2015  found 1055964 duplicates and 9943310 unique relations
Tue Mar 10 15:24:29 2015  memory use: 41.3 MB
Tue Mar 10 15:24:29 2015  reading ideals above 100000
Tue Mar 10 15:24:29 2015  commencing singleton removal, initial pass
Tue Mar 10 15:25:14 2015  memory use: 344.5 MB
Tue Mar 10 15:25:14 2015  reading all ideals from disk
Tue Mar 10 15:25:14 2015  memory use: 366.1 MB
Tue Mar 10 15:25:14 2015  keeping 11140129 ideals with weight <= 200, target excess is 51227
Tue Mar 10 15:25:15 2015  commencing in-memory singleton removal
Tue Mar 10 15:25:15 2015  begin with 9943310 relations and 11140129 unique ideals
Tue Mar 10 15:25:19 2015  reduce to 3956640 relations and 3939440 ideals in 19 passes
Tue Mar 10 15:25:19 2015  max relations containing the same ideal: 110
Tue Mar 10 15:50:45 2015  
Tue Mar 10 15:50:45 2015  commencing relation filtering
Tue Mar 10 15:50:45 2015  estimated available RAM is 15987.3 MB
Tue Mar 10 15:50:45 2015  commencing duplicate removal, pass 1
Tue Mar 10 15:51:21 2015  found 1697658 hash collisions in 11558509 relations
Tue Mar 10 15:51:29 2015  added 1047 free relations
Tue Mar 10 15:51:29 2015  commencing duplicate removal, pass 2
Tue Mar 10 15:51:38 2015  found 1153743 duplicates and 10405813 unique relations
Tue Mar 10 15:51:38 2015  memory use: 45.3 MB
Tue Mar 10 15:51:38 2015  reading ideals above 720000
Tue Mar 10 15:51:39 2015  commencing singleton removal, initial pass
Tue Mar 10 15:52:24 2015  memory use: 344.5 MB
Tue Mar 10 15:52:24 2015  reading all ideals from disk
Tue Mar 10 15:52:24 2015  memory use: 309.9 MB
Tue Mar 10 15:52:24 2015  commencing in-memory singleton removal
Tue Mar 10 15:52:25 2015  begin with 10405813 relations and 11247869 unique ideals
Tue Mar 10 15:52:28 2015  reduce to 4611473 relations and 4337252 ideals in 15 passes
Tue Mar 10 15:52:28 2015  max relations containing the same ideal: 76
Tue Mar 10 15:52:29 2015  removing 578371 relations and 508501 ideals in 69870 cliques
Tue Mar 10 15:52:29 2015  commencing in-memory singleton removal
Tue Mar 10 15:52:30 2015  begin with 4033102 relations and 4337252 unique ideals
Tue Mar 10 15:52:31 2015  reduce to 3968709 relations and 3763014 ideals in 10 passes
Tue Mar 10 15:52:31 2015  max relations containing the same ideal: 67
Tue Mar 10 15:52:32 2015  removing 436508 relations and 366638 ideals in 69870 cliques
Tue Mar 10 15:52:32 2015  commencing in-memory singleton removal
Tue Mar 10 15:52:32 2015  begin with 3532201 relations and 3763014 unique ideals
Tue Mar 10 15:52:33 2015  reduce to 3490778 relations and 3354185 ideals in 8 passes
Tue Mar 10 15:52:33 2015  max relations containing the same ideal: 61
Tue Mar 10 15:52:35 2015  relations with 0 large ideals: 2868
Tue Mar 10 15:52:35 2015  relations with 1 large ideals: 2043
Tue Mar 10 15:52:35 2015  relations with 2 large ideals: 28595
Tue Mar 10 15:52:35 2015  relations with 3 large ideals: 167894
Tue Mar 10 15:52:35 2015  relations with 4 large ideals: 525782
Tue Mar 10 15:52:35 2015  relations with 5 large ideals: 935992
Tue Mar 10 15:52:35 2015  relations with 6 large ideals: 1003553
Tue Mar 10 15:52:35 2015  relations with 7+ large ideals: 824051
Tue Mar 10 15:52:35 2015  commencing 2-way merge
Tue Mar 10 15:52:36 2015  reduce to 2083201 relation sets and 1946608 unique ideals
Tue Mar 10 15:52:36 2015  commencing full merge
Tue Mar 10 15:52:54 2015  memory use: 231.2 MB
Tue Mar 10 15:52:54 2015  found 1043445 cycles, need 1024808
Tue Mar 10 15:52:55 2015  weight of 1024808 cycles is about 71738083 (70.00/cycle)
Tue Mar 10 15:52:55 2015  distribution of cycle lengths:
Tue Mar 10 15:52:55 2015  1 relations: 133672
Tue Mar 10 15:52:55 2015  2 relations: 118630
Tue Mar 10 15:52:55 2015  3 relations: 114589
Tue Mar 10 15:52:55 2015  4 relations: 102772
Tue Mar 10 15:52:55 2015  5 relations: 93272
Tue Mar 10 15:52:55 2015  6 relations: 79700
Tue Mar 10 15:52:55 2015  7 relations: 69402
Tue Mar 10 15:52:55 2015  8 relations: 59880
Tue Mar 10 15:52:55 2015  9 relations: 51105
Tue Mar 10 15:52:55 2015  10+ relations: 201786
Tue Mar 10 15:52:55 2015  heaviest cycle: 22 relations
Tue Mar 10 15:52:55 2015  commencing cycle optimization
Tue Mar 10 15:52:56 2015  start with 6068984 relations
Tue Mar 10 15:53:02 2015  pruned 145126 relations
Tue Mar 10 15:53:02 2015  memory use: 200.4 MB
Tue Mar 10 15:53:02 2015  distribution of cycle lengths:
Tue Mar 10 15:53:02 2015  1 relations: 133672
Tue Mar 10 15:53:02 2015  2 relations: 121146
Tue Mar 10 15:53:02 2015  3 relations: 118544
Tue Mar 10 15:53:02 2015  4 relations: 105179
Tue Mar 10 15:53:02 2015  5 relations: 95330
Tue Mar 10 15:53:02 2015  6 relations: 80874
Tue Mar 10 15:53:02 2015  7 relations: 70069
Tue Mar 10 15:53:02 2015  8 relations: 59986
Tue Mar 10 15:53:02 2015  9 relations: 50804
Tue Mar 10 15:53:02 2015  10+ relations: 189204
Tue Mar 10 15:53:02 2015  heaviest cycle: 22 relations
Tue Mar 10 15:53:03 2015  RelProcTime: 138
Tue Mar 10 15:53:03 2015  
Tue Mar 10 15:53:03 2015  commencing linear algebra
Tue Mar 10 15:53:03 2015  read 1024808 cycles
Tue Mar 10 15:53:04 2015  cycles contain 3353659 unique relations
Tue Mar 10 15:53:19 2015  read 3353659 relations
Tue Mar 10 15:53:21 2015  using 20 quadratic characters above 134217278
Tue Mar 10 15:53:32 2015  building initial matrix
Tue Mar 10 15:53:49 2015  memory use: 407.3 MB
Tue Mar 10 15:53:49 2015  read 1024808 cycles
Tue Mar 10 15:53:49 2015  matrix is 1024627 x 1024808 (306.4 MB) with weight 90795936 (88.60/col)
Tue Mar 10 15:53:49 2015  sparse part has weight 69042621 (67.37/col)
Tue Mar 10 15:53:55 2015  filtering completed in 2 passes
Tue Mar 10 15:53:55 2015  matrix is 1022619 x 1022800 (306.2 MB) with weight 90723327 (88.70/col)
Tue Mar 10 15:53:55 2015  sparse part has weight 69013474 (67.48/col)
Tue Mar 10 15:53:58 2015  matrix starts at (0, 0)
Tue Mar 10 15:53:58 2015  matrix is 1022619 x 1022800 (306.2 MB) with weight 90723327 (88.70/col)
Tue Mar 10 15:53:58 2015  sparse part has weight 69013474 (67.48/col)
Tue Mar 10 15:53:58 2015  saving the first 48 matrix rows for later
Tue Mar 10 15:53:58 2015  matrix includes 64 packed rows
Tue Mar 10 15:53:58 2015  matrix is 1022571 x 1022800 (290.6 MB) with weight 72171990 (70.56/col)
Tue Mar 10 15:53:58 2015  sparse part has weight 65959748 (64.49/col)
Tue Mar 10 15:53:58 2015  using block size 65536 for processor cache size 8192 kB
Tue Mar 10 15:54:01 2015  commencing Lanczos iteration (8 threads)
Tue Mar 10 15:54:01 2015  memory use: 284.0 MB
Tue Mar 10 15:54:03 2015  linear algebra at 0.1%, ETA 0h22m
Tue Mar 10 15:54:04 2015  checkpointing every 2430000 dimensions
Tue Mar 10 16:22:34 2015  lanczos halted after 16173 iterations (dim = 1022570)
Tue Mar 10 16:22:34 2015  recovered 37 nontrivial dependencies
Tue Mar 10 16:22:34 2015  BLanczosTime: 1771
Tue Mar 10 16:22:34 2015  
Tue Mar 10 16:22:34 2015  commencing square root phase
Tue Mar 10 16:22:35 2015  reading relations for dependency 1
Tue Mar 10 16:22:35 2015  read 511293 cycles
Tue Mar 10 16:22:35 2015  cycles contain 1676102 unique relations
Tue Mar 10 16:22:46 2015  read 1676102 relations
Tue Mar 10 16:22:50 2015  multiplying 1676102 relations
Tue Mar 10 16:23:24 2015  multiply complete, coefficients have about 44.04 million bits
Tue Mar 10 16:23:24 2015  initial square root is modulo 2101651
Tue Mar 10 16:24:06 2015  GCD is N, no factor found
Tue Mar 10 16:24:06 2015  reading relations for dependency 2
Tue Mar 10 16:24:06 2015  read 511284 cycles
Tue Mar 10 16:24:07 2015  cycles contain 1675434 unique relations
Tue Mar 10 16:24:18 2015  read 1675434 relations
Tue Mar 10 16:24:22 2015  multiplying 1675434 relations
Tue Mar 10 16:24:54 2015  multiply complete, coefficients have about 44.02 million bits
Tue Mar 10 16:24:54 2015  initial square root is modulo 2090021
Tue Mar 10 16:25:33 2015  GCD is 1, no factor found
Tue Mar 10 16:25:33 2015  reading relations for dependency 3
Tue Mar 10 16:25:33 2015  read 511728 cycles
Tue Mar 10 16:25:33 2015  cycles contain 1676614 unique relations
Tue Mar 10 16:25:44 2015  read 1676614 relations
Tue Mar 10 16:25:48 2015  multiplying 1676614 relations
Tue Mar 10 16:26:22 2015  multiply complete, coefficients have about 44.05 million bits
Tue Mar 10 16:26:22 2015  initial square root is modulo 2111311
Tue Mar 10 16:27:05 2015  GCD is N, no factor found
Tue Mar 10 16:27:05 2015  reading relations for dependency 4
Tue Mar 10 16:27:05 2015  read 510479 cycles
Tue Mar 10 16:27:05 2015  cycles contain 1674162 unique relations
Tue Mar 10 16:27:16 2015  read 1674162 relations
Tue Mar 10 16:27:20 2015  multiplying 1674162 relations
Tue Mar 10 16:27:52 2015  multiply complete, coefficients have about 43.99 million bits
Tue Mar 10 16:27:53 2015  initial square root is modulo 2067041
Tue Mar 10 16:28:31 2015  GCD is N, no factor found
Tue Mar 10 16:28:31 2015  reading relations for dependency 5
Tue Mar 10 16:28:32 2015  read 511390 cycles
Tue Mar 10 16:28:32 2015  cycles contain 1677786 unique relations
Tue Mar 10 16:28:43 2015  read 1677786 relations
Tue Mar 10 16:28:47 2015  multiplying 1677786 relations
Tue Mar 10 16:29:21 2015  multiply complete, coefficients have about 44.08 million bits
Tue Mar 10 16:29:21 2015  initial square root is modulo 2132881
Tue Mar 10 16:30:03 2015  GCD is N, no factor found
Tue Mar 10 16:30:03 2015  reading relations for dependency 6
Tue Mar 10 16:30:03 2015  read 511262 cycles
Tue Mar 10 16:30:04 2015  cycles contain 1676788 unique relations
Tue Mar 10 16:30:15 2015  read 1676788 relations
Tue Mar 10 16:30:19 2015  multiplying 1676788 relations
Tue Mar 10 16:30:51 2015  multiply complete, coefficients have about 44.05 million bits
Tue Mar 10 16:30:51 2015  initial square root is modulo 2113651
Tue Mar 10 16:31:32 2015  sqrtTime: 538
--
n: 15664976775967005673995573046233158172262517503065988417034202268028598545541369300370650581993832917952976653404227378829720652891794658534287963284051473045908893153
m: 50000000000000000000000000000000000
deg: 5
c5: 16
c0: -155
skew: 1.57
# Murphy_E = 1.627e-10
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:45 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 45 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:02 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 2 秒 (日本時間)
4511e6498 / 4342CypFebruary 4, 2015 06:30:20 UTC 2015 年 2 月 4 日 (水) 15 時 30 分 20 秒 (日本時間)

10176-313

c96

name 名前KTakahashi
date 日付December 19, 2014 22:12:48 UTC 2014 年 12 月 20 日 (土) 7 時 12 分 48 秒 (日本時間)
composite number 合成数
276459657011429180001074993699163435386122326088287039782205730879147405298007891819977184487327<96>
prime factors 素因数
1806504864051977772304346254835387<34>
153035656040987403351342595123255826350566036576525990862976621<63>
factorization results 素因数分解の結果
Number: 33323_176
N=276459657011429180001074993699163435386122326088287039782205730879147405298007891819977184487327
  ( 96 digits)
Divisors found:
 r1=1806504864051977772304346254835387 (pp34)
 r2=153035656040987403351342595123255826350566036576525990862976621 (pp63)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 5.27 hours.
Scaled time: 10.85 units (timescale=2.061).
Factorization parameters were as follows:
name: 33323_176
n:  276459657011429180001074993699163435386122326088287039782205730879147405298007891819977184487327
m:  7270742535391886045873
deg: 4
c4: 98927424
c3: -220817536882
c2: -305399355344212621
c1: 1080194549005933226
c0: 312826638057463280206548
skew: 1635.250
type: gnfs
# adj. I(F,S) = 53.910
# E(F1,F2) = 3.310879e-005
# GGNFS version 0.77.1-VC8(Sat 01/17/2009) polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1419006290.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1380001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 189052 x 189283
Polynomial selection time: 0.17 hours.
Total sieving time: 4.96 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,95,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 5.27 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 19:44:35 UTC 2014 年 12 月 20 日 (土) 4 時 44 分 35 秒 (日本時間)

10177-313

c144

name 名前Serge Batalov
date 日付December 21, 2014 01:53:50 UTC 2014 年 12 月 21 日 (日) 10 時 53 分 50 秒 (日本時間)
composite number 合成数
120355226625029225176990372304657859274544937598957342600991319564598200473209270087183413251506043222552499046803972550442052855698166691784147<144>
prime factors 素因数
415933109461010259089921671867396399<36>
composite cofactor 合成数の残り
289361976450954726574950108892970796709693329202980210074585521415187457734025484031976468780146514470225053<108>
factorization results 素因数分解の結果
Input number is 120355226625029225176990372304657859274544937598957342600991319564598200473209270087183413251506043222552499046803972550442052855698166691784147 (144 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3874399147
Step 1 took 10860ms
Step 2 took 8829ms
********** Factor found in step 2: 415933109461010259089921671867396399
Found probable prime factor of 36 digits: 415933109461010259089921671867396399
Composite cofactor 289361976450954726574950108892970796709693329202980210074585521415187457734025484031976468780146514470225053 has 108 digits

c108

name 名前Cyp
date 日付December 23, 2014 10:08:03 UTC 2014 年 12 月 23 日 (火) 19 時 8 分 3 秒 (日本時間)
composite number 合成数
289361976450954726574950108892970796709693329202980210074585521415187457734025484031976468780146514470225053<108>
prime factors 素因数
1323112283437195420934569080380657075611766082745829<52>
218697974520535059946161137562589521573134059278219143257<57>
factorization results 素因数分解の結果
12/23/14 09:04:50 v1.34.3, 
12/23/14 09:04:50 v1.34.3, ****************************
12/23/14 09:04:50 v1.34.3, Starting factorization of 289361976450954726574950108892970796709693329202980210074585521415187457734025484031976468780146514470225053
12/23/14 09:04:50 v1.34.3, using pretesting plan: none
12/23/14 09:04:50 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/23/14 09:04:50 v1.34.3, ****************************
12/23/14 09:04:50 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C108
12/23/14 09:04:50 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C108
12/23/14 09:04:50 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C108
12/23/14 09:04:50 v1.34.3, final ECM pretested depth: 0.00
12/23/14 09:04:50 v1.34.3, scheduler: switching to sieve method
12/23/14 09:04:50 v1.34.3, nfs: commencing nfs on c108: 289361976450954726574950108892970796709693329202980210074585521415187457734025484031976468780146514470225053
12/23/14 09:04:50 v1.34.3, nfs: commencing poly selection with 8 threads
12/23/14 09:04:50 v1.34.3, nfs: setting deadline of 344 seconds
12/23/14 09:11:13 v1.34.3, nfs: completed 22 ranges of size 250 in 383.1099 seconds
12/23/14 09:11:13 v1.34.3, nfs: best poly = # norm 8.870319e-15 alpha -4.607819 e 3.705e-09 rroots 4
12/23/14 09:11:13 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 09:20:18 v1.34.3, nfs: commencing lattice sieving with 8 threads
[6 lines snipped]
12/23/14 10:24:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 10:30:39 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 10:36:51 v1.34.3, nfs: commencing msieve filtering
12/23/14 10:38:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 10:47:57 v1.34.3, nfs: commencing msieve filtering
12/23/14 10:49:52 v1.34.3, nfs: commencing msieve linear algebra
12/23/14 11:04:41 v1.34.3, nfs: commencing msieve sqrt
12/23/14 11:08:02 v1.34.3, prp52 = 1323112283437195420934569080380657075611766082745829
12/23/14 11:08:02 v1.34.3, prp57 = 218697974520535059946161137562589521573134059278219143257
12/23/14 11:08:02 v1.34.3, NFS elapsed time = 7392.7057 seconds.
12/23/14 11:08:02 v1.34.3, 
12/23/14 11:08:02 v1.34.3, 
12/23/14 11:08:02 v1.34.3, Total factoring time = 7392.7461 seconds
--
Tue Dec 23 10:36:51 2014  
Tue Dec 23 10:36:51 2014  commencing relation filtering
Tue Dec 23 10:36:51 2014  estimated available RAM is 15987.3 MB
Tue Dec 23 10:36:51 2014  commencing duplicate removal, pass 1
Tue Dec 23 10:37:11 2014  found 432873 hash collisions in 4861779 relations
Tue Dec 23 10:37:18 2014  added 160428 free relations
Tue Dec 23 10:37:18 2014  commencing duplicate removal, pass 2
Tue Dec 23 10:37:24 2014  found 149388 duplicates and 4872819 unique relations
Tue Dec 23 10:37:24 2014  memory use: 20.6 MB
Tue Dec 23 10:37:24 2014  reading ideals above 100000
Tue Dec 23 10:37:24 2014  commencing singleton removal, initial pass
Tue Dec 23 10:38:04 2014  memory use: 172.2 MB
Tue Dec 23 10:38:04 2014  reading all ideals from disk
Tue Dec 23 10:38:04 2014  memory use: 162.0 MB
Tue Dec 23 10:38:04 2014  keeping 5729441 ideals with weight <= 200, target excess is 45444
Tue Dec 23 10:38:05 2014  commencing in-memory singleton removal
Tue Dec 23 10:38:05 2014  begin with 4872819 relations and 5729441 unique ideals
Tue Dec 23 10:38:10 2014  reduce to 1244332 relations and 1330654 ideals in 35 passes
Tue Dec 23 10:38:10 2014  max relations containing the same ideal: 81
Tue Dec 23 10:47:57 2014  
Tue Dec 23 10:47:57 2014  commencing relation filtering
Tue Dec 23 10:47:57 2014  estimated available RAM is 15987.3 MB
Tue Dec 23 10:47:57 2014  commencing duplicate removal, pass 1
Tue Dec 23 10:48:30 2014  found 535767 hash collisions in 5508173 relations
Tue Dec 23 10:48:37 2014  added 1059 free relations
Tue Dec 23 10:48:37 2014  commencing duplicate removal, pass 2
Tue Dec 23 10:48:44 2014  found 178780 duplicates and 5330452 unique relations
Tue Dec 23 10:48:44 2014  memory use: 20.6 MB
Tue Dec 23 10:48:44 2014  reading ideals above 100000
Tue Dec 23 10:48:44 2014  commencing singleton removal, initial pass
Tue Dec 23 10:49:28 2014  memory use: 172.2 MB
Tue Dec 23 10:49:28 2014  reading all ideals from disk
Tue Dec 23 10:49:28 2014  memory use: 177.4 MB
Tue Dec 23 10:49:28 2014  keeping 5916138 ideals with weight <= 200, target excess is 50095
Tue Dec 23 10:49:29 2014  commencing in-memory singleton removal
Tue Dec 23 10:49:29 2014  begin with 5330452 relations and 5916138 unique ideals
Tue Dec 23 10:49:33 2014  reduce to 1939742 relations and 1878716 ideals in 21 passes
Tue Dec 23 10:49:33 2014  max relations containing the same ideal: 104
Tue Dec 23 10:49:34 2014  relations with 0 large ideals: 646
Tue Dec 23 10:49:34 2014  relations with 1 large ideals: 3539
Tue Dec 23 10:49:34 2014  relations with 2 large ideals: 25413
Tue Dec 23 10:49:34 2014  relations with 3 large ideals: 126145
Tue Dec 23 10:49:34 2014  relations with 4 large ideals: 355671
Tue Dec 23 10:49:34 2014  relations with 5 large ideals: 590776
Tue Dec 23 10:49:34 2014  relations with 6 large ideals: 511277
Tue Dec 23 10:49:34 2014  relations with 7+ large ideals: 326275
Tue Dec 23 10:49:34 2014  commencing 2-way merge
Tue Dec 23 10:49:35 2014  reduce to 1067148 relation sets and 1006529 unique ideals
Tue Dec 23 10:49:35 2014  ignored 407 oversize relation sets
Tue Dec 23 10:49:35 2014  commencing full merge
Tue Dec 23 10:49:47 2014  memory use: 95.5 MB
Tue Dec 23 10:49:47 2014  found 485013 cycles, need 484729
Tue Dec 23 10:49:47 2014  weight of 484729 cycles is about 34160864 (70.47/cycle)
Tue Dec 23 10:49:47 2014  distribution of cycle lengths:
Tue Dec 23 10:49:47 2014  1 relations: 58648
Tue Dec 23 10:49:47 2014  2 relations: 58779
Tue Dec 23 10:49:47 2014  3 relations: 57378
Tue Dec 23 10:49:47 2014  4 relations: 50008
Tue Dec 23 10:49:47 2014  5 relations: 43151
Tue Dec 23 10:49:47 2014  6 relations: 35856
Tue Dec 23 10:49:47 2014  7 relations: 30750
Tue Dec 23 10:49:47 2014  8 relations: 25435
Tue Dec 23 10:49:47 2014  9 relations: 20955
Tue Dec 23 10:49:47 2014  10+ relations: 103769
Tue Dec 23 10:49:47 2014  heaviest cycle: 28 relations
Tue Dec 23 10:49:47 2014  commencing cycle optimization
Tue Dec 23 10:49:48 2014  start with 3113490 relations
Tue Dec 23 10:49:52 2014  pruned 63544 relations
Tue Dec 23 10:49:52 2014  memory use: 104.8 MB
Tue Dec 23 10:49:52 2014  distribution of cycle lengths:
Tue Dec 23 10:49:52 2014  1 relations: 58648
Tue Dec 23 10:49:52 2014  2 relations: 60035
Tue Dec 23 10:49:52 2014  3 relations: 59180
Tue Dec 23 10:49:52 2014  4 relations: 50861
Tue Dec 23 10:49:52 2014  5 relations: 43787
Tue Dec 23 10:49:52 2014  6 relations: 36186
Tue Dec 23 10:49:52 2014  7 relations: 30746
Tue Dec 23 10:49:52 2014  8 relations: 25178
Tue Dec 23 10:49:52 2014  9 relations: 20559
Tue Dec 23 10:49:52 2014  10+ relations: 99549
Tue Dec 23 10:49:52 2014  heaviest cycle: 28 relations
Tue Dec 23 10:49:52 2014  RelProcTime: 115
Tue Dec 23 10:49:52 2014  
Tue Dec 23 10:49:52 2014  commencing linear algebra
Tue Dec 23 10:49:52 2014  read 484729 cycles
Tue Dec 23 10:49:53 2014  cycles contain 1773886 unique relations
Tue Dec 23 10:50:04 2014  read 1773886 relations
Tue Dec 23 10:50:06 2014  using 20 quadratic characters above 67108838
Tue Dec 23 10:50:14 2014  building initial matrix
Tue Dec 23 10:50:33 2014  memory use: 216.7 MB
Tue Dec 23 10:50:33 2014  read 484729 cycles
Tue Dec 23 10:50:33 2014  matrix is 484535 x 484729 (145.9 MB) with weight 45821906 (94.53/col)
Tue Dec 23 10:50:33 2014  sparse part has weight 32916024 (67.91/col)
Tue Dec 23 10:50:37 2014  filtering completed in 2 passes
Tue Dec 23 10:50:37 2014  matrix is 483306 x 483500 (145.8 MB) with weight 45757426 (94.64/col)
Tue Dec 23 10:50:37 2014  sparse part has weight 32893406 (68.03/col)
Tue Dec 23 10:50:39 2014  matrix starts at (0, 0)
Tue Dec 23 10:50:39 2014  matrix is 483306 x 483500 (145.8 MB) with weight 45757426 (94.64/col)
Tue Dec 23 10:50:39 2014  sparse part has weight 32893406 (68.03/col)
Tue Dec 23 10:50:39 2014  saving the first 48 matrix rows for later
Tue Dec 23 10:50:39 2014  matrix includes 64 packed rows
Tue Dec 23 10:50:39 2014  matrix is 483258 x 483500 (140.1 MB) with weight 36387616 (75.26/col)
Tue Dec 23 10:50:39 2014  sparse part has weight 31887549 (65.95/col)
Tue Dec 23 10:50:39 2014  using block size 65536 for processor cache size 8192 kB
Tue Dec 23 10:50:41 2014  commencing Lanczos iteration (8 threads)
Tue Dec 23 10:50:41 2014  memory use: 133.7 MB
Tue Dec 23 10:51:03 2014  linear algebra at 2.5%, ETA 0h14m
Tue Dec 23 11:04:41 2014  lanczos halted after 7643 iterations (dim = 483258)
Tue Dec 23 11:04:41 2014  recovered 33 nontrivial dependencies
Tue Dec 23 11:04:41 2014  BLanczosTime: 889
Tue Dec 23 11:04:41 2014  
Tue Dec 23 11:04:41 2014  commencing square root phase
Tue Dec 23 11:04:41 2014  reading relations for dependency 1
Tue Dec 23 11:04:41 2014  read 241930 cycles
Tue Dec 23 11:04:42 2014  cycles contain 887226 unique relations
Tue Dec 23 11:04:51 2014  read 887226 relations
Tue Dec 23 11:04:55 2014  multiplying 887226 relations
Tue Dec 23 11:05:32 2014  multiply complete, coefficients have about 39.94 million bits
Tue Dec 23 11:05:32 2014  initial square root is modulo 543203
Tue Dec 23 11:06:24 2014  GCD is N, no factor found
Tue Dec 23 11:06:24 2014  reading relations for dependency 2
Tue Dec 23 11:06:24 2014  read 241739 cycles
Tue Dec 23 11:06:25 2014  cycles contain 885662 unique relations
Tue Dec 23 11:06:34 2014  read 885662 relations
Tue Dec 23 11:06:37 2014  multiplying 885662 relations
Tue Dec 23 11:07:10 2014  multiply complete, coefficients have about 39.88 million bits
Tue Dec 23 11:07:10 2014  initial square root is modulo 531847
Tue Dec 23 11:08:02 2014  sqrtTime: 201
--
n: 289361976450954726574950108892970796709693329202980210074585521415187457734025484031976468780146514470225053
skew: 2875118.51
c0: 13073034712017176189684756225
c1: -107883609098194023105365
c2: -108890805371273882
c3: 35604146594
c4: 3828
Y0: -93243161391081282056248524
Y1: 36333367747775
rlim: 2920000
alim: 2920000
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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:20:46 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 46 秒 (日本時間)

10178-313

c177

name 名前Robert Backstrom
date 日付December 24, 2014 08:42:36 UTC 2014 年 12 月 24 日 (水) 17 時 42 分 36 秒 (日本時間)
composite number 合成数
144927536231884057971014492753623188405797101449275362318840579710144927536231884057971014492753623188405797101449275362318840579710144927536231884057971014492753623188405797101<177>
prime factors 素因数
27151132782869622562079349481641163635519406338040052077880841000380911801<74>
5337808090398450161561082840945903009200291363388050370661313304599554478130060733641557573535180345301<103>
factorization results 素因数分解の結果
Number: n
N=144927536231884057971014492753623188405797101449275362318840579710144927536231884057971014492753623188405797101449275362318840579710144927536231884057971014492753623188405797101
  ( 177 digits)
SNFS difficulty: 178 digits.
Divisors found:

Wed Dec 24 19:38:56 2014  prp74 factor: 27151132782869622562079349481641163635519406338040052077880841000380911801
Wed Dec 24 19:38:56 2014  prp103 factor: 5337808090398450161561082840945903009200291363388050370661313304599554478130060733641557573535180345301
Wed Dec 24 19:38:56 2014  elapsed time 00:31:55 (Msieve 1.44 - dependency 3)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.266).
Factorization parameters were as follows:
#
#  N = 10^178-31 3(176)23
#
n: 144927536231884057971014492753623188405797101449275362318840579710144927536231884057971014492753623188405797101449275362318840579710144927536231884057971014492753623188405797101
m: 100000000000000000000000000000000000
deg: 5
c5: 1000
c0: -31
skew: 0.50
# Murphy_E = 1.026e-10
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 14450000)
Primes: RFBsize:444757, AFBsize:444423,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 5862112 hash collisions in 33436849 relations (28951026 unique)
Msieve: matrix is 838309 x 838536 (236.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0hrs 20min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 13sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038684] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] Memory: 16059644K/16661464K available (7373K kernel code, 1159K rwdata, 3228K rodata, 1468K init, 1504K bss, 601820K reserved)
[    1.137325] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.13 BogoMIPS (lpj=3600065)
[    0.136532] smpboot: Total of 8 processors activated (57601.04 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:16 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 16 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:37 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 37 秒 (日本時間)

10179-313

c174

name 名前Serge Batalov
date 日付December 21, 2014 01:53:54 UTC 2014 年 12 月 21 日 (日) 10 時 53 分 54 秒 (日本時間)
composite number 合成数
447769882102190042493361811497835032620035911144544595641407967617282126369616126880073792476570440919002906026534843213375781918156620949361704033063328094425712737709836161<174>
prime factors 素因数
1167132464784052474374450022691739037<37>
composite cofactor 合成数の残り
383649581870758963427196815020547627914763131839439406461575136187397664388914174654059080223472803487936937336595467934207551737175385653<138>
factorization results 素因数分解の結果
Input number is 447769882102190042493361811497835032620035911144544595641407967617282126369616126880073792476570440919002906026534843213375781918156620949361704033063328094425712737709836161 (174 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=668596639
Step 1 took 14416ms
Step 2 took 9427ms
********** Factor found in step 2: 1167132464784052474374450022691739037
Found probable prime factor of 37 digits: 1167132464784052474374450022691739037
Composite cofactor 383649581870758963427196815020547627914763131839439406461575136187397664388914174654059080223472803487936937336595467934207551737175385653 has 138 digits

c138

name 名前Jo Yeong Uk
date 日付October 8, 2015 13:22:34 UTC 2015 年 10 月 8 日 (木) 22 時 22 分 34 秒 (日本時間)
composite number 合成数
383649581870758963427196815020547627914763131839439406461575136187397664388914174654059080223472803487936937336595467934207551737175385653<138>
prime factors 素因数
2739180062734987594487573811597279421238466353<46>
140060008135316441626432430254018257915574026261827293893937848439560837319739907413150828101<93>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 383649581870758963427196815020547627914763131839439406461575136187397664388914174654059080223472803487936937336595467934207551737175385653 (138 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2837695365
Step 1 took 24857ms
Step 2 took 8581ms
********** Factor found in step 2: 2739180062734987594487573811597279421238466353
Found probable prime factor of 46 digits: 2739180062734987594487573811597279421238466353
Probable prime cofactor 140060008135316441626432430254018257915574026261827293893937848439560837319739907413150828101 has 93 digits
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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:46 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 46 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:03 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 3 秒 (日本時間)
4511e6646 / 4342Pierre JammesMarch 5, 2015 08:20:53 UTC 2015 年 3 月 5 日 (木) 17 時 20 分 53 秒 (日本時間)

10181-313

c155

name 名前Jo Yeong Uk
date 日付January 19, 2016 05:47:07 UTC 2016 年 1 月 19 日 (火) 14 時 47 分 7 秒 (日本時間)
composite number 合成数
22676119668276591438718007530031819095338759893222452098450253224909676810428362082380058134258233594868468143542286425858311217489150403706124158364341357<155>
prime factors 素因数
22807426051063033912053211918492881196485766600929491737635525813944421878389<77>
994242823258860357053675991111585805190355051513367935134286666376607610450713<78>
factorization results 素因数分解の結果
Number: 33323_181
N=22676119668276591438718007530031819095338759893222452098450253224909676810428362082380058134258233594868468143542286425858311217489150403706124158364341357
  ( 155 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=22807426051063033912053211918492881196485766600929491737635525813944421878389
 r2=994242823258860357053675991111585805190355051513367935134286666376607610450713
Version: 
Total time: 46.94 hours.
Scaled time: 244.20 units (timescale=5.202).
Factorization parameters were as follows:
n: 22676119668276591438718007530031819095338759893222452098450253224909676810428362082380058134258233594868468143542286425858311217489150403706124158364341357
m: 1000000000000000000000000000000000000
deg: 5
c5: 10
c0: -31
skew: 1.25
# Murphy_E = 9.181e-11
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3000000, 5200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18098569
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1214202 x 1214450
Total sieving time: 44.10 hours.
Total relation processing time: 1.03 hours.
Matrix solve time: 1.65 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,53,53,2.5,2.5,100000
total time: 46.94 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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:47 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 47 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:03 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 3 秒 (日本時間)
4511e6600 / 4342KTakahashiMay 16, 2015 09:29:03 UTC 2015 年 5 月 16 日 (土) 18 時 29 分 3 秒 (日本時間)

10182-313

c168

name 名前Jo Yeong Uk
date 日付March 2, 2016 01:27:48 UTC 2016 年 3 月 2 日 (水) 10 時 27 分 48 秒 (日本時間)
composite number 合成数
253869015563412368805951366560108401583336934201181717767371355160237904011961406811366022248715848199239173259920116371403736746990181934019257071728125579833326417003<168>
prime factors 素因数
50447430982777209940449906853783074165042258999096451996952084001269698454799249751<83>
5032347745320934925908597573000578434127767770336370780465032209171414476141298730253<85>
factorization results 素因数分解の結果
Number: 33323_182
N=253869015563412368805951366560108401583336934201181717767371355160237904011961406811366022248715848199239173259920116371403736746990181934019257071728125579833326417003
  ( 168 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=50447430982777209940449906853783074165042258999096451996952084001269698454799249751
 r2=5032347745320934925908597573000578434127767770336370780465032209171414476141298730253
Version: 
Total time: 55.11 hours.
Scaled time: 281.23 units (timescale=5.103).
Factorization parameters were as follows:
n: 253869015563412368805951366560108401583336934201181717767371355160237904011961406811366022248715848199239173259920116371403736746990181934019257071728125579833326417003
m: 1000000000000000000000000000000000000
deg: 5
c5: 100
c0: -31
skew: 0.79
# Murphy_E = 7.852e-11
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3200000, 5800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18453268
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1290861 x 1291109
Total sieving time: 51.98 hours.
Total relation processing time: 1.24 hours.
Matrix solve time: 1.81 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,53,53,2.5,2.5,100000
total time: 55.11 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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:47 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 47 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:03 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 3 秒 (日本時間)
4511e6600 / 4342KTakahashiMay 19, 2015 22:20:38 UTC 2015 年 5 月 20 日 (水) 7 時 20 分 38 秒 (日本時間)

10183-313

c178

name 名前Serge Batalov
date 日付December 21, 2014 01:53:58 UTC 2014 年 12 月 21 日 (日) 10 時 53 分 58 秒 (日本時間)
composite number 合成数
1430633584695654164359770011344924326636537523372976189965249910227742560347701186424431788105998503557270408345744079680568133209154338181750551866905296348593901781281876304559<178>
prime factors 素因数
128096199250916565683734114999<30>
11168431171742338511316951441155321446002263463463610848486106116909439510665831415811209616979636012865345691623734585123445107217643960302018410441<149>
factorization results 素因数分解の結果
Input number is 1430633584695654164359770011344924326636537523372976189965249910227742560347701186424431788105998503557270408345744079680568133209154338181750551866905296348593901781281876304559 (178 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=899884289
Step 1 took 13822ms
Step 2 took 9647ms
********** Factor found in step 2: 128096199250916565683734114999
Found probable prime factor of 30 digits: 128096199250916565683734114999
Probable prime cofactor 11168431171742338511316951441155321446002263463463610848486106116909439510665831415811209616979636012865345691623734585123445107217643960302018410441 has 149 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:20:48 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 48 秒 (日本時間)

10184-313

c179

name 名前Jo Yeong Uk
date 日付March 10, 2016 01:05:07 UTC 2016 年 3 月 10 日 (木) 10 時 5 分 7 秒 (日本時間)
composite number 合成数
38018332439902520995624089936167219833403667248347152997175237899715242690025130117742775566378107523447806532309879824051157468131132832251711775418106611007827974649375929072999<179>
prime factors 素因数
19554274050626162477622489716817617816473397167283<50>
252506086050094959761050662355156149930955669254091471<54>
7699801269402892729080479691491486199684450344554093189694785684136856089843<76>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 38018332439902520995624089936167219833403667248347152997175237899715242690025130117742775566378107523447806532309879824051157468131132832251711775418106611007827974649375929072999 (179 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=6489215060
Step 1 took 33962ms
Step 2 took 10908ms
********** Factor found in step 2: 252506086050094959761050662355156149930955669254091471
Found probable prime factor of 54 digits: 252506086050094959761050662355156149930955669254091471
Composite cofactor 150564024157263370927242211126832838372067328015344136639901701332837538684572429006751350093026595186097902304717103948206569 has 126 digits

Number: 33323_184
N=150564024157263370927242211126832838372067328015344136639901701332837538684572429006751350093026595186097902304717103948206569
  ( 126 digits)
Divisors found:
 r1=19554274050626162477622489716817617816473397167283
 r2=7699801269402892729080479691491486199684450344554093189694785684136856089843
Version: 
Total time: 38.52 hours.
Scaled time: 202.58 units (timescale=5.259).
Factorization parameters were as follows:
name: 33323_184
n: 150564024157263370927242211126832838372067328015344136639901701332837538684572429006751350093026595186097902304717103948206569
skew: 71715.45
# norm 8.06e+16
c5: 146760
c4: 10360360030
c3: -3623771441352319
c2: -54899387726821903233
c1: 6056408853911999708556231
c0: 103522682087420285152029614355
# alpha -5.49
Y1: 108173710776593
Y0: -1005129552698957544653086
# Murphy_E 1.45e-10
# M 53139674273909594920801594966073174475545053929005655671328035324853919657540628580395121705054320341526354319955421882529634
type: gnfs
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved algebraic special-q in [3400000, 7000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18309194
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1214819 x 1215067
Polynomial selection time: 5.98 hours.
Total sieving time: 29.26 hours.
Total relation processing time: 1.55 hours.
Matrix solve time: 1.57 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
gnfs,125,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6800000,6800000,28,28,54,54,2.5,2.5,100000
total time: 38.52 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365468k/51380224k available (5397k kernel code, 1086460k absent, 928296k reserved, 7011k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.82 BogoMIPS (lpj=3399914)
Total of 12 processors activated (81597.93 BogoMIPS).
software ソフトウェア
GMP-ECM v6.4.4 / 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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:48 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 48 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:04 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 4 秒 (日本時間)
4511e6600 / 4342KTakahashiMay 28, 2015 08:56:02 UTC 2015 年 5 月 28 日 (木) 17 時 56 分 2 秒 (日本時間)

10185-313

c136

name 名前Jo Yeong Uk
date 日付July 27, 2016 00:14:24 UTC 2016 年 7 月 27 日 (水) 9 時 14 分 24 秒 (日本時間)
composite number 合成数
2027545360186846215458548294438135087313844235758868852671839862421741023614135414786817201993991638828600193463706865365908074973024069<136>
prime factors 素因数
526604380140770858205982781587475308646207837922788519<54>
3850225020241659849226818832595457416657304569304995529262282321138471743742758451<82>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 2027545360186846215458548294438135087313844235758868852671839862421741023614135414786817201993991638828600193463706865365908074973024069 (136 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=6275291276
Step 1 took 27031ms
Step 2 took 8597ms
********** Factor found in step 2: 526604380140770858205982781587475308646207837922788519
Found probable prime factor of 54 digits: 526604380140770858205982781587475308646207837922788519
Probable prime cofactor 3850225020241659849226818832595457416657304569304995529262282321138471743742758451 has 82 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:48 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 48 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:04 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 4 秒 (日本時間)
4511e6600 / 4342Pierre JammesMarch 6, 2015 07:58:42 UTC 2015 年 3 月 6 日 (金) 16 時 58 分 42 秒 (日本時間)

10186-313

c155

name 名前KTakahashi
date 日付May 31, 2015 23:03:18 UTC 2015 年 6 月 1 日 (月) 8 時 3 分 18 秒 (日本時間)
composite number 合成数
25453921010294548106879262122358496520180014661446660415714416599067554529011922039089753176094973905321828137861494393979422938607983135317110131399872309<155>
prime factors 素因数
36758927264731967879313938621403541728041617<44>
composite cofactor 合成数の残り
692455490525592420888769468328278767870502233730133687682426297565688160154969099320076250259082089302599013477<111>
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 25453921010294548106879262122358496520180014661446660415714416599067554529011922039089753176094973905321828137861494393979422938607983135317110131399872309 (155 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1820081151
Step 1 took 50295ms
Step 2 took 20966ms
********** Factor found in step 2: 36758927264731967879313938621403541728041617
Found probable prime factor of 44 digits: 36758927264731967879313938621403541728041617
Composite cofactor 692455490525592420888769468328278767870502233730133687682426297565688160154969099320076250259082089302599013477 has 111 digits

c111

name 名前KTakahashi
date 日付June 2, 2015 10:51:25 UTC 2015 年 6 月 2 日 (火) 19 時 51 分 25 秒 (日本時間)
composite number 合成数
692455490525592420888769468328278767870502233730133687682426297565688160154969099320076250259082089302599013477<111>
prime factors 素因数
1103160864538222185743164686834224610762954186693297541<55>
627701283452845245346728805064124098929146766901498272097<57>
factorization results 素因数分解の結果
Number: 33323_186
N=692455490525592420888769468328278767870502233730133687682426297565688160154969099320076250259082089302599013477
  ( 111 digits)
Divisors found:
 r1=1103160864538222185743164686834224610762954186693297541 (pp55)
 r2=627701283452845245346728805064124098929146766901498272097 (pp57)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 24.49 hours.
Scaled time: 41.54 units (timescale=1.696).
Factorization parameters were as follows:
name: 33323_186
n: 692455490525592420888769468328278767870502233730133687682426297565688160154969099320076250259082089302599013477
skew: 17986.02
# norm 1.57e+014
c5: 14040
c4: 269728029
c3: -16220279125060
c2: -97224795998495238
c1: 2190627423018578476862
c0: -1889229249357187559377297
# alpha -3.85
Y1: 764374212739
Y0: -2180742392899161791340
# Murphy_E 8.61e-010
# M 298455864231720514840873221963485205159882157616252077532699681183514824709876349019862808570268161073859869835
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 491479 x 491710
Polynomial selection time: 1.63 hours.
Total sieving time: 21.83 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.87 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 24.49 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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:49 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 49 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:04 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 4 秒 (日本時間)
4511e6600 / 4342KTakahashiJune 1, 2015 15:46:05 UTC 2015 年 6 月 2 日 (火) 0 時 46 分 5 秒 (日本時間)

10187-313

c170

name 名前LegionMammal978
date 日付February 13, 2017 00:41:00 UTC 2017 年 2 月 13 日 (月) 9 時 41 分 0 秒 (日本時間)
composite number 合成数
35612574892838382094424225140174345210165209427464361303906625033989618855738085891774769084425633693586145329450860332595361377903722558253553976172000988407479957628369<170>
prime factors 素因数
153475359300418095167841448341292179150137010425900138747205187<63>
232040993780174632086257031859282711676350336500105582083618572369019229777008760209097599932684927520183387<108>
factorization results 素因数分解の結果
Sun Feb 12 14:15:24 2017 -> ./msieve -s 33323_187/33323_187.dat -l 33323_187/33323_187.log -i 33323_187/33323_187.ini -nf 33323_187/33323_187.fb -t 6 -nc1
Sun Feb 12 14:15:24 2017  
Sun Feb 12 14:15:24 2017  
Sun Feb 12 14:15:24 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sun Feb 12 14:15:24 2017  random seeds: 5442447d f8427fdd
Sun Feb 12 14:15:24 2017  factoring 35612574892838382094424225140174345210165209427464361303906625033989618855738085891774769084425633693586145329450860332595361377903722558253553976172000988407479957628369 (170 digits)
Sun Feb 12 14:15:25 2017  no P-1/P+1/ECM available, skipping
Sun Feb 12 14:15:25 2017  commencing number field sieve (170-digit input)
Sun Feb 12 14:15:25 2017  R0: -10000000000000000000000000000000000000
Sun Feb 12 14:15:25 2017  R1: 1
Sun Feb 12 14:15:25 2017  A0: -31
Sun Feb 12 14:15:25 2017  A1: 0
Sun Feb 12 14:15:25 2017  A2: 0
Sun Feb 12 14:15:25 2017  A3: 0
Sun Feb 12 14:15:25 2017  A4: 0
Sun Feb 12 14:15:25 2017  A5: 100
Sun Feb 12 14:15:25 2017  skew 0.79, size 4.247e-13, alpha 0.497, combined = 4.914e-11 rroots = 1
Sun Feb 12 14:15:25 2017  
Sun Feb 12 14:15:25 2017  commencing relation filtering
Sun Feb 12 14:15:25 2017  estimated available RAM is 15929.4 MB
Sun Feb 12 14:15:25 2017  commencing duplicate removal, pass 1
Sun Feb 12 14:17:59 2017  found 2912585 hash collisions in 21540751 relations
Sun Feb 12 14:18:18 2017  added 512 free relations
Sun Feb 12 14:18:18 2017  commencing duplicate removal, pass 2
Sun Feb 12 14:18:23 2017  found 2546576 duplicates and 18994687 unique relations
Sun Feb 12 14:18:23 2017  memory use: 98.6 MB
Sun Feb 12 14:18:23 2017  reading ideals above 720000
Sun Feb 12 14:18:23 2017  commencing singleton removal, initial pass
Sun Feb 12 14:20:17 2017  memory use: 689.0 MB
Sun Feb 12 14:20:17 2017  reading all ideals from disk
Sun Feb 12 14:20:17 2017  memory use: 600.8 MB
Sun Feb 12 14:20:18 2017  keeping 21214020 ideals with weight <= 200, target excess is 115970
Sun Feb 12 14:20:19 2017  commencing in-memory singleton removal
Sun Feb 12 14:20:19 2017  begin with 18994687 relations and 21214020 unique ideals
Sun Feb 12 14:20:27 2017  reduce to 7455507 relations and 7254369 ideals in 20 passes
Sun Feb 12 14:20:27 2017  max relations containing the same ideal: 102
Sun Feb 12 14:20:29 2017  removing 461594 relations and 428288 ideals in 33306 cliques
Sun Feb 12 14:20:29 2017  commencing in-memory singleton removal
Sun Feb 12 14:20:30 2017  begin with 6993913 relations and 7254369 unique ideals
Sun Feb 12 14:20:32 2017  reduce to 6967449 relations and 6799426 ideals in 9 passes
Sun Feb 12 14:20:32 2017  max relations containing the same ideal: 97
Sun Feb 12 14:20:34 2017  removing 331980 relations and 298674 ideals in 33306 cliques
Sun Feb 12 14:20:34 2017  commencing in-memory singleton removal
Sun Feb 12 14:20:34 2017  begin with 6635469 relations and 6799426 unique ideals
Sun Feb 12 14:20:37 2017  reduce to 6621498 relations and 6486692 ideals in 9 passes
Sun Feb 12 14:20:37 2017  max relations containing the same ideal: 93
Sun Feb 12 14:20:40 2017  relations with 0 large ideals: 2867
Sun Feb 12 14:20:40 2017  relations with 1 large ideals: 943
Sun Feb 12 14:20:40 2017  relations with 2 large ideals: 17577
Sun Feb 12 14:20:40 2017  relations with 3 large ideals: 134879
Sun Feb 12 14:20:40 2017  relations with 4 large ideals: 558944
Sun Feb 12 14:20:40 2017  relations with 5 large ideals: 1340248
Sun Feb 12 14:20:40 2017  relations with 6 large ideals: 1971389
Sun Feb 12 14:20:40 2017  relations with 7+ large ideals: 2594651
Sun Feb 12 14:20:40 2017  commencing 2-way merge
Sun Feb 12 14:20:42 2017  reduce to 3823046 relation sets and 3688241 unique ideals
Sun Feb 12 14:20:42 2017  ignored 1 oversize relation sets
Sun Feb 12 14:20:42 2017  commencing full merge
Sun Feb 12 14:21:19 2017  memory use: 443.9 MB
Sun Feb 12 14:21:19 2017  found 1952798 cycles, need 1938441
Sun Feb 12 14:21:20 2017  weight of 1938441 cycles is about 135773523 (70.04/cycle)
Sun Feb 12 14:21:20 2017  distribution of cycle lengths:
Sun Feb 12 14:21:20 2017  1 relations: 287930
Sun Feb 12 14:21:20 2017  2 relations: 248088
Sun Feb 12 14:21:20 2017  3 relations: 232893
Sun Feb 12 14:21:20 2017  4 relations: 200448
Sun Feb 12 14:21:20 2017  5 relations: 172451
Sun Feb 12 14:21:20 2017  6 relations: 142767
Sun Feb 12 14:21:20 2017  7 relations: 121185
Sun Feb 12 14:21:20 2017  8 relations: 99455
Sun Feb 12 14:21:20 2017  9 relations: 81444
Sun Feb 12 14:21:20 2017  10+ relations: 351780
Sun Feb 12 14:21:20 2017  heaviest cycle: 26 relations
Sun Feb 12 14:21:20 2017  commencing cycle optimization
Sun Feb 12 14:21:22 2017  start with 11156584 relations
Sun Feb 12 14:21:32 2017  pruned 228362 relations
Sun Feb 12 14:21:32 2017  memory use: 378.9 MB
Sun Feb 12 14:21:32 2017  distribution of cycle lengths:
Sun Feb 12 14:21:32 2017  1 relations: 287930
Sun Feb 12 14:21:32 2017  2 relations: 253123
Sun Feb 12 14:21:32 2017  3 relations: 240037
Sun Feb 12 14:21:32 2017  4 relations: 204059
Sun Feb 12 14:21:32 2017  5 relations: 175262
Sun Feb 12 14:21:32 2017  6 relations: 143612
Sun Feb 12 14:21:32 2017  7 relations: 121014
Sun Feb 12 14:21:32 2017  8 relations: 98440
Sun Feb 12 14:21:32 2017  9 relations: 79933
Sun Feb 12 14:21:32 2017  10+ relations: 335031
Sun Feb 12 14:21:32 2017  heaviest cycle: 26 relations
Sun Feb 12 14:21:33 2017  RelProcTime: 368
Sun Feb 12 14:21:34 2017  elapsed time 00:06:10
Sun Feb 12 14:21:34 2017 LatSieveTime: 1104.52
Sun Feb 12 14:21:34 2017 -> Running matrix solving step ...
Sun Feb 12 14:21:34 2017 -> ./msieve -s 33323_187/33323_187.dat -l 33323_187/33323_187.log -i 33323_187/33323_187.ini -nf 33323_187/33323_187.fb -t 6 -nc2
Sun Feb 12 14:21:34 2017  
Sun Feb 12 14:21:34 2017  
Sun Feb 12 14:21:34 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sun Feb 12 14:21:34 2017  random seeds: 2b5c1566 bf737040
Sun Feb 12 14:21:34 2017  factoring 35612574892838382094424225140174345210165209427464361303906625033989618855738085891774769084425633693586145329450860332595361377903722558253553976172000988407479957628369 (170 digits)
Sun Feb 12 14:21:35 2017  no P-1/P+1/ECM available, skipping
Sun Feb 12 14:21:35 2017  commencing number field sieve (170-digit input)
Sun Feb 12 14:21:35 2017  R0: -10000000000000000000000000000000000000
Sun Feb 12 14:21:35 2017  R1: 1
Sun Feb 12 14:21:35 2017  A0: -31
Sun Feb 12 14:21:35 2017  A1: 0
Sun Feb 12 14:21:35 2017  A2: 0
Sun Feb 12 14:21:35 2017  A3: 0
Sun Feb 12 14:21:35 2017  A4: 0
Sun Feb 12 14:21:35 2017  A5: 100
Sun Feb 12 14:21:35 2017  skew 0.79, size 4.247e-13, alpha 0.497, combined = 4.914e-11 rroots = 1
Sun Feb 12 14:21:35 2017  
Sun Feb 12 14:21:35 2017  commencing linear algebra
Sun Feb 12 14:21:35 2017  read 1938441 cycles
Sun Feb 12 14:21:37 2017  cycles contain 6456074 unique relations
Sun Feb 12 14:22:07 2017  read 6456074 relations
Sun Feb 12 14:22:11 2017  using 20 quadratic characters above 4294917295
Sun Feb 12 14:22:35 2017  building initial matrix
Sun Feb 12 14:23:09 2017  memory use: 783.1 MB
Sun Feb 12 14:23:10 2017  read 1938441 cycles
Sun Feb 12 14:23:10 2017  matrix is 1938261 x 1938441 (582.2 MB) with weight 169905472 (87.65/col)
Sun Feb 12 14:23:10 2017  sparse part has weight 131299353 (67.73/col)
Sun Feb 12 14:23:21 2017  filtering completed in 2 passes
Sun Feb 12 14:23:21 2017  matrix is 1935257 x 1935435 (581.9 MB) with weight 169806749 (87.74/col)
Sun Feb 12 14:23:21 2017  sparse part has weight 131263292 (67.82/col)
Sun Feb 12 14:23:25 2017  matrix starts at (0, 0)
Sun Feb 12 14:23:25 2017  matrix is 1935257 x 1935435 (581.9 MB) with weight 169806749 (87.74/col)
Sun Feb 12 14:23:25 2017  sparse part has weight 131263292 (67.82/col)
Sun Feb 12 14:23:25 2017  saving the first 48 matrix rows for later
Sun Feb 12 14:23:25 2017  matrix includes 64 packed rows
Sun Feb 12 14:23:25 2017  matrix is 1935209 x 1935435 (551.3 MB) with weight 135858471 (70.20/col)
Sun Feb 12 14:23:25 2017  sparse part has weight 125177264 (64.68/col)
Sun Feb 12 14:23:25 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Sun Feb 12 14:23:30 2017  commencing Lanczos iteration (6 threads)
Sun Feb 12 14:23:30 2017  memory use: 442.2 MB
Sun Feb 12 14:23:34 2017  linear algebra at 0.1%, ETA 1h24m
Sun Feb 12 14:23:36 2017  checkpointing every 1220000 dimensions
Sun Feb 12 15:55:08 2017  lanczos halted after 30604 iterations (dim = 1935207)
Sun Feb 12 15:55:09 2017  recovered 39 nontrivial dependencies
Sun Feb 12 15:55:09 2017  BLanczosTime: 5614
Sun Feb 12 15:55:09 2017  elapsed time 01:33:35
Sun Feb 12 15:55:09 2017 -> Running square root step ...
Sun Feb 12 15:55:09 2017 -> ./msieve -s 33323_187/33323_187.dat -l 33323_187/33323_187.log -i 33323_187/33323_187.ini -nf 33323_187/33323_187.fb -t 6 -nc3
Sun Feb 12 15:55:09 2017  
Sun Feb 12 15:55:09 2017  
Sun Feb 12 15:55:09 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sun Feb 12 15:55:09 2017  random seeds: badb130a 051a86dc
Sun Feb 12 15:55:09 2017  factoring 35612574892838382094424225140174345210165209427464361303906625033989618855738085891774769084425633693586145329450860332595361377903722558253553976172000988407479957628369 (170 digits)
Sun Feb 12 15:55:10 2017  no P-1/P+1/ECM available, skipping
Sun Feb 12 15:55:10 2017  commencing number field sieve (170-digit input)
Sun Feb 12 15:55:10 2017  R0: -10000000000000000000000000000000000000
Sun Feb 12 15:55:10 2017  R1: 1
Sun Feb 12 15:55:10 2017  A0: -31
Sun Feb 12 15:55:10 2017  A1: 0
Sun Feb 12 15:55:10 2017  A2: 0
Sun Feb 12 15:55:10 2017  A3: 0
Sun Feb 12 15:55:10 2017  A4: 0
Sun Feb 12 15:55:10 2017  A5: 100
Sun Feb 12 15:55:10 2017  skew 0.79, size 4.247e-13, alpha 0.497, combined = 4.914e-11 rroots = 1
Sun Feb 12 15:55:10 2017  
Sun Feb 12 15:55:10 2017  commencing square root phase
Sun Feb 12 15:55:10 2017  reading relations for dependency 1
Sun Feb 12 15:55:10 2017  read 967560 cycles
Sun Feb 12 15:55:11 2017  cycles contain 3227212 unique relations
Sun Feb 12 15:55:28 2017  read 3227212 relations
Sun Feb 12 15:55:36 2017  multiplying 3227212 relations
Sun Feb 12 15:56:56 2017  multiply complete, coefficients have about 93.41 million bits
Sun Feb 12 15:56:57 2017  initial square root is modulo 5064971
Sun Feb 12 15:58:38 2017  GCD is 1, no factor found
Sun Feb 12 15:58:38 2017  reading relations for dependency 2
Sun Feb 12 15:58:38 2017  read 968458 cycles
Sun Feb 12 15:58:39 2017  cycles contain 3228672 unique relations
Sun Feb 12 15:58:55 2017  read 3228672 relations
Sun Feb 12 15:59:04 2017  multiplying 3228672 relations
Sun Feb 12 16:00:25 2017  multiply complete, coefficients have about 93.45 million bits
Sun Feb 12 16:00:26 2017  initial square root is modulo 5102381
Sun Feb 12 16:02:08 2017  GCD is 1, no factor found
Sun Feb 12 16:02:08 2017  reading relations for dependency 3
Sun Feb 12 16:02:08 2017  read 967764 cycles
Sun Feb 12 16:02:09 2017  cycles contain 3227698 unique relations
Sun Feb 12 16:02:25 2017  read 3227698 relations
Sun Feb 12 16:02:34 2017  multiplying 3227698 relations
Sun Feb 12 16:03:54 2017  multiply complete, coefficients have about 93.42 million bits
Sun Feb 12 16:03:54 2017  initial square root is modulo 5075561
Sun Feb 12 16:05:36 2017  GCD is 1, no factor found
Sun Feb 12 16:05:36 2017  reading relations for dependency 4
Sun Feb 12 16:05:36 2017  read 967100 cycles
Sun Feb 12 16:05:37 2017  cycles contain 3225610 unique relations
Sun Feb 12 16:05:53 2017  read 3225610 relations
Sun Feb 12 16:06:02 2017  multiplying 3225610 relations
Sun Feb 12 16:07:21 2017  multiply complete, coefficients have about 93.36 million bits
Sun Feb 12 16:07:21 2017  initial square root is modulo 5028241
Sun Feb 12 16:09:03 2017  GCD is N, no factor found
Sun Feb 12 16:09:03 2017  reading relations for dependency 5
Sun Feb 12 16:09:03 2017  read 968002 cycles
Sun Feb 12 16:09:04 2017  cycles contain 3228376 unique relations
Sun Feb 12 16:09:20 2017  read 3228376 relations
Sun Feb 12 16:09:29 2017  multiplying 3228376 relations
Sun Feb 12 16:10:52 2017  multiply complete, coefficients have about 93.44 million bits
Sun Feb 12 16:10:52 2017  initial square root is modulo 5094601
Sun Feb 12 16:12:34 2017  sqrtTime: 1044
Sun Feb 12 16:12:34 2017  p63 factor: 153475359300418095167841448341292179150137010425900138747205187
Sun Feb 12 16:12:34 2017  p108 factor: 232040993780174632086257031859282711676350336500105582083618572369019229777008760209097599932684927520183387
Sun Feb 12 16:12:34 2017  elapsed time 00:17:25
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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:49 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 49 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:05 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 5 秒 (日本時間)
4511e6600 / 4342KTakahashiJune 27, 2015 10:06:35 UTC 2015 年 6 月 27 日 (土) 19 時 6 分 35 秒 (日本時間)

10189-313

c150

name 名前Jo Yeong Uk
date 日付June 30, 2018 00:40:10 UTC 2018 年 6 月 30 日 (土) 9 時 40 分 10 秒 (日本時間)
composite number 合成数
860437514880587384482875881102296122249443511609285800717950481543660071674512249512211400476130853134369641743755276887054537189517702064900847778409<150>
prime factors 素因数
6883522624608192257283290570584305989527<40>
59326993503974135030086818589108000551778263465973<50>
2106959815959524030026570733515601575727941264963044164956579<61>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 860437514880587384482875881102296122249443511609285800717950481543660071674512249512211400476130853134369641743755276887054537189517702064900847778409 (150 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4136238606
Step 1 took 25066ms
Step 2 took 9112ms
********** Factor found in step 2: 6883522624608192257283290570584305989527
Found probable prime factor of 40 digits: 6883522624608192257283290570584305989527
Composite cofactor 124999591314565221204070187522954551794735234010035531139902931094750888584716396998869585122651209719588986367 has 111 digits

Number: 33323_189
N=124999591314565221204070187522954551794735234010035531139902931094750888584716396998869585122651209719588986367
  ( 111 digits)
Divisors found:
 r1=59326993503974135030086818589108000551778263465973
 r2=2106959815959524030026570733515601575727941264963044164956579
Version: 
Total time: 6.68 hours.
Scaled time: 35.09 units (timescale=5.250).
Factorization parameters were as follows:
name: 33323_189
n: 124999591314565221204070187522954551794735234010035531139902931094750888584716396998869585122651209719588986367
skew: 33024.89
# norm 2.27e+15
c5: 51600
c4: -2157796622
c3: -156650653286337
c2: 2331805669748130755
c1: 74675604410799026013689
c0: -250871573471370019289350285
# alpha -6.32
Y1: 81287696017
Y0: -1193581353956903753356
# Murphy_E 9.54e-10
# M 42694822140257667740853385206107605150053685303979178760207177920197843534525884291180288275209725124863298983
type: gnfs
rlim: 2000000
alim: 2000000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1000000, 1700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9192342
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 362552 x 362800
Polynomial selection time: 0.76 hours.
Total sieving time: 5.46 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2000000,2000000,27,27,53,53,2.6,2.6,50000
total time: 6.68 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367612k/51380224k available (5516k kernel code, 1086464k absent, 926148k reserved, 6912k data, 1332k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.92 BogoMIPS (lpj=3399960)
Total of 12 processors activated (81599.04 BogoMIPS).
software ソフトウェア
GMP-ECM v6.4.4 / 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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:50 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 50 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:05 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 5 秒 (日本時間)
4511e6498 / 4342CypJuly 5, 2015 14:26:02 UTC 2015 年 7 月 5 日 (日) 23 時 26 分 2 秒 (日本時間)

10190-313

c181

name 名前Kenji Ibusuki
date 日付May 24, 2018 15:55:37 UTC 2018 年 5 月 25 日 (金) 0 時 55 分 37 秒 (日本時間)
composite number 合成数
6133607058551568161191851021411888004228724609133912105524936047317309288573031596643160519255005388769418592829205753437996701224678491207321861430922034462675943308176460521218189<181>
prime factors 素因数
85153497529584636321405926654712528353352378271182834399804114531335816121056892613<83>
72030007415967695132689939044222721960614396063157860411074306136672366544097939598525377797766953<98>
factorization results 素因数分解の結果
Number: 33323_190
N=6133607058551568161191851021411888004228724609133912105524936047317309288573031596643160519255005388769418592829205753437996701224678491207321861430922034462675943308176460521218189
  ( 181 digits)
SNFS difficulty: 190 digits.
Divisors found: (Total dependency: 1)
 r1=85153497529584636321405926654712528353352378271182834399804114531335816121056892613 (pp83)
 r2=72030007415967695132689939044222721960614396063157860411074306136672366544097939598525377797766953 (pp98)
Msieve version: Msieve v. 1.49 (SVN unknown)
GGNFS version: GGNFS-0.77.1-VC8(UTE)
Total time: 283.28 hours (12.48 calendar hours).
Scaled time: 1261.16 units (timescale=4.452).
Factorization parameters were as follows:
n: 6133607058551568161191851021411888004228724609133912105524936047317309288573031596643160519255005388769418592829205753437996701224678491207321861430922034462675943308176460521218189
m: 100000000000000000000000000000000000000
deg: 5
c5: 1
c0: -31
skew: 1.99
# Murphy_E = 4.644e-11
type: snfs
lss: 1
rlim: 10300000
alim: 10300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
relslim: 29300000
qintsize: 5000

Polynomial score was as follows:
skew 1.99, size 4.954e-013, alpha 1.066, combined = 5.222e-011 rroots = 1
Factor base limits: 10300000/10300000
Large primes per side: 3
Large prime bits: 28/28
Sieved special-q in [5150000, 20255001)
Relations: raw-rels:29532925 rels:25864910, finalFF:1440342
Pruned matrix : 1439972 x 1440197
Total sieving time: 274.82 hours (11.13 calendar hours).
Total relation processing time: 0.11 hours.
Total matrix build processing time: 0.02 hours.
Matrix pruned processing time: (N/A)
Matrix solve time: 8.29 hours (1.18 calendar hours).
Total time of square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10300000,10300000,28,28,54,54,2.5,2.5,100000
total time: 283.28 hours (12.48 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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61400300Serge BatalovDecember 20, 2014 21:20:50 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 50 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:05 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 5 秒 (日本時間)
800Dmitry DomanovNovember 21, 2016 11:35:18 UTC 2016 年 11 月 21 日 (月) 20 時 35 分 18 秒 (日本時間)
4511e6400 / 4166Dmitry DomanovJanuary 16, 2017 18:39:41 UTC 2017 年 1 月 17 日 (火) 3 時 39 分 41 秒 (日本時間)

10191-313

c144

name 名前Serge Batalov
date 日付December 21, 2014 01:54:01 UTC 2014 年 12 月 21 日 (日) 10 時 54 分 1 秒 (日本時間)
composite number 合成数
198426923739273143130391980238100505651219119551937684179711957551210526262530884950612252674076732830858538719354327426308475839762729125202077<144>
prime factors 素因数
568241726809602035287936279829<30>
composite cofactor 合成数の残り
349194566990605879905601739334056134652941022516820087087533348895659600701965553282905840893992488945295112996713<114>
factorization results 素因数分解の結果
Input number is 198426923739273143130391980238100505651219119551937684179711957551210526262530884950612252674076732830858538719354327426308475839762729125202077 (144 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3372290105
Step 1 took 9206ms
Step 2 took 7144ms
********** Factor found in step 2: 568241726809602035287936279829
Found probable prime factor of 30 digits: 568241726809602035287936279829
Composite cofactor 349194566990605879905601739334056134652941022516820087087533348895659600701965553282905840893992488945295112996713 has 114 digits

c114

name 名前Cyp
date 日付December 23, 2014 22:00:42 UTC 2014 年 12 月 24 日 (水) 7 時 0 分 42 秒 (日本時間)
composite number 合成数
349194566990605879905601739334056134652941022516820087087533348895659600701965553282905840893992488945295112996713<114>
prime factors 素因数
231992395378545879369702639977931869626212628957527731039<57>
1505198333854087126394790107727952633767544141563118438967<58>
factorization results 素因数分解の結果
12/23/14 17:35:06 v1.34.3, 
12/23/14 17:35:06 v1.34.3, ****************************
12/23/14 17:35:06 v1.34.3, Starting factorization of 349194566990605879905601739334056134652941022516820087087533348895659600701965553282905840893992488945295112996713
12/23/14 17:35:06 v1.34.3, using pretesting plan: none
12/23/14 17:35:06 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/23/14 17:35:06 v1.34.3, ****************************
12/23/14 17:35:06 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C114
12/23/14 17:35:06 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C114
12/23/14 17:35:06 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C114
12/23/14 17:35:06 v1.34.3, final ECM pretested depth: 0.00
12/23/14 17:35:06 v1.34.3, scheduler: switching to sieve method
12/23/14 17:35:06 v1.34.3, nfs: commencing nfs on c114: 349194566990605879905601739334056134652941022516820087087533348895659600701965553282905840893992488945295112996713
12/23/14 17:35:06 v1.34.3, nfs: commencing poly selection with 8 threads
12/23/14 17:35:06 v1.34.3, nfs: setting deadline of 775 seconds
12/23/14 17:48:42 v1.34.3, nfs: completed 63 ranges of size 250 in 816.6098 seconds
12/23/14 17:48:42 v1.34.3, nfs: best poly = # norm 8.613102e-11 alpha -6.249452 e 6.469e-10 rroots 5
12/23/14 17:48:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 18:00:41 v1.34.3, nfs: commencing lattice sieving with 8 threads
[19 lines snipped]
12/23/14 21:55:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 22:08:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 22:20:26 v1.34.3, nfs: commencing msieve filtering
12/23/14 22:24:50 v1.34.3, nfs: commencing msieve linear algebra
12/23/14 22:44:03 v1.34.3, nfs: commencing msieve sqrt
12/23/14 23:00:41 v1.34.3, prp58 = 1505198333854087126394790107727952633767544141563118438967
12/23/14 23:00:41 v1.34.3, prp57 = 231992395378545879369702639977931869626212628957527731039
12/23/14 23:00:41 v1.34.3, NFS elapsed time = 19535.6156 seconds.
12/23/14 23:00:41 v1.34.3, 
12/23/14 23:00:41 v1.34.3, 
12/23/14 23:00:41 v1.34.3, Total factoring time = 19535.6575 seconds
--
Tue Dec 23 22:20:26 2014  
Tue Dec 23 22:20:26 2014  commencing relation filtering
Tue Dec 23 22:20:26 2014  estimated available RAM is 15987.3 MB
Tue Dec 23 22:20:26 2014  commencing duplicate removal, pass 1
Tue Dec 23 22:21:30 2014  found 1018496 hash collisions in 10206777 relations
Tue Dec 23 22:21:42 2014  added 62388 free relations
Tue Dec 23 22:21:42 2014  commencing duplicate removal, pass 2
Tue Dec 23 22:21:56 2014  found 428436 duplicates and 9840729 unique relations
Tue Dec 23 22:21:56 2014  memory use: 41.3 MB
Tue Dec 23 22:21:56 2014  reading ideals above 100000
Tue Dec 23 22:21:56 2014  commencing singleton removal, initial pass
Tue Dec 23 22:23:51 2014  memory use: 344.5 MB
Tue Dec 23 22:23:51 2014  reading all ideals from disk
Tue Dec 23 22:23:51 2014  memory use: 338.2 MB
Tue Dec 23 22:23:52 2014  keeping 10598824 ideals with weight <= 200, target excess is 64358
Tue Dec 23 22:23:54 2014  commencing in-memory singleton removal
Tue Dec 23 22:23:55 2014  begin with 9840729 relations and 10598824 unique ideals
Tue Dec 23 22:24:07 2014  reduce to 3732808 relations and 3367118 ideals in 18 passes
Tue Dec 23 22:24:07 2014  max relations containing the same ideal: 105
Tue Dec 23 22:24:10 2014  removing 890158 relations and 744641 ideals in 145517 cliques
Tue Dec 23 22:24:10 2014  commencing in-memory singleton removal
Tue Dec 23 22:24:11 2014  begin with 2842650 relations and 3367118 unique ideals
Tue Dec 23 22:24:15 2014  reduce to 2669737 relations and 2440523 ideals in 10 passes
Tue Dec 23 22:24:15 2014  max relations containing the same ideal: 84
Tue Dec 23 22:24:17 2014  removing 672355 relations and 526838 ideals in 145517 cliques
Tue Dec 23 22:24:17 2014  commencing in-memory singleton removal
Tue Dec 23 22:24:17 2014  begin with 1997382 relations and 2440523 unique ideals
Tue Dec 23 22:24:20 2014  reduce to 1856718 relations and 1764930 ideals in 10 passes
Tue Dec 23 22:24:20 2014  max relations containing the same ideal: 66
Tue Dec 23 22:24:21 2014  removing 129549 relations and 112417 ideals in 17132 cliques
Tue Dec 23 22:24:21 2014  commencing in-memory singleton removal
Tue Dec 23 22:24:22 2014  begin with 1727169 relations and 1764930 unique ideals
Tue Dec 23 22:24:24 2014  reduce to 1720798 relations and 1646083 ideals in 8 passes
Tue Dec 23 22:24:24 2014  max relations containing the same ideal: 64
Tue Dec 23 22:24:24 2014  relations with 0 large ideals: 346
Tue Dec 23 22:24:24 2014  relations with 1 large ideals: 3394
Tue Dec 23 22:24:24 2014  relations with 2 large ideals: 27222
Tue Dec 23 22:24:24 2014  relations with 3 large ideals: 118694
Tue Dec 23 22:24:24 2014  relations with 4 large ideals: 305884
Tue Dec 23 22:24:24 2014  relations with 5 large ideals: 473482
Tue Dec 23 22:24:24 2014  relations with 6 large ideals: 445653
Tue Dec 23 22:24:24 2014  relations with 7+ large ideals: 346123
Tue Dec 23 22:24:24 2014  commencing 2-way merge
Tue Dec 23 22:24:26 2014  reduce to 969323 relation sets and 894608 unique ideals
Tue Dec 23 22:24:26 2014  commencing full merge
Tue Dec 23 22:24:42 2014  memory use: 99.7 MB
Tue Dec 23 22:24:42 2014  found 486672 cycles, need 476808
Tue Dec 23 22:24:42 2014  weight of 476808 cycles is about 33520699 (70.30/cycle)
Tue Dec 23 22:24:42 2014  distribution of cycle lengths:
Tue Dec 23 22:24:42 2014  1 relations: 52742
Tue Dec 23 22:24:42 2014  2 relations: 50324
Tue Dec 23 22:24:42 2014  3 relations: 51775
Tue Dec 23 22:24:42 2014  4 relations: 47927
Tue Dec 23 22:24:42 2014  5 relations: 45247
Tue Dec 23 22:24:42 2014  6 relations: 39640
Tue Dec 23 22:24:42 2014  7 relations: 35647
Tue Dec 23 22:24:42 2014  8 relations: 31288
Tue Dec 23 22:24:42 2014  9 relations: 26712
Tue Dec 23 22:24:42 2014  10+ relations: 95506
Tue Dec 23 22:24:42 2014  heaviest cycle: 19 relations
Tue Dec 23 22:24:42 2014  commencing cycle optimization
Tue Dec 23 22:24:44 2014  start with 2887303 relations
Tue Dec 23 22:24:49 2014  pruned 58695 relations
Tue Dec 23 22:24:49 2014  memory use: 98.1 MB
Tue Dec 23 22:24:49 2014  distribution of cycle lengths:
Tue Dec 23 22:24:49 2014  1 relations: 52742
Tue Dec 23 22:24:49 2014  2 relations: 51381
Tue Dec 23 22:24:49 2014  3 relations: 53287
Tue Dec 23 22:24:49 2014  4 relations: 48871
Tue Dec 23 22:24:49 2014  5 relations: 46317
Tue Dec 23 22:24:49 2014  6 relations: 40250
Tue Dec 23 22:24:49 2014  7 relations: 36063
Tue Dec 23 22:24:49 2014  8 relations: 31250
Tue Dec 23 22:24:49 2014  9 relations: 26681
Tue Dec 23 22:24:49 2014  10+ relations: 89966
Tue Dec 23 22:24:49 2014  heaviest cycle: 19 relations
Tue Dec 23 22:24:50 2014  RelProcTime: 264
Tue Dec 23 22:24:50 2014  
Tue Dec 23 22:24:50 2014  commencing linear algebra
Tue Dec 23 22:24:50 2014  read 476808 cycles
Tue Dec 23 22:24:51 2014  cycles contain 1657233 unique relations
Tue Dec 23 22:25:13 2014  read 1657233 relations
Tue Dec 23 22:25:15 2014  using 20 quadratic characters above 134217402
Tue Dec 23 22:25:25 2014  building initial matrix
Tue Dec 23 22:25:48 2014  memory use: 207.4 MB
Tue Dec 23 22:25:49 2014  read 476808 cycles
Tue Dec 23 22:25:49 2014  matrix is 476631 x 476808 (142.8 MB) with weight 45089105 (94.56/col)
Tue Dec 23 22:25:49 2014  sparse part has weight 32199395 (67.53/col)
Tue Dec 23 22:25:55 2014  filtering completed in 2 passes
Tue Dec 23 22:25:55 2014  matrix is 475845 x 476022 (142.8 MB) with weight 45055813 (94.65/col)
Tue Dec 23 22:25:55 2014  sparse part has weight 32188164 (67.62/col)
Tue Dec 23 22:25:57 2014  matrix starts at (0, 0)
Tue Dec 23 22:25:57 2014  matrix is 475845 x 476022 (142.8 MB) with weight 45055813 (94.65/col)
Tue Dec 23 22:25:57 2014  sparse part has weight 32188164 (67.62/col)
Tue Dec 23 22:25:57 2014  saving the first 48 matrix rows for later
Tue Dec 23 22:25:57 2014  matrix includes 64 packed rows
Tue Dec 23 22:25:57 2014  matrix is 475797 x 476022 (137.0 MB) with weight 35661607 (74.92/col)
Tue Dec 23 22:25:57 2014  sparse part has weight 31150050 (65.44/col)
Tue Dec 23 22:25:57 2014  using block size 65536 for processor cache size 8192 kB
Tue Dec 23 22:25:59 2014  commencing Lanczos iteration (8 threads)
Tue Dec 23 22:25:59 2014  memory use: 130.5 MB
Tue Dec 23 22:26:28 2014  linear algebra at 2.6%, ETA 0h18m
Tue Dec 23 22:44:03 2014  lanczos halted after 7526 iterations (dim = 475797)
Tue Dec 23 22:44:03 2014  recovered 32 nontrivial dependencies
Tue Dec 23 22:44:03 2014  BLanczosTime: 1153
Tue Dec 23 22:44:03 2014  
Tue Dec 23 22:44:03 2014  commencing square root phase
Tue Dec 23 22:44:03 2014  reading relations for dependency 1
Tue Dec 23 22:44:03 2014  read 237822 cycles
Tue Dec 23 22:44:04 2014  cycles contain 827402 unique relations
Tue Dec 23 22:44:21 2014  read 827402 relations
Tue Dec 23 22:44:26 2014  multiplying 827402 relations
Tue Dec 23 22:45:14 2014  multiply complete, coefficients have about 34.53 million bits
Tue Dec 23 22:45:14 2014  initial square root is modulo 90841
Tue Dec 23 22:46:19 2014  GCD is 1, no factor found
Tue Dec 23 22:46:19 2014  reading relations for dependency 2
Tue Dec 23 22:46:19 2014  read 237724 cycles
Tue Dec 23 22:46:20 2014  cycles contain 829436 unique relations
Tue Dec 23 22:46:36 2014  read 829436 relations
Tue Dec 23 22:46:41 2014  multiplying 829436 relations
Tue Dec 23 22:47:38 2014  multiply complete, coefficients have about 34.62 million bits
Tue Dec 23 22:47:38 2014  initial square root is modulo 93491
Tue Dec 23 22:48:55 2014  GCD is 1, no factor found
Tue Dec 23 22:48:55 2014  reading relations for dependency 3
Tue Dec 23 22:48:55 2014  read 237583 cycles
Tue Dec 23 22:48:56 2014  cycles contain 827774 unique relations
Tue Dec 23 22:49:13 2014  read 827774 relations
Tue Dec 23 22:49:18 2014  multiplying 827774 relations
Tue Dec 23 22:50:12 2014  multiply complete, coefficients have about 34.55 million bits
Tue Dec 23 22:50:12 2014  initial square root is modulo 91297
Tue Dec 23 22:51:14 2014  GCD is 1, no factor found
Tue Dec 23 22:51:14 2014  reading relations for dependency 4
Tue Dec 23 22:51:14 2014  read 238323 cycles
Tue Dec 23 22:51:14 2014  cycles contain 828808 unique relations
Tue Dec 23 22:51:30 2014  read 828808 relations
Tue Dec 23 22:51:36 2014  multiplying 828808 relations
Tue Dec 23 22:52:32 2014  multiply complete, coefficients have about 34.59 million bits
Tue Dec 23 22:52:32 2014  initial square root is modulo 92557
Tue Dec 23 22:53:47 2014  GCD is N, no factor found
Tue Dec 23 22:53:47 2014  reading relations for dependency 5
Tue Dec 23 22:53:47 2014  read 237815 cycles
Tue Dec 23 22:53:48 2014  cycles contain 827612 unique relations
Tue Dec 23 22:54:04 2014  read 827612 relations
Tue Dec 23 22:54:09 2014  multiplying 827612 relations
Tue Dec 23 22:55:04 2014  multiply complete, coefficients have about 34.54 million bits
Tue Dec 23 22:55:04 2014  initial square root is modulo 91229
Tue Dec 23 22:55:53 2014  GCD is N, no factor found
Tue Dec 23 22:55:53 2014  reading relations for dependency 6
Tue Dec 23 22:55:54 2014  read 237250 cycles
Tue Dec 23 22:55:54 2014  cycles contain 825384 unique relations
Tue Dec 23 22:56:11 2014  read 825384 relations
Tue Dec 23 22:56:16 2014  multiplying 825384 relations
Tue Dec 23 22:57:11 2014  multiply complete, coefficients have about 34.45 million bits
Tue Dec 23 22:57:11 2014  initial square root is modulo 88469
Tue Dec 23 22:58:25 2014  GCD is 1, no factor found
Tue Dec 23 22:58:25 2014  reading relations for dependency 7
Tue Dec 23 22:58:25 2014  read 238196 cycles
Tue Dec 23 22:58:25 2014  cycles contain 829550 unique relations
Tue Dec 23 22:58:42 2014  read 829550 relations
Tue Dec 23 22:58:47 2014  multiplying 829550 relations
Tue Dec 23 22:59:43 2014  multiply complete, coefficients have about 34.62 million bits
Tue Dec 23 22:59:44 2014  initial square root is modulo 93683
Tue Dec 23 23:00:41 2014  sqrtTime: 998
--
n: 349194566990605879905601739334056134652941022516820087087533348895659600701965553282905840893992488945295112996713
skew: 86139.65
c0: -3968711513340535701398996415
c1: 298004933028236745142723
c2: -1150812896356621265
c3: -155126635933371
c4: -146420552
c5: 3120
Y0: -10227811383516152627792
Y1: 335132574553
rlim: 4240000
alim: 4240000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:20:51 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 51 秒 (日本時間)

10192-313

c142

name 名前Serge Batalov
date 日付December 21, 2014 01:54:05 UTC 2014 年 12 月 21 日 (日) 10 時 54 分 5 秒 (日本時間)
composite number 合成数
1231238797465962450979622911281872427624050009100009289358816267536316530616957104513518938029560604600369982728197642019891000553369165644237<142>
prime factors 素因数
525405871358835485962624186243<30>
2343405098008631776077744986253392255182516992890058702162887482743629404194776212327038159814094475254089781359<112>
factorization results 素因数分解の結果
Input number is 1231238797465962450979622911281872427624050009100009289358816267536316530616957104513518938029560604600369982728197642019891000553369165644237 (142 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3072873057
Step 1 took 9205ms
Step 2 took 7114ms
********** Factor found in step 2: 525405871358835485962624186243
Found probable prime factor of 30 digits: 525405871358835485962624186243
Probable prime cofactor 2343405098008631776077744986253392255182516992890058702162887482743629404194776212327038159814094475254089781359 has 112 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:20:51 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 51 秒 (日本時間)

10193-313

c170

name 名前Jo Yeong Uk
date 日付November 4, 2018 10:53:51 UTC 2018 年 11 月 4 日 (日) 19 時 53 分 51 秒 (日本時間)
composite number 合成数
14349973833537152851344032470532939990815440666518372121760836193985273535016410577436283411095134520378408406048578553092431463406473137807521389867771298000388323737789<170>
prime factors 素因数
531089459724817452544752167912934724527168805498109960893226208438486316225126477<81>
27019880682573803007710851956399153968983033038302140682290908701664961224019340128311857<89>
factorization results 素因数分解の結果
Number: 33323_193
N=14349973833537152851344032470532939990815440666518372121760836193985273535016410577436283411095134520378408406048578553092431463406473137807521389867771298000388323737789
  ( 170 digits)
SNFS difficulty: 193 digits.
Divisors found:
 r1=531089459724817452544752167912934724527168805498109960893226208438486316225126477
 r2=27019880682573803007710851956399153968983033038302140682290908701664961224019340128311857
Version: 
Total time: 144.20 hours.
Scaled time: 757.47 units (timescale=5.253).
Factorization parameters were as follows:
n: 14349973833537152851344032470532939990815440666518372121760836193985273535016410577436283411095134520378408406048578553092431463406473137807521389867771298000388323737789
m: 200000000000000000000000000000000000000
deg: 5
c5: 125
c0: -124
skew: 1.0
# Murphy_E = 2.511e-11
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6000000, 11900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 22930826
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2248383 x 2248628
Total sieving time: 132.42 hours.
Total relation processing time: 3.69 hours.
Matrix solve time: 7.92 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
total time: 144.20 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367604k/51380224k available (5540k kernel code, 1086464k absent, 926156k reserved, 6889k data, 1348k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.73 BogoMIPS (lpj=3399865)
Total of 12 processors activated (81596.76 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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61400300Serge BatalovDecember 20, 2014 21:20:51 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 51 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:06 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 6 秒 (日本時間)
800Dmitry DomanovNovember 21, 2016 11:35:45 UTC 2016 年 11 月 21 日 (月) 20 時 35 分 45 秒 (日本時間)
4511e6400 / 4166Dmitry DomanovJanuary 17, 2017 06:54:47 UTC 2017 年 1 月 17 日 (火) 15 時 54 分 47 秒 (日本時間)

10196-313

c191

name 名前Robert Backstrom
date 日付January 1, 2015 18:06:01 UTC 2015 年 1 月 2 日 (金) 3 時 6 分 1 秒 (日本時間)
composite number 合成数
18250739611222744801733090233481711846372574248571423356931539650644342361974219005225186750693071836736183733845814101616468007365998507089499801979475218233218901195970966723426466857569403<191>
prime factors 素因数
565778275954926131823285523534025860272574433678102131<54>
32257759597465928164243293981272869869840759299693932518304964420955899577146985408894629974770236163093138303391457682097746120098250713<137>
factorization results 素因数分解の結果
Number: n
N=18250739611222744801733090233481711846372574248571423356931539650644342361974219005225186750693071836736183733845814101616468007365998507089499801979475218233218901195970966723426466857569403
  ( 191 digits)
SNFS difficulty: 196 digits.
Divisors found:

Fri Jan  2 04:24:03 2015  prp54 factor: 565778275954926131823285523534025860272574433678102131
Fri Jan  2 04:24:03 2015  prp137 factor: 32257759597465928164243293981272869869840759299693932518304964420955899577146985408894629974770236163093138303391457682097746120098250713
Fri Jan  2 04:24:03 2015  elapsed time 01:52:09 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.263).
Factorization parameters were as follows:
#
#  N = 10^196-31 3(194)23
#
n: 18250739611222744801733090233481711846372574248571423356931539650644342361974219005225186750693071836736183733845814101616468007365998507089499801979475218233218901195970966723426466857569403
m: 1000000000000000000000000000000000000000
deg: 5
c5: 10
c0: -31
skew: 1.25
# Murphy_E = 2.225e-11
type: snfs
lss: 1
rlim: 12900000
alim: 12900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 17650000)
Primes: RFBsize:843192, AFBsize:843315,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4353556 hash collisions in 34098135 relations (30921417 unique)
Msieve: matrix is 1531085 x 1531311 (433.3 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 1hrs 41min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 10sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,12900000,12900000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038914] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] Memory: 16059668K/16661464K available (7375K kernel code, 1160K rwdata, 3228K rodata, 1468K init, 1504K bss, 601796K reserved)
[    1.131637] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.29 BogoMIPS (lpj=3600149)
[    0.136791] smpboot: Total of 8 processors activated (57602.38 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:25 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 25 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:47 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 47 秒 (日本時間)

10199-313

c145

name 名前Jo Yeong Uk
date 日付July 22, 2019 01:23:11 UTC 2019 年 7 月 22 日 (月) 10 時 23 分 11 秒 (日本時間)
composite number 合成数
5112130831148465983651896796738143866278964828282069075824029249882620656986330021293732804997405151080408598547682193264355495405170504463202089<145>
prime factors 素因数
17749042231510863322953905519680126946127883710013<50>
288022912136217432929895652393536926926811601563255576488851890451061719401076380561054522197853<96>
factorization results 素因数分解の結果
Number: 33323_199
N=5112130831148465983651896796738143866278964828282069075824029249882620656986330021293732804997405151080408598547682193264355495405170504463202089
  ( 145 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=17749042231510863322953905519680126946127883710013
 r2=288022912136217432929895652393536926926811601563255576488851890451061719401076380561054522197853
Version: 
Total time: 207.07 hours.
Scaled time: 1083.80 units (timescale=5.234).
Factorization parameters were as follows:
n: 5112130831148465983651896796738143866278964828282069075824029249882620656986330021293732804997405151080408598547682193264355495405170504463202089
m: 10000000000000000000000000000000000000000
deg: 5
c5: 1
c0: -310
skew: 3.15
# Murphy_E = 1.313e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8000000, 15600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 37963231
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3060354 x 3060601
Total sieving time: 181.70 hours.
Total relation processing time: 7.59 hours.
Matrix solve time: 16.98 hours.
Time per square root: 0.79 hours.
Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.5,2.5,100000
total time: 207.07 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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61400300Serge BatalovDecember 20, 2014 21:20:52 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 52 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:06 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 6 秒 (日本時間)
800Dmitry DomanovNovember 21, 2016 11:36:06 UTC 2016 年 11 月 21 日 (月) 20 時 36 分 6 秒 (日本時間)
4511e6400 / 4166Dmitry DomanovJanuary 16, 2017 20:27:52 UTC 2017 年 1 月 17 日 (火) 5 時 27 分 52 秒 (日本時間)

10200-313

c172

name 名前Jo Yeong Uk
date 日付October 11, 2019 16:17:50 UTC 2019 年 10 月 12 日 (土) 1 時 17 分 50 秒 (日本時間)
composite number 合成数
7258817417825120547782743852383840057532605323919045712768973078355453882473164556822471427507663638018339960208515218637597502605259734758250371220814551267614058257816549<172>
prime factors 素因数
4637828136328018100132955483773657510567287034350760819707719904816874378241017<79>
1565132903689756007435385073307761388534890602890354095441565807100465602190845300873341278797<94>
factorization results 素因数分解の結果
Number: 33323_200
N=7258817417825120547782743852383840057532605323919045712768973078355453882473164556822471427507663638018339960208515218637597502605259734758250371220814551267614058257816549
  ( 172 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=4637828136328018100132955483773657510567287034350760819707719904816874378241017
 r2=1565132903689756007435385073307761388534890602890354095441565807100465602190845300873341278797
Version: 
Total time: 184.03 hours.
Scaled time: 911.33 units (timescale=4.952).
Factorization parameters were as follows:
n: 7258817417825120547782743852383840057532605323919045712768973078355453882473164556822471427507663638018339960208515218637597502605259734758250371220814551267614058257816549
m: 10000000000000000000000000000000000000000
deg: 5
c5: 1
c0: -31
skew: 1.99
# Murphy_E = 1.784e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8000000, 14600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 37284380
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2986392 x 2986640
Total sieving time: 160.27 hours.
Total relation processing time: 6.48 hours.
Matrix solve time: 15.71 hours.
Time per square root: 1.58 hours.
Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000
total time: 184.03 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367580k/51380224k available (5540k kernel code, 1086464k absent, 926180k reserved, 6889k data, 1348k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.92 BogoMIPS (lpj=3399964)
Total of 12 processors activated (81599.13 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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61400300Serge BatalovDecember 20, 2014 21:20:52 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 52 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:07 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 7 秒 (日本時間)
800Dmitry DomanovNovember 21, 2016 11:36:24 UTC 2016 年 11 月 21 日 (月) 20 時 36 分 24 秒 (日本時間)
4511e6400 / 4166Dmitry DomanovJanuary 17, 2017 06:55:16 UTC 2017 年 1 月 17 日 (火) 15 時 55 分 16 秒 (日本時間)

10201-313

c135

name 名前Erik Branger
date 日付March 20, 2015 07:48:00 UTC 2015 年 3 月 20 日 (金) 16 時 48 分 0 秒 (日本時間)
composite number 合成数
127711247038261238966578948401169512304038173305644240719287252080293139404620768702595946911317690890112396895703653914822967069210383<135>
prime factors 素因数
297650975463111978254218467403152751497360157030909<51>
429063761136870698136592023199130405447612908092717638314056188206733833686755265787<84>
factorization results 素因数分解の結果
Number: 33323_201
N = 127711247038261238966578948401169512304038173305644240719287252080293139404620768702595946911317690890112396895703653914822967069210383 (135 digits)
Divisors found:
r1=297650975463111978254218467403152751497360157030909 (pp51)
r2=429063761136870698136592023199130405447612908092717638314056188206733833686755265787 (pp84)
Version: Msieve v. 1.52 (SVN 958)
Total time: 90.47 hours.
Factorization parameters were as follows:
# Murphy_E = 4.295e-11, selected by Erik Branger
# expecting poly E from 4.68e-011 to > 5.38e-011
n: 127711247038261238966578948401169512304038173305644240719287252080293139404620768702595946911317690890112396895703653914822967069210383
Y0: -106141019562685658897917581
Y1: 303762783899909
c0: -68463191318138841997317424358436160
c1: 495599322877183015543110273262
c2: -296515122611905133680347
c3: -164007513296502118
c4: 34576073998
c5: 9480
skew: 2517588.19
type: gnfs
# selected mechanically
rlim: 12600000
alim: 12600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 12600000/12600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20553521
Relations: 3083186 relations
Pruned matrix : 1835654 x 1835882
Polynomial selection time: 0.00 hours.
Total sieving time: 88.80 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.39 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: gnfs,134,5,65,2000,1e-05,0.28,250,20,50000,3600,12600000,12600000,28,28,54,54,2.6,2.6,100000
total time: 90.47 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
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:54 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 54 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:14 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 14 秒 (日本時間)
4511e61088 / 3916Pierre JammesMarch 7, 2015 08:24:31 UTC 2015 年 3 月 7 日 (土) 17 時 24 分 31 秒 (日本時間)

10202-313

c198

name 名前Bob Backstrom
date 日付April 20, 2021 10:26:34 UTC 2021 年 4 月 20 日 (火) 19 時 26 分 34 秒 (日本時間)
composite number 合成数
916506278068004765832645953624782329758958848868114746586014114196682247273393822747685821647878287966272568967097424617358628906608010264870314361653377325634680597562093300339107322885161763358079<198>
prime factors 素因数
55068550079334875549426069094524726272843<41>
16643007247287859533270214646039821829275773547328698586522825327862646094678384144751709810408101276208307377891345274624608039777088116955595798639704461853<158>
factorization results 素因数分解の結果
#
# N = 10^202-31 = 3(200)23
#
n: 916506278068004765832645953624782329758958848868114746586014114196682247273393822747685821647878287966272568967097424617358628906608010264870314361653377325634680597562093300339107322885161763358079
m: 10000000000000000000000000000000000000000
deg: 5
c5: 100
c0: -31
skew: 0.79
# Murphy_E = 1.174e-11
type: snfs
lss: 1
rlim: 16300000
alim: 16300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 916506278068004765832645953624782329758958848868114746586014114196682247273393822747685821647878287966272568967097424617358628906608010264870314361653377325634680597562093300339107322885161763358079 (198 digits)
Using B1=39250000, B2=192392390206, polynomial Dickson(12), sigma=1:2692634598
Step 1 took 128254ms
Step 2 took 38195ms
********** Factor found in step 2: 55068550079334875549426069094524726272843
Found prime factor of 41 digits: 55068550079334875549426069094524726272843
Prime cofactor 16643007247287859533270214646039821829275773547328698586522825327862646094678384144751709810408101276208307377891345274624608039777088116955595798639704461853 has 158 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:26 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 26 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:48 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 48 秒 (日本時間)

10203-313

c142

name 名前Eric Jeancolas
date 日付April 4, 2020 17:13:58 UTC 2020 年 4 月 5 日 (日) 2 時 13 分 58 秒 (日本時間)
composite number 合成数
7771376428379712351112741956261612379078319515939386684834935942936360534930644495354405412071657981412127264855654587522829124025851351172771<142>
prime factors 素因数
85894055988084736090058832581154169440971<41>
90476300588922723013859325367877027532193383884995838669943292144915460780072083167027179246437105801<101>
factorization results 素因数分解の結果
7771376428379712351112741956261612379078319515939386684834935942936360534930644495354405412071657981412127264855654587522829124025851351172771=85894055988084736090058832581154169440971*90476300588922723013859325367877027532193383884995838669943292144915460780072083167027179246437105801

Info:Square Root: Factors: 85894055988084736090058832581154169440971 90476300588922723013859325367877027532193383884995838669943292144915460780072083167027179246437105801
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66609/43.550/51.100/55.580/0.939
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66609/40.880/46.002/51.840/1.466
Info:Polynomial Selection (size optimized): Total time: 21818.2
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3774.11
Info:Polynomial Selection (root optimized): Rootsieve time: 3772.57
Info:Generate Factor Base: Total cpu/real time for makefb: 43.45/11.3027
Info:Generate Free Relations: Total cpu/real time for freerel: 1507.05/252.183
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 34638807
Info:Lattice Sieving: Average J: 3807.8 for 1236264 special-q, max bucket fill -bkmult 1.0,1s:1.258730
Info:Lattice Sieving: Total time: 401663s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 243.79/625.325
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 622.9000000000001s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1730.88/1799.63
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1579.0999999999997s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1328.64/1406.59
Info:Filtering - Merging: Total cpu/real time for merge: 3316.66/3231.57
Info:Filtering - Merging: Total cpu/real time for replay: 297.34/305.824
Info:Linear Algebra: Total cpu/real time for bwc: 268145/101667
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 86005.64, iteration CPU time 1.1, COMM 0.03, cpu-wait 0.14, comm-wait 0.0 (67000 iterations)
Info:Linear Algebra: Lingen CPU time 5676.99, WCT time 2197.4
Info:Linear Algebra: Mksol: WCT time 11448.99, iteration CPU time 0.3, COMM 0.01, cpu-wait 0.03, comm-wait 0.0 (34000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 94.83/22.9084
Info:Square Root: Total cpu/real time for sqrt: 9946.61/1400.06
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.18507e+06/374931
85894055988084736090058832581154169440971 90476300588922723013859325367877027532193383884995838669943292144915460780072083167027179246437105801
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 18.04 LTS
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:53 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 53 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:07 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 7 秒 (日本時間)
4511e6574 / 4342Pierre JammesApril 16, 2015 13:42:18 UTC 2015 年 4 月 16 日 (木) 22 時 42 分 18 秒 (日本時間)

10205-313

c153

composite cofactor 合成数の残り
627823489017107000420312030439419353568862028849505899420208323118581452043276377525970261738315361918444803477048188871013667753611928306154411385720653<153>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:53 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 53 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:07 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 7 秒 (日本時間)
4511e64978498CypJune 24, 2015 06:04:45 UTC 2015 年 6 月 24 日 (水) 15 時 4 分 45 秒 (日本時間)
4480Ignacio SantosFebruary 9, 2022 21:16:50 UTC 2022 年 2 月 10 日 (木) 6 時 16 分 50 秒 (日本時間)

10206-313

c155

name 名前Cyp
date 日付May 12, 2015 20:23:04 UTC 2015 年 5 月 13 日 (水) 5 時 23 分 4 秒 (日本時間)
composite number 合成数
14468652325341209688779937989571176417363427919713271799796330451641477504350655999978251514237194065414434707947735846792240695617151910119420440971252211<155>
prime factors 素因数
5395751241011064939092562539332865833<37>
2681489875843507064788794717204379217627656255882761258989873949226402299143679328953078572235154812942785264932775867<118>
factorization results 素因数分解の結果
Run 29 out of 498:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4241649838
Step 1 took 50750ms
Step 2 took 16747ms
********** Factor found in step 2: 5395751241011064939092562539332865833
Found probable prime factor of 37 digits: 5395751241011064939092562539332865833
Probable prime cofactor 2681489875843507064788794717204379217627656255882761258989873949226402299143679328953078572235154812942785264932775867 has 118 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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2218300Serge BatalovDecember 20, 2014 21:20:54 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 54 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:08 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 8 秒 (日本時間)
4511e629 / 4342CypMay 12, 2015 20:23:04 UTC 2015 年 5 月 13 日 (水) 5 時 23 分 4 秒 (日本時間)

10207-313

c180

name 名前Cyp
date 日付May 28, 2015 12:11:12 UTC 2015 年 5 月 28 日 (木) 21 時 11 分 12 秒 (日本時間)
composite number 合成数
138983470091248969528774176125660905487089113018293557375651988727090784540247530336507262064171726118530165774459949354229851425121724203271205345903125976936939560675816056678123<180>
prime factors 素因数
2111116105971509143991816753377269792431<40>
composite cofactor 合成数の残り
65834119543742725796399410665000324633651509363946159181983326217899837547771712385950758786649379976774270506387300562071983077680400140933<140>
factorization results 素因数分解の結果
Run 444 out of 498:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3651060700
Step 1 took 58807ms
********** Factor found in step 1: 2111116105971509143991816753377269792431
Found probable prime factor of 40 digits: 2111116105971509143991816753377269792431
Composite cofactor 65834119543742725796399410665000324633651509363946159181983326217899837547771712385950758786649379976774270506387300562071983077680400140933 has 140 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

c140

name 名前Erik Branger
date 日付September 23, 2016 06:14:56 UTC 2016 年 9 月 23 日 (金) 15 時 14 分 56 秒 (日本時間)
composite number 合成数
65834119543742725796399410665000324633651509363946159181983326217899837547771712385950758786649379976774270506387300562071983077680400140933<140>
prime factors 素因数
1884004027890810235826684102025358223093372527219<49>
34943725474645441119148731206265558232572337384310618907066704930224148270100669144233101607<92>
factorization results 素因数分解の結果
Number: 33323_207
N = 65834119543742725796399410665000324633651509363946159181983326217899837547771712385950758786649379976774270506387300562071983077680400140933 (140 digits)
Divisors found:
r1=1884004027890810235826684102025358223093372527219 (pp49)
r2=34943725474645441119148731206265558232572337384310618907066704930224148270100669144233101607 (pp92)
Version: Msieve v. 1.51 (SVN 845)
Total time: 349.76 hours.
Factorization parameters were as follows:
# Murphy_E = 2.099e-11, selected by Erik Branger
# expecting poly E from 2.11e-011 to > 2.42e-011
n: 65834119543742725796399410665000324633651509363946159181983326217899837547771712385950758786649379976774270506387300562071983077680400140933
Y0: -1379537909288111527346630410
Y1: 536717750379827
c0: -14916574804192934575106462371480611
c1: 44106043954914554144657972991
c2: 92944603677199549655248
c3: -56197652692479143
c4: -58541744861
c5: 13176
skew: 1312915.35
type: gnfs
# selected mechanically
rlim: 18000000
alim: 18000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 18000000/18000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23163806
Relations: 3294676 relations
Pruned matrix : 2073667 x 2073892
Polynomial selection time: 0.00 hours.
Total sieving time: 345.27 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 4.01 hours.
time per square root: 0.28 hours.
Prototype def-par.txt line would be: gnfs,139,5,65,2000,1e-05,0.28,250,20,50000,3600,18000000,18000000,28,28,55,55,2.6,2.6,100000
total time: 349.76 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:54 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 54 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:08 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 8 秒 (日本時間)
4511e62498498CypMay 28, 2015 12:11:12 UTC 2015 年 5 月 28 日 (木) 21 時 11 分 12 秒 (日本時間)
2000Rich DickersonNovember 24, 2015 17:37:44 UTC 2015 年 11 月 25 日 (水) 2 時 37 分 44 秒 (日本時間)
5043e61200 / 6969600Rich DickersonNovember 25, 2015 22:23:30 UTC 2015 年 11 月 26 日 (木) 7 時 23 分 30 秒 (日本時間)
600Rich DickersonNovember 25, 2015 22:54:43 UTC 2015 年 11 月 26 日 (木) 7 時 54 分 43 秒 (日本時間)

10208-313

c179

name 名前Serge Batalov
date 日付December 20, 2014 21:39:14 UTC 2014 年 12 月 21 日 (日) 6 時 39 分 14 秒 (日本時間)
composite number 合成数
30980251159723346325984056596794645053289512859036053661662724181244121966704344232536730648134727035175866037812330271830552687486434751918187712108188571949968779488240475672249<179>
prime factors 素因数
1885230249170194431429148965137<31>
10723306476021897321150799982673341<35>
composite cofactor 合成数の残り
1532469417322849764897256421483514850614548800170299479501096072665692174439999703106232751058423060009880883551197<115>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1991235490
Step 1 took 13622ms
Step 2 took 9190ms
********** Factor found in step 2: 10723306476021897321150799982673341
Found probable prime factor of 35 digits: 10723306476021897321150799982673341

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=236112177
Step 1 took 13621ms
********** Factor found in step 1: 1885230249170194431429148965137
Found probable prime factor of 31 digits: 1885230249170194431429148965137

c115

name 名前Serge Batalov
date 日付December 22, 2014 02:42:00 UTC 2014 年 12 月 22 日 (月) 11 時 42 分 0 秒 (日本時間)
composite number 合成数
1532469417322849764897256421483514850614548800170299479501096072665692174439999703106232751058423060009880883551197<115>
prime factors 素因数
2763723888840765934222073300128360711<37>
554494399209191104015682191909397031545743891479159813864781246461579668492027<78>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2794202430
Step 1 took 13701ms
Step 2 took 9169ms
********** Factor found in step 2: 2763723888840765934222073300128360711
Found probable prime factor of 37 digits: 2763723888840765934222073300128360711

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:20:54 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 54 秒 (日本時間)

10209-313

c146

name 名前Serge Batalov
date 日付December 21, 2014 01:54:11 UTC 2014 年 12 月 21 日 (日) 10 時 54 分 11 秒 (日本時間)
composite number 合成数
87191606407857020001063704544364573403763517397657763357792281083952237702292847542482592812122489535653730716502224590037938114933549734318732011<146>
prime factors 素因数
1126289779198883864285785534770107<34>
composite cofactor 合成数の残り
77414896253320652997704343652975967217173989106475347661051295829044848650478358351927729245752173906383083350673<113>
factorization results 素因数分解の結果
Input number is 87191606407857020001063704544364573403763517397657763357792281083952237702292847542482592812122489535653730716502224590037938114933549734318732011 (146 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2804253249
Step 1 took 10904ms
Step 2 took 9070ms
********** Factor found in step 2: 1126289779198883864285785534770107
Found probable prime factor of 34 digits: 1126289779198883864285785534770107
Composite cofactor 77414896253320652997704343652975967217173989106475347661051295829044848650478358351927729245752173906383083350673 has 113 digits

c113

name 名前Cyp
date 日付December 23, 2014 16:35:04 UTC 2014 年 12 月 24 日 (水) 1 時 35 分 4 秒 (日本時間)
composite number 合成数
77414896253320652997704343652975967217173989106475347661051295829044848650478358351927729245752173906383083350673<113>
prime factors 素因数
45700202643189510015160381000157875305823300322275109<53>
1693972712938449895336804497707196807319547255422538884863997<61>
factorization results 素因数分解の結果
12/23/14 13:48:45 v1.34.3, 
12/23/14 13:48:45 v1.34.3, ****************************
12/23/14 13:48:45 v1.34.3, Starting factorization of 77414896253320652997704343652975967217173989106475347661051295829044848650478358351927729245752173906383083350673
12/23/14 13:48:45 v1.34.3, using pretesting plan: none
12/23/14 13:48:45 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/23/14 13:48:45 v1.34.3, ****************************
12/23/14 13:48:45 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C113
12/23/14 13:48:45 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C113
12/23/14 13:48:45 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C113
12/23/14 13:48:45 v1.34.3, final ECM pretested depth: 0.00
12/23/14 13:48:45 v1.34.3, scheduler: switching to sieve method
12/23/14 13:48:45 v1.34.3, nfs: commencing nfs on c113: 77414896253320652997704343652975967217173989106475347661051295829044848650478358351927729245752173906383083350673
12/23/14 13:48:45 v1.34.3, nfs: commencing poly selection with 8 threads
12/23/14 13:48:45 v1.34.3, nfs: setting deadline of 725 seconds
12/23/14 14:00:27 v1.34.3, nfs: completed 65 ranges of size 250 in 702.3115 seconds
12/23/14 14:00:27 v1.34.3, nfs: best poly = # norm 1.058583e-10 alpha -6.341888 e 7.350e-10 rroots 3
12/23/14 14:00:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 14:10:07 v1.34.3, nfs: commencing lattice sieving with 8 threads
[16 lines snipped]
12/23/14 16:56:33 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 17:06:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/23/14 17:17:30 v1.34.3, nfs: commencing msieve filtering
12/23/14 17:20:51 v1.34.3, nfs: commencing msieve linear algebra
12/23/14 17:33:04 v1.34.3, nfs: commencing msieve sqrt
12/23/14 17:35:03 v1.34.3, prp61 = 1693972712938449895336804497707196807319547255422538884863997
12/23/14 17:35:03 v1.34.3, prp53 = 45700202643189510015160381000157875305823300322275109
12/23/14 17:35:03 v1.34.3, NFS elapsed time = 13577.9257 seconds.
12/23/14 17:35:03 v1.34.3, 
12/23/14 17:35:03 v1.34.3, 
12/23/14 17:35:03 v1.34.3, Total factoring time = 13577.9731 seconds
--
Tue Dec 23 17:17:30 2014  
Tue Dec 23 17:17:30 2014  commencing relation filtering
Tue Dec 23 17:17:30 2014  estimated available RAM is 15987.3 MB
Tue Dec 23 17:17:30 2014  commencing duplicate removal, pass 1
Tue Dec 23 17:18:27 2014  found 976575 hash collisions in 10069848 relations
Tue Dec 23 17:18:47 2014  added 62664 free relations
Tue Dec 23 17:18:47 2014  commencing duplicate removal, pass 2
Tue Dec 23 17:19:00 2014  found 393494 duplicates and 9739018 unique relations
Tue Dec 23 17:19:00 2014  memory use: 41.3 MB
Tue Dec 23 17:19:00 2014  reading ideals above 100000
Tue Dec 23 17:19:00 2014  commencing singleton removal, initial pass
Tue Dec 23 17:20:17 2014  memory use: 344.5 MB
Tue Dec 23 17:20:17 2014  reading all ideals from disk
Tue Dec 23 17:20:17 2014  memory use: 333.1 MB
Tue Dec 23 17:20:18 2014  keeping 10477798 ideals with weight <= 200, target excess is 83823
Tue Dec 23 17:20:19 2014  commencing in-memory singleton removal
Tue Dec 23 17:20:20 2014  begin with 9739018 relations and 10477798 unique ideals
Tue Dec 23 17:20:28 2014  reduce to 3654935 relations and 3260956 ideals in 19 passes
Tue Dec 23 17:20:28 2014  max relations containing the same ideal: 107
Tue Dec 23 17:20:29 2014  removing 885831 relations and 737459 ideals in 148372 cliques
Tue Dec 23 17:20:30 2014  commencing in-memory singleton removal
Tue Dec 23 17:20:30 2014  begin with 2769104 relations and 3260956 unique ideals
Tue Dec 23 17:20:32 2014  reduce to 2594304 relations and 2339040 ideals in 12 passes
Tue Dec 23 17:20:32 2014  max relations containing the same ideal: 88
Tue Dec 23 17:20:34 2014  removing 668704 relations and 520332 ideals in 148372 cliques
Tue Dec 23 17:20:34 2014  commencing in-memory singleton removal
Tue Dec 23 17:20:34 2014  begin with 1925600 relations and 2339040 unique ideals
Tue Dec 23 17:20:35 2014  reduce to 1779737 relations and 1663900 ideals in 10 passes
Tue Dec 23 17:20:35 2014  max relations containing the same ideal: 68
Tue Dec 23 17:20:36 2014  removing 134916 relations and 116314 ideals in 18602 cliques
Tue Dec 23 17:20:36 2014  commencing in-memory singleton removal
Tue Dec 23 17:20:36 2014  begin with 1644821 relations and 1663900 unique ideals
Tue Dec 23 17:20:37 2014  reduce to 1637429 relations and 1540109 ideals in 7 passes
Tue Dec 23 17:20:37 2014  max relations containing the same ideal: 63
Tue Dec 23 17:20:37 2014  relations with 0 large ideals: 643
Tue Dec 23 17:20:37 2014  relations with 1 large ideals: 8876
Tue Dec 23 17:20:37 2014  relations with 2 large ideals: 57968
Tue Dec 23 17:20:37 2014  relations with 3 large ideals: 202184
Tue Dec 23 17:20:37 2014  relations with 4 large ideals: 397299
Tue Dec 23 17:20:37 2014  relations with 5 large ideals: 460262
Tue Dec 23 17:20:37 2014  relations with 6 large ideals: 326874
Tue Dec 23 17:20:37 2014  relations with 7+ large ideals: 183323
Tue Dec 23 17:20:37 2014  commencing 2-way merge
Tue Dec 23 17:20:38 2014  reduce to 919558 relation sets and 822238 unique ideals
Tue Dec 23 17:20:38 2014  commencing full merge
Tue Dec 23 17:20:46 2014  memory use: 88.3 MB
Tue Dec 23 17:20:46 2014  found 457382 cycles, need 444438
Tue Dec 23 17:20:46 2014  weight of 444438 cycles is about 31111766 (70.00/cycle)
Tue Dec 23 17:20:46 2014  distribution of cycle lengths:
Tue Dec 23 17:20:46 2014  1 relations: 46468
Tue Dec 23 17:20:46 2014  2 relations: 46165
Tue Dec 23 17:20:46 2014  3 relations: 47180
Tue Dec 23 17:20:46 2014  4 relations: 44282
Tue Dec 23 17:20:46 2014  5 relations: 41781
Tue Dec 23 17:20:46 2014  6 relations: 37377
Tue Dec 23 17:20:46 2014  7 relations: 33275
Tue Dec 23 17:20:46 2014  8 relations: 29704
Tue Dec 23 17:20:46 2014  9 relations: 25768
Tue Dec 23 17:20:46 2014  10+ relations: 92438
Tue Dec 23 17:20:46 2014  heaviest cycle: 19 relations
Tue Dec 23 17:20:47 2014  commencing cycle optimization
Tue Dec 23 17:20:47 2014  start with 2730721 relations
Tue Dec 23 17:20:51 2014  pruned 58224 relations
Tue Dec 23 17:20:51 2014  memory use: 92.5 MB
Tue Dec 23 17:20:51 2014  distribution of cycle lengths:
Tue Dec 23 17:20:51 2014  1 relations: 46468
Tue Dec 23 17:20:51 2014  2 relations: 47129
Tue Dec 23 17:20:51 2014  3 relations: 48582
Tue Dec 23 17:20:51 2014  4 relations: 45344
Tue Dec 23 17:20:51 2014  5 relations: 42684
Tue Dec 23 17:20:51 2014  6 relations: 38037
Tue Dec 23 17:20:51 2014  7 relations: 33817
Tue Dec 23 17:20:51 2014  8 relations: 29896
Tue Dec 23 17:20:51 2014  9 relations: 25659
Tue Dec 23 17:20:51 2014  10+ relations: 86822
Tue Dec 23 17:20:51 2014  heaviest cycle: 19 relations
Tue Dec 23 17:20:51 2014  RelProcTime: 201
Tue Dec 23 17:20:51 2014  
Tue Dec 23 17:20:51 2014  commencing linear algebra
Tue Dec 23 17:20:51 2014  read 444438 cycles
Tue Dec 23 17:20:52 2014  cycles contain 1556870 unique relations
Tue Dec 23 17:21:09 2014  read 1556870 relations
Tue Dec 23 17:21:10 2014  using 20 quadratic characters above 134216504
Tue Dec 23 17:21:17 2014  building initial matrix
Tue Dec 23 17:21:33 2014  memory use: 195.4 MB
Tue Dec 23 17:21:34 2014  read 444438 cycles
Tue Dec 23 17:21:34 2014  matrix is 444260 x 444438 (133.1 MB) with weight 42331477 (95.25/col)
Tue Dec 23 17:21:34 2014  sparse part has weight 29999643 (67.50/col)
Tue Dec 23 17:21:36 2014  filtering completed in 2 passes
Tue Dec 23 17:21:36 2014  matrix is 443322 x 443500 (133.0 MB) with weight 42293199 (95.36/col)
Tue Dec 23 17:21:36 2014  sparse part has weight 29987870 (67.62/col)
Tue Dec 23 17:21:37 2014  matrix starts at (0, 0)
Tue Dec 23 17:21:37 2014  matrix is 443322 x 443500 (133.0 MB) with weight 42293199 (95.36/col)
Tue Dec 23 17:21:37 2014  sparse part has weight 29987870 (67.62/col)
Tue Dec 23 17:21:37 2014  saving the first 48 matrix rows for later
Tue Dec 23 17:21:38 2014  matrix includes 64 packed rows
Tue Dec 23 17:21:38 2014  matrix is 443274 x 443500 (128.0 MB) with weight 33401327 (75.31/col)
Tue Dec 23 17:21:38 2014  sparse part has weight 29126750 (65.67/col)
Tue Dec 23 17:21:38 2014  using block size 65536 for processor cache size 8192 kB
Tue Dec 23 17:21:39 2014  commencing Lanczos iteration (8 threads)
Tue Dec 23 17:21:39 2014  memory use: 121.9 MB
Tue Dec 23 17:22:00 2014  linear algebra at 2.7%, ETA 0h11m
Tue Dec 23 17:33:03 2014  lanczos halted after 7011 iterations (dim = 443272)
Tue Dec 23 17:33:04 2014  recovered 28 nontrivial dependencies
Tue Dec 23 17:33:04 2014  BLanczosTime: 733
Tue Dec 23 17:33:04 2014  
Tue Dec 23 17:33:04 2014  commencing square root phase
Tue Dec 23 17:33:04 2014  reading relations for dependency 1
Tue Dec 23 17:33:04 2014  read 221702 cycles
Tue Dec 23 17:33:04 2014  cycles contain 778692 unique relations
Tue Dec 23 17:33:19 2014  read 778692 relations
Tue Dec 23 17:33:22 2014  multiplying 778692 relations
Tue Dec 23 17:34:07 2014  multiply complete, coefficients have about 33.33 million bits
Tue Dec 23 17:34:07 2014  initial square root is modulo 61001
Tue Dec 23 17:35:03 2014  sqrtTime: 119
--
n: 77414896253320652997704343652975967217173989106475347661051295829044848650478358351927729245752173906383083350673
skew: 41097.71
c0: -638335028399550633213285265
c1: -44826061113287380908653
c2: 1048997164289719717
c3: 18684027609665
c4: -640166844
c5: 12420
Y0: -5740382193041764917492
Y1: 282739540603
rlim: 3980000
alim: 3980000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:20:55 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 55 秒 (日本時間)

10210-313

c200

name 名前Bob Backstrom
date 日付August 9, 2017 04:38:29 UTC 2017 年 8 月 9 日 (水) 13 時 38 分 29 秒 (日本時間)
composite number 合成数
10094970025622255113553283002399318800734271361858905541204546335380458113165793665232733988420362066441458135827598171921135224886698500490595338162735315575079777020677591479105918542212048703100231<200>
prime factors 素因数
814957708135439973310670506901118985833817625852333<51>
3261630516337719656389832358458211754993560740037070279<55>
3797827196296147823031306941750564370345215736210125857957361529627420486825733896113932832933<94>
factorization results 素因数分解の結果
Number: n
N=10094970025622255113553283002399318800734271361858905541204546335380458113165793665232733988420362066441458135827598171921135224886698500490595338162735315575079777020677591479105918542212048703100231
  ( 200 digits)
SNFS difficulty: 210 digits.
Divisors found:

Wed Aug  9 11:33:32 2017  prp51 factor: 814957708135439973310670506901118985833817625852333
Wed Aug  9 11:33:32 2017  prp55 factor: 3261630516337719656389832358458211754993560740037070279
Wed Aug  9 11:33:32 2017  prp94 factor: 3797827196296147823031306941750564370345215736210125857957361529627420486825733896113932832933
Wed Aug  9 11:33:32 2017  elapsed time 06:38:29 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=4.414).
Factorization parameters were as follows:
#
# 10^210-31 = 3(208)23
#
n: 10094970025622255113553283002399318800734271361858905541204546335380458113165793665232733988420362066441458135827598171921135224886698500490595338162735315575079777020677591479105918542212048703100231
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 1
c0: -31
skew: 1.99
# Murphy_E = 6.741e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 39800000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9062981 hash collisions in 61816584 relations (55084080 unique)
Msieve: matrix is 2775313 x 2775539 (784.5 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 6hrs 16min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 8sec.

Prototype def-par.txt line would be:
snfs,210,5,0,0,0,0,0,0,0,0,22000000,22000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.050273] smpboot: CPU0: Intel(R) Core(TM) i7-6700K CPU @ 4.00GHz (family: 0x6, model: 0x5e, stepping: 0x3)
[    0.000000] Memory: 16339156K/16705272K available (7836K kernel code, 1309K rwdata, 3448K rodata, 1528K init, 1544K bss, 366116K reserved, 0K cma-reserved)
[    0.000018] Calibrating delay loop (skipped), value calculated using timer frequency.. 8016.72 BogoMIPS (lpj=4008360)
[    0.074633] smpboot: Total of 8 processors activated (64133.76 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:55 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 55 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:08 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 8 秒 (日本時間)
4511e6498 / 4342CypJune 9, 2015 03:24:21 UTC 2015 年 6 月 9 日 (火) 12 時 24 分 21 秒 (日本時間)

10213-313

c205

name 名前ebina
date 日付July 10, 2022 11:12:31 UTC 2022 年 7 月 10 日 (日) 20 時 12 分 31 秒 (日本時間)
composite number 合成数
6197019012001946434095517715359377929350252657732585479557772543238445259893650849748570516582699228010694493165924335054747471506246015742820339823576693926175866850948660430370948166651896071851560027341<205>
prime factors 素因数
3190525839645655563282224779133376756423145663007460160083989061102204862949640120504739<88>
1942319016820812324791298801372942522306689429032219679925388567502477023285241133726802423130217181819551964542080719<118>
factorization results 素因数分解の結果
Number: 33323_213
N = 6197019012001946434095517715359377929350252657732585479557772543238445259893650849748570516582699228010694493165924335054747471506246015742820339823576693926175866850948660430370948166651896071851560027341 (205 digits)
SNFS difficulty: 213 digits.
Divisors found:
r1=3190525839645655563282224779133376756423145663007460160083989061102204862949640120504739 (pp88)
r2=1942319016820812324791298801372942522306689429032219679925388567502477023285241133726802423130217181819551964542080719 (pp118)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 62.06 hours.
Factorization parameters were as follows:
n: 6197019012001946434095517715359377929350252657732585479557772543238445259893650849748570516582699228010694493165924335054747471506246015742820339823576693926175866850948660430370948166651896071851560027341
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 1000
c0: -31
skew: 0.50
# Murphy_E = 3.628e-12
type: snfs
lss: 1
rlim: 25000000
alim: 25000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 25000000/25000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 45742651
Relations: 8370022 relations
Pruned matrix : 5171876 x 5172102
Total sieving time: 55.62 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 5.65 hours.
time per square root: 0.48 hours.
Prototype def-par.txt line would be: snfs,213,5,0,0,0,0,0,0,0,0,25000000,25000000,29,29,57,57,2.6,2.6,100000
total time: 62.06 hours.
Intel64 Family 6 Model 158 Stepping 12, GenuineIntel
processors: 16, speed: 3.60GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:56 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 56 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:09 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 9 秒 (日本時間)
4511e6498 / 4342CypMay 19, 2015 03:10:26 UTC 2015 年 5 月 19 日 (火) 12 時 10 分 26 秒 (日本時間)

10214-313

c179

name 名前Serge Batalov
date 日付December 21, 2014 01:54:15 UTC 2014 年 12 月 21 日 (日) 10 時 54 分 15 秒 (日本時間)
composite number 合成数
94965466672769232114517052935621477390903987865042191438669697551554655994772608682668582716649421913220801654422912835298784403850757328795517869772443771200338739459717810023133<179>
prime factors 素因数
22289964802805812478928814235682197<35>
composite cofactor 合成数の残り
4260458350334190967820321998972148936765802031826769130938753241681837031161132263870990624505767969369486041556458258149849715339898991147150889<145>
factorization results 素因数分解の結果
Input number is 94965466672769232114517052935621477390903987865042191438669697551554655994772608682668582716649421913220801654422912835298784403850757328795517869772443771200338739459717810023133 (179 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2669686427
Step 1 took 13337ms
Step 2 took 8995ms
********** Factor found in step 2: 22289964802805812478928814235682197
Found probable prime factor of 35 digits: 22289964802805812478928814235682197
Composite cofactor 4260458350334190967820321998972148936765802031826769130938753241681837031161132263870990624505767969369486041556458258149849715339898991147150889 has 145 digits

c145

name 名前Robert Balfour
date 日付April 2, 2020 13:18:41 UTC 2020 年 4 月 2 日 (木) 22 時 18 分 41 秒 (日本時間)
composite number 合成数
4260458350334190967820321998972148936765802031826769130938753241681837031161132263870990624505767969369486041556458258149849715339898991147150889<145>
prime factors 素因数
8722907635640666067083956234723040431483529<43>
488421811659051882952409185736905328358878755136939431792585157456064343077820293871684630972851207841<102>
factorization results 素因数分解の結果
PID856 2020-04-01 23:15:27,529 Debug:root: Root parameter dictionary:
N = 4260458350334190967820321998972148936765802031826769130938753241681837031161132263870990624505767969369486041556458258149849715339898991147150889
name = 33323_214
tasks.I = 14
tasks.lim0 = 13000000
tasks.lim1 = 20000000
tasks.lpb0 = 30
tasks.lpb1 = 31
tasks.qmin = 100000
tasks.threads = 6
tasks.wutimeout = 1800
tasks.filter.required_excess = 0.05
tasks.filter.target_density = 135.0
tasks.filter.purge.keep = 175
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.bwc.interleaving = 0
tasks.linalg.bwc.threads = 6
tasks.linalg.characters.nchar = 50
tasks.polyselect.P = 300000
tasks.polyselect.admax = 20e4
tasks.polyselect.admin = 12600
tasks.polyselect.adrange = 840
tasks.polyselect.degree = 5
tasks.polyselect.incr = 60
tasks.polyselect.nq = 15625
tasks.polyselect.nrkeep = 100
tasks.polyselect.threads = 2
tasks.sieve.lambda0 = 1.81
tasks.sieve.lambda1 = 1.79
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 58
tasks.sieve.ncurves0 = 19
tasks.sieve.ncurves1 = 22
tasks.sieve.qrange = 5000
tasks.sieve.rels_wanted = 85000000
tasks.sieve.las.threads = 2
tasks.sqrt.threads = 2
PID856 2020-04-01 23:35:52,079 Info:Polynomial Selection (root optimized): Best polynomial is:
n: 4260458350334190967820321998972148936765802031826769130938753241681837031161132263870990624505767969369486041556458258149849715339898991147150889
skew: 233563.199
c0: -149009632276975482226169967057880
c1: -19775920034548901199972211922
c2: 203891588919424890097357
c3: 594712695893924843
c4: -1067392742718
c5: 250200
Y0: 1251197513621242646029098953
Y1: 30564019819715050373513
# MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=1.342e+13) = 2.805e-06
PID856 2020-04-02 04:20:01,858 Info:Square Root: Factors: 8722907635640666067083956234723040431483529 488421811659051882952409185736905328358878755136939431792585157456064343077820293871684630972851207841
PID856 2020-04-02 04:20:01,858 Debug:Square Root: Exit SqrtTask.run(sqrt)
PID856 2020-04-02 04:20:01,858 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID856 2020-04-02 04:20:01,858 Info:Polynomial Selection (size optimized): potential collisions: 144726
PID856 2020-04-02 04:20:01,858 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 146560/42.770/52.675/62.200/1.213
PID856 2020-04-02 04:20:01,858 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 121598/41.630/46.575/53.150/0.993
PID856 2020-04-02 04:20:01,858 Info:Polynomial Selection (size optimized): Total time: 61711.9
PID856 2020-04-02 04:20:01,858 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID856 2020-04-02 04:20:01,858 Info:Polynomial Selection (root optimized): Total time: 1941.63
PID856 2020-04-02 04:20:01,858 Info:Polynomial Selection (root optimized): Rootsieve time: 1940.13
PID856 2020-04-02 04:20:01,858 Info:Generate Factor Base: Total cpu/real time for makefb: 14.4/2.79676
PID856 2020-04-02 04:20:01,858 Info:Generate Free Relations: Total cpu/real time for freerel: 1335.9/225.629
PID856 2020-04-02 04:20:01,858 Info:Lattice Sieving: Aggregate statistics:
PID856 2020-04-02 04:20:01,858 Info:Lattice Sieving: Total number of relations: 94116766
PID856 2020-04-02 04:20:01,859 Info:Lattice Sieving: Average J: 7764.87 for 494430 special-q, max bucket fill -bkmult 1.0,1s:1.085640
PID856 2020-04-02 04:20:01,859 Info:Lattice Sieving: Total time: 472546s
PID856 2020-04-02 04:20:01,859 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 276.47/310.132
PID856 2020-04-02 04:20:01,859 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID856 2020-04-02 04:20:01,859 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 309.6s
PID856 2020-04-02 04:20:01,859 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1065.89/443.95
PID856 2020-04-02 04:20:01,859 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID856 2020-04-02 04:20:01,859 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 348.6s
PID856 2020-04-02 04:20:01,859 Info:Filtering - Singleton removal: Total cpu/real time for purge: 427.1/231.515
PID856 2020-04-02 04:20:01,859 Info:Filtering - Merging: Total cpu/real time for merge: 150.48/34.0714
PID856 2020-04-02 04:20:01,859 Info:Filtering - Merging: Total cpu/real time for replay: 55.13/56.0737
PID856 2020-04-02 04:20:01,859 Info:Linear Algebra: Total cpu/real time for bwc: 41856.1/7371.2
PID856 2020-04-02 04:20:01,859 Info:Linear Algebra: Aggregate statistics:
PID856 2020-04-02 04:20:01,859 Info:Linear Algebra: Krylov: WCT time 4680.44, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (69120 iterations)
PID856 2020-04-02 04:20:01,859 Info:Linear Algebra: Lingen CPU time 272.34, WCT time 51.26
PID856 2020-04-02 04:20:01,859 Info:Linear Algebra: Mksol: WCT time 2519.12, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (33792 iterations)
PID856 2020-04-02 04:20:01,859 Info:Quadratic Characters: Total cpu/real time for characters: 71.68/22.3587
PID856 2020-04-02 04:20:01,860 Info:Square Root: Total cpu/real time for sqrt: 1803.97/376.395
PID856 2020-04-02 04:20:01,860 Info:HTTP server: Shutting down HTTP server
PID856 2020-04-02 04:20:02,258 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.08166e+06/18273.9
software ソフトウェア
CADO-NFS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:20:56 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 56 秒 (日本時間)
4511e61400 / 4409800CypDecember 24, 2014 16:14:39 UTC 2014 年 12 月 25 日 (木) 1 時 14 分 39 秒 (日本時間)
600Dmitry DomanovMarch 1, 2016 13:20:26 UTC 2016 年 3 月 1 日 (火) 22 時 20 分 26 秒 (日本時間)

10215-313

c196

composite cofactor 合成数の残り
9194623827346762476696997827514954762069486014613141203302167970284757952830822879416717981624870173608152186540524859760845127751043760922919588085280145504933615903649052540219716489961070526951<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:57 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 57 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:09 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 9 秒 (日本時間)
4511e6498 / 4342CypMay 26, 2015 07:46:12 UTC 2015 年 5 月 26 日 (火) 16 時 46 分 12 秒 (日本時間)

10216-313

c190

composite cofactor 合成数の残り
1450877203504121025218814828572980266301537170210543846377219210225361526762698236945350762523754551861212203871366191875797165401215409874663820133474690373255427142387522391407099143438003<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:57 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 57 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:10 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 10 秒 (日本時間)
4511e6498 / 4342CypJune 15, 2015 18:04:04 UTC 2015 年 6 月 16 日 (火) 3 時 4 分 4 秒 (日本時間)

10217-313

c206

name 名前Bob Backstrom
date 日付June 18, 2020 07:43:23 UTC 2020 年 6 月 18 日 (木) 16 時 43 分 23 秒 (日本時間)
composite number 合成数
16038709726503166635124418058523941483957012812965678390021502467921301512018784713347304274766308437955438625157100849243845616905463272911076989285552321330209403981698226810617554480159329543623498424587<206>
prime factors 素因数
33492906371823762017442809353841594938616209292733836820714920186405742291737<77>
478868855047942016085827522267950693943845237482755235294740650159044957575957127225709771004020339889983189217474867948498458051<129>
factorization results 素因数分解の結果
Number: n
N=16038709726503166635124418058523941483957012812965678390021502467921301512018784713347304274766308437955438625157100849243845616905463272911076989285552321330209403981698226810617554480159329543623498424587  ( 206 digits)
SNFS difficulty: 217 digits.
Divisors found:

Thu Jun 18 17:36:02 2020  p77 factor: 33492906371823762017442809353841594938616209292733836820714920186405742291737
Thu Jun 18 17:36:02 2020  p129 factor: 478868855047942016085827522267950693943845237482755235294740650159044957575957127225709771004020339889983189217474867948498458051
Thu Jun 18 17:36:02 2020  elapsed time 05:18:52 (Msieve 1.54 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.122).
Factorization parameters were as follows:
#
# N = 10^217-31 = 3(215)23
#
n: 16038709726503166635124418058523941483957012812965678390021502467921301512018784713347304274766308437955438625157100849243845616905463272911076989285552321330209403981698226810617554480159329543623498424587
m: 1000000000000000000000000000000000000
deg: 6
c6: 10
c0: -31
skew: 1.21
# Murphy_E = 4.005e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 29000000/29000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 47300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8851447 hash collisions in 60082466 relations (53920463 unique)
Msieve: matrix is 3399511 x 3399737 (1197.4 MB)

Sieving start time: 2020/06/17 17:40:54
Sieving end time  : 2020/06/18 12:16:14

Total sieving time: 18hrs 35min 20secs.

Total relation processing time: 4hrs 41min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 18min 35sec.

Prototype def-par.txt line would be:
snfs,217,6,0,0,0,0,0,0,0,0,29000000,29000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149558] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283204K/16703460K available (12300K kernel code, 2481K rwdata, 4268K rodata, 2432K init, 2712K bss, 420256K reserved, 0K cma-reserved)
[    0.184558] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.59 BogoMIPS (lpj=11977184)
[    0.182227] smpboot: Total of 16 processors activated (95817.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:58 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 58 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:10 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 10 秒 (日本時間)
4511e6498 / 4342CypJune 15, 2015 19:46:52 UTC 2015 年 6 月 16 日 (火) 4 時 46 分 52 秒 (日本時間)

10218-313

c175

composite cofactor 合成数の残り
5801703414252802805456219441042045225690276100393056205177475204797649936271626819612466846457165221841555454693979456076812606383553133650280217584925949617029202192072710749<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:58 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 58 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:11 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 11 秒 (日本時間)
4511e6498 / 4342CypFebruary 4, 2015 06:27:12 UTC 2015 年 2 月 4 日 (水) 15 時 27 分 12 秒 (日本時間)

10219-313

c206

name 名前Erik Branger
date 日付November 23, 2019 10:36:32 UTC 2019 年 11 月 23 日 (土) 19 時 36 分 32 秒 (日本時間)
composite number 合成数
27028878006844916173316389423873331923808240905665459044764695910433926157522398350729274108470150337511464822173876895460473180677421122155238711945287306793782009479726945925525272548676464146505239429329<206>
prime factors 素因数
35356257434253048732611775007146996758284388689058145896426268121586648813323564790344848018051193<98>
764472259460906928889823935881243948987115717899802369934001985917626659146708470572599239035598352666217753<108>
factorization results 素因数分解の結果
Number: 33323_219
N = 27028878006844916173316389423873331923808240905665459044764695910433926157522398350729274108470150337511464822173876895460473180677421122155238711945287306793782009479726945925525272548676464146505239429329 (206 digits)
SNFS difficulty: 220 digits.
Divisors found:
r1=35356257434253048732611775007146996758284388689058145896426268121586648813323564790344848018051193 (pp98)
r2=764472259460906928889823935881243948987115717899802369934001985917626659146708470572599239035598352666217753 (pp108)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 41.20 hours.
Factorization parameters were as follows:
n: 27028878006844916173316389423873331923808240905665459044764695910433926157522398350729274108470150337511464822173876895460473180677421122155238711945287306793782009479726945925525272548676464146505239429329
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c0: -310
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 34268498
Relations: 6797540 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 22.32 hours.
Total relation processing time: 0.35 hours.
Pruned matrix : 6184800 x 6185025
Matrix solve time: 18.38 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: snfs,220,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 41.20 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:20:59 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 59 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:11 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 11 秒 (日本時間)
4511e6498 / 4342CypMay 23, 2015 19:50:48 UTC 2015 年 5 月 24 日 (日) 4 時 50 分 48 秒 (日本時間)

10220-313

c202

name 名前Erik Branger
date 日付January 23, 2018 19:20:37 UTC 2018 年 1 月 24 日 (水) 4 時 20 分 37 秒 (日本時間)
composite number 合成数
1387153933030329759409611381337336993577297229032224912384675012057024612044499550506041689154254760562340823290677614074524756412939280086102608686329575481190183439430093243816852814350487269766727123<202>
prime factors 素因数
33953633653416201117257505967813047314057<41>
1918252890909337883620007230502245227575707<43>
607776169191157093812910907039344825325782786771537890959<57>
35041998788310068836038381014783174289097120200163755224509903<62>
factorization results 素因数分解の結果
Number: 33323_220
N = 1387153933030329759409611381337336993577297229032224912384675012057024612044499550506041689154254760562340823290677614074524756412939280086102608686329575481190183439430093243816852814350487269766727123 (202 digits)
SNFS difficulty: 220 digits.
Divisors found:
r1=33953633653416201117257505967813047314057 (pp41)
r2=1918252890909337883620007230502245227575707 (pp43)
r3=607776169191157093812910907039344825325782786771537890959 (pp57)
r4=35041998788310068836038381014783174289097120200163755224509903 (pp62)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 67.28 hours.
Factorization parameters were as follows:
n: 1387153933030329759409611381337336993577297229032224912384675012057024612044499550506041689154254760562340823290677614074524756412939280086102608686329575481190183439430093243816852814350487269766727123
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c0: -31
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 27
mfbr: 58
mfba: 54
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/27
Total raw relations: 30087543
Relations: 7415126 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 38.20 hours.
Total relation processing time: 0.39 hours.
Pruned matrix : 6448684 x 6448932
Matrix solve time: 28.19 hours.
time per square root: 0.50 hours.
Prototype def-par.txt line would be: snfs,220,4,0,0,0,0,0,0,0,0,536870912,67108864,29,27,58,54,2.8,2.8,100000
total time: 67.28 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.15063-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:20:59 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 59 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:12 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 12 秒 (日本時間)

10221-313

c205

name 名前Erik Branger
date 日付September 13, 2019 15:20:37 UTC 2019 年 9 月 14 日 (土) 0 時 20 分 37 秒 (日本時間)
composite number 合成数
3693861069087743807095265455850028360239829365945896581710611678695848436516533537756697934991960895457464676422671056962949197468783242852698448249163286052567361986387753219317836036787868523609143847809<205>
prime factors 素因数
1589938067985004460412560815535042834128690121<46>
2323273556038022071987576452167415817573440998558779066981921038077200417481507631844129026836947226716969112007153628835263337516542402356571176593204236238329<160>
factorization results 素因数分解の結果
Number: 33323_221
N = 3693861069087743807095265455850028360239829365945896581710611678695848436516533537756697934991960895457464676422671056962949197468783242852698448249163286052567361986387753219317836036787868523609143847809 (205 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=1589938067985004460412560815535042834128690121 (pp46)
r2=2323273556038022071987576452167415817573440998558779066981921038077200417481507631844129026836947226716969112007153628835263337516542402356571176593204236238329 (pp160)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 61.39 hours.
Factorization parameters were as follows:
n: 3693861069087743807095265455850028360239829365945896581710611678695848436516533537756697934991960895457464676422671056962949197468783242852698448249163286052567361986387753219317836036787868523609143847809
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 10
c0: -31
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: 7463728 relations
Pruned matrix : 6669485 x 6669710
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 27.74 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 32.77 hours.
time per square root: 0.58 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,22369622,29,28,58,56,2.8,2.8,100000
total time: 61.39 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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:20:59 UTC 2014 年 12 月 21 日 (日) 6 時 20 分 59 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:12 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 12 秒 (日本時間)

10222-313

c218

name 名前Bob Backstrom
date 日付June 13, 2019 09:12:57 UTC 2019 年 6 月 13 日 (木) 18 時 12 分 57 秒 (日本時間)
composite number 合成数
62200659326988866081980468992971325496050258132736207003794240218946320831000808608571250855259065746096908627231448653355725570691049325122846302170803010511911426261118367854699259812154008832493624432418983641226597<218>
prime factors 素因数
296042788035953941528840118377380969153480193527519947314064496239632041323<75>
210106990748359968903594378272682949046243849095110593355935282889274704919008288668319909074514186265364103178664077383569212618816262795005039<144>
factorization results 素因数分解の結果
Number: n
N=62200659326988866081980468992971325496050258132736207003794240218946320831000808608571250855259065746096908627231448653355725570691049325122846302170803010511911426261118367854699259812154008832493624432418983641226597
  ( 218 digits)
SNFS difficulty: 222 digits.
Divisors found:

Thu Jun 13 18:32:35 2019  p75 factor: 296042788035953941528840118377380969153480193527519947314064496239632041323
Thu Jun 13 18:32:35 2019  p144 factor: 210106990748359968903594378272682949046243849095110593355935282889274704919008288668319909074514186265364103178664077383569212618816262795005039
Thu Jun 13 18:32:35 2019  elapsed time 09:31:02 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.123).
Factorization parameters were as follows:
#
# N = 10^222-31 = 3(220)23
#
n: 62200659326988866081980468992971325496050258132736207003794240218946320831000808608571250855259065746096908627231448653355725570691049325122846302170803010511911426261118367854699259812154008832493624432418983641226597
m: 10000000000000000000000000000000000000
deg: 6
c6: 1
c0: -31
skew: 1.77
# Murphy_E = 1.876e-12
type: snfs
lss: 1
rlim: 35000000
alim: 35000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 35000000/35000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 93500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13314814 hash collisions in 70153699 relations (57705050 unique)
Msieve: matrix is 4541087 x 4541312 (1574.5 MB)

Sieving start time: 2019/06/11 12:54:49
Sieving end time  : 2019/06/13 08:59:22

Total sieving time: 44hrs 4min 33secs.

Total relation processing time: 8hrs 53min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 14min 40sec.

Prototype def-par.txt line would be:
snfs,222,6,0,0,0,0,0,0,0,0,35000000,35000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284004K/16703460K available (12300K kernel code, 2473K rwdata, 4272K rodata, 2408K init, 2416K bss, 419456K reserved, 0K cma-reserved)
[    0.080567] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.76 BogoMIPS (lpj=11977520)
[    0.078217] smpboot: Total of 16 processors activated (95820.16 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:39 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 39 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:56 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 56 秒 (日本時間)

10223-313

c167

composite cofactor 合成数の残り
15448028765408200162730028155934353305237849659353465636192760451653916042290299199869190553872119118398022661317307089435140096074494681103807339154554067206346698489<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:21:00 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 0 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:12 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 12 秒 (日本時間)
4511e6498 / 4342CypMay 13, 2015 06:27:28 UTC 2015 年 5 月 13 日 (水) 15 時 27 分 28 秒 (日本時間)

10224-313

c202

name 名前Cyp
date 日付July 6, 2015 08:52:34 UTC 2015 年 7 月 6 日 (月) 17 時 52 分 34 秒 (日本時間)
composite number 合成数
6086995940458578615522186118226175947179348212901920106705419236546563308598968458995749464853264008201754614570046808891407120523902814291520379438134172020464876320910157917805691726316648053798483173<202>
prime factors 素因数
1089528694203253252666327675689038992849<40>
5586815632157219868721645186841659366301989511929112762750469477485890819386053273250659010882071966163634857048298601739792661331743466535569840197326373530136277<163>
factorization results 素因数分解の結果
Run 20 out of 498:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3905019541
Step 1 took 69691ms
Step 2 took 21606ms
********** Factor found in step 2: 1089528694203253252666327675689038992849
Found probable prime factor of 40 digits: 1089528694203253252666327675689038992849
Probable prime cofactor 5586815632157219868721645186841659366301989511929112762750469477485890819386053273250659010882071966163634857048298601739792661331743466535569840197326373530136277 has 163 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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2249300Serge BatalovDecember 20, 2014 21:21:00 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 0 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:13 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 13 秒 (日本時間)
4511e620 / 4342CypJuly 6, 2015 08:52:34 UTC 2015 年 7 月 6 日 (月) 17 時 52 分 34 秒 (日本時間)

10229-313

c196

name 名前Serge Batalov
date 日付December 21, 2014 01:54:18 UTC 2014 年 12 月 21 日 (日) 10 時 54 分 18 秒 (日本時間)
composite number 合成数
1273817890291806157971329451193718442115187923494767738673479918588853502941117211480085223083446868658054948725511213520175994537301866026586215653079961944126207128058819815737281891564192458099<196>
prime factors 素因数
28173528905523505919975377224995221<35>
composite cofactor 合成数の残り
45213288493727539091301792257401194370325494261117295169728717389546490059702706397317295064695546756030616981559548018341046443012895613446625233932835604850919<161>
factorization results 素因数分解の結果
Input number is 1273817890291806157971329451193718442115187923494767738673479918588853502941117211480085223083446868658054948725511213520175994537301866026586215653079961944126207128058819815737281891564192458099 (196 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=162761297
Step 1 took 16050ms
Step 2 took 10287ms
********** Factor found in step 2: 28173528905523505919975377224995221
Found probable prime factor of 35 digits: 28173528905523505919975377224995221
Composite cofactor 45213288493727539091301792257401194370325494261117295169728717389546490059702706397317295064695546756030616981559548018341046443012895613446625233932835604850919 has 161 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61200300Serge BatalovDecember 20, 2014 21:21:01 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 1 秒 (日本時間)
900Dmitry DomanovNovember 21, 2016 12:09:43 UTC 2016 年 11 月 21 日 (月) 21 時 9 分 43 秒 (日本時間)
4511e6400 / 4210Dmitry DomanovJanuary 17, 2017 06:56:06 UTC 2017 年 1 月 17 日 (火) 15 時 56 分 6 秒 (日本時間)

10230-313

c218

composite cofactor 合成数の残り
23873275567719260660902071562115503618773293156390391499183155706755522975354077348473527716968706899755780181087334370116513593393341670999419231076921096658301118936874160175710878913789732461144002084374480874893899<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:21:01 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 1 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:13 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 13 秒 (日本時間)
4511e6498 / 4342CypJune 7, 2015 10:49:01 UTC 2015 年 6 月 7 日 (日) 19 時 49 分 1 秒 (日本時間)

10234-313

c234

name 名前NFS@home + Dmitry Domanov
date 日付October 29, 2020 19:43:10 UTC 2020 年 10 月 30 日 (金) 4 時 43 分 10 秒 (日本時間)
composite number 合成数
333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323<234>
prime factors 素因数
9784605006679558262019264434300226389921189071117436541557070178680067016618938799314206397231601142283321<106>
34067122086765894641169187421245095660381721388539976530514669268228482646624048549319047438795720175176917145751373929345312163<128>
factorization results 素因数分解の結果
Sieving done by NFS@home, filtering, linear algebra and square root by Dmitry Domanov

Fri Oct 23 00:52:56 2020  Msieve v. 1.54 (SVN 1025)
Fri Oct 23 00:52:56 2020  random seeds: 21ee40c6 2c8c97cd
Fri Oct 23 00:52:56 2020  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (234 digits)
Fri Oct 23 00:52:57 2020  no P-1/P+1/ECM available, skipping
Fri Oct 23 00:52:57 2020  commencing number field sieve (234-digit input)
Fri Oct 23 00:52:57 2020  R0: -1000000000000000000000000000000000000000
Fri Oct 23 00:52:57 2020  R1: 1
Fri Oct 23 00:52:57 2020  A0: -31
Fri Oct 23 00:52:57 2020  A1: 0
Fri Oct 23 00:52:57 2020  A2: 0
Fri Oct 23 00:52:57 2020  A3: 0
Fri Oct 23 00:52:57 2020  A4: 0
Fri Oct 23 00:52:57 2020  A5: 0
Fri Oct 23 00:52:57 2020  A6: 1
Fri Oct 23 00:52:57 2020  skew 1.00, size 1.189e-11, alpha 1.991, combined = 7.004e-13 rroots = 2
Fri Oct 23 00:52:57 2020  
Fri Oct 23 00:52:57 2020  commencing relation filtering
Fri Oct 23 00:52:57 2020  setting target matrix density to 110.0
Fri Oct 23 00:52:57 2020  estimated available RAM is 15891.6 MB
Fri Oct 23 00:52:57 2020  commencing duplicate removal, pass 1
Fri Oct 23 01:11:12 2020  skipped 6 relations with b > 2^32
Fri Oct 23 01:11:12 2020  skipped 89 relations with composite factors
Fri Oct 23 01:11:12 2020  found 22166676 hash collisions in 119575754 relations
Fri Oct 23 01:11:23 2020  commencing duplicate removal, pass 2
Fri Oct 23 01:14:03 2020  found 21167948 duplicates and 98407806 unique relations
Fri Oct 23 01:14:03 2020  memory use: 660.8 MB
Fri Oct 23 01:14:03 2020  reading ideals above 97845248
Fri Oct 23 01:14:03 2020  commencing singleton removal, initial pass
Fri Oct 23 01:26:22 2020  memory use: 1506.0 MB
Fri Oct 23 01:26:22 2020  reading all ideals from disk
Fri Oct 23 01:26:37 2020  memory use: 1705.2 MB
Fri Oct 23 01:26:40 2020  commencing in-memory singleton removal
Fri Oct 23 01:26:43 2020  begin with 98407806 relations and 81632069 unique ideals
Fri Oct 23 01:27:16 2020  reduce to 65216390 relations and 45211389 ideals in 13 passes
Fri Oct 23 01:27:16 2020  max relations containing the same ideal: 35
Fri Oct 23 01:27:19 2020  reading ideals above 720000
Fri Oct 23 01:27:20 2020  commencing singleton removal, initial pass
Fri Oct 23 01:37:17 2020  memory use: 1506.0 MB
Fri Oct 23 01:37:17 2020  reading all ideals from disk
Fri Oct 23 01:37:38 2020  memory use: 2500.5 MB
Fri Oct 23 01:37:50 2020  keeping 56169244 ideals with weight <= 200, target excess is 328074
Fri Oct 23 01:38:01 2020  commencing in-memory singleton removal
Fri Oct 23 01:38:12 2020  begin with 65216391 relations and 56169244 unique ideals
Fri Oct 23 01:39:10 2020  reduce to 65211248 relations and 56164098 ideals in 6 passes
Fri Oct 23 01:39:10 2020  max relations containing the same ideal: 200
Fri Oct 23 01:39:52 2020  removing 5676008 relations and 4676008 ideals in 1000000 cliques
Fri Oct 23 01:39:54 2020  commencing in-memory singleton removal
Fri Oct 23 01:40:03 2020  begin with 59535240 relations and 56164098 unique ideals
Fri Oct 23 01:41:14 2020  reduce to 59119416 relations and 51063908 ideals in 10 passes
Fri Oct 23 01:41:14 2020  max relations containing the same ideal: 196
Fri Oct 23 01:41:54 2020  removing 4392524 relations and 3392524 ideals in 1000000 cliques
Fri Oct 23 01:41:55 2020  commencing in-memory singleton removal
Fri Oct 23 01:42:04 2020  begin with 54726892 relations and 51063908 unique ideals
Fri Oct 23 01:43:13 2020  reduce to 54443566 relations and 47383033 ideals in 10 passes
Fri Oct 23 01:43:13 2020  max relations containing the same ideal: 187
Fri Oct 23 01:43:47 2020  removing 4024772 relations and 3024772 ideals in 1000000 cliques
Fri Oct 23 01:43:48 2020  commencing in-memory singleton removal
Fri Oct 23 01:43:56 2020  begin with 50418794 relations and 47383033 unique ideals
Fri Oct 23 01:44:46 2020  reduce to 50161639 relations and 44096613 ideals in 8 passes
Fri Oct 23 01:44:46 2020  max relations containing the same ideal: 181
Fri Oct 23 01:45:16 2020  removing 3846129 relations and 2846129 ideals in 1000000 cliques
Fri Oct 23 01:45:17 2020  commencing in-memory singleton removal
Fri Oct 23 01:45:24 2020  begin with 46315510 relations and 44096613 unique ideals
Fri Oct 23 01:46:02 2020  reduce to 46064425 relations and 40994718 ideals in 7 passes
Fri Oct 23 01:46:02 2020  max relations containing the same ideal: 172
Fri Oct 23 01:46:23 2020  removing 3748556 relations and 2748556 ideals in 1000000 cliques
Fri Oct 23 01:46:24 2020  commencing in-memory singleton removal
Fri Oct 23 01:46:30 2020  begin with 42315869 relations and 40994718 unique ideals
Fri Oct 23 01:47:05 2020  reduce to 42061298 relations and 37986576 ideals in 7 passes
Fri Oct 23 01:47:05 2020  max relations containing the same ideal: 160
Fri Oct 23 01:47:32 2020  removing 3693885 relations and 2693885 ideals in 1000000 cliques
Fri Oct 23 01:47:33 2020  commencing in-memory singleton removal
Fri Oct 23 01:47:38 2020  begin with 38367413 relations and 37986576 unique ideals
Fri Oct 23 01:48:08 2020  reduce to 38101908 relations and 35021578 ideals in 7 passes
Fri Oct 23 01:48:08 2020  max relations containing the same ideal: 149
Fri Oct 23 01:48:31 2020  removing 3664871 relations and 2664871 ideals in 1000000 cliques
Fri Oct 23 01:48:32 2020  commencing in-memory singleton removal
Fri Oct 23 01:48:37 2020  begin with 34437037 relations and 35021578 unique ideals
Fri Oct 23 01:49:03 2020  reduce to 34152599 relations and 32065685 ideals in 7 passes
Fri Oct 23 01:49:03 2020  max relations containing the same ideal: 138
Fri Oct 23 01:49:23 2020  removing 3662247 relations and 2662247 ideals in 1000000 cliques
Fri Oct 23 01:49:24 2020  commencing in-memory singleton removal
Fri Oct 23 01:49:28 2020  begin with 30490352 relations and 32065685 unique ideals
Fri Oct 23 01:49:54 2020  reduce to 30175878 relations and 29080961 ideals in 8 passes
Fri Oct 23 01:49:54 2020  max relations containing the same ideal: 132
Fri Oct 23 01:50:13 2020  removing 2807573 relations and 2093222 ideals in 714351 cliques
Fri Oct 23 01:50:14 2020  commencing in-memory singleton removal
Fri Oct 23 01:50:17 2020  begin with 27368305 relations and 29080961 unique ideals
Fri Oct 23 01:50:37 2020  reduce to 27165893 relations and 26780979 ideals in 7 passes
Fri Oct 23 01:50:37 2020  max relations containing the same ideal: 122
Fri Oct 23 01:50:57 2020  relations with 0 large ideals: 12512
Fri Oct 23 01:50:57 2020  relations with 1 large ideals: 2163
Fri Oct 23 01:50:57 2020  relations with 2 large ideals: 29176
Fri Oct 23 01:50:57 2020  relations with 3 large ideals: 251798
Fri Oct 23 01:50:57 2020  relations with 4 large ideals: 1204887
Fri Oct 23 01:50:57 2020  relations with 5 large ideals: 3483530
Fri Oct 23 01:50:57 2020  relations with 6 large ideals: 6319740
Fri Oct 23 01:50:57 2020  relations with 7+ large ideals: 15862087
Fri Oct 23 01:50:57 2020  commencing 2-way merge
Fri Oct 23 01:51:19 2020  reduce to 18062204 relation sets and 17677289 unique ideals
Fri Oct 23 01:51:19 2020  commencing full merge
Fri Oct 23 01:59:40 2020  memory use: 2371.7 MB
Fri Oct 23 01:59:42 2020  found 8232652 cycles, need 8229489
Fri Oct 23 01:59:45 2020  weight of 8229489 cycles is about 905551739 (110.04/cycle)
Fri Oct 23 01:59:45 2020  distribution of cycle lengths:
Fri Oct 23 01:59:45 2020  1 relations: 459641
Fri Oct 23 01:59:45 2020  2 relations: 602268
Fri Oct 23 01:59:45 2020  3 relations: 656485
Fri Oct 23 01:59:45 2020  4 relations: 648884
Fri Oct 23 01:59:45 2020  5 relations: 636988
Fri Oct 23 01:59:45 2020  6 relations: 609514
Fri Oct 23 01:59:45 2020  7 relations: 579683
Fri Oct 23 01:59:45 2020  8 relations: 543097
Fri Oct 23 01:59:45 2020  9 relations: 504156
Fri Oct 23 01:59:45 2020  10+ relations: 2988773
Fri Oct 23 01:59:45 2020  heaviest cycle: 28 relations
Fri Oct 23 01:59:49 2020  commencing cycle optimization
Fri Oct 23 02:00:07 2020  start with 69035044 relations
Fri Oct 23 02:03:00 2020  pruned 3057897 relations
Fri Oct 23 02:03:01 2020  memory use: 1839.6 MB
Fri Oct 23 02:03:01 2020  distribution of cycle lengths:
Fri Oct 23 02:03:01 2020  1 relations: 459641
Fri Oct 23 02:03:01 2020  2 relations: 617056
Fri Oct 23 02:03:01 2020  3 relations: 684767
Fri Oct 23 02:03:01 2020  4 relations: 674529
Fri Oct 23 02:03:01 2020  5 relations: 666772
Fri Oct 23 02:03:01 2020  6 relations: 635694
Fri Oct 23 02:03:01 2020  7 relations: 606362
Fri Oct 23 02:03:01 2020  8 relations: 564804
Fri Oct 23 02:03:01 2020  9 relations: 522956
Fri Oct 23 02:03:01 2020  10+ relations: 2796908
Fri Oct 23 02:03:01 2020  heaviest cycle: 28 relations
Fri Oct 23 02:03:26 2020  RelProcTime: 4229
Fri Oct 23 02:03:26 2020  elapsed time 01:10:30

Fri Oct 23 21:53:23 2020  
Fri Oct 23 21:53:23 2020  
Fri Oct 23 21:53:23 2020  Msieve v. 1.52 (SVN exported)
Fri Oct 23 21:53:23 2020  random seeds: 246baf89 49ed34ed
Fri Oct 23 21:53:23 2020  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (234 digits)
Fri Oct 23 21:53:25 2020  searching for 15-digit factors
Fri Oct 23 21:53:27 2020  commencing number field sieve (234-digit input)
Fri Oct 23 21:53:27 2020  R0: -1000000000000000000000000000000000000000
Fri Oct 23 21:53:27 2020  R1: 1
Fri Oct 23 21:53:27 2020  A0: -31
Fri Oct 23 21:53:27 2020  A1: 0
Fri Oct 23 21:53:27 2020  A2: 0
Fri Oct 23 21:53:27 2020  A3: 0
Fri Oct 23 21:53:27 2020  A4: 0
Fri Oct 23 21:53:27 2020  A5: 0
Fri Oct 23 21:53:27 2020  A6: 1
Fri Oct 23 21:53:27 2020  skew 1.00, size 1.189e-11, alpha 1.991, combined = 7.004e-13 rroots = 2
Fri Oct 23 21:53:27 2020  
Fri Oct 23 21:53:27 2020  commencing linear algebra
Fri Oct 23 21:53:27 2020  skipping matrix build
Fri Oct 23 21:53:42 2020  matrix starts at (0, 0)
Fri Oct 23 21:53:44 2020  matrix is 8229245 x 8229422 (3546.5 MB) with weight 1027254157 (124.83/col)
Fri Oct 23 21:53:44 2020  sparse part has weight 847390386 (102.97/col)
Fri Oct 23 21:53:44 2020  saving the first 48 matrix rows for later
Fri Oct 23 21:53:46 2020  matrix includes 64 packed rows
Fri Oct 23 21:53:48 2020  matrix is 8229197 x 8229422 (3416.5 MB) with weight 865136063 (105.13/col)
Fri Oct 23 21:53:48 2020  sparse part has weight 813308203 (98.83/col)
Fri Oct 23 21:53:48 2020  using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
Fri Oct 23 21:54:36 2020  commencing Lanczos iteration (8 threads)
Fri Oct 23 21:54:36 2020  memory use: 2900.2 MB
Fri Oct 23 21:55:09 2020  linear algebra at 0.0%, ETA 47h55m
Fri Oct 23 21:55:20 2020  checkpointing every 180000 dimensions
Mon Oct 26 00:18:25 2020  lanczos halted after 130143 iterations (dim = 8229197)
Mon Oct 26 00:18:35 2020  recovered 36 nontrivial dependencies
Mon Oct 26 00:18:36 2020  BLanczosTime: 181509
Mon Oct 26 00:18:36 2020  elapsed time 50:25:13

Mon Oct 26 03:19:22 2020  
Mon Oct 26 03:19:22 2020  
Mon Oct 26 03:19:22 2020  Msieve v. 1.54 (SVN 1025)
Mon Oct 26 03:19:22 2020  random seeds: e4d6457d a5d1e81b
Mon Oct 26 03:19:22 2020  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (234 digits)
Mon Oct 26 03:19:22 2020  no P-1/P+1/ECM available, skipping
Mon Oct 26 03:19:22 2020  commencing number field sieve (234-digit input)
Mon Oct 26 03:19:23 2020  R0: -1000000000000000000000000000000000000000
Mon Oct 26 03:19:23 2020  R1: 1
Mon Oct 26 03:19:23 2020  A0: -31
Mon Oct 26 03:19:23 2020  A1: 0
Mon Oct 26 03:19:23 2020  A2: 0
Mon Oct 26 03:19:23 2020  A3: 0
Mon Oct 26 03:19:23 2020  A4: 0
Mon Oct 26 03:19:23 2020  A5: 0
Mon Oct 26 03:19:23 2020  A6: 1
Mon Oct 26 03:19:23 2020  skew 1.00, size 1.189e-11, alpha 1.991, combined = 7.004e-13 rroots = 2
Mon Oct 26 03:19:23 2020  
Mon Oct 26 03:19:23 2020  commencing square root phase
Mon Oct 26 03:19:23 2020  reading relations for dependency 1
Mon Oct 26 03:19:25 2020  read 4113893 cycles
Mon Oct 26 03:19:35 2020  cycles contain 13451174 unique relations
Mon Oct 26 03:22:01 2020  read 13451174 relations
Mon Oct 26 03:23:14 2020  multiplying 13451174 relations
Mon Oct 26 03:30:04 2020  multiply complete, coefficients have about 336.40 million bits
Mon Oct 26 03:30:05 2020  initial square root is modulo 1086913
Mon Oct 26 03:37:57 2020  GCD is 1, no factor found
Mon Oct 26 03:37:57 2020  reading relations for dependency 2
Mon Oct 26 03:38:02 2020  read 4111854 cycles
Mon Oct 26 03:38:11 2020  cycles contain 13446296 unique relations
Mon Oct 26 03:40:45 2020  read 13446296 relations
Mon Oct 26 03:42:07 2020  multiplying 13446296 relations
Mon Oct 26 03:49:11 2020  multiply complete, coefficients have about 336.28 million bits
Mon Oct 26 03:49:12 2020  initial square root is modulo 1081417
Mon Oct 26 03:56:50 2020  sqrtTime: 2247
Mon Oct 26 03:56:50 2020  p106 factor: 9784605006679558262019264434300226389921189071117436541557070178680067016618938799314206397231601142283321
Mon Oct 26 03:56:50 2020  p128 factor: 34067122086765894641169187421245095660381721388539976530514669268228482646624048549319047438795720175176917145751373929345312163
Mon Oct 26 03:56:50 2020  elapsed time 00:37:28

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:46 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 46 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:03:02 UTC 2014 年 12 月 20 日 (土) 10 時 3 分 2 秒 (日本時間)
4511e630002000Serge BatalovDecember 20, 2014 04:02:01 UTC 2014 年 12 月 20 日 (土) 13 時 2 分 1 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:24:50 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 50 秒 (日本時間)
5043e649542000Serge BatalovDecember 21, 2014 12:18:39 UTC 2014 年 12 月 21 日 (日) 21 時 18 分 39 秒 (日本時間)
10jafarismMarch 28, 2019 06:59:25 UTC 2019 年 3 月 28 日 (木) 15 時 59 分 25 秒 (日本時間)
2944Jason Parker-BurlinghamAugust 28, 2019 02:41:54 UTC 2019 年 8 月 28 日 (水) 11 時 41 分 54 秒 (日本時間)
5511e78000 / 15795yoyo@HomeMarch 1, 2020 21:53:56 UTC 2020 年 3 月 2 日 (月) 6 時 53 分 56 秒 (日本時間)

10237-313

c225

composite cofactor 合成数の残り
328901670056262996079608957941847808042565231908501067553928311886303771447996716569110173909646269241541346654899872243567783103345595224377737669245002578966897655970467723785935879940246503092792206063186171581149331560687<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:21:02 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 2 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:14 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 14 秒 (日本時間)
4511e6498 / 4342CypMay 19, 2015 08:09:23 UTC 2015 年 5 月 19 日 (火) 17 時 9 分 23 秒 (日本時間)

10239-313

c206

composite cofactor 合成数の残り
19056812064403244650910187963152315362596789048618156931838935389250136846064282481942839094280589963410586119602877268975794552834717288532566947806539214973343930916302200511321224587174476486607054354779<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:21:02 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 2 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:14 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 14 秒 (日本時間)
4511e6498 / 4342CypJune 24, 2015 06:04:42 UTC 2015 年 6 月 24 日 (水) 15 時 4 分 42 秒 (日本時間)

10242-313

c242

name 名前Serge Batalov
date 日付January 11, 2015 07:23:54 UTC 2015 年 1 月 11 日 (日) 16 時 23 分 54 秒 (日本時間)
composite number 合成数
33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323<242>
prime factors 素因数
31683759897641427911451830268181366785453272771<47>
1052063689442827187521648757353682395107006018116959008083771772644552097726435832315279894955273381419294540698584634602180836056785684537444999665026858776454069594302695879025528290390135236313<196>
factorization results 素因数分解の結果
Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=1346583399
Step 1 took 302438ms
Step 2 took 154210ms
********** Factor found in step 2: 31683759897641427911451830268181366785453272771
Found probable prime factor of 47 digits: 31683759897641427911451830268181366785453272771
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:54 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 54 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:03:07 UTC 2014 年 12 月 20 日 (土) 10 時 3 分 7 秒 (日本時間)
4511e630002000Serge BatalovDecember 20, 2014 04:02:07 UTC 2014 年 12 月 20 日 (土) 13 時 2 分 7 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:24:58 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 58 秒 (日本時間)
5043e62500 / 67862000Serge BatalovDecember 21, 2014 12:18:41 UTC 2014 年 12 月 21 日 (日) 21 時 18 分 41 秒 (日本時間)
500Serge BatalovJanuary 11, 2015 01:24:50 UTC 2015 年 1 月 11 日 (日) 10 時 24 分 50 秒 (日本時間)

10243-313

c226

composite cofactor 合成数の残り
1130848446568251950248357718654995334926895525285086683678305005074785749983460710870638615893453326276322867631538404944829723437821369483197757005238364276306200330577988833161618405445753571771299342774522188992269729335281<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62220300Serge BatalovDecember 20, 2014 21:21:03 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 3 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:14 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 14 秒 (日本時間)
1620Youcef LemsaferJanuary 22, 2021 19:25:04 UTC 2021 年 1 月 23 日 (土) 4 時 25 分 4 秒 (日本時間)
4511e6300 / 3984Youcef LemsaferJanuary 25, 2021 11:11:41 UTC 2021 年 1 月 25 日 (月) 20 時 11 分 41 秒 (日本時間)

10245-313

c238

composite cofactor 合成数の残り
1328062889196300032727453778464421706502643462698744113344642851285151185152033784219980655701568544532983298453753642926307423795851022632993844601156750744867312506305808605765182092894041471871382315187863991326474393174532338258308471<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:21:03 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 3 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:15 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 15 秒 (日本時間)
4511e6498 / 4342CypJune 26, 2015 06:05:07 UTC 2015 年 6 月 26 日 (金) 15 時 5 分 7 秒 (日本時間)

10246-313

c218

name 名前Serge Batalov
date 日付December 21, 2014 01:54:22 UTC 2014 年 12 月 21 日 (日) 10 時 54 分 22 秒 (日本時間)
composite number 合成数
40651635591597820793171434272463895641791990111518157423322102320339166002594728709776205458521081415727456567163117402141900296408515434179217543858426977360521056177671399287618679404327966963831769222286617859088849<218>
prime factors 素因数
80062523165182591398416439814963<32>
composite cofactor 合成数の残り
507748619260057393954812714604871678731445702526087798651848663440547675815955153597516013024746772148204830226825816966083391757091446351714806920488024438416796895130520917864742706923<186>
factorization results 素因数分解の結果
Input number is 40651635591597820793171434272463895641791990111518157423322102320339166002594728709776205458521081415727456567163117402141900296408515434179217543858426977360521056177671399287618679404327966963831769222286617859088849 (218 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3445041587
Step 1 took 18163ms
Step 2 took 11245ms
********** Factor found in step 2: 80062523165182591398416439814963
Found probable prime factor of 32 digits: 80062523165182591398416439814963
Composite cofactor 507748619260057393954812714604871678731445702526087798651848663440547675815955153597516013024746772148204830226825816966083391757091446351714806920488024438416796895130520917864742706923 has 186 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:21:04 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 4 秒 (日本時間)
4511e6585 / 4409CypMay 19, 2015 11:19:37 UTC 2015 年 5 月 19 日 (火) 20 時 19 分 37 秒 (日本時間)

10247-313

c192

composite cofactor 合成数の残り
318354065492967519376631665865678931293915551940037594967291822589659863589686315223986465961325232846249582803525587379424621721553485872109162491977060903369387562237876243498472329458273273<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61400300Serge BatalovDecember 20, 2014 21:21:04 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 4 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:15 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 15 秒 (日本時間)
800Dmitry DomanovNovember 21, 2016 12:10:39 UTC 2016 年 11 月 21 日 (月) 21 時 10 分 39 秒 (日本時間)
4511e6362 / 416662CypJuly 11, 2015 07:23:58 UTC 2015 年 7 月 11 日 (土) 16 時 23 分 58 秒 (日本時間)
300Dmitry DomanovJanuary 16, 2017 20:27:04 UTC 2017 年 1 月 17 日 (火) 5 時 27 分 4 秒 (日本時間)

10248-313

c241

name 名前Serge Batalov
date 日付December 20, 2014 02:24:18 UTC 2014 年 12 月 20 日 (土) 11 時 24 分 18 秒 (日本時間)
composite number 合成数
3789859420091628947143323349706662985955197873676633201071029431555574706978491751920501786482882739892511249155477201475331634490949683059741486867208593824583249056334479045734621233680344231415183154620617449202524516316349116240786899123<241>
prime factors 素因数
74610842161045079324391955019821320047<38>
50795022684656748540761522020145723426527693748368033500982733220263463898460637678469747062901621112650363062432813713110481182338705172420455231495583837762126689843004683970606989196145757157498362109<203>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=390536998
Step 1 took 21228ms
Step 2 took 12963ms
********** Factor found in step 2: 74610842161045079324391955019821320047
Found probable prime factor of 38 digits: 74610842161045079324391955019821320047
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:56 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 56 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:03:09 UTC 2014 年 12 月 20 日 (土) 10 時 3 分 9 秒 (日本時間)

10249-313

c210

composite cofactor 合成数の残り
678074000729477398278300927260400493153516298997104813908435093981414682429050324033446509287825655488565008334432406623778578203143100770338766837261575912452370936236675263447248429340178070854563038543987237<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62220300Serge BatalovDecember 20, 2014 21:21:05 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 5 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:06:16 UTC 2014 年 12 月 21 日 (日) 8 時 6 分 16 秒 (日本時間)
1620Youcef LemsaferJanuary 25, 2021 11:12:24 UTC 2021 年 1 月 25 日 (月) 20 時 12 分 24 秒 (日本時間)
4511e6300 / 3984Youcef LemsaferJanuary 25, 2021 11:12:24 UTC 2021 年 1 月 25 日 (月) 20 時 12 分 24 秒 (日本時間)

10250-313

c230

name 名前Serge Batalov
date 日付December 21, 2014 01:54:25 UTC 2014 年 12 月 21 日 (日) 10 時 54 分 25 秒 (日本時間)
composite number 合成数
15060655960401051564880732200191942586325707884739294331775807357125846233573091705895022270708745105384384486797604714987249051125666101258039148035703202223030400115632450745233740564196809698464773192236622112234191882387499511<230>
prime factors 素因数
1060894881328731339736151142559419563<37>
composite cofactor 合成数の残り
14196181191427882761822369443512169246551591983696712254126859211534554079072848296200534581809764037342619319408679120007988304759114711284801613768265749413928784269613733893729634045397991397<194>
factorization results 素因数分解の結果
Input number is 15060655960401051564880732200191942586325707884739294331775807357125846233573091705895022270708745105384384486797604714987249051125666101258039148035703202223030400115632450745233740564196809698464773192236622112234191882387499511 (230 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=527394306
Step 1 took 18175ms
Step 2 took 11550ms
********** Factor found in step 2: 1060894881328731339736151142559419563
Found probable prime factor of 37 digits: 1060894881328731339736151142559419563
Composite cofactor 14196181191427882761822369443512169246551591983696712254126859211534554079072848296200534581809764037342619319408679120007988304759114711284801613768265749413928784269613733893729634045397991397 has 194 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:21:05 UTC 2014 年 12 月 21 日 (日) 6 時 21 分 5 秒 (日本時間)
4511e6600 / 2304Dmitry DomanovApril 21, 2015 11:03:17 UTC 2015 年 4 月 21 日 (火) 20 時 3 分 17 秒 (日本時間)
5043e6600 / 7407Dmitry DomanovJune 24, 2015 00:05:23 UTC 2015 年 6 月 24 日 (水) 9 時 5 分 23 秒 (日本時間)

10251-313

c173

name 名前Bob Backstrom
date 日付August 24, 2023 07:17:22 UTC 2023 年 8 月 24 日 (木) 16 時 17 分 22 秒 (日本時間)
composite number 合成数
10284420016220625551850761308305061389144357300657206129455796076273780414750337321285644394387022060408416275447705380887670194715180806135435535734305791591931736646138713<173>
prime factors 素因数
36502760848291116027199541019053737878532695446389<50>
281743620954141958008583398947909689767710318851526889828836670804874772611016479304393778546910754057309289525560796200917<123>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 10284420016220625551850761308305061389144357300657206129455796076273780414750337321285644394387022060408416275447705380887670194715180806135435535734305791591931736646138713 (173 digits)
Using B1=79330000, B2=582197020870, polynomial Dickson(30), sigma=1:3623457644
Step 1 took 211218ms
Step 2 took 71597ms
********** Factor found in step 2: 36502760848291116027199541019053737878532695446389
Found prime factor of 50 digits: 36502760848291116027199541019053737878532695446389
Prime cofactor 281743620954141958008583398947909689767710318851526889828836670804874772611016479304393778546910754057309289525560796200917 has 123 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovNovember 12, 2016 22:39:11 UTC 2016 年 11 月 13 日 (日) 7 時 39 分 11 秒 (日本時間)
4511e61500Dmitry DomanovNovember 13, 2016 11:40:57 UTC 2016 年 11 月 13 日 (日) 20 時 40 分 57 秒 (日本時間)
5043e6800 / 7166Dmitry DomanovNovember 21, 2016 00:30:50 UTC 2016 年 11 月 21 日 (月) 9 時 30 分 50 秒 (日本時間)

10252-313

c238

composite cofactor 合成数の残り
4536323631128364211514552746143041070309066668226486783962154475379591400827641486219050805322905947988396888937065548041564307132418977349197541645103294733045244309227212855985085692655693274977509667867713749824474379091659331269250401<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferJanuary 25, 2021 11:13:07 UTC 2021 年 1 月 25 日 (月) 20 時 13 分 7 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferJanuary 25, 2021 11:13:07 UTC 2021 年 1 月 25 日 (月) 20 時 13 分 7 秒 (日本時間)

10253-313

c219

name 名前Youcef Lemsafer
date 日付January 25, 2021 11:18:02 UTC 2021 年 1 月 25 日 (月) 20 時 18 分 2 秒 (日本時間)
composite number 合成数
728673782941418087365815481406281988578468370579036959571524667333749358453004964993558059947133282697613194769892384030545380370852613061018893508200599843336890124618297378798446465316060031920591690256613772947684409<219>
prime factors 素因数
9458793160348739718423289136978369370601<40>
composite cofactor 合成数の残り
77036654739001856562837011148566975879771882950907016191084928445256333285012673076452775747869438856323915477932350732751916828452978028696065250071959796379944787455251123949009<179>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1] [ECM]
Tuned for default
Running on ip-*-*-*-*.ec2.internal
Input number is (10^253-31)/(3*7*61*1260453285131*8499452898214224731) (219 digits)
[Sun Jan 24 15:39:29 2021]
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:3805428672586933085
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
35    40      45      50      55      60      65      70      75      80
324     2351    20272   201449  2247436 2.8e+07 3.9e+08 6e+09   1.1e+11 7.4e+15
Step 1 took 31842ms
Using 26 small primes for NTT
Estimated memory usage: 72.86MB
Initializing tables of differences for F took 25ms
Computing roots of F took 660ms
Building F from its roots took 1058ms
Computing 1/F took 589ms
Initializing table of differences for G took 21ms
Computing roots of G took 593ms
Building G from its roots took 1097ms
Computing roots of G took 594ms
Building G from its roots took 1097ms
Computing G * H took 312ms
Reducing  G * H mod F took 344ms
Computing polyeval(F,G) took 2058ms
Computing product of all F(g_i) took 16ms
Step 2 took 8497ms
********** Factor found in step 2: 9458793160348739718423289136978369370601
Found prime factor of 40 digits: 9458793160348739718423289136978369370601
Composite cofactor ((10^253-31)/(3*7*61*1260453285131*8499452898214224731))/9458793160348739718423289136978369370601 has 179 digits
execution environment 実行環境
Amazon Linux Graviton2, t4g.micro

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferJanuary 25, 2021 11:16:24 UTC 2021 年 1 月 25 日 (月) 20 時 16 分 24 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferJanuary 25, 2021 11:16:24 UTC 2021 年 1 月 25 日 (月) 20 時 16 分 24 秒 (日本時間)

10255-313

c186

composite cofactor 合成数の残り
666086151070534166378018260057528478281217290526644995794537443845159469092430472734875038727579398834589032479366138658143991146837340242751140339337253400320345992855937775909647989503<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6800Dmitry DomanovNovember 18, 2016 11:25:41 UTC 2016 年 11 月 18 日 (金) 20 時 25 分 41 秒 (日本時間)
4511e6400 / 4262Dmitry DomanovJanuary 17, 2017 06:56:51 UTC 2017 年 1 月 17 日 (火) 15 時 56 分 51 秒 (日本時間)

10256-313

c239

composite cofactor 合成数の残り
46520667131092371838906945211994948964013758576541760311141074752292757595582784788061826984720044295354188583064467846316114287712911050981835246203983172770949733352984954148208160752113083594278875293615995536810470312551103760563378209<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferJanuary 26, 2021 09:32:24 UTC 2021 年 1 月 26 日 (火) 18 時 32 分 24 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferJanuary 26, 2021 09:32:24 UTC 2021 年 1 月 26 日 (火) 18 時 32 分 24 秒 (日本時間)

10259-313

c198

name 名前Dmitry Domanov
date 日付January 17, 2017 13:45:21 UTC 2017 年 1 月 17 日 (火) 22 時 45 分 21 秒 (日本時間)
composite number 合成数
284043231976962096916267738123159428712992203674500376274353885107184227328623101615651879793434766201475175475628966073805415169389366283458913253007411015855437324542413581029667818430428739265951<198>
prime factors 素因数
62984861722731124983512660285961164681<38>
4509706367656458596846071690192231035446292783611963521330314836545637221080334740671371276044150231707661430437744067494473676451981563210830107510777913565671<160>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=557930535
Step 1 took 98236ms
Step 2 took 32780ms
********** Factor found in step 2: 62984861722731124983512660285961164681
Found probable prime factor of 38 digits: 62984861722731124983512660285961164681

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6800Dmitry DomanovNovember 18, 2016 11:26:15 UTC 2016 年 11 月 18 日 (金) 20 時 26 分 15 秒 (日本時間)
4511e6400 / 4262Dmitry DomanovJanuary 17, 2017 06:57:32 UTC 2017 年 1 月 17 日 (火) 15 時 57 分 32 秒 (日本時間)

10261-313

c224

composite cofactor 合成数の残り
37082076900240987041309720355042828298205040765527653052812679390688962417052382988799263866212166613202438571745207514734746165690796436782037848332956076506849888860005867226063018835817052197757327202912670121987736310211<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferJanuary 26, 2021 09:32:57 UTC 2021 年 1 月 26 日 (火) 18 時 32 分 57 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferJanuary 26, 2021 09:32:57 UTC 2021 年 1 月 26 日 (火) 18 時 32 分 57 秒 (日本時間)

10264-313

c213

composite cofactor 合成数の残り
137714616578770638554811150260942499610944030311886790163375877329054568949177855796597175230456942154726743547064716050078294644533543162009630094450376982367878021092564393308595584495361562494344477315092238177<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferJanuary 27, 2021 10:09:17 UTC 2021 年 1 月 27 日 (水) 19 時 9 分 17 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferJanuary 27, 2021 10:09:17 UTC 2021 年 1 月 27 日 (水) 19 時 9 分 17 秒 (日本時間)

10266-313

c239

composite cofactor 合成数の残り
15934605412018045153841325630096388615769107767145538636228040436255255257964553047374348540679042838584161497606657565286713585115742375145131329886003928471302291004632410872477418963403731975030182216247614777712756774055075230910222153<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferJanuary 27, 2021 10:09:41 UTC 2021 年 1 月 27 日 (水) 19 時 9 分 41 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferJanuary 28, 2021 07:23:59 UTC 2021 年 1 月 28 日 (木) 16 時 23 分 59 秒 (日本時間)

10267-313

c213

name 名前Youcef Lemsafer
date 日付January 28, 2021 07:26:14 UTC 2021 年 1 月 28 日 (木) 16 時 26 分 14 秒 (日本時間)
composite number 合成数
519219496558149239506495039504707806291277539839520320462934193623585293698133186150407827429374488485533410435595839257960216797475149340913256315860861704365450587112584363499951108071885912116304582567049650839<213>
prime factors 素因数
111048592424509602010620406330680547009<39>
4675606283898759173554194508545228931497189678548868575443797495260544125186740051748616833653603918931073972076728748124520002318766568462258288499178306049575438227666134871<175>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1] [ECM]
Tuned for default
Running on ip-*-*-*-*.ec2.internal
Input number is (10^267-31)/(3*8291399*211221606283*366573948684165699790390999095533921) (213 digits)
[Wed Jan 27 21:16:49 2021]
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:4172341713306320759
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
35 40      45      50      55      60      65      70      75      80
324     2351    20272   201449  2247436 2.8e+07 3.9e+08 6e+09   1.1e+11 7.4e+15
Step 1 took 32174ms
Using 26 small primes for NTT
Estimated memory usage: 72.86MB
Initializing tables of differences for F took 26ms
Computing roots of F took 670ms
Building F from its roots took 1058ms
Computing 1/F took 589ms
Initializing table of differences for G took 20ms
Computing roots of G took 598ms
Building G from its roots took 1084ms
Computing roots of G took 598ms
Building G from its roots took 1095ms
Computing G * H took 303ms
Reducing  G * H mod F took 343ms
Computing polyeval(F,G) took 2069ms
Computing product of all F(g_i) took 16ms
Step 2 took 8501ms
********** Factor found in step 2: 111048592424509602010620406330680547009
Found prime factor of 39 digits: 111048592424509602010620406330680547009
Prime cofactor ((10^267-31)/(3*8291399*211221606283*366573948684165699790390999095533921))/111048592424509602010620406330680547009 has 175 digits
execution environment 実行環境
Amazon Linux Graviton2, t4g.micro

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6881 / 2104Youcef LemsaferJanuary 28, 2021 07:24:35 UTC 2021 年 1 月 28 日 (木) 16 時 24 分 35 秒 (日本時間)

10268-313

c266

composite cofactor 合成数の残り
77519379844961240310077519379844961240310077519379844961240310077519379844961240310077519379844961240310077519379844961240310077519379844961240310077519379844961240310077519379844961240310077519379844961240310077519379844961240310077519379844961240310077519379844961<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferJanuary 28, 2021 09:24:30 UTC 2021 年 1 月 28 日 (木) 18 時 24 分 30 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferJanuary 29, 2021 08:45:45 UTC 2021 年 1 月 29 日 (金) 17 時 45 分 45 秒 (日本時間)

10270-313

c226

composite cofactor 合成数の残り
2275335624338125761401889356855522370214255843235585558281234389039709416678980939110404646556008044091922773072922390356791604796004388085494080320179273982109519771279641078385965867369199248407112001766122448587838580925163<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e62352648iveliveSeptember 11, 2020 05:57:02 UTC 2020 年 9 月 11 日 (金) 14 時 57 分 2 秒 (日本時間)
1704iveliveSeptember 11, 2020 07:11:45 UTC 2020 年 9 月 11 日 (金) 16 時 11 分 45 秒 (日本時間)

10271-313

c245

composite cofactor 合成数の残り
83708103878000824711926767977527671422216455484586217604089342525933256565006545368703164484286597964133496071403130822446981741022093040848429424511090652131346173429782671441257146231903907939658271668807775306034504957413390115717691138159823<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferJanuary 29, 2021 08:46:09 UTC 2021 年 1 月 29 日 (金) 17 時 46 分 9 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferJanuary 29, 2021 13:06:39 UTC 2021 年 1 月 29 日 (金) 22 時 6 分 39 秒 (日本時間)

10273-313

c206

composite cofactor 合成数の残り
14966194923600852962660646025543547660381989223758170603180758113858126234551783003055792846452207102941559464739963378261456308576752715248219717531708569424203677448911784408057776687999808397511539332119<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferJanuary 30, 2021 08:43:56 UTC 2021 年 1 月 30 日 (土) 17 時 43 分 56 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferJanuary 30, 2021 08:43:56 UTC 2021 年 1 月 30 日 (土) 17 時 43 分 56 秒 (日本時間)

10274-313

c214

composite cofactor 合成数の残り
4442167507191275790295070587065464692826696570175769683993023843351426293965229943544263596255286091680995800299922987979807727704790732766655327452366319647092250632779170732900269645505023263729657460001170030233<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferJanuary 30, 2021 08:44:21 UTC 2021 年 1 月 30 日 (土) 17 時 44 分 21 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferJanuary 31, 2021 08:38:47 UTC 2021 年 1 月 31 日 (日) 17 時 38 分 47 秒 (日本時間)

10275-313

c212

composite cofactor 合成数の残り
16909427257361994216667814293505474330174692618986011353637427590245200969877416665523830326949705037576037688628724204263547439912709640977221028752200213146542486621507283015068369038874750777930956653697752947<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferJanuary 31, 2021 08:39:12 UTC 2021 年 1 月 31 日 (日) 17 時 39 分 12 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferJanuary 31, 2021 08:39:12 UTC 2021 年 1 月 31 日 (日) 17 時 39 分 12 秒 (日本時間)

10276-313

c269

composite cofactor 合成数の残り
99712061480064019131952660302843478886020837627183980818590157203044767624530642862605653653943507333871977889448639164684141604289293806275617898195381197715357362544181168041047866077129074371936159950909757892134882100957066279704098474834221219384782563391693805797<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferFebruary 1, 2021 09:36:58 UTC 2021 年 2 月 1 日 (月) 18 時 36 分 58 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferFebruary 1, 2021 09:36:58 UTC 2021 年 2 月 1 日 (月) 18 時 36 分 58 秒 (日本時間)

10278-313

c251

name 名前Youcef Lemsafer
date 日付February 1, 2021 09:34:16 UTC 2021 年 2 月 1 日 (月) 18 時 34 分 16 秒 (日本時間)
composite number 合成数
50696497896591386210586177881678947692821433109397076953094016736677473238241151666168875622386281888825700985477156628811628226778914932532904579081470707079711884571211923926164371333468342596480229425230839224827031236015171673363239882691172788149<251>
prime factors 素因数
283001121864525850240899663531892519579<39>
composite cofactor 合成数の残り
179138858399508644849385018503114946798130735608845488444272402618159322052684027404621469772177627850031903905246995070792686268351574814398272692326453572130444805740684386712074991789253613339667171065067342831<213>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1] [ECM]
Tuned for default
Running on ip-*-*-*-*.ec2.internal
Input number is (10^278-31)/(3*657507613273904721741801727) (251 digits)
[Sun Jan 31 23:34:22 2021]
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:11854855953477238242
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
324     2351    20272   201449  2247436 2.8e+07 3.9e+08 6e+09   1.1e+11 7.4e+15
Step 1 took 40871ms
Using 30 small primes for NTT
Estimated memory usage: 83.52MB
Initializing tables of differences for F took 32ms
Computing roots of F took 825ms
Building F from its roots took 1269ms
Computing 1/F took 715ms
Initializing table of differences for G took 26ms
Computing roots of G took 741ms
Building G from its roots took 1312ms
Computing roots of G took 741ms
Building G from its roots took 1301ms
Computing G * H took 388ms
Reducing  G * H mod F took 414ms
Computing polyeval(F,G) took 2490ms
Computing product of all F(g_i) took 20ms
Step 2 took 10302ms
********** Factor found in step 2: 283001121864525850240899663531892519579
Found prime factor of 39 digits: 283001121864525850240899663531892519579
Composite cofactor ((10^278-31)/(3*657507613273904721741801727))/283001121864525850240899663531892519579 has 213 digits
execution environment 実行環境
Amazon Linux Graviton2, t4g.micro

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferFebruary 2, 2021 08:04:18 UTC 2021 年 2 月 2 日 (火) 17 時 4 分 18 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferFebruary 2, 2021 08:04:18 UTC 2021 年 2 月 2 日 (火) 17 時 4 分 18 秒 (日本時間)

10279-313

c279

name 名前Alfred Reich
date 日付April 28, 2018 19:35:51 UTC 2018 年 4 月 29 日 (日) 4 時 35 分 51 秒 (日本時間)
composite number 合成数
333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323<279>
prime factors 素因数
683879988020855531843693974570809301443699094596561661475690616530795260027595121999433189270322605879651156172622984209245483<126>
487414954629682825615832070972614806528916687946252096353904135012248024359341728973161931019907828745530880376748837466333831896764672674769452527632481<153>
factorization results 素因数分解の結果
Mon Mar 26 00:15:22 2018  
Mon Mar 26 00:15:22 2018  
Mon Mar 26 00:15:22 2018  Msieve v. 1.53 (SVN unknown)
Mon Mar 26 00:15:22 2018  random seeds: 1ce0e084 62ee264c
Mon Mar 26 00:15:22 2018  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (279 digits)
Mon Mar 26 00:15:25 2018  no P-1/P+1/ECM available, skipping
Mon Mar 26 00:15:25 2018  commencing number field sieve (279-digit input)
Mon Mar 26 00:15:25 2018  R0: -10000000000000000000000000000000000000000000000
Mon Mar 26 00:15:25 2018  R1: 1
Mon Mar 26 00:15:25 2018  A0: -31
Mon Mar 26 00:15:25 2018  A1: 0
Mon Mar 26 00:15:25 2018  A2: 0
Mon Mar 26 00:15:25 2018  A3: 0
Mon Mar 26 00:15:25 2018  A4: 0
Mon Mar 26 00:15:25 2018  A5: 0
Mon Mar 26 00:15:25 2018  A6: 1000
Mon Mar 26 00:15:25 2018  skew 0.56, size 6.225e-014, alpha 0.228, combined = 1.454e-014 rroots = 2
Mon Mar 26 00:15:25 2018  
Mon Mar 26 00:15:25 2018  commencing relation filtering
Mon Mar 26 00:15:25 2018  setting target matrix density to 120.0
Mon Mar 26 00:15:25 2018  estimated available RAM is 130995.6 MB
Mon Mar 26 00:15:25 2018  commencing duplicate removal, pass 1
Mon Mar 26 02:51:54 2018  found 59387287 hash collisions in 547808100 relations
Mon Mar 26 02:52:20 2018  commencing duplicate removal, pass 2
Mon Mar 26 02:57:32 2018  found 1 duplicates and 547808099 unique relations
Mon Mar 26 02:57:32 2018  memory use: 2387.0 MB
Mon Mar 26 02:57:33 2018  reading ideals above 720000
Mon Mar 26 02:57:33 2018  commencing singleton removal, initial pass
Mon Mar 26 05:20:51 2018  memory use: 11024.0 MB
Mon Mar 26 05:20:52 2018  reading all ideals from disk
Mon Mar 26 05:21:07 2018  memory use: 23678.0 MB
Mon Mar 26 05:22:57 2018  keeping 584843538 ideals with weight <= 200, target excess is 2942478
Mon Mar 26 05:25:09 2018  commencing in-memory singleton removal
Mon Mar 26 05:26:22 2018  begin with 547808099 relations and 584843538 unique ideals
Mon Mar 26 05:40:17 2018  reduce to 226213728 relations and 211301181 ideals in 23 passes
Mon Mar 26 05:40:17 2018  max relations containing the same ideal: 116
Mon Mar 26 05:42:49 2018  removing 21293118 relations and 19293118 ideals in 2000000 cliques
Mon Mar 26 05:42:55 2018  commencing in-memory singleton removal
Mon Mar 26 05:43:17 2018  begin with 204920610 relations and 211301181 unique ideals
Mon Mar 26 05:48:06 2018  reduce to 203329422 relations and 190396686 ideals in 12 passes
Mon Mar 26 05:48:06 2018  max relations containing the same ideal: 110
Mon Mar 26 05:50:20 2018  removing 15478377 relations and 13478377 ideals in 2000000 cliques
Mon Mar 26 05:50:25 2018  commencing in-memory singleton removal
Mon Mar 26 05:50:45 2018  begin with 187851045 relations and 190396686 unique ideals
Mon Mar 26 05:55:42 2018  reduce to 186902040 relations and 175959079 ideals in 13 passes
Mon Mar 26 05:55:42 2018  max relations containing the same ideal: 103
Mon Mar 26 05:57:39 2018  removing 13621493 relations and 11621493 ideals in 2000000 cliques
Mon Mar 26 05:57:44 2018  commencing in-memory singleton removal
Mon Mar 26 05:58:03 2018  begin with 173280547 relations and 175959079 unique ideals
Mon Mar 26 06:01:04 2018  reduce to 172490974 relations and 163539570 ideals in 9 passes
Mon Mar 26 06:01:04 2018  max relations containing the same ideal: 98
Mon Mar 26 06:02:50 2018  removing 12594897 relations and 10594897 ideals in 2000000 cliques
Mon Mar 26 06:02:54 2018  commencing in-memory singleton removal
Mon Mar 26 06:03:12 2018  begin with 159896077 relations and 163539570 unique ideals
Mon Mar 26 06:06:06 2018  reduce to 159165967 relations and 152206579 ideals in 9 passes
Mon Mar 26 06:06:06 2018  max relations containing the same ideal: 93
Mon Mar 26 06:07:40 2018  removing 11938472 relations and 9938472 ideals in 2000000 cliques
Mon Mar 26 06:07:44 2018  commencing in-memory singleton removal
Mon Mar 26 06:07:59 2018  begin with 147227495 relations and 152206579 unique ideals
Mon Mar 26 06:10:24 2018  reduce to 146521640 relations and 141554097 ideals in 9 passes
Mon Mar 26 06:10:24 2018  max relations containing the same ideal: 87
Mon Mar 26 06:11:49 2018  removing 9324229 relations and 7769961 ideals in 1554268 cliques
Mon Mar 26 06:11:52 2018  commencing in-memory singleton removal
Mon Mar 26 06:12:06 2018  begin with 137197411 relations and 141554097 unique ideals
Mon Mar 26 06:14:28 2018  reduce to 136748953 relations and 133331357 ideals in 10 passes
Mon Mar 26 06:14:28 2018  max relations containing the same ideal: 85
Mon Mar 26 06:16:05 2018  relations with 0 large ideals: 112857
Mon Mar 26 06:16:05 2018  relations with 1 large ideals: 77607
Mon Mar 26 06:16:05 2018  relations with 2 large ideals: 970215
Mon Mar 26 06:16:05 2018  relations with 3 large ideals: 5545083
Mon Mar 26 06:16:05 2018  relations with 4 large ideals: 17330141
Mon Mar 26 06:16:05 2018  relations with 5 large ideals: 32178716
Mon Mar 26 06:16:05 2018  relations with 6 large ideals: 36844521
Mon Mar 26 06:16:05 2018  relations with 7+ large ideals: 43689813
Mon Mar 26 06:16:05 2018  commencing 2-way merge
Mon Mar 26 06:17:55 2018  reduce to 80868127 relation sets and 77450532 unique ideals
Mon Mar 26 06:17:55 2018  ignored 1 oversize relation sets
Mon Mar 26 06:17:55 2018  commencing full merge
Mon Mar 26 06:59:32 2018  memory use: 9767.0 MB
Mon Mar 26 06:59:46 2018  found 36293355 cycles, need 36216732
Mon Mar 26 06:59:49 2018  weight of 36216732 cycles is about 4346164099 (120.00/cycle)
Mon Mar 26 06:59:49 2018  distribution of cycle lengths:
Mon Mar 26 06:59:49 2018  1 relations: 2622371
Mon Mar 26 06:59:49 2018  2 relations: 2862942
Mon Mar 26 06:59:49 2018  3 relations: 2964518
Mon Mar 26 06:59:49 2018  4 relations: 2823488
Mon Mar 26 06:59:49 2018  5 relations: 2679745
Mon Mar 26 06:59:49 2018  6 relations: 2503740
Mon Mar 26 06:59:49 2018  7 relations: 2297349
Mon Mar 26 06:59:49 2018  8 relations: 2128547
Mon Mar 26 06:59:49 2018  9 relations: 1942303
Mon Mar 26 06:59:49 2018  10+ relations: 13391729
Mon Mar 26 06:59:49 2018  heaviest cycle: 28 relations
Mon Mar 26 06:59:59 2018  commencing cycle optimization
Mon Mar 26 07:01:08 2018  start with 308518041 relations
Mon Mar 26 07:17:54 2018  pruned 10279289 relations
Mon Mar 26 07:17:55 2018  memory use: 8738.0 MB
Mon Mar 26 07:17:55 2018  distribution of cycle lengths:
Mon Mar 26 07:17:55 2018  1 relations: 2622371
Mon Mar 26 07:17:55 2018  2 relations: 2930215
Mon Mar 26 07:17:55 2018  3 relations: 3079958
Mon Mar 26 07:17:55 2018  4 relations: 2915187
Mon Mar 26 07:17:55 2018  5 relations: 2775963
Mon Mar 26 07:17:55 2018  6 relations: 2574355
Mon Mar 26 07:17:55 2018  7 relations: 2364299
Mon Mar 26 07:17:55 2018  8 relations: 2174781
Mon Mar 26 07:17:55 2018  9 relations: 1976467
Mon Mar 26 07:17:55 2018  10+ relations: 12803136
Mon Mar 26 07:17:55 2018  heaviest cycle: 28 relations
Mon Mar 26 07:22:11 2018  RelProcTime: 25606
Mon Mar 26 07:22:11 2018  
Mon Mar 26 07:22:11 2018  commencing linear algebra
Mon Mar 26 07:22:17 2018  read 36216732 cycles
Mon Mar 26 07:23:39 2018  cycles contain 133887469 unique relations
Mon Mar 26 07:41:27 2018  read 133887469 relations
Mon Mar 26 07:46:28 2018  using 20 quadratic characters above 4294917296
Mon Mar 26 07:55:02 2018  building initial matrix
Mon Mar 26 08:21:27 2018  memory use: 17624.4 MB
Mon Mar 26 08:22:09 2018  read 36216732 cycles
Mon Mar 26 08:22:20 2018  matrix is 36216555 x 36216732 (17216.4 MB) with weight 4969029071 (137.20/col)
Mon Mar 26 08:22:20 2018  sparse part has weight 4114803046 (113.62/col)
Mon Mar 26 08:35:09 2018  filtering completed in 2 passes
Mon Mar 26 08:35:22 2018  matrix is 36213564 x 36213741 (17216.2 MB) with weight 4968916727 (137.21/col)
Mon Mar 26 08:35:22 2018  sparse part has weight 4114766611 (113.62/col)
Mon Mar 26 08:39:14 2018  matrix starts at (0, 0)
Mon Mar 26 08:39:24 2018  matrix is 36213564 x 36213741 (17216.2 MB) with weight 4968916727 (137.21/col)
Mon Mar 26 08:39:24 2018  sparse part has weight 4114766611 (113.62/col)
Mon Mar 26 08:39:24 2018  saving the first 48 matrix rows for later
Mon Mar 26 08:39:37 2018  matrix includes 64 packed rows
Mon Mar 26 08:39:44 2018  matrix is 36213516 x 36213741 (16559.7 MB) with weight 4255872586 (117.52/col)
Mon Mar 26 08:39:44 2018  sparse part has weight 3978888545 (109.87/col)
Mon Mar 26 08:39:44 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Mon Mar 26 08:44:35 2018  commencing Lanczos iteration (32 threads)
Mon Mar 26 08:44:35 2018  memory use: 14537.7 MB
Mon Mar 26 08:45:44 2018  linear algebra at 0.0%, ETA 424h39m
Mon Mar 26 08:46:06 2018  checkpointing every 90000 dimensions
Tue Mar 27 07:59:11 2018  lanczos halted after 13554 iterations (dim = 857106)
Tue Mar 27 08:04:31 2018  BLanczosTime: 88940
Tue Mar 27 08:04:31 2018  
Tue Mar 27 08:04:31 2018  commencing square root phase
Tue Mar 27 08:04:31 2018  handling dependencies 1 to 64
Tue Mar 27 08:04:31 2018  reading relations for dependency 1
Tue Mar 27 08:04:31 2018  error: read_cycles can't open dependency file
Tue Mar 27 08:11:57 2018  
Tue Mar 27 08:11:57 2018  
Tue Mar 27 08:11:57 2018  Msieve v. 1.53 (SVN unknown)
Tue Mar 27 08:11:57 2018  random seeds: 07ff408c e69fa424
Tue Mar 27 08:11:57 2018  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (279 digits)
Tue Mar 27 08:11:58 2018  no P-1/P+1/ECM available, skipping
Tue Mar 27 08:11:58 2018  commencing number field sieve (279-digit input)
Tue Mar 27 08:11:58 2018  R0: -10000000000000000000000000000000000000000000000
Tue Mar 27 08:11:58 2018  R1: 1
Tue Mar 27 08:11:58 2018  A0: -31
Tue Mar 27 08:11:58 2018  A1: 0
Tue Mar 27 08:11:58 2018  A2: 0
Tue Mar 27 08:11:58 2018  A3: 0
Tue Mar 27 08:11:58 2018  A4: 0
Tue Mar 27 08:11:58 2018  A5: 0
Tue Mar 27 08:11:58 2018  A6: 1000
Tue Mar 27 08:11:58 2018  skew 0.56, size 6.225e-014, alpha 0.228, combined = 1.454e-014 rroots = 2
Tue Mar 27 08:11:58 2018  
Tue Mar 27 08:11:58 2018  commencing linear algebra
Tue Mar 27 08:14:13 2018  matrix starts at (0, 0)
Tue Mar 27 08:14:23 2018  matrix is 36213564 x 36213741 (17216.2 MB) with weight 4968916727 (137.21/col)
Tue Mar 27 08:14:23 2018  sparse part has weight 4114766611 (113.62/col)
Tue Mar 27 08:14:23 2018  saving the first 48 matrix rows for later
Tue Mar 27 08:14:34 2018  matrix includes 64 packed rows
Tue Mar 27 08:14:40 2018  matrix is 36213516 x 36213741 (16559.7 MB) with weight 4255872586 (117.52/col)
Tue Mar 27 08:14:40 2018  sparse part has weight 3978888545 (109.87/col)
Tue Mar 27 08:14:40 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Tue Mar 27 08:19:15 2018  commencing Lanczos iteration (24 threads)
Tue Mar 27 08:19:15 2018  memory use: 14537.5 MB
Tue Mar 27 08:19:16 2018  restarting at iteration 13554 (dim = 857106)
Tue Mar 27 08:20:02 2018  checkpointing every 80000 dimensions
Tue Mar 27 08:20:28 2018  linear algebra at 2.4%, ETA 465h48m
Tue Mar 27 20:31:41 2018  lanczos halted after 26580 iterations (dim = 1680855)
Tue Mar 27 20:32:41 2018  BLanczosTime: 44443
Tue Mar 27 20:32:41 2018  elapsed time 12:20:44
Tue Mar 27 20:33:38 2018  
Tue Mar 27 20:33:38 2018  
Tue Mar 27 20:33:38 2018  Msieve v. 1.54 (SVN 1018)
Tue Mar 27 20:33:38 2018  random seeds: 4902b7a8 8969e3ca
Tue Mar 27 20:33:38 2018  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (279 digits)
Tue Mar 27 20:33:39 2018  searching for 15-digit factors
Tue Mar 27 20:33:40 2018  commencing number field sieve (279-digit input)
Tue Mar 27 20:33:40 2018  R0: -10000000000000000000000000000000000000000000000
Tue Mar 27 20:33:40 2018  R1: 1
Tue Mar 27 20:33:40 2018  A0: -31
Tue Mar 27 20:33:40 2018  A1: 0
Tue Mar 27 20:33:40 2018  A2: 0
Tue Mar 27 20:33:40 2018  A3: 0
Tue Mar 27 20:33:40 2018  A4: 0
Tue Mar 27 20:33:40 2018  A5: 0
Tue Mar 27 20:33:40 2018  A6: 1000
Tue Mar 27 20:33:40 2018  skew 0.56, size 6.225e-014, alpha 0.228, combined = 1.454e-014 rroots = 2
Tue Mar 27 20:33:40 2018  
Tue Mar 27 20:33:40 2018  commencing linear algebra
Tue Mar 27 20:33:54 2018  matrix starts at (0, 0)
Tue Mar 27 20:34:00 2018  matrix is 36213564 x 36213741 (17216.2 MB) with weight 4968916727 (137.21/col)
Tue Mar 27 20:34:00 2018  sparse part has weight 4114766611 (113.62/col)
Tue Mar 27 20:34:00 2018  saving the first 48 matrix rows for later
Tue Mar 27 20:34:11 2018  matrix includes 64 packed rows
Tue Mar 27 20:34:17 2018  matrix is 36213516 x 36213741 (16559.7 MB) with weight 4255872586 (117.52/col)
Tue Mar 27 20:34:17 2018  sparse part has weight 3978888545 (109.87/col)
Tue Mar 27 20:34:17 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Tue Mar 27 20:39:23 2018  commencing Lanczos iteration (32 threads)
Tue Mar 27 20:39:24 2018  memory use: 14537.7 MB
Tue Mar 27 20:39:24 2018  restarting at iteration 26580 (dim = 1680855)
Tue Mar 27 20:40:27 2018  checkpointing every 70000 dimensions
Tue Mar 27 20:40:43 2018  linear algebra at 4.6%, ETA 500h10m
Wed Mar 28 00:52:33 2018  lanczos halted after 31348 iterations (dim = 1982333)
Wed Mar 28 00:53:27 2018  BLanczosTime: 15587
Wed Mar 28 00:53:27 2018  elapsed time 04:19:49
Wed Mar 28 08:25:19 2018  
Wed Mar 28 08:25:19 2018  
Wed Mar 28 08:25:19 2018  Msieve v. 1.54 (SVN 1018)
Wed Mar 28 08:25:19 2018  random seeds: 15eeaed8 43e0e48e
Wed Mar 28 08:25:19 2018  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (279 digits)
Wed Mar 28 08:25:20 2018  searching for 15-digit factors
Wed Mar 28 08:25:21 2018  commencing number field sieve (279-digit input)
Wed Mar 28 08:25:21 2018  R0: -10000000000000000000000000000000000000000000000
Wed Mar 28 08:25:21 2018  R1: 1
Wed Mar 28 08:25:21 2018  A0: -31
Wed Mar 28 08:25:21 2018  A1: 0
Wed Mar 28 08:25:21 2018  A2: 0
Wed Mar 28 08:25:21 2018  A3: 0
Wed Mar 28 08:25:21 2018  A4: 0
Wed Mar 28 08:25:21 2018  A5: 0
Wed Mar 28 08:25:21 2018  A6: 1000
Wed Mar 28 08:25:21 2018  skew 0.56, size 6.225e-014, alpha 0.228, combined = 1.454e-014 rroots = 2
Wed Mar 28 08:25:21 2018  
Wed Mar 28 08:25:21 2018  commencing linear algebra
Wed Mar 28 08:27:34 2018  matrix starts at (0, 0)
Wed Mar 28 08:27:40 2018  matrix is 36213564 x 36213741 (17216.2 MB) with weight 4968916727 (137.21/col)
Wed Mar 28 08:27:40 2018  sparse part has weight 4114766611 (113.62/col)
Wed Mar 28 08:27:40 2018  saving the first 48 matrix rows for later
Wed Mar 28 08:27:51 2018  matrix includes 64 packed rows
Wed Mar 28 08:27:56 2018  matrix is 36213516 x 36213741 (16559.7 MB) with weight 4255872586 (117.52/col)
Wed Mar 28 08:27:56 2018  sparse part has weight 3978888545 (109.87/col)
Wed Mar 28 08:27:56 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Wed Mar 28 08:32:37 2018  commencing Lanczos iteration (32 threads)
Wed Mar 28 08:32:37 2018  memory use: 14537.7 MB
Wed Mar 28 08:32:47 2018  restarting at iteration 31348 (dim = 1982333)
Wed Mar 28 08:34:00 2018  linear algebra at 5.5%, ETA 457h15m
Wed Mar 28 08:34:09 2018  checkpointing every 80000 dimensions
Thu Mar 29 00:49:01 2018  lanczos halted after 51777 iterations (dim = 3274047)
Thu Mar 29 00:49:55 2018  BLanczosTime: 59074
Thu Mar 29 00:49:55 2018  elapsed time 16:24:36
Thu Mar 29 08:39:00 2018  
Thu Mar 29 08:39:00 2018  
Thu Mar 29 08:39:00 2018  Msieve v. 1.54 (SVN 1018)
Thu Mar 29 08:39:00 2018  random seeds: a79f93e8 0428b565
Thu Mar 29 08:39:00 2018  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (279 digits)
Thu Mar 29 08:39:01 2018  searching for 15-digit factors
Thu Mar 29 08:39:02 2018  commencing number field sieve (279-digit input)
Thu Mar 29 08:39:02 2018  R0: -10000000000000000000000000000000000000000000000
Thu Mar 29 08:39:02 2018  R1: 1
Thu Mar 29 08:39:02 2018  A0: -31
Thu Mar 29 08:39:02 2018  A1: 0
Thu Mar 29 08:39:02 2018  A2: 0
Thu Mar 29 08:39:02 2018  A3: 0
Thu Mar 29 08:39:02 2018  A4: 0
Thu Mar 29 08:39:02 2018  A5: 0
Thu Mar 29 08:39:02 2018  A6: 1000
Thu Mar 29 08:39:02 2018  skew 0.56, size 6.225e-014, alpha 0.228, combined = 1.454e-014 rroots = 2
Thu Mar 29 08:39:02 2018  
Thu Mar 29 08:39:02 2018  commencing linear algebra
Thu Mar 29 08:41:20 2018  matrix starts at (0, 0)
Thu Mar 29 08:41:26 2018  matrix is 36213564 x 36213741 (17216.2 MB) with weight 4968916727 (137.21/col)
Thu Mar 29 08:41:26 2018  sparse part has weight 4114766611 (113.62/col)
Thu Mar 29 08:41:26 2018  saving the first 48 matrix rows for later
Thu Mar 29 08:41:37 2018  matrix includes 64 packed rows
Thu Mar 29 08:41:42 2018  matrix is 36213516 x 36213741 (16559.7 MB) with weight 4255872586 (117.52/col)
Thu Mar 29 08:41:42 2018  sparse part has weight 3978888545 (109.87/col)
Thu Mar 29 08:41:42 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Thu Mar 29 08:46:23 2018  commencing Lanczos iteration (32 threads)
Thu Mar 29 08:46:23 2018  memory use: 14537.7 MB
Thu Mar 29 08:46:31 2018  restarting at iteration 51777 (dim = 3274047)
Thu Mar 29 08:47:39 2018  linear algebra at 9.0%, ETA 407h58m
Thu Mar 29 08:47:58 2018  checkpointing every 90000 dimensions
Fri Mar 30 00:57:24 2018  lanczos halted after 72393 iterations (dim = 4577987)
Fri Mar 30 00:58:18 2018  BLanczosTime: 58756
Fri Mar 30 00:58:18 2018  elapsed time 16:19:18
Fri Mar 30 07:40:42 2018  
Fri Mar 30 07:40:42 2018  
Fri Mar 30 07:40:42 2018  Msieve v. 1.54 (SVN 1018)
Fri Mar 30 07:40:42 2018  random seeds: 207fed24 12e29636
Fri Mar 30 07:40:42 2018  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (279 digits)
Fri Mar 30 07:40:44 2018  searching for 15-digit factors
Fri Mar 30 07:40:44 2018  commencing number field sieve (279-digit input)
Fri Mar 30 07:40:44 2018  R0: -10000000000000000000000000000000000000000000000
Fri Mar 30 07:40:44 2018  R1: 1
Fri Mar 30 07:40:44 2018  A0: -31
Fri Mar 30 07:40:44 2018  A1: 0
Fri Mar 30 07:40:44 2018  A2: 0
Fri Mar 30 07:40:44 2018  A3: 0
Fri Mar 30 07:40:44 2018  A4: 0
Fri Mar 30 07:40:44 2018  A5: 0
Fri Mar 30 07:40:44 2018  A6: 1000
Fri Mar 30 07:40:44 2018  skew 0.56, size 6.225e-014, alpha 0.228, combined = 1.454e-014 rroots = 2
Fri Mar 30 07:40:44 2018  
Fri Mar 30 07:40:44 2018  commencing linear algebra
Fri Mar 30 07:42:56 2018  matrix starts at (0, 0)
Fri Mar 30 07:43:01 2018  matrix is 36213564 x 36213741 (17216.2 MB) with weight 4968916727 (137.21/col)
Fri Mar 30 07:43:01 2018  sparse part has weight 4114766611 (113.62/col)
Fri Mar 30 07:43:01 2018  saving the first 48 matrix rows for later
Fri Mar 30 07:43:13 2018  matrix includes 64 packed rows
Fri Mar 30 07:43:18 2018  matrix is 36213516 x 36213741 (16559.7 MB) with weight 4255872586 (117.52/col)
Fri Mar 30 07:43:18 2018  sparse part has weight 3978888545 (109.87/col)
Fri Mar 30 07:43:18 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Fri Mar 30 07:48:13 2018  commencing Lanczos iteration (32 threads)
Fri Mar 30 07:48:13 2018  memory use: 14537.7 MB
Fri Mar 30 07:48:21 2018  restarting at iteration 72393 (dim = 4577987)
Fri Mar 30 07:49:30 2018  linear algebra at 12.6%, ETA 399h56m
Fri Mar 30 07:49:52 2018  checkpointing every 80000 dimensions
Fri Mar 30 14:36:25 2018  lanczos halted after 80994 iterations (dim = 5121820)
Fri Mar 30 14:39:25 2018  BLanczosTime: 25121
Fri Mar 30 14:39:25 2018  elapsed time 06:58:43
Fri Mar 30 16:38:12 2018  
Fri Mar 30 16:38:12 2018  
Fri Mar 30 16:38:12 2018  Msieve v. 1.54 (SVN 1018)
Fri Mar 30 16:38:12 2018  random seeds: 1be888b0 ec377a41
Fri Mar 30 16:38:12 2018  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (279 digits)
Fri Mar 30 16:38:13 2018  searching for 15-digit factors
Fri Mar 30 16:38:14 2018  commencing number field sieve (279-digit input)
Fri Mar 30 16:38:14 2018  R0: -10000000000000000000000000000000000000000000000
Fri Mar 30 16:38:14 2018  R1: 1
Fri Mar 30 16:38:14 2018  A0: -31
Fri Mar 30 16:38:14 2018  A1: 0
Fri Mar 30 16:38:14 2018  A2: 0
Fri Mar 30 16:38:14 2018  A3: 0
Fri Mar 30 16:38:14 2018  A4: 0
Fri Mar 30 16:38:14 2018  A5: 0
Fri Mar 30 16:38:14 2018  A6: 1000
Fri Mar 30 16:38:14 2018  skew 0.56, size 6.225e-014, alpha 0.228, combined = 1.454e-014 rroots = 2
Fri Mar 30 16:38:14 2018  
Fri Mar 30 16:38:14 2018  commencing linear algebra
Fri Mar 30 16:40:27 2018  matrix starts at (0, 0)
Fri Mar 30 16:40:33 2018  matrix is 36213564 x 36213741 (17216.2 MB) with weight 4968916727 (137.21/col)
Fri Mar 30 16:40:33 2018  sparse part has weight 4114766611 (113.62/col)
Fri Mar 30 16:40:33 2018  saving the first 48 matrix rows for later
Fri Mar 30 16:40:44 2018  matrix includes 64 packed rows
Fri Mar 30 16:40:50 2018  matrix is 36213516 x 36213741 (16559.7 MB) with weight 4255872586 (117.52/col)
Fri Mar 30 16:40:50 2018  sparse part has weight 3978888545 (109.87/col)
Fri Mar 30 16:40:50 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Fri Mar 30 16:45:45 2018  commencing Lanczos iteration (32 threads)
Fri Mar 30 16:45:45 2018  memory use: 14537.7 MB
Fri Mar 30 16:45:55 2018  restarting at iteration 80994 (dim = 5121820)
Fri Mar 30 16:47:03 2018  linear algebra at 14.1%, ETA 386h36m
Fri Mar 30 16:47:33 2018  checkpointing every 90000 dimensions
Sat Mar 31 00:04:15 2018  lanczos halted after 90179 iterations (dim = 5702796)
Sat Mar 31 00:08:06 2018  BLanczosTime: 26992
Sat Mar 31 00:08:06 2018  elapsed time 07:29:54
Sat Mar 31 00:17:02 2018  
Sat Mar 31 00:17:02 2018  
Sat Mar 31 00:17:02 2018  Msieve v. 1.54 (SVN 1018)
Sat Mar 31 00:17:02 2018  random seeds: 288e7ed4 fe32257f
Sat Mar 31 00:17:02 2018  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (279 digits)
Sat Mar 31 00:17:04 2018  searching for 15-digit factors
Sat Mar 31 00:17:04 2018  commencing number field sieve (279-digit input)
Sat Mar 31 00:17:04 2018  R0: -10000000000000000000000000000000000000000000000
Sat Mar 31 00:17:04 2018  R1: 1
Sat Mar 31 00:17:04 2018  A0: -31
Sat Mar 31 00:17:04 2018  A1: 0
Sat Mar 31 00:17:04 2018  A2: 0
Sat Mar 31 00:17:04 2018  A3: 0
Sat Mar 31 00:17:04 2018  A4: 0
Sat Mar 31 00:17:04 2018  A5: 0
Sat Mar 31 00:17:04 2018  A6: 1000
Sat Mar 31 00:17:04 2018  skew 0.56, size 6.225e-014, alpha 0.228, combined = 1.454e-014 rroots = 2
Sat Mar 31 00:17:04 2018  
Sat Mar 31 00:17:04 2018  commencing linear algebra
Sat Mar 31 00:19:00 2018  matrix starts at (0, 0)
Sat Mar 31 00:19:05 2018  matrix is 36213564 x 36213741 (17216.2 MB) with weight 4968916727 (137.21/col)
Sat Mar 31 00:19:05 2018  sparse part has weight 4114766611 (113.62/col)
Sat Mar 31 00:19:05 2018  saving the first 48 matrix rows for later
Sat Mar 31 00:19:18 2018  matrix includes 64 packed rows
Sat Mar 31 00:19:25 2018  matrix is 36213516 x 36213741 (16559.7 MB) with weight 4255872586 (117.52/col)
Sat Mar 31 00:19:25 2018  sparse part has weight 3978888545 (109.87/col)
Sat Mar 31 00:19:25 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Sat Mar 31 00:24:09 2018  commencing Lanczos iteration (32 threads)
Sat Mar 31 00:24:09 2018  memory use: 14537.7 MB
Sat Mar 31 00:24:17 2018  restarting at iteration 90179 (dim = 5702796)
Sat Mar 31 00:25:15 2018  checkpointing every 80000 dimensions
Sat Mar 31 00:25:25 2018  linear algebra at 15.8%, ETA 379h23m
Sat Mar 31 01:17:34 2018  lanczos halted after 91316 iterations (dim = 5774690)
Sat Mar 31 01:18:26 2018  BLanczosTime: 3682
Sat Mar 31 01:18:26 2018  elapsed time 01:01:24
Sat Mar 31 07:32:56 2018  
Sat Mar 31 07:32:56 2018  
Sat Mar 31 07:32:56 2018  Msieve v. 1.54 (SVN 1018)
Sat Mar 31 07:32:56 2018  random seeds: 09f64a4c 7bf2a084
Sat Mar 31 07:32:56 2018  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (279 digits)
Sat Mar 31 07:32:58 2018  searching for 15-digit factors
Sat Mar 31 07:32:58 2018  commencing number field sieve (279-digit input)
Sat Mar 31 07:32:58 2018  R0: -10000000000000000000000000000000000000000000000
Sat Mar 31 07:32:58 2018  R1: 1
Sat Mar 31 07:32:58 2018  A0: -31
Sat Mar 31 07:32:58 2018  A1: 0
Sat Mar 31 07:32:58 2018  A2: 0
Sat Mar 31 07:32:58 2018  A3: 0
Sat Mar 31 07:32:58 2018  A4: 0
Sat Mar 31 07:32:58 2018  A5: 0
Sat Mar 31 07:32:58 2018  A6: 1000
Sat Mar 31 07:32:58 2018  skew 0.56, size 6.225e-014, alpha 0.228, combined = 1.454e-014 rroots = 2
Sat Mar 31 07:32:58 2018  
Sat Mar 31 07:32:58 2018  commencing linear algebra
Sat Mar 31 07:35:04 2018  matrix starts at (0, 0)
Sat Mar 31 07:35:09 2018  matrix is 36213564 x 36213741 (17216.2 MB) with weight 4968916727 (137.21/col)
Sat Mar 31 07:35:09 2018  sparse part has weight 4114766611 (113.62/col)
Sat Mar 31 07:35:09 2018  saving the first 48 matrix rows for later
Sat Mar 31 07:35:20 2018  matrix includes 64 packed rows
Sat Mar 31 07:35:25 2018  matrix is 36213516 x 36213741 (16559.7 MB) with weight 4255872586 (117.52/col)
Sat Mar 31 07:35:25 2018  sparse part has weight 3978888545 (109.87/col)
Sat Mar 31 07:35:25 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Sat Mar 31 07:40:20 2018  commencing Lanczos iteration (32 threads)
Sat Mar 31 07:40:20 2018  memory use: 14537.7 MB
Sat Mar 31 07:40:30 2018  restarting at iteration 91316 (dim = 5774690)
Sat Mar 31 07:41:30 2018  checkpointing every 80000 dimensions
Sat Mar 31 07:41:39 2018  linear algebra at 16.0%, ETA 383h33m
Sun Apr 01 01:03:09 2018  lanczos halted after 112579 iterations (dim = 7119262)
Sun Apr 01 01:04:09 2018  BLanczosTime: 63071
Sun Apr 01 01:04:09 2018  elapsed time 17:31:13
Sun Apr 01 07:46:31 2018  
Sun Apr 01 07:46:31 2018  
Sun Apr 01 07:46:31 2018  Msieve v. 1.54 (SVN 1018)
Sun Apr 01 07:46:31 2018  random seeds: 5bbd87a0 df5ff6b5
Sun Apr 01 07:46:31 2018  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (279 digits)
Sun Apr 01 07:46:33 2018  searching for 15-digit factors
Sun Apr 01 07:46:33 2018  commencing number field sieve (279-digit input)
Sun Apr 01 07:46:33 2018  R0: -10000000000000000000000000000000000000000000000
Sun Apr 01 07:46:33 2018  R1: 1
Sun Apr 01 07:46:33 2018  A0: -31
Sun Apr 01 07:46:33 2018  A1: 0
Sun Apr 01 07:46:33 2018  A2: 0
Sun Apr 01 07:46:33 2018  A3: 0
Sun Apr 01 07:46:33 2018  A4: 0
Sun Apr 01 07:46:33 2018  A5: 0
Sun Apr 01 07:46:33 2018  A6: 1000
Sun Apr 01 07:46:33 2018  skew 0.56, size 6.225e-014, alpha 0.228, combined = 1.454e-014 rroots = 2
Sun Apr 01 07:46:33 2018  
Sun Apr 01 07:46:33 2018  commencing linear algebra
Sun Apr 01 07:49:17 2018  matrix starts at (0, 0)
Sun Apr 01 07:49:24 2018  matrix is 36213564 x 36213741 (17216.2 MB) with weight 4968916727 (137.21/col)
Sun Apr 01 07:49:24 2018  sparse part has weight 4114766611 (113.62/col)
Sun Apr 01 07:49:24 2018  saving the first 48 matrix rows for later
Sun Apr 01 07:49:38 2018  matrix includes 64 packed rows
Sun Apr 01 07:49:44 2018  matrix is 36213516 x 36213741 (16559.7 MB) with weight 4255872586 (117.52/col)
Sun Apr 01 07:49:44 2018  sparse part has weight 3978888545 (109.87/col)
Sun Apr 01 07:49:44 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Sun Apr 01 07:56:01 2018  commencing Lanczos iteration (32 threads)
Sun Apr 01 07:56:01 2018  memory use: 14537.7 MB
Sun Apr 01 07:56:11 2018  restarting at iteration 112579 (dim = 7119262)
Sun Apr 01 07:57:00 2018  checkpointing every 60000 dimensions
Sun Apr 01 07:57:49 2018  linear algebra at 19.7%, ETA 524h29m
Sun Apr 01 08:17:35 2018  lanczos halted after 112877 iterations (dim = 7138098)
Sun Apr 01 08:19:22 2018  BLanczosTime: 1969
Sun Apr 01 08:19:22 2018  elapsed time 00:32:51
Sun Apr 01 12:10:38 2018  
Sun Apr 01 12:10:38 2018  
Sun Apr 01 12:10:38 2018  Msieve v. 1.54 (SVN 1018)
Sun Apr 01 12:10:38 2018  random seeds: e20865b8 70990873
Sun Apr 01 12:10:38 2018  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (279 digits)
Sun Apr 01 12:10:39 2018  searching for 15-digit factors
Sun Apr 01 12:10:40 2018  commencing number field sieve (279-digit input)
Sun Apr 01 12:10:40 2018  R0: -10000000000000000000000000000000000000000000000
Sun Apr 01 12:10:40 2018  R1: 1
Sun Apr 01 12:10:40 2018  A0: -31
Sun Apr 01 12:10:40 2018  A1: 0
Sun Apr 01 12:10:40 2018  A2: 0
Sun Apr 01 12:10:40 2018  A3: 0
Sun Apr 01 12:10:40 2018  A4: 0
Sun Apr 01 12:10:40 2018  A5: 0
Sun Apr 01 12:10:40 2018  A6: 1000
Sun Apr 01 12:10:40 2018  skew 0.56, size 6.225e-014, alpha 0.228, combined = 1.454e-014 rroots = 2
Sun Apr 01 12:10:40 2018  
Sun Apr 01 12:10:40 2018  commencing linear algebra
Sun Apr 01 12:10:55 2018  matrix starts at (0, 0)
Sun Apr 01 12:11:02 2018  matrix is 36213564 x 36213741 (17216.2 MB) with weight 4968916727 (137.21/col)
Sun Apr 01 12:11:02 2018  sparse part has weight 4114766611 (113.62/col)
Sun Apr 01 12:11:02 2018  saving the first 48 matrix rows for later
Sun Apr 01 12:11:16 2018  matrix includes 64 packed rows
Sun Apr 01 12:11:23 2018  matrix is 36213516 x 36213741 (16559.7 MB) with weight 4255872586 (117.52/col)
Sun Apr 01 12:11:23 2018  sparse part has weight 3978888545 (109.87/col)
Sun Apr 01 12:11:23 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Sun Apr 01 12:16:06 2018  commencing Lanczos iteration (32 threads)
Sun Apr 01 12:16:06 2018  memory use: 14537.7 MB
Sun Apr 01 12:16:07 2018  restarting at iteration 112877 (dim = 7138098)
Sun Apr 01 12:17:13 2018  linear algebra at 19.7%, ETA 350h40m
Sun Apr 01 12:17:32 2018  checkpointing every 90000 dimensions
Mon Apr 02 00:34:24 2018  lanczos halted after 128392 iterations (dim = 8119126)
Mon Apr 02 00:35:19 2018  BLanczosTime: 44679
Mon Apr 02 00:35:19 2018  elapsed time 12:24:41
Mon Apr 02 07:15:48 2018  
Mon Apr 02 07:15:48 2018  
Mon Apr 02 07:15:48 2018  Msieve v. 1.54 (SVN 1018)
Mon Apr 02 07:15:48 2018  random seeds: ca7f80a4 3fba902e
Mon Apr 02 07:15:48 2018  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (279 digits)
Mon Apr 02 07:15:50 2018  searching for 15-digit factors
Mon Apr 02 07:15:50 2018  commencing number field sieve (279-digit input)
Mon Apr 02 07:15:50 2018  R0: -10000000000000000000000000000000000000000000000
Mon Apr 02 07:15:50 2018  R1: 1
Mon Apr 02 07:15:50 2018  A0: -31
Mon Apr 02 07:15:50 2018  A1: 0
Mon Apr 02 07:15:50 2018  A2: 0
Mon Apr 02 07:15:50 2018  A3: 0
Mon Apr 02 07:15:50 2018  A4: 0
Mon Apr 02 07:15:50 2018  A5: 0
Mon Apr 02 07:15:50 2018  A6: 1000
Mon Apr 02 07:15:50 2018  skew 0.56, size 6.225e-014, alpha 0.228, combined = 1.454e-014 rroots = 2
Mon Apr 02 07:15:50 2018  
Mon Apr 02 07:15:50 2018  commencing linear algebra
Mon Apr 02 07:16:05 2018  matrix starts at (0, 0)
Mon Apr 02 07:16:10 2018  matrix is 36213564 x 36213741 (17216.2 MB) with weight 4968916727 (137.21/col)
Mon Apr 02 07:16:10 2018  sparse part has weight 4114766611 (113.62/col)
Mon Apr 02 07:16:10 2018  saving the first 48 matrix rows for later
Mon Apr 02 07:16:23 2018  matrix includes 64 packed rows
Mon Apr 02 07:16:31 2018  matrix is 36213516 x 36213741 (16559.7 MB) with weight 4255872586 (117.52/col)
Mon Apr 02 07:16:31 2018  sparse part has weight 3978888545 (109.87/col)
Mon Apr 02 07:16:31 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Mon Apr 02 07:21:30 2018  commencing Lanczos iteration (32 threads)
Mon Apr 02 07:21:30 2018  memory use: 14537.7 MB
Mon Apr 02 07:21:31 2018  restarting at iteration 128392 (dim = 8119126)
Mon Apr 02 07:22:09 2018  checkpointing every 90000 dimensions
Mon Apr 02 07:22:37 2018  linear algebra at 22.4%, ETA 339h 3m
Mon Apr 02 23:07:09 2018  lanczos halted after 147597 iterations (dim = 9333643)
Mon Apr 02 23:08:04 2018  BLanczosTime: 57134
Mon Apr 02 23:08:04 2018  elapsed time 15:52:16
Tue Apr 03 08:26:40 2018  
Tue Apr 03 08:26:40 2018  
Tue Apr 03 08:26:40 2018  Msieve v. 1.54 (SVN 1018)
Tue Apr 03 08:26:40 2018  random seeds: e82317e0 ef1cab56
Tue Apr 03 08:26:40 2018  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (279 digits)
Tue Apr 03 08:26:41 2018  searching for 15-digit factors
Tue Apr 03 08:26:42 2018  commencing number field sieve (279-digit input)
Tue Apr 03 08:26:42 2018  R0: -10000000000000000000000000000000000000000000000
Tue Apr 03 08:26:42 2018  R1: 1
Tue Apr 03 08:26:42 2018  A0: -31
Tue Apr 03 08:26:42 2018  A1: 0
Tue Apr 03 08:26:42 2018  A2: 0
Tue Apr 03 08:26:42 2018  A3: 0
Tue Apr 03 08:26:42 2018  A4: 0
Tue Apr 03 08:26:42 2018  A5: 0
Tue Apr 03 08:26:42 2018  A6: 1000
Tue Apr 03 08:26:42 2018  skew 0.56, size 6.225e-014, alpha 0.228, combined = 1.454e-014 rroots = 2
Tue Apr 03 08:26:42 2018  
Tue Apr 03 08:26:42 2018  commencing linear algebra
Tue Apr 03 08:28:38 2018  matrix starts at (0, 0)
Tue Apr 03 08:28:43 2018  matrix is 36213564 x 36213741 (17216.2 MB) with weight 4968916727 (137.21/col)
Tue Apr 03 08:28:43 2018  sparse part has weight 4114766611 (113.62/col)
Tue Apr 03 08:28:43 2018  saving the first 48 matrix rows for later
Tue Apr 03 08:28:54 2018  matrix includes 64 packed rows
Tue Apr 03 08:28:58 2018  matrix is 36213516 x 36213741 (16559.7 MB) with weight 4255872586 (117.52/col)
Tue Apr 03 08:28:58 2018  sparse part has weight 3978888545 (109.87/col)
Tue Apr 03 08:28:58 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Tue Apr 03 08:33:41 2018  commencing Lanczos iteration (32 threads)
Tue Apr 03 08:33:41 2018  memory use: 14537.7 MB
Tue Apr 03 08:33:49 2018  restarting at iteration 147597 (dim = 9333643)
Tue Apr 03 08:34:55 2018  linear algebra at 25.8%, ETA 325h 2m
Tue Apr 03 08:35:35 2018  checkpointing every 90000 dimensions
Thu Apr 05 00:33:26 2018  lanczos halted after 188852 iterations (dim = 11942449)
Thu Apr 05 00:34:24 2018  BLanczosTime: 144462
Thu Apr 05 00:34:24 2018  elapsed time 40:07:44
Thu Apr 05 07:11:17 2018  
Thu Apr 05 07:11:17 2018  
Thu Apr 05 07:11:17 2018  Msieve v. 1.54 (SVN 1018)
Thu Apr 05 07:11:17 2018  random seeds: a3ff0f70 e8762429
Thu Apr 05 07:11:17 2018  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (279 digits)
Thu Apr 05 07:11:19 2018  searching for 15-digit factors
Thu Apr 05 07:11:19 2018  commencing number field sieve (279-digit input)
Thu Apr 05 07:11:19 2018  R0: -10000000000000000000000000000000000000000000000
Thu Apr 05 07:11:19 2018  R1: 1
Thu Apr 05 07:11:19 2018  A0: -31
Thu Apr 05 07:11:19 2018  A1: 0
Thu Apr 05 07:11:19 2018  A2: 0
Thu Apr 05 07:11:19 2018  A3: 0
Thu Apr 05 07:11:19 2018  A4: 0
Thu Apr 05 07:11:19 2018  A5: 0
Thu Apr 05 07:11:19 2018  A6: 1000
Thu Apr 05 07:11:19 2018  skew 0.56, size 6.225e-014, alpha 0.228, combined = 1.454e-014 rroots = 2
Thu Apr 05 07:11:19 2018  
Thu Apr 05 07:11:19 2018  commencing linear algebra
Thu Apr 05 07:13:30 2018  matrix starts at (0, 0)
Thu Apr 05 07:13:35 2018  matrix is 36213564 x 36213741 (17216.2 MB) with weight 4968916727 (137.21/col)
Thu Apr 05 07:13:35 2018  sparse part has weight 4114766611 (113.62/col)
Thu Apr 05 07:13:35 2018  saving the first 48 matrix rows for later
Thu Apr 05 07:13:46 2018  matrix includes 64 packed rows
Thu Apr 05 07:13:51 2018  matrix is 36213516 x 36213741 (16559.7 MB) with weight 4255872586 (117.52/col)
Thu Apr 05 07:13:51 2018  sparse part has weight 3978888545 (109.87/col)
Thu Apr 05 07:13:51 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Thu Apr 05 07:18:29 2018  commencing Lanczos iteration (32 threads)
Thu Apr 05 07:18:29 2018  memory use: 14537.7 MB
Thu Apr 05 07:18:36 2018  restarting at iteration 188852 (dim = 11942449)
Thu Apr 05 07:19:47 2018  linear algebra at 33.0%, ETA 315h 6m
Thu Apr 05 07:19:50 2018  checkpointing every 80000 dimensions
Fri Apr 06 00:16:40 2018  lanczos halted after 209521 iterations (dim = 13249584)
Fri Apr 06 00:17:35 2018  BLanczosTime: 61576
Fri Apr 06 00:17:35 2018  elapsed time 17:06:18
Fri Apr 06 07:17:20 2018  
Fri Apr 06 07:17:21 2018  
Fri Apr 06 07:17:21 2018  Msieve v. 1.54 (SVN 1018)
Fri Apr 06 07:17:21 2018  random seeds: 2f31d0b4 4edff4a9
Fri Apr 06 07:17:21 2018  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (279 digits)
Fri Apr 06 07:17:22 2018  searching for 15-digit factors
Fri Apr 06 07:17:23 2018  commencing number field sieve (279-digit input)
Fri Apr 06 07:17:23 2018  R0: -10000000000000000000000000000000000000000000000
Fri Apr 06 07:17:23 2018  R1: 1
Fri Apr 06 07:17:23 2018  A0: -31
Fri Apr 06 07:17:23 2018  A1: 0
Fri Apr 06 07:17:23 2018  A2: 0
Fri Apr 06 07:17:23 2018  A3: 0
Fri Apr 06 07:17:23 2018  A4: 0
Fri Apr 06 07:17:23 2018  A5: 0
Fri Apr 06 07:17:23 2018  A6: 1000
Fri Apr 06 07:17:23 2018  skew 0.56, size 6.225e-014, alpha 0.228, combined = 1.454e-014 rroots = 2
Fri Apr 06 07:17:23 2018  
Fri Apr 06 07:17:23 2018  commencing linear algebra
Fri Apr 06 07:19:21 2018  matrix starts at (0, 0)
Fri Apr 06 07:19:26 2018  matrix is 36213564 x 36213741 (17216.2 MB) with weight 4968916727 (137.21/col)
Fri Apr 06 07:19:26 2018  sparse part has weight 4114766611 (113.62/col)
Fri Apr 06 07:19:26 2018  saving the first 48 matrix rows for later
Fri Apr 06 07:19:37 2018  matrix includes 64 packed rows
Fri Apr 06 07:19:42 2018  matrix is 36213516 x 36213741 (16559.7 MB) with weight 4255872586 (117.52/col)
Fri Apr 06 07:19:42 2018  sparse part has weight 3978888545 (109.87/col)
Fri Apr 06 07:19:42 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Fri Apr 06 07:24:38 2018  commencing Lanczos iteration (32 threads)
Fri Apr 06 07:24:38 2018  memory use: 14537.7 MB
Fri Apr 06 07:24:48 2018  restarting at iteration 209521 (dim = 13249584)
Fri Apr 06 07:25:09 2018  checkpointing every 80000 dimensions
Fri Apr 06 07:26:00 2018  linear algebra at 36.6%, ETA 303h 8m
Sat Apr 07 01:03:10 2018  lanczos halted after 231438 iterations (dim = 14635623)
Sat Apr 07 01:04:01 2018  BLanczosTime: 63998
Sat Apr 07 01:04:01 2018  elapsed time 17:46:40
Sat Apr 07 07:15:52 2018  
Sat Apr 07 07:15:52 2018  
Sat Apr 07 07:15:52 2018  Msieve v. 1.54 (SVN 1018)
Sat Apr 07 07:15:52 2018  random seeds: 6dc748a0 1f9cc730
Sat Apr 07 07:15:52 2018  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (279 digits)
Sat Apr 07 07:15:53 2018  searching for 15-digit factors
Sat Apr 07 07:15:54 2018  commencing number field sieve (279-digit input)
Sat Apr 07 07:15:54 2018  R0: -10000000000000000000000000000000000000000000000
Sat Apr 07 07:15:54 2018  R1: 1
Sat Apr 07 07:15:54 2018  A0: -31
Sat Apr 07 07:15:54 2018  A1: 0
Sat Apr 07 07:15:54 2018  A2: 0
Sat Apr 07 07:15:54 2018  A3: 0
Sat Apr 07 07:15:54 2018  A4: 0
Sat Apr 07 07:15:54 2018  A5: 0
Sat Apr 07 07:15:54 2018  A6: 1000
Sat Apr 07 07:15:54 2018  skew 0.56, size 6.225e-014, alpha 0.228, combined = 1.454e-014 rroots = 2
Sat Apr 07 07:15:54 2018  
Sat Apr 07 07:15:54 2018  commencing linear algebra
Sat Apr 07 07:18:10 2018  matrix starts at (0, 0)
Sat Apr 07 07:18:15 2018  matrix is 36213564 x 36213741 (17216.2 MB) with weight 4968916727 (137.21/col)
Sat Apr 07 07:18:15 2018  sparse part has weight 4114766611 (113.62/col)
Sat Apr 07 07:18:15 2018  saving the first 48 matrix rows for later
Sat Apr 07 07:18:25 2018  matrix includes 64 packed rows
Sat Apr 07 07:18:30 2018  matrix is 36213516 x 36213741 (16559.7 MB) with weight 4255872586 (117.52/col)
Sat Apr 07 07:18:30 2018  sparse part has weight 3978888545 (109.87/col)
Sat Apr 07 07:18:30 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Sat Apr 07 07:23:12 2018  commencing Lanczos iteration (32 threads)
Sat Apr 07 07:23:12 2018  memory use: 14537.7 MB
Sat Apr 07 07:23:23 2018  restarting at iteration 231438 (dim = 14635623)
Sat Apr 07 07:24:29 2018  linear algebra at 40.4%, ETA 261h47m
Sat Apr 07 07:25:08 2018  checkpointing every 90000 dimensions
Sun Apr 08 00:43:11 2018  lanczos halted after 253139 iterations (dim = 16007814)
Sun Apr 08 00:44:04 2018  BLanczosTime: 62890
Sun Apr 08 00:44:04 2018  elapsed time 17:28:12
Wed Apr 11 16:51:26 2018  
Wed Apr 11 16:51:26 2018  
Wed Apr 11 16:51:26 2018  Msieve v. 1.54 (SVN 1018)
Wed Apr 11 16:51:26 2018  random seeds: cab33c48 98a497c6
Wed Apr 11 16:51:26 2018  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (279 digits)
Wed Apr 11 16:51:28 2018  searching for 15-digit factors
Wed Apr 11 16:51:28 2018  commencing number field sieve (279-digit input)
Wed Apr 11 16:51:28 2018  R0: -10000000000000000000000000000000000000000000000
Wed Apr 11 16:51:28 2018  R1: 1
Wed Apr 11 16:51:28 2018  A0: -31
Wed Apr 11 16:51:28 2018  A1: 0
Wed Apr 11 16:51:28 2018  A2: 0
Wed Apr 11 16:51:28 2018  A3: 0
Wed Apr 11 16:51:28 2018  A4: 0
Wed Apr 11 16:51:28 2018  A5: 0
Wed Apr 11 16:51:28 2018  A6: 1000
Wed Apr 11 16:51:28 2018  skew 0.56, size 6.225e-014, alpha 0.228, combined = 1.454e-014 rroots = 2
Wed Apr 11 16:51:28 2018  
Wed Apr 11 16:51:28 2018  commencing linear algebra
Wed Apr 11 16:53:30 2018  matrix starts at (0, 0)
Wed Apr 11 16:53:36 2018  matrix is 36213564 x 36213741 (17216.2 MB) with weight 4968916727 (137.21/col)
Wed Apr 11 16:53:36 2018  sparse part has weight 4114766611 (113.62/col)
Wed Apr 11 16:53:36 2018  saving the first 48 matrix rows for later
Wed Apr 11 16:53:49 2018  matrix includes 64 packed rows
Wed Apr 11 16:53:56 2018  matrix is 36213516 x 36213741 (16559.7 MB) with weight 4255872586 (117.52/col)
Wed Apr 11 16:53:56 2018  sparse part has weight 3978888545 (109.87/col)
Wed Apr 11 16:53:56 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Wed Apr 11 16:59:10 2018  commencing Lanczos iteration (32 threads)
Wed Apr 11 16:59:10 2018  memory use: 14537.7 MB
Wed Apr 11 16:59:20 2018  restarting at iteration 253139 (dim = 16007814)
Wed Apr 11 17:00:38 2018  linear algebra at 44.2%, ETA 288h57m
Wed Apr 11 17:01:14 2018  checkpointing every 70000 dimensions
Fri Apr 13 18:30:18 2018  lanczos halted after 289900 iterations (dim = 18332076)
Fri Apr 13 18:31:16 2018  BLanczosTime: 178788
Fri Apr 13 18:31:16 2018  elapsed time 49:39:50
Fri Apr 13 18:41:43 2018  
Fri Apr 13 18:41:43 2018  
Fri Apr 13 18:41:43 2018  Msieve v. 1.54 (SVN 1018)
Fri Apr 13 18:41:43 2018  random seeds: 1ed0d0cc dcaaf23a
Fri Apr 13 18:41:43 2018  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (279 digits)
Fri Apr 13 18:41:45 2018  searching for 15-digit factors
Fri Apr 13 18:41:45 2018  commencing number field sieve (279-digit input)
Fri Apr 13 18:41:45 2018  R0: -10000000000000000000000000000000000000000000000
Fri Apr 13 18:41:45 2018  R1: 1
Fri Apr 13 18:41:45 2018  A0: -31
Fri Apr 13 18:41:45 2018  A1: 0
Fri Apr 13 18:41:45 2018  A2: 0
Fri Apr 13 18:41:45 2018  A3: 0
Fri Apr 13 18:41:45 2018  A4: 0
Fri Apr 13 18:41:45 2018  A5: 0
Fri Apr 13 18:41:45 2018  A6: 1000
Fri Apr 13 18:41:45 2018  skew 0.56, size 6.225e-014, alpha 0.228, combined = 1.454e-014 rroots = 2
Fri Apr 13 18:41:45 2018  
Fri Apr 13 18:41:45 2018  commencing linear algebra
Fri Apr 13 18:43:54 2018  matrix starts at (0, 0)
Fri Apr 13 18:44:01 2018  matrix is 36213564 x 36213741 (17216.2 MB) with weight 4968916727 (137.21/col)
Fri Apr 13 18:44:01 2018  sparse part has weight 4114766611 (113.62/col)
Fri Apr 13 18:44:01 2018  saving the first 48 matrix rows for later
Fri Apr 13 18:44:15 2018  matrix includes 64 packed rows
Fri Apr 13 18:44:23 2018  matrix is 36213516 x 36213741 (16559.7 MB) with weight 4255872586 (117.52/col)
Fri Apr 13 18:44:23 2018  sparse part has weight 3978888545 (109.87/col)
Fri Apr 13 18:44:23 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Fri Apr 13 18:49:23 2018  commencing Lanczos iteration (32 threads)
Fri Apr 13 18:49:23 2018  memory use: 14537.7 MB
Fri Apr 13 18:49:23 2018  restarting at iteration 289900 (dim = 18332076)
Fri Apr 13 18:50:32 2018  linear algebra at 50.6%, ETA 224h52m
Fri Apr 13 18:50:53 2018  checkpointing every 80000 dimensions
Sat Apr 14 00:26:26 2018  lanczos halted after 296603 iterations (dim = 18755981)
Sat Apr 14 00:27:22 2018  BLanczosTime: 20737
Sat Apr 14 00:27:22 2018  elapsed time 05:45:39
Sat Apr 14 08:18:49 2018  
Sat Apr 14 08:18:49 2018  
Sat Apr 14 08:18:49 2018  Msieve v. 1.54 (SVN 1018)
Sat Apr 14 08:18:49 2018  random seeds: 1dac67c0 27a82186
Sat Apr 14 08:18:49 2018  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (279 digits)
Sat Apr 14 08:18:50 2018  searching for 15-digit factors
Sat Apr 14 08:18:51 2018  commencing number field sieve (279-digit input)
Sat Apr 14 08:18:51 2018  R0: -10000000000000000000000000000000000000000000000
Sat Apr 14 08:18:51 2018  R1: 1
Sat Apr 14 08:18:51 2018  A0: -31
Sat Apr 14 08:18:51 2018  A1: 0
Sat Apr 14 08:18:51 2018  A2: 0
Sat Apr 14 08:18:51 2018  A3: 0
Sat Apr 14 08:18:51 2018  A4: 0
Sat Apr 14 08:18:51 2018  A5: 0
Sat Apr 14 08:18:51 2018  A6: 1000
Sat Apr 14 08:18:51 2018  skew 0.56, size 6.225e-014, alpha 0.228, combined = 1.454e-014 rroots = 2
Sat Apr 14 08:18:51 2018  
Sat Apr 14 08:18:51 2018  commencing linear algebra
Sat Apr 14 08:21:06 2018  matrix starts at (0, 0)
Sat Apr 14 08:21:11 2018  matrix is 36213564 x 36213741 (17216.2 MB) with weight 4968916727 (137.21/col)
Sat Apr 14 08:21:11 2018  sparse part has weight 4114766611 (113.62/col)
Sat Apr 14 08:21:11 2018  saving the first 48 matrix rows for later
Sat Apr 14 08:21:22 2018  matrix includes 64 packed rows
Sat Apr 14 08:21:28 2018  matrix is 36213516 x 36213741 (16559.7 MB) with weight 4255872586 (117.52/col)
Sat Apr 14 08:21:28 2018  sparse part has weight 3978888545 (109.87/col)
Sat Apr 14 08:21:28 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Sat Apr 14 08:26:24 2018  commencing Lanczos iteration (32 threads)
Sat Apr 14 08:26:24 2018  memory use: 14537.7 MB
Sat Apr 14 08:26:34 2018  restarting at iteration 296603 (dim = 18755981)
Sat Apr 14 08:27:42 2018  linear algebra at 51.8%, ETA 217h47m
Sat Apr 14 08:28:08 2018  checkpointing every 80000 dimensions
Sun Apr 15 00:54:54 2018  lanczos halted after 315778 iterations (dim = 19968356)
Sun Apr 15 00:55:52 2018  BLanczosTime: 59821
Sun Apr 15 00:55:52 2018  elapsed time 16:37:03
Sun Apr 15 07:50:55 2018  
Sun Apr 15 07:50:55 2018  
Sun Apr 15 07:50:55 2018  Msieve v. 1.54 (SVN 1018)
Sun Apr 15 07:50:55 2018  random seeds: 477c9bb4 c4a44c46
Sun Apr 15 07:50:55 2018  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (279 digits)
Sun Apr 15 07:50:57 2018  searching for 15-digit factors
Sun Apr 15 07:50:57 2018  commencing number field sieve (279-digit input)
Sun Apr 15 07:50:57 2018  R0: -10000000000000000000000000000000000000000000000
Sun Apr 15 07:50:57 2018  R1: 1
Sun Apr 15 07:50:57 2018  A0: -31
Sun Apr 15 07:50:57 2018  A1: 0
Sun Apr 15 07:50:57 2018  A2: 0
Sun Apr 15 07:50:57 2018  A3: 0
Sun Apr 15 07:50:57 2018  A4: 0
Sun Apr 15 07:50:57 2018  A5: 0
Sun Apr 15 07:50:57 2018  A6: 1000
Sun Apr 15 07:50:57 2018  skew 0.56, size 6.225e-014, alpha 0.228, combined = 1.454e-014 rroots = 2
Sun Apr 15 07:50:57 2018  
Sun Apr 15 07:50:57 2018  commencing linear algebra
Sun Apr 15 07:53:15 2018  matrix starts at (0, 0)
Sun Apr 15 07:53:22 2018  matrix is 36213564 x 36213741 (17216.2 MB) with weight 4968916727 (137.21/col)
Sun Apr 15 07:53:22 2018  sparse part has weight 4114766611 (113.62/col)
Sun Apr 15 07:53:22 2018  saving the first 48 matrix rows for later
Sun Apr 15 07:53:34 2018  matrix includes 64 packed rows
Sun Apr 15 07:53:40 2018  matrix is 36213516 x 36213741 (16559.7 MB) with weight 4255872586 (117.52/col)
Sun Apr 15 07:53:40 2018  sparse part has weight 3978888545 (109.87/col)
Sun Apr 15 07:53:40 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Sun Apr 15 07:58:29 2018  commencing Lanczos iteration (32 threads)
Sun Apr 15 07:58:29 2018  memory use: 14537.7 MB
Sun Apr 15 07:58:38 2018  restarting at iteration 315778 (dim = 19968356)
Sun Apr 15 07:59:52 2018  linear algebra at 55.1%, ETA 219h31m
Sun Apr 15 07:59:59 2018  checkpointing every 80000 dimensions
Sun Apr 15 23:29:32 2018  lanczos halted after 331461 iterations (dim = 20960052)
Sun Apr 15 23:30:28 2018  BLanczosTime: 56371
Sun Apr 15 23:30:28 2018  elapsed time 15:39:33
Mon Apr 16 13:46:49 2018  
Mon Apr 16 13:46:49 2018  
Mon Apr 16 13:46:49 2018  Msieve v. 1.54 (SVN 1018)
Mon Apr 16 13:46:49 2018  random seeds: a7589458 c6bfd10b
Mon Apr 16 13:46:49 2018  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (279 digits)
Mon Apr 16 13:46:50 2018  searching for 15-digit factors
Mon Apr 16 13:46:50 2018  commencing number field sieve (279-digit input)
Mon Apr 16 13:46:50 2018  R0: -10000000000000000000000000000000000000000000000
Mon Apr 16 13:46:50 2018  R1: 1
Mon Apr 16 13:46:50 2018  A0: -31
Mon Apr 16 13:46:50 2018  A1: 0
Mon Apr 16 13:46:50 2018  A2: 0
Mon Apr 16 13:46:50 2018  A3: 0
Mon Apr 16 13:46:50 2018  A4: 0
Mon Apr 16 13:46:50 2018  A5: 0
Mon Apr 16 13:46:50 2018  A6: 1000
Mon Apr 16 13:46:50 2018  skew 0.56, size 6.225e-014, alpha 0.228, combined = 1.454e-014 rroots = 2
Mon Apr 16 13:46:50 2018  
Mon Apr 16 13:46:50 2018  commencing linear algebra
Mon Apr 16 13:48:47 2018  matrix starts at (0, 0)
Mon Apr 16 13:48:52 2018  matrix is 36213564 x 36213741 (17216.2 MB) with weight 4968916727 (137.21/col)
Mon Apr 16 13:48:52 2018  sparse part has weight 4114766611 (113.62/col)
Mon Apr 16 13:48:52 2018  saving the first 48 matrix rows for later
Mon Apr 16 13:49:03 2018  matrix includes 64 packed rows
Mon Apr 16 13:49:08 2018  matrix is 36213516 x 36213741 (16559.7 MB) with weight 4255872586 (117.52/col)
Mon Apr 16 13:49:08 2018  sparse part has weight 3978888545 (109.87/col)
Mon Apr 16 13:49:08 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Mon Apr 16 13:53:42 2018  commencing Lanczos iteration (32 threads)
Mon Apr 16 13:53:42 2018  memory use: 14537.7 MB
Mon Apr 16 13:53:51 2018  restarting at iteration 331461 (dim = 20960052)
Mon Apr 16 13:54:58 2018  linear algebra at 57.9%, ETA 187h44m
Mon Apr 16 13:55:17 2018  checkpointing every 90000 dimensions
Mon Apr 16 23:53:22 2018  lanczos halted after 344256 iterations (dim = 21769119)
Mon Apr 16 23:54:16 2018  BLanczosTime: 36446
Mon Apr 16 23:54:16 2018  elapsed time 10:07:27
Tue Apr 17 06:43:27 2018  
Tue Apr 17 06:43:27 2018  
Tue Apr 17 06:43:27 2018  Msieve v. 1.54 (SVN 1018)
Tue Apr 17 06:43:27 2018  random seeds: 15615418 4fc80b65
Tue Apr 17 06:43:27 2018  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (279 digits)
Tue Apr 17 06:43:28 2018  searching for 15-digit factors
Tue Apr 17 06:43:29 2018  commencing number field sieve (279-digit input)
Tue Apr 17 06:43:29 2018  R0: -10000000000000000000000000000000000000000000000
Tue Apr 17 06:43:29 2018  R1: 1
Tue Apr 17 06:43:29 2018  A0: -31
Tue Apr 17 06:43:29 2018  A1: 0
Tue Apr 17 06:43:29 2018  A2: 0
Tue Apr 17 06:43:29 2018  A3: 0
Tue Apr 17 06:43:29 2018  A4: 0
Tue Apr 17 06:43:29 2018  A5: 0
Tue Apr 17 06:43:29 2018  A6: 1000
Tue Apr 17 06:43:29 2018  skew 0.56, size 6.225e-014, alpha 0.228, combined = 1.454e-014 rroots = 2
Tue Apr 17 06:43:29 2018  
Tue Apr 17 06:43:29 2018  commencing linear algebra
Tue Apr 17 06:45:47 2018  matrix starts at (0, 0)
Tue Apr 17 06:45:52 2018  matrix is 36213564 x 36213741 (17216.2 MB) with weight 4968916727 (137.21/col)
Tue Apr 17 06:45:52 2018  sparse part has weight 4114766611 (113.62/col)
Tue Apr 17 06:45:52 2018  saving the first 48 matrix rows for later
Tue Apr 17 06:46:02 2018  matrix includes 64 packed rows
Tue Apr 17 06:46:07 2018  matrix is 36213516 x 36213741 (16559.7 MB) with weight 4255872586 (117.52/col)
Tue Apr 17 06:46:07 2018  sparse part has weight 3978888545 (109.87/col)
Tue Apr 17 06:46:07 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Tue Apr 17 06:50:40 2018  commencing Lanczos iteration (32 threads)
Tue Apr 17 06:50:40 2018  memory use: 14537.7 MB
Tue Apr 17 06:50:50 2018  restarting at iteration 344256 (dim = 21769119)
Tue Apr 17 06:51:29 2018  checkpointing every 90000 dimensions
Tue Apr 17 06:51:57 2018  linear algebra at 60.1%, ETA 177h25m
Tue Apr 17 23:26:56 2018  lanczos halted after 365504 iterations (dim = 23112621)
Tue Apr 17 23:27:48 2018  BLanczosTime: 60259
Tue Apr 17 23:27:48 2018  elapsed time 16:44:21
Wed Apr 18 12:41:09 2018  
Wed Apr 18 12:41:09 2018  
Wed Apr 18 12:41:09 2018  Msieve v. 1.54 (SVN 1018)
Wed Apr 18 12:41:09 2018  random seeds: d120d2c8 e0f1fe85
Wed Apr 18 12:41:09 2018  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (279 digits)
Wed Apr 18 12:41:11 2018  searching for 15-digit factors
Wed Apr 18 12:41:12 2018  commencing number field sieve (279-digit input)
Wed Apr 18 12:41:12 2018  R0: -10000000000000000000000000000000000000000000000
Wed Apr 18 12:41:12 2018  R1: 1
Wed Apr 18 12:41:12 2018  A0: -31
Wed Apr 18 12:41:12 2018  A1: 0
Wed Apr 18 12:41:12 2018  A2: 0
Wed Apr 18 12:41:12 2018  A3: 0
Wed Apr 18 12:41:12 2018  A4: 0
Wed Apr 18 12:41:12 2018  A5: 0
Wed Apr 18 12:41:12 2018  A6: 1000
Wed Apr 18 12:41:12 2018  skew 0.56, size 6.225e-014, alpha 0.228, combined = 1.454e-014 rroots = 2
Wed Apr 18 12:41:12 2018  
Wed Apr 18 12:41:12 2018  commencing linear algebra
Wed Apr 18 12:43:42 2018  matrix starts at (0, 0)
Wed Apr 18 12:43:47 2018  matrix is 36213564 x 36213741 (17216.2 MB) with weight 4968916727 (137.21/col)
Wed Apr 18 12:43:47 2018  sparse part has weight 4114766611 (113.62/col)
Wed Apr 18 12:43:47 2018  saving the first 48 matrix rows for later
Wed Apr 18 12:43:58 2018  matrix includes 64 packed rows
Wed Apr 18 12:44:04 2018  matrix is 36213516 x 36213741 (16559.7 MB) with weight 4255872586 (117.52/col)
Wed Apr 18 12:44:04 2018  sparse part has weight 3978888545 (109.87/col)
Wed Apr 18 12:44:04 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Wed Apr 18 12:48:57 2018  commencing Lanczos iteration (32 threads)
Wed Apr 18 12:48:57 2018  memory use: 14537.7 MB
Wed Apr 18 12:49:06 2018  restarting at iteration 365504 (dim = 23112621)
Wed Apr 18 12:50:08 2018  checkpointing every 90000 dimensions
Wed Apr 18 12:50:13 2018  linear algebra at 63.8%, ETA 161h20m
Fri Apr 20 00:13:38 2018  lanczos halted after 391943 iterations (dim = 24784585)
Fri Apr 20 00:14:36 2018  BLanczosTime: 128004
Fri Apr 20 00:14:36 2018  elapsed time 35:33:27
Fri Apr 20 08:48:39 2018  
Fri Apr 20 08:48:39 2018  
Fri Apr 20 08:48:39 2018  Msieve v. 1.54 (SVN 1018)
Fri Apr 20 08:48:39 2018  random seeds: 265f98e0 fc0121f5
Fri Apr 20 08:48:39 2018  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (279 digits)
Fri Apr 20 08:48:41 2018  searching for 15-digit factors
Fri Apr 20 08:48:41 2018  commencing number field sieve (279-digit input)
Fri Apr 20 08:48:41 2018  R0: -10000000000000000000000000000000000000000000000
Fri Apr 20 08:48:41 2018  R1: 1
Fri Apr 20 08:48:41 2018  A0: -31
Fri Apr 20 08:48:41 2018  A1: 0
Fri Apr 20 08:48:41 2018  A2: 0
Fri Apr 20 08:48:41 2018  A3: 0
Fri Apr 20 08:48:41 2018  A4: 0
Fri Apr 20 08:48:41 2018  A5: 0
Fri Apr 20 08:48:41 2018  A6: 1000
Fri Apr 20 08:48:41 2018  skew 0.56, size 6.225e-014, alpha 0.228, combined = 1.454e-014 rroots = 2
Fri Apr 20 08:48:41 2018  
Fri Apr 20 08:48:41 2018  commencing linear algebra
Fri Apr 20 08:50:49 2018  matrix starts at (0, 0)
Fri Apr 20 08:50:54 2018  matrix is 36213564 x 36213741 (17216.2 MB) with weight 4968916727 (137.21/col)
Fri Apr 20 08:50:54 2018  sparse part has weight 4114766611 (113.62/col)
Fri Apr 20 08:50:54 2018  saving the first 48 matrix rows for later
Fri Apr 20 08:51:07 2018  matrix includes 64 packed rows
Fri Apr 20 08:51:12 2018  matrix is 36213516 x 36213741 (16559.7 MB) with weight 4255872586 (117.52/col)
Fri Apr 20 08:51:12 2018  sparse part has weight 3978888545 (109.87/col)
Fri Apr 20 08:51:12 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Fri Apr 20 08:56:07 2018  commencing Lanczos iteration (32 threads)
Fri Apr 20 08:56:07 2018  memory use: 14537.7 MB
Fri Apr 20 08:56:16 2018  restarting at iteration 391943 (dim = 24784585)
Fri Apr 20 08:57:20 2018  checkpointing every 90000 dimensions
Fri Apr 20 08:57:23 2018  linear algebra at 68.4%, ETA 139h49m
Sat Apr 21 01:00:11 2018  lanczos halted after 410179 iterations (dim = 25937646)
Sat Apr 21 01:01:08 2018  BLanczosTime: 58347
Sat Apr 21 01:01:08 2018  elapsed time 16:12:29
Sat Apr 21 09:41:44 2018  
Sat Apr 21 09:41:44 2018  
Sat Apr 21 09:41:44 2018  Msieve v. 1.54 (SVN 1018)
Sat Apr 21 09:41:44 2018  random seeds: 454d2188 35b77e7c
Sat Apr 21 09:41:44 2018  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (279 digits)
Sat Apr 21 09:41:45 2018  searching for 15-digit factors
Sat Apr 21 09:41:46 2018  commencing number field sieve (279-digit input)
Sat Apr 21 09:41:46 2018  R0: -10000000000000000000000000000000000000000000000
Sat Apr 21 09:41:46 2018  R1: 1
Sat Apr 21 09:41:46 2018  A0: -31
Sat Apr 21 09:41:46 2018  A1: 0
Sat Apr 21 09:41:46 2018  A2: 0
Sat Apr 21 09:41:46 2018  A3: 0
Sat Apr 21 09:41:46 2018  A4: 0
Sat Apr 21 09:41:46 2018  A5: 0
Sat Apr 21 09:41:46 2018  A6: 1000
Sat Apr 21 09:41:46 2018  skew 0.56, size 6.225e-014, alpha 0.228, combined = 1.454e-014 rroots = 2
Sat Apr 21 09:41:46 2018  
Sat Apr 21 09:41:46 2018  commencing linear algebra
Sat Apr 21 09:43:47 2018  matrix starts at (0, 0)
Sat Apr 21 09:43:54 2018  matrix is 36213564 x 36213741 (17216.2 MB) with weight 4968916727 (137.21/col)
Sat Apr 21 09:43:54 2018  sparse part has weight 4114766611 (113.62/col)
Sat Apr 21 09:43:54 2018  saving the first 48 matrix rows for later
Sat Apr 21 09:44:08 2018  matrix includes 64 packed rows
Sat Apr 21 09:44:14 2018  matrix is 36213516 x 36213741 (16559.7 MB) with weight 4255872586 (117.52/col)
Sat Apr 21 09:44:14 2018  sparse part has weight 3978888545 (109.87/col)
Sat Apr 21 09:44:14 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Sat Apr 21 09:49:23 2018  commencing Lanczos iteration (32 threads)
Sat Apr 21 09:49:23 2018  memory use: 14537.7 MB
Sat Apr 21 09:49:33 2018  restarting at iteration 410179 (dim = 25937646)
Sat Apr 21 09:50:44 2018  linear algebra at 71.6%, ETA 132h52m
Sat Apr 21 09:51:26 2018  checkpointing every 80000 dimensions
Sat Apr 21 10:58:57 2018  lanczos halted after 411618 iterations (dim = 26028642)
Sat Apr 21 10:59:53 2018  BLanczosTime: 4687
Sat Apr 21 10:59:53 2018  elapsed time 01:18:09
Sat Apr 21 15:18:19 2018  
Sat Apr 21 15:18:19 2018  
Sat Apr 21 15:18:19 2018  Msieve v. 1.54 (SVN 1018)
Sat Apr 21 15:18:19 2018  random seeds: d52724bc 6f4594d6
Sat Apr 21 15:18:19 2018  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (279 digits)
Sat Apr 21 15:18:20 2018  searching for 15-digit factors
Sat Apr 21 15:18:21 2018  commencing number field sieve (279-digit input)
Sat Apr 21 15:18:21 2018  R0: -10000000000000000000000000000000000000000000000
Sat Apr 21 15:18:21 2018  R1: 1
Sat Apr 21 15:18:21 2018  A0: -31
Sat Apr 21 15:18:21 2018  A1: 0
Sat Apr 21 15:18:21 2018  A2: 0
Sat Apr 21 15:18:21 2018  A3: 0
Sat Apr 21 15:18:21 2018  A4: 0
Sat Apr 21 15:18:21 2018  A5: 0
Sat Apr 21 15:18:21 2018  A6: 1000
Sat Apr 21 15:18:21 2018  skew 0.56, size 6.225e-014, alpha 0.228, combined = 1.454e-014 rroots = 2
Sat Apr 21 15:18:21 2018  
Sat Apr 21 15:18:21 2018  commencing linear algebra
Sat Apr 21 15:20:34 2018  matrix starts at (0, 0)
Sat Apr 21 15:20:40 2018  matrix is 36213564 x 36213741 (17216.2 MB) with weight 4968916727 (137.21/col)
Sat Apr 21 15:20:40 2018  sparse part has weight 4114766611 (113.62/col)
Sat Apr 21 15:20:40 2018  saving the first 48 matrix rows for later
Sat Apr 21 15:20:51 2018  matrix includes 64 packed rows
Sat Apr 21 15:20:57 2018  matrix is 36213516 x 36213741 (16559.7 MB) with weight 4255872586 (117.52/col)
Sat Apr 21 15:20:57 2018  sparse part has weight 3978888545 (109.87/col)
Sat Apr 21 15:20:57 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Sat Apr 21 15:25:53 2018  commencing Lanczos iteration (32 threads)
Sat Apr 21 15:25:53 2018  memory use: 14537.7 MB
Sat Apr 21 15:26:00 2018  restarting at iteration 411618 (dim = 26028642)
Sat Apr 21 15:27:02 2018  checkpointing every 90000 dimensions
Sat Apr 21 15:27:08 2018  linear algebra at 71.9%, ETA 126h53m
Sun Apr 22 00:17:13 2018  lanczos halted after 422913 iterations (dim = 26742840)
Sun Apr 22 00:18:12 2018  BLanczosTime: 32391
Sun Apr 22 00:18:12 2018  elapsed time 08:59:53
Sun Apr 22 07:55:46 2018  
Sun Apr 22 07:55:46 2018  
Sun Apr 22 07:55:46 2018  Msieve v. 1.54 (SVN 1018)
Sun Apr 22 07:55:46 2018  random seeds: d9a37a70 67d57aa7
Sun Apr 22 07:55:46 2018  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (279 digits)
Sun Apr 22 07:55:47 2018  searching for 15-digit factors
Sun Apr 22 07:55:48 2018  commencing number field sieve (279-digit input)
Sun Apr 22 07:55:48 2018  R0: -10000000000000000000000000000000000000000000000
Sun Apr 22 07:55:48 2018  R1: 1
Sun Apr 22 07:55:48 2018  A0: -31
Sun Apr 22 07:55:48 2018  A1: 0
Sun Apr 22 07:55:48 2018  A2: 0
Sun Apr 22 07:55:48 2018  A3: 0
Sun Apr 22 07:55:48 2018  A4: 0
Sun Apr 22 07:55:48 2018  A5: 0
Sun Apr 22 07:55:48 2018  A6: 1000
Sun Apr 22 07:55:48 2018  skew 0.56, size 6.225e-014, alpha 0.228, combined = 1.454e-014 rroots = 2
Sun Apr 22 07:55:48 2018  
Sun Apr 22 07:55:48 2018  commencing linear algebra
Sun Apr 22 07:58:00 2018  matrix starts at (0, 0)
Sun Apr 22 07:58:06 2018  matrix is 36213564 x 36213741 (17216.2 MB) with weight 4968916727 (137.21/col)
Sun Apr 22 07:58:06 2018  sparse part has weight 4114766611 (113.62/col)
Sun Apr 22 07:58:06 2018  saving the first 48 matrix rows for later
Sun Apr 22 07:58:20 2018  matrix includes 64 packed rows
Sun Apr 22 07:58:28 2018  matrix is 36213516 x 36213741 (16559.7 MB) with weight 4255872586 (117.52/col)
Sun Apr 22 07:58:28 2018  sparse part has weight 3978888545 (109.87/col)
Sun Apr 22 07:58:28 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Sun Apr 22 08:03:14 2018  commencing Lanczos iteration (32 threads)
Sun Apr 22 08:03:15 2018  memory use: 14537.7 MB
Sun Apr 22 08:03:22 2018  restarting at iteration 422913 (dim = 26742840)
Sun Apr 22 08:04:15 2018  checkpointing every 90000 dimensions
Sun Apr 22 08:04:29 2018  linear algebra at 73.9%, ETA 116h 1m
Sun Apr 22 23:05:54 2018  lanczos halted after 441981 iterations (dim = 27948464)
Sun Apr 22 23:06:54 2018  BLanczosTime: 54666
Sun Apr 22 23:06:54 2018  elapsed time 15:11:08
Mon Apr 23 06:44:03 2018  
Mon Apr 23 06:44:03 2018  
Mon Apr 23 06:44:03 2018  Msieve v. 1.54 (SVN 1018)
Mon Apr 23 06:44:03 2018  random seeds: d5279040 dbd83013
Mon Apr 23 06:44:03 2018  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (279 digits)
Mon Apr 23 06:44:05 2018  searching for 15-digit factors
Mon Apr 23 06:44:05 2018  commencing number field sieve (279-digit input)
Mon Apr 23 06:44:05 2018  R0: -10000000000000000000000000000000000000000000000
Mon Apr 23 06:44:05 2018  R1: 1
Mon Apr 23 06:44:05 2018  A0: -31
Mon Apr 23 06:44:05 2018  A1: 0
Mon Apr 23 06:44:05 2018  A2: 0
Mon Apr 23 06:44:05 2018  A3: 0
Mon Apr 23 06:44:05 2018  A4: 0
Mon Apr 23 06:44:05 2018  A5: 0
Mon Apr 23 06:44:05 2018  A6: 1000
Mon Apr 23 06:44:05 2018  skew 0.56, size 6.225e-014, alpha 0.228, combined = 1.454e-014 rroots = 2
Mon Apr 23 06:44:05 2018  
Mon Apr 23 06:44:05 2018  commencing linear algebra
Mon Apr 23 06:46:16 2018  matrix starts at (0, 0)
Mon Apr 23 06:46:21 2018  matrix is 36213564 x 36213741 (17216.2 MB) with weight 4968916727 (137.21/col)
Mon Apr 23 06:46:21 2018  sparse part has weight 4114766611 (113.62/col)
Mon Apr 23 06:46:21 2018  saving the first 48 matrix rows for later
Mon Apr 23 06:46:33 2018  matrix includes 64 packed rows
Mon Apr 23 06:46:38 2018  matrix is 36213516 x 36213741 (16559.7 MB) with weight 4255872586 (117.52/col)
Mon Apr 23 06:46:38 2018  sparse part has weight 3978888545 (109.87/col)
Mon Apr 23 06:46:38 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Mon Apr 23 06:51:24 2018  commencing Lanczos iteration (32 threads)
Mon Apr 23 06:51:24 2018  memory use: 14537.7 MB
Mon Apr 23 06:51:34 2018  restarting at iteration 441981 (dim = 27948464)
Mon Apr 23 06:52:41 2018  linear algebra at 77.2%, ETA 101h22m
Mon Apr 23 06:52:44 2018  checkpointing every 90000 dimensions
Mon Apr 23 23:48:19 2018  lanczos halted after 463520 iterations (dim = 29310505)
Mon Apr 23 23:49:13 2018  BLanczosTime: 61508
Mon Apr 23 23:49:13 2018  elapsed time 17:05:10
Tue Apr 24 06:23:06 2018  
Tue Apr 24 06:23:06 2018  
Tue Apr 24 06:23:06 2018  Msieve v. 1.54 (SVN 1018)
Tue Apr 24 06:23:06 2018  random seeds: 5151f810 7bcf435c
Tue Apr 24 06:23:06 2018  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (279 digits)
Tue Apr 24 06:23:07 2018  searching for 15-digit factors
Tue Apr 24 06:23:08 2018  commencing number field sieve (279-digit input)
Tue Apr 24 06:23:08 2018  R0: -10000000000000000000000000000000000000000000000
Tue Apr 24 06:23:08 2018  R1: 1
Tue Apr 24 06:23:08 2018  A0: -31
Tue Apr 24 06:23:08 2018  A1: 0
Tue Apr 24 06:23:08 2018  A2: 0
Tue Apr 24 06:23:08 2018  A3: 0
Tue Apr 24 06:23:08 2018  A4: 0
Tue Apr 24 06:23:08 2018  A5: 0
Tue Apr 24 06:23:08 2018  A6: 1000
Tue Apr 24 06:23:08 2018  skew 0.56, size 6.225e-014, alpha 0.228, combined = 1.454e-014 rroots = 2
Tue Apr 24 06:23:08 2018  
Tue Apr 24 06:23:08 2018  commencing linear algebra
Tue Apr 24 06:25:19 2018  matrix starts at (0, 0)
Tue Apr 24 06:25:27 2018  matrix is 36213564 x 36213741 (17216.2 MB) with weight 4968916727 (137.21/col)
Tue Apr 24 06:25:27 2018  sparse part has weight 4114766611 (113.62/col)
Tue Apr 24 06:25:27 2018  saving the first 48 matrix rows for later
Tue Apr 24 06:25:41 2018  matrix includes 64 packed rows
Tue Apr 24 06:25:48 2018  matrix is 36213516 x 36213741 (16559.7 MB) with weight 4255872586 (117.52/col)
Tue Apr 24 06:25:48 2018  sparse part has weight 3978888545 (109.87/col)
Tue Apr 24 06:25:48 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Tue Apr 24 06:30:46 2018  commencing Lanczos iteration (32 threads)
Tue Apr 24 06:30:46 2018  memory use: 14537.7 MB
Tue Apr 24 06:30:54 2018  restarting at iteration 463520 (dim = 29310505)
Tue Apr 24 06:32:00 2018  linear algebra at 80.9%, ETA 83h14m
Tue Apr 24 06:32:00 2018  checkpointing every 90000 dimensions
Tue Apr 24 23:53:19 2018  lanczos halted after 485714 iterations (dim = 30713834)
Tue Apr 24 23:54:15 2018  BLanczosTime: 63067
Tue Apr 24 23:54:15 2018  elapsed time 17:31:09
Wed Apr 25 06:29:13 2018  
Wed Apr 25 06:29:13 2018  
Wed Apr 25 06:29:13 2018  Msieve v. 1.54 (SVN 1018)
Wed Apr 25 06:29:13 2018  random seeds: b9c9cb70 39d789fa
Wed Apr 25 06:29:13 2018  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (279 digits)
Wed Apr 25 06:29:15 2018  searching for 15-digit factors
Wed Apr 25 06:29:15 2018  commencing number field sieve (279-digit input)
Wed Apr 25 06:29:15 2018  R0: -10000000000000000000000000000000000000000000000
Wed Apr 25 06:29:15 2018  R1: 1
Wed Apr 25 06:29:15 2018  A0: -31
Wed Apr 25 06:29:15 2018  A1: 0
Wed Apr 25 06:29:15 2018  A2: 0
Wed Apr 25 06:29:15 2018  A3: 0
Wed Apr 25 06:29:15 2018  A4: 0
Wed Apr 25 06:29:15 2018  A5: 0
Wed Apr 25 06:29:15 2018  A6: 1000
Wed Apr 25 06:29:15 2018  skew 0.56, size 6.225e-014, alpha 0.228, combined = 1.454e-014 rroots = 2
Wed Apr 25 06:29:15 2018  
Wed Apr 25 06:29:15 2018  commencing linear algebra
Wed Apr 25 06:31:20 2018  matrix starts at (0, 0)
Wed Apr 25 06:31:25 2018  matrix is 36213564 x 36213741 (17216.2 MB) with weight 4968916727 (137.21/col)
Wed Apr 25 06:31:25 2018  sparse part has weight 4114766611 (113.62/col)
Wed Apr 25 06:31:25 2018  saving the first 48 matrix rows for later
Wed Apr 25 06:31:37 2018  matrix includes 64 packed rows
Wed Apr 25 06:31:42 2018  matrix is 36213516 x 36213741 (16559.7 MB) with weight 4255872586 (117.52/col)
Wed Apr 25 06:31:42 2018  sparse part has weight 3978888545 (109.87/col)
Wed Apr 25 06:31:42 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Wed Apr 25 06:36:28 2018  commencing Lanczos iteration (32 threads)
Wed Apr 25 06:36:28 2018  memory use: 14537.7 MB
Wed Apr 25 06:36:38 2018  restarting at iteration 485714 (dim = 30713834)
Wed Apr 25 06:37:45 2018  linear algebra at 84.8%, ETA 67h46m
Wed Apr 25 06:38:16 2018  checkpointing every 90000 dimensions
Wed Apr 25 23:53:05 2018  lanczos halted after 507708 iterations (dim = 32104567)
Wed Apr 25 23:53:57 2018  BLanczosTime: 62682
Wed Apr 25 23:53:57 2018  elapsed time 17:24:44
Thu Apr 26 07:01:22 2018  
Thu Apr 26 07:01:22 2018  
Thu Apr 26 07:01:22 2018  Msieve v. 1.54 (SVN 1018)
Thu Apr 26 07:01:22 2018  random seeds: ab5bd990 20996485
Thu Apr 26 07:01:22 2018  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (279 digits)
Thu Apr 26 07:01:24 2018  searching for 15-digit factors
Thu Apr 26 07:01:24 2018  commencing number field sieve (279-digit input)
Thu Apr 26 07:01:24 2018  R0: -10000000000000000000000000000000000000000000000
Thu Apr 26 07:01:24 2018  R1: 1
Thu Apr 26 07:01:24 2018  A0: -31
Thu Apr 26 07:01:24 2018  A1: 0
Thu Apr 26 07:01:24 2018  A2: 0
Thu Apr 26 07:01:24 2018  A3: 0
Thu Apr 26 07:01:24 2018  A4: 0
Thu Apr 26 07:01:24 2018  A5: 0
Thu Apr 26 07:01:24 2018  A6: 1000
Thu Apr 26 07:01:24 2018  skew 0.56, size 6.225e-014, alpha 0.228, combined = 1.454e-014 rroots = 2
Thu Apr 26 07:01:24 2018  
Thu Apr 26 07:01:24 2018  commencing linear algebra
Thu Apr 26 07:03:38 2018  matrix starts at (0, 0)
Thu Apr 26 07:03:43 2018  matrix is 36213564 x 36213741 (17216.2 MB) with weight 4968916727 (137.21/col)
Thu Apr 26 07:03:43 2018  sparse part has weight 4114766611 (113.62/col)
Thu Apr 26 07:03:43 2018  saving the first 48 matrix rows for later
Thu Apr 26 07:03:56 2018  matrix includes 64 packed rows
Thu Apr 26 07:04:02 2018  matrix is 36213516 x 36213741 (16559.7 MB) with weight 4255872586 (117.52/col)
Thu Apr 26 07:04:02 2018  sparse part has weight 3978888545 (109.87/col)
Thu Apr 26 07:04:02 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Thu Apr 26 07:08:59 2018  commencing Lanczos iteration (32 threads)
Thu Apr 26 07:08:59 2018  memory use: 14537.7 MB
Thu Apr 26 07:09:07 2018  restarting at iteration 507708 (dim = 32104567)
Thu Apr 26 07:10:11 2018  checkpointing every 90000 dimensions
Thu Apr 26 07:10:14 2018  linear algebra at 88.7%, ETA 50h25m
Fri Apr 27 00:08:19 2018  lanczos halted after 529409 iterations (dim = 33476922)
Fri Apr 27 00:09:18 2018  BLanczosTime: 61674
Fri Apr 27 00:09:18 2018  elapsed time 17:07:56
Fri Apr 27 06:31:04 2018  
Fri Apr 27 06:31:04 2018  
Fri Apr 27 06:31:04 2018  Msieve v. 1.54 (SVN 1018)
Fri Apr 27 06:31:04 2018  random seeds: 17686aa8 7d6997de
Fri Apr 27 06:31:04 2018  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (279 digits)
Fri Apr 27 06:31:05 2018  searching for 15-digit factors
Fri Apr 27 06:31:06 2018  commencing number field sieve (279-digit input)
Fri Apr 27 06:31:06 2018  R0: -10000000000000000000000000000000000000000000000
Fri Apr 27 06:31:06 2018  R1: 1
Fri Apr 27 06:31:06 2018  A0: -31
Fri Apr 27 06:31:06 2018  A1: 0
Fri Apr 27 06:31:06 2018  A2: 0
Fri Apr 27 06:31:06 2018  A3: 0
Fri Apr 27 06:31:06 2018  A4: 0
Fri Apr 27 06:31:06 2018  A5: 0
Fri Apr 27 06:31:06 2018  A6: 1000
Fri Apr 27 06:31:06 2018  skew 0.56, size 6.225e-014, alpha 0.228, combined = 1.454e-014 rroots = 2
Fri Apr 27 06:31:06 2018  
Fri Apr 27 06:31:06 2018  commencing linear algebra
Fri Apr 27 06:33:11 2018  matrix starts at (0, 0)
Fri Apr 27 06:33:16 2018  matrix is 36213564 x 36213741 (17216.2 MB) with weight 4968916727 (137.21/col)
Fri Apr 27 06:33:16 2018  sparse part has weight 4114766611 (113.62/col)
Fri Apr 27 06:33:16 2018  saving the first 48 matrix rows for later
Fri Apr 27 06:33:30 2018  matrix includes 64 packed rows
Fri Apr 27 06:33:36 2018  matrix is 36213516 x 36213741 (16559.7 MB) with weight 4255872586 (117.52/col)
Fri Apr 27 06:33:36 2018  sparse part has weight 3978888545 (109.87/col)
Fri Apr 27 06:33:36 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Fri Apr 27 06:38:23 2018  commencing Lanczos iteration (32 threads)
Fri Apr 27 06:38:23 2018  memory use: 14537.7 MB
Fri Apr 27 06:38:33 2018  restarting at iteration 529409 (dim = 33476922)
Fri Apr 27 06:39:24 2018  checkpointing every 80000 dimensions
Fri Apr 27 06:39:41 2018  linear algebra at 92.4%, ETA 34h14m
Sat Apr 28 16:41:18 2018  lanczos halted after 572689 iterations (dim = 36213514)
Sat Apr 28 16:42:58 2018  recovered 35 nontrivial dependencies
Sat Apr 28 16:44:05 2018  BLanczosTime: 123179
Sat Apr 28 16:44:05 2018  elapsed time 34:13:01
Sat Apr 28 16:47:09 2018  
Sat Apr 28 16:47:09 2018  
Sat Apr 28 16:47:09 2018  Msieve v. 1.54 (SVN 1018)
Sat Apr 28 16:47:09 2018  random seeds: d169ce6c eeb9ed43
Sat Apr 28 16:47:09 2018  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323 (279 digits)
Sat Apr 28 16:47:10 2018  searching for 15-digit factors
Sat Apr 28 16:47:11 2018  commencing number field sieve (279-digit input)
Sat Apr 28 16:47:11 2018  R0: -10000000000000000000000000000000000000000000000
Sat Apr 28 16:47:11 2018  R1: 1
Sat Apr 28 16:47:11 2018  A0: -31
Sat Apr 28 16:47:11 2018  A1: 0
Sat Apr 28 16:47:11 2018  A2: 0
Sat Apr 28 16:47:11 2018  A3: 0
Sat Apr 28 16:47:11 2018  A4: 0
Sat Apr 28 16:47:11 2018  A5: 0
Sat Apr 28 16:47:11 2018  A6: 1000
Sat Apr 28 16:47:11 2018  skew 0.56, size 6.225e-014, alpha 0.228, combined = 1.454e-014 rroots = 2
Sat Apr 28 16:47:11 2018  
Sat Apr 28 16:47:11 2018  commencing square root phase
Sat Apr 28 16:47:11 2018  handling dependencies 2 to 2
Sat Apr 28 16:47:11 2018  reading relations for dependency 2
Sat Apr 28 16:47:18 2018  read 18106235 cycles
Sat Apr 28 16:47:57 2018  cycles contain 66936270 unique relations
Sat Apr 28 16:55:59 2018  read 66936270 relations
Sat Apr 28 17:03:24 2018  multiplying 66936270 relations
Sat Apr 28 18:26:04 2018  multiply complete, coefficients have about 2429.04 million bits
Sat Apr 28 18:26:11 2018  initial square root is modulo 280561
Sat Apr 28 19:55:06 2018  sqrtTime: 11275
Sat Apr 28 19:55:06 2018  p126 factor: 683879988020855531843693974570809301443699094596561661475690616530795260027595121999433189270322605879651156172622984209245483
Sat Apr 28 19:55:06 2018  p153 factor: 487414954629682825615832070972614806528916687946252096353904135012248024359341728973161931019907828745530880376748837466333831896764672674769452527632481
Sat Apr 28 19:55:06 2018  elapsed time 03:07:57

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovNovember 13, 2016 00:38:17 UTC 2016 年 11 月 13 日 (日) 9 時 38 分 17 秒 (日本時間)
4511e62240640Serge BatalovNovember 15, 2016 05:53:11 UTC 2016 年 11 月 15 日 (火) 14 時 53 分 11 秒 (日本時間)
1600Dmitry DomanovNovember 29, 2016 14:03:28 UTC 2016 年 11 月 29 日 (火) 23 時 3 分 28 秒 (日本時間)
5043e670001600Dmitry DomanovDecember 2, 2016 14:46:48 UTC 2016 年 12 月 2 日 (金) 23 時 46 分 48 秒 (日本時間)
2200Dmitry DomanovDecember 5, 2016 14:41:46 UTC 2016 年 12 月 5 日 (月) 23 時 41 分 46 秒 (日本時間)
1600Dmitry DomanovDecember 9, 2016 14:34:00 UTC 2016 年 12 月 9 日 (金) 23 時 34 分 0 秒 (日本時間)
1600Dmitry DomanovDecember 16, 2016 13:11:38 UTC 2016 年 12 月 16 日 (金) 22 時 11 分 38 秒 (日本時間)

10280-313

c234

composite cofactor 合成数の残り
102056369666344325612302705901033462821354887279655297376590546447498443005370388490001836891233265663838900039256635278584979555266367252321037387002047397662679011758465065716082971843079763834938685122987475667410552336155476439539<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferFebruary 2, 2021 08:04:44 UTC 2021 年 2 月 2 日 (火) 17 時 4 分 44 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferFebruary 2, 2021 18:50:39 UTC 2021 年 2 月 3 日 (水) 3 時 50 分 39 秒 (日本時間)

10282-313

c282

name 名前Dmitry Domanov
date 日付December 4, 2016 16:28:20 UTC 2016 年 12 月 5 日 (月) 1 時 28 分 20 秒 (日本時間)
composite number 合成数
333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323<282>
prime factors 素因数
332328656452792968132730950919409090061718580253349<51>
1003023142485707003074122342121211802348599961499653182705206955091398018116067946887269877752108293636340222300048710989044386439296564285842560101293615789253549863746037178142750359266904894624212044840277117307943359946574542127<232>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=383916829
Step 1 took 481827ms
Step 2 took 118229ms
********** Factor found in step 2: 332328656452792968132730950919409090061718580253349
Found probable prime factor of 51 digits: 332328656452792968132730950919409090061718580253349

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovNovember 13, 2016 00:38:30 UTC 2016 年 11 月 13 日 (日) 9 時 38 分 30 秒 (日本時間)
4511e63040640Serge BatalovNovember 15, 2016 05:52:53 UTC 2016 年 11 月 15 日 (火) 14 時 52 分 53 秒 (日本時間)
2400Dmitry DomanovNovember 29, 2016 14:01:00 UTC 2016 年 11 月 29 日 (火) 23 時 1 分 0 秒 (日本時間)
5043e61600 / 6820Dmitry DomanovDecember 2, 2016 14:46:26 UTC 2016 年 12 月 2 日 (金) 23 時 46 分 26 秒 (日本時間)

10283-313

c227

composite cofactor 合成数の残り
33127659665336865493979756239515878579965931387605019338818551576977750371728641434221773277768951225645819879745301310515564495002487128860416560006431539047044211823758257649595383049475892947601551304630096460547437140910799<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferFebruary 3, 2021 08:47:45 UTC 2021 年 2 月 3 日 (水) 17 時 47 分 45 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferFebruary 3, 2021 08:47:45 UTC 2021 年 2 月 3 日 (水) 17 時 47 分 45 秒 (日本時間)

10285-313

c261

composite cofactor 合成数の残り
521198016577349157014116131295761897944063723127367091667441742412674159648504781451482141116719102215781041667454000216967323078170773061651461257400753351361478243502795122670070734464300953102100655558799606979218840395761944961209040656390657903020237626999<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferFebruary 4, 2021 08:45:04 UTC 2021 年 2 月 4 日 (木) 17 時 45 分 4 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferFebruary 4, 2021 08:45:04 UTC 2021 年 2 月 4 日 (木) 17 時 45 分 4 秒 (日本時間)

10286-313

c271

name 名前Youcef Lemsafer
date 日付February 4, 2021 08:42:30 UTC 2021 年 2 月 4 日 (木) 17 時 42 分 30 秒 (日本時間)
composite number 合成数
6994638947074514862274443358744691672092823819224560579862454673592665660765561207135788710834291863015398898135359156269126113107247957366814041155149735353283657710047819758463765785729227970133838573799314449964804305086232839574522944636730278188694334166359170148641<271>
prime factors 素因数
11475839278154280853199792498415010193<38>
composite cofactor 合成数の残り
609510012953013329701168710026018662626807080991796632450738313177502294134801317962745713126504703369186777455523355092559410404203723617218138732343041969569228347328388885794277361425241742671996132498653184200448806409330676475537<234>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1] [ECM]
Tuned for default
Running on ip-*-*-*-*.ec2.internal
Input number is (10^286-31)/(3*676297*704654099) (271 digits)
[Thu Feb  4 01:11:16 2021]
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:17728125817477733162
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
35 40      45      50      55      60      65      70      75      80
324     2351    20272   201449  2247436 2.8e+07 3.9e+08 6e+09   1.1e+11 7.4e+15
Step 1 took 46328ms
Using 32 small primes for NTT
Estimated memory usage: 88.85MB
Initializing tables of differences for F took 36ms
Computing roots of F took 928ms
Building F from its roots took 1376ms
Computing 1/F took 779ms
Initializing table of differences for G took 29ms
Computing roots of G took 831ms
Building G from its roots took 1426ms
Computing roots of G took 830ms
Building G from its roots took 1397ms
Computing G * H took 425ms
Reducing  G * H mod F took 451ms
Computing polyeval(F,G) took 2706ms
Computing product of all F(g_i) took 22ms
Step 2 took 11268ms
********** Factor found in step 2: 11475839278154280853199792498415010193
Found prime factor of 38 digits: 11475839278154280853199792498415010193
Composite cofactor ((10^286-31)/(3*676297*704654099))/11475839278154280853199792498415010193 has 234 digits
execution environment 実行環境
Amazon Linux Graviton2, t4g.micro

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e62268648iveliveSeptember 5, 2020 15:42:21 UTC 2020 年 9 月 6 日 (日) 0 時 42 分 21 秒 (日本時間)
1620Youcef LemsaferFebruary 4, 2021 13:44:39 UTC 2021 年 2 月 4 日 (木) 22 時 44 分 39 秒 (日本時間)
4511e6300 / 3937Youcef LemsaferFebruary 5, 2021 08:59:31 UTC 2021 年 2 月 5 日 (金) 17 時 59 分 31 秒 (日本時間)

10287-313

c233

composite cofactor 合成数の残り
67191778398274030116552663853763969225239624279967404752120455043634139358600575366040035732557200354760480155575859183939817640562204243972999907665695118220273472307161741211483606092663425969002137964567554798525574773341560856759<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferFebruary 5, 2021 09:00:14 UTC 2021 年 2 月 5 日 (金) 18 時 0 分 14 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferFebruary 5, 2021 14:05:02 UTC 2021 年 2 月 5 日 (金) 23 時 5 分 2 秒 (日本時間)

10289-313

c243

composite cofactor 合成数の残り
259823582211247070186391223515146816863535258216321206691590846168329893219897691088959201847973381610400265329778900304619046479485010743860946257360993494376311535744098642497144258993178419102268066709264131323289083736580218184849275878241<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e62352iveliveSeptember 5, 2020 06:29:10 UTC 2020 年 9 月 5 日 (土) 15 時 29 分 10 秒 (日本時間)

10290-313

c265

name 名前ivelive
date 日付September 5, 2020 15:56:40 UTC 2020 年 9 月 6 日 (日) 0 時 56 分 40 秒 (日本時間)
composite number 合成数
1247911354461694348906970942476009132884798059579993174886424410385859335684254925824306255603892150976423165639734559129187298033184227717641540945786931763661438200437603659445786317410268517408168095141207935183513863971677679602206854227590021316615721792699359<265>
prime factors 素因数
15562655470665511456349496128289975422503<41>
composite cofactor 合成数の残り
80186273917964558330776099384314735455452616563725310631464096310945780873999913258511869330787491910990682199018598297898781023624225022628774989969050822643904940016108629274899613360239579563798771558800199906080870018953<224>
factorization results 素因数分解の結果
thread 27 with sigma -1:2302016928 found factor in step 2: 15562655470665511456349496128289975422503
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
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e60--
4511e60--
5043e61296 / 7548iveliveJanuary 28, 2021 03:15:53 UTC 2021 年 1 月 28 日 (木) 12 時 15 分 53 秒 (日本時間)

10291-313

c284

composite cofactor 合成数の残り
18999424564428217162586796733687326811932846989863218012716048869027903751879066838702656212651287430457593730858673483356209590480133128207945965940529559181241077751478140981544091974086380845783323760473266546176115963975799064973719140968377490750937626352110673624027949065506653<284>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferFebruary 6, 2021 18:05:36 UTC 2021 年 2 月 7 日 (日) 3 時 5 分 36 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferFebruary 7, 2021 09:31:35 UTC 2021 年 2 月 7 日 (日) 18 時 31 分 35 秒 (日本時間)

10292-313

c285

composite cofactor 合成数の残り
168825805213411771828345147003466044428772907699167474371525258931936036426936217999089725023450326408655928636386711781648942236267628811683610108890787278793245299792508020618560530069808963978330127415705233250492198973164311014882653150202579992578755254428845333969604028021639619<285>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferFebruary 8, 2021 14:00:59 UTC 2021 年 2 月 8 日 (月) 23 時 0 分 59 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferFebruary 8, 2021 14:00:59 UTC 2021 年 2 月 8 日 (月) 23 時 0 分 59 秒 (日本時間)

10293-313

c290

composite cofactor 合成数の残り
41101520756267981915330867242087957254418413481298808055898068228524455404849979449239621866009042334566378956021372790793259350595972050965885737772297575010275380189066995478832716810521989313604603370324702013974517057131113851212494862309905466502260583641594739005343197698314837648993<290>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferFebruary 8, 2021 14:01:38 UTC 2021 年 2 月 8 日 (月) 23 時 1 分 38 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferFebruary 10, 2021 18:53:33 UTC 2021 年 2 月 11 日 (木) 3 時 53 分 33 秒 (日本時間)

10295-313

c271

composite cofactor 合成数の残り
7032977885556367984612960082885591567202179117497160170346763345194312578232248139335161029943339870690024481887779317710987811258934638328629995605601416308683915624741344509612008328624329845603497766535933127306464900464443858556006448902306103990353948922897032588333<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferFebruary 10, 2021 18:52:56 UTC 2021 年 2 月 11 日 (木) 3 時 52 分 56 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferFebruary 10, 2021 18:52:56 UTC 2021 年 2 月 11 日 (木) 3 時 52 分 56 秒 (日本時間)

10296-313

c296

composite cofactor 合成数の残り
33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333323<296>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovNovember 13, 2016 00:38:44 UTC 2016 年 11 月 13 日 (日) 9 時 38 分 44 秒 (日本時間)
4511e61840640Serge BatalovNovember 15, 2016 05:52:28 UTC 2016 年 11 月 15 日 (火) 14 時 52 分 28 秒 (日本時間)
1200Dmitry DomanovNovember 21, 2016 19:44:18 UTC 2016 年 11 月 22 日 (火) 4 時 44 分 18 秒 (日本時間)
5043e673001200Dmitry DomanovNovember 25, 2016 13:25:58 UTC 2016 年 11 月 25 日 (金) 22 時 25 分 58 秒 (日本時間)
2400Dmitry DomanovNovember 26, 2016 15:33:51 UTC 2016 年 11 月 27 日 (日) 0 時 33 分 51 秒 (日本時間)
2200Dmitry DomanovDecember 4, 2016 16:35:42 UTC 2016 年 12 月 5 日 (月) 1 時 35 分 42 秒 (日本時間)
1500Dmitry DomanovDecember 9, 2016 14:33:20 UTC 2016 年 12 月 9 日 (金) 23 時 33 分 20 秒 (日本時間)
5511e7199989999Jake CampbellJune 21, 2019 13:58:40 UTC 2019 年 6 月 21 日 (金) 22 時 58 分 40 秒 (日本時間)
9999Jake CampbellJune 21, 2019 13:58:40 UTC 2019 年 6 月 21 日 (金) 22 時 58 分 40 秒 (日本時間)

10297-313

c274

composite cofactor 合成数の残り
7089304236718651330153445808067357918902048070229808246848532222950632535702447746198658168107290704568974176775774076533713520301270403963262970159318297595777734146319317633161994773378084036849233716869502343243905258731510825297498856054429952138184105450984794961280111<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferFebruary 10, 2021 18:54:20 UTC 2021 年 2 月 11 日 (木) 3 時 54 分 20 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferFebruary 10, 2021 18:54:20 UTC 2021 年 2 月 11 日 (木) 3 時 54 分 20 秒 (日本時間)

10298-313

c289

composite cofactor 合成数の残り
5670025324878942280226868577016928948685285926446640891672763970924965173839775731492476148838602504027315510299333660948530609903594073297845087086891374158891220605533382363970126172006070830343054114903708457553736532428981530892129671621679684979607297482034231334310508899838165173273<289>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferFebruary 11, 2021 15:26:23 UTC 2021 年 2 月 12 日 (金) 0 時 26 分 23 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferFebruary 14, 2021 11:41:43 UTC 2021 年 2 月 14 日 (日) 20 時 41 分 43 秒 (日本時間)

10299-313

c230

composite cofactor 合成数の残り
12952147725314982790185059586795651713423869537732503268802386209153611729393814454126009057988916828997428473945565873971593739458702722540888651051667777846969282188195518155228017075324592880074796615671383467403809963209678397<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61620Youcef LemsaferFebruary 14, 2021 11:42:19 UTC 2021 年 2 月 14 日 (日) 20 時 42 分 19 秒 (日本時間)
4511e6300 / 4081Youcef LemsaferFebruary 14, 2021 11:42:19 UTC 2021 年 2 月 14 日 (日) 20 時 42 分 19 秒 (日本時間)

10300-313

c281

composite cofactor 合成数の残り
10416115222476737045406315563514363454106153889823735364552452338448977735875432399098093999574375789555899667682821863311878440363300405587260117772618726506800989885402206369665187286224120898185051317226086480374395370632374578941781037668419717349814977782144930692918291709371<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovNovember 13, 2016 00:39:05 UTC 2016 年 11 月 13 日 (日) 9 時 39 分 5 秒 (日本時間)
4511e62000Dmitry DomanovNovember 14, 2016 23:43:47 UTC 2016 年 11 月 15 日 (火) 8 時 43 分 47 秒 (日本時間)
5043e6640 / 7054Dmitry DomanovNovember 17, 2016 20:59:26 UTC 2016 年 11 月 18 日 (金) 5 時 59 分 26 秒 (日本時間)