Table of contents 目次

79×10102+119

c97

name 名前Dmitry Domanov
date 日付February 21, 2010 10:21:33 UTC 2010 年 2 月 21 日 (日) 19 時 21 分 33 秒 (日本時間)
composite number 合成数
3767466080048353281112438308339057258855584011846820933434072514947183225371585417922389340341011<97>
prime factors 素因数
860304058463051771866927697224817696341<39>
4379226208439603601042635349081629523795423038071642108871<58>
factorization results 素因数分解の結果
N=3767466080048353281112438308339057258855584011846820933434072514947183225371585417922389340341011
  ( 97 digits)
SNFS difficulty: 103 digits.
Divisors found:
 r1=860304058463051771866927697224817696341 (pp39)
 r2=4379226208439603601042635349081629523795423038071642108871 (pp58)
Version: Msieve-1.40
Total time: 0.35 hours.
Scaled time: 0.68 units (timescale=1.969).
Factorization parameters were as follows:
n: 3767466080048353281112438308339057258855584011846820933434072514947183225371585417922389340341011
m: 10000000000000000000000000
deg: 4
c4: 7900
c0: 11
skew: 0.19
type: snfs
lss: 1
rlim: 380000
alim: 380000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2Factor base limits: 380000/380000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [190000, 260001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 32708 x 32933
Total sieving time: 0.33 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,103.000,4,0,0,0,0,0,0,0,0,380000,380000,25,25,43,43,2.2,2.2,10000
total time: 0.35 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10103+119

c93

name 名前Dmitry Domanov
date 日付February 21, 2010 10:22:44 UTC 2010 年 2 月 21 日 (日) 19 時 22 分 44 秒 (日本時間)
composite number 合成数
178126289191101562674846597021982977406363866470630012961434207700991847289933973288098186689<93>
prime factors 素因数
1376547888629329244949948028351<31>
129400720935664175507729324337017336023464553207867825976231039<63>
factorization results 素因数分解の結果
N=178126289191101562674846597021982977406363866470630012961434207700991847289933973288098186689
  ( 93 digits)
SNFS difficulty: 104 digits.
Divisors found:
 r1=1376547888629329244949948028351 (pp31)
 r2=129400720935664175507729324337017336023464553207867825976231039 (pp63)
Version: Msieve-1.40
Total time: 0.39 hours.
Scaled time: 0.76 units (timescale=1.963).
Factorization parameters were as follows:
n: 178126289191101562674846597021982977406363866470630012961434207700991847289933973288098186689
m: 10000000000000000000000000
deg: 4
c4: 79000
c0: 11
skew: 0.11
type: snfs
lss: 1
rlim: 390000
alim: 390000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2Factor base limits: 390000/390000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [195000, 275001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 36630 x 36855
Total sieving time: 0.38 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,104.000,4,0,0,0,0,0,0,0,0,390000,390000,25,25,44,44,2.2,2.2,10000
total time: 0.39 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10107+119

c91

name 名前Dmitry Domanov
date 日付February 21, 2010 13:34:17 UTC 2010 年 2 月 21 日 (日) 22 時 34 分 17 秒 (日本時間)
composite number 合成数
3486115539717987492505790191528485662989323706185121381837973311406784315171421473325725839<91>
prime factors 素因数
37006641627280322232760781970002172503<38>
94202429251189193764194452239628953178251136310911113<53>
factorization results 素因数分解の結果
N=3486115539717987492505790191528485662989323706185121381837973311406784315171421473325725839
  ( 91 digits)
SNFS difficulty: 108 digits.
Divisors found:
 r1=37006641627280322232760781970002172503 (pp38)
 r2=94202429251189193764194452239628953178251136310911113 (pp53)
Version: Msieve-1.40
Total time: 0.61 hours.
Scaled time: 1.19 units (timescale=1.957).
Factorization parameters were as follows:
n: 3486115539717987492505790191528485662989323706185121381837973311406784315171421473325725839
m: 1000000000000000000000
deg: 5
c5: 7900
c0: 11
skew: 0.27
type: snfs
lss: 1
rlim: 460000
alim: 460000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2Factor base limits: 460000/460000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [230000, 380001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 45772 x 45997
Total sieving time: 0.59 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,108.000,5,0,0,0,0,0,0,0,0,460000,460000,25,25,44,44,2.2,2.2,50000
total time: 0.61 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10118+119

c90

name 名前Sinkiti Sibata
date 日付February 21, 2010 09:32:34 UTC 2010 年 2 月 21 日 (日) 18 時 32 分 34 秒 (日本時間)
composite number 合成数
131816566743363587331603045242814203352568690287525322630032494185793133695808501578999881<90>
prime factors 素因数
55816857314122556522315772611871783949<38>
2361590621298055243603807078147371134881095734362669<52>
factorization results 素因数分解の結果
Number: 87779_118
N=131816566743363587331603045242814203352568690287525322630032494185793133695808501578999881
  ( 90 digits)
Divisors found:
 r1=55816857314122556522315772611871783949 (pp38)
 r2=2361590621298055243603807078147371134881095734362669 (pp52)
Version: Msieve v. 1.42
Total time: 0.26 hours.
Scaled time: 0.20 units (timescale=0.796).
Factorization parameters were as follows:
name: 87779_118
n:  131816566743363587331603045242814203352568690287525322630032494185793133695808501578999881
m:  381965961262914616335
deg: 4
c4: 6192576
c3: -39133725934
c2: 34622376201095963
c1: 171010916133159904
c0: -29453056962556878644384
skew: 1635.250
type: gnfs
# adj. I(F,S) = 52.130
# E(F1,F2) = 2.134731e-04
# GGNFS version 0.77.1-20060722-k8 polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=58.00000000, seed=1266737611.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 700000
alim: 700000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.4
alambda: 2.4
qintsize: 40000

type: gnfs
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [350000, 710001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 102870 x 103095
Polynomial selection time: 0.17 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,89,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,700000,700000,25,25,44,44,2.4,2.4,40000
total time: 0.26 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.24 BogoMIPS (lpj=1860624)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860570)
Total of 2 processors activated (7442.38 BogoMIPS).

Total time: 2 hours 2 min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10119+119

c93

name 名前Sinkiti Sibata
date 日付February 21, 2010 09:01:31 UTC 2010 年 2 月 21 日 (日) 18 時 1 分 31 秒 (日本時間)
composite number 合成数
182676867404467719206769730889925196411535697503083767020102741364438683432684085978982459507<93>
prime factors 素因数
6690255130474345727161632975022202557<37>
27304917950343658724794437409029197851225695611075866351<56>
factorization results 素因数分解の結果
Number: 87779_119
N=182676867404467719206769730889925196411535697503083767020102741364438683432684085978982459507
  ( 93 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=6690255130474345727161632975022202557 (pp37)
 r2=27304917950343658724794437409029197851225695611075866351 (pp56)
Version: Msieve-1.40
Total time: 1.97 hours.
Scaled time: 4.44 units (timescale=2.257).
Factorization parameters were as follows:
name: 87779_119
n: 182676867404467719206769730889925196411535697503083767020102741364438683432684085978982459507
m: 100000000000000000000000
deg: 5
c5: 790000
c0: 11
skew: 0.11
type: snfs
lss: 1
rlim: 720000
alim: 720000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 720000/720000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [360000, 660001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 79595 x 79827
Total sieving time: 1.93 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,120.000,5,0,0,0,0,0,0,0,0,720000,720000,25,25,46,46,2.2,2.2,50000
total time: 1.97 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10121+119

c113

name 名前Sinkiti Sibata
date 日付February 21, 2010 10:52:23 UTC 2010 年 2 月 21 日 (日) 19 時 52 分 23 秒 (日本時間)
composite number 合成数
79573392073210710089488797768309787077595049378600135263303926967154773892748832473430875241418985874299953448367<113>
prime factors 素因数
428205825218266785133332881076265117712135201<45>
185829774811331075562478308344701398405728678659175154580862221909967<69>
factorization results 素因数分解の結果
Number: 87779_121
N=79573392073210710089488797768309787077595049378600135263303926967154773892748832473430875241418985874299953448367
  ( 113 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=428205825218266785133332881076265117712135201 (pp45)
 r2=185829774811331075562478308344701398405728678659175154580862221909967 (pp69)
Version: Msieve-1.40
Total time: 2.08 hours.
Scaled time: 4.97 units (timescale=2.383).
Factorization parameters were as follows:
name: 87779_121
n: 79573392073210710089488797768309787077595049378600135263303926967154773892748832473430875241418985874299953448367
m: 1000000000000000000000000
deg: 5
c5: 790
c0: 11
skew: 0.43
type: snfs
lss: 1
rlim: 780000
alim: 780000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 780000/780000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [390000, 740001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 89616 x 89859
Total sieving time: 2.05 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,122.000,5,0,0,0,0,0,0,0,0,780000,780000,25,25,46,46,2.2,2.2,50000
total time: 2.08 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10122+119

c95

name 名前Sinkiti Sibata
date 日付February 21, 2010 10:10:13 UTC 2010 年 2 月 21 日 (日) 19 時 10 分 13 秒 (日本時間)
composite number 合成数
47781024505313163852827557690432750826968043518550953393652142192891671040984185040428599047101<95>
prime factors 素因数
510627468807683269832293098092287<33>
93573157387874187224995777413210254327899802252860923642163523<62>
factorization results 素因数分解の結果
Number: 87779_122
N=47781024505313163852827557690432750826968043518550953393652142192891671040984185040428599047101
  ( 95 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=510627468807683269832293098092287 (pp33)
 r2=93573157387874187224995777413210254327899802252860923642163523 (pp62)
Version: Msieve-1.40
Total time: 2.52 hours.
Scaled time: 6.25 units (timescale=2.485).
Factorization parameters were as follows:
name: 87779_122
n: 47781024505313163852827557690432750826968043518550953393652142192891671040984185040428599047101
m: 1000000000000000000000000
deg: 5
c5: 7900
c0: 11
skew: 0.27
type: snfs
lss: 1
rlim: 810000
alim: 810000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 810000/810000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [405000, 805001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 108163 x 108411
Total sieving time: 2.44 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,123.000,5,0,0,0,0,0,0,0,0,810000,810000,25,25,46,46,2.2,2.2,50000
total time: 2.52 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10125+119

c92

name 名前Sinkiti Sibata
date 日付February 21, 2010 09:50:27 UTC 2010 年 2 月 21 日 (日) 18 時 50 分 27 秒 (日本時間)
composite number 合成数
17737001370798778569783399960349354777644249915641747259860330329664325001399782730101860351<92>
prime factors 素因数
1179088941001499724214820168019132542737216403<46>
15042971529979109744798327218293625878045660517<47>
factorization results 素因数分解の結果
Number: 87779_125
N=17737001370798778569783399960349354777644249915641747259860330329664325001399782730101860351
  ( 92 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=1179088941001499724214820168019132542737216403 (pp46)
 r2=15042971529979109744798327218293625878045660517 (pp47)
Version: Msieve-1.40
Total time: 2.26 hours.
Scaled time: 4.68 units (timescale=2.075).
Factorization parameters were as follows:
name: 87779_125
n: 17737001370798778569783399960349354777644249915641747259860330329664325001399782730101860351
m: 10000000000000000000000000
deg: 5
c5: 79
c0: 11
skew: 0.67
type: snfs
lss: 1
rlim: 910000
alim: 910000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 910000/910000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [455000, 755001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 119909 x 120157
Total sieving time: 2.19 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,126.000,5,0,0,0,0,0,0,0,0,910000,910000,26,26,46,46,2.3,2.3,50000
total time: 2.26 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10128+119

c99

name 名前Sinkiti Sibata
date 日付February 21, 2010 13:59:43 UTC 2010 年 2 月 21 日 (日) 22 時 59 分 43 秒 (日本時間)
composite number 合成数
197594994306783945023512259846345112420379121865621798424198554918263158178702864252402242140278407<99>
prime factors 素因数
4660022763942325416332443148596131965110399319<46>
42402152160222681585158346531788932199167366507945553<53>
factorization results 素因数分解の結果
Number: 87779_128
N=197594994306783945023512259846345112420379121865621798424198554918263158178702864252402242140278407
  ( 99 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=4660022763942325416332443148596131965110399319 (pp46)
 r2=42402152160222681585158346531788932199167366507945553 (pp53)
Version: Msieve-1.40
Total time: 3.84 hours.
Scaled time: 7.96 units (timescale=2.075).
Factorization parameters were as follows:
name: 87779_128
n: 197594994306783945023512259846345112420379121865621798424198554918263158178702864252402242140278407
m: 10000000000000000000000000
deg: 5
c5: 79000
c0: 11
skew: 0.17
type: snfs
lss: 1
rlim: 1020000
alim: 1020000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1020000/1020000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [510000, 1060001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 153818 x 154066
Total sieving time: 3.60 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,129.000,5,0,0,0,0,0,0,0,0,1020000,1020000,26,26,47,47,2.3,2.3,50000
total time: 3.84 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10129+119

c94

name 名前Sinkiti Sibata
date 日付February 21, 2010 13:43:39 UTC 2010 年 2 月 21 日 (日) 22 時 43 分 39 秒 (日本時間)
composite number 合成数
1112952227123920215152323294097460802623654892880844206644676927360824259594922822561411593333<94>
prime factors 素因数
9858287587463970815639689803392892885221633<43>
112895086215498147033231352381548951722880039894901<51>
factorization results 素因数分解の結果
Number: 87779_129
N=1112952227123920215152323294097460802623654892880844206644676927360824259594922822561411593333
  ( 94 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=9858287587463970815639689803392892885221633 (pp43)
 r2=112895086215498147033231352381548951722880039894901 (pp51)
Version: Msieve-1.40
Total time: 3.18 hours.
Scaled time: 6.63 units (timescale=2.082).
Factorization parameters were as follows:
name: 87779_129
n: 1112952227123920215152323294097460802623654892880844206644676927360824259594922822561411593333
m: 10000000000000000000000000
deg: 5
c5: 790000
c0: 11
skew: 0.11
type: snfs
lss: 1
rlim: 1060000
alim: 1060000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1060000/1060000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [530000, 980001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 159229 x 159477
Total sieving time: 3.07 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,130.000,5,0,0,0,0,0,0,0,0,1060000,1060000,26,26,47,47,2.3,2.3,50000
total time: 3.18 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10130+119

c93

name 名前Sinkiti Sibata
date 日付February 21, 2010 23:40:14 UTC 2010 年 2 月 22 日 (月) 8 時 40 分 14 秒 (日本時間)
composite number 合成数
119368541463110884818174010613336980839460038558428358807395536558368102311996019217638429703<93>
prime factors 素因数
765193390824172680524071408475156495328391<42>
155997873079564500166599006055494762249673764680833<51>
factorization results 素因数分解の結果
Number: 87779_130
N=119368541463110884818174010613336980839460038558428358807395536558368102311996019217638429703
  ( 93 digits)
Divisors found:
 r1=765193390824172680524071408475156495328391 (pp42)
 r2=155997873079564500166599006055494762249673764680833 (pp51)
Version: Msieve-1.40
Total time: 4.31 hours.
Scaled time: 10.20 units (timescale=2.366).
Factorization parameters were as follows:
name: 87779_130
n:  119368541463110884818174010613336980839460038558428358807395536558368102311996019217638429703
m:  1660451118610238939229
deg: 4
c4: 15703104
c3: -18342044184
c2: -212282143329717625
c1: 304156411687025700
c0: 326866594414382120423980
skew: 1635.250
type: gnfs
# adj. I(F,S) = 53.781
# E(F1,F2) = 7.752443e-05
# GGNFS version 0.77.1-20060513-nocona polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1266749373.
# 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, 1140001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 162036 x 162284
Polynomial selection time: 0.17 hours.
Total sieving time: 4.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,92,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 4.31 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10131+119

c126

name 名前Sinkiti Sibata
date 日付February 21, 2010 23:19:31 UTC 2010 年 2 月 22 日 (月) 8 時 19 分 31 秒 (日本時間)
composite number 合成数
129184914649080380832549679653299085921884236874702292137752131138190558574476190737830809656968101023126536247790794874943361<126>
prime factors 素因数
10372753805809047624288042384834398515592956927<47>
12454254392573457584724696684569739422182793402024586455139849538430513875516543<80>
factorization results 素因数分解の結果
Number: 87779_131
N=129184914649080380832549679653299085921884236874702292137752131138190558574476190737830809656968101023126536247790794874943361
  ( 126 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=10372753805809047624288042384834398515592956927 (pp47)
 r2=12454254392573457584724696684569739422182793402024586455139849538430513875516543 (pp80)
Version: Msieve-1.40
Total time: 3.67 hours.
Scaled time: 7.76 units (timescale=2.116).
Factorization parameters were as follows:
name: 87779_131
n: 129184914649080380832549679653299085921884236874702292137752131138190558574476190737830809656968101023126536247790794874943361
m: 100000000000000000000000000
deg: 5
c5: 790
c0: 11
skew: 0.43
type: snfs
lss: 1
rlim: 1150000
alim: 1150000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1150000/1150000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [575000, 1075001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 165016 x 165264
Total sieving time: 3.54 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,132.000,5,0,0,0,0,0,0,0,0,1150000,1150000,26,26,47,47,2.3,2.3,50000
total time: 3.67 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10134+119

c97

name 名前Sinkiti Sibata
date 日付February 21, 2010 23:12:41 UTC 2010 年 2 月 22 日 (月) 8 時 12 分 41 秒 (日本時間)
composite number 合成数
8158118670705449966040339324169029890241103886839297194090005738618860821147471016041331342659313<97>
prime factors 素因数
15466951087517721094981355016780073<35>
527454869711800456884699401674924837034187975159326969789855881<63>
factorization results 素因数分解の結果
Number: 87779_134
N=8158118670705449966040339324169029890241103886839297194090005738618860821147471016041331342659313
  ( 97 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=15466951087517721094981355016780073 (pp35)
 r2=527454869711800456884699401674924837034187975159326969789855881 (pp63)
Version: Msieve-1.40
Total time: 4.52 hours.
Scaled time: 12.38 units (timescale=2.740).
Factorization parameters were as follows:
name: 87779_134
n: 8158118670705449966040339324169029890241103886839297194090005738618860821147471016041331342659313
m: 100000000000000000000000000
deg: 5
c5: 790000
c0: 11
skew: 0.11
type: snfs
lss: 1
rlim: 1290000
alim: 1290000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1290000/1290000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [645000, 1320001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 189885 x 190133
Total sieving time: 4.37 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,135.000,5,0,0,0,0,0,0,0,0,1290000,1290000,26,26,47,47,2.3,2.3,75000
total time: 4.52 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10135+119

c121

name 名前Dmitry Domanov
date 日付February 21, 2010 22:12:34 UTC 2010 年 2 月 22 日 (月) 7 時 12 分 34 秒 (日本時間)
composite number 合成数
1207670515284036739556380049438150039690349312642238946911695143546216849248154581172597287530423560596149760424982683843<121>
prime factors 素因数
2562368079914403685631917109751617393855264126491601016569<58>
471310318275733112365507965451709142542502088967818564571297947<63>
factorization results 素因数分解の結果
Number: z4
N=1207670515284036739556380049438150039690349312642238946911695143546216849248154581172597287530423560596149760424982683843
  ( 121 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=2562368079914403685631917109751617393855264126491601016569 (pp58)
 r2=471310318275733112365507965451709142542502088967818564571297947 (pp63)
Version: Msieve-1.40
Total time: 3.22 hours.
Scaled time: 6.16 units (timescale=1.916).
Factorization parameters were as follows:
n: 1207670515284036739556380049438150039690349312642238946911695143546216849248154581172597287530423560596149760424982683843
m: 1000000000000000000000000000
deg: 5
c5: 79
c0: 11
skew: 0.67
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1340000/1340000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [670000, 1270001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 195274 x 195499
Total sieving time: 3.03 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1340000,1340000,26,26,48,48,2.3,2.3,75000
total time: 3.22 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 KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10136+119

c127

name 名前Dmitry Domanov
date 日付February 21, 2010 23:53:37 UTC 2010 年 2 月 22 日 (月) 8 時 53 分 37 秒 (日本時間)
composite number 合成数
2047315175741879139982378454398620649415908435309196688801797085579036624660997199701223440635043293623017599004098930643715029<127>
prime factors 素因数
31229406105794931941400519743276923777465682137<47>
65557288179168386962098419468279825208420841845120401264710523887159380860065117<80>
factorization results 素因数分解の結果
Number: z5
N=2047315175741879139982378454398620649415908435309196688801797085579036624660997199701223440635043293623017599004098930643715029
  ( 127 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=31229406105794931941400519743276923777465682137 (pp47)
 r2=65557288179168386962098419468279825208420841845120401264710523887159380860065117 (pp80)
Version: Msieve-1.40
Total time: 3.48 hours.
Scaled time: 6.69 units (timescale=1.922).
Factorization parameters were as follows:
n: 2047315175741879139982378454398620649415908435309196688801797085579036624660997199701223440635043293623017599004098930643715029
m: 1000000000000000000000000000
deg: 5
c5: 790
c0: 11
skew: 0.43
type: snfs
lss: 1
rlim: 1390000
alim: 1390000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1390000/1390000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [695000, 1370001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 224385 x 224611
Total sieving time: 3.35 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,137.000,5,0,0,0,0,0,0,0,0,1390000,1390000,26,26,48,48,2.3,2.3,75000
total time: 3.48 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 KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10137+119

c109

name 名前Dmitry Domanov
date 日付February 22, 2010 00:33:13 UTC 2010 年 2 月 22 日 (月) 9 時 33 分 13 秒 (日本時間)
composite number 合成数
6213677560578607054837832579318425424415671310977958757000343981478847789446058612935525647204944499450676689<109>
prime factors 素因数
68116355482092341689789679769535572177231319<44>
91221521125160181032950795152576982418830694182966047197673518231<65>
factorization results 素因数分解の結果
Number: z7
N=6213677560578607054837832579318425424415671310977958757000343981478847789446058612935525647204944499450676689
  ( 109 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=68116355482092341689789679769535572177231319 (pp44)
 r2=91221521125160181032950795152576982418830694182966047197673518231 (pp65)
Version: Msieve-1.40
Total time: 4.59 hours.
Scaled time: 8.77 units (timescale=1.911).
Factorization parameters were as follows:
n: 6213677560578607054837832579318425424415671310977958757000343981478847789446058612935525647204944499450676689
m: 1000000000000000000000000000
deg: 5
c5: 7900
c0: 11
skew: 0.27
type: snfs
lss: 1
rlim: 1450000
alim: 1450000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1450000/1450000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [725000, 1625001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 244071 x 244296
Total sieving time: 4.36 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,138.000,5,0,0,0,0,0,0,0,0,1450000,1450000,26,26,48,48,2.3,2.3,75000
total time: 4.59 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10138+119

c116

name 名前Serge Batalov
date 日付February 21, 2010 11:00:51 UTC 2010 年 2 月 21 日 (日) 20 時 0 分 51 秒 (日本時間)
composite number 合成数
62991497014267344908252861584877622570228009561954296118298358831667790255170724915919218244887795360239722917614917<116>
prime factors 素因数
427389869678550131944413614747303<33>
147386499969324766346397013444420865315421842561803503208739788710283940412507186739<84>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1250674417
Step 1 took 5540ms
Step 2 took 3028ms
********** Factor found in step 2: 427389869678550131944413614747303
Found probable prime factor of 33 digits: 427389869678550131944413614747303
Probable prime cofactor has 84 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10144+119

c115

name 名前Sinkiti Sibata
date 日付February 22, 2010 12:00:56 UTC 2010 年 2 月 22 日 (月) 21 時 0 分 56 秒 (日本時間)
composite number 合成数
1596759476771170134578510369276433862827612473942768206496892523349002901325856916475684020953731783945453776937319<115>
prime factors 素因数
228335525338014160834074551731927833590907129052035909619<57>
6993040064209997833650743269729019896968052620473505018301<58>
factorization results 素因数分解の結果
Number: 87779_144
N=1596759476771170134578510369276433862827612473942768206496892523349002901325856916475684020953731783945453776937319
  ( 115 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=228335525338014160834074551731927833590907129052035909619 (pp57)
 r2=6993040064209997833650743269729019896968052620473505018301 (pp58)
Version: Msieve-1.40
Total time: 11.47 hours.
Scaled time: 28.26 units (timescale=2.465).
Factorization parameters were as follows:
name: 87779_144
n: 1596759476771170134578510369276433862827612473942768206496892523349002901325856916475684020953731783945453776937319
m: 10000000000000000000000000000
deg: 5
c5: 790000
c0: 11
skew: 0.11
type: snfs
lss: 1
rlim: 1890000
alim: 1890000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1890000/1890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [945000, 2345001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 317537 x 317785
Total sieving time: 11.09 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,145.000,5,0,0,0,0,0,0,0,0,1890000,1890000,26,26,49,49,2.3,2.3,100000
total time: 11.47 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10145+119

c115

name 名前Sinkiti Sibata
date 日付February 22, 2010 13:56:43 UTC 2010 年 2 月 22 日 (月) 22 時 56 分 43 秒 (日本時間)
composite number 合成数
2294120087897228551424514575766721475186546490007089082495047809621923385966333689679172760256986305430086164322007<115>
prime factors 素因数
901302524909491576658917172310182499513373<42>
2545338578883492124987103335415360328002479692388063438328139633031421059<73>
factorization results 素因数分解の結果
Number: 87779_145
N=2294120087897228551424514575766721475186546490007089082495047809621923385966333689679172760256986305430086164322007
  ( 115 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=901302524909491576658917172310182499513373 (pp42)
 r2=2545338578883492124987103335415360328002479692388063438328139633031421059 (pp73)
Version: Msieve-1.40
Total time: 11.03 hours.
Scaled time: 23.64 units (timescale=2.144).
Factorization parameters were as follows:
name: 87779_145
n: 2294120087897228551424514575766721475186546490007089082495047809621923385966333689679172760256986305430086164322007
m: 100000000000000000000000000000
deg: 5
c5: 79
c0: 11
skew: 0.67
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: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 302724 x 302972
Total sieving time: 10.56 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.34 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1970000,1970000,26,26,49,49,2.3,2.3,100000
total time: 11.03 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10146+119

c145

name 名前Sinkiti Sibata
date 日付February 22, 2010 13:13:05 UTC 2010 年 2 月 22 日 (月) 22 時 13 分 5 秒 (日本時間)
composite number 合成数
1937699288692666176109884719156242335050282070149619818493990679421142997301937699288692666176109884719156242335050282070149619818493990679421143<145>
prime factors 素因数
18375792628322693910795729118188910169<38>
105448473863711398631449687673214298198968447549222795748427498899820285315849958304874356240099761955932847<108>
factorization results 素因数分解の結果
Number: 87779_146
N=1937699288692666176109884719156242335050282070149619818493990679421142997301937699288692666176109884719156242335050282070149619818493990679421143
  ( 145 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=18375792628322693910795729118188910169 (pp38)
 r2=105448473863711398631449687673214298198968447549222795748427498899820285315849958304874356240099761955932847 (pp108)
Version: Msieve-1.40
Total time: 12.67 hours.
Scaled time: 38.68 units (timescale=3.053).
Factorization parameters were as follows:
name: 87779_146
n: 1937699288692666176109884719156242335050282070149619818493990679421142997301937699288692666176109884719156242335050282070149619818493990679421143
m: 100000000000000000000000000000
deg: 5
c5: 790
c0: 11
skew: 0.43
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 361096 x 361344
Total sieving time: 12.02 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.38 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,147.000,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 12.67 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10149+119

c111

name 名前Dmitry Domanov
date 日付February 22, 2010 15:03:36 UTC 2010 年 2 月 23 日 (火) 0 時 3 分 36 秒 (日本時間)
composite number 合成数
102671161754333277025742580451745842661918379210736542343623522045599537873329975325337546756947285974727270293<111>
prime factors 素因数
688961071360417676138142592820442313122914909<45>
149023168394114814917304115590299513557243324550943509771809754777<66>
factorization results 素因数分解の結果
Number: zz6
N=102671161754333277025742580451745842661918379210736542343623522045599537873329975325337546756947285974727270293
  ( 111 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=688961071360417676138142592820442313122914909 (pp45)
 r2=149023168394114814917304115590299513557243324550943509771809754777 (pp66)
Version: Msieve-1.40
Total time: 12.96 hours.
Scaled time: 24.27 units (timescale=1.872).
Factorization parameters were as follows:
n: 102671161754333277025742580451745842661918379210736542343623522045599537873329975325337546756947285974727270293
m: 100000000000000000000000000000
deg: 5
c5: 790000
c0: 11
skew: 0.11
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 363731 x 363965
Total sieving time: 12.68 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,150.000,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 12.96 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 KamadaFebruary 21, 2010 02:00:00 UTC 2010 年 2 月 21 日 (日) 11 時 0 分 0 秒 (日本時間)

79×10153+119

c118

name 名前Sinkiti Sibata
date 日付November 10, 2010 22:18:23 UTC 2010 年 11 月 11 日 (木) 7 時 18 分 23 秒 (日本時間)
composite number 合成数
3254132267016444444015008192787868061743268026400825335176778344000118524700734280604030666670991294805677155444126727<118>
prime factors 素因数
415774624644074093246092239969473<33>
1051304104648863685139903877881429397949799<43>
7444728445716177427192831639368432172010401<43>
factorization results 素因数分解の結果
Number: 87779_153
N=3254132267016444444015008192787868061743268026400825335176778344000118524700734280604030666670991294805677155444126727
  ( 118 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=415774624644074093246092239969473 (pp33)
 r2=1051304104648863685139903877881429397949799 (pp43)
 r3=7444728445716177427192831639368432172010401 (pp43)
Version: Msieve v. 1.42
Total time: 1.36 hours.
Scaled time: 1.16 units (timescale=0.853).
Factorization parameters were as follows:
name: 87779_153
n: 3254132267016444444015008192787868061743268026400825335176778344000118524700734280604030666670991294805677155444126727
m: 1000000000000000000000000000000
deg: 5
c5: 79000
c0: 11
skew: 0.17
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1350000, 2550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 589344 x 589592
Total sieving time: 0.00 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 1.13 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,154.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 1.36 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.05 BogoMIPS (lpj=2913529)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.59 BogoMIPS).

Total time: 13 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 9, 2010 01:00:00 UTC 2010 年 11 月 9 日 (火) 10 時 0 分 0 秒 (日本時間)

79×10157+119

c132

name 名前Sinkiti Sibata
date 日付November 10, 2010 22:32:10 UTC 2010 年 11 月 11 日 (木) 7 時 32 分 10 秒 (日本時間)
composite number 合成数
286586347268755547756725672838226657421738625343254813363216945681611012706626733778490245779264164722276508249147136681228212611973<132>
prime factors 素因数
19554397106414279390110573492785067<35>
14655851863351431029551759677013771198309955812109918992999751101729894972278744983777158395167119<98>
factorization results 素因数分解の結果
Number: 87779_157
N=286586347268755547756725672838226657421738625343254813363216945681611012706626733778490245779264164722276508249147136681228212611973
  ( 132 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=19554397106414279390110573492785067 (pp35)
 r2=14655851863351431029551759677013771198309955812109918992999751101729894972278744983777158395167119 (pp98)
Version: Msieve-1.40
Total time: 31.07 hours.
Scaled time: 76.58 units (timescale=2.465).
Factorization parameters were as follows:
name: 87779_157
n: 286586347268755547756725672838226657421738625343254813363216945681611012706626733778490245779264164722276508249147136681228212611973
m: 10000000000000000000000000000000
deg: 5
c5: 7900
c0: 11
skew: 0.27
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 3150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 578997 x 579245
Total sieving time: 30.12 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.72 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,158.000,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 31.07 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 9, 2010 01:00:00 UTC 2010 年 11 月 9 日 (火) 10 時 0 分 0 秒 (日本時間)

79×10158+119

c156

name 名前Sinkiti Sibata
date 日付November 11, 2010 10:06:35 UTC 2010 年 11 月 11 日 (木) 19 時 6 分 35 秒 (日本時間)
composite number 合成数
124560490673730350188417451082414896803998549422133926178200337417025369345505573687778881478328051337842738438736735884458319537076454913832521325071346357<156>
prime factors 素因数
2055769658030850857744701554034088865875073101358464101678543801538139761<73>
60590684460749578589930120878657977599234952657184822573742835006373075731922543237<83>
factorization results 素因数分解の結果
Number: 87779_158
N=124560490673730350188417451082414896803998549422133926178200337417025369345505573687778881478328051337842738438736735884458319537076454913832521325071346357
  ( 156 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=2055769658030850857744701554034088865875073101358464101678543801538139761 (pp73)
 r2=60590684460749578589930120878657977599234952657184822573742835006373075731922543237 (pp83)
Version: Msieve-1.40
Total time: 34.44 hours.
Scaled time: 112.07 units (timescale=3.254).
Factorization parameters were as follows:
name: 87779_158
n: 124560490673730350188417451082414896803998549422133926178200337417025369345505573687778881478328051337842738438736735884458319537076454913832521325071346357
m: 10000000000000000000000000000000
deg: 5
c5: 79000
c0: 11
skew: 0.17
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, 3400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 623558 x 623806
Total sieving time: 33.49 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.74 hours.
Time per square root: 0.13 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: 34.44 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 9, 2010 01:00:00 UTC 2010 年 11 月 9 日 (火) 10 時 0 分 0 秒 (日本時間)

79×10160+119

c146

name 名前Sinkiti Sibata
date 日付November 11, 2010 07:42:13 UTC 2010 年 11 月 11 日 (木) 16 時 42 分 13 秒 (日本時間)
composite number 合成数
19881405132320702560840629283944546207897548299656767308127413714517072459359446290811140334655722541111046686669526431163247722525932692745919239<146>
prime factors 素因数
141902385999580310718514319444969<33>
140106207462780108816368790040490237168702168112849565476067955407767898202043595814888942563950409763401692350831<114>
factorization results 素因数分解の結果
Number: 87779_160
N=19881405132320702560840629283944546207897548299656767308127413714517072459359446290811140334655722541111046686669526431163247722525932692745919239
  ( 146 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=141902385999580310718514319444969 (pp33)
 r2=140106207462780108816368790040490237168702168112849565476067955407767898202043595814888942563950409763401692350831 (pp114)
Version: Msieve-1.40
Total time: 31.08 hours.
Scaled time: 92.25 units (timescale=2.968).
Factorization parameters were as follows:
name: 87779_160
n: 19881405132320702560840629283944546207897548299656767308127413714517072459359446290811140334655722541111046686669526431163247722525932692745919239
m: 100000000000000000000000000000000
deg: 5
c5: 79
c0: 11
skew: 0.67
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 3250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 616469 x 616717
Total sieving time: 30.04 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.74 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 31.08 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 9, 2010 01:00:00 UTC 2010 年 11 月 9 日 (火) 10 時 0 分 0 秒 (日本時間)

79×10163+119

c142

name 名前Sinkiti Sibata
date 日付November 13, 2010 13:42:56 UTC 2010 年 11 月 13 日 (土) 22 時 42 分 56 秒 (日本時間)
composite number 合成数
7661278521219864097551645070053972734580655334320989268659125824276632226279593753661718428185874946757240624073217562940042514611646872923559<142>
prime factors 素因数
635103121167855912762287512650801182156668003787720119<54>
12063046560268769969536581704628584122444439863675575764126736670497979328074393781327761<89>
factorization results 素因数分解の結果
Number: 87779_163
N=7661278521219864097551645070053972734580655334320989268659125824276632226279593753661718428185874946757240624073217562940042514611646872923559
  ( 142 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=635103121167855912762287512650801182156668003787720119 (pp54)
 r2=12063046560268769969536581704628584122444439863675575764126736670497979328074393781327761 (pp89)
Version: Msieve-1.40
Total time: 48.39 hours.
Scaled time: 164.13 units (timescale=3.392).
Factorization parameters were as follows:
name: 87779_163
n: 7661278521219864097551645070053972734580655334320989268659125824276632226279593753661718428185874946757240624073217562940042514611646872923559
m: 100000000000000000000000000000000
deg: 5
c5: 79000
c0: 11
skew: 0.17
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 4550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 807696 x 807943
Total sieving time: 46.82 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.23 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 48.39 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 9, 2010 01:00:00 UTC 2010 年 11 月 9 日 (火) 10 時 0 分 0 秒 (日本時間)

79×10165+119

c145

name 名前Sinkiti Sibata
date 日付November 13, 2010 11:09:18 UTC 2010 年 11 月 13 日 (土) 20 時 9 分 18 秒 (日本時間)
composite number 合成数
2335785325454856017381779547973195053748946942728196671917238186195709504605528965680115597256602525839600500047002617907370037320879304366010367<145>
prime factors 素因数
109033491718355088304046573126329880897<39>
21422640774345132288034447930081816925157851582034714763610797988173578463791994644490671129170043847176511<107>
factorization results 素因数分解の結果
Number: 87779_165
N=2335785325454856017381779547973195053748946942728196671917238186195709504605528965680115597256602525839600500047002617907370037320879304366010367
  ( 145 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=109033491718355088304046573126329880897 (pp39)
 r2=21422640774345132288034447930081816925157851582034714763610797988173578463791994644490671129170043847176511 (pp107)
Version: Msieve-1.40
Total time: 43.46 hours.
Scaled time: 141.42 units (timescale=3.254).
Factorization parameters were as follows:
name: 87779_165
n: 2335785325454856017381779547973195053748946942728196671917238186195709504605528965680115597256602525839600500047002617907370037320879304366010367
m: 1000000000000000000000000000000000
deg: 5
c5: 79
c0: 11
skew: 0.67
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 753935 x 754183
Total sieving time: 42.22 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.09 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 43.46 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 KamadaNovember 9, 2010 01:00:00 UTC 2010 年 11 月 9 日 (火) 10 時 0 分 0 秒 (日本時間)

79×10166+119

c167

name 名前Sinkiti Sibata
date 日付November 12, 2010 06:15:19 UTC 2010 年 11 月 12 日 (金) 15 時 15 分 19 秒 (日本時間)
composite number 合成数
87777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<167>
prime factors 素因数
45323141151428721058697532795234195229<38>
1936709935538321785278234983549385464788201194032970291765575951304345906125463760484568628434053048827256568574139259910011935951<130>
factorization results 素因数分解の結果
Number: 87779_166
N=87777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
  ( 167 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=45323141151428721058697532795234195229 (pp38)
 r2=1936709935538321785278234983549385464788201194032970291765575951304345906125463760484568628434053048827256568574139259910011935951 (pp130)
Version: Msieve v. 1.42
Total time: 3.69 hours.
Scaled time: 3.15 units (timescale=0.854).
Factorization parameters were as follows:
name: 87779_166
n: 87777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
m: 1000000000000000000000000000000000
deg: 5
c5: 790
c0: 11
skew: 0.43
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 4800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 839583 x 839808
Total sieving time: 0.00 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 2.45 hours.
Time per square root: 1.15 hours.
Prototype def-par.txt line would be:
snfs,167.000,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 3.69 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.05 BogoMIPS (lpj=2913529)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.59 BogoMIPS).

Total time: 31 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 9, 2010 01:00:00 UTC 2010 年 11 月 9 日 (火) 10 時 0 分 0 秒 (日本時間)

79×10167+119

c142

name 名前Markus Tervooren
date 日付November 25, 2010 23:47:07 UTC 2010 年 11 月 26 日 (金) 8 時 47 分 7 秒 (日本時間)
composite number 合成数
1405980825248236516481630743112554267972539895279990695119942838443978180615561546979894855435630001677681858080513143528303608004956600872737<142>
prime factors 素因数
133875977505082512100982492126037951679922670859326859<54>
10502114355765278301572451762106874710565086296208331940617991889151839042674852078394243<89>
factorization results 素因数分解の結果
Msieve v. 1.47
Thu Nov 25 23:56:57 2010
random seeds: 5faaae4f 327a439a
factoring 1405980825248236516481630743112554267972539895279990695119942838443978180615561546979894855435630001677681858080513143528303608004956600872737 (142 digits)
no P-1/P+1/ECM available, skipping
commencing number field sieve (142-digit input)
R0: -1000000000000000000000000000000000
R1:  1
A0:  11
A1:  0
A2:  0
A3:  0
A4:  0
A5:  7900
skew 0.27, size 4.993e-12, alpha 0.677, combined = 2.222e-10 rroots = 1

commencing relation filtering
estimated available RAM is 3960.1 MB
commencing duplicate removal, pass 1
error -15 reading relation 6341321
read 10M relations
error -11 reading relation 10687818
error -11 reading relation 11838547
error -9 reading relation 12260301
error -15 reading relation 12476095
error -15 reading relation 12892511
error -15 reading relation 13532888
error -15 reading relation 13608831
error -11 reading relation 13677009
error -5 reading relation 13749148
error -15 reading relation 14005752
error -11 reading relation 14241236
error -5 reading relation 14467429
error -9 reading relation 14697295
error -9 reading relation 14926082
error -5 reading relation 15155940
error -9 reading relation 18179375
error -15 reading relation 19108564
error -11 reading relation 19572533
read 20M relations
error -15 reading relation 20038811
error -5 reading relation 20517270
error -15 reading relation 20633502
error -9 reading relation 20729910
error -9 reading relation 20825036
error -11 reading relation 20919373
error -15 reading relation 21012630
error -15 reading relation 21109520
error -1 reading relation 21558942
error -9 reading relation 22012503
error -9 reading relation 22454038
error -11 reading relation 22893778
error -5 reading relation 23334540
skipped 1 relations with b > 2^32
found 3537151 hash collisions in 23794426 relations
added 8671 free relations
commencing duplicate removal, pass 2
found 3240128 duplicates and 20562969 unique relations
memory use: 106.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 689.0 MB
reading all ideals from disk
memory use: 599.7 MB
keeping 24059368 ideals with weight <= 200, target excess is 145294
commencing in-memory singleton removal
begin with 20562968 relations and 24059368 unique ideals
reduce to 5343862 relations and 4858129 ideals in 18 passes
max relations containing the same ideal: 81
removing 1137292 relations and 978696 ideals in 158596 cliques
commencing in-memory singleton removal
begin with 4206570 relations and 4858129 unique ideals
reduce to 4042864 relations and 3709506 ideals in 10 passes
max relations containing the same ideal: 69
removing 841007 relations and 682411 ideals in 158596 cliques
commencing in-memory singleton removal
begin with 3201857 relations and 3709506 unique ideals
reduce to 3075767 relations and 2896095 ideals in 9 passes
max relations containing the same ideal: 57
removing 99215 relations and 88085 ideals in 11130 cliques
commencing in-memory singleton removal
begin with 2976552 relations and 2896095 unique ideals
reduce to 2974191 relations and 2805643 ideals in 6 passes
max relations containing the same ideal: 56
relations with 0 large ideals: 3970
relations with 1 large ideals: 16866
relations with 2 large ideals: 101630
relations with 3 large ideals: 335766
relations with 4 large ideals: 669629
relations with 5 large ideals: 830213
relations with 6 large ideals: 653534
relations with 7+ large ideals: 362583
commencing 2-way merge
reduce to 1728838 relation sets and 1560290 unique ideals
commencing full merge
memory use: 172.3 MB
found 868771 cycles, need 846490
weight of 846490 cycles is about 59315581 (70.07/cycle)
distribution of cycle lengths:
1 relations: 94639
2 relations: 93377
3 relations: 94832
4 relations: 86568
5 relations: 81077
6 relations: 70569
7 relations: 62567
8 relations: 53718
9 relations: 45347
10+ relations: 163796
heaviest cycle: 21 relations
commencing cycle optimization
start with 5054248 relations
pruned 108392 relations
memory use: 169.7 MB
distribution of cycle lengths:
1 relations: 94639
2 relations: 95204
3 relations: 97575
4 relations: 88501
5 relations: 82909
6 relations: 71597
7 relations: 63451
8 relations: 53919
9 relations: 45022
10+ relations: 153673
heaviest cycle: 20 relations
RelProcTime: 641

commencing linear algebra
read 846490 cycles
cycles contain 2843025 unique relations
read 2843025 relations
using 20 quadratic characters above 536865878
building initial matrix
memory use: 346.7 MB
read 846490 cycles
matrix is 846307 x 846490 (254.1 MB) with weight 75344817 (89.01/col)
sparse part has weight 57291416 (67.68/col)
filtering completed in 2 passes
matrix is 843997 x 844179 (253.8 MB) with weight 75260312 (89.15/col)
sparse part has weight 57257105 (67.83/col)
matrix starts at (0, 0)
matrix is 843997 x 844179 (253.8 MB) with weight 75260312 (89.15/col)
sparse part has weight 57257105 (67.83/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 843949 x 844179 (240.5 MB) with weight 59925595 (70.99/col)
sparse part has weight 54598927 (64.68/col)
using block size 65536 for processor cache size 6144 kB
commencing Lanczos iteration (6 threads)
memory use: 221.6 MB
linear algebra at 0.4%, ETA 0h23m844179 dimensions (0.4%, ETA 0h23m)    
linear algebra completed 843705 of 844179 dimensions (99.9%, ETA 0h 0m)    
lanczos halted after 13350 iterations (dim = 843947)
recovered 39 nontrivial dependencies
BLanczosTime: 1619

commencing square root phase
reading relations for dependency 1
read 420908 cycles
cycles contain 1419458 unique relations
read 1419458 relations
multiplying 1419458 relations
multiply complete, coefficients have about 48.07 million bits
initial square root is modulo 7960451
reading relations for dependency 2
read 422004 cycles
cycles contain 1421200 unique relations
read 1421200 relations
multiplying 1421200 relations
multiply complete, coefficients have about 48.13 million bits
initial square root is modulo 8123321
reading relations for dependency 3
read 421637 cycles
cycles contain 1420444 unique relations
read 1420444 relations
multiplying 1420444 relations
multiply complete, coefficients have about 48.10 million bits
initial square root is modulo 8056021
sqrtTime: 690
prp54 factor: 133875977505082512100982492126037951679922670859326859
prp89 factor: 10502114355765278301572451762106874710565086296208331940617991889151839042674852078394243
elapsed time 00:49:10

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 9, 2010 01:00:00 UTC 2010 年 11 月 9 日 (火) 10 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 12, 2010 06:34:46 UTC 2010 年 11 月 12 日 (金) 15 時 34 分 46 秒 (日本時間)
403e6110 / 2126Ignacio SantosNovember 12, 2010 06:34:46 UTC 2010 年 11 月 12 日 (金) 15 時 34 分 46 秒 (日本時間)
4511e632 / 4437Ignacio SantosNovember 12, 2010 06:34:46 UTC 2010 年 11 月 12 日 (金) 15 時 34 分 46 秒 (日本時間)

79×10170+119

c144

name 名前Sinkiti Sibata
date 日付April 6, 2011 08:49:38 UTC 2011 年 4 月 6 日 (水) 17 時 49 分 38 秒 (日本時間)
composite number 合成数
382301516083238142474988110117027039499772931676597312976348791220133352684671348941967856642057412609604967265665207020256534734951743939044409<144>
prime factors 素因数
249496517584349540241210733999711471658659<42>
12272636344995531760861200385031475763296809<44>
124854346658247096909007679407813171697036565674650401889339<60>
factorization results 素因数分解の結果
Number: 87779_170
N=382301516083238142474988110117027039499772931676597312976348791220133352684671348941967856642057412609604967265665207020256534734951743939044409
  ( 144 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=249496517584349540241210733999711471658659 (pp42)
 r2=12272636344995531760861200385031475763296809 (pp44)
 r3=124854346658247096909007679407813171697036565674650401889339 (pp60)
Version: Msieve-1.40
Total time: 71.78 hours.
Scaled time: 233.56 units (timescale=3.254).
Factorization parameters were as follows:
name : 87779_170
n: 382301516083238142474988110117027039499772931676597312976348791220133352684671348941967856642057412609604967265665207020256534734951743939044409
m: 10000000000000000000000000000000000
deg: 5
c5: 79
c0: 11
skew: 0.67
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 5650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 965094 x 965342
Total sieving time: 69.50 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.99 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 71.78 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 9, 2010 01:00:00 UTC 2010 年 11 月 9 日 (火) 10 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 12, 2010 06:35:08 UTC 2010 年 11 月 12 日 (金) 15 時 35 分 8 秒 (日本時間)
403e6860110Ignacio SantosNovember 12, 2010 06:35:08 UTC 2010 年 11 月 12 日 (金) 15 時 35 分 8 秒 (日本時間)
750Ignacio SantosNovember 30, 2010 18:28:05 UTC 2010 年 12 月 1 日 (水) 3 時 28 分 5 秒 (日本時間)
4511e6246 / 406832Ignacio SantosNovember 12, 2010 06:35:08 UTC 2010 年 11 月 12 日 (金) 15 時 35 分 8 秒 (日本時間)
214Ignacio SantosNovember 30, 2010 18:28:05 UTC 2010 年 12 月 1 日 (水) 3 時 28 分 5 秒 (日本時間)
5043e658 / 7463Ignacio SantosNovember 30, 2010 18:28:05 UTC 2010 年 12 月 1 日 (水) 3 時 28 分 5 秒 (日本時間)

79×10171+119

c172

name 名前Sinkiti Sibata
date 日付November 14, 2010 05:35:29 UTC 2010 年 11 月 14 日 (日) 14 時 35 分 29 秒 (日本時間)
composite number 合成数
8777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<172>
prime factors 素因数
111599999495124175034794613000453251488316252572861479514454196587442043885294163987<84>
78653923095772778561880650104522928110526187119017373284936736160695610135130490961770017<89>
factorization results 素因数分解の結果
Number: 87779_171
N=8777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
  ( 172 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=111599999495124175034794613000453251488316252572861479514454196587442043885294163987 (pp84)
 r2=78653923095772778561880650104522928110526187119017373284936736160695610135130490961770017 (pp89)
Version: Msieve v. 1.42
Total time: 4.82 hours.
Scaled time: 4.10 units (timescale=0.852).
Factorization parameters were as follows:
name: 87779_171
n: 8777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
m: 10000000000000000000000000000000000
deg: 5
c5: 790
c0: 11
skew: 0.43
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 6350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1095572 x 1095801
Total sieving time: 0.00 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 4.54 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 4.82 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.05 BogoMIPS (lpj=2913529)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.59 BogoMIPS).

Total tims; 46 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 9, 2010 01:00:00 UTC 2010 年 11 月 9 日 (火) 10 時 0 分 0 秒 (日本時間)

79×10172+119

c110

name 名前Erik Branger
date 日付November 11, 2010 11:43:36 UTC 2010 年 11 月 11 日 (木) 20 時 43 分 36 秒 (日本時間)
composite number 合成数
51367665060485978756051188049354873821972992178133762317814280436677936098147022985185066315965199993619046237<110>
prime factors 素因数
480981903054279669679257334285237613078710757788759<51>
106797500559369373410954129127780238484423470969573764014443<60>
factorization results 素因数分解の結果
Number: 87779_172
N = 51367665060485978756051188049354873821972992178133762317814280436677936098147022985185066315965199993619046237 (110 digits)
Divisors found:
r1=480981903054279669679257334285237613078710757788759 (pp51)
r2=106797500559369373410954129127780238484423470969573764014443 (pp60)
Version: Msieve v. 1.47
Total time: 13.50 hours.
Factorization parameters were as follows:
# Murphy_E = 1.096e-09, selected by Erik Branger
n: 51367665060485978756051188049354873821972992178133762317814280436677936098147022985185066315965199993619046237
Y0: -2734434834007201511870
Y1: 208890487217
c0: 3798367207946480562580865691
c1: -153475512739882837205295
c2: -3094386977920061789
c3: 27215894548331
c4: 128196790
c5: 336
skew: 120443.2
type: gnfs
# selected mechanically
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.5
alambda: 2.5
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [1400000, 2200000)
Relations: 7381939
Relations in full relation-set: 468532 relations
Pruned matrix : 293077 x 293301
Polynomial selection time: 0.00 hours.
Total sieving time: 13.31 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.07 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: gnfs,109,5,61,2000,0.00015,0.3,250,15,50000,2400,2800000,2800000,27,27,49,49,2.5,2.5,100000
total time: 13.50 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 9, 2010 01:00:00 UTC 2010 年 11 月 9 日 (火) 10 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 10, 2010 14:25:32 UTC 2010 年 11 月 10 日 (水) 23 時 25 分 32 秒 (日本時間)
403e6110 / 2126Ignacio SantosNovember 10, 2010 14:25:32 UTC 2010 年 11 月 10 日 (水) 23 時 25 分 32 秒 (日本時間)
4511e632 / 4437Ignacio SantosNovember 10, 2010 14:25:32 UTC 2010 年 11 月 10 日 (水) 23 時 25 分 32 秒 (日本時間)

79×10175+119

c116

name 名前Serge Batalov
date 日付November 9, 2010 19:31:31 UTC 2010 年 11 月 10 日 (水) 4 時 31 分 31 秒 (日本時間)
composite number 合成数
56289948165996439755484115073780263758782006162626264854196863935761358800184601565023098956240343236885551442181041<116>
prime factors 素因数
1114037536278502754210896142920897<34>
50527873911713768059832181535601251616635117062383449567448406340796219496088525553<83>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2960204860
Step 1 took 3979ms
Step 2 took 2093ms
********** Factor found in step 2: 1114037536278502754210896142920897
Found probable prime factor of 34 digits: 1114037536278502754210896142920897
Probable prime cofactor 50527873911713768059832181535601251616635117062383449567448406340796219496088525553 has 83 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 9, 2010 01:00:00 UTC 2010 年 11 月 9 日 (火) 10 時 0 分 0 秒 (日本時間)

79×10176+119

c168

name 名前Robert Backstrom
date 日付January 4, 2012 07:36:04 UTC 2012 年 1 月 4 日 (水) 16 時 36 分 4 秒 (日本時間)
composite number 合成数
122296663385397804953380342172813695880007956118729504585961812154472105020310118590098743213519612198460645108181091394181263335271037428175173657410823412515649125747<168>
prime factors 素因数
353048792738824439139930685615147122904818333693943429531905211<63>
346401590660216291057770250731049843310589513657131170324298144905365142114845064187646110688172331729577<105>
factorization results 素因数分解の結果
Number: n
N=122296663385397804953380342172813695880007956118729504585961812154472105020310118590098743213519612198460645108181091394181263335271037428175173657410823412515649125747
  ( 168 digits)
SNFS difficulty: 177 digits.
Divisors found:

Wed Jan  4 18:31:58 2012  prp63 factor: 353048792738824439139930685615147122904818333693943429531905211
Wed Jan  4 18:31:58 2012  prp105 factor: 346401590660216291057770250731049843310589513657131170324298144905365142114845064187646110688172331729577
Wed Jan  4 18:31:58 2012  elapsed time 02:40:50 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.638).
Factorization parameters were as follows:
name: KA_87_175_9
n: 122296663385397804953380342172813695880007956118729504585961812154472105020310118590098743213519612198460645108181091394181263335271037428175173657410823412515649125747
m: 100000000000000000000000000000000000
deg: 5
c5: 790
c0: 11
skew: 0.43
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10406187 hash collisions in 81400296 relations
Msieve: matrix is 1138785 x 1139012 (314.7 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.66 BogoMIPS (lpj=2797831)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44761.43 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 9, 2010 01:00:00 UTC 2010 年 11 月 9 日 (火) 10 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 15, 2011 15:13:58 UTC 2011 年 1 月 16 日 (日) 0 時 13 分 58 秒 (日本時間)
403e62126110Ignacio SantosJanuary 15, 2011 15:13:58 UTC 2011 年 1 月 16 日 (日) 0 時 13 分 58 秒 (日本時間)
2016Wataru SakaiNovember 5, 2011 01:56:32 UTC 2011 年 11 月 5 日 (土) 10 時 56 分 32 秒 (日本時間)
4511e632 / 3991Ignacio SantosJanuary 15, 2011 15:13:58 UTC 2011 年 1 月 16 日 (日) 0 時 13 分 58 秒 (日本時間)

79×10178+119

c153

name 名前Ben Meekins
date 日付October 30, 2013 01:28:40 UTC 2013 年 10 月 30 日 (水) 10 時 28 分 40 秒 (日本時間)
composite number 合成数
380875655202329443006341310890906444211675731370307390240678099619958050052950984360148968170398732297884109998982063487230908674172923435818693491912631<153>
prime factors 素因数
44124653126462088107086650893918969741115617687<47>
8631810750120406191090427117397688447378597013250471870540943517229632772007300425535372836588985074022113<106>
factorization results 素因数分解の結果
Number: 87779_178
N = 380875655202329443006341310890906444211675731370307390240678099619958050052950984360148968170398732297884109998982063487230908674172923435818693491912631 (153 digits)
SNFS difficulty: 180 digits.
Divisors found:
r1=44124653126462088107086650893918969741115617687 (pp47)
r2=8631810750120406191090427117397688447378597013250471870540943517229632772007300425535372836588985074022113 (pp106)
Version: Msieve v. 1.52 (SVN 945M)
Total time: 92.72 hours.
Factorization parameters were as follows:
n: 380875655202329443006341310890906444211675731370307390240678099619958050052950984360148968170398732297884109998982063487230908674172923435818693491912631
m: 100000000000000000000000000000000000
deg: 5
c5: 79000
c0: 11
skew: 0.17
# Murphy_E = 7.423e-11
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 200000
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19459205
Relations: 2748568 relations
Pruned matrix : 1634692 x 1634916
Polynomial selection time: 0.00 hours.
Total sieving time: 88.83 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 3.53 hours.
time per square root: 0.20 hours.
Prototype def-par.txt line would be: snfs,180,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,200000
total time: 92.72 hours.
x86 Family 16 Model 4 Stepping 3, AuthenticAMD
Windows-XP-5.1.2600-SP3
processors: 4, speed: 3.20GHz
software ソフトウェア
MSieve 1.52

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 9, 2010 01:00:00 UTC 2010 年 11 月 9 日 (火) 10 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 15, 2011 16:42:09 UTC 2011 年 1 月 16 日 (日) 1 時 42 分 9 秒 (日本時間)
403e62126110Ignacio SantosJanuary 15, 2011 16:42:09 UTC 2011 年 1 月 16 日 (日) 1 時 42 分 9 秒 (日本時間)
2016Wataru SakaiMarch 26, 2012 09:44:39 UTC 2012 年 3 月 26 日 (月) 18 時 44 分 39 秒 (日本時間)
4511e632 / 3991Ignacio SantosJanuary 15, 2011 16:42:09 UTC 2011 年 1 月 16 日 (日) 1 時 42 分 9 秒 (日本時間)

79×10180+119

c154

name 名前Dmitry Domanov
date 日付January 28, 2014 07:17:18 UTC 2014 年 1 月 28 日 (火) 16 時 17 分 18 秒 (日本時間)
composite number 合成数
2308652365426918348522993072852964469091334307836193499011483077099934221274541502123382774127053575798663240851454002390589575940401043511061919730677789<154>
prime factors 素因数
53042248312416986938011236400510050239816225811646031829894951911460911<71>
43524783335522217718023173654609347820864243813015910756909791044637515178830691699<83>
factorization results 素因数分解の結果
Number: 8779
N=2308652365426918348522993072852964469091334307836193499011483077099934221274541502123382774127053575798663240851454002390589575940401043511061919730677789
  ( 154 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=53042248312416986938011236400510050239816225811646031829894951911460911 (pp71)
 r2=43524783335522217718023173654609347820864243813015910756909791044637515178830691699 (pp83)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 121.59 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2308652365426918348522993072852964469091334307836193499011483077099934221274541502123382774127053575798663240851454002390589575940401043511061919730677789
m: 1000000000000000000000000000000000000
deg: 5
c5: 79
c0: 11
skew: 0.67
# Murphy_E = 8.932e-11
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3750000, 9750001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1624316 x 1624556
Total sieving time: 118.32 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.52 hours.
Time per square root: 0.55 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 121.59 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 9, 2010 01:00:00 UTC 2010 年 11 月 9 日 (火) 10 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 15, 2011 17:10:53 UTC 2011 年 1 月 16 日 (日) 2 時 10 分 53 秒 (日本時間)
403e6110Ignacio SantosJanuary 15, 2011 17:10:53 UTC 2011 年 1 月 16 日 (日) 2 時 10 分 53 秒 (日本時間)
4511e61482 / 443732Ignacio SantosJanuary 15, 2011 17:10:53 UTC 2011 年 1 月 16 日 (日) 2 時 10 分 53 秒 (日本時間)
600Rich DickersonSeptember 11, 2012 04:11:56 UTC 2012 年 9 月 11 日 (火) 13 時 11 分 56 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:05:51 UTC 2013 年 11 月 9 日 (土) 2 時 5 分 51 秒 (日本時間)

79×10181+119

c157

name 名前Dmitry Domanov
date 日付February 20, 2014 05:54:47 UTC 2014 年 2 月 20 日 (木) 14 時 54 分 47 秒 (日本時間)
composite number 合成数
7432188454016360684283119631153389540607978068667565224945379325012293512722870278866863104325223470093141441410069829824409900703191481417006395541154257883<157>
prime factors 素因数
8008614125476438579251668405634852956705507<43>
928024292039943191678319710740382388879143857015084622679986637668321188717163026186617817694900500190244036889769<114>
factorization results 素因数分解の結果
N=7432188454016360684283119631153389540607978068667565224945379325012293512722870278866863104325223470093141441410069829824409900703191481417006395541154257883
  ( 157 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=8008614125476438579251668405634852956705507 (pp43)
 r2=928024292039943191678319710740382388879143857015084622679986637668321188717163026186617817694900500190244036889769 (pp114)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 159.26 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 7432188454016360684283119631153389540607978068667565224945379325012293512722870278866863104325223470093141441410069829824409900703191481417006395541154257883
m: 1000000000000000000000000000000000000
deg: 5
c5: 790
c0: 11
skew: 0.43
# Murphy_E = 7.088e-11
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3900000, 11700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1522337 x 1522571
Total sieving time: 154.79 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 2.19 hours.
Time per square root: 2.04 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 159.26 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 9, 2010 01:00:00 UTC 2010 年 11 月 9 日 (火) 10 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 16, 2011 00:40:54 UTC 2011 年 1 月 16 日 (日) 9 時 40 分 54 秒 (日本時間)
403e6110Ignacio SantosJanuary 16, 2011 00:40:54 UTC 2011 年 1 月 16 日 (日) 9 時 40 分 54 秒 (日本時間)
4511e61282 / 408632Ignacio SantosJanuary 16, 2011 00:40:54 UTC 2011 年 1 月 16 日 (日) 9 時 40 分 54 秒 (日本時間)
400Rich DickersonJune 21, 2013 22:29:56 UTC 2013 年 6 月 22 日 (土) 7 時 29 分 56 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:06:09 UTC 2013 年 11 月 9 日 (土) 2 時 6 分 9 秒 (日本時間)
5043e6100 / 7259Rich DickersonJune 22, 2013 15:48:19 UTC 2013 年 6 月 23 日 (日) 0 時 48 分 19 秒 (日本時間)

79×10182+119

c175

name 名前Ignacio Santos
date 日付January 16, 2011 00:40:20 UTC 2011 年 1 月 16 日 (日) 9 時 40 分 20 秒 (日本時間)
composite number 合成数
4555958128666357923801875962357126068601925453211244566716441316607331453933707645432171091747977644356370968715308775774379389416593119805760427621168822072867880122584731679<175>
prime factors 素因数
4180985042118870623767254709084684423<37>
composite cofactor 合成数の残り
1089685345144754609508235295011581096193149431538030109068625897995387966699116097905553133125556694920444436061884402270017065217790005673<139>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2149433059
Step 1 took 9703ms
Step 2 took 6599ms
********** Factor found in step 2: 4180985042118870623767254709084684423
Found probable prime factor of 37 digits: 4180985042118870623767254709084684423
Composite cofactor 1089685345144754609508235295011581096193149431538030109068625897995387966699116097905553133125556694920444436061884402270017065217790005673 has 139 digits
software ソフトウェア
GMP-ECM 6.3

c139

name 名前Serge Batalov
date 日付November 8, 2013 01:06:25 UTC 2013 年 11 月 8 日 (金) 10 時 6 分 25 秒 (日本時間)
composite number 合成数
1089685345144754609508235295011581096193149431538030109068625897995387966699116097905553133125556694920444436061884402270017065217790005673<139>
prime factors 素因数
5869092111255706971815031757201218084335179<43>
185665061050066514959705287570362605523759896885143505666556260664784928603546026272884706096987<96>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=841014373
Step 1 took 33547ms
Step 2 took 13386ms
********** Factor found in step 2: 5869092111255706971815031757201218084335179
Found probable prime factor of 43 digits: 5869092111255706971815031757201218084335179
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 9, 2010 01:00:00 UTC 2010 年 11 月 9 日 (火) 10 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 16, 2011 21:13:36 UTC 2011 年 1 月 17 日 (月) 6 時 13 分 36 秒 (日本時間)
403e6110Ignacio SantosJanuary 16, 2011 21:13:36 UTC 2011 年 1 月 17 日 (月) 6 時 13 分 36 秒 (日本時間)
4511e6722 / 443732Ignacio SantosJanuary 16, 2011 21:13:36 UTC 2011 年 1 月 17 日 (月) 6 時 13 分 36 秒 (日本時間)
690Ignacio SantosOctober 24, 2013 20:28:46 UTC 2013 年 10 月 25 日 (金) 5 時 28 分 46 秒 (日本時間)

79×10183+119

c169

name 名前Jo Yeong Uk
date 日付August 3, 2014 12:39:36 UTC 2014 年 8 月 3 日 (日) 21 時 39 分 36 秒 (日本時間)
composite number 合成数
1204809967904009423112072937719945222422186791839331454746375420100376539818634358096657327026797313690658738079445340270890138101227677191677662194683252788971102866493<169>
prime factors 素因数
2406834926955966117421450358615298271611302457551806123325341<61>
500578562497340658192309841527529763461160670046979190181290525737359916779605457989504465519565988134032673<108>
factorization results 素因数分解の結果
Number: 87779_183
N=1204809967904009423112072937719945222422186791839331454746375420100376539818634358096657327026797313690658738079445340270890138101227677191677662194683252788971102866493
  ( 169 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=2406834926955966117421450358615298271611302457551806123325341
 r2=500578562497340658192309841527529763461160670046979190181290525737359916779605457989504465519565988134032673
Version: 
Total time: 98.88 hours.
Scaled time: 518.35 units (timescale=5.242).
Factorization parameters were as follows:
n: 1204809967904009423112072937719945222422186791839331454746375420100376539818634358096657327026797313690658738079445340270890138101227677191677662194683252788971102866493
m: 2000000000000000000000000000000000000
deg: 5
c5: 9875
c0: 44
skew: 0.34
# Murphy_E = 4.664e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4000000, 8500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 21134238
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1737608 x 1737855
Total sieving time: 91.75 hours.
Total relation processing time: 2.52 hours.
Matrix solve time: 3.98 hours.
Time per square root: 0.64 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,54,54,2.5,2.5,100000
total time: 98.88 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.. 6800.41 BogoMIPS (lpj=3400205)
Total of 12 processors activated (81604.92 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 9, 2010 01:00:00 UTC 2010 年 11 月 9 日 (火) 10 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 16, 2011 00:41:18 UTC 2011 年 1 月 16 日 (日) 9 時 41 分 18 秒 (日本時間)
403e6110Ignacio SantosJanuary 16, 2011 00:41:18 UTC 2011 年 1 月 16 日 (日) 9 時 41 分 18 秒 (日本時間)
4511e6632 / 443732Ignacio SantosJanuary 16, 2011 00:41:18 UTC 2011 年 1 月 16 日 (日) 9 時 41 分 18 秒 (日本時間)
600Rich DickersonNovember 17, 2013 16:01:17 UTC 2013 年 11 月 18 日 (月) 1 時 1 分 17 秒 (日本時間)

79×10185+119

c184

name 名前Robert Backstrom
date 日付November 12, 2010 08:48:41 UTC 2010 年 11 月 12 日 (金) 17 時 48 分 41 秒 (日本時間)
composite number 合成数
4644326866549088771310993533215755437977660199882422104644326866549088771310993533215755437977660199882422104644326866549088771310993533215755437977660199882422104644326866549088771311<184>
prime factors 素因数
9085938086906006311587864130630268713<37>
511155460462817278538197617390017373606335365290530075315392183122871361229022536012023134071311670937390847795844919423612856705840662959298178647<147>
factorization results 素因数分解の結果
Number: n
N=4644326866549088771310993533215755437977660199882422104644326866549088771310993533215755437977660199882422104644326866549088771310993533215755437977660199882422104644326866549088771311
  ( 184 digits)
SNFS difficulty: 186 digits.
Divisors found:

Fri Nov 12 19:35:55 2010  prp37 factor: 9085938086906006311587864130630268713
Fri Nov 12 19:35:55 2010  prp147 factor: 511155460462817278538197617390017373606335365290530075315392183122871361229022536012023134071311670937390847795844919423612856705840662959298178647
Fri Nov 12 19:35:55 2010  elapsed time 02:23:19 (Msieve 1.44 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.072).
Factorization parameters were as follows:
name: KA_8_7_184_9
n: 4644326866549088771310993533215755437977660199882422104644326866549088771310993533215755437977660199882422104644326866549088771310993533215755437977660199882422104644326866549088771311
m: 10000000000000000000000000000000000000
deg: 5
c5: 79
c0: 11
skew: 0.67
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 12050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5557957 hash collisions in 45848070 relations
Msieve: matrix is 1081304 x 1081533 (298.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.88 BogoMIPS (lpj=2830444)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830451)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830462)
Total of 4 processors activated (22643.63 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 9, 2010 01:00:00 UTC 2010 年 11 月 9 日 (火) 10 時 0 分 0 秒 (日本時間)

79×10188+119

c177

name 名前Robert Backstrom
date 日付February 23, 2012 13:06:41 UTC 2012 年 2 月 23 日 (木) 22 時 6 分 41 秒 (日本時間)
composite number 合成数
128076143787162937937823239145812634821981126249912592031954785617124972147687366622702122819054144638769963550502905340598899150059473452331678597651198963941148118864056514747<177>
prime factors 素因数
4101804522636872992048219536639245301377<40>
174274159035692105788570304131129467571137289639122073874533<60>
179167934781313335981821426902770178283771151190502136578268189164634585876767<78>
factorization results 素因数分解の結果
Number: n
N=128076143787162937937823239145812634821981126249912592031954785617124972147687366622702122819054144638769963550502905340598899150059473452331678597651198963941148118864056514747
  ( 177 digits)
SNFS difficulty: 189 digits.
Divisors found:

Fri Feb 24 00:02:46 2012  prp40 factor: 4101804522636872992048219536639245301377
Fri Feb 24 00:02:46 2012  prp60 factor: 174274159035692105788570304131129467571137289639122073874533
Fri Feb 24 00:02:46 2012  prp78 factor: 179167934781313335981821426902770178283771151190502136578268189164634585876767
Fri Feb 24 00:02:46 2012  elapsed time 04:26:05 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.655).
Factorization parameters were as follows:
name: KA_87779_188
n: 128076143787162937937823239145812634821981126249912592031954785617124972147687366622702122819054144638769963550502905340598899150059473452331678597651198963941148118864056514747
m: 10000000000000000000000000000000000000
#  c177, diff: 189.9
skew: 0.17
deg: 5
c5: 79000
c0: 11
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8618165 hash collisions in 78625939 relations (72376566 unique)
Msieve: matrix is 1469322 x 1469555 (411.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.76 BogoMIPS (lpj=2797881)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797552)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44761.52 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 9, 2010 01:00:00 UTC 2010 年 11 月 9 日 (火) 10 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 16, 2011 00:41:43 UTC 2011 年 1 月 16 日 (日) 9 時 41 分 43 秒 (日本時間)
403e6110 / 2126Ignacio SantosJanuary 16, 2011 00:41:43 UTC 2011 年 1 月 16 日 (日) 9 時 41 分 43 秒 (日本時間)
4511e632 / 4437Ignacio SantosJanuary 16, 2011 00:41:43 UTC 2011 年 1 月 16 日 (日) 9 時 41 分 43 秒 (日本時間)

79×10189+119

c147

name 名前Sinkiti Sibata
date 日付November 25, 2010 22:56:57 UTC 2010 年 11 月 26 日 (金) 7 時 56 分 57 秒 (日本時間)
composite number 合成数
637163637406300604608644702057267388013473972981273667280340199334890220292479070779136674617748165643167705739847110197020223465425038934781301939<147>
prime factors 素因数
487223523101768407723296912428713487754193871<45>
1307743996738871699244351425042700944017301582437942874816682128281701282068888353279740568264099270109<103>
factorization results 素因数分解の結果
Number: 87779_189
N=637163637406300604608644702057267388013473972981273667280340199334890220292479070779136674617748165643167705739847110197020223465425038934781301939
  ( 147 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=487223523101768407723296912428713487754193871 (pp45)
 r2=1307743996738871699244351425042700944017301582437942874816682128281701282068888353279740568264099270109 (pp103)
Version: Msieve v. 1.42
Total time: 22.92 hours.
Scaled time: 19.50 units (timescale=0.851).
Factorization parameters were as follows:
name: 87779_189
n: 637163637406300604608644702057267388013473972981273667280340199334890220292479070779136674617748165643167705739847110197020223465425038934781301939
m: 10000000000000000000000000000000000000
deg: 5
c5: 790000
c0: 11
skew: 0.11
type: snfs
lss: 1
rlim: 10600000
alim: 10600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10600000/10600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5300000, 10800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2157216 x 2157443
Total sieving time: 0.00 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 22.25 hours.
Time per square root: 0.44 hours.
Prototype def-par.txt line would be:
snfs,190.000,5,0,0,0,0,0,0,0,0,10600000,10600000,28,28,54,54,2.5,2.5,100000
total time: 22.92 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.05 BogoMIPS (lpj=2913529)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.59 BogoMIPS).

Total time: 10 days.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 9, 2010 01:00:00 UTC 2010 年 11 月 9 日 (火) 10 時 0 分 0 秒 (日本時間)

79×10192+119

c176

composite cofactor 合成数の残り
23036979215090304652364720725049054077341271353240309022830139638318576540439158368348416061142908614197724186775171807104546820075837479785789394010851854306553095194420680787<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 9, 2010 01:00:00 UTC 2010 年 11 月 9 日 (火) 10 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 16, 2011 00:42:15 UTC 2011 年 1 月 16 日 (日) 9 時 42 分 15 秒 (日本時間)
403e61910110Ignacio SantosJanuary 16, 2011 00:42:15 UTC 2011 年 1 月 16 日 (日) 9 時 42 分 15 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:23 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 23 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 06:00:33 UTC 2014 年 2 月 10 日 (月) 15 時 0 分 33 秒 (日本時間)
4511e61032 / 403932Ignacio SantosJanuary 16, 2011 00:42:15 UTC 2011 年 1 月 16 日 (日) 9 時 42 分 15 秒 (日本時間)
1000Dmitry DomanovFebruary 18, 2014 06:16:55 UTC 2014 年 2 月 18 日 (火) 15 時 16 分 55 秒 (日本時間)

79×10193+119

c183

name 名前matsui
date 日付May 3, 2011 05:34:32 UTC 2011 年 5 月 3 日 (火) 14 時 34 分 32 秒 (日本時間)
composite number 合成数
479728316522909625458859079731398602333537277376635107007159128305273907407513482726411531200786795431942943771737354682604421196309899472662278633946018922928562783462605515015820653<183>
prime factors 素因数
285412123002282105155566557367016745972551939226684841819398670673587<69>
1680826698868267071415736219560939053766679460318654121710822848819091080069636085385650909676743808535198285767519<115>
factorization results 素因数分解の結果
N=479728316522909625458859079731398602333537277376635107007159128305273907407513482726411531200786795431942943771737354682604421196309899472662278633946018922928562783462605515015820653
  ( 183 digits)
SNFS difficulty: 194 digits.
Divisors found:
 r1=285412123002282105155566557367016745972551939226684841819398670673587 (pp69)
 r2=1680826698868267071415736219560939053766679460318654121710822848819091080069636085385650909676743808535198285767519 (pp115)
Version: Msieve v. 1.49
Total time:
Scaled time: 27.11 units (timescale=0.453).
Factorization parameters were as follows:
n: 479728316522909625458859079731398602333537277376635107007159128305273907407513482726411531200786795431942943771737354682604421196309899472662278633946018922928562783462605515015820653
m: 100000000000000000000000000000000000000
deg: 5
c5: 79000
c0: 11
skew: 0.17
type: snfs
lss: 1
rlim: 12400000
alim: 12400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 12400000/12400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6200000, 31480001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3000958 x 3001171
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,194.000,5,0,0,0,0,0,0,0,0,12400000,12400000,28,28,55,55,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 9, 2010 01:00:00 UTC 2010 年 11 月 9 日 (火) 10 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 16, 2011 00:42:44 UTC 2011 年 1 月 16 日 (日) 9 時 42 分 44 秒 (日本時間)
403e6110 / 2126Ignacio SantosJanuary 16, 2011 00:42:44 UTC 2011 年 1 月 16 日 (日) 9 時 42 分 44 秒 (日本時間)
4511e632 / 4437Ignacio SantosJanuary 16, 2011 00:42:44 UTC 2011 年 1 月 16 日 (日) 9 時 42 分 44 秒 (日本時間)

79×10194+119

c194

name 名前Robert Backstrom
date 日付November 11, 2010 19:54:41 UTC 2010 年 11 月 12 日 (金) 4 時 54 分 41 秒 (日本時間)
composite number 合成数
97530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197531<194>
prime factors 素因数
1904054647942141427843000211868936807259904623387257036022849<61>
51222723204368101636612702626147537107589209420026675587363009159316623703351936478194997816561221666740420045099407784083951235046619<134>
factorization results 素因数分解の結果
Number: n
N=97530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197531
  ( 194 digits)
SNFS difficulty: 195 digits.
Divisors found:

Fri Nov 12 03:35:09 2010  prp61 factor: 1904054647942141427843000211868936807259904623387257036022849
Fri Nov 12 03:35:09 2010  prp134 factor: 51222723204368101636612702626147537107589209420026675587363009159316623703351936478194997816561221666740420045099407784083951235046619
Fri Nov 12 03:35:09 2010  elapsed time 05:44:12 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.088).
Factorization parameters were as follows:
name: KA_8_7_193_9
n: 97530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197531
m: 100000000000000000000000000000000000000
deg: 5
c5: 790000
c0: 11
skew: 0.11
type: snfs
lss: 1
rlim: 12900000
alim: 12900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 17350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3415300 hash collisions in 27097431 relations
Msieve: matrix is 2021945 x 2022172 (577.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12900000,12900000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.88 BogoMIPS (lpj=2830444)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830451)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830462)
Total of 4 processors activated (22643.63 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 9, 2010 01:00:00 UTC 2010 年 11 月 9 日 (火) 10 時 0 分 0 秒 (日本時間)

79×10195+119

c196

name 名前Sinkiti Sibata
date 日付December 30, 2010 22:46:54 UTC 2010 年 12 月 31 日 (金) 7 時 46 分 54 秒 (日本時間)
composite number 合成数
8777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<196>
prime factors 素因数
4763556185285440637306954750743182837876871748087239309<55>
1842694288962563783757369020309887205531818003777030617105528015395300745387129693926244876729246657111421955845152921791065834607848942168831<142>
factorization results 素因数分解の結果
Number: 87779_195
N=8777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
  ( 196 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=4763556185285440637306954750743182837876871748087239309 (pp55)
 r2=1842694288962563783757369020309887205531818003777030617105528015395300745387129693926244876729246657111421955845152921791065834607848942168831 (pp142)
Version: Msieve-1.40
Total time: 533.80 hours.
Scaled time: 792.70 units (timescale=1.485).
Factorization parameters were as follows:
name: 87779_195
n: 8777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
m: 1000000000000000000000000000000000000000
deg: 5
c5: 79
c0: 11
skew: 0.67
type: snfs
lss: 1
rlim: 13400000
alim: 13400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13400000/13400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6700000, 14400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2548658 x 2548883
Total sieving time: 519.19 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 13.48 hours.
Time per square root: 0.94 hours.
Prototype def-par.txt line would be:
snfs,196.000,5,0,0,0,0,0,0,0,0,13400000,13400000,28,28,55,55,2.5,2.5,100000
total time: 533.80 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 860 2.80GHz,Windows7 64bit,and Cygwin

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 9, 2010 01:00:00 UTC 2010 年 11 月 9 日 (火) 10 時 0 分 0 秒 (日本時間)

79×10198+119

c193

name 名前Ignacio Santos
date 日付November 9, 2010 17:48:46 UTC 2010 年 11 月 10 日 (水) 2 時 48 分 46 秒 (日本時間)
composite number 合成数
1935862996574282138505214320495057508976094370919632696706408463710643078249567193718845011206318813650225774310279581989838287562058192874833249294825146605477713034187610070045649364780864107<193>
prime factors 素因数
500982875752364276369629883490221<33>
composite cofactor 合成数の残り
3864130073641835984616339945167081490821181051368298044848997112715041694401515149028830427327833215930765317688131340733786778986518993084968619042341841493367<160>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1832343786
Step 1 took 114177ms
Step 2 took 52385ms
********** Factor found in step 2: 500982875752364276369629883490221
Found probable prime factor of 33 digits: 500982875752364276369629883490221
Composite cofactor 3864130073641835984616339945167081490821181051368298044848997112715041694401515149028830427327833215930765317688131340733786778986518993084968619042341841493367 has 160 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 9, 2010 01:00:00 UTC 2010 年 11 月 9 日 (火) 10 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 16, 2011 11:11:58 UTC 2011 年 1 月 16 日 (日) 20 時 11 分 58 秒 (日本時間)
403e61910110Ignacio SantosJanuary 16, 2011 11:11:58 UTC 2011 年 1 月 16 日 (日) 20 時 11 分 58 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:24 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 24 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 06:00:54 UTC 2014 年 2 月 10 日 (月) 15 時 0 分 54 秒 (日本時間)
4511e61032 / 403932Ignacio SantosJanuary 16, 2011 11:11:58 UTC 2011 年 1 月 16 日 (日) 20 時 11 分 58 秒 (日本時間)
1000Dmitry DomanovMarch 20, 2014 09:25:33 UTC 2014 年 3 月 20 日 (木) 18 時 25 分 33 秒 (日本時間)

79×10200+119

c134

name 名前Erik Branger
date 日付November 13, 2011 09:13:45 UTC 2011 年 11 月 13 日 (日) 18 時 13 分 45 秒 (日本時間)
composite number 合成数
12874449087491390139812245893980283698534285882683642335494188550716417361254509205679816062384089903392582285174122797223235002739833<134>
prime factors 素因数
56430985313830547777147764869739372792473312451<47>
228145034432634996734190740106591700202768900067064105519776855952989840693044224126483<87>
factorization results 素因数分解の結果
Number: 87779_200
N = 12874449087491390139812245893980283698534285882683642335494188550716417361254509205679816062384089903392582285174122797223235002739833 (134 digits)
Divisors found:
r1=56430985313830547777147764869739372792473312451 (pp47)
r2=228145034432634996734190740106591700202768900067064105519776855952989840693044224126483 (pp87)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 192.78 hours.
Factorization parameters were as follows:
 Murphy_E = 5.11e-11, selected by Erik Branger
n: 12874449087491390139812245893980283698534285882683642335494188550716417361254509205679816062384089903392582285174122797223235002739833
Y0: -74740746136803858915321155
Y1: 335387253376997
c0: 483969145235131028082031393327104
c1: 2085769401613272793183254676
c2: -5770916407677545227326
c3: -33572227671087114
c4: 6885731005
c5: 5520
skew: 898990.82
type: gnfs
# selected mechanically
rlim: 11900000
alim: 11900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 11900000/11900000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [5950000, 14350000)
Relations: 21154517
Relations in full relation-set: 2749546 relations
Pruned matrix : 1700410 x 1700641
Polynomial selection time: 0.00 hours.
Total sieving time: 189.46 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 3.08 hours.
time per square root: 0.13 hours.
Prototype def-par.txt line would be: gnfs,133,5,65,2000,1e-05,0.28,250,20,50000,3600,11900000,11900000,28,28,54,54,2.6,2.6,100000
total time: 192.78 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2010 01:00:00 UTC 2010 年 11 月 9 日 (火) 10 時 0 分 0 秒 (日本時間)
403e61260500Erik BrangerNovember 9, 2010 20:19:38 UTC 2010 年 11 月 10 日 (水) 5 時 19 分 38 秒 (日本時間)
760Ignacio SantosNovember 11, 2010 15:27:24 UTC 2010 年 11 月 12 日 (金) 0 時 27 分 24 秒 (日本時間)
4511e64217217Ignacio SantosNovember 11, 2010 15:27:24 UTC 2010 年 11 月 12 日 (金) 0 時 27 分 24 秒 (日本時間)
4000Wataru SakaiDecember 22, 2010 06:42:45 UTC 2010 年 12 月 22 日 (水) 15 時 42 分 45 秒 (日本時間)
5043e660 / 6559Ignacio SantosNovember 11, 2010 15:27:24 UTC 2010 年 11 月 12 日 (金) 0 時 27 分 24 秒 (日本時間)

79×10201+119

c172

name 名前Serge Batalov
date 日付November 26, 2013 23:31:44 UTC 2013 年 11 月 27 日 (水) 8 時 31 分 44 秒 (日本時間)
composite number 合成数
9180502496512232441247292419438488751477403863634861802390805554358400170666035121298572860068540037865713151039424355858664671447205278638220740349870146791348004273770559<172>
prime factors 素因数
4109429411731790548360082953051<31>
composite cofactor 合成数の残り
2234009050089364275842773081070218926495304156990236033373427975914496789603675267872391476077116502424907326612475340379944812229420493488109<142>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3906181765
Step 1 took 3890ms
********** Factor found in step 1: 4109429411731790548360082953051
Found probable prime factor of 31 digits: 4109429411731790548360082953051
Composite cofactor 

c142

name 名前Eric Jeancolas
date 日付March 27, 2020 09:19:59 UTC 2020 年 3 月 27 日 (金) 18 時 19 分 59 秒 (日本時間)
composite number 合成数
2234009050089364275842773081070218926495304156990236033373427975914496789603675267872391476077116502424907326612475340379944812229420493488109<142>
prime factors 素因数
32512047798680755710287583283514820349563233<44>
2454653561035618063487420877034566003207802525217<49>
27993061416955596463377700213956122001895882191469<50>
factorization results 素因数分解の結果
2234009050089364275842773081070218926495304156990236033373427975914496789603675267872391476077116502424907326612475340379944812229420493488109=32512047798680755710287583283514820349563233*2454653561035618063487420877034566003207802525217*27993061416955596463377700213956122001895882191469

Info:Square Root: Factors: 2454653561035618063487420877034566003207802525217 27993061416955596463377700213956122001895882191469 32512047798680755710287583283514820349563233
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): 66426/43.260/50.900/55.860/0.944
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66426/41.320/45.769/51.870/1.422
Info:Polynomial Selection (size optimized): Total time: 59574.4
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 12822.3
Info:Polynomial Selection (root optimized): Rootsieve time: 12819.1
Info:Generate Factor Base: Total cpu/real time for makefb: 19.98/2.76903
Info:Generate Free Relations: Total cpu/real time for freerel: 1216.83/123.236
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 34672701
Info:Lattice Sieving: Average J: 3827.64 for 1196595 special-q, max bucket fill -bkmult 1.0,1s:1.135670
Info:Lattice Sieving: Total time: 1.6074e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 231.12/553.871
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 550.9000000000001s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1834.03/1772.25
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1545.7s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1447.33/1753.72
Info:Filtering - Merging: Total cpu/real time for merge: 2779.84/2656.43
Info:Filtering - Merging: Total cpu/real time for replay: 262.4/249.922
Info:Linear Algebra: Total cpu/real time for bwc: 259614/72242.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 45049.21, iteration CPU time 0.54, COMM 0.03, cpu-wait 0.11, comm-wait 0.0 (67000 iterations)
Info:Linear Algebra: Lingen CPU time 6020.72, WCT time 1982.89
Info:Linear Algebra: Mksol: WCT time 24274.2, iteration CPU time 0.58, COMM 0.03, cpu-wait 0.11, comm-wait 0.0 (34000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 233.61/106.097
Info:Square Root: Total cpu/real time for sqrt: 11790/2256.63
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.88653e+06/354521
Info:root: Cleaning up computation data in /tmp/cado.kzgdkb_v
2454653561035618063487420877034566003207802525217 27993061416955596463377700213956122001895882191469 32512047798680755710287583283514820349563233
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 KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypDecember 31, 2013 21:49:54 UTC 2014 年 1 月 1 日 (水) 6 時 49 分 54 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:25 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 25 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 06:01:10 UTC 2014 年 2 月 10 日 (月) 15 時 1 分 10 秒 (日本時間)
4511e61000 / 4013Dmitry DomanovFebruary 18, 2014 10:28:33 UTC 2014 年 2 月 18 日 (火) 19 時 28 分 33 秒 (日本時間)

79×10203+119

c189

name 名前Serge Batalov
date 日付January 6, 2014 20:41:07 UTC 2014 年 1 月 7 日 (火) 5 時 41 分 7 秒 (日本時間)
composite number 合成数
393202264504966016212344012403145406230589609959627031031053081299129937978936222603459929690627809343961393577310038305243896876405946289722911173396338270246974646222193648709604771209273<189>
prime factors 素因数
94901144030985543799131703511515129<35>
4143282660286836477649240118182710951354507462564764111684990325240500430555675994589436035090071665523984795445875614587265905956261516304293347469865537<154>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2408135258
Step 1 took 4990ms
Step 2 took 3672ms
********** Factor found in step 2: 94901144030985543799131703511515129
Found probable prime factor of 35 digits: 94901144030985543799131703511515129
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:10 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 10 秒 (日本時間)

79×10204+119

c202

name 名前Serge Batalov
date 日付November 20, 2014 17:35:47 UTC 2014 年 11 月 21 日 (金) 2 時 35 分 47 秒 (日本時間)
composite number 合成数
1065652273616338202959545681410437996573725601284178436054118948376566441395869585744540218256377052055090175765178800264389678011142136430469561463855502947405339052783510717224447951654458877962580767<202>
prime factors 素因数
98884387302675961596192334258181656739556376803321097988775100331929837489<74>
10776749522191760954627226994238381275615493280948479359264508898824119865756983932455301639773711283218803009457599612789834703<128>
factorization results 素因数分解の結果
matrix is 2060402 x 2060627 (845.3 MB) with weight 219034476 (106.30/col)
RelProcTime: 2074
BLanczosTime: 8773
sqrtTime: 1358
prp74 factor: 98884387302675961596192334258181656739556376803321097988775100331929837489
prp128 factor: 10776749522191760954627226994238381275615493280948479359264508898824119865756983932455301639773711283218803009457599612789834703
execution environment 実行環境
Msieve v. 1.52 (SVN 923M)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:31:52 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 52 秒 (日本時間)
4511e6326060Serge BatalovDecember 4, 2013 17:31:52 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 52 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:17 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 17 秒 (日本時間)
1800Serge BatalovMay 24, 2014 03:25:57 UTC 2014 年 5 月 24 日 (土) 12 時 25 分 57 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:18 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 18 秒 (日本時間)
5043e6500 / 6813Serge BatalovJanuary 4, 2014 23:01:13 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 13 秒 (日本時間)

79×10207+119

c185

name 名前Cyp
date 日付January 2, 2014 06:01:13 UTC 2014 年 1 月 2 日 (木) 15 時 1 分 13 秒 (日本時間)
composite number 合成数
87803714724608732790422089031959422878338949474000580616500804385574630898738706215498376878593662576379520283041402714051799790656804792449049879823739014091422879599041846340732710709<185>
prime factors 素因数
28241968141582846129766353017241457<35>
3108980021662459668634579529721759669203661204795730415525893004758695204756538348916959396837977449485952958821854350042854292447195123182013801042437<151>
factorization results 素因数分解の結果
Run 211 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1412268677
Step 1 took 16114ms
Step 2 took 5707ms
********** Factor found in step 2: 28241968141582846129766353017241457
Found probable prime factor of 35 digits: 28241968141582846129766353017241457
Probable prime cofactor 3108980021662459668634579529721759669203661204795730415525893004758695204756538348916959396837977449485952958821854350042854292447195123182013801042437 has 151 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 312Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6211 / 2318CypJanuary 2, 2014 06:01:12 UTC 2014 年 1 月 2 日 (木) 15 時 1 分 12 秒 (日本時間)

79×10208+119

c159

name 名前Serge Batalov
date 日付November 26, 2013 23:24:01 UTC 2013 年 11 月 27 日 (水) 8 時 24 分 1 秒 (日本時間)
composite number 合成数
675385104700496840832466890954383495353212247867592454539690694976822959356772990855549702092866247550987784283209761219555612735277054502126477581086041540321<159>
prime factors 素因数
308598536854699659513985112992679<33>
composite cofactor 合成数の残り
2188555757859910844691205676141002647794124521110063824277659018331006017901100676555823324691854009526949077833702174071826999<127>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=119961368
Step 1 took 3642ms
Step 2 took 1983ms
********** Factor found in step 2: 308598536854699659513985112992679
Found probable prime factor of 33 digits: 308598536854699659513985112992679
Composite cofactor 

c127

name 名前anonymous
date 日付December 24, 2013 14:48:20 UTC 2013 年 12 月 24 日 (火) 23 時 48 分 20 秒 (日本時間)
composite number 合成数
2188555757859910844691205676141002647794124521110063824277659018331006017901100676555823324691854009526949077833702174071826999<127>
prime factors 素因数
268502481200458248632701448967830645053<39>
8150970330236842793399797323623262244240163125419648356491671605091244825500209154609283<88>
factorization results 素因数分解の結果
nfs: commencing msieve filtering
2188555757859910844691205676141002647794124521110063824277659018331006017901100676555823324691854009526949077833702174071826999
read 10M relations
nfs: commencing msieve linear algebra
linear algebra completed 969984 of 970241 dimensions (100.0%, ETA 0h 0m)    
nfs: commencing msieve sqrt
NFS elapsed time = 46162.6682 seconds.


***factors found***

P88 = 8150970330236842793399797323623262244240163125419648356491671605091244825500209154609283
P39 = 268502481200458248632701448967830645053

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 3, 2013 22:32:08 UTC 2013 年 12 月 4 日 (水) 7 時 32 分 8 秒 (日本時間)
403e6110Ignacio SantosDecember 3, 2013 22:32:08 UTC 2013 年 12 月 4 日 (水) 7 時 32 分 8 秒 (日本時間)
4511e6632 / 443732Ignacio SantosDecember 3, 2013 22:32:08 UTC 2013 年 12 月 4 日 (水) 7 時 32 分 8 秒 (日本時間)
600Rich DickersonDecember 14, 2013 15:04:08 UTC 2013 年 12 月 15 日 (日) 0 時 4 分 8 秒 (日本時間)

79×10210+119

c195

composite cofactor 合成数の残り
257631396368696378767940858559900229557497237350352046067934816836319401613530043673216043621452252651522038455449384692613081489544008392149630413678473635831285292049269986331257712953902606929<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61022118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
904CypDecember 25, 2013 18:02:42 UTC 2013 年 12 月 26 日 (木) 3 時 2 分 42 秒 (日本時間)
403e62104304CypDecember 25, 2013 18:02:42 UTC 2013 年 12 月 26 日 (木) 3 時 2 分 42 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:26 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 26 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 06:01:31 UTC 2014 年 2 月 10 日 (月) 15 時 1 分 31 秒 (日本時間)
4511e61000 / 3968Dmitry DomanovMarch 20, 2014 09:32:56 UTC 2014 年 3 月 20 日 (木) 18 時 32 分 56 秒 (日本時間)

79×10211+119

c187

composite cofactor 合成数の残り
2166018655682264369790572227349119432337533068861962515228412280550201762147987275891059851032367804701165147106747358381752258792843975081713787609960855868693821856818317259415469027467<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 2, 2014 00:42:29 UTC 2014 年 1 月 2 日 (木) 9 時 42 分 29 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:26 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 26 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 06:01:43 UTC 2014 年 2 月 10 日 (月) 15 時 1 分 43 秒 (日本時間)
4511e61000 / 3876Dmitry DomanovMarch 20, 2014 09:33:16 UTC 2014 年 3 月 20 日 (木) 18 時 33 分 16 秒 (日本時間)
5043e639 / 7249CypJanuary 29, 2014 05:57:21 UTC 2014 年 1 月 29 日 (水) 14 時 57 分 21 秒 (日本時間)

79×10212+119

c176

name 名前Serge Batalov
date 日付November 26, 2013 23:29:54 UTC 2013 年 11 月 27 日 (水) 8 時 29 分 54 秒 (日本時間)
composite number 合成数
22837960121111458099996293584570396672620657778479603118110277026808695351416312110353216717253176079947645709986359244266378357998679740184967941804713056638924696313646646871<176>
prime factors 素因数
1820525618556930839590868269<28>
12544706807924151938540759716112248517125941544567691402855730001646847725440859455191559491229543389274867731423091994583321929288713546261067351059<149>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3375269736
Step 1 took 5008ms
Step 2 took 2648ms
********** Factor found in step 2: 1820525618556930839590868269
Found probable prime factor of 28 digits: 1820525618556930839590868269
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)

79×10213+119

c161

composite cofactor 合成数の残り
66575447126547090756825913810219551506027789193251244354278332816098681708385657987602569310092783218636797878381836749130684172599957670274406262070228648742337<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 2, 2014 01:54:49 UTC 2014 年 1 月 2 日 (木) 10 時 54 分 49 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:27 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 27 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 06:01:56 UTC 2014 年 2 月 10 日 (月) 15 時 1 分 56 秒 (日本時間)
4511e61000 / 3876Dmitry DomanovMarch 20, 2014 09:33:37 UTC 2014 年 3 月 20 日 (木) 18 時 33 分 37 秒 (日本時間)
5043e639 / 7249CypFebruary 1, 2014 23:04:30 UTC 2014 年 2 月 2 日 (日) 8 時 4 分 30 秒 (日本時間)

79×10215+119

c171

composite cofactor 合成数の残り
319226316433445187538730962189475858184396574713368358647885881025547430376601065669101193944882268059641122812774121774333609225870092665229200231653236108361118526213289<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:10 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 10 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:09:28 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 28 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 06:02:09 UTC 2014 年 2 月 10 日 (月) 15 時 2 分 9 秒 (日本時間)
4511e61500 / 4040Dmitry DomanovFebruary 18, 2014 12:44:14 UTC 2014 年 2 月 18 日 (火) 21 時 44 分 14 秒 (日本時間)

79×10216+119

c208

name 名前Bob Backstrom
date 日付December 7, 2019 07:47:30 UTC 2019 年 12 月 7 日 (土) 16 時 47 分 30 秒 (日本時間)
composite number 合成数
1280245905267034872879270293926784190939892792748837347585993495686726348449775456587327888587806701593537812345997594426727462490267947206821059665015566112194600803862744682672344826788803135964898961154707<208>
prime factors 素因数
19331990006887984907430019152979889034530924180161<50>
28313659943885878248102766776218686926273140014683897917588590929775769<71>
2338949374211152270515960097679416358699185681772172737490921813101466668217908133566923<88>
factorization results 素因数分解の結果
Number: n
N=1280245905267034872879270293926784190939892792748837347585993495686726348449775456587327888587806701593537812345997594426727462490267947206821059665015566112194600803862744682672344826788803135964898961154707
  ( 208 digits)
SNFS difficulty: 217 digits.
Divisors found:

Sat Dec  7 18:34:10 2019  found factor: 28313659943885878248102766776218686926273140014683897917588590929775769
Sat Dec  7 18:41:43 2019  p50 factor: 19331990006887984907430019152979889034530924180161
Sat Dec  7 18:41:43 2019  p71 factor: 28313659943885878248102766776218686926273140014683897917588590929775769
Sat Dec  7 18:41:43 2019  p88 factor: 2338949374211152270515960097679416358699185681772172737490921813101466668217908133566923
Sat Dec  7 18:41:43 2019  elapsed time 06:52:27 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.128).
Factorization parameters were as follows:
#
# N = 79x10^216+11 = 87(215)9
#
n: 1280245905267034872879270293926784190939892792748837347585993495686726348449775456587327888587806701593537812345997594426727462490267947206821059665015566112194600803862744682672344826788803135964898961154707
m: 1000000000000000000000000000000000000
deg: 6
c6: 79
c0: 11
skew: 0.72
# Murphy_E = 2.713e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 30000000/30000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 69400000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9862038 hash collisions in 60620878 relations (53146269 unique)
Msieve: matrix is 3938720 x 3938945 (1378.5 MB)

Sieving start time: 2019/12/05 20:49:14
Sieving end time  : 2019/12/07 11:47:26

Total sieving time: 38hrs 58min 12secs.

Total relation processing time: 6hrs 18min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 15min 5sec.

Prototype def-par.txt line would be:
snfs,217,6,0,0,0,0,0,0,0,0,30000000,30000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149711] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283564K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2432K init, 2388K bss, 419896K reserved, 0K cma-reserved)
[    0.184572] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.54 BogoMIPS (lpj=11977084)
[    0.182221] smpboot: Total of 16 processors activated (95816.67 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 1, 2014 10:47:53 UTC 2014 年 1 月 1 日 (水) 19 時 47 分 53 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:28 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 28 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 06:02:23 UTC 2014 年 2 月 10 日 (月) 15 時 2 分 23 秒 (日本時間)
4511e61000 / 3876Dmitry DomanovMarch 20, 2014 09:34:00 UTC 2014 年 3 月 20 日 (木) 18 時 34 分 0 秒 (日本時間)
5043e639 / 7249CypJanuary 11, 2014 02:39:35 UTC 2014 年 1 月 11 日 (土) 11 時 39 分 35 秒 (日本時間)

79×10217+119

c169

composite cofactor 合成数の残り
4772408231959589091215581510741086403936948090729780879925280101031918490757591580908515448215031856457285814721360453712697500427899453639486313585105607139723603696723<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 1, 2014 10:08:19 UTC 2014 年 1 月 1 日 (水) 19 時 8 分 19 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:29 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 29 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 06:02:49 UTC 2014 年 2 月 10 日 (月) 15 時 2 分 49 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovFebruary 18, 2014 12:44:28 UTC 2014 年 2 月 18 日 (火) 21 時 44 分 28 秒 (日本時間)

79×10218+119

c181

composite cofactor 合成数の残り
3481558751990111712181250204692306975035022918127991606710182190246562504306631423581639985894120105592946758012822742501853602757575759077294544327511505152711733850059826345295493<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 2, 2014 05:21:47 UTC 2014 年 1 月 2 日 (木) 14 時 21 分 47 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:30 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 30 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 06:03:01 UTC 2014 年 2 月 10 日 (月) 15 時 3 分 1 秒 (日本時間)
4511e61067 / 401367CypFebruary 17, 2014 21:42:05 UTC 2014 年 2 月 18 日 (火) 6 時 42 分 5 秒 (日本時間)
1000Dmitry DomanovMarch 20, 2014 09:34:20 UTC 2014 年 3 月 20 日 (木) 18 時 34 分 20 秒 (日本時間)

79×10220+119

c221

name 名前Markus Tervooren
date 日付February 26, 2015 20:16:20 UTC 2015 年 2 月 27 日 (金) 5 時 16 分 20 秒 (日本時間)
composite number 合成数
87777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<221>
prime factors 素因数
38551267879912509976031392024930189681185145222032416587215662621817984975650213026288504844801779<98>
2276910270531340685750772626551289564349894939852655535713208074544466597572662209669144850452283118386005227731415099344001<124>
factorization results 素因数分解の結果
Wed Feb 25 14:36:12 2015  Msieve v. 1.52 (SVN unknown)
Wed Feb 25 14:36:12 2015  random seeds: 37c95b2b e3ded8f5
Wed Feb 25 14:36:12 2015  factoring 87777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779 (221 digits)
Wed Feb 25 14:36:13 2015  searching for 15-digit factors
Wed Feb 25 14:36:14 2015  commencing number field sieve (221-digit input)
Wed Feb 25 14:36:14 2015  R0: 5000000000000000000000000000000000000
Wed Feb 25 14:36:14 2015  R1: -1
Wed Feb 25 14:36:14 2015  A0: 275
Wed Feb 25 14:36:14 2015  A1: 0
Wed Feb 25 14:36:14 2015  A2: 0
Wed Feb 25 14:36:14 2015  A3: 0
Wed Feb 25 14:36:14 2015  A4: 0
Wed Feb 25 14:36:14 2015  A5: 0
Wed Feb 25 14:36:14 2015  A6: 1264
Wed Feb 25 14:36:14 2015  skew 1.00, size 3.578e-11, alpha -1.996, combined = 1.636e-12 rroots = 0
Wed Feb 25 14:36:14 2015  
Wed Feb 25 14:36:14 2015  commencing relation filtering
Wed Feb 25 14:36:14 2015  estimated available RAM is 32054.2 MB
Wed Feb 25 14:36:14 2015  commencing duplicate removal, pass 1
Wed Feb 25 14:36:15 2015  error -11 reading relation 87766
Wed Feb 25 14:36:15 2015  error -9 reading relation 89874
Wed Feb 25 14:36:15 2015  error -15 reading relation 177239
Wed Feb 25 14:36:15 2015  error -11 reading relation 267658
Wed Feb 25 14:36:16 2015  error -15 reading relation 357069
Wed Feb 25 14:36:16 2015  error -9 reading relation 445864
Wed Feb 25 14:36:16 2015  error -9 reading relation 533985
Wed Feb 25 14:36:19 2015  error -11 reading relation 1261694
Wed Feb 25 14:36:19 2015  error -1 reading relation 1349636
Wed Feb 25 14:36:20 2015  error -5 reading relation 1436987
Wed Feb 25 14:36:20 2015  error -9 reading relation 1523251
Wed Feb 25 14:36:20 2015  error -11 reading relation 1609825
Wed Feb 25 14:36:21 2015  error -9 reading relation 1693233
Wed Feb 25 14:36:21 2015  error -9 reading relation 1775537
Wed Feb 25 14:36:21 2015  error -11 reading relation 1857157
Wed Feb 25 14:36:22 2015  error -15 reading relation 1938897
Wed Feb 25 14:36:22 2015  error -9 reading relation 2020434
Wed Feb 25 14:36:22 2015  error -5 reading relation 2101463
Wed Feb 25 14:36:23 2015  error -9 reading relation 2182160
Wed Feb 25 14:36:23 2015  error -11 reading relation 2262392
Wed Feb 25 14:36:23 2015  error -9 reading relation 2342499
Wed Feb 25 14:36:23 2015  error -9 reading relation 2422848
Wed Feb 25 14:36:24 2015  error -15 reading relation 2502892
Wed Feb 25 14:36:24 2015  error -5 reading relation 2582209
Wed Feb 25 14:36:24 2015  error -15 reading relation 2660454
Wed Feb 25 14:36:25 2015  error -5 reading relation 2738879
Wed Feb 25 14:36:25 2015  error -9 reading relation 2817346
Wed Feb 25 14:36:25 2015  error -9 reading relation 2894438
Wed Feb 25 14:36:26 2015  error -9 reading relation 2974636
Wed Feb 25 14:36:26 2015  error -11 reading relation 3053427
Wed Feb 25 14:36:26 2015  error -5 reading relation 3132868
Wed Feb 25 14:36:27 2015  error -15 reading relation 3210940
Wed Feb 25 14:36:27 2015  error -15 reading relation 3288689
Wed Feb 25 14:36:28 2015  error -15 reading relation 3366299
Wed Feb 25 14:36:28 2015  error -5 reading relation 3443077
Wed Feb 25 14:36:28 2015  error -15 reading relation 3520121
Wed Feb 25 14:36:28 2015  error -11 reading relation 3593896
Wed Feb 25 14:36:29 2015  error -9 reading relation 3667346
Wed Feb 25 14:36:29 2015  error -11 reading relation 3740667
Wed Feb 25 14:36:29 2015  error -9 reading relation 3813711
Wed Feb 25 14:36:30 2015  error -9 reading relation 3886055
Wed Feb 25 14:36:30 2015  error -11 reading relation 4029176
Wed Feb 25 14:36:31 2015  error -15 reading relation 4099776
Wed Feb 25 14:37:08 2015  error -11 reading relation 12358836
Wed Feb 25 14:39:58 2015  error -15 reading relation 55256467
Wed Feb 25 14:40:16 2015  error -11 reading relation 59984770
Wed Feb 25 14:40:42 2015  error -11 reading relation 67032360
Wed Feb 25 14:40:44 2015  error -15 reading relation 67661482
Wed Feb 25 14:40:45 2015  error -1 reading relation 67689322
Wed Feb 25 14:40:47 2015  error -15 reading relation 68301107
Wed Feb 25 14:40:47 2015  error -11 reading relation 68327926
Wed Feb 25 14:40:47 2015  error -15 reading relation 68355699
Wed Feb 25 14:40:49 2015  error -5 reading relation 68955279
Wed Feb 25 14:40:49 2015  error -9 reading relation 68981920
Wed Feb 25 14:40:53 2015  error -5 reading relation 70051180
Wed Feb 25 14:40:54 2015  error -15 reading relation 70143004
Wed Feb 25 14:40:58 2015  error -11 reading relation 71211505
Wed Feb 25 14:41:03 2015  error -9 reading relation 72276224
Wed Feb 25 14:41:07 2015  error -5 reading relation 73338628
Wed Feb 25 14:41:12 2015  error -11 reading relation 74397071
Wed Feb 25 14:41:16 2015  error -15 reading relation 75455331
Wed Feb 25 14:41:17 2015  error -15 reading relation 75584688
Wed Feb 25 14:41:21 2015  error -9 reading relation 76640167
Wed Feb 25 14:41:25 2015  error -15 reading relation 77696433
Wed Feb 25 14:41:29 2015  error -15 reading relation 78766404
Wed Feb 25 14:41:34 2015  error -9 reading relation 79833513
Wed Feb 25 14:41:39 2015  error -11 reading relation 80896103
Wed Feb 25 14:41:39 2015  error -15 reading relation 80989121
Wed Feb 25 14:41:44 2015  error -15 reading relation 82052557
Wed Feb 25 14:41:54 2015  error -11 reading relation 84172495
Wed Feb 25 14:41:59 2015  error -15 reading relation 85231349
Wed Feb 25 14:42:03 2015  error -9 reading relation 86286453
Wed Feb 25 14:42:07 2015  error -15 reading relation 87364757
Wed Feb 25 14:42:11 2015  error -15 reading relation 88436663
Wed Feb 25 14:42:15 2015  error -15 reading relation 89506690
Wed Feb 25 14:42:19 2015  error -15 reading relation 90577588
Wed Feb 25 14:42:23 2015  error -15 reading relation 91645500
Wed Feb 25 14:42:23 2015  error -11 reading relation 91739153
Wed Feb 25 14:42:27 2015  error -9 reading relation 92805434
Wed Feb 25 14:42:31 2015  error -11 reading relation 93871943
Wed Feb 25 14:42:35 2015  error -11 reading relation 94937175
Wed Feb 25 14:42:39 2015  error -15 reading relation 95992187
Wed Feb 25 14:42:43 2015  error -11 reading relation 97045002
Wed Feb 25 14:42:47 2015  error -9 reading relation 98093300
Wed Feb 25 14:42:51 2015  error -15 reading relation 99142337
Wed Feb 25 14:42:55 2015  error -1 reading relation 100189141
Wed Feb 25 14:42:59 2015  error -15 reading relation 101234260
Wed Feb 25 14:43:03 2015  error -15 reading relation 102275514
Wed Feb 25 14:43:03 2015  error -15 reading relation 102368585
Wed Feb 25 14:43:07 2015  error -15 reading relation 103405148
Wed Feb 25 14:43:11 2015  error -15 reading relation 104387891
Wed Feb 25 14:43:16 2015  error -15 reading relation 105364349
Wed Feb 25 14:43:20 2015  error -15 reading relation 106344796
Wed Feb 25 14:43:24 2015  error -9 reading relation 107320488
Wed Feb 25 14:43:29 2015  error -15 reading relation 108297360
Wed Feb 25 14:43:33 2015  error -5 reading relation 109270178
Wed Feb 25 14:43:37 2015  error -15 reading relation 110239399
Wed Feb 25 14:43:41 2015  error -15 reading relation 111210299
Wed Feb 25 14:43:45 2015  error -15 reading relation 112232901
Wed Feb 25 14:43:45 2015  error -15 reading relation 112327176
Wed Feb 25 14:43:51 2015  error -15 reading relation 113347858
Wed Feb 25 14:43:56 2015  error -11 reading relation 114361987
Wed Feb 25 14:44:01 2015  error -9 reading relation 115378692
Wed Feb 25 14:44:11 2015  error -11 reading relation 117405292
Wed Feb 25 14:44:16 2015  error -11 reading relation 118417146
Wed Feb 25 14:44:20 2015  error -5 reading relation 119422386
Wed Feb 25 14:44:25 2015  error -5 reading relation 120367154
Wed Feb 25 14:44:29 2015  error -15 reading relation 121309598
Wed Feb 25 14:44:33 2015  error -15 reading relation 122254400
Wed Feb 25 14:44:34 2015  error -11 reading relation 122348387
Wed Feb 25 14:44:38 2015  error -5 reading relation 123290031
Wed Feb 25 14:44:43 2015  error -11 reading relation 124229306
Wed Feb 25 14:44:47 2015  error -15 reading relation 125169771
Wed Feb 25 14:44:51 2015  error -15 reading relation 126104177
Wed Feb 25 14:44:54 2015  error -5 reading relation 127038363
Wed Feb 25 14:44:58 2015  error -9 reading relation 127974125
Wed Feb 25 14:45:01 2015  error -15 reading relation 128907409
Wed Feb 25 14:45:05 2015  error -11 reading relation 129839601
Wed Feb 25 14:45:09 2015  error -9 reading relation 130773332
Wed Feb 25 14:45:12 2015  error -15 reading relation 131701341
Wed Feb 25 14:45:12 2015  error -15 reading relation 131796082
Wed Feb 25 14:45:16 2015  error -15 reading relation 132721684
Wed Feb 25 14:45:19 2015  error -15 reading relation 133645941
Wed Feb 25 14:45:23 2015  error -9 reading relation 134570053
Wed Feb 25 14:45:27 2015  error -15 reading relation 135548512
Wed Feb 25 14:45:31 2015  error -11 reading relation 136526501
Wed Feb 25 14:45:35 2015  error -1 reading relation 137501883
Wed Feb 25 14:45:40 2015  error -15 reading relation 138469703
Wed Feb 25 14:45:44 2015  error -15 reading relation 139444033
Wed Feb 25 14:45:48 2015  error -1 reading relation 140416648
Wed Feb 25 14:45:53 2015  error -15 reading relation 141383683
Wed Feb 25 14:45:53 2015  error -15 reading relation 141478901
Wed Feb 25 14:45:57 2015  error -15 reading relation 142445350
Wed Feb 25 14:45:57 2015  error -9 reading relation 142541510
Wed Feb 25 14:45:58 2015  error -15 reading relation 142636794
Wed Feb 25 14:45:58 2015  error -15 reading relation 142733021
Wed Feb 25 14:45:59 2015  error -15 reading relation 142828974
Wed Feb 25 14:45:59 2015  error -11 reading relation 142924522
Wed Feb 25 14:45:59 2015  error -15 reading relation 143020276
Wed Feb 25 14:46:00 2015  error -15 reading relation 143114818
Wed Feb 25 14:46:00 2015  error -11 reading relation 143209966
Wed Feb 25 14:46:00 2015  error -15 reading relation 143305404
Wed Feb 25 14:46:01 2015  error -6 reading relation 143400907
Wed Feb 25 14:46:01 2015  error -15 reading relation 143496050
Wed Feb 25 14:46:01 2015  error -11 reading relation 143590487
Wed Feb 25 14:46:02 2015  error -1 reading relation 143684625
Wed Feb 25 14:46:02 2015  error -15 reading relation 143778135
Wed Feb 25 14:46:03 2015  error -11 reading relation 143871769
Wed Feb 25 14:46:03 2015  error -9 reading relation 143965577
Wed Feb 25 14:46:03 2015  error -15 reading relation 144055063
Wed Feb 25 14:46:04 2015  error -15 reading relation 144145531
Wed Feb 25 14:46:04 2015  error -15 reading relation 144235124
Wed Feb 25 14:46:05 2015  error -1 reading relation 144324132
Wed Feb 25 14:46:05 2015  error -15 reading relation 144413354
Wed Feb 25 14:46:05 2015  skipped 67 relations with b > 2^32
Wed Feb 25 14:46:05 2015  found 17929974 hash collisions in 144500953 relations
Wed Feb 25 14:46:20 2015  added 1218744 free relations
Wed Feb 25 14:46:20 2015  commencing duplicate removal, pass 2
Wed Feb 25 14:47:02 2015  found 12112177 duplicates and 133607520 unique relations
Wed Feb 25 14:47:02 2015  memory use: 660.8 MB
Wed Feb 25 14:47:02 2015  reading ideals above 720000
Wed Feb 25 14:47:02 2015  commencing singleton removal, initial pass
Wed Feb 25 15:01:49 2015  memory use: 3012.0 MB
Wed Feb 25 15:01:49 2015  reading all ideals from disk
Wed Feb 25 15:02:00 2015  memory use: 4952.7 MB
Wed Feb 25 15:02:13 2015  keeping 137346554 ideals with weight <= 200, target excess is 722467
Wed Feb 25 15:02:26 2015  commencing in-memory singleton removal
Wed Feb 25 15:02:36 2015  begin with 133607519 relations and 137346554 unique ideals
Wed Feb 25 15:03:50 2015  reduce to 56842003 relations and 48671504 ideals in 16 passes
Wed Feb 25 15:03:50 2015  max relations containing the same ideal: 118
Wed Feb 25 15:04:15 2015  removing 6956695 relations and 5956695 ideals in 1000000 cliques
Wed Feb 25 15:04:17 2015  commencing in-memory singleton removal
Wed Feb 25 15:04:20 2015  begin with 49885308 relations and 48671504 unique ideals
Wed Feb 25 15:04:59 2015  reduce to 49170315 relations and 41983010 ideals in 10 passes
Wed Feb 25 15:04:59 2015  max relations containing the same ideal: 107
Wed Feb 25 15:05:21 2015  removing 5284803 relations and 4284803 ideals in 1000000 cliques
Wed Feb 25 15:05:23 2015  commencing in-memory singleton removal
Wed Feb 25 15:05:26 2015  begin with 43885512 relations and 41983010 unique ideals
Wed Feb 25 15:05:51 2015  reduce to 43422709 relations and 37225494 ideals in 9 passes
Wed Feb 25 15:05:51 2015  max relations containing the same ideal: 101
Wed Feb 25 15:06:08 2015  removing 4748860 relations and 3748860 ideals in 1000000 cliques
Wed Feb 25 15:06:09 2015  commencing in-memory singleton removal
Wed Feb 25 15:06:12 2015  begin with 38673849 relations and 37225494 unique ideals
Wed Feb 25 15:06:34 2015  reduce to 38259942 relations and 33053754 ideals in 10 passes
Wed Feb 25 15:06:34 2015  max relations containing the same ideal: 90
Wed Feb 25 15:06:49 2015  removing 4464484 relations and 3464484 ideals in 1000000 cliques
Wed Feb 25 15:06:50 2015  commencing in-memory singleton removal
Wed Feb 25 15:06:52 2015  begin with 33795458 relations and 33053754 unique ideals
Wed Feb 25 15:07:09 2015  reduce to 33389411 relations and 29173475 ideals in 8 passes
Wed Feb 25 15:07:09 2015  max relations containing the same ideal: 82
Wed Feb 25 15:07:21 2015  removing 4283261 relations and 3283261 ideals in 1000000 cliques
Wed Feb 25 15:07:23 2015  commencing in-memory singleton removal
Wed Feb 25 15:07:24 2015  begin with 29106150 relations and 29173475 unique ideals
Wed Feb 25 15:07:38 2015  reduce to 28683072 relations and 25455884 ideals in 8 passes
Wed Feb 25 15:07:38 2015  max relations containing the same ideal: 76
Wed Feb 25 15:07:51 2015  removing 4166809 relations and 3166809 ideals in 1000000 cliques
Wed Feb 25 15:07:52 2015  commencing in-memory singleton removal
Wed Feb 25 15:07:53 2015  begin with 24516263 relations and 25455884 unique ideals
Wed Feb 25 15:08:05 2015  reduce to 24059054 relations and 21817783 ideals in 9 passes
Wed Feb 25 15:08:05 2015  max relations containing the same ideal: 68
Wed Feb 25 15:08:14 2015  removing 4087517 relations and 3087517 ideals in 1000000 cliques
Wed Feb 25 15:08:15 2015  commencing in-memory singleton removal
Wed Feb 25 15:08:16 2015  begin with 19971537 relations and 21817783 unique ideals
Wed Feb 25 15:08:25 2015  reduce to 19454517 relations and 18194326 ideals in 9 passes
Wed Feb 25 15:08:25 2015  max relations containing the same ideal: 62
Wed Feb 25 15:08:32 2015  removing 2072650 relations and 1650521 ideals in 422129 cliques
Wed Feb 25 15:08:33 2015  commencing in-memory singleton removal
Wed Feb 25 15:08:34 2015  begin with 17381867 relations and 18194326 unique ideals
Wed Feb 25 15:08:42 2015  reduce to 17231500 relations and 16390658 ideals in 9 passes
Wed Feb 25 15:08:42 2015  max relations containing the same ideal: 55
Wed Feb 25 15:08:50 2015  relations with 0 large ideals: 25428
Wed Feb 25 15:08:50 2015  relations with 1 large ideals: 30620
Wed Feb 25 15:08:50 2015  relations with 2 large ideals: 264830
Wed Feb 25 15:08:50 2015  relations with 3 large ideals: 1272976
Wed Feb 25 15:08:50 2015  relations with 4 large ideals: 3254932
Wed Feb 25 15:08:50 2015  relations with 5 large ideals: 4789577
Wed Feb 25 15:08:50 2015  relations with 6 large ideals: 4206746
Wed Feb 25 15:08:50 2015  relations with 7+ large ideals: 3386391
Wed Feb 25 15:08:50 2015  commencing 2-way merge
Wed Feb 25 15:08:59 2015  reduce to 10186826 relation sets and 9345984 unique ideals
Wed Feb 25 15:08:59 2015  commencing full merge
Wed Feb 25 15:10:54 2015  memory use: 1169.9 MB
Wed Feb 25 15:10:54 2015  found 5523443 cycles, need 5406184
Wed Feb 25 15:10:56 2015  weight of 5406184 cycles is about 378554455 (70.02/cycle)
Wed Feb 25 15:10:56 2015  distribution of cycle lengths:
Wed Feb 25 15:10:56 2015  1 relations: 707458
Wed Feb 25 15:10:56 2015  2 relations: 640409
Wed Feb 25 15:10:56 2015  3 relations: 619705
Wed Feb 25 15:10:56 2015  4 relations: 574443
Wed Feb 25 15:10:56 2015  5 relations: 540809
Wed Feb 25 15:10:56 2015  6 relations: 484568
Wed Feb 25 15:10:56 2015  7 relations: 429546
Wed Feb 25 15:10:56 2015  8 relations: 366718
Wed Feb 25 15:10:56 2015  9 relations: 299277
Wed Feb 25 15:10:56 2015  10+ relations: 743251
Wed Feb 25 15:10:56 2015  heaviest cycle: 18 relations
Wed Feb 25 15:10:57 2015  commencing cycle optimization
Wed Feb 25 15:11:03 2015  start with 28992746 relations
Wed Feb 25 15:11:31 2015  pruned 627354 relations
Wed Feb 25 15:11:31 2015  memory use: 987.4 MB
Wed Feb 25 15:11:31 2015  distribution of cycle lengths:
Wed Feb 25 15:11:31 2015  1 relations: 707458
Wed Feb 25 15:11:31 2015  2 relations: 651873
Wed Feb 25 15:11:31 2015  3 relations: 638068
Wed Feb 25 15:11:31 2015  4 relations: 587339
Wed Feb 25 15:11:31 2015  5 relations: 554276
Wed Feb 25 15:11:31 2015  6 relations: 493843
Wed Feb 25 15:11:31 2015  7 relations: 436691
Wed Feb 25 15:11:31 2015  8 relations: 368097
Wed Feb 25 15:11:31 2015  9 relations: 296838
Wed Feb 25 15:11:31 2015  10+ relations: 671701
Wed Feb 25 15:11:31 2015  heaviest cycle: 18 relations
Wed Feb 25 15:11:37 2015  RelProcTime: 2123
Wed Feb 25 15:11:37 2015  
Wed Feb 25 15:11:37 2015  commencing linear algebra
Wed Feb 25 15:11:40 2015  read 5406184 cycles
Wed Feb 25 15:11:46 2015  cycles contain 16633713 unique relations
Wed Feb 25 15:13:15 2015  read 16633713 relations
Wed Feb 25 15:13:32 2015  using 20 quadratic characters above 2147477880
Wed Feb 25 15:14:28 2015  building initial matrix
Wed Feb 25 15:16:15 2015  memory use: 2104.9 MB
Wed Feb 25 15:16:17 2015  read 5406184 cycles
Wed Feb 25 15:16:18 2015  matrix is 5406006 x 5406184 (1636.9 MB) with weight 483173890 (89.37/col)
Wed Feb 25 15:16:18 2015  sparse part has weight 369637398 (68.37/col)
Wed Feb 25 15:17:05 2015  filtering completed in 2 passes
Wed Feb 25 15:17:06 2015  matrix is 5401765 x 5401942 (1636.5 MB) with weight 483040513 (89.42/col)
Wed Feb 25 15:17:06 2015  sparse part has weight 369588347 (68.42/col)
Wed Feb 25 15:17:14 2015  matrix starts at (0, 0)
Wed Feb 25 15:17:15 2015  matrix is 5401765 x 5401942 (1636.5 MB) with weight 483040513 (89.42/col)
Wed Feb 25 15:17:15 2015  sparse part has weight 369588347 (68.42/col)
Wed Feb 25 15:17:15 2015  saving the first 48 matrix rows for later
Wed Feb 25 15:17:16 2015  matrix includes 64 packed rows
Wed Feb 25 15:17:16 2015  matrix is 5401717 x 5401942 (1571.8 MB) with weight 391702946 (72.51/col)
Wed Feb 25 15:17:16 2015  sparse part has weight 358020995 (66.28/col)
Wed Feb 25 15:17:16 2015  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Wed Feb 25 15:17:27 2015  commencing Lanczos iteration (4 threads)
Wed Feb 25 15:17:27 2015  memory use: 1284.8 MB
Wed Feb 25 15:17:44 2015  linear algebra at 0.0%, ETA 15h44m
Wed Feb 25 15:17:51 2015  checkpointing every 320000 dimensions
Wed Feb 25 23:04:08 2015  
Wed Feb 25 23:04:08 2015  
Wed Feb 25 23:04:08 2015  Msieve v. 1.52 (SVN unknown)
Wed Feb 25 23:04:08 2015  random seeds: f8c7dca1 fbca6672
Wed Feb 25 23:04:08 2015  factoring 87777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779 (221 digits)
Wed Feb 25 23:04:09 2015  searching for 15-digit factors
Wed Feb 25 23:04:11 2015  commencing number field sieve (221-digit input)
Wed Feb 25 23:04:11 2015  R0: 5000000000000000000000000000000000000
Wed Feb 25 23:04:11 2015  R1: -1
Wed Feb 25 23:04:11 2015  A0: 275
Wed Feb 25 23:04:11 2015  A1: 0
Wed Feb 25 23:04:11 2015  A2: 0
Wed Feb 25 23:04:11 2015  A3: 0
Wed Feb 25 23:04:11 2015  A4: 0
Wed Feb 25 23:04:11 2015  A5: 0
Wed Feb 25 23:04:11 2015  A6: 1264
Wed Feb 25 23:04:11 2015  skew 1.00, size 3.578e-11, alpha -1.996, combined = 1.636e-12 rroots = 0
Wed Feb 25 23:04:11 2015  
Wed Feb 25 23:04:11 2015  commencing linear algebra
Wed Feb 25 23:04:14 2015  matrix starts at (0, 0)
Wed Feb 25 23:04:15 2015  matrix is 5401765 x 5401942 (1636.5 MB) with weight 483040513 (89.42/col)
Wed Feb 25 23:04:15 2015  sparse part has weight 369588347 (68.42/col)
Wed Feb 25 23:04:15 2015  saving the first 48 matrix rows for later
Wed Feb 25 23:04:15 2015  matrix includes 64 packed rows
Wed Feb 25 23:04:16 2015  matrix is 5401717 x 5401942 (1571.8 MB) with weight 391702946 (72.51/col)
Wed Feb 25 23:04:16 2015  sparse part has weight 358020995 (66.28/col)
Wed Feb 25 23:04:16 2015  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Wed Feb 25 23:04:27 2015  commencing Lanczos iteration
Wed Feb 25 23:04:27 2015  memory use: 1284.8 MB
Wed Feb 25 23:04:28 2015  restarting at iteration 10123 (dim = 640018)
Wed Feb 25 23:05:04 2015  linear algebra at 11.9%, ETA 31h17m
Wed Feb 25 23:05:17 2015  checkpointing every 150000 dimensions
Thu Feb 26 00:13:52 2015  lanczos halted after 12953 iterations (dim = 818973)
Thu Feb 26 00:13:52 2015  BLanczosTime: 4181
Thu Feb 26 00:13:52 2015  elapsed time 01:09:44
Thu Feb 26 00:14:03 2015  
Thu Feb 26 00:14:03 2015  
Thu Feb 26 00:14:03 2015  Msieve v. 1.52 (SVN unknown)
Thu Feb 26 00:14:03 2015  random seeds: a5a54116 3beac1c4
Thu Feb 26 00:14:03 2015  factoring 87777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779 (221 digits)
Thu Feb 26 00:14:04 2015  searching for 15-digit factors
Thu Feb 26 00:14:06 2015  commencing number field sieve (221-digit input)
Thu Feb 26 00:14:06 2015  R0: 5000000000000000000000000000000000000
Thu Feb 26 00:14:06 2015  R1: -1
Thu Feb 26 00:14:06 2015  A0: 275
Thu Feb 26 00:14:06 2015  A1: 0
Thu Feb 26 00:14:06 2015  A2: 0
Thu Feb 26 00:14:06 2015  A3: 0
Thu Feb 26 00:14:06 2015  A4: 0
Thu Feb 26 00:14:06 2015  A5: 0
Thu Feb 26 00:14:06 2015  A6: 1264
Thu Feb 26 00:14:06 2015  skew 1.00, size 3.578e-11, alpha -1.996, combined = 1.636e-12 rroots = 0
Thu Feb 26 00:14:06 2015  
Thu Feb 26 00:14:06 2015  commencing linear algebra
Thu Feb 26 00:14:09 2015  matrix starts at (0, 0)
Thu Feb 26 00:14:10 2015  matrix is 5401765 x 5401942 (1636.5 MB) with weight 483040513 (89.42/col)
Thu Feb 26 00:14:10 2015  sparse part has weight 369588347 (68.42/col)
Thu Feb 26 00:14:10 2015  saving the first 48 matrix rows for later
Thu Feb 26 00:14:10 2015  matrix includes 64 packed rows
Thu Feb 26 00:14:11 2015  matrix is 5401717 x 5401942 (1571.8 MB) with weight 391702946 (72.51/col)
Thu Feb 26 00:14:11 2015  sparse part has weight 358020995 (66.28/col)
Thu Feb 26 00:14:11 2015  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Thu Feb 26 00:14:23 2015  commencing Lanczos iteration (2 threads)
Thu Feb 26 00:14:23 2015  memory use: 1284.8 MB
Thu Feb 26 00:14:24 2015  restarting at iteration 12953 (dim = 818973)
Thu Feb 26 00:14:39 2015  checkpointing every 260000 dimensions
Thu Feb 26 00:14:45 2015  linear algebra at 15.2%, ETA 17h34m
Thu Feb 26 20:20:29 2015  lanczos halted after 85424 iterations (dim = 5401715)
Thu Feb 26 20:20:33 2015  recovered 36 nontrivial dependencies
Thu Feb 26 20:20:34 2015  BLanczosTime: 72388
Thu Feb 26 20:20:34 2015  elapsed time 20:06:31
Thu Feb 26 20:21:24 2015  
Thu Feb 26 20:21:24 2015  
Thu Feb 26 20:21:24 2015  Msieve v. 1.52 (SVN unknown)
Thu Feb 26 20:21:24 2015  random seeds: 12d0fa8f 04c8d34b
Thu Feb 26 20:21:24 2015  factoring 87777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779 (221 digits)
Thu Feb 26 20:21:25 2015  searching for 15-digit factors
Thu Feb 26 20:21:26 2015  commencing number field sieve (221-digit input)
Thu Feb 26 20:21:26 2015  R0: 5000000000000000000000000000000000000
Thu Feb 26 20:21:26 2015  R1: -1
Thu Feb 26 20:21:26 2015  A0: 275
Thu Feb 26 20:21:26 2015  A1: 0
Thu Feb 26 20:21:26 2015  A2: 0
Thu Feb 26 20:21:26 2015  A3: 0
Thu Feb 26 20:21:26 2015  A4: 0
Thu Feb 26 20:21:26 2015  A5: 0
Thu Feb 26 20:21:26 2015  A6: 1264
Thu Feb 26 20:21:26 2015  skew 1.00, size 3.578e-11, alpha -1.996, combined = 1.636e-12 rroots = 0
Thu Feb 26 20:21:26 2015  
Thu Feb 26 20:21:26 2015  commencing square root phase
Thu Feb 26 20:21:26 2015  reading relations for dependency 1
Thu Feb 26 20:21:26 2015  read 2699953 cycles
Thu Feb 26 20:21:30 2015  cycles contain 8314424 unique relations
Thu Feb 26 20:22:42 2015  read 8314424 relations
Thu Feb 26 20:23:15 2015  multiplying 8314424 relations
Thu Feb 26 20:30:11 2015  multiply complete, coefficients have about 289.43 million bits
Thu Feb 26 20:30:12 2015  initial square root is modulo 156127
Thu Feb 26 20:36:53 2015  sqrtTime: 927
Thu Feb 26 20:36:53 2015  prp98 factor: 38551267879912509976031392024930189681185145222032416587215662621817984975650213026288504844801779
Thu Feb 26 20:36:53 2015  prp124 factor: 2276910270531340685750772626551289564349894939852655535713208074544466597572662209669144850452283118386005227731415099344001
Thu Feb 26 20:36:53 2015  elapsed time 00:15:29

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:32:05 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 5 秒 (日本時間)
4511e6326060Serge BatalovDecember 4, 2013 17:32:05 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 5 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:31 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 31 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:35 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 35 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:42 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 42 秒 (日本時間)
5043e6500 / 6813Serge BatalovJanuary 4, 2014 23:01:27 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 27 秒 (日本時間)

79×10221+119

c177

name 名前Serge Batalov
date 日付January 9, 2014 09:04:28 UTC 2014 年 1 月 9 日 (木) 18 時 4 分 28 秒 (日本時間)
composite number 合成数
360932918072419621969591976706844909527886909147967641808536265616298359037188691324692338410315413549868471791069691611527390817771028402735479362553588961223402478971637316103<177>
prime factors 素因数
1179002839355243919982413332565658847<37>
composite cofactor 合成数の残り
306134053307116218769908258924289359529717995522243788802074921892129221749054256840308291088482785913422772291521564082800977046045625765849<141>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4083458696
Step 1 took 15056ms
Step 2 took 6113ms
********** Factor found in step 2: 1179002839355243919982413332565658847
Found probable prime factor of 37 digits: 1179002839355243919982413332565658847
Composite cofactor

c141

name 名前Serge Batalov
date 日付May 24, 2014 18:41:18 UTC 2014 年 5 月 25 日 (日) 3 時 41 分 18 秒 (日本時間)
composite number 合成数
306134053307116218769908258924289359529717995522243788802074921892129221749054256840308291088482785913422772291521564082800977046045625765849<141>
prime factors 素因数
301141514669769276507019398522333346977968861<45>
136187058701175359707596626437452354069487390039<48>
7464576460793679468820667544367211561371129935131<49>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3030204673
Step 1 took 35979ms
********** Factor found in step 1: 301141514669769276507019398522333346977968861
Found probable prime factor of 45 digits: 301141514669769276507019398522333346977968861


Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=681941894
Step 1 took 35330ms
Step 2 took 19660ms
********** Factor found in step 2: 7464576460793679468820667544367211561371129935131
Found probable prime factor of 49 digits: 7464576460793679468820667544367211561371129935131

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:11 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 11 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 05:09:30 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 30 秒 (日本時間)
4511e63990 / 4372230Ignacio SantosFebruary 5, 2014 19:19:36 UTC 2014 年 2 月 6 日 (木) 4 時 19 分 36 秒 (日本時間)
230Ignacio SantosFebruary 5, 2014 22:44:43 UTC 2014 年 2 月 6 日 (木) 7 時 44 分 43 秒 (日本時間)
230Ignacio SantosFebruary 6, 2014 17:42:30 UTC 2014 年 2 月 7 日 (金) 2 時 42 分 30 秒 (日本時間)
1500Dmitry DomanovMarch 21, 2014 11:39:04 UTC 2014 年 3 月 21 日 (金) 20 時 39 分 4 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:28 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 28 秒 (日本時間)

79×10223+119

c205

name 名前Serge Batalov
date 日付November 27, 2013 17:31:21 UTC 2013 年 11 月 28 日 (木) 2 時 31 分 21 秒 (日本時間)
composite number 合成数
2352172892334524685915682717112338556973717819386360309995506472489943058415415203333070822627346329433556499114437939090240443886575491843554207572726318849003675550805917215836879879085080558744177818063<205>
prime factors 素因数
178223755487140761994060616380121<33>
13197864032801391398597830541685963470963882938974349977939581377023098186181071518491028973748000970175516420222907259829208817376586265565815557389121897029540827126633703<173>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1624009778
Step 1 took 5354ms
Step 2 took 2591ms
********** Factor found in step 2: 178223755487140761994060616380121
Found probable prime factor of 33 digits: 178223755487140761994060616380121
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)

79×10225+119

c175

name 名前Serge Batalov
date 日付January 9, 2014 10:20:43 UTC 2014 年 1 月 9 日 (木) 19 時 20 分 43 秒 (日本時間)
composite number 合成数
4241380538819186585197421333215873479104087247461681127835000438827330413005604604013680118602860423331967604653648404693629696023561448232796705343240872528059142037410963949<175>
prime factors 素因数
1366924445740458208769508216682848287<37>
composite cofactor 合成数の残り
3102863916170323172305549291371292270615812777837042674960112798097705818016262865888567372023079977896796556465488675978640428449282624627<139>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2530646161
Step 1 took 16108ms
Step 2 took 6479ms
********** Factor found in step 2: 1366924445740458208769508216682848287
Found probable prime factor of 37 digits: 1366924445740458208769508216682848287
Composite cofactor 

c139

name 名前Erik Branger
date 日付March 4, 2014 18:10:51 UTC 2014 年 3 月 5 日 (水) 3 時 10 分 51 秒 (日本時間)
composite number 合成数
3102863916170323172305549291371292270615812777837042674960112798097705818016262865888567372023079977896796556465488675978640428449282624627<139>
prime factors 素因数
2818033796094892002480345740852692630727676405181<49>
1101074061095412089858782903517396210434964354082858973572240383123125002974418889441027567<91>
factorization results 素因数分解の結果
Number: 87779_225
N = 3102863916170323172305549291371292270615812777837042674960112798097705818016262865888567372023079977896796556465488675978640428449282624627 (139 digits)
Divisors found:
r1=2818033796094892002480345740852692630727676405181 (pp49)
r2=1101074061095412089858782903517396210434964354082858973572240383123125002974418889441027567 (pp91)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 175.16 hours.
Factorization parameters were as follows:
# Murphy_E = 2.457e-11, selected by Erik Branger
# expecting poly E from 2.54e-011 to > 2.92e-011
n: 3102863916170323172305549291371292270615812777837042674960112798097705818016262865888567372023079977896796556465488675978640428449282624627
Y0: -1058058560439503906631242577
Y1: 219628055901529
c0: -3070582674026407857873180989284496
c1: 2792110829206086037221529044
c2: 36992867271599594065388
c3: -9474670437738669
c4: -42956802132
c5: 2340
skew: 1008966.47
type: gnfs
# selected mechanically
rlim: 16600000
alim: 16600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16600000/16600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23340855
Relations: 4063782 relations
Pruned matrix : 2495217 x 2495442
Polynomial selection time: 0.00 hours.
Total sieving time: 170.12 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 4.79 hours.
time per square root: 0.12 hours.
Prototype def-par.txt line would be: gnfs,138,5,65,2000,1e-05,0.28,250,20,50000,3600,16600000,16600000,28,28,55,55,2.6,2.6,100000
total time: 175.16 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
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:12 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 12 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 05:09:31 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 31 秒 (日本時間)
4511e6690 / 4372230Ignacio SantosFebruary 4, 2014 22:34:40 UTC 2014 年 2 月 5 日 (水) 7 時 34 分 40 秒 (日本時間)
230Ignacio SantosFebruary 5, 2014 15:49:56 UTC 2014 年 2 月 6 日 (木) 0 時 49 分 56 秒 (日本時間)
230Ignacio SantosFebruary 5, 2014 19:19:05 UTC 2014 年 2 月 6 日 (木) 4 時 19 分 5 秒 (日本時間)

79×10226+119

c224

name 名前Bob Backstrom
date 日付October 6, 2018 11:33:51 UTC 2018 年 10 月 6 日 (土) 20 時 33 分 51 秒 (日本時間)
composite number 合成数
17174286397530381095241200895671645035761646992325920128698449966303615295984695319463466597099936955151198939107371899389117154720754799017369942824844018348224961412204613143763994869453683775734255092502010913280723493989<224>
prime factors 素因数
63293972535532681225097731848864821939305804018032164879<56>
271341578187226078982474429932021923741926422189995313390445646784513158352878594665441019961605172230254467625166395394174844838819201715852086345031822531575796310091<168>
factorization results 素因数分解の結果
Number: n
N=17174286397530381095241200895671645035761646992325920128698449966303615295984695319463466597099936955151198939107371899389117154720754799017369942824844018348224961412204613143763994869453683775734255092502010913280723493989
  ( 224 digits)
SNFS difficulty: 229 digits.
Divisors found:

Sat Oct  6 21:29:10 2018  p56 factor: 63293972535532681225097731848864821939305804018032164879
Sat Oct  6 21:29:10 2018  p168 factor: 271341578187226078982474429932021923741926422189995313390445646784513158352878594665441019961605172230254467625166395394174844838819201715852086345031822531575796310091
Sat Oct  6 21:29:10 2018  elapsed time 20:46:23 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.120).
Factorization parameters were as follows:
#
# N = 79x10^226+11 = 87(225)9
#
n: 17174286397530381095241200895671645035761646992325920128698449966303615295984695319463466597099936955151198939107371899389117154720754799017369942824844018348224961412204613143763994869453683775734255092502010913280723493989
m: 50000000000000000000000000000000000000
deg: 6
c6: 1264
c0: 275
skew: 0.78
# Murphy_E = 1.016e-12
type: snfs
lss: 1
rlim: 46000000
alim: 46000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 46000000/46000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved  special-q in [100000, 91800000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 16681729 hash collisions in 101534784 relations (87388619 unique)
Msieve: matrix is 6292025 x 6292250 (2245.9 MB)

Sieving start time: 2018/10/04 00:51:48
Sieving end time  : 2018/10/06 00:38:41

Total sieving time: 47hrs 46min 53secs.

Total relation processing time: 19hrs 15min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 31min 36sec.

Prototype def-par.txt line would be:
snfs,229,6,0,0,0,0,0,0,0,0,46000000,46000000,30,30,59,59,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.044000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285120K/16703460K available (12300K kernel code, 2472K rwdata, 4248K rodata, 2408K init, 2416K bss, 418340K reserved, 0K cma-reserved)
[    0.076570] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5989.19 BogoMIPS (lpj=11978392)
[    0.074211] smpboot: Total of 16 processors activated (95827.13 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:32:20 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 20 秒 (日本時間)
4511e6226060Serge BatalovDecember 4, 2013 17:32:20 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 20 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:36 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 36 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:47 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 47 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:51 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 51 秒 (日本時間)
5043e6619 / 7038500Serge BatalovJanuary 4, 2014 23:01:33 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 33 秒 (日本時間)
119KTakahashiOctober 8, 2014 02:02:54 UTC 2014 年 10 月 8 日 (水) 11 時 2 分 54 秒 (日本時間)

79×10228+119

c167

composite cofactor 合成数の残り
10788460768588864729060681023843685814856265418992659548110049038170717182774969638431902373830809893695238362206246904827784781836113428677727039949554807471286318157<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 6, 2014 11:36:12 UTC 2014 年 1 月 6 日 (月) 20 時 36 分 12 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:32 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 32 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 06:03:36 UTC 2014 年 2 月 10 日 (月) 15 時 3 分 36 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovFebruary 18, 2014 12:43:46 UTC 2014 年 2 月 18 日 (火) 21 時 43 分 46 秒 (日本時間)

79×10231+119

c200

name 名前Cyp
date 日付January 3, 2014 10:38:23 UTC 2014 年 1 月 3 日 (金) 19 時 38 分 23 秒 (日本時間)
composite number 合成数
28663676279690305927170378660507329722115606314217401561983631378440336134241518375538020939592096555447815911838308021283912651786371164848994093678192802330573318480078745005266726513619558725732619<200>
prime factors 素因数
757919692181517426328817219302666606769<39>
37818883155269067201114071658784722790974046452825135177760356858066743791440637246077369872215667339950924692212026214273748659658052086959963305369880136854651<161>
factorization results 素因数分解の結果
Run 130 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3949915456
Step 1 took 18714ms
Step 2 took 6037ms
********** Factor found in step 2: 757919692181517426328817219302666606769
Found probable prime factor of 39 digits: 757919692181517426328817219302666606769
Probable prime cofactor 37818883155269067201114071658784722790974046452825135177760356858066743791440637246077369872215667339950924692212026214273748659658052086959963305369880136854651 has 161 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 540Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6130 / 2318CypJanuary 3, 2014 10:38:22 UTC 2014 年 1 月 3 日 (金) 19 時 38 分 22 秒 (日本時間)

79×10233+119

c211

name 名前Dmitry Domanov
date 日付March 25, 2014 05:38:20 UTC 2014 年 3 月 25 日 (火) 14 時 38 分 20 秒 (日本時間)
composite number 合成数
2105246186974886874440427593013356837646614316367863736939386420210369703323141718261614488960928670112908292119304974853183086773579416825779429140753982615778147646935685823840647590644157402168937579139793317<211>
prime factors 素因数
38972817284126272971972830296037983786081<41>
54018321837676307014217837369253443319913483148633780437866668111411402203430418476984924408914695985541976306656696934282503251584001556551325405321507688543494247330757<170>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1326506847
Step 1 took 118686ms
Step 2 took 43006ms
********** Factor found in step 2: 38972817284126272971972830296037983786081
Found probable prime factor of 41 digits: 38972817284126272971972830296037983786081

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:13 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 13 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:09:32 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 32 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 06:03:51 UTC 2014 年 2 月 10 日 (月) 15 時 3 分 51 秒 (日本時間)
4511e61587 / 404087CypMarch 7, 2014 19:48:42 UTC 2014 年 3 月 8 日 (土) 4 時 48 分 42 秒 (日本時間)
1500Dmitry DomanovMarch 21, 2014 11:39:39 UTC 2014 年 3 月 21 日 (金) 20 時 39 分 39 秒 (日本時間)

79×10234+119

c213

name 名前Dmitry Domanov
date 日付March 24, 2014 10:13:55 UTC 2014 年 3 月 24 日 (月) 19 時 13 分 55 秒 (日本時間)
composite number 合成数
105662217869778268126648243695616191968611770766131499515552527061805828664290030779299195260564801008097483842006435152571665836283756441120298860434065271104108753032593251085817021173210017225026312912074572463<213>
prime factors 素因数
13638997580960477799413987362547997730380269<44>
7747066251942056798947578519968029940889021189815094159252036876835275758459192752173824251651962674712864341424556734843791062007163108034035116029123010812682294610827<169>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1796112700
Step 1 took 154620ms
Step 2 took 43072ms
********** Factor found in step 2: 13638997580960477799413987362547997730380269
Found probable prime factor of 44 digits: 13638997580960477799413987362547997730380269

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 2, 2014 04:14:28 UTC 2014 年 1 月 2 日 (木) 13 時 14 分 28 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:33 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 33 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 06:04:14 UTC 2014 年 2 月 10 日 (月) 15 時 4 分 14 秒 (日本時間)
4511e61500 / 3876Dmitry DomanovMarch 21, 2014 11:39:52 UTC 2014 年 3 月 21 日 (金) 20 時 39 分 52 秒 (日本時間)
5043e639 / 7137CypJanuary 26, 2014 05:36:09 UTC 2014 年 1 月 26 日 (日) 14 時 36 分 9 秒 (日本時間)

79×10235+119

c236

composite cofactor 合成数の残り
87777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:32:27 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 27 秒 (日本時間)
4511e6136060Serge BatalovDecember 4, 2013 17:32:27 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 27 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:45 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 45 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:48 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 48 秒 (日本時間)
5043e61760500Serge BatalovJanuary 4, 2014 23:01:41 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 41 秒 (日本時間)
760Serge BatalovFebruary 24, 2014 02:26:44 UTC 2014 年 2 月 24 日 (月) 11 時 26 分 44 秒 (日本時間)
500Serge BatalovJanuary 11, 2015 01:24:43 UTC 2015 年 1 月 11 日 (日) 10 時 24 分 43 秒 (日本時間)
5511e78000 / 17055yoyo@HomeJune 3, 2020 12:55:14 UTC 2020 年 6 月 3 日 (水) 21 時 55 分 14 秒 (日本時間)

79×10236+119

c190

composite cofactor 合成数の残り
1352494908895938538319841129564747362242686023787340817841303383064468411953403098840044380192796977518388783327998937131200876469007667215076954284621594092313393925699632244684093960870427<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 1, 2014 16:04:16 UTC 2014 年 1 月 2 日 (木) 1 時 4 分 16 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:34 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 34 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 06:04:38 UTC 2014 年 2 月 10 日 (月) 15 時 4 分 38 秒 (日本時間)
4511e61567 / 401367CypFebruary 15, 2014 19:05:14 UTC 2014 年 2 月 16 日 (日) 4 時 5 分 14 秒 (日本時間)
1500Dmitry DomanovMarch 21, 2014 11:40:12 UTC 2014 年 3 月 21 日 (金) 20 時 40 分 12 秒 (日本時間)

79×10237+119

c238

name 名前Serge Batalov
date 日付January 11, 2015 02:43:51 UTC 2015 年 1 月 11 日 (日) 11 時 43 分 51 秒 (日本時間)
composite number 合成数
8777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<238>
prime factors 素因数
1079658380071857716112018600129098046832806554606117<52>
8130143700819109299901327990543034708573990071063037650080461563131981152894408893395611534954174487085699977915891895306861316928810292403173571945587394075182678252140891147337718856887<187>
factorization results 素因数分解の結果
Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=3096186530
Step 1 took 329878ms
Step 2 took 175238ms
********** Factor found in step 2: 1079658380071857716112018600129098046832806554606117
Found probable prime factor of 52 digits: 1079658380071857716112018600129098046832806554606117
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:32:29 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 29 秒 (日本時間)
4511e6136060Serge BatalovDecember 4, 2013 17:32:29 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 29 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:46 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 46 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:48 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 48 秒 (日本時間)
5043e61760 / 7240500Serge BatalovJanuary 4, 2014 23:01:42 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 42 秒 (日本時間)
760Serge BatalovFebruary 24, 2014 02:26:48 UTC 2014 年 2 月 24 日 (月) 11 時 26 分 48 秒 (日本時間)
500Serge BatalovJanuary 11, 2015 01:24:46 UTC 2015 年 1 月 11 日 (日) 10 時 24 分 46 秒 (日本時間)

79×10239+119

c222

composite cofactor 合成数の残り
356851182481353162276918877695181024922907750902983710596114429683110638371331438883092627389599327170619738540736268348074150040125204602566736879209792586143051466294084140904362849417607237361090058056963215374317973647<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 1, 2014 05:02:01 UTC 2014 年 1 月 1 日 (水) 14 時 2 分 1 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:35 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 35 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 06:04:58 UTC 2014 年 2 月 10 日 (月) 15 時 4 分 58 秒 (日本時間)
4511e61500 / 3876Dmitry DomanovMarch 21, 2014 11:40:31 UTC 2014 年 3 月 21 日 (金) 20 時 40 分 31 秒 (日本時間)
5043e639 / 7137CypJanuary 25, 2014 18:54:12 UTC 2014 年 1 月 26 日 (日) 3 時 54 分 12 秒 (日本時間)

79×10240+119

c226

name 名前Serge Batalov
date 日付November 27, 2013 17:34:38 UTC 2013 年 11 月 28 日 (木) 2 時 34 分 38 秒 (日本時間)
composite number 合成数
4577864442880025814625250587214370565965408190030755924949068315022484319743371308872353669674303875071083529482056691287920222336199789561514683835419349680487193731350610341867463015904052065916214124078925491653249677443121<226>
prime factors 素因数
22972874929450817869826757647<29>
composite cofactor 合成数の残り
199272596788105299792989203723269673521922805438637613826503978097459306640730326798984466891256213089410360622066241974699748054637848619941466104548587205009540869480990027620919597347941515306943<198>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2494720235
Step 1 took 6688ms
Step 2 took 3394ms
********** Factor found in step 2: 22972874929450817869826757647
Found probable prime factor of 29 digits: 22972874929450817869826757647
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 2, 2014 08:42:03 UTC 2014 年 1 月 2 日 (木) 17 時 42 分 3 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:35 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 35 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 06:05:11 UTC 2014 年 2 月 10 日 (月) 15 時 5 分 11 秒 (日本時間)
4511e667 / 4013CypMarch 7, 2014 14:00:21 UTC 2014 年 3 月 7 日 (金) 23 時 0 分 21 秒 (日本時間)

79×10241+119

c214

composite cofactor 合成数の残り
3486948238351526707704306106616954527047113146255381880835985044887015939850159804775983368020819989926506523694057581660031320351849654768294524159412191121999633060082003184467669135170131540917671464442585315513<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:14 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 14 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:09:36 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 36 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 06:05:25 UTC 2014 年 2 月 10 日 (月) 15 時 5 分 25 秒 (日本時間)
4511e61000 / 4040Dmitry DomanovMarch 20, 2014 09:25:59 UTC 2014 年 3 月 20 日 (木) 18 時 25 分 59 秒 (日本時間)

79×10242+119

c149

composite cofactor 合成数の残り
81623123540656994860238829077224118847508843520233671466639585030242812979286549295849911915117851321479290435075822130179404939642207755387881207777<149>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:31:39 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 39 秒 (日本時間)
4511e6443460Serge BatalovDecember 4, 2013 17:31:39 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 39 秒 (日本時間)
230Ignacio SantosDecember 26, 2013 15:34:43 UTC 2013 年 12 月 27 日 (金) 0 時 34 分 43 秒 (日本時間)
230Ignacio SantosDecember 26, 2013 19:03:40 UTC 2013 年 12 月 27 日 (金) 4 時 3 分 40 秒 (日本時間)
230Ignacio SantosDecember 26, 2013 23:14:25 UTC 2013 年 12 月 27 日 (金) 8 時 14 分 25 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:59 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 59 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:00 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 0 秒 (日本時間)
2384Ignacio SantosFebruary 16, 2016 16:05:44 UTC 2016 年 2 月 17 日 (水) 1 時 5 分 44 秒 (日本時間)

79×10243+119

c185

composite cofactor 合成数の残り
45225778576815164173342297455983975504711861395856816395969033290663955032089600383815310474278882096203371152976966232669820314357579114820782151177688438409158287615272363514917476319<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:15 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 15 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:09:37 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 37 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 06:05:45 UTC 2014 年 2 月 10 日 (月) 15 時 5 分 45 秒 (日本時間)
4511e60 / 3875--
5043e647 / 7480CypJanuary 24, 2014 23:28:08 UTC 2014 年 1 月 25 日 (土) 8 時 28 分 8 秒 (日本時間)

79×10244+119

c217

name 名前Serge Batalov
date 日付November 27, 2013 17:36:49 UTC 2013 年 11 月 28 日 (木) 2 時 36 分 49 秒 (日本時間)
composite number 合成数
1847307150538889104005797579321927197520155383754451120759022737792791156182158769816153905373516348401654238052417709278861060263465793067271245959478095934641652176579858677000736347079345521432658889259424197113041<217>
prime factors 素因数
41215299783393619963555269029<29>
composite cofactor 合成数の残り
44820907775689699874689287672923418027759217606797363340970928278342896537632122308548639955268319724435089369302063772824992360623009951769563331197240222211517171823137980546245121072829<188>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3475014817
Step 1 took 6672ms
Step 2 took 3264ms
********** Factor found in step 2: 41215299783393619963555269029
Found probable prime factor of 29 digits: 41215299783393619963555269029
Composite cofactor

c188

name 名前Cyp
date 日付January 2, 2014 03:14:12 UTC 2014 年 1 月 2 日 (木) 12 時 14 分 12 秒 (日本時間)
composite number 合成数
44820907775689699874689287672923418027759217606797363340970928278342896537632122308548639955268319724435089369302063772824992360623009951769563331197240222211517171823137980546245121072829<188>
prime factors 素因数
19617038705562888648548096887879535194429<41>
2284794787246845819213882928164833945153936467136939335397820314767931637881124897679022272497013048733409065730521373169740782217640271919931849601<148>
factorization results 素因数分解の結果
Run 287 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1685628018
Step 1 took 16068ms
Step 2 took 5668ms
********** Factor found in step 2: 19617038705562888648548096887879535194429
Found probable prime factor of 41 digits: 19617038705562888648548096887879535194429
Probable prime cofactor 2284794787246845819213882928164833945153936467136939335397820314767931637881124897679022272497013048733409065730521373169740782217640271919931849601 has 148 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 KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6287 / 2318CypJanuary 2, 2014 03:14:10 UTC 2014 年 1 月 2 日 (木) 12 時 14 分 10 秒 (日本時間)

79×10245+119

c200

composite cofactor 合成数の残り
17441375182677472576459247057736377483196737449232519561342965772842809174250994295788192280818393222369294994669118754941509546905261132225403804852739310004580955674593493878832623528772690093491299<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 3, 2014 13:45:03 UTC 2014 年 1 月 3 日 (金) 22 時 45 分 3 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:38 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 38 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 06:06:00 UTC 2014 年 2 月 10 日 (月) 15 時 6 分 0 秒 (日本時間)
4511e61000 / 4013Dmitry DomanovMarch 20, 2014 09:26:16 UTC 2014 年 3 月 20 日 (木) 18 時 26 分 16 秒 (日本時間)

79×10247+119

c246

composite cofactor 合成数の残り
776794493608652900688298918387413962635201573254670599803343166175024582104228121927236971484759095378564405113077679449360865290068829891838741396263520157325467059980334316617502458210422812192723697148475909537856440511307767944936086529006883<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:32:45 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 45 秒 (日本時間)
4511e6266060Serge BatalovDecember 4, 2013 17:32:45 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 45 秒 (日本時間)
2600Serge BatalovDecember 25, 2013 04:39:59 UTC 2013 年 12 月 25 日 (水) 13 時 39 分 59 秒 (日本時間)
5043e65700 / 6948Serge BatalovDecember 25, 2013 07:49:04 UTC 2013 年 12 月 25 日 (水) 16 時 49 分 4 秒 (日本時間)

79×10248+119

c219

name 名前Cyp
date 日付January 24, 2014 17:57:58 UTC 2014 年 1 月 25 日 (土) 2 時 57 分 58 秒 (日本時間)
composite number 合成数
164487127184144002177475199976422898508774708714154325477744341650429090704988689671229066603834199112991045835755583283149901435214454466295386492606055605345638286518938196443838227433824547764198641881268480085259407<219>
prime factors 素因数
1069519622165237767170587253521493497193783174751801<52>
composite cofactor 合成数の残り
153795333694898030245278535512984117548325615623486461775154117654218699180225858526154233794232108396211663268483464684321610575923659023742446590757122579597499756807<168>
factorization results 素因数分解の結果
Run 29 out of 39:
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3774540396
Step 1 took 267592ms
Step 2 took 62275ms
********** Factor found in step 2: 1069519622165237767170587253521493497193783174751801
Found probable prime factor of 52 digits: 1069519622165237767170587253521493497193783174751801
Composite cofactor 153795333694898030245278535512984117548325615623486461775154117654218699180225858526154233794232108396211663268483464684321610575923659023742446590757122579597499756807 has 168 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 KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 1, 2014 05:01:22 UTC 2014 年 1 月 1 日 (水) 14 時 1 分 22 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:39 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 39 秒 (日本時間)
4511e6460Ignacio SantosFebruary 8, 2014 21:46:43 UTC 2014 年 2 月 9 日 (日) 6 時 46 分 43 秒 (日本時間)
5043e61239 / 304039CypJanuary 24, 2014 17:57:57 UTC 2014 年 1 月 25 日 (土) 2 時 57 分 57 秒 (日本時間)
1200Erik BrangerFebruary 25, 2014 10:17:18 UTC 2014 年 2 月 25 日 (火) 19 時 17 分 18 秒 (日本時間)
5511e71820 / 17294900Serge BatalovJune 5, 2014 02:34:28 UTC 2014 年 6 月 5 日 (木) 11 時 34 分 28 秒 (日本時間)
920Serge BatalovJune 5, 2014 15:28:29 UTC 2014 年 6 月 6 日 (金) 0 時 28 分 29 秒 (日本時間)

79×10249+119

c213

composite cofactor 合成数の残り
280501023830020155610902643092543913805945939452707319946674563622752278456000340914854830992058557011271134753976080360088272014330886268049319312714946529936048710761324420410645888243802175276365802881984270109<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:15 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 15 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:09:40 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 40 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 06:06:26 UTC 2014 年 2 月 10 日 (月) 15 時 6 分 26 秒 (日本時間)
4511e60 / 3875--
5043e647 / 7480CypJanuary 13, 2014 06:34:48 UTC 2014 年 1 月 13 日 (月) 15 時 34 分 48 秒 (日本時間)

79×10250+119

c230

name 名前Dmitry Domanov
date 日付February 20, 2014 05:42:59 UTC 2014 年 2 月 20 日 (木) 14 時 42 分 59 秒 (日本時間)
composite number 合成数
31570792648028793354258824039959558331691322363960563659101811750880629369788895365992305309566045973811718936308402323396882263928459214589071321321090968711688562312661995466932783495907405440167869845101524956157413114387671479<230>
prime factors 素因数
216118613711879090496875688396523211271319669<45>
composite cofactor 合成数の残り
146080858588690297596622385885088830382600740974114269882853653377655945461891945313537479160045920531080488609438608502722232858862572121654979281733369509457603267350190595972579306491<186>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=801218231
Step 1 took 438641ms
Step 2 took 117673ms
********** Factor found in step 2: 216118613711879090496875688396523211271319669
Found probable prime factor of 45 digits: 216118613711879090496875688396523211271319669

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 1, 2014 04:45:34 UTC 2014 年 1 月 1 日 (水) 13 時 45 分 34 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:40 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 40 秒 (日本時間)
1500Dmitry DomanovFebruary 10, 2014 06:00:15 UTC 2014 年 2 月 10 日 (月) 15 時 0 分 15 秒 (日本時間)
4511e62400Dmitry DomanovFebruary 17, 2014 12:46:24 UTC 2014 年 2 月 17 日 (月) 21 時 46 分 24 秒 (日本時間)
5043e6489 / 693539CypJanuary 31, 2014 16:35:38 UTC 2014 年 2 月 1 日 (土) 1 時 35 分 38 秒 (日本時間)
450Dmitry DomanovFebruary 18, 2014 10:57:52 UTC 2014 年 2 月 18 日 (火) 19 時 57 分 52 秒 (日本時間)