Table of contents 目次

10106+1493

c103

name 名前KTakahashi
date 日付December 19, 2014 12:57:56 UTC 2014 年 12 月 19 日 (金) 21 時 57 分 56 秒 (日本時間)
composite number 合成数
2250731487733513391852352014404681521494485707855052892189961737564708530272338510015755120414134593743<103>
prime factors 素因数
755784739826568853414546496624161675466015196464449<51>
2978005997117634826115727294512745561968358558587407<52>
factorization results 素因数分解の結果
Number: 33383_106
N=2250731487733513391852352014404681521494485707855052892189961737564708530272338510015755120414134593743
  ( 103 digits)
SNFS difficulty: 106 digits.
Divisors found:
 r1=755784739826568853414546496624161675466015196464449 (pp51)
 r2=2978005997117634826115727294512745561968358558587407 (pp52)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 0.97 hours.
Scaled time: 1.98 units (timescale=2.048).
Factorization parameters were as follows:
n: 2250731487733513391852352014404681521494485707855052892189961737564708530272338510015755120414134593743
m: 1000000000000000000000
c5: 10
c0: 149
skew: 1.72
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 89033 x 89281
Total sieving time: 0.92 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,106.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 0.97 hours.
 --------- CPU info (if available) ----------

ECM

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

10115+1493

c104

name 名前KTakahashi
date 日付December 19, 2014 13:12:40 UTC 2014 年 12 月 19 日 (金) 22 時 12 分 40 秒 (日本時間)
composite number 合成数
85349264812276957887008610192165683652766626004785858441653450841478730698877839995232205030380096115987<104>
prime factors 素因数
988806336073458979008102169817279252785611341<45>
86315450962013569648804498700208412519685833042373918352607<59>
factorization results 素因数分解の結果
Number: 33383_115
N=85349264812276957887008610192165683652766626004785858441653450841478730698877839995232205030380096115987
  ( 104 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=988806336073458979008102169817279252785611341 (pp45)
 r2=86315450962013569648804498700208412519685833042373918352607 (pp59)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.46 hours.
Scaled time: 2.47 units (timescale=1.691).
Factorization parameters were as follows:
n: 85349264812276957887008610192165683652766626004785858441653450841478730698877839995232205030380096115987
m: 100000000000000000000000
c5: 1
c0: 149
skew: 2.72
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 75039 x 75272
Total sieving time: 1.42 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,115.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.46 hours.
 --------- CPU info (if available) ----------

ECM

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

10122+1493

c109

name 名前Serge Batalov
date 日付December 19, 2014 23:54:01 UTC 2014 年 12 月 20 日 (土) 8 時 54 分 1 秒 (日本時間)
composite number 合成数
3788689675710962461063660641187605751748244374024984089785743501227042610678662189604919817440368533805860309<109>
prime factors 素因数
866717409794189006503105816228605619071343<42>
4371309071327672907730784920677585076599626556877946548010280499963<67>
factorization results 素因数分解の結果
Divisors found:
 r1=866717409794189006503105816228605619071343 (pp42)
 r2=4371309071327672907730784920677585076599626556877946548010280499963 (pp67)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 1.03 hours.
Scaled time: 2.46 units (timescale=2.400).
Factorization parameters were as follows:
n: 3788689675710962461063660641187605751748244374024984089785743501227042610678662189604919817440368533805860309
m: 1000000000000000000000000
deg: 5
c5: 100
c0: 149
skew: 1.08
# Murphy_E = 1.177e-08
type: snfs
lss: 1
rlim: 760000
alim: 760000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 760000/760000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [380000, 780001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 90012 x 90238
Total sieving time: 0.96 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,122.000,5,0,0,0,0,0,0,0,0,760000,760000,25,25,46,46,2.2,2.2,50000
total time: 1.03 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 19, 2014 13:39:50 UTC 2014 年 12 月 19 日 (金) 22 時 39 分 50 秒 (日本時間)

10123+1493

c120

name 名前Serge Batalov
date 日付December 19, 2014 18:17:48 UTC 2014 年 12 月 20 日 (土) 3 時 17 分 48 秒 (日本時間)
composite number 合成数
223863890754421311842399820908887396462950526080143272890082829639579135885381687933736288336691291694649653010969330647<120>
prime factors 素因数
5908299392581099639092897026665423<34>
37889733725329063563014027660158258289666905775506637071504300134858866376994948596089<86>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=571338456
Step 1 took 2537ms
Step 2 took 1954ms
********** Factor found in step 2: 5908299392581099639092897026665423
Found probable prime factor of 34 digits: 5908299392581099639092897026665423
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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10133+1493

c98

name 名前Serge Batalov
date 日付December 19, 2014 17:53:07 UTC 2014 年 12 月 20 日 (土) 2 時 53 分 7 秒 (日本時間)
composite number 合成数
36560994231309830644323991077086889678888706833936300713869101450161851543122266455320072668498777<98>
prime factors 素因数
5993850309296978343979193110506847404107<40>
6099750968855624903279140076798107431367507327386423624811<58>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=210070101
Step 1 took 1843ms
Step 2 took 1447ms
********** Factor found in step 2: 5993850309296978343979193110506847404107
Found probable prime factor of 40 digits: 5993850309296978343979193110506847404107
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 KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)

10134+1493

c120

name 名前Jo Yeong Uk
date 日付December 20, 2014 13:00:34 UTC 2014 年 12 月 20 日 (土) 22 時 0 分 34 秒 (日本時間)
composite number 合成数
770641357589940981345765525218254083483855321285617384753160535968826977914536787421351704704408076453513674136754488083<120>
prime factors 素因数
54648117122235384364009665820654560067782128663<47>
14101883068838252636774319908284738167162779246392250961308469942978378341<74>
factorization results 素因数分解の結果
Number: 33383_134
N=770641357589940981345765525218254083483855321285617384753160535968826977914536787421351704704408076453513674136754488083
  ( 120 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=54648117122235384364009665820654560067782128663
 r2=14101883068838252636774319908284738167162779246392250961308469942978378341
Version: 
Total time: 1.16 hours.
Scaled time: 6.09 units (timescale=5.256).
Factorization parameters were as follows:
n: 770641357589940981345765525218254083483855321285617384753160535968826977914536787421351704704408076453513674136754488083
m: 1000000000000000000000000000
deg: 5
c5: 1
c0: 1490
skew: 4.31
# Murphy_E = 5.258e-09
type: snfs
lss: 1
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [650000, 1125001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3245552
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 189417 x 189665
Total sieving time: 0.99 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,47,47,2.3,2.3,25000
total time: 1.16 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.88 BogoMIPS (lpj=3399941)
Total of 12 processors activated (81598.58 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:31 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 31 秒 (日本時間)

10140+1493

c138

name 名前Serge Batalov
date 日付December 20, 2014 02:06:04 UTC 2014 年 12 月 20 日 (土) 11 時 6 分 4 秒 (日本時間)
composite number 合成数
254452926208651399491094147582697201017811704834605597964376590330788804071246819338422391857506361323155216284987277353689567430025445293<138>
prime factors 素因数
2344598188017409361709248692649774726031812569052836477065153352847<67>
108527306516353073440411809385987960608763368664548878102426712037039619<72>
factorization results 素因数分解の結果
Divisors found:
 r1=2344598188017409361709248692649774726031812569052836477065153352847 (pp67)
 r2=108527306516353073440411809385987960608763368664548878102426712037039619 (pp72)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 2.21 hours.
Scaled time: 5.29 units (timescale=2.400).
Factorization parameters were as follows:
#res 7079 33383_140
n: 254452926208651399491094147582697201017811704834605597964376590330788804071246819338422391857506361323155216284987277353689567430025445293
m: 10000000000000000000000000000
deg: 5
c5: 1
c0: 149
skew: 2.72
# Murphy_E = 4.478e-09
type: snfs
lss: 1
rlim: 1510000
alim: 1510000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1510000/1510000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [755000, 1430001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 167734 x 167959
Total sieving time: 2.14 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,140.000,5,0,0,0,0,0,0,0,0,1510000,1510000,26,26,48,48,2.3,2.3,75000
total time: 2.21 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:03 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 3 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:24 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 24 秒 (日本時間)

10141+1493

c112

name 名前Jo Yeong Uk
date 日付December 21, 2014 09:52:22 UTC 2014 年 12 月 21 日 (日) 18 時 52 分 22 秒 (日本時間)
composite number 合成数
6745307118292790323419415131751822102900909594317060299645129339271170646175491822011004868364395864362363373859<112>
prime factors 素因数
35391270578419642585644434799623609<35>
190592397731146798298803483569512208121178824084463020396993983201399062072251<78>
factorization results 素因数分解の結果
Number: 33383_141
N=6745307118292790323419415131751822102900909594317060299645129339271170646175491822011004868364395864362363373859
  ( 112 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=35391270578419642585644434799623609
 r2=190592397731146798298803483569512208121178824084463020396993983201399062072251
Version: 
Total time: 2.12 hours.
Scaled time: 10.93 units (timescale=5.161).
Factorization parameters were as follows:
n: 6745307118292790323419415131751822102900909594317060299645129339271170646175491822011004868364395864362363373859
m: 10000000000000000000000000000
deg: 5
c5: 10
c0: 149
skew: 1.72
# Murphy_E = 2.91e-09
type: snfs
lss: 1
rlim: 1600000
alim: 1600000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [800000, 1625001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3871339
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 266047 x 266295
Total sieving time: 1.76 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1600000,1600000,26,26,48,48,2.3,2.3,25000
total time: 2.12 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.88 BogoMIPS (lpj=3399941)
Total of 12 processors activated (81598.58 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

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

10142+1493

c142

name 名前Serge Batalov
date 日付December 19, 2014 19:12:57 UTC 2014 年 12 月 20 日 (土) 4 時 12 分 57 秒 (日本時間)
composite number 合成数
3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333383<142>
prime factors 素因数
94712816823981536141975541833137483003<38>
35194110418320115914361777465714926466448395616819914154661241962474651337146467424130788563104748223461<104>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1536811398
Step 1 took 8836ms
Step 2 took 6863ms
********** Factor found in step 2: 94712816823981536141975541833137483003
Found probable prime factor of 38 digits: 94712816823981536141975541833137483003
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 19, 2014 19:06:45 UTC 2014 年 12 月 20 日 (土) 4 時 6 分 45 秒 (日本時間)

10151+1493

c109

name 名前Pierre Jammes
date 日付December 22, 2014 08:42:10 UTC 2014 年 12 月 22 日 (月) 17 時 42 分 10 秒 (日本時間)
composite number 合成数
1138852309392989397284717277902031483173022259875358378462455364179088166998266220300338485286987331568739631<109>
prime factors 素因数
2491466575515218371742641369247<31>
457101179114747895849084549482584932146946286351942803323833105350506633621873<78>
factorization results 素因数分解の結果
Using B1=3000000, B2=23415979870, polynomial Dickson(12), sigma=1658800561
Step 1 took 12272ms
Step 2 took 16432ms
********** Factor found in step 2: 2491466575515218371742641369247
Found probable prime factor of 31 digits: 2491466575515218371742641369247
Probable prime cofactor 457101179114747895849084549482584932146946286351942803323833105350506633621873 has 78 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Linux/Debian

ECM

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

10152+1493

c98

name 名前Dmitry Domanov
date 日付December 20, 2014 14:01:23 UTC 2014 年 12 月 20 日 (土) 23 時 1 分 23 秒 (日本時間)
composite number 合成数
57515023271894313966084236291643537904444898016397837545547840228094728882912013735407129548013733<98>
prime factors 素因数
9136643629642729123757991801222541534692859<43>
6294983760261133040387823790265264873820532718612165087<55>
factorization results 素因数分解の結果
N=57515023271894313966084236291643537904444898016397837545547840228094728882912013735407129548013733
  ( 98 digits)
Divisors found:
 r1=9136643629642729123757991801222541534692859 (pp43)
 r2=6294983760261133040387823790265264873820532718612165087 (pp55)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 3.07 hours.
Scaled time: 6.50 units (timescale=2.116).
Factorization parameters were as follows:
n: 57515023271894313966084236291643537904444898016397837545547840228094728882912013735407129548013733
skew: 1223039.85
c0: 453961253573873943618359210
c1: -1347264764078674258721
c2: -11408429103718550
c3: 2283244982
c4: 2244
Y0: -400119400077761700986079
Y1: 10309482071
rlim: 1680000
alim: 1680000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 1680000/1680000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [840000, 1140001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 157578 x 157809
Total sieving time: 2.89 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,97,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1680000,1680000,26,26,52,52,2.5,2.5,100000
total time: 3.07 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:33 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 33 秒 (日本時間)

10153+1493

c153

name 名前Serge Batalov
date 日付December 19, 2014 19:10:16 UTC 2014 年 12 月 20 日 (土) 4 時 10 分 16 秒 (日本時間)
composite number 合成数
333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333383<153>
prime factors 素因数
5534537436145511546501690390924818669<37>
11543753171740795845442610670123954791<38>
5217354948515510056447321567893099048531685198506439498410706723428370449553477<79>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3652193606
Step 1 took 9158ms
Step 2 took 7361ms
********** Factor found in step 2: 5534537436145511546501690390924818669
Found probable prime factor of 37 digits: 5534537436145511546501690390924818669

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=331531960
Step 1 took 9327ms
Step 2 took 7389ms
********** Factor found in step 2: 11543753171740795845442610670123954791
Found probable prime factor of 38 digits: 11543753171740795845442610670123954791

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 19, 2014 19:07:01 UTC 2014 年 12 月 20 日 (土) 4 時 7 分 1 秒 (日本時間)

10154+1493

c125

name 名前Serge Batalov
date 日付December 20, 2014 21:42:50 UTC 2014 年 12 月 21 日 (日) 6 時 42 分 50 秒 (日本時間)
composite number 合成数
70365474930387191967986925775956857508814854427166529417636109774510270233047866285140084103356835932098900305753287199917113<125>
prime factors 素因数
2787079216422389068044990051739<31>
4917435632036424516926306112584388073<37>
5134186337989769642895511349517454467693016674130053214979<58>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=538069386
Step 1 took 7631ms
Step 2 took 6309ms
********** Factor found in step 2: 2787079216422389068044990051739
Found probable prime factor of 31 digits: 2787079216422389068044990051739

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1538839946
Step 1 took 7618ms
Step 2 took 6365ms
********** Factor found in step 2: 4917435632036424516926306112584388073
Found probable prime factor of 37 digits: 4917435632036424516926306112584388073

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:22:18 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 18 秒 (日本時間)

10156+1493

c154

name 名前Jo Yeong Uk
date 日付December 25, 2014 22:14:15 UTC 2014 年 12 月 26 日 (金) 7 時 14 分 15 秒 (日本時間)
composite number 合成数
5464480874316939890710382513661202185792349726775956284153005464480874316939890710382513661202185792349726775956284153005464480874316939890710382513661203<154>
prime factors 素因数
60611401850969450692066864499510625741082612415116161593227<59>
90155988930151070327835933129628495922753302046700867712633268491643440855638072519550421832089<95>
factorization results 素因数分解の結果
Number: 33383_156
N=5464480874316939890710382513661202185792349726775956284153005464480874316939890710382513661202185792349726775956284153005464480874316939890710382513661203
  ( 154 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=60611401850969450692066864499510625741082612415116161593227
 r2=90155988930151070327835933129628495922753302046700867712633268491643440855638072519550421832089
Version: 
Total time: 6.62 hours.
Scaled time: 34.79 units (timescale=5.254).
Factorization parameters were as follows:
n: 5464480874316939890710382513661202185792349726775956284153005464480874316939890710382513661202185792349726775956284153005464480874316939890710382513661203
m: 10000000000000000000000000000000
deg: 5
c5: 10
c0: 149
skew: 1.72
# Murphy_E = 7.905e-10
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 2200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8015166
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 487922 x 488170
Total sieving time: 5.98 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,50000
total time: 6.62 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.88 BogoMIPS (lpj=3399941)
Total of 12 processors activated (81598.58 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:04 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 4 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:25 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 25 秒 (日本時間)

10157+1493

c144

name 名前Jo Yeong Uk
date 日付December 27, 2014 00:47:13 UTC 2014 年 12 月 27 日 (土) 9 時 47 分 13 秒 (日本時間)
composite number 合成数
356739483270398142554572746271620231075580786332154449595785365560440042549318291655650889839728332946899417875302625175189688945997931432315493<144>
prime factors 素因数
42046932523246265300110498911980054169859520245053836707137427<62>
8484316497360882874554937042925467712957527949121817083544731296660977353156849959<82>
factorization results 素因数分解の結果
Number: 33383_157
N=356739483270398142554572746271620231075580786332154449595785365560440042549318291655650889839728332946899417875302625175189688945997931432315493
  ( 144 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=42046932523246265300110498911980054169859520245053836707137427
 r2=8484316497360882874554937042925467712957527949121817083544731296660977353156849959
Version: 
Total time: 8.74 hours.
Scaled time: 45.87 units (timescale=5.249).
Factorization parameters were as follows:
n: 356739483270398142554572746271620231075580786332154449595785365560440042549318291655650889839728332946899417875302625175189688945997931432315493
m: 10000000000000000000000000000000
deg: 5
c5: 100
c0: 149
skew: 1.08
# Murphy_E = 6.055e-10
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8409973
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 533056 x 533304
Total sieving time: 7.93 hours.
Total relation processing time: 0.52 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,50000
total time: 8.74 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.88 BogoMIPS (lpj=3399941)
Total of 12 processors activated (81598.58 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:22:19 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 19 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:00 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 0 秒 (日本時間)

10158+1493

c149

name 名前Cyp
date 日付December 27, 2014 02:55:58 UTC 2014 年 12 月 27 日 (土) 11 時 55 分 58 秒 (日本時間)
composite number 合成数
64481952723688053591306849036176097790946247772634566115232547124292841174725998659906396798061973760809062179631694703571243515133035092824198691269<149>
prime factors 素因数
197130058630673466367837695732977436951944611531939638716805782519<66>
327103604450785934993818247963208400716426741712476810165646737254869993976256041251<84>
factorization results 素因数分解の結果
12/27/14 00:32:25 v1.34.3, 
12/27/14 00:32:25 v1.34.3, ****************************
12/27/14 00:32:25 v1.34.3, Starting factorization of 64481952723688053591306849036176097790946247772634566115232547124292841174725998659906396798061973760809062179631694703571243515133035092824198691269
12/27/14 00:32:25 v1.34.3, using pretesting plan: none
12/27/14 00:32:25 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/27/14 00:32:25 v1.34.3, ****************************
12/27/14 00:32:25 v1.34.3, nfs: commencing nfs on c149: 64481952723688053591306849036176097790946247772634566115232547124292841174725998659906396798061973760809062179631694703571243515133035092824198691269
12/27/14 00:32:25 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/27/14 00:32:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/27/14 00:36:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
[43 lines snipped]
12/27/14 03:39:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/27/14 03:43:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/27/14 03:47:46 v1.34.3, nfs: commencing msieve filtering
12/27/14 03:49:33 v1.34.3, nfs: commencing msieve linear algebra
12/27/14 03:54:39 v1.34.3, nfs: commencing msieve sqrt
12/27/14 03:55:57 v1.34.3, prp66 = 197130058630673466367837695732977436951944611531939638716805782519
12/27/14 03:55:57 v1.34.3, prp84 = 327103604450785934993818247963208400716426741712476810165646737254869993976256041251
12/27/14 03:55:57 v1.34.3, NFS elapsed time = 12211.8415 seconds.
12/27/14 03:55:57 v1.34.3, 
12/27/14 03:55:57 v1.34.3, 
12/27/14 03:55:57 v1.34.3, Total factoring time = 12211.8424 seconds
--
Sat Dec 27 03:47:46 2014  
Sat Dec 27 03:47:46 2014  commencing relation filtering
Sat Dec 27 03:47:46 2014  estimated available RAM is 15987.3 MB
Sat Dec 27 03:47:46 2014  commencing duplicate removal, pass 1
Sat Dec 27 03:48:14 2014  found 1443696 hash collisions in 10179292 relations
Sat Dec 27 03:48:23 2014  added 359746 free relations
Sat Dec 27 03:48:23 2014  commencing duplicate removal, pass 2
Sat Dec 27 03:48:31 2014  found 1014341 duplicates and 9524697 unique relations
Sat Dec 27 03:48:31 2014  memory use: 41.3 MB
Sat Dec 27 03:48:31 2014  reading ideals above 100000
Sat Dec 27 03:48:31 2014  commencing singleton removal, initial pass
Sat Dec 27 03:49:12 2014  memory use: 188.2 MB
Sat Dec 27 03:49:12 2014  reading all ideals from disk
Sat Dec 27 03:49:12 2014  memory use: 333.7 MB
Sat Dec 27 03:49:12 2014  keeping 9762938 ideals with weight <= 200, target excess is 51728
Sat Dec 27 03:49:13 2014  commencing in-memory singleton removal
Sat Dec 27 03:49:13 2014  begin with 9524697 relations and 9762938 unique ideals
Sat Dec 27 03:49:16 2014  reduce to 4603010 relations and 3732788 ideals in 11 passes
Sat Dec 27 03:49:16 2014  max relations containing the same ideal: 123
Sat Dec 27 03:49:17 2014  removing 1316828 relations and 916828 ideals in 400000 cliques
Sat Dec 27 03:49:17 2014  commencing in-memory singleton removal
Sat Dec 27 03:49:17 2014  begin with 3286182 relations and 3732788 unique ideals
Sat Dec 27 03:49:18 2014  reduce to 3038803 relations and 2542656 ideals in 9 passes
Sat Dec 27 03:49:18 2014  max relations containing the same ideal: 92
Sat Dec 27 03:49:19 2014  removing 1116095 relations and 716095 ideals in 400000 cliques
Sat Dec 27 03:49:19 2014  commencing in-memory singleton removal
Sat Dec 27 03:49:19 2014  begin with 1922708 relations and 2542656 unique ideals
Sat Dec 27 03:49:20 2014  reduce to 1692627 relations and 1566639 ideals in 9 passes
Sat Dec 27 03:49:20 2014  max relations containing the same ideal: 63
Sat Dec 27 03:49:20 2014  removing 265605 relations and 199622 ideals in 65983 cliques
Sat Dec 27 03:49:20 2014  commencing in-memory singleton removal
Sat Dec 27 03:49:21 2014  begin with 1427022 relations and 1566639 unique ideals
Sat Dec 27 03:49:21 2014  reduce to 1391766 relations and 1330361 ideals in 8 passes
Sat Dec 27 03:49:21 2014  max relations containing the same ideal: 53
Sat Dec 27 03:49:21 2014  relations with 0 large ideals: 1201
Sat Dec 27 03:49:21 2014  relations with 1 large ideals: 589
Sat Dec 27 03:49:21 2014  relations with 2 large ideals: 8428
Sat Dec 27 03:49:21 2014  relations with 3 large ideals: 55650
Sat Dec 27 03:49:21 2014  relations with 4 large ideals: 186885
Sat Dec 27 03:49:21 2014  relations with 5 large ideals: 351730
Sat Dec 27 03:49:21 2014  relations with 6 large ideals: 403635
Sat Dec 27 03:49:21 2014  relations with 7+ large ideals: 383648
Sat Dec 27 03:49:21 2014  commencing 2-way merge
Sat Dec 27 03:49:22 2014  reduce to 866393 relation sets and 804988 unique ideals
Sat Dec 27 03:49:22 2014  commencing full merge
Sat Dec 27 03:49:29 2014  memory use: 105.1 MB
Sat Dec 27 03:49:29 2014  found 448409 cycles, need 439188
Sat Dec 27 03:49:30 2014  weight of 439188 cycles is about 30830568 (70.20/cycle)
Sat Dec 27 03:49:30 2014  distribution of cycle lengths:
Sat Dec 27 03:49:30 2014  1 relations: 39401
Sat Dec 27 03:49:30 2014  2 relations: 43142
Sat Dec 27 03:49:30 2014  3 relations: 46873
Sat Dec 27 03:49:30 2014  4 relations: 46780
Sat Dec 27 03:49:30 2014  5 relations: 45603
Sat Dec 27 03:49:30 2014  6 relations: 42162
Sat Dec 27 03:49:30 2014  7 relations: 37801
Sat Dec 27 03:49:30 2014  8 relations: 32034
Sat Dec 27 03:49:30 2014  9 relations: 26671
Sat Dec 27 03:49:30 2014  10+ relations: 78721
Sat Dec 27 03:49:30 2014  heaviest cycle: 19 relations
Sat Dec 27 03:49:30 2014  commencing cycle optimization
Sat Dec 27 03:49:30 2014  start with 2643930 relations
Sat Dec 27 03:49:32 2014  pruned 80567 relations
Sat Dec 27 03:49:32 2014  memory use: 83.7 MB
Sat Dec 27 03:49:32 2014  distribution of cycle lengths:
Sat Dec 27 03:49:32 2014  1 relations: 39401
Sat Dec 27 03:49:32 2014  2 relations: 44092
Sat Dec 27 03:49:32 2014  3 relations: 48620
Sat Dec 27 03:49:32 2014  4 relations: 48280
Sat Dec 27 03:49:32 2014  5 relations: 47318
Sat Dec 27 03:49:32 2014  6 relations: 43530
Sat Dec 27 03:49:32 2014  7 relations: 38878
Sat Dec 27 03:49:32 2014  8 relations: 32665
Sat Dec 27 03:49:32 2014  9 relations: 26580
Sat Dec 27 03:49:32 2014  10+ relations: 69824
Sat Dec 27 03:49:32 2014  heaviest cycle: 19 relations
Sat Dec 27 03:49:33 2014  RelProcTime: 107
Sat Dec 27 03:49:33 2014  
Sat Dec 27 03:49:33 2014  commencing linear algebra
Sat Dec 27 03:49:33 2014  read 439188 cycles
Sat Dec 27 03:49:33 2014  cycles contain 1347639 unique relations
Sat Dec 27 03:49:42 2014  read 1347639 relations
Sat Dec 27 03:49:43 2014  using 20 quadratic characters above 134203074
Sat Dec 27 03:49:47 2014  building initial matrix
Sat Dec 27 03:49:54 2014  memory use: 168.1 MB
Sat Dec 27 03:49:54 2014  read 439188 cycles
Sat Dec 27 03:49:54 2014  matrix is 439010 x 439188 (130.7 MB) with weight 38789109 (88.32/col)
Sat Dec 27 03:49:54 2014  sparse part has weight 29424743 (67.00/col)
Sat Dec 27 03:49:56 2014  filtering completed in 2 passes
Sat Dec 27 03:49:56 2014  matrix is 438871 x 439049 (130.7 MB) with weight 38783531 (88.34/col)
Sat Dec 27 03:49:56 2014  sparse part has weight 29422264 (67.01/col)
Sat Dec 27 03:49:57 2014  matrix starts at (0, 0)
Sat Dec 27 03:49:57 2014  matrix is 438871 x 439049 (130.7 MB) with weight 38783531 (88.34/col)
Sat Dec 27 03:49:57 2014  sparse part has weight 29422264 (67.01/col)
Sat Dec 27 03:49:57 2014  saving the first 48 matrix rows for later
Sat Dec 27 03:49:57 2014  matrix includes 64 packed rows
Sat Dec 27 03:49:57 2014  matrix is 438823 x 439049 (123.2 MB) with weight 30516786 (69.51/col)
Sat Dec 27 03:49:57 2014  sparse part has weight 27913684 (63.58/col)
Sat Dec 27 03:49:57 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 27 03:49:58 2014  commencing Lanczos iteration (8 threads)
Sat Dec 27 03:49:58 2014  memory use: 119.3 MB
Sat Dec 27 03:50:06 2014  linear algebra at 2.8%, ETA 0h 4m
Sat Dec 27 03:54:39 2014  lanczos halted after 6941 iterations (dim = 438821)
Sat Dec 27 03:54:39 2014  recovered 36 nontrivial dependencies
Sat Dec 27 03:54:39 2014  BLanczosTime: 306
Sat Dec 27 03:54:39 2014  
Sat Dec 27 03:54:39 2014  commencing square root phase
Sat Dec 27 03:54:39 2014  reading relations for dependency 1
Sat Dec 27 03:54:39 2014  read 219324 cycles
Sat Dec 27 03:54:39 2014  cycles contain 673752 unique relations
Sat Dec 27 03:54:47 2014  read 673752 relations
Sat Dec 27 03:54:49 2014  multiplying 673752 relations
Sat Dec 27 03:55:02 2014  multiply complete, coefficients have about 20.91 million bits
Sat Dec 27 03:55:02 2014  initial square root is modulo 1013291
Sat Dec 27 03:55:18 2014  GCD is N, no factor found
Sat Dec 27 03:55:18 2014  reading relations for dependency 2
Sat Dec 27 03:55:18 2014  read 219467 cycles
Sat Dec 27 03:55:18 2014  cycles contain 673768 unique relations
Sat Dec 27 03:55:26 2014  read 673768 relations
Sat Dec 27 03:55:27 2014  multiplying 673768 relations
Sat Dec 27 03:55:40 2014  multiply complete, coefficients have about 20.91 million bits
Sat Dec 27 03:55:40 2014  initial square root is modulo 1013891
Sat Dec 27 03:55:57 2014  sqrtTime: 78
--
n: 64481952723688053591306849036176097790946247772634566115232547124292841174725998659906396798061973760809062179631694703571243515133035092824198691269
m: 10000000000000000000000000000000
deg: 5
c5: 1000
c0: 149
skew: 0.68
# Murphy_E = 5.146e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:22:19 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 19 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:01 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 1 秒 (日本時間)

10159+1493

c154

name 名前Serge Batalov
date 日付December 21, 2014 01:57:37 UTC 2014 年 12 月 21 日 (日) 10 時 57 分 37 秒 (日本時間)
composite number 合成数
4375199618482593268317867002681997366129829673478852472644064385437585589842536565730811468273239966573474914792987430051496099509540122768101294621567109<154>
prime factors 素因数
781614203580990267382766009<27>
5597645997779310342642270871413007632405650087331827635627192891271013606078959092954695689417854895595234516978038015996377901<127>
factorization results 素因数分解の結果
Input number is 4375199618482593268317867002681997366129829673478852472644064385437585589842536565730811468273239966573474914792987430051496099509540122768101294621567109 (154 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=890875961
Step 1 took 9105ms
Step 2 took 7171ms
********** Factor found in step 2: 781614203580990267382766009
Found probable prime factor of 27 digits: 781614203580990267382766009
Probable prime cofactor 5597645997779310342642270871413007632405650087331827635627192891271013606078959092954695689417854895595234516978038015996377901 has 127 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:22:20 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 20 秒 (日本時間)

10163+1493

c160

name 名前Robert Backstrom
date 日付January 4, 2015 08:55:04 UTC 2015 年 1 月 4 日 (日) 17 時 55 分 4 秒 (日本時間)
composite number 合成数
2413709872073376780111030654115375331885107410089307265266714940864108134202268887279748974173304368814868452811972000965483948829350712044412261646150132754043<160>
prime factors 素因数
1618473701653393437904630413901455578020426767604178984021<58>
1491349454493816846346223388737203840274575636497395713331947927187582357495727869315808536356165994383<103>
factorization results 素因数分解の結果
Number: n
N=2413709872073376780111030654115375331885107410089307265266714940864108134202268887279748974173304368814868452811972000965483948829350712044412261646150132754043
  ( 160 digits)
SNFS difficulty: 163 digits.
Divisors found:

Sun Jan  4 19:52:03 2015  prp58 factor: 1618473701653393437904630413901455578020426767604178984021
Sun Jan  4 19:52:03 2015  prp103 factor: 1491349454493816846346223388737203840274575636497395713331947927187582357495727869315808536356165994383
Sun Jan  4 19:52:03 2015  elapsed time 00:10:44 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.291).
Factorization parameters were as follows:
#
#  N = 10^163+149 3(161)83
#
n: 2413709872073376780111030654115375331885107410089307265266714940864108134202268887279748974173304368814868452811972000965483948829350712044412261646150132754043
m: 100000000000000000000000000000000
deg: 5
c5: 1000
c0: 149
skew: 0.68
# Murphy_E = 3.296e-10
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 1800000)
Primes: RFBsize:256726, AFBsize:257146,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 2306774 hash collisions in 15951832 relations (14476990 unique)
Msieve: matrix is 541309 x 541536 (149.9 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0hrs 7min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 38sec.

Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038918] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] Memory: 16059668K/16661464K available (7375K kernel code, 1160K rwdata, 3228K rodata, 1468K init, 1504K bss, 601796K reserved)
[    1.117641] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.23 BogoMIPS (lpj=3600117)
[    0.136797] smpboot: Total of 8 processors activated (57601.87 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:08 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 8 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:30 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 30 秒 (日本時間)

10164+1493

c142

name 名前Jo Yeong Uk
date 日付January 9, 2015 14:44:13 UTC 2015 年 1 月 9 日 (金) 23 時 44 分 13 秒 (日本時間)
composite number 合成数
1101938763298217871608675829345469026164953545511840490878484169140141908084169261699897205322645293687882063280613444533936513549838219072843<142>
prime factors 素因数
3409548844249402541070380104406662809784987328594517808965979<61>
323191956952534854576556034388137188016984268889339212665523272343873759132292817<81>
factorization results 素因数分解の結果
Number: 33383_164
N=1101938763298217871608675829345469026164953545511840490878484169140141908084169261699897205322645293687882063280613444533936513549838219072843
  ( 142 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=3409548844249402541070380104406662809784987328594517808965979
 r2=323191956952534854576556034388137188016984268889339212665523272343873759132292817
Version: 
Total time: 12.12 hours.
Scaled time: 63.12 units (timescale=5.209).
Factorization parameters were as follows:
n: 1101938763298217871608675829345469026164953545511840490878484169140141908084169261699897205322645293687882063280613444533936513549838219072843
m: 1000000000000000000000000000000000
deg: 5
c5: 1
c0: 1490
skew: 4.31
# Murphy_E = 3.862e-10
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2000000, 3700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9632164
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 704827 x 705075
Total sieving time: 11.11 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 0.50 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 12.12 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:22:20 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 20 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:01 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 1 秒 (日本時間)

10168+1493

c127

name 名前Pierre Jammes
date 日付December 29, 2014 12:06:04 UTC 2014 年 12 月 29 日 (月) 21 時 6 分 4 秒 (日本時間)
composite number 合成数
1795104580559576419033703486421964972682209497138028597386289453767599554284532942845676894060596782330971858525859542622371619<127>
prime factors 素因数
6881407175784829737837380443364816909<37>
260863008786403250761919977798073514499503440288301370626339047443312054533865403302238191<90>
factorization results 素因数分解の結果
Using B1=11000000, B2=144269945836, polynomial Dickson(12), sigma=2400954984
Step 1 took 71172ms
Step 2 took 57120ms
********** Factor found in step 2: 6881407175784829737837380443364816909
Found probable prime factor of 37 digits: 6881407175784829737837380443364816909
Probable prime cofactor 260863008786403250761919977798073514499503440288301370626339047443312054533865403302238191 has 90 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Debian 8

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:22:21 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 21 秒 (日本時間)

10170+1493

c158

name 名前Ignacio Santos
date 日付February 14, 2015 10:09:07 UTC 2015 年 2 月 14 日 (土) 19 時 9 分 7 秒 (日本時間)
composite number 合成数
17372627730443681985877045385153928552814197841989762998993558824141206984191049362493650705483510862014538429237475745676876829327505214872872183898504347819<158>
prime factors 素因数
1294870600517797227969570235364255591788001<43>
13416497156933408596160347052587607625098362707201245167062850129588366626149961383166334405269679600876723529975819<116>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2888765948
Step 1 took 12375ms
Step 2 took 7141ms
********** Factor found in step 2: 1294870600517797227969570235364255591788001
Found probable prime factor of 43 digits: 1294870600517797227969570235364255591788001
Probable prime cofactor 13416497156933408596160347052587607625098362707201245167062850129588366626149961383166334405269679600876723529975819 has 116 digits
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:22:21 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 21 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:01 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 1 秒 (日本時間)

10175+1493

c164

name 名前Cyp
date 日付May 7, 2015 06:03:23 UTC 2015 年 5 月 7 日 (木) 15 時 3 分 23 秒 (日本時間)
composite number 合成数
30272205337405905161349965822921897628352258988601965398273608942861994656405052042800718276216785946027638018550829886684257970575707745691186310117925019921002141<164>
prime factors 素因数
1811905528400837415261758542734577805331097<43>
3268910756302636774004672699497543988579618040270773<52>
5110994884672852241592324572743669545102088503688073235846301954221361<70>
factorization results 素因数分解の結果
05/06/15 08:10:43 v1.34.3, 
05/06/15 08:10:43 v1.34.3, ****************************
05/06/15 08:10:43 v1.34.3, Starting factorization of 30272205337405905161349965822921897628352258988601965398273608942861994656405052042800718276216785946027638018550829886684257970575707745691186310117925019921002141
05/06/15 08:10:43 v1.34.3, using pretesting plan: none
05/06/15 08:10:43 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
05/06/15 08:10:43 v1.34.3, ****************************
05/06/15 08:10:43 v1.34.3, nfs: commencing nfs on c164: 30272205337405905161349965822921897628352258988601965398273608942861994656405052042800718276216785946027638018550829886684257970575707745691186310117925019921002141
05/06/15 08:10:43 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
05/06/15 08:10:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/06/15 08:15:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
[28 lines snipped]
05/06/15 10:50:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/06/15 10:56:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/06/15 20:22:18 v1.34.3, 
05/06/15 20:22:18 v1.34.3, ****************************
05/06/15 20:22:18 v1.34.3, Starting factorization of 30272205337405905161349965822921897628352258988601965398273608942861994656405052042800718276216785946027638018550829886684257970575707745691186310117925019921002141
05/06/15 20:22:18 v1.34.3, using pretesting plan: none
05/06/15 20:22:18 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
05/06/15 20:22:18 v1.34.3, ****************************
05/06/15 20:22:18 v1.34.3, nfs: previous data file found - commencing search for last special-q
05/06/15 20:22:23 v1.34.3, nfs: parsing special-q from .dat file
05/06/15 20:22:23 v1.34.3, nfs: commencing nfs on c164: 30272205337405905161349965822921897628352258988601965398273608942861994656405052042800718276216785946027638018550829886684257970575707745691186310117925019921002141
05/06/15 20:22:23 v1.34.3, nfs: resuming with filtering
05/06/15 20:22:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/06/15 20:27:49 v1.34.3, nfs: commencing lattice sieving with 8 threads
[59 lines snipped]
05/07/15 02:02:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/07/15 02:07:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/07/15 02:12:54 v1.34.3, nfs: commencing msieve filtering
05/07/15 02:16:42 v1.34.3, nfs: commencing msieve linear algebra
05/07/15 02:30:17 v1.34.3, nfs: commencing msieve sqrt
05/07/15 02:32:02 v1.34.3, prp70 = 5110994884672852241592324572743669545102088503688073235846301954221361
05/07/15 02:32:02 v1.34.3, C94 = 5922957471193710150072862360125419780025300135374032738817067601317269035440217830272797127981
05/07/15 02:32:02 v1.34.3, NFS elapsed time = 22183.8276 seconds.
05/07/15 02:32:02 v1.34.3, 
05/07/15 02:32:02 v1.34.3, 
05/07/15 02:32:02 v1.34.3, 
05/07/15 02:32:02 v1.34.3, ****************************
05/07/15 02:32:02 v1.34.3, Starting factorization of 5922957471193710150072862360125419780025300135374032738817067601317269035440217830272797127981
05/07/15 02:32:02 v1.34.3, using pretesting plan: normal
05/07/15 02:32:02 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
05/07/15 02:32:02 v1.34.3, ****************************
05/07/15 02:32:02 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C94
05/07/15 02:32:02 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C94
05/07/15 02:32:02 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C94
05/07/15 02:32:02 v1.34.3, pm1: starting B1 = 150K, B2 = gmp-ecm default on C94
05/07/15 02:32:02 v1.34.3, current ECM pretesting depth: 0.00
05/07/15 02:32:02 v1.34.3, scheduled 30 curves at B1=2000 toward target pretesting depth of 28.92
05/07/15 02:32:02 v1.34.3, Finished 30 curves using Lenstra ECM method on C94 input, B1=2K, B2=gmp-ecm default
05/07/15 02:32:02 v1.34.3, current ECM pretesting depth: 15.18
05/07/15 02:32:02 v1.34.3, scheduled 74 curves at B1=11000 toward target pretesting depth of 28.92
05/07/15 02:32:04 v1.34.3, Finished 74 curves using Lenstra ECM method on C94 input, B1=11K, B2=gmp-ecm default
05/07/15 02:32:04 v1.34.3, current ECM pretesting depth: 20.24
05/07/15 02:32:04 v1.34.3, scheduled 214 curves at B1=50000 toward target pretesting depth of 28.92
05/07/15 02:32:26 v1.34.3, Finished 214 curves using Lenstra ECM method on C94 input, B1=50K, B2=gmp-ecm default
05/07/15 02:32:26 v1.34.3, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C94
05/07/15 02:32:28 v1.34.3, current ECM pretesting depth: 25.33
05/07/15 02:32:28 v1.34.3, scheduled 309 curves at B1=250000 toward target pretesting depth of 28.92
05/07/15 02:34:46 v1.34.3, Finished 309 curves using Lenstra ECM method on C94 input, B1=250K, B2=gmp-ecm default
05/07/15 02:34:46 v1.34.3, final ECM pretested depth: 28.93
05/07/15 02:34:46 v1.34.3, scheduler: switching to sieve method
05/07/15 02:34:46 v1.34.3, starting SIQS on c94: 5922957471193710150072862360125419780025300135374032738817067601317269035440217830272797127981
05/07/15 02:34:46 v1.34.3, random seeds: 1751435526, 820076891
05/07/15 02:34:46 v1.34.3, ==== sieve params ====
05/07/15 02:34:46 v1.34.3, n = 96 digits, 317 bits
05/07/15 02:34:46 v1.34.3, factor base: 88816 primes (max prime = 2415031)
05/07/15 02:34:46 v1.34.3, single large prime cutoff: 313954030 (130 * pmax)
05/07/15 02:34:46 v1.34.3, double large prime range from 43 to 51 bits
05/07/15 02:34:46 v1.34.3, double large prime cutoff: 1969513272596144
05/07/15 02:34:46 v1.34.3, allocating 9 large prime slices of factor base
05/07/15 02:34:46 v1.34.3, buckets hold 2048 elements
05/07/15 02:34:46 v1.34.3, using 32k sieve core
05/07/15 02:34:46 v1.34.3, sieve interval: 18 blocks of size 32768
05/07/15 02:34:46 v1.34.3, polynomial A has ~ 12 factors
05/07/15 02:34:46 v1.34.3, using multiplier of 29
05/07/15 02:34:46 v1.34.3, using SPV correction of 20 bits, starting at offset 33
05/07/15 02:34:46 v1.34.3, using SSE2 for trial division and x128 sieve scanning
05/07/15 02:34:46 v1.34.3, using SSE4.1 enabled 32k sieve core
05/07/15 02:34:46 v1.34.3, using SSE2 for resieving 13-16 bit primes
05/07/15 02:34:46 v1.34.3, trial factoring cutoff at 101 bits
05/07/15 02:34:46 v1.34.3, ==== sieving started ( 8 threads) ====
05/07/15 02:44:00 v1.34.3, 90925 relations found: 25178 full + 65747 from 1163294 partial, using 879780 polys (859 A polys)
05/07/15 02:44:00 v1.34.3, on average, sieving found 1.35 rels/poly and 2145.39 rels/sec
05/07/15 02:44:00 v1.34.3, trial division touched 49532082 sieve locations out of 0
05/07/15 02:44:00 v1.34.3, ==== post processing stage (msieve-1.38) ====
05/07/15 02:44:00 v1.34.3, begin with 1188472 relations
05/07/15 02:44:01 v1.34.3, reduce to 219373 relations in 10 passes
05/07/15 02:44:01 v1.34.3, recovered 219373 relations
05/07/15 02:44:01 v1.34.3, recovered 194150 polynomials
05/07/15 02:44:01 v1.34.3, freed 49 duplicate relations
05/07/15 02:44:01 v1.34.3, attempting to build 90876 cycles
05/07/15 02:44:01 v1.34.3, found 90876 cycles in 6 passes
05/07/15 02:44:01 v1.34.3, distribution of cycle lengths:
05/07/15 02:44:01 v1.34.3,    length 1 : 25176
05/07/15 02:44:01 v1.34.3,    length 2 : 18308
05/07/15 02:44:01 v1.34.3,    length 3 : 16099
05/07/15 02:44:01 v1.34.3,    length 4 : 11892
05/07/15 02:44:01 v1.34.3,    length 5 : 8047
05/07/15 02:44:01 v1.34.3,    length 6 : 4946
05/07/15 02:44:01 v1.34.3,    length 7 : 3000
05/07/15 02:44:01 v1.34.3,    length 9+: 3408
05/07/15 02:44:01 v1.34.3, largest cycle: 19 relations
05/07/15 02:44:02 v1.34.3, matrix is 88816 x 90876 (24.6 MB) with weight 5733123 (63.09/col)
05/07/15 02:44:02 v1.34.3, sparse part has weight 5733123 (63.09/col)
05/07/15 02:44:02 v1.34.3, filtering completed in 3 passes
05/07/15 02:44:02 v1.34.3, matrix is 81932 x 81996 (21.9 MB) with weight 5087237 (62.04/col)
05/07/15 02:44:02 v1.34.3, sparse part has weight 5087237 (62.04/col)
05/07/15 02:44:02 v1.34.3, saving the first 48 matrix rows for later
05/07/15 02:44:02 v1.34.3, matrix is 81884 x 81996 (18.9 MB) with weight 4462873 (54.43/col)
05/07/15 02:44:02 v1.34.3, sparse part has weight 4138771 (50.48/col)
05/07/15 02:44:02 v1.34.3, matrix includes 64 packed rows
05/07/15 02:44:02 v1.34.3, using block size 32798 for processor cache size 8192 kB
05/07/15 02:44:02 v1.34.3, commencing Lanczos iteration
05/07/15 02:44:02 v1.34.3, memory use: 14.9 MB
05/07/15 02:44:20 v1.34.3, lanczos halted after 1297 iterations (dim = 81884)
05/07/15 02:44:20 v1.34.3, recovered 18 nontrivial dependencies
05/07/15 02:44:21 v1.34.3, prp52 = 3268910756302636774004672699497543988579618040270773
05/07/15 02:44:21 v1.34.3, prp43 = 1811905528400837415261758542734577805331097
05/07/15 02:44:21 v1.34.3, Lanczos elapsed time = 19.6269 seconds.
05/07/15 02:44:21 v1.34.3, Sqrt elapsed time = 0.7570 seconds.
05/07/15 02:44:21 v1.34.3, SIQS elapsed time = 574.3560 seconds.
05/07/15 02:44:21 v1.34.3, 
05/07/15 02:44:21 v1.34.3, 
05/07/15 02:44:21 v1.34.3, Total factoring time = 738.5867 seconds
05/07/15 02:44:21 v1.34.3, Total factoring time = 22922.4435 seconds
--
Thu May  7 02:12:54 2015  
Thu May  7 02:12:54 2015  commencing relation filtering
Thu May  7 02:12:54 2015  estimated available RAM is 15987.3 MB
Thu May  7 02:12:54 2015  commencing duplicate removal, pass 1
Thu May  7 02:13:53 2015  found 3034977 hash collisions in 21081413 relations
Thu May  7 02:14:10 2015  added 694083 free relations
Thu May  7 02:14:10 2015  commencing duplicate removal, pass 2
Thu May  7 02:14:28 2015  found 2122126 duplicates and 19653370 unique relations
Thu May  7 02:14:28 2015  memory use: 82.6 MB
Thu May  7 02:14:28 2015  reading ideals above 720000
Thu May  7 02:14:28 2015  commencing singleton removal, initial pass
Thu May  7 02:15:50 2015  memory use: 376.5 MB
Thu May  7 02:15:50 2015  reading all ideals from disk
Thu May  7 02:15:51 2015  memory use: 583.4 MB
Thu May  7 02:15:51 2015  keeping 19180342 ideals with weight <= 200, target excess is 116084
Thu May  7 02:15:52 2015  commencing in-memory singleton removal
Thu May  7 02:15:53 2015  begin with 19653370 relations and 19180342 unique ideals
Thu May  7 02:16:00 2015  reduce to 10269029 relations and 7777958 ideals in 12 passes
Thu May  7 02:16:00 2015  max relations containing the same ideal: 129
Thu May  7 02:16:02 2015  removing 1509040 relations and 1109040 ideals in 400000 cliques
Thu May  7 02:16:03 2015  commencing in-memory singleton removal
Thu May  7 02:16:03 2015  begin with 8759989 relations and 7777958 unique ideals
Thu May  7 02:16:06 2015  reduce to 8590028 relations and 6490691 ideals in 8 passes
Thu May  7 02:16:06 2015  max relations containing the same ideal: 111
Thu May  7 02:16:08 2015  removing 1230179 relations and 830179 ideals in 400000 cliques
Thu May  7 02:16:09 2015  commencing in-memory singleton removal
Thu May  7 02:16:09 2015  begin with 7359849 relations and 6490691 unique ideals
Thu May  7 02:16:11 2015  reduce to 7241746 relations and 5536944 ideals in 7 passes
Thu May  7 02:16:11 2015  max relations containing the same ideal: 102
Thu May  7 02:16:13 2015  removing 1157828 relations and 757828 ideals in 400000 cliques
Thu May  7 02:16:14 2015  commencing in-memory singleton removal
Thu May  7 02:16:14 2015  begin with 6083918 relations and 5536944 unique ideals
Thu May  7 02:16:16 2015  reduce to 5971339 relations and 4660802 ideals in 7 passes
Thu May  7 02:16:16 2015  max relations containing the same ideal: 89
Thu May  7 02:16:17 2015  removing 1125415 relations and 725415 ideals in 400000 cliques
Thu May  7 02:16:17 2015  commencing in-memory singleton removal
Thu May  7 02:16:18 2015  begin with 4845924 relations and 4660802 unique ideals
Thu May  7 02:16:19 2015  reduce to 4724561 relations and 3806907 ideals in 7 passes
Thu May  7 02:16:19 2015  max relations containing the same ideal: 75
Thu May  7 02:16:20 2015  removing 1106498 relations and 706498 ideals in 400000 cliques
Thu May  7 02:16:21 2015  commencing in-memory singleton removal
Thu May  7 02:16:21 2015  begin with 3618063 relations and 3806907 unique ideals
Thu May  7 02:16:22 2015  reduce to 3475557 relations and 2947481 ideals in 7 passes
Thu May  7 02:16:22 2015  max relations containing the same ideal: 62
Thu May  7 02:16:23 2015  removing 1080250 relations and 686832 ideals in 393418 cliques
Thu May  7 02:16:23 2015  commencing in-memory singleton removal
Thu May  7 02:16:23 2015  begin with 2395307 relations and 2947481 unique ideals
Thu May  7 02:16:23 2015  reduce to 2212363 relations and 2059433 ideals in 8 passes
Thu May  7 02:16:23 2015  max relations containing the same ideal: 46
Thu May  7 02:16:24 2015  removing 95146 relations and 76874 ideals in 18272 cliques
Thu May  7 02:16:24 2015  commencing in-memory singleton removal
Thu May  7 02:16:24 2015  begin with 2117217 relations and 2059433 unique ideals
Thu May  7 02:16:25 2015  reduce to 2113846 relations and 1979154 ideals in 6 passes
Thu May  7 02:16:25 2015  max relations containing the same ideal: 43
Thu May  7 02:16:25 2015  relations with 0 large ideals: 2841
Thu May  7 02:16:25 2015  relations with 1 large ideals: 2733
Thu May  7 02:16:25 2015  relations with 2 large ideals: 37138
Thu May  7 02:16:25 2015  relations with 3 large ideals: 182334
Thu May  7 02:16:25 2015  relations with 4 large ideals: 450285
Thu May  7 02:16:25 2015  relations with 5 large ideals: 612576
Thu May  7 02:16:25 2015  relations with 6 large ideals: 511911
Thu May  7 02:16:25 2015  relations with 7+ large ideals: 314028
Thu May  7 02:16:25 2015  commencing 2-way merge
Thu May  7 02:16:25 2015  reduce to 1353774 relation sets and 1219082 unique ideals
Thu May  7 02:16:25 2015  commencing full merge
Thu May  7 02:16:37 2015  memory use: 152.8 MB
Thu May  7 02:16:37 2015  found 711548 cycles, need 693282
Thu May  7 02:16:37 2015  weight of 693282 cycles is about 48846099 (70.46/cycle)
Thu May  7 02:16:37 2015  distribution of cycle lengths:
Thu May  7 02:16:37 2015  1 relations: 56180
Thu May  7 02:16:37 2015  2 relations: 69247
Thu May  7 02:16:37 2015  3 relations: 78144
Thu May  7 02:16:37 2015  4 relations: 79877
Thu May  7 02:16:37 2015  5 relations: 77555
Thu May  7 02:16:37 2015  6 relations: 70417
Thu May  7 02:16:37 2015  7 relations: 61767
Thu May  7 02:16:37 2015  8 relations: 50742
Thu May  7 02:16:37 2015  9 relations: 41027
Thu May  7 02:16:37 2015  10+ relations: 108326
Thu May  7 02:16:37 2015  heaviest cycle: 18 relations
Thu May  7 02:16:37 2015  commencing cycle optimization
Thu May  7 02:16:38 2015  start with 4039693 relations
Thu May  7 02:16:41 2015  pruned 130850 relations
Thu May  7 02:16:41 2015  memory use: 127.8 MB
Thu May  7 02:16:41 2015  distribution of cycle lengths:
Thu May  7 02:16:41 2015  1 relations: 56180
Thu May  7 02:16:41 2015  2 relations: 70941
Thu May  7 02:16:41 2015  3 relations: 81267
Thu May  7 02:16:41 2015  4 relations: 82910
Thu May  7 02:16:41 2015  5 relations: 80904
Thu May  7 02:16:41 2015  6 relations: 72951
Thu May  7 02:16:41 2015  7 relations: 63395
Thu May  7 02:16:41 2015  8 relations: 51049
Thu May  7 02:16:41 2015  9 relations: 40250
Thu May  7 02:16:41 2015  10+ relations: 93435
Thu May  7 02:16:41 2015  heaviest cycle: 18 relations
Thu May  7 02:16:42 2015  RelProcTime: 228
Thu May  7 02:16:42 2015  
Thu May  7 02:16:42 2015  commencing linear algebra
Thu May  7 02:16:42 2015  read 693282 cycles
Thu May  7 02:16:43 2015  cycles contain 2043144 unique relations
Thu May  7 02:17:01 2015  read 2043144 relations
Thu May  7 02:17:03 2015  using 20 quadratic characters above 268430400
Thu May  7 02:17:09 2015  building initial matrix
Thu May  7 02:17:21 2015  memory use: 261.2 MB
Thu May  7 02:17:21 2015  read 693282 cycles
Thu May  7 02:17:21 2015  matrix is 693270 x 693282 (206.8 MB) with weight 61727623 (89.04/col)
Thu May  7 02:17:21 2015  sparse part has weight 46597949 (67.21/col)
Thu May  7 02:17:24 2015  filtering completed in 2 passes
Thu May  7 02:17:24 2015  matrix is 692940 x 693060 (206.8 MB) with weight 61716385 (89.05/col)
Thu May  7 02:17:24 2015  sparse part has weight 46591746 (67.23/col)
Thu May  7 02:17:26 2015  matrix starts at (0, 0)
Thu May  7 02:17:26 2015  matrix is 692940 x 693060 (206.8 MB) with weight 61716385 (89.05/col)
Thu May  7 02:17:26 2015  sparse part has weight 46591746 (67.23/col)
Thu May  7 02:17:26 2015  saving the first 48 matrix rows for later
Thu May  7 02:17:26 2015  matrix includes 64 packed rows
Thu May  7 02:17:26 2015  matrix is 692892 x 693060 (195.8 MB) with weight 48871107 (70.51/col)
Thu May  7 02:17:26 2015  sparse part has weight 44391481 (64.05/col)
Thu May  7 02:17:26 2015  using block size 65536 for processor cache size 8192 kB
Thu May  7 02:17:27 2015  commencing Lanczos iteration (8 threads)
Thu May  7 02:17:27 2015  memory use: 190.2 MB
Thu May  7 02:17:31 2015  linear algebra at 0.4%, ETA 0h11m
Thu May  7 02:30:16 2015  lanczos halted after 10956 iterations (dim = 692854)
Thu May  7 02:30:17 2015  recovered 25 nontrivial dependencies
Thu May  7 02:30:17 2015  BLanczosTime: 815
Thu May  7 02:30:17 2015  
Thu May  7 02:30:17 2015  commencing square root phase
Thu May  7 02:30:17 2015  reading relations for dependency 1
Thu May  7 02:30:17 2015  read 347336 cycles
Thu May  7 02:30:17 2015  cycles contain 1021662 unique relations
Thu May  7 02:30:33 2015  read 1021662 relations
Thu May  7 02:30:36 2015  multiplying 1021662 relations
Thu May  7 02:30:50 2015  multiply complete, coefficients have about 23.11 million bits
Thu May  7 02:30:50 2015  initial square root is modulo 4344601
Thu May  7 02:31:09 2015  GCD is N, no factor found
Thu May  7 02:31:09 2015  reading relations for dependency 2
Thu May  7 02:31:09 2015  read 345979 cycles
Thu May  7 02:31:10 2015  cycles contain 1020996 unique relations
Thu May  7 02:31:26 2015  read 1020996 relations
Thu May  7 02:31:29 2015  multiplying 1020996 relations
Thu May  7 02:31:43 2015  multiply complete, coefficients have about 23.10 million bits
Thu May  7 02:31:43 2015  initial square root is modulo 4301261
Thu May  7 02:32:02 2015  sqrtTime: 105
--
n: 30272205337405905161349965822921897628352258988601965398273608942861994656405052042800718276216785946027638018550829886684257970575707745691186310117925019921002141
m: 100000000000000000000000000000000000
deg: 5
c5: 1
c0: 149
skew: 2.72
# Murphy_E = 2.003e-10
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:22 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 22 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:02 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 2 秒 (日本時間)
4511e6498 / 4342CypFebruary 8, 2015 19:15:05 UTC 2015 年 2 月 9 日 (月) 4 時 15 分 5 秒 (日本時間)

10176+1493

c175

name 名前Robert Backstrom
date 日付December 24, 2014 00:15:24 UTC 2014 年 12 月 24 日 (水) 9 時 15 分 24 秒 (日本時間)
composite number 合成数
1149425287356321839080459770114942528735632183908045977011494252873563218390804597701149425287356321839080459770114942528735632183908045977011494252873563218390804597701149427<175>
prime factors 素因数
10262761357916687722390057941879106314582777918075039669381789591892022092901707<80>
111999611729220994502739985887727227579750761521031685222903382441879153627015289144774466387961<96>
factorization results 素因数分解の結果
Number: n
N=1149425287356321839080459770114942528735632183908045977011494252873563218390804597701149425287356321839080459770114942528735632183908045977011494252873563218390804597701149427
  ( 175 digits)
SNFS difficulty: 176 digits.
Divisors found:

Wed Dec 24 11:11:28 2014  prp80 factor: 10262761357916687722390057941879106314582777918075039669381789591892022092901707
Wed Dec 24 11:11:28 2014  prp96 factor: 111999611729220994502739985887727227579750761521031685222903382441879153627015289144774466387961
Wed Dec 24 11:11:28 2014  elapsed time 00:28:14 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.264).
Factorization parameters were as follows:
#
#  N = 10^176+149 3(174)83
#
n: 1149425287356321839080459770114942528735632183908045977011494252873563218390804597701149425287356321839080459770114942528735632183908045977011494252873563218390804597701149427
m: 100000000000000000000000000000000000
deg: 5
c5: 10
c0: 149
skew: 1.72
# Murphy_E = 1.297e-10
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 17000000)
Primes: RFBsize:412849, AFBsize:412781,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 5528065 hash collisions in 36501588 relations (32040124 unique)
Msieve: matrix is 844139 x 844367 (233.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0hrs 19min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 57sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038684] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] Memory: 16059644K/16661464K available (7373K kernel code, 1159K rwdata, 3228K rodata, 1468K init, 1504K bss, 601820K reserved)
[    1.137325] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.13 BogoMIPS (lpj=3600065)
[    0.136532] smpboot: Total of 8 processors activated (57601.04 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:14 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 14 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:36 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 36 秒 (日本時間)

10177+1493

c174

name 名前Robert Backstrom
date 日付December 24, 2014 03:56:52 UTC 2014 年 12 月 24 日 (水) 12 時 56 分 52 秒 (日本時間)
composite number 合成数
243842965130455986344793952694464764691538649109973177273835649841502072665203608875883930748597902950499878078517434772006827603023652767617654230675445013411363082175079249<174>
prime factors 素因数
10713602596864948567701234768210450460404468223553<50>
1760861006467360136286127088953138661481520994731093948002721<61>
12925567545441931843346546492044534209791520735546026253545007473<65>
factorization results 素因数分解の結果
Number: n
N=243842965130455986344793952694464764691538649109973177273835649841502072665203608875883930748597902950499878078517434772006827603023652767617654230675445013411363082175079249
  ( 174 digits)
SNFS difficulty: 177 digits.
Divisors found:

Wed Dec 24 14:43:37 2014  prp50 factor: 10713602596864948567701234768210450460404468223553
Wed Dec 24 14:43:37 2014  prp61 factor: 1760861006467360136286127088953138661481520994731093948002721
Wed Dec 24 14:43:37 2014  prp65 factor: 12925567545441931843346546492044534209791520735546026253545007473
Wed Dec 24 14:43:37 2014  elapsed time 00:33:52 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.264).
Factorization parameters were as follows:
#
#  N = 10^177+149 3(175)83
#
n: 243842965130455986344793952694464764691538649109973177273835649841502072665203608875883930748597902950499878078517434772006827603023652767617654230675445013411363082175079249
m: 100000000000000000000000000000000000
deg: 5
c5: 100
c0: 149
skew: 1.08
# Murphy_E = 9.917e-11
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 8700000)
Primes: RFBsize:425648, AFBsize:425657,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4981650 hash collisions in 28979162 relations (25168792 unique)
Msieve: matrix is 946783 x 947008 (265.7 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0hrs 26min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 12sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038684] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] Memory: 16059644K/16661464K available (7373K kernel code, 1159K rwdata, 3228K rodata, 1468K init, 1504K bss, 601820K reserved)
[    1.137325] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.13 BogoMIPS (lpj=3600065)
[    0.136532] smpboot: Total of 8 processors activated (57601.04 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:15 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 15 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:36 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 36 秒 (日本時間)

10179+1493

c148

name 名前Jo Yeong Uk
date 日付December 2, 2015 23:35:23 UTC 2015 年 12 月 3 日 (木) 8 時 35 分 23 秒 (日本時間)
composite number 合成数
1817731959978463996450426973889435887851544743548344607191055940269435317781308408777500034447608304615726716069583601178250594484126971853186815773<148>
prime factors 素因数
2205754541147254319195786216953508409481835624853961658845210889329<67>
824086237189849556625901320945386450175601968624019420616921124308176790675651437<81>
factorization results 素因数分解の結果
Number: 33383_179
N=1817731959978463996450426973889435887851544743548344607191055940269435317781308408777500034447608304615726716069583601178250594484126971853186815773
  ( 148 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=2205754541147254319195786216953508409481835624853961658845210889329
 r2=824086237189849556625901320945386450175601968624019420616921124308176790675651437
Version: 
Total time: 44.70 hours.
Scaled time: 234.76 units (timescale=5.252).
Factorization parameters were as follows:
n: 1817731959978463996450426973889435887851544743548344607191055940269435317781308408777500034447608304615726716069583601178250594484126971853186815773
m: 1000000000000000000000000000000000000
deg: 5
c5: 1
c0: 1490
skew: 4.31
# Murphy_E = 9.794e-11
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [2800000, 4900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17657574
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1255814 x 1256062
Total sieving time: 41.91 hours.
Total relation processing time: 0.97 hours.
Matrix solve time: 1.75 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,5600000,5600000,28,28,53,53,2.5,2.5,100000
total time: 44.70 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:22 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 22 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:02 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 2 秒 (日本時間)
4511e6750 / 4342Pierre JammesApril 22, 2015 14:13:02 UTC 2015 年 4 月 22 日 (水) 23 時 13 分 2 秒 (日本時間)

10180+1493

c133

name 名前Jo Yeong Uk
date 日付January 2, 2016 15:55:41 UTC 2016 年 1 月 3 日 (日) 0 時 55 分 41 秒 (日本時間)
composite number 合成数
7431251594994624550715319062886506462379267695668074572155336556105303998781306544025992331313002695749890319593096151437660590341327<133>
prime factors 素因数
19639820077452547316961148577169357533058610537351034291332843897<65>
378376765453470562397806081858578823345182637632585390213643129581191<69>
factorization results 素因数分解の結果
Number: 33383_180
N=7431251594994624550715319062886506462379267695668074572155336556105303998781306544025992331313002695749890319593096151437660590341327
  ( 133 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=19639820077452547316961148577169357533058610537351034291332843897
 r2=378376765453470562397806081858578823345182637632585390213643129581191
Version: 
Total time: 36.63 hours.
Scaled time: 192.54 units (timescale=5.256).
Factorization parameters were as follows:
n: 7431251594994624550715319062886506462379267695668074572155336556105303998781306544025992331313002695749890319593096151437660590341327
m: 1000000000000000000000000000000000000
deg: 5
c5: 1
c0: 149
skew: 2.72
# Murphy_E = 1.261e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [2800000, 4500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17915345
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1071745 x 1071993
Total sieving time: 34.55 hours.
Total relation processing time: 0.80 hours.
Matrix solve time: 1.15 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,5600000,5600000,28,28,53,53,2.5,2.5,100000
total time: 36.63 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:22 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 22 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:02 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 2 秒 (日本時間)
4511e643421020Pierre JammesMarch 12, 2015 06:52:35 UTC 2015 年 3 月 12 日 (木) 15 時 52 分 35 秒 (日本時間)
1052KTakahashiJuly 15, 2015 12:52:49 UTC 2015 年 7 月 15 日 (水) 21 時 52 分 49 秒 (日本時間)
2270KTakahashiJuly 16, 2015 12:14:55 UTC 2015 年 7 月 16 日 (木) 21 時 14 分 55 秒 (日本時間)

10181+1493

c162

name 名前KTakahashi
date 日付May 16, 2015 05:18:03 UTC 2015 年 5 月 16 日 (土) 14 時 18 分 3 秒 (日本時間)
composite number 合成数
166355193564490204389421863530098685519674757935893642992138254146278102641643363272468885357835785950898323972295738884643927955682064012503546728744909354984639<162>
prime factors 素因数
7311797955525405999093570245336031964231<40>
22751612472931956269720436309060913894578185705268237458134005645468833274974270411633192440757080158351951707636144461769<122>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 166355193564490204389421863530098685519674757935893642992138254146278102641643363272468885357835785950898323972295738884643927955682064012503546728744909354984639 (162 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1058775214
Step 1 took 50997ms
Step 2 took 19921ms
********** Factor found in step 2: 7311797955525405999093570245336031964231
Found probable prime factor of 40 digits: 7311797955525405999093570245336031964231
Probable prime cofactor 22751612472931956269720436309060913894578185705268237458134005645468833274974270411633192440757080158351951707636144461769 has 122 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:22:23 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 23 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:03 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 3 秒 (日本時間)

10182+1493

c179

name 名前Robert Backstrom
date 日付December 26, 2014 01:26:32 UTC 2014 年 12 月 26 日 (金) 10 時 26 分 32 秒 (日本時間)
composite number 合成数
69589422407794015309672929714683368128044537230340988169798190675017397355601948503827418232428670842032011134307585247042449547668754349338900487125956854558107167710508002783577<179>
prime factors 素因数
78943131774123330013900623480946688444323642937984394472643611401904649853817471<80>
881513322867748764103016411260012893553541154930819660955754581200815297996538732791777494778011687<99>
factorization results 素因数分解の結果
Number: n
N=69589422407794015309672929714683368128044537230340988169798190675017397355601948503827418232428670842032011134307585247042449547668754349338900487125956854558107167710508002783577
  ( 179 digits)
SNFS difficulty: 182 digits.
Divisors found:

Fri Dec 26 12:20:42 2014  prp80 factor: 78943131774123330013900623480946688444323642937984394472643611401904649853817471
Fri Dec 26 12:20:42 2014  prp99 factor: 881513322867748764103016411260012893553541154930819660955754581200815297996538732791777494778011687
Fri Dec 26 12:20:42 2014  elapsed time 00:34:11 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.278).
Factorization parameters were as follows:
#
#  N = 10^182+149 3(180)83
#
n: 69589422407794015309672929714683368128044537230340988169798190675017397355601948503827418232428670842032011134307585247042449547668754349338900487125956854558107167710508002783577
m: 1000000000000000000000000000000000000
deg: 5
c5: 100
c0: 149
skew: 1.08
# Murphy_E = 6.236e-11
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 12200000)
Primes: RFBsize:514565, AFBsize:514692,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 5088245 hash collisions in 33938950 relations (30578280 unique)
Msieve: matrix is 920210 x 920435 (257.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0hrs 25min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 1sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038914] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] Memory: 16059668K/16661464K available (7375K kernel code, 1160K rwdata, 3228K rodata, 1468K init, 1504K bss, 601796K reserved)
[    1.131637] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.29 BogoMIPS (lpj=3600149)
[    0.136791] smpboot: Total of 8 processors activated (57602.38 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:19 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 19 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:40 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 40 秒 (日本時間)

10187+1493

c177

name 名前LegionMammal978
date 日付February 16, 2017 11:44:33 UTC 2017 年 2 月 16 日 (木) 20 時 44 分 33 秒 (日本時間)
composite number 合成数
281624809022088606071316190647757758202893254321953237730642119527578090174432330089777412994720047697775548761723337899269330665349214770368822501591691531221782481689410469533<177>
prime factors 素因数
557082057683262467349277986253852040698834649540513<51>
505535594151572375411167879690598674471779768513119717387997923987481091814018313331621373596953639400616842015626109719004541<126>
factorization results 素因数分解の結果
Wed Feb 15 20:54:39 2017  Msieve v. 1.53 (SVN Unversioned directory)
Wed Feb 15 20:54:39 2017  random seeds: 7eb1d326 41ff4be7
Wed Feb 15 20:54:39 2017  factoring 281624809022088606071316190647757758202893254321953237730642119527578090174432330089777412994720047697775548761723337899269330665349214770368822501591691531221782481689410469533 (177 digits)
Wed Feb 15 20:54:40 2017  no P-1/P+1/ECM available, skipping
Wed Feb 15 20:54:40 2017  commencing number field sieve (177-digit input)
Wed Feb 15 20:54:40 2017  R0: -10000000000000000000000000000000000000
Wed Feb 15 20:54:40 2017  R1: 1
Wed Feb 15 20:54:40 2017  A0: 149
Wed Feb 15 20:54:40 2017  A1: 0
Wed Feb 15 20:54:40 2017  A2: 0
Wed Feb 15 20:54:40 2017  A3: 0
Wed Feb 15 20:54:40 2017  A4: 0
Wed Feb 15 20:54:40 2017  A5: 100
Wed Feb 15 20:54:40 2017  skew 1.08, size 2.801e-13, alpha 1.117, combined = 3.904e-11 rroots = 1
Wed Feb 15 20:54:40 2017  
Wed Feb 15 20:54:40 2017  commencing relation filtering
Wed Feb 15 20:54:40 2017  estimated available RAM is 15929.4 MB
Wed Feb 15 20:54:40 2017  commencing duplicate removal, pass 1
Wed Feb 15 20:57:22 2017  found 3573347 hash collisions in 22603735 relations
Wed Feb 15 20:57:41 2017  added 290 free relations
Wed Feb 15 20:57:41 2017  commencing duplicate removal, pass 2
Wed Feb 15 20:57:47 2017  found 3308097 duplicates and 19295928 unique relations
Wed Feb 15 20:57:47 2017  memory use: 106.6 MB
Wed Feb 15 20:57:47 2017  reading ideals above 720000
Wed Feb 15 20:57:47 2017  commencing singleton removal, initial pass
Wed Feb 15 20:59:46 2017  memory use: 689.0 MB
Wed Feb 15 20:59:47 2017  reading all ideals from disk
Wed Feb 15 20:59:47 2017  memory use: 617.4 MB
Wed Feb 15 20:59:47 2017  keeping 21450236 ideals with weight <= 200, target excess is 115955
Wed Feb 15 20:59:48 2017  commencing in-memory singleton removal
Wed Feb 15 20:59:49 2017  begin with 19295928 relations and 21450236 unique ideals
Wed Feb 15 20:59:58 2017  reduce to 7868688 relations and 7700240 ideals in 20 passes
Wed Feb 15 20:59:58 2017  max relations containing the same ideal: 107
Wed Feb 15 21:00:00 2017  removing 279131 relations and 262161 ideals in 16970 cliques
Wed Feb 15 21:00:00 2017  commencing in-memory singleton removal
Wed Feb 15 21:00:00 2017  begin with 7589557 relations and 7700240 unique ideals
Wed Feb 15 21:00:03 2017  reduce to 7580796 relations and 7429283 ideals in 8 passes
Wed Feb 15 21:00:03 2017  max relations containing the same ideal: 104
Wed Feb 15 21:00:05 2017  removing 200761 relations and 183791 ideals in 16970 cliques
Wed Feb 15 21:00:06 2017  commencing in-memory singleton removal
Wed Feb 15 21:00:06 2017  begin with 7380035 relations and 7429283 unique ideals
Wed Feb 15 21:00:09 2017  reduce to 7375388 relations and 7240832 ideals in 8 passes
Wed Feb 15 21:00:09 2017  max relations containing the same ideal: 101
Wed Feb 15 21:00:10 2017  relations with 0 large ideals: 2852
Wed Feb 15 21:00:10 2017  relations with 1 large ideals: 753
Wed Feb 15 21:00:10 2017  relations with 2 large ideals: 14910
Wed Feb 15 21:00:10 2017  relations with 3 large ideals: 122579
Wed Feb 15 21:00:10 2017  relations with 4 large ideals: 537525
Wed Feb 15 21:00:10 2017  relations with 5 large ideals: 1369944
Wed Feb 15 21:00:10 2017  relations with 6 large ideals: 2163024
Wed Feb 15 21:00:10 2017  relations with 7+ large ideals: 3163801
Wed Feb 15 21:00:10 2017  commencing 2-way merge
Wed Feb 15 21:00:13 2017  reduce to 4301494 relation sets and 4166938 unique ideals
Wed Feb 15 21:00:13 2017  commencing full merge
Wed Feb 15 21:00:58 2017  memory use: 502.1 MB
Wed Feb 15 21:00:58 2017  found 2195773 cycles, need 2185138
Wed Feb 15 21:00:59 2017  weight of 2185138 cycles is about 152994584 (70.02/cycle)
Wed Feb 15 21:00:59 2017  distribution of cycle lengths:
Wed Feb 15 21:00:59 2017  1 relations: 326111
Wed Feb 15 21:00:59 2017  2 relations: 288791
Wed Feb 15 21:00:59 2017  3 relations: 266267
Wed Feb 15 21:00:59 2017  4 relations: 227163
Wed Feb 15 21:00:59 2017  5 relations: 194496
Wed Feb 15 21:00:59 2017  6 relations: 158833
Wed Feb 15 21:00:59 2017  7 relations: 133444
Wed Feb 15 21:00:59 2017  8 relations: 109379
Wed Feb 15 21:00:59 2017  9 relations: 88999
Wed Feb 15 21:00:59 2017  10+ relations: 391655
Wed Feb 15 21:00:59 2017  heaviest cycle: 28 relations
Wed Feb 15 21:00:59 2017  commencing cycle optimization
Wed Feb 15 21:01:01 2017  start with 12616581 relations
Wed Feb 15 21:01:13 2017  pruned 270824 relations
Wed Feb 15 21:01:13 2017  memory use: 424.4 MB
Wed Feb 15 21:01:13 2017  distribution of cycle lengths:
Wed Feb 15 21:01:13 2017  1 relations: 326111
Wed Feb 15 21:01:13 2017  2 relations: 294946
Wed Feb 15 21:01:13 2017  3 relations: 274724
Wed Feb 15 21:01:13 2017  4 relations: 231116
Wed Feb 15 21:01:13 2017  5 relations: 197617
Wed Feb 15 21:01:13 2017  6 relations: 159525
Wed Feb 15 21:01:13 2017  7 relations: 133407
Wed Feb 15 21:01:13 2017  8 relations: 108181
Wed Feb 15 21:01:13 2017  9 relations: 87451
Wed Feb 15 21:01:13 2017  10+ relations: 372060
Wed Feb 15 21:01:13 2017  heaviest cycle: 28 relations
Wed Feb 15 21:01:15 2017  RelProcTime: 395
Wed Feb 15 21:01:16 2017  elapsed time 00:06:37
Wed Feb 15 21:01:16 2017 LatSieveTime: 1123.9
Wed Feb 15 21:01:16 2017 -> Running matrix solving step ...
Wed Feb 15 21:01:16 2017 -> ./msieve -s 33383_187/33383_187.dat -l 33383_187/33383_187.log -i 33383_187/33383_187.ini -nf 33383_187/33383_187.fb -t 6 -nc2
Wed Feb 15 21:01:16 2017  
Wed Feb 15 21:01:16 2017  
Wed Feb 15 21:01:16 2017  Msieve v. 1.53 (SVN Unversioned directory)
Wed Feb 15 21:01:16 2017  random seeds: 1b80e8d6 2631b705
Wed Feb 15 21:01:16 2017  factoring 281624809022088606071316190647757758202893254321953237730642119527578090174432330089777412994720047697775548761723337899269330665349214770368822501591691531221782481689410469533 (177 digits)
Wed Feb 15 21:01:16 2017  no P-1/P+1/ECM available, skipping
Wed Feb 15 21:01:16 2017  commencing number field sieve (177-digit input)
Wed Feb 15 21:01:16 2017  R0: -10000000000000000000000000000000000000
Wed Feb 15 21:01:16 2017  R1: 1
Wed Feb 15 21:01:16 2017  A0: 149
Wed Feb 15 21:01:16 2017  A1: 0
Wed Feb 15 21:01:16 2017  A2: 0
Wed Feb 15 21:01:16 2017  A3: 0
Wed Feb 15 21:01:16 2017  A4: 0
Wed Feb 15 21:01:16 2017  A5: 100
Wed Feb 15 21:01:16 2017  skew 1.08, size 2.801e-13, alpha 1.117, combined = 3.904e-11 rroots = 1
Wed Feb 15 21:01:16 2017  
Wed Feb 15 21:01:16 2017  commencing linear algebra
Wed Feb 15 21:01:17 2017  read 2185138 cycles
Wed Feb 15 21:01:19 2017  cycles contain 7199314 unique relations
Wed Feb 15 21:01:54 2017  read 7199314 relations
Wed Feb 15 21:01:58 2017  using 20 quadratic characters above 4294917295
Wed Feb 15 21:02:26 2017  building initial matrix
Wed Feb 15 21:03:06 2017  memory use: 863.6 MB
Wed Feb 15 21:03:07 2017  read 2185138 cycles
Wed Feb 15 21:03:07 2017  matrix is 2184958 x 2185138 (655.7 MB) with weight 190684694 (87.26/col)
Wed Feb 15 21:03:07 2017  sparse part has weight 147860977 (67.67/col)
Wed Feb 15 21:03:19 2017  filtering completed in 2 passes
Wed Feb 15 21:03:20 2017  matrix is 2182310 x 2182488 (655.5 MB) with weight 190594582 (87.33/col)
Wed Feb 15 21:03:20 2017  sparse part has weight 147826801 (67.73/col)
Wed Feb 15 21:03:24 2017  matrix starts at (0, 0)
Wed Feb 15 21:03:24 2017  matrix is 2182310 x 2182488 (655.5 MB) with weight 190594582 (87.33/col)
Wed Feb 15 21:03:24 2017  sparse part has weight 147826801 (67.73/col)
Wed Feb 15 21:03:24 2017  saving the first 48 matrix rows for later
Wed Feb 15 21:03:24 2017  matrix includes 64 packed rows
Wed Feb 15 21:03:25 2017  matrix is 2182262 x 2182488 (621.5 MB) with weight 152672714 (69.95/col)
Wed Feb 15 21:03:25 2017  sparse part has weight 141103255 (64.65/col)
Wed Feb 15 21:03:25 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Wed Feb 15 21:03:29 2017  commencing Lanczos iteration (6 threads)
Wed Feb 15 21:03:29 2017  memory use: 502.1 MB
Wed Feb 15 21:03:35 2017  linear algebra at 0.1%, ETA 2h 0m
Wed Feb 15 21:03:36 2017  checkpointing every 1220000 dimensions
Wed Feb 15 23:06:41 2017  lanczos halted after 34510 iterations (dim = 2182258)
Wed Feb 15 23:06:43 2017  recovered 36 nontrivial dependencies
Wed Feb 15 23:06:43 2017  BLanczosTime: 7527
Wed Feb 15 23:06:43 2017  elapsed time 02:05:27
Wed Feb 15 23:06:43 2017 -> Running square root step ...
Wed Feb 15 23:06:43 2017 -> ./msieve -s 33383_187/33383_187.dat -l 33383_187/33383_187.log -i 33383_187/33383_187.ini -nf 33383_187/33383_187.fb -t 6 -nc3
Wed Feb 15 23:06:43 2017  
Wed Feb 15 23:06:43 2017  
Wed Feb 15 23:06:43 2017  Msieve v. 1.53 (SVN Unversioned directory)
Wed Feb 15 23:06:43 2017  random seeds: 39438f6a d66fb992
Wed Feb 15 23:06:43 2017  factoring 281624809022088606071316190647757758202893254321953237730642119527578090174432330089777412994720047697775548761723337899269330665349214770368822501591691531221782481689410469533 (177 digits)
Wed Feb 15 23:06:44 2017  no P-1/P+1/ECM available, skipping
Wed Feb 15 23:06:44 2017  commencing number field sieve (177-digit input)
Wed Feb 15 23:06:44 2017  R0: -10000000000000000000000000000000000000
Wed Feb 15 23:06:44 2017  R1: 1
Wed Feb 15 23:06:44 2017  A0: 149
Wed Feb 15 23:06:44 2017  A1: 0
Wed Feb 15 23:06:44 2017  A2: 0
Wed Feb 15 23:06:44 2017  A3: 0
Wed Feb 15 23:06:44 2017  A4: 0
Wed Feb 15 23:06:44 2017  A5: 100
Wed Feb 15 23:06:44 2017  skew 1.08, size 2.801e-13, alpha 1.117, combined = 3.904e-11 rroots = 1
Wed Feb 15 23:06:44 2017  
Wed Feb 15 23:06:44 2017  commencing square root phase
Wed Feb 15 23:06:44 2017  reading relations for dependency 1
Wed Feb 15 23:06:44 2017  read 1090569 cycles
Wed Feb 15 23:06:45 2017  cycles contain 3597198 unique relations
Wed Feb 15 23:07:03 2017  read 3597198 relations
Wed Feb 15 23:07:13 2017  multiplying 3597198 relations
Wed Feb 15 23:08:49 2017  multiply complete, coefficients have about 105.34 million bits
Wed Feb 15 23:08:49 2017  initial square root is modulo 36407951
Wed Feb 15 23:10:50 2017  sqrtTime: 246
Wed Feb 15 23:10:50 2017  p51 factor: 557082057683262467349277986253852040698834649540513
Wed Feb 15 23:10:50 2017  p126 factor: 505535594151572375411167879690598674471779768513119717387997923987481091814018313331621373596953639400616842015626109719004541
Wed Feb 15 23:10:50 2017  elapsed time 00:04:07
software ソフトウェア
Msieve 1.53 snfs
execution environment 実行環境
64-bit Ubuntu 16.04.1 LTS, Core i7-2600K 3.4GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:23 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 23 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:03 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 3 秒 (日本時間)
4511e6498 / 4342CypJune 3, 2015 16:40:13 UTC 2015 年 6 月 4 日 (木) 1 時 40 分 13 秒 (日本時間)

10189+1493

c189

name 名前Serge Batalov
date 日付December 20, 2014 01:28:47 UTC 2014 年 12 月 20 日 (土) 10 時 28 分 47 秒 (日本時間)
composite number 合成数
333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333383<189>
prime factors 素因数
44563068628904689996303659318117095333741<41>
composite cofactor 合成数の残り
7480035455124049229895549386676780090695376867498643892514966125129826421392867694233997455534702446217723861161849439204959606694315476944787229763<148>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3824691802
Step 1 took 13720ms
Step 2 took 9420ms
********** Factor found in step 2: 44563068628904689996303659318117095333741
Found probable prime factor of 41 digits: 44563068628904689996303659318117095333741
Composite cofactor

c148

name 名前Jo Yeong Uk
date 日付August 8, 2018 14:55:32 UTC 2018 年 8 月 8 日 (水) 23 時 55 分 32 秒 (日本時間)
composite number 合成数
7480035455124049229895549386676780090695376867498643892514966125129826421392867694233997455534702446217723861161849439204959606694315476944787229763<148>
prime factors 素因数
8625896562453915329687677945103493783518682556141<49>
867160346865568158566562677940140109992670507125761864567133512164827556525143619727945498838837743<99>
factorization results 素因数分解の結果
Number: 33383_189
N=7480035455124049229895549386676780090695376867498643892514966125129826421392867694233997455534702446217723861161849439204959606694315476944787229763
  ( 148 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=8625896562453915329687677945103493783518682556141
 r2=867160346865568158566562677940140109992670507125761864567133512164827556525143619727945498838837743
Version: 
Total time: 102.02 hours.
Scaled time: 535.59 units (timescale=5.250).
Factorization parameters were as follows:
n: 7480035455124049229895549386676780090695376867498643892514966125129826421392867694233997455534702446217723861161849439204959606694315476944787229763
m: 100000000000000000000000000000000000000
deg: 5
c5: 1
c0: 1490
skew: 4.31
# Murphy_E = 3.837e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 8900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20818247
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1898903 x 1899150
Total sieving time: 94.14 hours.
Total relation processing time: 2.43 hours.
Matrix solve time: 5.13 hours.
Time per square root: 0.31 hours.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 102.02 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:21 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 21 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:42 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 42 秒 (日本時間)
4511e6743 / 3916Pierre JammesApril 24, 2015 14:08:34 UTC 2015 年 4 月 24 日 (金) 23 時 8 分 34 秒 (日本時間)

10190+1493

c145

name 名前Jo Yeong Uk
date 日付August 15, 2018 04:47:54 UTC 2018 年 8 月 15 日 (水) 13 時 47 分 54 秒 (日本時間)
composite number 合成数
8250944208536728331412821999055019414803960303342373866520690921821952490860544031866605728403930915239562584208211405664016260029613821106343991<145>
prime factors 素因数
2556748418893547876122885856312438570234869958098229<52>
3227124009372571176008757008158396752128218283366057591278171128302722404881831723108726309179<94>
factorization results 素因数分解の結果
Number: 33383_190
N=8250944208536728331412821999055019414803960303342373866520690921821952490860544031866605728403930915239562584208211405664016260029613821106343991
  ( 145 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=2556748418893547876122885856312438570234869958098229
 r2=3227124009372571176008757008158396752128218283366057591278171128302722404881831723108726309179
Version: 
Total time: 79.44 hours.
Scaled time: 417.05 units (timescale=5.250).
Factorization parameters were as follows:
n: 8250944208536728331412821999055019414803960303342373866520690921821952490860544031866605728403930915239562584208211405664016260029613821106343991
m: 100000000000000000000000000000000000000
deg: 5
c5: 1
c0: 149
skew: 2.72
# Murphy_E = 4.929e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5

Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 7900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20578911
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1653725 x 1653973
Total sieving time: 73.93 hours.
Total relation processing time: 1.87 hours.
Matrix solve time: 3.55 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 79.44 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:24 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 24 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:04 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 4 秒 (日本時間)
4511e6700 / 4342Pierre JammesApril 23, 2015 17:30:46 UTC 2015 年 4 月 24 日 (金) 2 時 30 分 46 秒 (日本時間)

10193+1493

c176

composite cofactor 合成数の残り
82008258319703328875491027611439676876748089570500071471022845727052710057018526631925747716438966787300463947208437122049152581132043134141135146573227664874832402973321568173<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:24 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 24 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:04 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 4 秒 (日本時間)
4511e6498 / 4342CypJune 26, 2015 17:17:57 UTC 2015 年 6 月 27 日 (土) 2 時 17 分 57 秒 (日本時間)

10194+1493

c137

name 名前Pierre Jammes
date 日付March 12, 2015 15:52:13 UTC 2015 年 3 月 13 日 (金) 0 時 52 分 13 秒 (日本時間)
composite number 合成数
30663963814196283608517197523378591303954911167742271086456032717561929453530903791675272962562473195523914543629976515458224966522757193<137>
prime factors 素因数
3461133886945218368214809728136303570886343<43>
8859513909547187140439500438664090627320546711514053215531641759664120201466357731222442915951<94>
factorization results 素因数分解の結果
Using B1=11000000, B2=144269945836, polynomial Dickson(12), sigma=1398616090
Step 1 took 80788ms
Step 2 took 67088ms
********** Factor found in step 2: 3461133886945218368214809728136303570886343
Found probable prime factor of 43 digits: 3461133886945218368214809728136303570886343
Probable prime cofactor 8859513909547187140439500438664090627320546711514053215531641759664120201466357731222442915951 has 94 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
debian 8

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:22:25 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 25 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:04 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 4 秒 (日本時間)

10195+1493

c164

name 名前Cyp
date 日付June 24, 2015 15:02:15 UTC 2015 年 6 月 25 日 (木) 0 時 2 分 15 秒 (日本時間)
composite number 合成数
62662627267804124018986121650185663072925490161251798733644840127796873978047583732756746920098430627442610108195636367137674295226518204358770820910134993168085813<164>
prime factors 素因数
1629980067191728787018527010778931022899<40>
composite cofactor 合成数の残り
38443799730486729276227845695776423930766271614809297517929163731357386197343304558000396460970673710114080170720374811466487<125>
factorization results 素因数分解の結果
Run 373 out of 498:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3435175335
Step 1 took 50274ms
Step 2 took 17008ms
********** Factor found in step 2: 1629980067191728787018527010778931022899
Found probable prime factor of 40 digits: 1629980067191728787018527010778931022899
Composite cofactor 38443799730486729276227845695776423930766271614809297517929163731357386197343304558000396460970673710114080170720374811466487 has 125 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c125

name 名前Serge Batalov
date 日付June 26, 2015 05:35:16 UTC 2015 年 6 月 26 日 (金) 14 時 35 分 16 秒 (日本時間)
composite number 合成数
38443799730486729276227845695776423930766271614809297517929163731357386197343304558000396460970673710114080170720374811466487<125>
prime factors 素因数
108309063079535733710288845997508521591381321<45>
354945363180326741342186800545983493774084446507803965160873215188294871033296447<81>
factorization results 素因数分解の結果
Divisors found:
 r1=108309063079535733710288845997508521591381321 (pp45)
 r2=354945363180326741342186800545983493774084446507803965160873215188294871033296447 (pp81)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 30.23 hours.
Scaled time: 72.56 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  38443799730486729276227845695776423930766271614809297517929163731357386197343304558000396460970673710114080170720374811466487
skew:  331583.47
Y0:  -1612350427441281953976555
Y1:  4532067524669
c0:  8468076894833982907807623110948
c1:  -60634644747408107553317358
c2:  -202469095382964255010
c3:  1556738976395010
c4:  1573152557
c5:  3528
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [2350000, 5750001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 977404 x 977634
Total sieving time: 29.48 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.58 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,124,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4700000,4700000,27,27,53,53,2.5,2.5,100000
total time: 30.23 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:25 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 25 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:05 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 5 秒 (日本時間)
4511e6498 / 4342CypJune 24, 2015 15:02:14 UTC 2015 年 6 月 25 日 (木) 0 時 2 分 14 秒 (日本時間)

10196+1493

c111

name 名前Cyp
date 日付December 21, 2014 04:40:09 UTC 2014 年 12 月 21 日 (日) 13 時 40 分 9 秒 (日本時間)
composite number 合成数
460067043613475062843111562558648329254749386558764671410604576435732302369526933168583825561750323213088021797<111>
prime factors 素因数
19332852622822746949858925415823204242909758562143<50>
23797162922059336207238549694403977093816212357744991318787579<62>
factorization results 素因数分解の結果
12/21/14 02:19:13 v1.34.3, 
12/21/14 02:19:13 v1.34.3, ****************************
12/21/14 02:19:13 v1.34.3, Starting factorization of 460067043613475062843111562558648329254749386558764671410604576435732302369526933168583825561750323213088021797
12/21/14 02:19:13 v1.34.3, using pretesting plan: none
12/21/14 02:19:13 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/21/14 02:19:13 v1.34.3, ****************************
12/21/14 02:19:13 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C111
12/21/14 02:19:13 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C111
12/21/14 02:19:13 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C111
12/21/14 02:19:13 v1.34.3, final ECM pretested depth: 0.00
12/21/14 02:19:13 v1.34.3, scheduler: switching to sieve method
12/21/14 02:19:13 v1.34.3, nfs: commencing nfs on c111: 460067043613475062843111562558648329254749386558764671410604576435732302369526933168583825561750323213088021797
12/21/14 02:19:13 v1.34.3, nfs: commencing poly selection with 8 threads
12/21/14 02:19:13 v1.34.3, nfs: setting deadline of 525 seconds
12/21/14 02:27:38 v1.34.3, nfs: completed 81 ranges of size 250 in 505.2850 seconds
12/21/14 02:27:38 v1.34.3, nfs: best poly = # norm 1.491807e-10 alpha -7.190749 e 8.525e-10 rroots 5
12/21/14 02:27:38 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 02:37:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
[11 lines snipped]
12/21/14 04:29:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 04:36:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 04:45:02 v1.34.3, nfs: commencing msieve filtering
12/21/14 04:46:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 04:56:16 v1.34.3, nfs: commencing msieve filtering
12/21/14 04:57:39 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 05:07:17 v1.34.3, nfs: commencing msieve filtering
12/21/14 05:08:50 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/21/14 05:18:45 v1.34.3, nfs: commencing msieve filtering
12/21/14 05:20:42 v1.34.3, nfs: commencing msieve linear algebra
12/21/14 05:32:00 v1.34.3, nfs: commencing msieve sqrt
12/21/14 05:40:08 v1.34.3, prp50 = 19332852622822746949858925415823204242909758562143
12/21/14 05:40:08 v1.34.3, prp62 = 23797162922059336207238549694403977093816212357744991318787579
12/21/14 05:40:08 v1.34.3, NFS elapsed time = 12055.0977 seconds.
12/21/14 05:40:08 v1.34.3, 
12/21/14 05:40:08 v1.34.3, 
12/21/14 05:40:08 v1.34.3, Total factoring time = 12055.1197 seconds
--
Sun Dec 21 04:45:02 2014  
Sun Dec 21 04:45:02 2014  commencing relation filtering
Sun Dec 21 04:45:02 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 04:45:02 2014  commencing duplicate removal, pass 1
Sun Dec 21 04:45:28 2014  found 430648 hash collisions in 4631849 relations
Sun Dec 21 04:45:38 2014  added 32725 free relations
Sun Dec 21 04:45:38 2014  commencing duplicate removal, pass 2
Sun Dec 21 04:45:43 2014  found 182057 duplicates and 4482517 unique relations
Sun Dec 21 04:45:43 2014  memory use: 20.6 MB
Sun Dec 21 04:45:43 2014  reading ideals above 100000
Sun Dec 21 04:45:43 2014  commencing singleton removal, initial pass
Sun Dec 21 04:46:20 2014  memory use: 172.2 MB
Sun Dec 21 04:46:20 2014  reading all ideals from disk
Sun Dec 21 04:46:20 2014  memory use: 150.9 MB
Sun Dec 21 04:46:20 2014  keeping 5429989 ideals with weight <= 200, target excess is 24313
Sun Dec 21 04:46:20 2014  commencing in-memory singleton removal
Sun Dec 21 04:46:21 2014  begin with 4482517 relations and 5429989 unique ideals
Sun Dec 21 04:46:24 2014  reduce to 702751 relations and 862534 ideals in 61 passes
Sun Dec 21 04:46:24 2014  max relations containing the same ideal: 60
Sun Dec 21 04:56:16 2014  
Sun Dec 21 04:56:16 2014  commencing relation filtering
Sun Dec 21 04:56:16 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 04:56:16 2014  commencing duplicate removal, pass 1
Sun Dec 21 04:56:44 2014  found 488029 hash collisions in 4977569 relations
Sun Dec 21 04:56:53 2014  added 69 free relations
Sun Dec 21 04:56:53 2014  commencing duplicate removal, pass 2
Sun Dec 21 04:56:59 2014  found 205506 duplicates and 4772132 unique relations
Sun Dec 21 04:56:59 2014  memory use: 20.6 MB
Sun Dec 21 04:56:59 2014  reading ideals above 100000
Sun Dec 21 04:56:59 2014  commencing singleton removal, initial pass
Sun Dec 21 04:57:36 2014  memory use: 172.2 MB
Sun Dec 21 04:57:36 2014  reading all ideals from disk
Sun Dec 21 04:57:36 2014  memory use: 160.7 MB
Sun Dec 21 04:57:36 2014  keeping 5569444 ideals with weight <= 200, target excess is 25407
Sun Dec 21 04:57:37 2014  commencing in-memory singleton removal
Sun Dec 21 04:57:37 2014  begin with 4772132 relations and 5569444 unique ideals
Sun Dec 21 04:57:39 2014  reduce to 1255198 relations and 1353264 ideals in 26 passes
Sun Dec 21 04:57:39 2014  max relations containing the same ideal: 80
Sun Dec 21 05:07:17 2014  
Sun Dec 21 05:07:17 2014  commencing relation filtering
Sun Dec 21 05:07:17 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 05:07:17 2014  commencing duplicate removal, pass 1
Sun Dec 21 05:07:49 2014  found 542010 hash collisions in 5277747 relations
Sun Dec 21 05:07:58 2014  added 64 free relations
Sun Dec 21 05:07:58 2014  commencing duplicate removal, pass 2
Sun Dec 21 05:08:05 2014  found 229021 duplicates and 5048790 unique relations
Sun Dec 21 05:08:05 2014  memory use: 20.6 MB
Sun Dec 21 05:08:05 2014  reading ideals above 100000
Sun Dec 21 05:08:05 2014  commencing singleton removal, initial pass
Sun Dec 21 05:08:44 2014  memory use: 172.2 MB
Sun Dec 21 05:08:44 2014  reading all ideals from disk
Sun Dec 21 05:08:44 2014  memory use: 170.0 MB
Sun Dec 21 05:08:45 2014  keeping 5693720 ideals with weight <= 200, target excess is 26491
Sun Dec 21 05:08:45 2014  commencing in-memory singleton removal
Sun Dec 21 05:08:46 2014  begin with 5048790 relations and 5693720 unique ideals
Sun Dec 21 05:08:49 2014  reduce to 1666733 relations and 1684073 ideals in 22 passes
Sun Dec 21 05:08:49 2014  max relations containing the same ideal: 91
Sun Dec 21 05:18:45 2014  
Sun Dec 21 05:18:45 2014  commencing relation filtering
Sun Dec 21 05:18:45 2014  estimated available RAM is 15987.3 MB
Sun Dec 21 05:18:45 2014  commencing duplicate removal, pass 1
Sun Dec 21 05:19:17 2014  found 601061 hash collisions in 5591601 relations
Sun Dec 21 05:19:27 2014  added 52 free relations
Sun Dec 21 05:19:27 2014  commencing duplicate removal, pass 2
Sun Dec 21 05:19:34 2014  found 254815 duplicates and 5336838 unique relations
Sun Dec 21 05:19:34 2014  memory use: 20.6 MB
Sun Dec 21 05:19:34 2014  reading ideals above 100000
Sun Dec 21 05:19:34 2014  commencing singleton removal, initial pass
Sun Dec 21 05:20:17 2014  memory use: 172.2 MB
Sun Dec 21 05:20:17 2014  reading all ideals from disk
Sun Dec 21 05:20:17 2014  memory use: 179.8 MB
Sun Dec 21 05:20:17 2014  keeping 5814334 ideals with weight <= 200, target excess is 27850
Sun Dec 21 05:20:18 2014  commencing in-memory singleton removal
Sun Dec 21 05:20:18 2014  begin with 5336838 relations and 5814334 unique ideals
Sun Dec 21 05:20:22 2014  reduce to 2075957 relations and 1990395 ideals in 22 passes
Sun Dec 21 05:20:22 2014  max relations containing the same ideal: 104
Sun Dec 21 05:20:23 2014  removing 266007 relations and 239379 ideals in 26628 cliques
Sun Dec 21 05:20:23 2014  commencing in-memory singleton removal
Sun Dec 21 05:20:23 2014  begin with 1809950 relations and 1990395 unique ideals
Sun Dec 21 05:20:24 2014  reduce to 1780261 relations and 1720788 ideals in 12 passes
Sun Dec 21 05:20:24 2014  max relations containing the same ideal: 93
Sun Dec 21 05:20:24 2014  removing 197336 relations and 170708 ideals in 26628 cliques
Sun Dec 21 05:20:24 2014  commencing in-memory singleton removal
Sun Dec 21 05:20:24 2014  begin with 1582925 relations and 1720788 unique ideals
Sun Dec 21 05:20:25 2014  reduce to 1564033 relations and 1530855 ideals in 10 passes
Sun Dec 21 05:20:25 2014  max relations containing the same ideal: 86
Sun Dec 21 05:20:26 2014  relations with 0 large ideals: 92
Sun Dec 21 05:20:26 2014  relations with 1 large ideals: 177
Sun Dec 21 05:20:26 2014  relations with 2 large ideals: 2769
Sun Dec 21 05:20:26 2014  relations with 3 large ideals: 24949
Sun Dec 21 05:20:26 2014  relations with 4 large ideals: 115701
Sun Dec 21 05:20:26 2014  relations with 5 large ideals: 303043
Sun Dec 21 05:20:26 2014  relations with 6 large ideals: 460408
Sun Dec 21 05:20:26 2014  relations with 7+ large ideals: 656894
Sun Dec 21 05:20:26 2014  commencing 2-way merge
Sun Dec 21 05:20:27 2014  reduce to 886756 relation sets and 853577 unique ideals
Sun Dec 21 05:20:27 2014  commencing full merge
Sun Dec 21 05:20:38 2014  memory use: 95.2 MB
Sun Dec 21 05:20:38 2014  found 435861 cycles, need 431777
Sun Dec 21 05:20:38 2014  weight of 431777 cycles is about 30539829 (70.73/cycle)
Sun Dec 21 05:20:38 2014  distribution of cycle lengths:
Sun Dec 21 05:20:38 2014  1 relations: 50785
Sun Dec 21 05:20:38 2014  2 relations: 49618
Sun Dec 21 05:20:38 2014  3 relations: 49631
Sun Dec 21 05:20:38 2014  4 relations: 43742
Sun Dec 21 05:20:38 2014  5 relations: 39529
Sun Dec 21 05:20:38 2014  6 relations: 33001
Sun Dec 21 05:20:38 2014  7 relations: 29349
Sun Dec 21 05:20:38 2014  8 relations: 24733
Sun Dec 21 05:20:38 2014  9 relations: 20935
Sun Dec 21 05:20:38 2014  10+ relations: 90454
Sun Dec 21 05:20:38 2014  heaviest cycle: 24 relations
Sun Dec 21 05:20:38 2014  commencing cycle optimization
Sun Dec 21 05:20:39 2014  start with 2657325 relations
Sun Dec 21 05:20:42 2014  pruned 52388 relations
Sun Dec 21 05:20:42 2014  memory use: 89.9 MB
Sun Dec 21 05:20:42 2014  distribution of cycle lengths:
Sun Dec 21 05:20:42 2014  1 relations: 50785
Sun Dec 21 05:20:42 2014  2 relations: 50641
Sun Dec 21 05:20:42 2014  3 relations: 51094
Sun Dec 21 05:20:42 2014  4 relations: 44574
Sun Dec 21 05:20:42 2014  5 relations: 40090
Sun Dec 21 05:20:42 2014  6 relations: 33397
Sun Dec 21 05:20:42 2014  7 relations: 29404
Sun Dec 21 05:20:42 2014  8 relations: 24653
Sun Dec 21 05:20:42 2014  9 relations: 20916
Sun Dec 21 05:20:42 2014  10+ relations: 86223
Sun Dec 21 05:20:42 2014  heaviest cycle: 23 relations
Sun Dec 21 05:20:42 2014  RelProcTime: 117
Sun Dec 21 05:20:42 2014  
Sun Dec 21 05:20:42 2014  commencing linear algebra
Sun Dec 21 05:20:43 2014  read 431777 cycles
Sun Dec 21 05:20:43 2014  cycles contain 1519235 unique relations
Sun Dec 21 05:20:54 2014  read 1519235 relations
Sun Dec 21 05:20:56 2014  using 20 quadratic characters above 67108754
Sun Dec 21 05:21:02 2014  building initial matrix
Sun Dec 21 05:21:17 2014  memory use: 192.0 MB
Sun Dec 21 05:21:17 2014  read 431777 cycles
Sun Dec 21 05:21:17 2014  matrix is 431605 x 431777 (131.8 MB) with weight 41495329 (96.10/col)
Sun Dec 21 05:21:17 2014  sparse part has weight 29363653 (68.01/col)
Sun Dec 21 05:21:20 2014  filtering completed in 2 passes
Sun Dec 21 05:21:20 2014  matrix is 430821 x 430997 (131.7 MB) with weight 41462088 (96.20/col)
Sun Dec 21 05:21:20 2014  sparse part has weight 29353396 (68.11/col)
Sun Dec 21 05:21:21 2014  matrix starts at (0, 0)
Sun Dec 21 05:21:22 2014  matrix is 430821 x 430997 (131.7 MB) with weight 41462088 (96.20/col)
Sun Dec 21 05:21:22 2014  sparse part has weight 29353396 (68.11/col)
Sun Dec 21 05:21:22 2014  saving the first 48 matrix rows for later
Sun Dec 21 05:21:22 2014  matrix includes 64 packed rows
Sun Dec 21 05:21:22 2014  matrix is 430773 x 430997 (126.4 MB) with weight 33116510 (76.84/col)
Sun Dec 21 05:21:22 2014  sparse part has weight 28819172 (66.87/col)
Sun Dec 21 05:21:22 2014  using block size 65536 for processor cache size 8192 kB
Sun Dec 21 05:21:24 2014  commencing Lanczos iteration (8 threads)
Sun Dec 21 05:21:24 2014  memory use: 119.0 MB
Sun Dec 21 05:21:42 2014  linear algebra at 2.8%, ETA 0h10m
Sun Dec 21 05:32:00 2014  lanczos halted after 6815 iterations (dim = 430771)
Sun Dec 21 05:32:00 2014  recovered 29 nontrivial dependencies
Sun Dec 21 05:32:00 2014  BLanczosTime: 678
Sun Dec 21 05:32:00 2014  
Sun Dec 21 05:32:00 2014  commencing square root phase
Sun Dec 21 05:32:00 2014  reading relations for dependency 1
Sun Dec 21 05:32:00 2014  read 215097 cycles
Sun Dec 21 05:32:00 2014  cycles contain 758322 unique relations
Sun Dec 21 05:32:09 2014  read 758322 relations
Sun Dec 21 05:32:12 2014  multiplying 758322 relations
Sun Dec 21 05:32:49 2014  multiply complete, coefficients have about 32.32 million bits
Sun Dec 21 05:32:49 2014  initial square root is modulo 1905938809
Sun Dec 21 05:33:34 2014  GCD is 1, no factor found
Sun Dec 21 05:33:34 2014  reading relations for dependency 2
Sun Dec 21 05:33:35 2014  read 215697 cycles
Sun Dec 21 05:33:35 2014  cycles contain 760520 unique relations
Sun Dec 21 05:33:44 2014  read 760520 relations
Sun Dec 21 05:33:47 2014  multiplying 760520 relations
Sun Dec 21 05:34:22 2014  multiply complete, coefficients have about 32.40 million bits
Sun Dec 21 05:34:22 2014  initial square root is modulo 2021312837
Sun Dec 21 05:35:00 2014  Newton iteration failed to converge
Sun Dec 21 05:35:00 2014  algebraic square root failed
Sun Dec 21 05:35:00 2014  reading relations for dependency 3
Sun Dec 21 05:35:00 2014  read 216042 cycles
Sun Dec 21 05:35:00 2014  cycles contain 761532 unique relations
Sun Dec 21 05:35:06 2014  read 761532 relations
Sun Dec 21 05:35:08 2014  multiplying 761532 relations
Sun Dec 21 05:35:40 2014  multiply complete, coefficients have about 32.45 million bits
Sun Dec 21 05:35:40 2014  initial square root is modulo 2083488311
Sun Dec 21 05:36:21 2014  GCD is N, no factor found
Sun Dec 21 05:36:21 2014  reading relations for dependency 4
Sun Dec 21 05:36:21 2014  read 215724 cycles
Sun Dec 21 05:36:22 2014  cycles contain 760454 unique relations
Sun Dec 21 05:36:30 2014  read 760454 relations
Sun Dec 21 05:36:33 2014  multiplying 760454 relations
Sun Dec 21 05:37:06 2014  multiply complete, coefficients have about 32.40 million bits
Sun Dec 21 05:37:06 2014  initial square root is modulo 2018127809
Sun Dec 21 05:37:36 2014  GCD is 1, no factor found
Sun Dec 21 05:37:36 2014  reading relations for dependency 5
Sun Dec 21 05:37:36 2014  read 214990 cycles
Sun Dec 21 05:37:36 2014  cycles contain 758082 unique relations
Sun Dec 21 05:37:41 2014  read 758082 relations
Sun Dec 21 05:37:43 2014  multiplying 758082 relations
Sun Dec 21 05:38:02 2014  multiply complete, coefficients have about 32.30 million bits
Sun Dec 21 05:38:02 2014  initial square root is modulo 1889078533
Sun Dec 21 05:38:27 2014  GCD is 1, no factor found
Sun Dec 21 05:38:27 2014  reading relations for dependency 6
Sun Dec 21 05:38:27 2014  read 215869 cycles
Sun Dec 21 05:38:27 2014  cycles contain 759220 unique relations
Sun Dec 21 05:38:32 2014  read 759220 relations
Sun Dec 21 05:38:34 2014  multiplying 759220 relations
Sun Dec 21 05:38:53 2014  multiply complete, coefficients have about 32.35 million bits
Sun Dec 21 05:38:53 2014  initial square root is modulo 1948942759
Sun Dec 21 05:39:18 2014  GCD is N, no factor found
Sun Dec 21 05:39:18 2014  reading relations for dependency 7
Sun Dec 21 05:39:18 2014  read 215421 cycles
Sun Dec 21 05:39:18 2014  cycles contain 759406 unique relations
Sun Dec 21 05:39:23 2014  read 759406 relations
Sun Dec 21 05:39:25 2014  multiplying 759406 relations
Sun Dec 21 05:39:44 2014  multiply complete, coefficients have about 32.36 million bits
Sun Dec 21 05:39:44 2014  initial square root is modulo 1958925301
Sun Dec 21 05:40:08 2014  sqrtTime: 488
--
n: 460067043613475062843111562558648329254749386558764671410604576435732302369526933168583825561750323213088021797
skew: 81311.70
c0: -1440356746786116482299551120
c1: 335433098129693559650310
c2: 5513374404792884621
c3: -340475940661654
c4: -794818134
c5: 4356
Y0: -2539491079977902074103
Y1: 6582092303
rlim: 3460000
alim: 3460000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:42 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 42 秒 (日本時間)

10197+1493

c190

name 名前Serge Batalov
date 日付December 21, 2014 01:57:40 UTC 2014 年 12 月 21 日 (日) 10 時 57 分 40 秒 (日本時間)
composite number 合成数
1264736120333672295260943960845186218924279451691867229469181270669503368605685466931153343095325551740816311534455389512987682722276709162179730714155889122962034253177178388133527348913137<190>
prime factors 素因数
26378162164610990508832891014229<32>
composite cofactor 合成数の残り
47946331986329415056512343966186356428178399663192334473270347745275451744171884970673436137102851559388546735243883582975008352087493206630234786961348171053<158>
factorization results 素因数分解の結果
Input number is 1264736120333672295260943960845186218924279451691867229469181270669503368605685466931153343095325551740816311534455389512987682722276709162179730714155889122962034253177178388133527348913137 (190 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3732497549
Step 1 took 13611ms
Step 2 took 9413ms
********** Factor found in step 2: 26378162164610990508832891014229
Found probable prime factor of 32 digits: 26378162164610990508832891014229
Composite cofactor 47946331986329415056512343966186356428178399663192334473270347745275451744171884970673436137102851559388546735243883582975008352087493206630234786961348171053 has 158 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61300300Serge BatalovDecember 20, 2014 21:22:26 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 26 秒 (日本時間)
1000Dmitry DomanovNovember 23, 2016 10:16:59 UTC 2016 年 11 月 23 日 (水) 19 時 16 分 59 秒 (日本時間)
4511e6400 / 4188Dmitry DomanovJanuary 16, 2017 14:08:41 UTC 2017 年 1 月 16 日 (月) 23 時 8 分 41 秒 (日本時間)

10199+1493

c167

composite cofactor 合成数の残り
74270571909308431623711795221289001804268931244323685601871938648437820368746858617908400642887295600717366771786896801813553993907354698681820209427958214519226396043<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61320300Serge BatalovDecember 20, 2014 21:22:26 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 26 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:05 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 5 秒 (日本時間)
720Dmitry DomanovNovember 23, 2016 10:17:41 UTC 2016 年 11 月 23 日 (水) 19 時 17 分 41 秒 (日本時間)
4511e6400 / 4183Dmitry DomanovJanuary 16, 2017 14:08:22 UTC 2017 年 1 月 16 日 (月) 23 時 8 分 22 秒 (日本時間)

10200+1493

c166

composite cofactor 合成数の残り
7253858105321668980052526552373519566835919750915087784919051227059964992379343628889646770322730581827048267193735261498857539981735215047011057741291439242484058449<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:27 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 27 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:06 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 6 秒 (日本時間)
4511e6498 / 4342CypJune 4, 2015 15:40:20 UTC 2015 年 6 月 5 日 (金) 0 時 40 分 20 秒 (日本時間)

10201+1493

c107

name 名前Cyp
date 日付December 20, 2014 12:03:08 UTC 2014 年 12 月 20 日 (土) 21 時 3 分 8 秒 (日本時間)
composite number 合成数
28557020668318486578056240202760263245860546765066249807078172941114689817414499508179712496774401124269721<107>
prime factors 素因数
1499134539256939160047276108341561486344862781831<49>
19049004555970710876742991218815542121558450701858238740191<59>
factorization results 素因数分解の結果
12/20/14 10:40:31 v1.34.3, 
12/20/14 10:40:31 v1.34.3, ****************************
12/20/14 10:40:31 v1.34.3, Starting factorization of 28557020668318486578056240202760263245860546765066249807078172941114689817414499508179712496774401124269721
12/20/14 10:40:31 v1.34.3, using pretesting plan: none
12/20/14 10:40:31 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/20/14 10:40:31 v1.34.3, ****************************
12/20/14 10:40:31 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C107
12/20/14 10:40:31 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C107
12/20/14 10:40:31 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C107
12/20/14 10:40:31 v1.34.3, final ECM pretested depth: 0.00
12/20/14 10:40:31 v1.34.3, scheduler: switching to sieve method
12/20/14 10:40:31 v1.34.3, nfs: commencing nfs on c107: 28557020668318486578056240202760263245860546765066249807078172941114689817414499508179712496774401124269721
12/20/14 10:40:31 v1.34.3, nfs: commencing poly selection with 8 threads
12/20/14 10:40:31 v1.34.3, nfs: setting deadline of 304 seconds
12/20/14 10:47:22 v1.34.3, nfs: completed 15 ranges of size 250 in 411.6133 seconds
12/20/14 10:47:22 v1.34.3, nfs: best poly = # norm 1.252720e-14 alpha -5.049712 e 4.373e-09 rroots 2
12/20/14 10:47:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 10:50:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
[27 lines snipped]
12/20/14 12:11:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 12:13:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 12:16:14 v1.34.3, nfs: commencing msieve filtering
12/20/14 12:17:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 12:20:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 12:24:02 v1.34.3, nfs: commencing msieve filtering
12/20/14 12:25:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 12:28:36 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 12:31:45 v1.34.3, nfs: commencing msieve filtering
12/20/14 12:33:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 12:36:47 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 12:40:04 v1.34.3, nfs: commencing msieve filtering
12/20/14 12:41:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 12:45:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/20/14 12:48:21 v1.34.3, nfs: commencing msieve filtering
12/20/14 12:50:22 v1.34.3, nfs: commencing msieve linear algebra
12/20/14 13:02:05 v1.34.3, nfs: commencing msieve sqrt
12/20/14 13:03:07 v1.34.3, prp59 = 19049004555970710876742991218815542121558450701858238740191
12/20/14 13:03:07 v1.34.3, prp49 = 1499134539256939160047276108341561486344862781831
12/20/14 13:03:07 v1.34.3, NFS elapsed time = 8556.5540 seconds.
12/20/14 13:03:07 v1.34.3, 
12/20/14 13:03:07 v1.34.3, 
12/20/14 13:03:07 v1.34.3, Total factoring time = 8556.5949 seconds
--
Sat Dec 20 12:16:14 2014  
Sat Dec 20 12:16:14 2014  commencing relation filtering
Sat Dec 20 12:16:14 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 12:16:14 2014  commencing duplicate removal, pass 1
Sat Dec 20 12:16:38 2014  found 528053 hash collisions in 4553088 relations
Sat Dec 20 12:16:46 2014  added 159100 free relations
Sat Dec 20 12:16:46 2014  commencing duplicate removal, pass 2
Sat Dec 20 12:16:51 2014  found 324980 duplicates and 4387208 unique relations
Sat Dec 20 12:16:51 2014  memory use: 20.6 MB
Sat Dec 20 12:16:51 2014  reading ideals above 100000
Sat Dec 20 12:16:51 2014  commencing singleton removal, initial pass
Sat Dec 20 12:17:25 2014  memory use: 172.2 MB
Sat Dec 20 12:17:25 2014  reading all ideals from disk
Sat Dec 20 12:17:25 2014  memory use: 143.4 MB
Sat Dec 20 12:17:25 2014  keeping 5521972 ideals with weight <= 200, target excess is 21087
Sat Dec 20 12:17:25 2014  commencing in-memory singleton removal
Sat Dec 20 12:17:26 2014  begin with 4387208 relations and 5521972 unique ideals
Sat Dec 20 12:17:27 2014  reduce to 424 relations and 0 ideals in 20 passes
Sat Dec 20 12:17:27 2014  max relations containing the same ideal: 0
Sat Dec 20 12:24:02 2014  
Sat Dec 20 12:24:02 2014  commencing relation filtering
Sat Dec 20 12:24:02 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 12:24:02 2014  commencing duplicate removal, pass 1
Sat Dec 20 12:24:31 2014  found 606817 hash collisions in 5016956 relations
Sat Dec 20 12:24:37 2014  added 886 free relations
Sat Dec 20 12:24:37 2014  commencing duplicate removal, pass 2
Sat Dec 20 12:24:43 2014  found 362779 duplicates and 4655063 unique relations
Sat Dec 20 12:24:43 2014  memory use: 20.6 MB
Sat Dec 20 12:24:43 2014  reading ideals above 100000
Sat Dec 20 12:24:43 2014  commencing singleton removal, initial pass
Sat Dec 20 12:25:20 2014  memory use: 172.2 MB
Sat Dec 20 12:25:20 2014  reading all ideals from disk
Sat Dec 20 12:25:20 2014  memory use: 152.3 MB
Sat Dec 20 12:25:21 2014  keeping 5652382 ideals with weight <= 200, target excess is 22200
Sat Dec 20 12:25:21 2014  commencing in-memory singleton removal
Sat Dec 20 12:25:21 2014  begin with 4655063 relations and 5652382 unique ideals
Sat Dec 20 12:25:26 2014  reduce to 865769 relations and 1021874 ideals in 37 passes
Sat Dec 20 12:25:26 2014  max relations containing the same ideal: 63
Sat Dec 20 12:31:45 2014  
Sat Dec 20 12:31:45 2014  commencing relation filtering
Sat Dec 20 12:31:45 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 12:31:45 2014  commencing duplicate removal, pass 1
Sat Dec 20 12:32:16 2014  found 670252 hash collisions in 5318672 relations
Sat Dec 20 12:32:22 2014  added 773 free relations
Sat Dec 20 12:32:22 2014  commencing duplicate removal, pass 2
Sat Dec 20 12:32:29 2014  found 401758 duplicates and 4917687 unique relations
Sat Dec 20 12:32:29 2014  memory use: 20.6 MB
Sat Dec 20 12:32:29 2014  reading ideals above 100000
Sat Dec 20 12:32:29 2014  commencing singleton removal, initial pass
Sat Dec 20 12:33:10 2014  memory use: 172.2 MB
Sat Dec 20 12:33:10 2014  reading all ideals from disk
Sat Dec 20 12:33:10 2014  memory use: 160.9 MB
Sat Dec 20 12:33:10 2014  keeping 5770931 ideals with weight <= 200, target excess is 23470
Sat Dec 20 12:33:11 2014  commencing in-memory singleton removal
Sat Dec 20 12:33:11 2014  begin with 4917687 relations and 5770931 unique ideals
Sat Dec 20 12:33:15 2014  reduce to 1329114 relations and 1424780 ideals in 28 passes
Sat Dec 20 12:33:15 2014  max relations containing the same ideal: 87
Sat Dec 20 12:40:04 2014  
Sat Dec 20 12:40:04 2014  commencing relation filtering
Sat Dec 20 12:40:04 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 12:40:04 2014  commencing duplicate removal, pass 1
Sat Dec 20 12:40:41 2014  found 738423 hash collisions in 5632964 relations
Sat Dec 20 12:40:48 2014  added 642 free relations
Sat Dec 20 12:40:48 2014  commencing duplicate removal, pass 2
Sat Dec 20 12:40:53 2014  found 443334 duplicates and 5190272 unique relations
Sat Dec 20 12:40:53 2014  memory use: 20.6 MB
Sat Dec 20 12:40:53 2014  reading ideals above 100000
Sat Dec 20 12:40:53 2014  commencing singleton removal, initial pass
Sat Dec 20 12:41:38 2014  memory use: 172.2 MB
Sat Dec 20 12:41:38 2014  reading all ideals from disk
Sat Dec 20 12:41:39 2014  memory use: 170.0 MB
Sat Dec 20 12:41:39 2014  keeping 5886577 ideals with weight <= 200, target excess is 24822
Sat Dec 20 12:41:39 2014  commencing in-memory singleton removal
Sat Dec 20 12:41:39 2014  begin with 5190272 relations and 5886577 unique ideals
Sat Dec 20 12:41:42 2014  reduce to 1738626 relations and 1751782 ideals in 22 passes
Sat Dec 20 12:41:42 2014  max relations containing the same ideal: 98
Sat Dec 20 12:48:21 2014  
Sat Dec 20 12:48:21 2014  commencing relation filtering
Sat Dec 20 12:48:21 2014  estimated available RAM is 15987.3 MB
Sat Dec 20 12:48:21 2014  commencing duplicate removal, pass 1
Sat Dec 20 12:48:56 2014  found 807118 hash collisions in 5940061 relations
Sat Dec 20 12:49:02 2014  added 522 free relations
Sat Dec 20 12:49:02 2014  commencing duplicate removal, pass 2
Sat Dec 20 12:49:08 2014  found 485326 duplicates and 5455257 unique relations
Sat Dec 20 12:49:08 2014  memory use: 20.6 MB
Sat Dec 20 12:49:08 2014  reading ideals above 100000
Sat Dec 20 12:49:08 2014  commencing singleton removal, initial pass
Sat Dec 20 12:49:52 2014  memory use: 172.2 MB
Sat Dec 20 12:49:52 2014  reading all ideals from disk
Sat Dec 20 12:49:52 2014  memory use: 178.7 MB
Sat Dec 20 12:49:52 2014  keeping 5991441 ideals with weight <= 200, target excess is 26137
Sat Dec 20 12:49:52 2014  commencing in-memory singleton removal
Sat Dec 20 12:49:53 2014  begin with 5455257 relations and 5991441 unique ideals
Sat Dec 20 12:49:55 2014  reduce to 2122228 relations and 2039891 ideals in 20 passes
Sat Dec 20 12:49:55 2014  max relations containing the same ideal: 108
Sat Dec 20 12:49:56 2014  removing 269791 relations and 243783 ideals in 26009 cliques
Sat Dec 20 12:49:56 2014  commencing in-memory singleton removal
Sat Dec 20 12:49:56 2014  begin with 1852437 relations and 2039891 unique ideals
Sat Dec 20 12:49:58 2014  reduce to 1821371 relations and 1764506 ideals in 12 passes
Sat Dec 20 12:49:58 2014  max relations containing the same ideal: 98
Sat Dec 20 12:49:58 2014  removing 197699 relations and 171690 ideals in 26009 cliques
Sat Dec 20 12:49:59 2014  commencing in-memory singleton removal
Sat Dec 20 12:49:59 2014  begin with 1623672 relations and 1764506 unique ideals
Sat Dec 20 12:50:00 2014  reduce to 1604633 relations and 1573458 ideals in 9 passes
Sat Dec 20 12:50:00 2014  max relations containing the same ideal: 88
Sat Dec 20 12:50:01 2014  relations with 0 large ideals: 498
Sat Dec 20 12:50:01 2014  relations with 1 large ideals: 193
Sat Dec 20 12:50:01 2014  relations with 2 large ideals: 3093
Sat Dec 20 12:50:01 2014  relations with 3 large ideals: 27235
Sat Dec 20 12:50:01 2014  relations with 4 large ideals: 125550
Sat Dec 20 12:50:01 2014  relations with 5 large ideals: 342477
Sat Dec 20 12:50:01 2014  relations with 6 large ideals: 476085
Sat Dec 20 12:50:01 2014  relations with 7+ large ideals: 629502
Sat Dec 20 12:50:01 2014  commencing 2-way merge
Sat Dec 20 12:50:02 2014  reduce to 916680 relation sets and 885505 unique ideals
Sat Dec 20 12:50:02 2014  commencing full merge
Sat Dec 20 12:50:15 2014  memory use: 103.1 MB
Sat Dec 20 12:50:15 2014  found 442724 cycles, need 439705
Sat Dec 20 12:50:16 2014  weight of 439705 cycles is about 30808649 (70.07/cycle)
Sat Dec 20 12:50:16 2014  distribution of cycle lengths:
Sat Dec 20 12:50:16 2014  1 relations: 52622
Sat Dec 20 12:50:16 2014  2 relations: 48874
Sat Dec 20 12:50:16 2014  3 relations: 46659
Sat Dec 20 12:50:16 2014  4 relations: 41908
Sat Dec 20 12:50:16 2014  5 relations: 38078
Sat Dec 20 12:50:16 2014  6 relations: 32432
Sat Dec 20 12:50:16 2014  7 relations: 28507
Sat Dec 20 12:50:16 2014  8 relations: 24610
Sat Dec 20 12:50:16 2014  9 relations: 21569
Sat Dec 20 12:50:16 2014  10+ relations: 104446
Sat Dec 20 12:50:16 2014  heaviest cycle: 27 relations
Sat Dec 20 12:50:16 2014  commencing cycle optimization
Sat Dec 20 12:50:16 2014  start with 2872115 relations
Sat Dec 20 12:50:21 2014  pruned 62686 relations
Sat Dec 20 12:50:21 2014  memory use: 93.7 MB
Sat Dec 20 12:50:21 2014  distribution of cycle lengths:
Sat Dec 20 12:50:21 2014  1 relations: 52622
Sat Dec 20 12:50:21 2014  2 relations: 49857
Sat Dec 20 12:50:21 2014  3 relations: 48119
Sat Dec 20 12:50:21 2014  4 relations: 42779
Sat Dec 20 12:50:21 2014  5 relations: 38792
Sat Dec 20 12:50:21 2014  6 relations: 32861
Sat Dec 20 12:50:21 2014  7 relations: 28765
Sat Dec 20 12:50:21 2014  8 relations: 24690
Sat Dec 20 12:50:21 2014  9 relations: 21453
Sat Dec 20 12:50:21 2014  10+ relations: 99767
Sat Dec 20 12:50:21 2014  heaviest cycle: 27 relations
Sat Dec 20 12:50:22 2014  RelProcTime: 121
Sat Dec 20 12:50:22 2014  
Sat Dec 20 12:50:22 2014  commencing linear algebra
Sat Dec 20 12:50:22 2014  read 439705 cycles
Sat Dec 20 12:50:23 2014  cycles contain 1561354 unique relations
Sat Dec 20 12:50:36 2014  read 1561354 relations
Sat Dec 20 12:50:38 2014  using 20 quadratic characters above 67108820
Sat Dec 20 12:50:43 2014  building initial matrix
Sat Dec 20 12:50:58 2014  memory use: 191.9 MB
Sat Dec 20 12:50:58 2014  read 439705 cycles
Sat Dec 20 12:50:58 2014  matrix is 439525 x 439705 (131.3 MB) with weight 41594082 (94.60/col)
Sat Dec 20 12:50:58 2014  sparse part has weight 29590921 (67.30/col)
Sat Dec 20 12:51:01 2014  filtering completed in 2 passes
Sat Dec 20 12:51:01 2014  matrix is 438974 x 439154 (131.3 MB) with weight 41571371 (94.66/col)
Sat Dec 20 12:51:01 2014  sparse part has weight 29584390 (67.37/col)
Sat Dec 20 12:51:02 2014  matrix starts at (0, 0)
Sat Dec 20 12:51:03 2014  matrix is 438974 x 439154 (131.3 MB) with weight 41571371 (94.66/col)
Sat Dec 20 12:51:03 2014  sparse part has weight 29584390 (67.37/col)
Sat Dec 20 12:51:03 2014  saving the first 48 matrix rows for later
Sat Dec 20 12:51:03 2014  matrix includes 64 packed rows
Sat Dec 20 12:51:03 2014  matrix is 438926 x 439154 (126.3 MB) with weight 32905679 (74.93/col)
Sat Dec 20 12:51:03 2014  sparse part has weight 28713403 (65.38/col)
Sat Dec 20 12:51:03 2014  using block size 65536 for processor cache size 8192 kB
Sat Dec 20 12:51:04 2014  commencing Lanczos iteration (8 threads)
Sat Dec 20 12:51:04 2014  memory use: 120.2 MB
Sat Dec 20 12:51:25 2014  linear algebra at 2.8%, ETA 0h11m
Sat Dec 20 13:02:05 2014  lanczos halted after 6943 iterations (dim = 438925)
Sat Dec 20 13:02:05 2014  recovered 32 nontrivial dependencies
Sat Dec 20 13:02:05 2014  BLanczosTime: 703
Sat Dec 20 13:02:05 2014  
Sat Dec 20 13:02:05 2014  commencing square root phase
Sat Dec 20 13:02:05 2014  reading relations for dependency 1
Sat Dec 20 13:02:05 2014  read 219297 cycles
Sat Dec 20 13:02:05 2014  cycles contain 780100 unique relations
Sat Dec 20 13:02:11 2014  read 780100 relations
Sat Dec 20 13:02:13 2014  multiplying 780100 relations
Sat Dec 20 13:02:35 2014  multiply complete, coefficients have about 31.15 million bits
Sat Dec 20 13:02:35 2014  initial square root is modulo 884315213
Sat Dec 20 13:03:07 2014  sqrtTime: 62
--
n: 28557020668318486578056240202760263245860546765066249807078172941114689817414499508179712496774401124269721
skew: 25591788.46
c0: -3777113915827738325355830469740
c1: -41220327501509151269456
c2: -44778595355352473
c3: -3429967946
c4: 72
Y0: -141122898857986032420601267
Y1: 65182209878923
rlim: 2780000
alim: 2780000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:38 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 38 秒 (日本時間)

10202+1493

c191

composite cofactor 合成数の残り
20975193617414677227900324109615314066567293754152593046379318876174047109863091325067356051493884898734426851828423370456730996454991267083925778408567088298972246310833221201977604616953743<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:27 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 27 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:06 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 6 秒 (日本時間)
4511e6498 / 4342CypJune 8, 2015 05:55:11 UTC 2015 年 6 月 8 日 (月) 14 時 55 分 11 秒 (日本時間)

10205+1493

c175

composite cofactor 合成数の残り
3484381119527719239542412184424884878919447169843299698568482234984103272154323839188082205298186754449752646836853719101205362069954636421258891269567994162240628347568278733<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:28 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 28 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:06 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 6 秒 (日本時間)
4511e6498 / 4342CypJune 7, 2015 05:59:41 UTC 2015 年 6 月 7 日 (日) 14 時 59 分 41 秒 (日本時間)

10207+1493

c203

composite cofactor 合成数の残り
41402724299258891235043265846892725541340620212810002898190700948122386453028609282490787893843414896700202873349066368567051712002649774355152569039042769014201134434645799693619840185484204860679832733<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:30 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 30 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:49 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 49 秒 (日本時間)

10208+1493

c166

composite cofactor 合成数の残り
8004937832899126340252725002965700549215019599547458876439250218576771628279053784309952404387983714229979932324932004267534703649770758215830822276837872246622291903<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:28 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 28 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:07 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 7 秒 (日本時間)
4511e6498 / 4342CypJanuary 24, 2015 09:35:35 UTC 2015 年 1 月 24 日 (土) 18 時 35 分 35 秒 (日本時間)

10213+1493

c179

composite cofactor 合成数の残り
24803446051956443460146777425344803119900114581559370081235876558525434940842090900781576938346972331084432927500155522191539688273946496983106474326129492008550463146704721657471<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:29 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 29 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:07 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 7 秒 (日本時間)
4511e6498 / 4342CypMay 17, 2015 19:13:31 UTC 2015 年 5 月 18 日 (月) 4 時 13 分 31 秒 (日本時間)

10215+1493

c207

composite cofactor 合成数の残り
499253857620977584685024460668164518105223971196686983353074080490595597520571543020382892461472941766435934998605559012971728557095492430130783092706204187249093421145696439485741966345167651766919562210483<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:29 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 29 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:07 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 7 秒 (日本時間)
4511e6498 / 4342CypFebruary 10, 2015 05:47:52 UTC 2015 年 2 月 10 日 (火) 14 時 47 分 52 秒 (日本時間)

10216+1493

c193

name 名前Serge Batalov
date 日付December 21, 2014 01:57:44 UTC 2014 年 12 月 21 日 (日) 10 時 57 分 44 秒 (日本時間)
composite number 合成数
2600363964256053402349099387803434081017423087207810296991138014801629158759890263985146063441970297116911540936779013251250379479252454057309751316566898176295813960467352119874172144186546221<193>
prime factors 素因数
745654124490626478514311932317989053<36>
composite cofactor 合成数の残り
3487359459095625563279841754606578028515005644452630973729739156487875004098311783622669036638189741712646108105873196826906161537886525439095945584015633457<157>
factorization results 素因数分解の結果
Input number is 2600363964256053402349099387803434081017423087207810296991138014801629158759890263985146063441970297116911540936779013251250379479252454057309751316566898176295813960467352119874172144186546221 (193 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=297281508
Step 1 took 14070ms
Step 2 took 9295ms
********** Factor found in step 2: 745654124490626478514311932317989053
Found probable prime factor of 36 digits: 745654124490626478514311932317989053
Composite cofactor 3487359459095625563279841754606578028515005644452630973729739156487875004098311783622669036638189741712646108105873196826906161537886525439095945584015633457 has 157 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61300300Serge BatalovDecember 20, 2014 21:22:29 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 29 秒 (日本時間)
1000Dmitry DomanovNovember 23, 2016 10:18:13 UTC 2016 年 11 月 23 日 (水) 19 時 18 分 13 秒 (日本時間)
4511e6400 / 4188Dmitry DomanovJanuary 17, 2017 06:58:39 UTC 2017 年 1 月 17 日 (火) 15 時 58 分 39 秒 (日本時間)

10217+1493

c213

name 名前Serge Batalov
date 日付December 19, 2014 18:06:22 UTC 2014 年 12 月 20 日 (土) 3 時 6 分 22 秒 (日本時間)
composite number 合成数
294698376211947072171632334305837974832758671499720036542598650281436949282409453923908879262075265965284531282232634898181711018772286564701028497332979695281878996846727374532166327763534022927533669289482214953<213>
prime factors 素因数
324633648948716993184770231788169<33>
907787523463105779044400111122265208220547677966120011503399600735509164783596202962433628166448981156497273814160027848350436905545603923647310685817138664205512050412158438258337<180>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=894969379
Step 1 took 6366ms
Step 2 took 3513ms
********** Factor found in step 2: 324633648948716993184770231788169
Found probable prime factor of 33 digits: 324633648948716993184770231788169
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:36 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 36 秒 (日本時間)

10218+1493

c211

composite cofactor 合成数の残り
8181844438100787723436967029539649340874702988819591393779654583800618923804364572188127112807916556314039807782292246810573855750646181619110104962427743063575467655818931855299499279302232669892113381054759203<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:30 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 30 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:08 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 8 秒 (日本時間)
4511e6498 / 4342CypJune 20, 2015 20:12:41 UTC 2015 年 6 月 21 日 (日) 5 時 12 分 41 秒 (日本時間)

10219+1493

c187

name 名前Serge Batalov
date 日付December 21, 2014 01:57:48 UTC 2014 年 12 月 21 日 (日) 10 時 57 分 48 秒 (日本時間)
composite number 合成数
2004937105047311748930406687791134058128683756744624261334296084124580928579422895778351906604107017157706826111830892552513604293024328464486650043627817119402554466174859096714281196731<187>
prime factors 素因数
64405653200446393519922732168076352481<38>
composite cofactor 合成数の残り
31129831084974006506276456124419520959207098885025246467029558935132181783219781267124859348611207272865737793231426598130215904804118491813962804251<149>
factorization results 素因数分解の結果
Input number is 2004937105047311748930406687791134058128683756744624261334296084124580928579422895778351906604107017157706826111830892552513604293024328464486650043627817119402554466174859096714281196731 (187 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3923998367
Step 1 took 13778ms
Step 2 took 9416ms
********** Factor found in step 2: 64405653200446393519922732168076352481
Found probable prime factor of 38 digits: 64405653200446393519922732168076352481
Composite cofactor 31129831084974006506276456124419520959207098885025246467029558935132181783219781267124859348611207272865737793231426598130215904804118491813962804251 has 149 digits

c149

name 名前Serge Batalov
date 日付December 22, 2014 02:59:25 UTC 2014 年 12 月 22 日 (月) 11 時 59 分 25 秒 (日本時間)
composite number 合成数
31129831084974006506276456124419520959207098885025246467029558935132181783219781267124859348611207272865737793231426598130215904804118491813962804251<149>
prime factors 素因数
656144041805711801977947276558233094669659<42>
47443593329453316535558851819940695790309709462115329658880491429644368009144261872235589582052387520999489<107>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1587259781
Step 1 took 34026ms
********** Factor found in step 1: 656144041805711801977947276558233094669659
Found probable prime factor of 42 digits: 656144041805711801977947276558233094669659
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:22:30 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 30 秒 (日本時間)
4511e62000 / 4409Serge BatalovDecember 22, 2014 02:49:11 UTC 2014 年 12 月 22 日 (月) 11 時 49 分 11 秒 (日本時間)

10220+1493

c184

name 名前Erik Branger
date 日付February 4, 2018 08:40:11 UTC 2018 年 2 月 4 日 (日) 17 時 40 分 11 秒 (日本時間)
composite number 合成数
1601663436298102406154025021659325603556543303499684838610876031096886156759534200214093112071692259641777240627794207302737917860172531898312871849237936988940682066141776750395644879<184>
prime factors 素因数
15396934290035043220876096380839718041507204613878518936183<59>
15634051100058369080492107156202833323860881489784594574891013<62>
6653734659861312646089603281212214762099543284987567154264308501<64>
factorization results 素因数分解の結果
Number: 33383_220
N = 1601663436298102406154025021659325603556543303499684838610876031096886156759534200214093112071692259641777240627794207302737917860172531898312871849237936988940682066141776750395644879 (184 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=15396934290035043220876096380839718041507204613878518936183 (pp59)
r2=15634051100058369080492107156202833323860881489784594574891013 (pp62)
r3=6653734659861312646089603281212214762099543284987567154264308501 (pp64)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 60.66 hours.
Factorization parameters were as follows:
n: 1601663436298102406154025021659325603556543303499684838610876031096886156759534200214093112071692259641777240627794207302737917860172531898312871849237936988940682066141776750395644879
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c0: 149
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31138698
Relations: 7297616 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 28.03 hours.
Total relation processing time: 0.35 hours.
Pruned matrix : 6563463 x 6563688
Matrix solve time: 31.56 hours.
time per square root: 0.72 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,67108864,29,28,58,56,2.8,2.8,100000
total time: 60.66 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.16299-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:31 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 31 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:08 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 8 秒 (日本時間)
4511e6498 / 4342CypFebruary 4, 2015 17:34:47 UTC 2015 年 2 月 5 日 (木) 2 時 34 分 47 秒 (日本時間)

10221+1493

c213

name 名前Bob Backstrom
date 日付June 27, 2018 12:05:50 UTC 2018 年 6 月 27 日 (水) 21 時 5 分 50 秒 (日本時間)
composite number 合成数
113801519773093152631177569408181353082248784081118396999257855906966948045362564910637180205822953601981235296993009811066864814686453022817419799377548248609575591946542755748206658466151912121528706694537250627<213>
prime factors 素因数
2224468038633090537692640649632900973866251057563251161786121103216559029517395137040915842448689574267<103>
51158981741550599601202862841924330611293836152546429059038945399275914234799727379586893159583375645071205081<110>
factorization results 素因数分解の結果
Number: n
N=113801519773093152631177569408181353082248784081118396999257855906966948045362564910637180205822953601981235296993009811066864814686453022817419799377548248609575591946542755748206658466151912121528706694537250627
  ( 213 digits)
SNFS difficulty: 222 digits.
Divisors found:

Wed Jun 27 21:22:37 2018  p103 factor: 2224468038633090537692640649632900973866251057563251161786121103216559029517395137040915842448689574267
Wed Jun 27 21:22:37 2018  p110 factor: 51158981741550599601202862841924330611293836152546429059038945399275914234799727379586893159583375645071205081
Wed Jun 27 21:22:37 2018  elapsed time 08:07:49 (Msieve 1.53 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.117).
Factorization parameters were as follows:
#
# 10^221+149 = 3(219)83
#
n: 113801519773093152631177569408181353082248784081118396999257855906966948045362564910637180205822953601981235296993009811066864814686453022817419799377548248609575591946542755748206658466151912121528706694537250627
m: 10000000000000000000000000000000000000
deg: 6
c6: 1
c0: 1490
skew: 3.38
# Murphy_E = 2.158e-12
type: snfs
lss: 1
rlim: 35000000
alim: 35000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 35000000/35000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 82300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 14281258 hash collisions in 75013286 relations (61655182 unique)
Msieve: matrix is 4442293 x 4442520 (1264.7 MB)

Sieving start time: 2018/06/25 10:01:18
Sieving end time  : 2018/06/27 13:12:42

Total sieving time: 51hrs 11min 24secs.
Total relation processing time: 7hrs 40min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 35sec.

Prototype def-par.txt line would be:
snfs,222,6,0,0,0,0,0,0,0,0,35000000,35000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.036000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16286860K/16703460K available (12300K kernel code, 2470K rwdata, 4240K rodata, 2404K init, 2416K bss, 416600K reserved, 0K cma-reserved)
[    0.068658] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.63 BogoMIPS (lpj=11977272)
[    0.066211] smpboot: Total of 16 processors activated (95818.17 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:31 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 31 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:09 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 9 秒 (日本時間)
4511e6498 / 4342CypMay 16, 2015 18:10:14 UTC 2015 年 5 月 17 日 (日) 3 時 10 分 14 秒 (日本時間)

10222+1493

c193

name 名前Serge Batalov
date 日付December 21, 2014 01:57:51 UTC 2014 年 12 月 21 日 (日) 10 時 57 分 51 秒 (日本時間)
composite number 合成数
2630716329080426629632784206311878324847641589668016930354055060291779290969532419077181899387406269443525642615251357233402981013810807532421199469728860257154015167607093205005330935068977713<193>
prime factors 素因数
272054088400421309422793742353221<33>
9669828321816731204999619542606251404922389045555929256194350673262259725363251999132809052202846293780148113767734368609686710906588969218689278889532729517053<160>
factorization results 素因数分解の結果
Input number is 2630716329080426629632784206311878324847641589668016930354055060291779290969532419077181899387406269443525642615251357233402981013810807532421199469728860257154015167607093205005330935068977713 (193 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=849080936
Step 1 took 14065ms
Step 2 took 6746ms
********** Factor found in step 2: 272054088400421309422793742353221
Found probable prime factor of 33 digits: 272054088400421309422793742353221
Probable prime cofactor 9669828321816731204999619542606251404922389045555929256194350673262259725363251999132809052202846293780148113767734368609686710906588969218689278889532729517053 has 160 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:22:32 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 32 秒 (日本時間)

10223+1493

c200

composite cofactor 合成数の残り
26640042068422176831765628349321602792759376779984067645357890121726073820850333302419462531249262676259948470857537285671258883043173982297230601314419381500991350206728399096832306595993643727846177<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:32 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 32 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:09 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 9 秒 (日本時間)
4511e6498 / 4342CypJanuary 31, 2015 06:50:52 UTC 2015 年 1 月 31 日 (土) 15 時 50 分 52 秒 (日本時間)

10224+1493

c155

composite cofactor 合成数の残り
19916821708314888636993819160006145254423250220059593542318434839704854803170561076153240160509618775150798932296002733860243069385472791564668774072329999<155>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:59 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 59 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:20 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 20 秒 (日本時間)
4511e64000800Dmitry DomanovMarch 1, 2016 13:11:46 UTC 2016 年 3 月 1 日 (火) 22 時 11 分 46 秒 (日本時間)
3200Lionel DebrouxJanuary 3, 2018 15:44:06 UTC 2018 年 1 月 4 日 (木) 0 時 44 分 6 秒 (日本時間)

10225+1493

c206

name 名前Serge Batalov
date 日付December 21, 2014 01:57:55 UTC 2014 年 12 月 21 日 (日) 10 時 57 分 55 秒 (日本時間)
composite number 合成数
40039135792810327400011582803426171705504018456539868118949710621706511684131275594569997543456276706581941111623018076057441816896755162167802929981913791119376886679883558739809393533794554506053521021149<206>
prime factors 素因数
22251860526199053571980977632927<32>
composite cofactor 合成数の残り
1799361259957061359208563344364563319221536075986553230343994072951287970486317909763833701579841183185393538374384795162988369767026727958440365230413102346725814640231459587<175>
factorization results 素因数分解の結果
Input number is 40039135792810327400011582803426171705504018456539868118949710621706511684131275594569997543456276706581941111623018076057441816896755162167802929981913791119376886679883558739809393533794554506053521021149 (206 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=78787156
Step 1 took 15989ms
Step 2 took 10506ms
********** Factor found in step 2: 22251860526199053571980977632927
Found probable prime factor of 32 digits: 22251860526199053571980977632927
Composite cofactor 1799361259957061359208563344364563319221536075986553230343994072951287970486317909763833701579841183185393538374384795162988369767026727958440365230413102346725814640231459587 has 175 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:22:32 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 32 秒 (日本時間)
4511e6585 / 4409CypMay 31, 2015 07:34:16 UTC 2015 年 5 月 31 日 (日) 16 時 34 分 16 秒 (日本時間)

10226+1493

c196

composite cofactor 合成数の残り
7543499067486344464685478132997947494671117701714090260777402248610063013183766828201377968978790566985425913255026387812905673055399112347387526969860899733238711020926265237466698445201188632951<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61320300Serge BatalovDecember 20, 2014 21:22:33 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 33 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:09 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 9 秒 (日本時間)
720Dmitry DomanovNovember 23, 2016 11:52:32 UTC 2016 年 11 月 23 日 (水) 20 時 52 分 32 秒 (日本時間)
4511e6400 / 4183Dmitry DomanovJanuary 17, 2017 08:08:08 UTC 2017 年 1 月 17 日 (火) 17 時 8 分 8 秒 (日本時間)

10227+1493

c204

composite cofactor 合成数の残り
913195079315641722986910053579801182697192047704034322539826762294646347103098197293444939813376626747312047686122756693078900949670766002112437186328701236085214158835814996259364404054227079444197226767<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Serge BatalovDecember 20, 2014 21:22:33 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 33 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:10 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 10 秒 (日本時間)

10228+1493

c198

composite cofactor 合成数の残り
428885491235570719473096153352771781256842807049583924244743479392561865814220518335673490068354424699748360765287999507080213393426888606239355225129312646584551521246129432969015584368823194359731<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:34 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 34 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:10 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 10 秒 (日本時間)
4511e6498 / 4342CypJune 17, 2015 20:34:36 UTC 2015 年 6 月 18 日 (木) 5 時 34 分 36 秒 (日本時間)

10229+1493

c116

name 名前Cyp
date 日付December 22, 2014 05:23:36 UTC 2014 年 12 月 22 日 (月) 14 時 23 分 36 秒 (日本時間)
composite number 合成数
57207516114883883756173276947923449038885999293637211724788833738977689628572492471573256661371919210203287195535053<116>
prime factors 素因数
1714004328382279775603405193053319917945706981189015431<55>
33376529549886125800624224704256552423205450898103925900925963<62>
factorization results 素因数分解の結果
12/22/14 00:32:11 v1.34.3, 
12/22/14 00:32:11 v1.34.3, ****************************
12/22/14 00:32:11 v1.34.3, Starting factorization of 57207516114883883756173276947923449038885999293637211724788833738977689628572492471573256661371919210203287195535053
12/22/14 00:32:11 v1.34.3, using pretesting plan: none
12/22/14 00:32:11 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/22/14 00:32:11 v1.34.3, ****************************
12/22/14 00:32:11 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C116
12/22/14 00:32:11 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C116
12/22/14 00:32:11 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C116
12/22/14 00:32:11 v1.34.3, final ECM pretested depth: 0.00
12/22/14 00:32:11 v1.34.3, scheduler: switching to sieve method
12/22/14 00:32:11 v1.34.3, nfs: commencing nfs on c116: 57207516114883883756173276947923449038885999293637211724788833738977689628572492471573256661371919210203287195535053
12/22/14 00:32:11 v1.34.3, nfs: commencing poly selection with 8 threads
12/22/14 00:32:11 v1.34.3, nfs: setting deadline of 1012 seconds
12/22/14 00:49:22 v1.34.3, nfs: completed 73 ranges of size 250 in 1031.2710 seconds
12/22/14 00:49:22 v1.34.3, nfs: best poly = # norm 4.532839e-11 alpha -5.852113 e 4.491e-10 rroots 3
12/22/14 00:49:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 00:59:17 v1.34.3, nfs: commencing lattice sieving with 8 threads
[27 lines snipped]
12/22/14 05:32:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 05:42:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/22/14 05:52:01 v1.34.3, nfs: commencing msieve filtering
12/22/14 05:55:27 v1.34.3, nfs: commencing msieve linear algebra
12/22/14 06:18:12 v1.34.3, nfs: commencing msieve sqrt
12/22/14 06:23:36 v1.34.3, prp55 = 1714004328382279775603405193053319917945706981189015431
12/22/14 06:23:36 v1.34.3, prp62 = 33376529549886125800624224704256552423205450898103925900925963
12/22/14 06:23:36 v1.34.3, NFS elapsed time = 21085.0512 seconds.
12/22/14 06:23:36 v1.34.3, 
12/22/14 06:23:36 v1.34.3, 
12/22/14 06:23:36 v1.34.3, Total factoring time = 21085.0984 seconds
--
Mon Dec 22 05:52:01 2014  
Mon Dec 22 05:52:01 2014  commencing relation filtering
Mon Dec 22 05:52:01 2014  estimated available RAM is 15987.3 MB
Mon Dec 22 05:52:01 2014  commencing duplicate removal, pass 1
Mon Dec 22 05:52:51 2014  found 1083527 hash collisions in 10224852 relations
Mon Dec 22 05:53:07 2014  added 63257 free relations
Mon Dec 22 05:53:07 2014  commencing duplicate removal, pass 2
Mon Dec 22 05:53:19 2014  found 514515 duplicates and 9773594 unique relations
Mon Dec 22 05:53:19 2014  memory use: 41.3 MB
Mon Dec 22 05:53:19 2014  reading ideals above 100000
Mon Dec 22 05:53:19 2014  commencing singleton removal, initial pass
Mon Dec 22 05:54:38 2014  memory use: 344.5 MB
Mon Dec 22 05:54:38 2014  reading all ideals from disk
Mon Dec 22 05:54:38 2014  memory use: 341.7 MB
Mon Dec 22 05:54:39 2014  keeping 10752352 ideals with weight <= 200, target excess is 50543
Mon Dec 22 05:54:40 2014  commencing in-memory singleton removal
Mon Dec 22 05:54:41 2014  begin with 9773594 relations and 10752352 unique ideals
Mon Dec 22 05:54:50 2014  reduce to 3486604 relations and 3294039 ideals in 19 passes
Mon Dec 22 05:54:50 2014  max relations containing the same ideal: 101
Mon Dec 22 05:54:52 2014  removing 589013 relations and 522045 ideals in 66968 cliques
Mon Dec 22 05:54:52 2014  commencing in-memory singleton removal
Mon Dec 22 05:54:53 2014  begin with 2897591 relations and 3294039 unique ideals
Mon Dec 22 05:54:56 2014  reduce to 2812151 relations and 2684320 ideals in 11 passes
Mon Dec 22 05:54:56 2014  max relations containing the same ideal: 87
Mon Dec 22 05:54:57 2014  removing 438004 relations and 371036 ideals in 66968 cliques
Mon Dec 22 05:54:58 2014  commencing in-memory singleton removal
Mon Dec 22 05:54:58 2014  begin with 2374147 relations and 2684320 unique ideals
Mon Dec 22 05:55:01 2014  reduce to 2314888 relations and 2252482 ideals in 11 passes
Mon Dec 22 05:55:01 2014  max relations containing the same ideal: 79
Mon Dec 22 05:55:02 2014  relations with 0 large ideals: 155
Mon Dec 22 05:55:02 2014  relations with 1 large ideals: 536
Mon Dec 22 05:55:02 2014  relations with 2 large ideals: 8032
Mon Dec 22 05:55:02 2014  relations with 3 large ideals: 61765
Mon Dec 22 05:55:02 2014  relations with 4 large ideals: 245211
Mon Dec 22 05:55:02 2014  relations with 5 large ideals: 546736
Mon Dec 22 05:55:02 2014  relations with 6 large ideals: 694006
Mon Dec 22 05:55:02 2014  relations with 7+ large ideals: 758447
Mon Dec 22 05:55:02 2014  commencing 2-way merge
Mon Dec 22 05:55:04 2014  reduce to 1289325 relation sets and 1226922 unique ideals
Mon Dec 22 05:55:04 2014  ignored 3 oversize relation sets
Mon Dec 22 05:55:04 2014  commencing full merge
Mon Dec 22 05:55:23 2014  memory use: 137.3 MB
Mon Dec 22 05:55:23 2014  found 630733 cycles, need 621122
Mon Dec 22 05:55:23 2014  weight of 621122 cycles is about 43716750 (70.38/cycle)
Mon Dec 22 05:55:23 2014  distribution of cycle lengths:
Mon Dec 22 05:55:23 2014  1 relations: 71924
Mon Dec 22 05:55:23 2014  2 relations: 68640
Mon Dec 22 05:55:23 2014  3 relations: 68005
Mon Dec 22 05:55:23 2014  4 relations: 61724
Mon Dec 22 05:55:23 2014  5 relations: 56297
Mon Dec 22 05:55:23 2014  6 relations: 47768
Mon Dec 22 05:55:23 2014  7 relations: 43016
Mon Dec 22 05:55:23 2014  8 relations: 37448
Mon Dec 22 05:55:23 2014  9 relations: 31960
Mon Dec 22 05:55:23 2014  10+ relations: 134340
Mon Dec 22 05:55:23 2014  heaviest cycle: 22 relations
Mon Dec 22 05:55:23 2014  commencing cycle optimization
Mon Dec 22 05:55:23 2014  start with 3864057 relations
Mon Dec 22 05:55:27 2014  pruned 75883 relations
Mon Dec 22 05:55:27 2014  memory use: 131.0 MB
Mon Dec 22 05:55:27 2014  distribution of cycle lengths:
Mon Dec 22 05:55:27 2014  1 relations: 71924
Mon Dec 22 05:55:27 2014  2 relations: 69978
Mon Dec 22 05:55:27 2014  3 relations: 70105
Mon Dec 22 05:55:27 2014  4 relations: 62879
Mon Dec 22 05:55:27 2014  5 relations: 57204
Mon Dec 22 05:55:27 2014  6 relations: 48284
Mon Dec 22 05:55:27 2014  7 relations: 43428
Mon Dec 22 05:55:27 2014  8 relations: 37462
Mon Dec 22 05:55:27 2014  9 relations: 31703
Mon Dec 22 05:55:27 2014  10+ relations: 128155
Mon Dec 22 05:55:27 2014  heaviest cycle: 22 relations
Mon Dec 22 05:55:27 2014  RelProcTime: 206
Mon Dec 22 05:55:27 2014  
Mon Dec 22 05:55:27 2014  commencing linear algebra
Mon Dec 22 05:55:27 2014  read 621122 cycles
Mon Dec 22 05:55:28 2014  cycles contain 2216200 unique relations
Mon Dec 22 05:55:40 2014  read 2216200 relations
Mon Dec 22 05:55:42 2014  using 20 quadratic characters above 134216948
Mon Dec 22 05:55:49 2014  building initial matrix
Mon Dec 22 05:56:02 2014  memory use: 272.9 MB
Mon Dec 22 05:56:02 2014  read 621122 cycles
Mon Dec 22 05:56:02 2014  matrix is 620946 x 621122 (187.0 MB) with weight 59652066 (96.04/col)
Mon Dec 22 05:56:02 2014  sparse part has weight 42191689 (67.93/col)
Mon Dec 22 05:56:07 2014  filtering completed in 2 passes
Mon Dec 22 05:56:07 2014  matrix is 619236 x 619411 (186.8 MB) with weight 59574836 (96.18/col)
Mon Dec 22 05:56:07 2014  sparse part has weight 42165444 (68.07/col)
Mon Dec 22 05:56:08 2014  matrix starts at (0, 0)
Mon Dec 22 05:56:08 2014  matrix is 619236 x 619411 (186.8 MB) with weight 59574836 (96.18/col)
Mon Dec 22 05:56:08 2014  sparse part has weight 42165444 (68.07/col)
Mon Dec 22 05:56:08 2014  saving the first 48 matrix rows for later
Mon Dec 22 05:56:08 2014  matrix includes 64 packed rows
Mon Dec 22 05:56:08 2014  matrix is 619188 x 619411 (180.9 MB) with weight 47218501 (76.23/col)
Mon Dec 22 05:56:08 2014  sparse part has weight 41216674 (66.54/col)
Mon Dec 22 05:56:08 2014  using block size 65536 for processor cache size 8192 kB
Mon Dec 22 05:56:10 2014  commencing Lanczos iteration (8 threads)
Mon Dec 22 05:56:10 2014  memory use: 173.6 MB
Mon Dec 22 05:56:15 2014  linear algebra at 0.5%, ETA 0h16m
Mon Dec 22 06:18:11 2014  lanczos halted after 9793 iterations (dim = 619180)
Mon Dec 22 06:18:12 2014  recovered 26 nontrivial dependencies
Mon Dec 22 06:18:12 2014  BLanczosTime: 1365
Mon Dec 22 06:18:12 2014  
Mon Dec 22 06:18:12 2014  commencing square root phase
Mon Dec 22 06:18:12 2014  reading relations for dependency 1
Mon Dec 22 06:18:12 2014  read 309802 cycles
Mon Dec 22 06:18:12 2014  cycles contain 1107826 unique relations
Mon Dec 22 06:18:28 2014  read 1107826 relations
Mon Dec 22 06:18:33 2014  multiplying 1107826 relations
Mon Dec 22 06:19:34 2014  multiply complete, coefficients have about 46.39 million bits
Mon Dec 22 06:19:34 2014  initial square root is modulo 4568029
Mon Dec 22 06:20:58 2014  GCD is N, no factor found
Mon Dec 22 06:20:58 2014  reading relations for dependency 2
Mon Dec 22 06:20:58 2014  read 310376 cycles
Mon Dec 22 06:20:59 2014  cycles contain 1109766 unique relations
Mon Dec 22 06:21:16 2014  read 1109766 relations
Mon Dec 22 06:21:21 2014  multiplying 1109766 relations
Mon Dec 22 06:22:19 2014  multiply complete, coefficients have about 46.47 million bits
Mon Dec 22 06:22:20 2014  initial square root is modulo 4690381
Mon Dec 22 06:23:36 2014  sqrtTime: 324
--
n: 57207516114883883756173276947923449038885999293637211724788833738977689628572492471573256661371919210203287195535053
skew: 60856.80
c0: -77646898064304535345217024
c1: -105542927112193553126144
c2: -6090041196492456688
c3: 276546311329649
c4: 1075715754
c5: 1512
Y0: -32777827992002312442867
Y1: 46797870337
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:01:46 UTC 2014 年 12 月 20 日 (土) 3 時 1 分 46 秒 (日本時間)

10231+1493

c220

composite cofactor 合成数の残り
4072384709978282881175781543248080149029024995239275068507897133608664423493868300075146591482287770998089780419429040844719481129154156323184824477661521976217909783022689319678066275031732345109306370235239527171438113<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:34 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 34 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:11 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 11 秒 (日本時間)
4511e6498 / 4342CypMay 16, 2015 11:00:04 UTC 2015 年 5 月 16 日 (土) 20 時 0 分 4 秒 (日本時間)

10233+1493

c218

name 名前Serge Batalov
date 日付December 21, 2014 01:57:59 UTC 2014 年 12 月 21 日 (日) 10 時 57 分 59 秒 (日本時間)
composite number 合成数
99924998133717675272683736401606635242735539040529582676359899216987465355384877114619931006341611982477911595286656743608598178012390646169513466294550465126657256777839341217086530395864997573844552204494560140559589<218>
prime factors 素因数
2031562860535035513818118564324581<34>
composite cofactor 合成数の残り
49186269386417742623393560241546807335864541958582399876061955133877615489983639880277856568844337041545162996353100796621768775171961605647416686013184336669426980492721921165162733569<185>
factorization results 素因数分解の結果
Input number is 99924998133717675272683736401606635242735539040529582676359899216987465355384877114619931006341611982477911595286656743608598178012390646169513466294550465126657256777839341217086530395864997573844552204494560140559589 (218 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=801769056
Step 1 took 18076ms
Step 2 took 11274ms
********** Factor found in step 2: 2031562860535035513818118564324581
Found probable prime factor of 34 digits: 2031562860535035513818118564324581
Composite cofactor 49186269386417742623393560241546807335864541958582399876061955133877615489983639880277856568844337041545162996353100796621768775171961605647416686013184336669426980492721921165162733569 has 185 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:22:34 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 34 秒 (日本時間)
4511e6585 / 4409CypJune 3, 2015 05:21:57 UTC 2015 年 6 月 3 日 (水) 14 時 21 分 57 秒 (日本時間)

10235+1493

c190

composite cofactor 合成数の残り
1830375566101313851154135958402435290253735224253643608874448040028389625521020505043716653419944773315381938581794336847202597258162157346587112241689908460582166723875445260067764727216391<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:35 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 35 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:11 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 11 秒 (日本時間)
4511e6498 / 4342CypMay 18, 2015 15:59:11 UTC 2015 年 5 月 19 日 (火) 0 時 59 分 11 秒 (日本時間)

10236+1493

c207

composite cofactor 合成数の残り
281760094665032370488386968067878155330461587132950837895193089364540352470815544224379412251608078508335912147661428235706905879365822426143240645159373515434363432319792623009550647055569617155012606557411<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:35 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 35 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:12 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 12 秒 (日本時間)
4511e6498 / 4342CypJune 29, 2015 06:03:20 UTC 2015 年 6 月 29 日 (月) 15 時 3 分 20 秒 (日本時間)

10238+1493

c233

name 名前Serge Batalov
date 日付December 21, 2014 01:58:02 UTC 2014 年 12 月 21 日 (日) 10 時 58 分 2 秒 (日本時間)
composite number 合成数
10390009797779239305822665390773463499376079911643356679685348943284053516862466401305816431384894795955792586312408892601585723295337067502854655191939845999274777316115009096453577955724012247743549622167293703757962643758773064523<233>
prime factors 素因数
232702330265512412248974908057<30>
composite cofactor 合成数の残り
44649358628786743952773976998166849496771168772112566453196685333491764630045157981885984489975312738509128038417120687336892204239113440879408642053026807801998913359665483357604894810309185096754007939<203>
factorization results 素因数分解の結果
Input number is 10390009797779239305822665390773463499376079911643356679685348943284053516862466401305816431384894795955792586312408892601585723295337067502854655191939845999274777316115009096453577955724012247743549622167293703757962643758773064523 (233 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=511959866
Step 1 took 21398ms
Step 2 took 12564ms
********** Factor found in step 2: 232702330265512412248974908057
Found probable prime factor of 30 digits: 232702330265512412248974908057
Composite cofactor 44649358628786743952773976998166849496771168772112566453196685333491764630045157981885984489975312738509128038417120687336892204239113440879408642053026807801998913359665483357604894810309185096754007939 has 203 digits

c203

name 名前Cyp
date 日付January 31, 2015 17:35:07 UTC 2015 年 2 月 1 日 (日) 2 時 35 分 7 秒 (日本時間)
composite number 合成数
44649358628786743952773976998166849496771168772112566453196685333491764630045157981885984489975312738509128038417120687336892204239113440879408642053026807801998913359665483357604894810309185096754007939<203>
prime factors 素因数
67696070264840771064416337292653294433<38>
659556137514472966202805308384770929624583232744241028522560881363704067983429629800443728875097724654742556497430613892664750542973956205597228807038892661065290083<165>
factorization results 素因数分解の結果
Run 421 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3927576459
Step 1 took 68880ms
Step 2 took 427ms
********** Factor found in step 2: 67696070264840771064416337292653294433
Found probable prime factor of 38 digits: 67696070264840771064416337292653294433
Probable prime cofactor 659556137514472966202805308384770929624583232744241028522560881363704067983429629800443728875097724654742556497430613892664750542973956205597228807038892661065290083 has 165 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 866Serge BatalovDecember 20, 2014 21:22:36 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 36 秒 (日本時間)
4511e6421 / 4409CypJanuary 31, 2015 17:35:07 UTC 2015 年 2 月 1 日 (日) 2 時 35 分 7 秒 (日本時間)

10239+1493

c223

composite cofactor 合成数の残り
2956137608985998035603940417975871755696180676911283621468943834340200297941239256322602897013946012517928944669609200815594678564494149333222215512152281823485257725309517942271792611367063245286773437082683985619947142049<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:36 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 36 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:12 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 12 秒 (日本時間)
4511e6498 / 4342CypJune 27, 2015 09:02:03 UTC 2015 年 6 月 27 日 (土) 18 時 2 分 3 秒 (日本時間)

10240+1493

c237

name 名前Serge Batalov
date 日付December 19, 2014 18:11:43 UTC 2014 年 12 月 20 日 (土) 3 時 11 分 43 秒 (日本時間)
composite number 合成数
130667712008362733568535214948386253756696720240428590095387429766104795505030706912321965242388605775512870769632823729256500718672416045995034626943682216124395661831961322357245524630863713576375277668888017770808833137331765320789233<237>
prime factors 素因数
9166952893466221357263907096459<31>
58667625854349879340936718607889<32>
composite cofactor 合成数の残り
242965591330478399775014057801935953911995145391849121147903713177338550448294692277778606433768037551393004063894654439222173643436614031629909412546579587729058709797990083<174>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3758675347
Step 1 took 6954ms
Step 2 took 3854ms
********** Factor found in step 2: 9166952893466221357263907096459
Found probable prime factor of 31 digits: 9166952893466221357263907096459
Composite cofactor 

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=316421215
Step 1 took 6984ms
Step 2 took 3835ms
********** Factor found in step 2: 58667625854349879340936718607889
Found probable prime factor of 32 digits: 58667625854349879340936718607889
Composite cofactor

c174

name 名前Serge Batalov
date 日付December 18, 2016 09:00:31 UTC 2016 年 12 月 18 日 (日) 18 時 0 分 31 秒 (日本時間)
composite number 合成数
242965591330478399775014057801935953911995145391849121147903713177338550448294692277778606433768037551393004063894654439222173643436614031629909412546579587729058709797990083<174>
prime factors 素因数
75992860167335091554866359874524556103063<41>
3197216038394553926113246135425543352111773637550777643653362463739206869167381639775205745264987657355271129306710537591132572591541<133>
factorization results 素因数分解の結果
Using B1=22000000, B2=96186870796, polynomial Dickson(12), sigma=1:1788727042
Step 1 took 178000ms
Step 2 took 57682ms
********** Factor found in step 2: 75992860167335091554866359874524556103063
Found prime factor of 41 digits: 75992860167335091554866359874524556103063
Prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:49 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 49 秒 (日本時間)
403e61000Dmitry DomanovNovember 23, 2016 11:51:50 UTC 2016 年 11 月 23 日 (水) 20 時 51 分 50 秒 (日本時間)
4511e60--
5043e61600 / 7509Serge BatalovDecember 18, 2016 01:31:56 UTC 2016 年 12 月 18 日 (日) 10 時 31 分 56 秒 (日本時間)

10241+1493

c208

composite cofactor 合成数の残り
4757219336086544596306458795104133062168286464220878128148804656148480921885540784443049289278625193768896132459818173753688067258374158723971044348287195043763850564783239665516772430490015494097848104154971<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:37 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 37 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:12 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 12 秒 (日本時間)
4511e6498 / 4342CypJune 12, 2015 22:43:43 UTC 2015 年 6 月 13 日 (土) 7 時 43 分 43 秒 (日本時間)

10242+1493

c223

name 名前Serge Batalov
date 日付December 20, 2014 22:15:04 UTC 2014 年 12 月 21 日 (日) 7 時 15 分 4 秒 (日本時間)
composite number 合成数
2756081921144016406611840104242471785105764959572307865620682090701591937639743656027359635790210769086784273181045348371307398981493894237096460235254161015365108486561230991444439429639868733439209534446942480889544475693<223>
prime factors 素因数
6017787979402976242957969819721<31>
11261141535880349455584032087153<32>
40669873622150063627860028815056574326213313968404841390198900281963897575302573549759995092755238404922933554370947157011234844105200420422115142327920157370261<161>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1617143913
Step 1 took 18161ms
Step 2 took 11580ms
********** Factor found in step 2: 6017787979402976242957969819721
Found probable prime factor of 31 digits: 6017787979402976242957969819721

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3531050889
Step 1 took 18192ms
Step 2 took 11565ms
********** Factor found in step 2: 11261141535880349455584032087153
Found probable prime factor of 32 digits: 11261141535880349455584032087153

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 20, 2014 21:22:37 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 37 秒 (日本時間)

10245+1493

c213

composite cofactor 合成数の残り
363103832244683852786263098706876972478839561484375745025466063354171690751551208040187819137736882974765906421323706660331454398606327497448894064644254611606210912520210609637353794742092023340021290370931123639<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:37 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 37 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:13 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 13 秒 (日本時間)
4511e6498 / 4342CypJune 11, 2015 21:09:12 UTC 2015 年 6 月 12 日 (金) 6 時 9 分 12 秒 (日本時間)

10246+1493

c215

name 名前Cyp
date 日付May 17, 2015 03:35:08 UTC 2015 年 5 月 17 日 (日) 12 時 35 分 8 秒 (日本時間)
composite number 合成数
37691057937495961975127841007052709507849733830194192238679500707024122742830340902764112739533502252284568862364283267611314958473781505348531456532969491705365942197656176407924739295868644535260750220727921545121<215>
prime factors 素因数
272764873628356047822651977404410525307<39>
composite cofactor 合成数の残り
138181494692202481982013599881713836528158651592289310337155464249822643070539267152002050039939833487379397699332599499281396623020139567747906227983139669935683137079224755603<177>
factorization results 素因数分解の結果
Run 12 out of 498:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=94221622
Step 1 took 80436ms
Step 2 took 23260ms
********** Factor found in step 2: 272764873628356047822651977404410525307
Found probable prime factor of 39 digits: 272764873628356047822651977404410525307
Composite cofactor 138181494692202481982013599881713836528158651592289310337155464249822643070539267152002050039939833487379397699332599499281396623020139567747906227983139669935683137079224755603 has 177 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6600300Serge BatalovDecember 20, 2014 21:22:38 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 38 秒 (日本時間)
300Serge BatalovDecember 20, 2014 23:07:13 UTC 2014 年 12 月 21 日 (日) 8 時 7 分 13 秒 (日本時間)
4511e6498 / 4342CypMay 17, 2015 03:35:07 UTC 2015 年 5 月 17 日 (日) 12 時 35 分 7 秒 (日本時間)

10248+1493

c168

composite cofactor 合成数の残り
150834999344520038389032664207280518946513512618681421386143417472690383488766957856901654185500724090297179460666598752439200565317591142240887366486530371441080517393<168>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
1000Serge BatalovDecember 19, 2014 18:02:02 UTC 2014 年 12 月 20 日 (土) 3 時 2 分 2 秒 (日本時間)
403e62320Serge BatalovDecember 20, 2014 01:02:23 UTC 2014 年 12 月 20 日 (土) 10 時 2 分 23 秒 (日本時間)
4511e60--
5043e62000 / 7459Serge BatalovFebruary 5, 2015 02:55:20 UTC 2015 年 2 月 5 日 (木) 11 時 55 分 20 秒 (日本時間)

10250+1493

c231

name 名前Serge Batalov
date 日付December 21, 2014 01:58:06 UTC 2014 年 12 月 21 日 (日) 10 時 58 分 6 秒 (日本時間)
composite number 合成数
402440681301021557439837060272937757511706951026005963585753532477551213994866457690795527794705358394136473092371122097745833913454636479513622978322646232553948307527892830266258837882674402340392839183187235080828613623277396059<231>
prime factors 素因数
33149604478259295203262079725099839<35>
composite cofactor 合成数の残り
12140135233437148661682256561321002943989701870049455596051737609720568014700956884169989250505733862634320704651733956577990969655432053712113210421517353112300826339829550979348231539834879786981<197>
factorization results 素因数分解の結果
Input number is 402440681301021557439837060272937757511706951026005963585753532477551213994866457690795527794705358394136473092371122097745833913454636479513622978322646232553948307527892830266258837882674402340392839183187235080828613623277396059 (231 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3224208158
Step 1 took 18157ms
Step 2 took 11713ms
********** Factor found in step 2: 33149604478259295203262079725099839
Found probable prime factor of 35 digits: 33149604478259295203262079725099839
Composite cofactor 12140135233437148661682256561321002943989701870049455596051737609720568014700956884169989250505733862634320704651733956577990969655432053712113210421517353112300826339829550979348231539834879786981 has 197 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 19, 2014 10:00:00 UTC 2014 年 12 月 19 日 (金) 19 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 20, 2014 21:22:38 UTC 2014 年 12 月 21 日 (日) 6 時 22 分 38 秒 (日本時間)
4511e6600 / 2725Dmitry DomanovApril 21, 2015 11:02:22 UTC 2015 年 4 月 21 日 (火) 20 時 2 分 22 秒 (日本時間)
5043e6480 / 7407Dmitry DomanovJune 20, 2015 13:53:06 UTC 2015 年 6 月 20 日 (土) 22 時 53 分 6 秒 (日本時間)

10251+1493

c204

composite cofactor 合成数の残り
418723532150980934962573060015341520773985232048878791842471993299123160524646984614458585130261337629097654536911032414694491898735645234734361290957359395593343937745462321727641487956748114077465425007<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6800 / 2104Dmitry DomanovNovember 14, 2016 08:51:41 UTC 2016 年 11 月 14 日 (月) 17 時 51 分 41 秒 (日本時間)

10252+1493

c198

composite cofactor 合成数の残り
196602437269751970201170487449789107015939193612794777342416684795348772492318278938502662702431065628522190348669328388842594055117335321888142898874904445892157665923908401495554836797513952954513<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6800Dmitry DomanovNovember 14, 2016 06:29:56 UTC 2016 年 11 月 14 日 (月) 15 時 29 分 56 秒 (日本時間)
4511e6400 / 4262Dmitry DomanovJanuary 17, 2017 09:38:57 UTC 2017 年 1 月 17 日 (火) 18 時 38 分 57 秒 (日本時間)

10253+1493

c194

composite cofactor 合成数の残り
87278240533856156997635478438968108428523527776754234305803186279392109848371435514097303124834724728713726698260527812898117915338636038329787791001024424525832076687493375096334485270049902103<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6800Dmitry DomanovNovember 14, 2016 06:30:24 UTC 2016 年 11 月 14 日 (月) 15 時 30 分 24 秒 (日本時間)
4511e6400 / 4262Dmitry DomanovJanuary 17, 2017 09:39:29 UTC 2017 年 1 月 17 日 (火) 18 時 39 分 29 秒 (日本時間)

10254+1493

c184

composite cofactor 合成数の残り
9467226703615731387421544907472224538683546226667421471306459084952347805146857656778052216304672144578050995759880533821200437835081063397104741850196693060927801710924581858470565119<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6800Dmitry DomanovNovember 14, 2016 08:07:53 UTC 2016 年 11 月 14 日 (月) 17 時 7 分 53 秒 (日本時間)
4511e6400 / 4262Dmitry DomanovJanuary 17, 2017 12:03:39 UTC 2017 年 1 月 17 日 (火) 21 時 3 分 39 秒 (日本時間)

10255+1493

c249

composite cofactor 合成数の残り
711312934301003449156418425565724959472945568200328484313060203392820434028926251786284606263394911694055771201926804476434558143074906231172435770220314955141049798307217478950471991697555430838687741446284136796858273031779327965765931097961305999<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61200 / 2104Dmitry DomanovNovember 14, 2016 13:14:09 UTC 2016 年 11 月 14 日 (月) 22 時 14 分 9 秒 (日本時間)

10256+1493

c206

composite cofactor 合成数の残り
46351931296636432639704618616132064279668321665294834668504141401729448569100052578223729219474696504417050199377360392801278305938354391092152919252831053219803045207813334372463757501145667001120036689367<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6800 / 2104Dmitry DomanovNovember 14, 2016 09:36:18 UTC 2016 年 11 月 14 日 (月) 18 時 36 分 18 秒 (日本時間)

10257+1493

c255

composite cofactor 合成数の残り
250626566416040100250626566416040100250626566416040100250626566416040100250626566416040100250626566416040100250626566416040100250626566416040100250626566416040100250626566416040100250626566416040100250626566416040100250626566416040100250626566416040100251<255>

ECM

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

10258+1493

c250

composite cofactor 合成数の残り
1277687796401768217184121216510418162160304611298809623893546804095174907735704672820243633316527522440921955442245431736206850120990198689536700707374344155028269219413289060326822751231051872411154576814846496077483771636912952910250247919026372359<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61200 / 2104Dmitry DomanovNovember 14, 2016 13:14:23 UTC 2016 年 11 月 14 日 (月) 22 時 14 分 23 秒 (日本時間)

10259+1493

c227

name 名前Dmitry Domanov
date 日付November 14, 2016 16:33:33 UTC 2016 年 11 月 15 日 (火) 1 時 33 分 33 秒 (日本時間)
composite number 合成数
34993688222147897060364681288059337351732127553726064006088385866931426141294429906037050010191941450310575094069592043748123540321005260839420117392340772201485974950951030391160054774589654376825680182604970312871268746345707<227>
prime factors 素因数
7249166629721217210959107084412285429849<40>
4827270500125565053240404315121023805493933173360108720753074408928159892893525430047514635828483902646578717392037982495973090166399498702485097901490705057429971202767484496230785967843<187>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=747958071
Step 1 took 21812ms
Step 2 took 8836ms
********** Factor found in step 2: 7249166629721217210959107084412285429849
Found probable prime factor of 40 digits: 7249166629721217210959107084412285429849

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61200 / 2104Dmitry DomanovNovember 14, 2016 13:14:37 UTC 2016 年 11 月 14 日 (月) 22 時 14 分 37 秒 (日本時間)

10260+1493

c227

composite cofactor 合成数の残り
90913752889070565248672965440024461190668263975512472803234930631548915847989120114213487875733568948414758174590081753647625066287998381687506419960137179940347243119817801434369075879938700589951654696708387710788665776772439<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61200 / 2104Dmitry DomanovNovember 14, 2016 13:14:53 UTC 2016 年 11 月 14 日 (月) 22 時 14 分 53 秒 (日本時間)

10261+1493

c207

composite cofactor 合成数の残り
274764544171642717477006330694013992097842884831610748190532739943929507526962864512467821241788312792239405941514257913852067824617302618536706027241355014023664000633092414736658584800631599964881711237403<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6800 / 2104Dmitry DomanovNovember 14, 2016 09:36:32 UTC 2016 年 11 月 14 日 (月) 18 時 36 分 32 秒 (日本時間)

10263+1493

c219

composite cofactor 合成数の残り
189892536835936995195870821978490941716495331809811456708003187851199910799998915316646225009864542078491367115557358283932347529238451180963613904620486425030837966932201934076283910569949277982700226814516425615396929<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6800 / 2104Dmitry DomanovNovember 14, 2016 09:36:50 UTC 2016 年 11 月 14 日 (月) 18 時 36 分 50 秒 (日本時間)

10264+1493

c247

name 名前Dmitry Domanov
date 日付November 15, 2016 06:47:17 UTC 2016 年 11 月 15 日 (火) 15 時 47 分 17 秒 (日本時間)
composite number 合成数
2955970130862012441078667598325170551794565488013547076235232500687243534285571811742645343826392944587676625949047592693678349107974830604048266113080391345490146612765145105232021402315193721999048317561602819224289107981294275118712120996933377<247>
prime factors 素因数
174413804354957677840831682805049609<36>
composite cofactor 合成数の残り
16948028522135665322001745998743679497882513860656699538855568444870219740730083660929990055166960318881606962195309044043766485463293228633439184541824173384557911133163533326525002442632486067030410287957584953<212>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=956146304
Step 1 took 27916ms
Step 2 took 10486ms
********** Factor found in step 2: 174413804354957677840831682805049609
Found probable prime factor of 36 digits: 174413804354957677840831682805049609

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61200 / 2104Dmitry DomanovNovember 14, 2016 13:15:08 UTC 2016 年 11 月 14 日 (月) 22 時 15 分 8 秒 (日本時間)

10265+1493

c185

composite cofactor 合成数の残り
31713340746430561280587837314765753353937755182547437717531940173321842217605336038585422005990353007361308987738767084115515671147222902644853254370108666664613910311992491381943826711<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6800Dmitry DomanovNovember 14, 2016 08:08:33 UTC 2016 年 11 月 14 日 (月) 17 時 8 分 33 秒 (日本時間)
4511e6400 / 4262Dmitry DomanovJanuary 17, 2017 12:04:20 UTC 2017 年 1 月 17 日 (火) 21 時 4 分 20 秒 (日本時間)

10266+1493

c213

composite cofactor 合成数の残り
359439936241919455089804817107461756759945946608791752725391777610190154488894789646953609383900995294495316419477580099114620025638914254719897695305916635882320588380566610425894473565651882793177228053827268379<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6800 / 2104Dmitry DomanovNovember 14, 2016 09:37:14 UTC 2016 年 11 月 14 日 (月) 18 時 37 分 14 秒 (日本時間)

10268+1493

c243

name 名前Dmitry Domanov
date 日付November 15, 2016 06:47:50 UTC 2016 年 11 月 15 日 (火) 15 時 47 分 50 秒 (日本時間)
composite number 合成数
328727899585824513329237743957691868260707346828729571272624823606077068743273192674696087718498596344771696521224384581471406713535593707037860747028896985044656460081433469746651349249194794788833302065134399947921274283747032925345483922383<243>
prime factors 素因数
20631489119262330774682716209245239421<38>
composite cofactor 合成数の残り
15933309403193385458035808611587076875673527884297445065690930289891106471835242520641248988318848812167956557283179290074651849711782737958076289475872172142124085814028023406518187921139267631908808401723<206>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1334793734
Step 1 took 26814ms
Step 2 took 8799ms
********** Factor found in step 2: 20631489119262330774682716209245239421
Found probable prime factor of 38 digits: 20631489119262330774682716209245239421

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61200 / 2104Dmitry DomanovNovember 14, 2016 13:15:23 UTC 2016 年 11 月 14 日 (月) 22 時 15 分 23 秒 (日本時間)

10269+1493

c220

composite cofactor 合成数の残り
8464094193173404002032051722211395883025775833161396752844911651385023869165080145640576152668730725273698430423943314148293460614874505088138424632072958356978801636675084216420583463923034342762102247866832024012201783<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6800 / 2104Dmitry DomanovNovember 14, 2016 09:41:52 UTC 2016 年 11 月 14 日 (月) 18 時 41 分 52 秒 (日本時間)

10270+1493

c210

composite cofactor 合成数の残り
131679232619111993143002515715560219627470300579372429794625852547967690521852564243850447794630911047011632088376692901964109662025138137415907528907156375070324005676401048791467475249581415105725633919832273<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6800 / 2104Dmitry DomanovNovember 14, 2016 09:42:26 UTC 2016 年 11 月 14 日 (月) 18 時 42 分 26 秒 (日本時間)

10271+1493

c242

composite cofactor 合成数の残り
10188842305610403416589806709132781360599292172730128127458596402706650901398096670444501636471316220001270383060575021386743471358388680280904913188160676886170022061519859119293511680100782500508363081966765624971089735853594923212223091977<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61200 / 2104Dmitry DomanovNovember 14, 2016 13:15:39 UTC 2016 年 11 月 14 日 (月) 22 時 15 分 39 秒 (日本時間)

10272+1493

c243

composite cofactor 合成数の残り
573027352418826663952739582531950407323092852666308409085666561481824866226741658740643210671604840657824648670106902133158717656893356627888560188684445178228732548594629060635751848560958560471807765303789431901908963225987210434547473807077<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61200 / 2104Dmitry DomanovNovember 14, 2016 13:15:51 UTC 2016 年 11 月 14 日 (月) 22 時 15 分 51 秒 (日本時間)

10273+1493

c203

composite cofactor 合成数の残り
73285974619428323710739481221355077638357862980282815012004830689466137539816399277090243885990628912124524375091715441820154846284640631655986957527637972068413436191745191765011858367988113679786287221<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6800 / 2104Dmitry DomanovNovember 14, 2016 11:22:51 UTC 2016 年 11 月 14 日 (月) 20 時 22 分 51 秒 (日本時間)

10274+1493

c197

name 名前Dmitry Domanov
date 日付January 17, 2017 13:56:52 UTC 2017 年 1 月 17 日 (火) 22 時 56 分 52 秒 (日本時間)
composite number 合成数
55161864375455804946458221895741318957418360117765058188324045990256735297645294324463315616228559515379824462538249697576787083012061743025201365791294636065998800864473660089241318957555949079201<197>
prime factors 素因数
23376342068091113291465270823307343999<38>
composite cofactor 合成数の残り
2359730372475690885122420436875427830887610399067739737044831668127376517564273684376308767680984057557141943650649322929359927723574351510932257036093562776799<160>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3218042729
Step 1 took 84033ms
Step 2 took 23345ms
********** Factor found in step 2: 23376342068091113291465270823307343999
Found probable prime factor of 38 digits: 23376342068091113291465270823307343999

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6800Dmitry DomanovNovember 14, 2016 08:09:09 UTC 2016 年 11 月 14 日 (月) 17 時 9 分 9 秒 (日本時間)
4511e62400400Dmitry DomanovJanuary 17, 2017 12:04:38 UTC 2017 年 1 月 17 日 (火) 21 時 4 分 38 秒 (日本時間)
2000Dmitry DomanovJanuary 19, 2017 00:46:44 UTC 2017 年 1 月 19 日 (木) 9 時 46 分 44 秒 (日本時間)
5043e6540 / 6979Dmitry DomanovJanuary 19, 2017 20:09:50 UTC 2017 年 1 月 20 日 (金) 5 時 9 分 50 秒 (日本時間)

10275+1493

c233

composite cofactor 合成数の残り
28659626539383767000187564437594678885893033569113728341753251542915157782922196182318742145526049413707101355856896827998580498026447151859879684197650381003701543044162896542612216287797582138036998332059506794550257996611383601957<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6800 / 2104Dmitry DomanovNovember 14, 2016 13:02:39 UTC 2016 年 11 月 14 日 (月) 22 時 2 分 39 秒 (日本時間)

10279+1493

c198

name 名前Dmitry Domanov
date 日付November 14, 2016 08:54:29 UTC 2016 年 11 月 14 日 (月) 17 時 54 分 29 秒 (日本時間)
composite number 合成数
701829360283807798686207890449565618161593278024707688040664245014784029964670203971120324306980514118473583049272220496750365732276025483728042034818775513291986130663262112766869753558519616903497<198>
prime factors 素因数
5502479576537848379542376162231336459<37>
composite cofactor 合成数の残り
127547835575138607658138112107762568300644494042656545913987963736969237215129680145373592764001995438235230901641842042767777765899250332320917383431677211778683<162>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1541264073
Step 1 took 39984ms
Step 2 took 12912ms
********** Factor found in step 2: 5502479576537848379542376162231336459
Found probable prime factor of 37 digits: 5502479576537848379542376162231336459

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6800Dmitry DomanovNovember 14, 2016 08:09:57 UTC 2016 年 11 月 14 日 (月) 17 時 9 分 57 秒 (日本時間)
4511e61600Dmitry DomanovNovember 15, 2016 06:49:56 UTC 2016 年 11 月 15 日 (火) 15 時 49 分 56 秒 (日本時間)
5043e6760 / 7159360Dmitry DomanovNovember 17, 2016 00:35:35 UTC 2016 年 11 月 17 日 (木) 9 時 35 分 35 秒 (日本時間)
400Dmitry DomanovNovember 19, 2016 01:26:40 UTC 2016 年 11 月 19 日 (土) 10 時 26 分 40 秒 (日本時間)

10280+1493

c241

composite cofactor 合成数の残り
5956161927378986097794766984195054460461921585227923134952375641274011487137517708834821661015741628742995073472397605249030212389732328314874359687161682496089502543072200639806610918314842401529736226399133918598885733851368585124816853521<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6800 / 2104Dmitry DomanovNovember 14, 2016 12:22:12 UTC 2016 年 11 月 14 日 (月) 21 時 22 分 12 秒 (日本時間)

10281+1493

c220

name 名前Dmitry Domanov
date 日付November 14, 2016 12:22:52 UTC 2016 年 11 月 14 日 (月) 21 時 22 分 52 秒 (日本時間)
composite number 合成数
3162573971425492306572318239137055997631192611639082539064343722145069582202251597406590298650470706354333611660684608502088799461336057708061366965417224673762141686817744894556687642287728544069568689047222709164947571<220>
prime factors 素因数
390857737746957511521040732903204481<36>
composite cofactor 合成数の残り
8091368459674584507799967569307484099362850667992760009691726246286354703956684988062902071511407853591027480998830411085603860956632256783790681542590773653651465174729527715299355891<184>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3933292114
Step 1 took 21171ms
Step 2 took 7169ms
********** Factor found in step 2: 390857737746957511521040732903204481
Found probable prime factor of 36 digits: 390857737746957511521040732903204481

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6800Dmitry DomanovNovember 14, 2016 11:23:09 UTC 2016 年 11 月 14 日 (月) 20 時 23 分 9 秒 (日本時間)
4511e61600Dmitry DomanovNovember 15, 2016 06:51:26 UTC 2016 年 11 月 15 日 (火) 15 時 51 分 26 秒 (日本時間)
5043e6800 / 7159Dmitry DomanovNovember 21, 2016 18:50:23 UTC 2016 年 11 月 22 日 (火) 3 時 50 分 23 秒 (日本時間)

10282+1493

c250

composite cofactor 合成数の残り
9678041940760518635206045518224325450595675995992196102953923311597527965613671072852463243054999613642779922353543839593216206498033919810681266996765128705146154195446578944016006065907530831908023081179063763595223268986087793641952138361132953383<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61200 / 2104Dmitry DomanovNovember 14, 2016 13:16:14 UTC 2016 年 11 月 14 日 (月) 22 時 16 分 14 秒 (日本時間)

10284+1493

c228

composite cofactor 合成数の残り
236330497651270179892277610277751453026698363359528562909828345243657606417515996105398671133954337182960784353685333044221587902422671755259516091357868706929923140529950772413238883090301559097253347441960015580736437624169551<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6800 / 2104Dmitry DomanovNovember 14, 2016 12:21:48 UTC 2016 年 11 月 14 日 (月) 21 時 21 分 48 秒 (日本時間)

10285+1493

c261

composite cofactor 合成数の残り
430462414777927076311730942662511444589146853316051911443843374382973203953055435684137664077306652848273822823890651893951948151334129228652665529573766327444796415215992300209723812671091796662526354563074174128608183309808920127120532285560760149130569854087<261>

ECM

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

10288+1493

c278

composite cofactor 合成数の残り
44215552490979444420319481001728755014089028687812864919065498463418842732529062063669749774650716719494849456149895970092465526097511288749309916652576839224898052203937715131823527704178275084693671552611187028942075549122807559068020946539476312719819075558664479571068894073<278>

ECM

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

10289+1493

c287

composite cofactor 合成数の残り
40160642570281124497991967871485943775100401606425702811244979919678714859437751004016064257028112449799196787148594377510040160642570281124497991967871485943775100401606425702811244979919678714859437751004016064257028112449799196787148594377510040160642570281124497991967871485943775101<287>

ECM

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

10290+1493

c250

composite cofactor 合成数の残り
1231242433323796725725162080737551564998866731640487168370576001579859714624510066212922817163902254899956568432885255258193654035189519989492415474457760095524965763894834196371311871809856683363948275760008251317552053677213869807059778980872090133<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e61200 / 2104Dmitry DomanovNovember 14, 2016 13:16:31 UTC 2016 年 11 月 14 日 (月) 22 時 16 分 31 秒 (日本時間)

10292+1493

c264

composite cofactor 合成数の残り
420412553898991666099985947731848226331695551454470191513861719300177841718721690542169792429595677527643025558231288920228346238331034396914604884846060453045054762007619903026333924797726112589083797816773252437277697108999287743322362213655137921163330493317729<264>

ECM

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

10293+1493

c216

composite cofactor 合成数の残り
267627428328574016915515820969375920605475916094097106842652249166230433649931131384634303481299738077144694995324932317746286462041333754737769456173524892386833430739808061254234524829295596158947802096179246978761<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6800 / 2104Dmitry DomanovNovember 14, 2016 11:23:29 UTC 2016 年 11 月 14 日 (月) 20 時 23 分 29 秒 (日本時間)

10294+1493

c284

composite cofactor 合成数の残り
34404792997466917493034727380559356693706042701819779325175752480353936247311055859052614577558156607426129442205412225920176786006700466858043926358474551146036716525284510008212999680682200827117047896728595200825118095018782769827562307399480903586566547520381049905014530152659337<284>

ECM

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

10296+1493

c233

name 名前Dmitry Domanov
date 日付November 14, 2016 13:46:48 UTC 2016 年 11 月 14 日 (月) 22 時 46 分 48 秒 (日本時間)
composite number 合成数
37585871455566891324062011882970271257654661683806355581226803075537160915064784809454146949008222369422920543089747664462369408499637832458585834492606603494172448459271635485173840151185407471033290485636954478368882835313495075433<233>
prime factors 素因数
37324582352021392477829588019973220635037<41>
composite cofactor 合成数の残り
1007000456189467534035237734106175469779785547453170548513011128606401023518336157599916061914598947466757011589850636924401896385936120989738856196128055138175839691074264205667300233633077309<193>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2306052450
Step 1 took 52703ms
Step 2 took 15600ms
********** Factor found in step 2: 37324582352021392477829588019973220635037
Found probable prime factor of 41 digits: 37324582352021392477829588019973220635037

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6800Dmitry DomanovNovember 14, 2016 12:04:41 UTC 2016 年 11 月 14 日 (月) 21 時 4 分 41 秒 (日本時間)
4511e61600Dmitry DomanovNovember 15, 2016 12:12:29 UTC 2016 年 11 月 15 日 (火) 21 時 12 分 29 秒 (日本時間)
5043e6880 / 7159Dmitry DomanovDecember 7, 2016 20:03:30 UTC 2016 年 12 月 8 日 (木) 5 時 3 分 30 秒 (日本時間)

10297+1493

c241

composite cofactor 合成数の残り
4771802324815869754175654658651329425513239486586656223328568612696357293362558691451095151499007085190994947398868560495649690744784456157891645259305923890521125659348592452600526549216835267817946370648035978738133893335218413657363179393<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaNovember 12, 2016 13:00:00 UTC 2016 年 11 月 12 日 (土) 22 時 0 分 0 秒 (日本時間)
403e6800 / 2104Dmitry DomanovNovember 14, 2016 12:04:17 UTC 2016 年 11 月 14 日 (月) 21 時 4 分 17 秒 (日本時間)