Table of contents 目次

26×10107-113

c91

name 名前Erik Branger
date 日付October 23, 2009 20:00:36 UTC 2009 年 10 月 24 日 (土) 5 時 0 分 36 秒 (日本時間)
composite number 合成数
1351584953282562236353361499271620221383262966791354356378814555478909569263862450281178003<91>
prime factors 素因数
3978386986036076319565900111<28>
339731895873013988365966755540530078047599588313131089726670973<63>
factorization results 素因数分解の結果
Number: 86663_107
N=1351584953282562236353361499271620221383262966791354356378814555478909569263862450281178003
  ( 91 digits)
SNFS difficulty: 109 digits.
Divisors found:
 r1=3978386986036076319565900111 (pp28)
 r2=339731895873013988365966755540530078047599588313131089726670973 (pp63)
Version: Msieve-1.40
Total time: 0.60 hours.
Scaled time: 0.55 units (timescale=0.922).
Factorization parameters were as follows:
n: 1351584953282562236353361499271620221383262966791354356378814555478909569263862450281178003
m: 2000000000000000000000
deg: 5
c5: 325
c0: -44
skew: 0.67
type: snfs
lss: 1
rlim: 460000
alim: 460000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 460000/460000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [230000, 330001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 44372 x 44597
Total sieving time: 0.58 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,109.000,5,0,0,0,0,0,0,0,0,460000,460000,25,25,44,44,2.2,2.2,50000
total time: 0.60 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)

26×10110-113

c99

name 名前Erik Branger
date 日付October 23, 2009 20:28:55 UTC 2009 年 10 月 24 日 (土) 5 時 28 分 55 秒 (日本時間)
composite number 合成数
152035699922309336604290501684473783819776715715277959163551715561100466551758956332833140021281223<99>
prime factors 素因数
12272738724182301305612091265295950998101974637<47>
12388082508652856169851007015980590350203785032347779<53>
factorization results 素因数分解の結果
Number: 86663_110
N=152035699922309336604290501684473783819776715715277959163551715561100466551758956332833140021281223
  ( 99 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=12272738724182301305612091265295950998101974637 (pp47)
 r2=12388082508652856169851007015980590350203785032347779 (pp53)
Version: Msieve-1.40
Total time: 0.82 hours.
Scaled time: 0.75 units (timescale=0.920).
Factorization parameters were as follows:
n: 152035699922309336604290501684473783819776715715277959163551715561100466551758956332833140021281223
m: 10000000000000000000000
deg: 5
c5: 26
c0: -11
skew: 0.84
type: snfs
lss: 1
rlim: 500000
alim: 500000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [250000, 400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 51155 x 51381
Total sieving time: 0.79 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,111.000,5,0,0,0,0,0,0,0,0,500000,500000,25,25,44,44,2.2,2.2,50000
total time: 0.82 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)

26×10119-113

c113

name 名前Serge Batalov
date 日付October 25, 2009 06:33:05 UTC 2009 年 10 月 25 日 (日) 15 時 33 分 5 秒 (日本時間)
composite number 合成数
26972453790247530461781583895312188568657048061416609249055660677236196149119949520845251137975605926059727739429<113>
prime factors 素因数
1274995380145892465903774193098344924077906451577513651<55>
21154942370976421697486933878627177564197928329200354011079<59>
factorization results 素因数分解の結果
SNFS difficulty: 121 digits.
Divisors found:
 r1=1274995380145892465903774193098344924077906451577513651 (pp55)
 r2=21154942370976421697486933878627177564197928329200354011079 (pp59)
Version: Msieve v. 1.44 SVN130
Total time: 0.74 hours.
Scaled time: 1.77 units (timescale=2.400).
Factorization parameters were as follows:
n: 26972453790247530461781583895312188568657048061416609249055660677236196149119949520845251137975605926059727739429
m: 1000000000000000000000000
deg: 5
c5: 13
c0: -55
skew: 1.33
type: snfs
lss: 1
rlim: 730000
alim: 730000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
name: 86663_119
Factor base limits: 730000/730000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [456250, 706251)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 76157 x 76382
Total sieving time: 0.70 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,5,0,0,0,0,0,0,0,0,730000,730000,25,25,46,46,2.2,2.2,50000
total time: 0.74 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)

26×10121-113

c105

name 名前Sinkiti Sibata
date 日付October 24, 2009 09:50:12 UTC 2009 年 10 月 24 日 (土) 18 時 50 分 12 秒 (日本時間)
composite number 合成数
535290799916460909322632937046079933332540413019329214648720061719617671786879004686665942761564855733477<105>
prime factors 素因数
789884894421491276071791572937175094431<39>
677682031517397071638948408764507850205264432110583575670993308667<66>
factorization results 素因数分解の結果
Number: 86663_121
N=535290799916460909322632937046079933332540413019329214648720061719617671786879004686665942761564855733477
  ( 105 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=789884894421491276071791572937175094431 (pp39)
 r2=677682031517397071638948408764507850205264432110583575670993308667 (pp66)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 3.21 hours.
Scaled time: 1.50 units (timescale=0.469).
Factorization parameters were as follows:
name: 86663_121
n: 535290799916460909322632937046079933332540413019329214648720061719617671786879004686665942761564855733477
m: 2000000000000000000000000
deg: 5
c5: 65
c0: -88
skew: 1.06
type: snfs
lss: 1
rlim: 800000
alim: 800000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [400000, 700001)
Primes: RFBsize:63951, AFBsize:64009, largePrimes:1439328 encountered
Relations: rels:1469098, finalFF:201631
Max relations in full relation-set: 28
Initial matrix: 128027 x 201631 with sparse part having weight 9518384.
Pruned matrix : 99188 x 99892 with weight 3617086.
Total sieving time: 3.03 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,123,5,0,0,0,0,0,0,0,0,800000,800000,25,25,46,46,2.2,2.2,50000
total time: 3.21 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4  2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)

26×10122-113

c102

name 名前Sinkiti Sibata
date 日付October 24, 2009 13:30:52 UTC 2009 年 10 月 24 日 (土) 22 時 30 分 52 秒 (日本時間)
composite number 合成数
248695300833336709755409333590044888311569315534462185870771869373467855384404691791683714454457199963<102>
prime factors 素因数
120746948127208544826323464254407158937<39>
2059640468687729008837858895651778106818536471694582461670919699<64>
factorization results 素因数分解の結果
Number: 86663_122
N=248695300833336709755409333590044888311569315534462185870771869373467855384404691791683714454457199963
  ( 102 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=120746948127208544826323464254407158937 (pp39)
 r2=2059640468687729008837858895651778106818536471694582461670919699 (pp64)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 3.28 hours.
Scaled time: 1.54 units (timescale=0.469).
Factorization parameters were as follows:
name: 86663_122
n: 248695300833336709755409333590044888311569315534462185870771869373467855384404691791683714454457199963
m: 2000000000000000000000000
deg: 5
c5: 325
c0: -44
skew: 0.67
type: snfs
lss: 1
rlim: 820000
alim: 820000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 820000/820000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [410000, 710001)
Primes: RFBsize:65416, AFBsize:65484, largePrimes:1429398 encountered
Relations: rels:1437565, finalFF:182524
Max relations in full relation-set: 28
Initial matrix: 130967 x 182524 with sparse part having weight 8950961.
Pruned matrix : 108472 x 109190 with weight 4019574.
Total sieving time: 3.09 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,124,5,0,0,0,0,0,0,0,0,820000,820000,25,25,46,46,2.2,2.2,50000
total time: 3.28 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4  2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)

26×10124-113

c107

name 名前Erik Branger
date 日付October 24, 2009 10:01:50 UTC 2009 年 10 月 24 日 (土) 19 時 1 分 50 秒 (日本時間)
composite number 合成数
49495980595325626435872640529294835369469109074742694477217163577982039477317528441557433297428732515319171<107>
prime factors 素因数
438878110517843642539991775562600262919496931<45>
112778421637215029419777137694092275643046196593126789882595041<63>
factorization results 素因数分解の結果
Number: 86663_124
N=49495980595325626435872640529294835369469109074742694477217163577982039477317528441557433297428732515319171
  ( 107 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=438878110517843642539991775562600262919496931 (pp45)
 r2=112778421637215029419777137694092275643046196593126789882595041 (pp63)
Version: Msieve-1.40
Total time: 1.72 hours.
Scaled time: 1.70 units (timescale=0.994).
Factorization parameters were as follows:
n: 49495980595325626435872640529294835369469109074742694477217163577982039477317528441557433297428732515319171
m: 10000000000000000000000000
deg: 5
c5: 13
c0: -55
skew: 1.33
type: snfs
lss: 1
rlim: 890000
alim: 890000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 890000/890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [445000, 695001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 123067 x 123293
Total sieving time: 1.62 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,126.000,5,0,0,0,0,0,0,0,0,890000,890000,26,26,46,46,2.3,2.3,50000
total time: 1.72 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)

26×10128-113

c109

name 名前Sinkiti Sibata
date 日付October 25, 2009 02:22:26 UTC 2009 年 10 月 25 日 (日) 11 時 22 分 26 秒 (日本時間)
composite number 合成数
1620796040984907771562505445804590777389195101791022914125100946213000619690680554239828560158443812097391899<109>
prime factors 素因数
28231457338923355714210349805249384803656629093653461<53>
57410994463621940343419240971956483368602008129962515759<56>
factorization results 素因数分解の結果
Number: 86663_128
N=1620796040984907771562505445804590777389195101791022914125100946213000619690680554239828560158443812097391899
  ( 109 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=28231457338923355714210349805249384803656629093653461 (pp53)
 r2=57410994463621940343419240971956483368602008129962515759 (pp56)
Version: GGNFS-0.77.1-20060513-k8
Total time: 4.82 hours.
Scaled time: 9.40 units (timescale=1.949).
Factorization parameters were as follows:
name: 86663_128
n: 1620796040984907771562505445804590777389195101791022914125100946213000619690680554239828560158443812097391899
m: 50000000000000000000000000
deg: 5
c5: 208
c0: -275
skew: 1.06
type: snfs
lss: 1
rlim: 1060000
alim: 1060000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1060000/1060000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [530000, 980001)
Primes: RFBsize:82832, AFBsize:83234, largePrimes:2781623 encountered
Relations: rels:2702185, finalFF:229580
Max relations in full relation-set: 28
Initial matrix: 166133 x 229580 with sparse part having weight 17710428.
Pruned matrix : 146994 x 147888 with weight 8493934.
Total sieving time: 4.56 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,130,5,0,0,0,0,0,0,0,0,1060000,1060000,26,26,47,47,2.3,2.3,50000
total time: 4.82 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)

26×10133-113

c106

name 名前Jo Yeong Uk
date 日付October 24, 2009 11:21:19 UTC 2009 年 10 月 24 日 (土) 20 時 21 分 19 秒 (日本時間)
composite number 合成数
4201141039052149243603287764147523672856402177150099821931686403318057752296883188700119512080564817536449<106>
prime factors 素因数
550163656152061301729216721644787738922797889<45>
7636166060905673296895325749165505687838183112138994178407041<61>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 4201141039052149243603287764147523672856402177150099821931686403318057752296883188700119512080564817536449 (106 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3051414086
Step 1 took 3463ms
Step 2 took 3744ms
********** Factor found in step 2: 550163656152061301729216721644787738922797889
Found probable prime factor of 45 digits: 550163656152061301729216721644787738922797889
Probable prime cofactor 7636166060905673296895325749165505687838183112138994178407041 has 61 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)

26×10134-113

c131

name 名前Erik Branger
date 日付October 24, 2009 12:11:43 UTC 2009 年 10 月 24 日 (土) 21 時 11 分 43 秒 (日本時間)
composite number 合成数
11298109304862097885080846662929599742750741981601463539697645213295267395829259495843599403807462835738526987272245325407275113307<131>
prime factors 素因数
5793892158320044697483839891106768191867<40>
1950003382206205302748093895603935525675119062485432522884303420606445893015445347133372321<91>
factorization results 素因数分解の結果
Number: 86663_134
N=11298109304862097885080846662929599742750741981601463539697645213295267395829259495843599403807462835738526987272245325407275113307
  ( 131 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=5793892158320044697483839891106768191867 (pp40)
 r2=1950003382206205302748093895603935525675119062485432522884303420606445893015445347133372321 (pp91)
Version: Msieve-1.40
Total time: 3.59 hours.
Scaled time: 3.70 units (timescale=1.029).
Factorization parameters were as follows:
n: 11298109304862097885080846662929599742750741981601463539697645213295267395829259495843599403807462835738526987272245325407275113307
m: 1000000000000000000000000000
deg: 5
c5: 13
c0: -55
skew: 1.33
type: snfs
lss: 1
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
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: 48/48
Sieved rational special-q in [650000, 1175001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 190282 x 190507
Total sieving time: 3.43 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,48,48,2.3,2.3,75000
total time: 3.59 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)

26×10135-113

c122

name 名前Serge Batalov
date 日付October 24, 2009 08:02:26 UTC 2009 年 10 月 24 日 (土) 17 時 2 分 26 秒 (日本時間)
composite number 合成数
13658955385511305022882052331294067781611210426750455286119522546217556785598629976241203404459225134770113593536774367637<122>
prime factors 素因数
5454710823688942334175811855714794721<37>
2504065903217569708844174464681505132806673398424266096733702746000918751373630975797<85>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=765632283
Step 1 took 5037ms
Step 2 took 3092ms
********** Factor found in step 2: 5454710823688942334175811855714794721
Found probable prime factor of 37 digits: 5454710823688942334175811855714794721
Probable prime cofactor 2504065903217569708844174464681505132806673398424266096733702746000918751373630975797 has 85 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)

26×10137-113

c102

name 名前Jo Yeong Uk
date 日付October 24, 2009 11:53:52 UTC 2009 年 10 月 24 日 (土) 20 時 53 分 52 秒 (日本時間)
composite number 合成数
317477821896066397184834973712219743381652191068754392191236772976186795003721381583904453464961156659<102>
prime factors 素因数
2800432686063638191873112356083593<34>
113367417640850910889863553364828353318982821587846623336743491667163<69>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 317477821896066397184834973712219743381652191068754392191236772976186795003721381583904453464961156659 (102 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=6788081729
Step 1 took 3494ms
Step 2 took 3666ms
********** Factor found in step 2: 2800432686063638191873112356083593
Found probable prime factor of 34 digits: 2800432686063638191873112356083593
Probable prime cofactor 113367417640850910889863553364828353318982821587846623336743491667163 has 69 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)

26×10139-113

c124

name 名前Sinkiti Sibata
date 日付October 25, 2009 11:53:42 UTC 2009 年 10 月 25 日 (日) 20 時 53 分 42 秒 (日本時間)
composite number 合成数
7430960587165421962000123662758431206353926455170965852483838812840294402028743639310757689822470021911230605916761692902351<124>
prime factors 素因数
8870595788892487911104375936030780894093930167133280256610899<61>
837707045164910241217663948652115615923423788814338069923561749<63>
factorization results 素因数分解の結果
Number: 86663_139
N=7430960587165421962000123662758431206353926455170965852483838812840294402028743639310757689822470021911230605916761692902351
  ( 124 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=8870595788892487911104375936030780894093930167133280256610899 (pp61)
 r2=837707045164910241217663948652115615923423788814338069923561749 (pp63)
Version: Msieve-1.40
Total time: 6.51 hours.
Scaled time: 13.48 units (timescale=2.071).
Factorization parameters were as follows:
name: 86663_139
n: 7430960587165421962000123662758431206353926455170965852483838812840294402028743639310757689822470021911230605916761692902351
m: 10000000000000000000000000000
deg: 5
c5: 13
c0: -55
skew: 1.33
type: snfs
lss: 1
rlim: 1570000
alim: 1570000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1570000/1570000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [785000, 1585001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 229759 x 229996
Total sieving time: 6.20 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1570000,1570000,26,26,48,48,2.3,2.3,100000
total time: 6.51 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--
351e6150 / 904Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)

26×10142-113

c143

name 名前Dmitry Domanov
date 日付October 23, 2009 22:10:27 UTC 2009 年 10 月 24 日 (土) 7 時 10 分 27 秒 (日本時間)
composite number 合成数
86666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<143>
prime factors 素因数
9115691638023963245342223206652254475126670948607632921<55>
9507415356741232292647529763366614856021224385838795802922228204646406610693093895859903<88>
factorization results 素因数分解の結果
Number: snfs144
N=86666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663
  ( 143 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=9115691638023963245342223206652254475126670948607632921 (pp55)
 r2=9507415356741232292647529763366614856021224385838795802922228204646406610693093895859903 (pp88)
Version: Msieve-1.40
Total time: 6.14 hours.
Scaled time: 11.17 units (timescale=1.818).
Factorization parameters were as follows:
n: 86666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663
m: 20000000000000000000000000000
deg: 5
c5: 325
c0: -44
skew: 0.67
type: snfs
lss: 1
rlim: 1760000
alim: 1760000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1760000/1760000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [880000, 1980001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 250506 x 250735
Total sieving time: 5.88 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,144.000,5,0,0,0,0,0,0,0,0,1760000,1760000,26,26,49,49,2.3,2.3,100000
total time: 6.14 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)

26×10146-113

c147

name 名前Erik Branger
date 日付October 24, 2009 08:40:12 UTC 2009 年 10 月 24 日 (土) 17 時 40 分 12 秒 (日本時間)
composite number 合成数
866666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<147>
prime factors 素因数
131158134929014941897991043155494762191194655999220655657005466227475003<72>
6607799562991054291615354621323538605634856746762653073904905905353439897221<76>
factorization results 素因数分解の結果
Number: 86663_146
N=866666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663
  ( 147 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=131158134929014941897991043155494762191194655999220655657005466227475003 (pp72)
 r2=6607799562991054291615354621323538605634856746762653073904905905353439897221 (pp76)
Version: Msieve-1.40
Total time: 9.56 hours.
Scaled time: 9.83 units (timescale=1.029).
Factorization parameters were as follows:
n: 866666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663
m: 200000000000000000000000000000
deg: 5
c5: 65
c0: -88
skew: 1.06
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 344320 x 344545
Total sieving time: 9.20 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,148.000,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 9.56 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)

26×10147-113

c93

name 名前Norbert Schneider
date 日付October 25, 2009 12:56:45 UTC 2009 年 10 月 25 日 (日) 21 時 56 分 45 秒 (日本時間)
composite number 合成数
731677098486017412808124512800179508883325488052549521445809992284550135852428581537284030647<93>
prime factors 素因数
126483774862839140088316862326098266953543<42>
5784750647104411502104764644569097235027045860205329<52>
factorization results 素因数分解の結果
Sat Oct 24 19:10:22 2009  
Sat Oct 24 19:10:22 2009  
Sat Oct 24 19:10:22 2009  Msieve v. 1.43
Sat Oct 24 19:10:22 2009  random seeds: b616bf80 3a42ab57
Sat Oct 24 19:10:22 2009  factoring 731677098486017412808124512800179508883325488052549521445809992284550135852428581537284030647 (93 digits)
Sat Oct 24 19:10:24 2009  searching for 15-digit factors
Sat Oct 24 19:10:24 2009  commencing quadratic sieve (93-digit input)
Sat Oct 24 19:10:25 2009  using multiplier of 47
Sat Oct 24 19:10:25 2009  using 64kb Pentium 4 sieve core
Sat Oct 24 19:10:25 2009  sieve interval: 18 blocks of size 65536
Sat Oct 24 19:10:25 2009  processing polynomials in batches of 6
Sat Oct 24 19:10:25 2009  using a sieve bound of 1956901 (72705 primes)
Sat Oct 24 19:10:25 2009  using large prime bound of 244612625 (27 bits)
Sat Oct 24 19:10:25 2009  using double large prime bound of 1256787622996125 (42-51 bits)
Sat Oct 24 19:10:25 2009  using trial factoring cutoff of 51 bits
Sat Oct 24 19:10:25 2009  polynomial 'A' values have 12 factors
Sat Oct 24 23:59:39 2009  73218 relations (18983 full + 54235 combined from 989961 partial), need 72801
Sat Oct 24 23:59:45 2009  begin with 1008944 relations
Sat Oct 24 23:59:47 2009  reduce to 185654 relations in 13 passes
Sat Oct 24 23:59:47 2009  attempting to read 185654 relations
Sat Oct 24 23:59:53 2009  recovered 185654 relations
Sat Oct 24 23:59:53 2009  recovered 166490 polynomials
Sat Oct 24 23:59:53 2009  attempting to build 73218 cycles
Sat Oct 24 23:59:54 2009  found 73218 cycles in 6 passes
Sat Oct 24 23:59:54 2009  distribution of cycle lengths:
Sat Oct 24 23:59:54 2009     length 1 : 18983
Sat Oct 24 23:59:54 2009     length 2 : 13497
Sat Oct 24 23:59:54 2009     length 3 : 12531
Sat Oct 24 23:59:54 2009     length 4 : 9663
Sat Oct 24 23:59:54 2009     length 5 : 7152
Sat Oct 24 23:59:54 2009     length 6 : 4604
Sat Oct 24 23:59:54 2009     length 7 : 2958
Sat Oct 24 23:59:54 2009     length 9+: 3830
Sat Oct 24 23:59:54 2009  largest cycle: 21 relations
Sat Oct 24 23:59:54 2009  matrix is 72705 x 73218 (19.0 MB) with weight 4700937 (64.20/col)
Sat Oct 24 23:59:54 2009  sparse part has weight 4700937 (64.20/col)
Sat Oct 24 23:59:58 2009  filtering completed in 3 passes
Sat Oct 24 23:59:58 2009  matrix is 68396 x 68460 (17.8 MB) with weight 4402031 (64.30/col)
Sat Oct 24 23:59:58 2009  sparse part has weight 4402031 (64.30/col)
Sat Oct 24 23:59:58 2009  saving the first 48 matrix rows for later
Sat Oct 24 23:59:58 2009  matrix is 68348 x 68460 (11.8 MB) with weight 3524777 (51.49/col)
Sat Oct 24 23:59:58 2009  sparse part has weight 2669452 (38.99/col)
Sat Oct 24 23:59:58 2009  matrix includes 64 packed rows
Sat Oct 24 23:59:59 2009  using block size 10922 for processor cache size 256 kB
Sun Oct 25 00:00:00 2009  commencing Lanczos iteration
Sun Oct 25 00:00:00 2009  memory use: 11.6 MB
Sun Oct 25 00:00:23 2009  linear algebra at 35.2%, ETA 0h 0m
Sun Oct 25 00:01:04 2009  lanczos halted after 1082 iterations (dim = 68345)
Sun Oct 25 00:01:04 2009  recovered 16 nontrivial dependencies
Sun Oct 25 00:01:05 2009  prp42 factor: 126483774862839140088316862326098266953543
Sun Oct 25 00:01:05 2009  prp52 factor: 5784750647104411502104764644569097235027045860205329
Sun Oct 25 00:01:05 2009  elapsed time 04:50:43
execution environment 実行環境
Intel Celeron 2.80 GHz, 512 MB RAM, WIndows XP

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)

26×10149-113

c105

name 名前Jo Yeong Uk
date 日付October 25, 2009 00:31:23 UTC 2009 年 10 月 25 日 (日) 9 時 31 分 23 秒 (日本時間)
composite number 合成数
312812675251746883894906550322388849288538455287149121253041175155208857123669318024554523653217239503213<105>
prime factors 素因数
14879455248887629252872247910309<32>
21023126856417165892087401739868084915754062458746846717606000991769788457<74>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 312812675251746883894906550322388849288538455287149121253041175155208857123669318024554523653217239503213 (105 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=7586851862
Step 1 took 2674ms
Step 2 took 1850ms
********** Factor found in step 2: 14879455248887629252872247910309
Found probable prime factor of 32 digits: 14879455248887629252872247910309
Probable prime cofactor 21023126856417165892087401739868084915754062458746846717606000991769788457 has 74 digits
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)

26×10152-113

c149

name 名前Dmitry Domanov
date 日付October 24, 2009 09:02:20 UTC 2009 年 10 月 24 日 (土) 18 時 2 分 20 秒 (日本時間)
composite number 合成数
13724155040723790822763094691391259824647526748906026487619228596916287932772754385131461569726625388631121105111192048435710251415963303720829572387<149>
prime factors 素因数
232675221140264800583789692746517<33>
58984171040930859733047313827260929303323028868561821673181544466560112712053036164869422569370489494475243023777111<116>
factorization results 素因数分解の結果
Number: s149
N=13724155040723790822763094691391259824647526748906026487619228596916287932772754385131461569726625388631121105111192048435710251415963303720829572387
  ( 149 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=232675221140264800583789692746517 (pp33)
 r2=58984171040930859733047313827260929303323028868561821673181544466560112712053036164869422569370489494475243023777111 (pp116)
Version: Msieve-1.40
Total time: 13.58 hours.
Scaled time: 25.79 units (timescale=1.899).
Factorization parameters were as follows:
n: 13724155040723790822763094691391259824647526748906026487619228596916287932772754385131461569726625388631121105111192048435710251415963303720829572387
m: 2000000000000000000000000000000
deg: 5
c5: 325
c0: -44
skew: 0.67
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, 2100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 458985 x 459215
Total sieving time: 13.15 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,154.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 13.58 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)

26×10154-113

c132

name 名前Jo Yeong Uk
date 日付November 9, 2009 22:46:51 UTC 2009 年 11 月 10 日 (火) 7 時 46 分 51 秒 (日本時間)
composite number 合成数
518937293737305764742350084321901012525716106131552754160789873608663212996406969680024139053939523745253009213500521776057405245831<132>
prime factors 素因数
99846047824272537592965345005720564798732938551338279<53>
5197374408355423148064024399326141532315371063525619734573070180253227577341089<79>
factorization results 素因数分解の結果
Number: 86663_154
N=518937293737305764742350084321901012525716106131552754160789873608663212996406969680024139053939523745253009213500521776057405245831
  ( 132 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=99846047824272537592965345005720564798732938551338279
 r2=5197374408355423148064024399326141532315371063525619734573070180253227577341089
Version: 
Total time: 10.11 hours.
Scaled time: 24.03 units (timescale=2.376).
Factorization parameters were as follows:
n: 518937293737305764742350084321901012525716106131552754160789873608663212996406969680024139053939523745253009213500521776057405245831
m: 10000000000000000000000000000000
deg: 5
c5: 13
c0: -55
skew: 1.33
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 2100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 7809905
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 491291 x 491539
Total sieving time: 9.02 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 0.50 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 10.11 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)

26×10155-113

c110

name 名前Jo Yeong Uk
date 日付November 7, 2009 02:05:04 UTC 2009 年 11 月 7 日 (土) 11 時 5 分 4 秒 (日本時間)
composite number 合成数
10012174542443186661944529159441458449529896878553572027502711511349648695308726206045539833575579812190176063<110>
prime factors 素因数
50356743151076883375850389237566626845654858552124607<53>
198824902404933934450436748117874509387381569435016167809<57>
factorization results 素因数分解の結果
Number: 86663_155
N=10012174542443186661944529159441458449529896878553572027502711511349648695308726206045539833575579812190176063
  ( 110 digits)
Divisors found:
 r1=50356743151076883375850389237566626845654858552124607
 r2=198824902404933934450436748117874509387381569435016167809
Version: 
Total time: 9.20 hours.
Scaled time: 21.96 units (timescale=2.387).
Factorization parameters were as follows:
name: 86663_155
n: 10012174542443186661944529159441458449529896878553572027502711511349648695308726206045539833575579812190176063
skew: 19361.44
# norm 7.28e+14
c5: 36960
c4: -373375372
c3: 24010419126067
c2: 188419687096119335
c1: -10703912390072075189035
c0: -9921381275227903704194995
# alpha -5.79
Y1: 308100795223
Y0: -770122196696138062932
# Murphy_E 1.05e-09
# M 6923705748279385336736257457255098262017080868569703732932894391890534226799406036569569582345272734642801167
type: gnfs
rlim: 2100000
alim: 2100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [1050000, 1700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 7841955
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 402815 x 403063
Polynomial selection time: 0.80 hours.
Total sieving time: 7.42 hours.
Total relation processing time: 0.49 hours.
Matrix solve time: 0.34 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2100000,2100000,27,27,51,51,2.6,2.6,50000
total time: 9.20 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)

26×10156-113

c110

name 名前Jo Yeong Uk
date 日付November 7, 2009 11:23:36 UTC 2009 年 11 月 7 日 (土) 20 時 23 分 36 秒 (日本時間)
composite number 合成数
30262513953557411191067054802305039488066876688632568417434093173819283820734068340557697961554591668893884799<110>
prime factors 素因数
694703188931333880775047897831384327876136440996742187<54>
43561789316255219047093334112623127241673869427391777277<56>
factorization results 素因数分解の結果
Number: 86663_156
N=30262513953557411191067054802305039488066876688632568417434093173819283820734068340557697961554591668893884799
  ( 110 digits)
Divisors found:
 r1=694703188931333880775047897831384327876136440996742187
 r2=43561789316255219047093334112623127241673869427391777277
Version: 
Total time: 8.76 hours.
Scaled time: 20.90 units (timescale=2.387).
Factorization parameters were as follows:
name: 86663_156
n: 30262513953557411191067054802305039488066876688632568417434093173819283820734068340557697961554591668893884799
skew: 46936.13
# norm 2.00e+15
c5: 4800
c4: -1514434876
c3: -32339594241746
c2: 4238527376382421943
c1: -26343690099191295496866
c0: -124555876330930538048212671
# alpha -6.41
Y1: 329728317391
Y0: -1445236780624805468530
# Murphy_E 1.08e-09
# M 26147608521632649352970030633720039196717174907616904289542536532064184713838448536232324936389216869986608630
type: gnfs
rlim: 2100000
alim: 2100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [1050000, 1650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 7866072
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 385170 x 385418
Polynomial selection time: 0.66 hours.
Total sieving time: 7.20 hours.
Total relation processing time: 0.46 hours.
Matrix solve time: 0.36 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2100000,2100000,27,27,51,51,2.6,2.6,50000
total time: 8.76 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
software ソフトウェア
GGNFS / Msieve 1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)

26×10157-113

c136

name 名前Jo Yeong Uk
date 日付November 14, 2009 15:20:25 UTC 2009 年 11 月 15 日 (日) 0 時 20 分 25 秒 (日本時間)
composite number 合成数
6246372461835497797590085235144227805300158049988539661664127319813743185508874489362779286942419837673553038815625648251966340584727431<136>
prime factors 素因数
7990330801087736129609580208900348960160370121<46>
781741409377590402464709803977736132137659344702928238702437054957380692407818254347964111<90>
factorization results 素因数分解の結果
Number: 86663_157
N=6246372461835497797590085235144227805300158049988539661664127319813743185508874489362779286942419837673553038815625648251966340584727431
  ( 136 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=7990330801087736129609580208900348960160370121
 r2=781741409377590402464709803977736132137659344702928238702437054957380692407818254347964111
Version: 
Total time: 13.93 hours.
Scaled time: 33.31 units (timescale=2.391).
Factorization parameters were as follows:
n: 6246372461835497797590085235144227805300158049988539661664127319813743185508874489362779286942419837673553038815625648251966340584727431
m: 20000000000000000000000000000000
deg: 5
c5: 325
c0: -44
skew: 0.67
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 2800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8533070
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 529316 x 529564
Total sieving time: 12.61 hours.
Total relation processing time: 0.52 hours.
Matrix solve time: 0.68 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 13.93 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)

26×10158-113

c131

name 名前Sinkiti Sibata
date 日付November 16, 2009 10:00:37 UTC 2009 年 11 月 16 日 (月) 19 時 0 分 37 秒 (日本時間)
composite number 合成数
40307775459802312601143666500637781443565300545471354124635599565639079211034939946642064287574656020645475561982776791182117234367<131>
prime factors 素因数
2841721909924726851632106444328355405349356896512142306774663<61>
14184278665349773058410239428622656980638132940212009488758588338764809<71>
factorization results 素因数分解の結果
Number: 86663_158
N=40307775459802312601143666500637781443565300545471354124635599565639079211034939946642064287574656020645475561982776791182117234367
  ( 131 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=2841721909924726851632106444328355405349356896512142306774663 (pp61)
 r2=14184278665349773058410239428622656980638132940212009488758588338764809 (pp71)
Version: Msieve v. 1.42
Total time: 1.48 hours.
Scaled time: 0.99 units (timescale=0.668).
Factorization parameters were as follows:
name: 86663_158
n: 40307775459802312601143666500637781443565300545471354124635599565639079211034939946642064287574656020645475561982776791182117234367
m: 50000000000000000000000000000000
deg: 5
c5: 208
c0: -275
skew: 1.06
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 626336 x 626562
Total sieving time: 0.00 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.27 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,160.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 1.48 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.19 BogoMIPS (lpj=1860598)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860574)
Total of 2 processors activated (7442.34 BogoMIPS).

Total time: 25 hours 51 min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiNovember 7, 2009 05:33:19 UTC 2009 年 11 月 7 日 (土) 14 時 33 分 19 秒 (日本時間)

26×10161-113

c134

name 名前Jo Yeong Uk
date 日付November 20, 2009 08:18:17 UTC 2009 年 11 月 20 日 (金) 17 時 18 分 17 秒 (日本時間)
composite number 合成数
58230845101478284843358896477726731596932608490207254663143255682978657099665099256090779442717396787440080924159907391956186142369259<134>
prime factors 素因数
456470417364139674264780752174404710974590776491<48>
127567620784121598321005285879102169613744974602163293210674456685787644756891735053249<87>
factorization results 素因数分解の結果
Number: 86663_161
N=58230845101478284843358896477726731596932608490207254663143255682978657099665099256090779442717396787440080924159907391956186142369259
  ( 134 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=456470417364139674264780752174404710974590776491
 r2=127567620784121598321005285879102169613744974602163293210674456685787644756891735053249
Version: 
Total time: 16.77 hours.
Scaled time: 39.99 units (timescale=2.385).
Factorization parameters were as follows:
n: 58230845101478284843358896477726731596932608490207254663143255682978657099665099256090779442717396787440080924159907391956186142369259
m: 100000000000000000000000000000000
deg: 5
c5: 260
c0: -11
skew: 0.53
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 3300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9344646
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 671327 x 671575
Total sieving time: 15.03 hours.
Total relation processing time: 0.64 hours.
Matrix solve time: 0.94 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 16.77 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672338)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672382)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)

26×10162-113

c162

name 名前Dmitry Domanov
date 日付October 24, 2009 08:20:25 UTC 2009 年 10 月 24 日 (土) 17 時 20 分 25 秒 (日本時間)
composite number 合成数
279569892473118279569892473118279569892473118279569892473118279569892473118279569892473118279569892473118279569892473118279569892473118279569892473118279569892473<162>
prime factors 素因数
2196424621818773603600345463796839158507351567<46>
127284082365465995552850204415842628504762600410597057869464777586572822332556289495204674872568853707859104015568119<117>
factorization results 素因数分解の結果
Factor=2196424621818773603600345463796839158507351567  Method=ECM  B1=11000000  Sigma=2633918174
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)

26×10163-113

c125

name 名前Sinkiti Sibata
date 日付November 27, 2009 22:37:31 UTC 2009 年 11 月 28 日 (土) 7 時 37 分 31 秒 (日本時間)
composite number 合成数
25842435667971333293845691995925430935046775646627219316454740930177241830087326929025122361662134281077043238993181242309353<125>
prime factors 素因数
5211438645737500317674537589757818163406227579<46>
4958791117901422260553490157272046951176263951871311374087740608923515632809707<79>
factorization results 素因数分解の結果
Number: 86663_163
N=25842435667971333293845691995925430935046775646627219316454740930177241830087326929025122361662134281077043238993181242309353
  ( 125 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=5211438645737500317674537589757818163406227579 (pp46)
 r2=4958791117901422260553490157272046951176263951871311374087740608923515632809707 (pp79)
Version: Msieve-1.40
Total time: 39.13 hours.
Scaled time: 131.36 units (timescale=3.357).
Factorization parameters were as follows:
name: 86663_163
n: 25842435667971333293845691995925430935046775646627219316454740930177241830087326929025122361662134281077043238993181242309353
m: 500000000000000000000000000000000
deg: 5
c5: 208
c0: -275
skew: 1.06
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 4150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 757161 x 757409
Total sieving time: 37.91 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.08 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 39.13 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
351e6150Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiNovember 2, 2009 11:51:25 UTC 2009 年 11 月 2 日 (月) 20 時 51 分 25 秒 (日本時間)

26×10165-113

c123

name 名前Wataru Sakai
date 日付November 7, 2009 05:32:47 UTC 2009 年 11 月 7 日 (土) 14 時 32 分 47 秒 (日本時間)
composite number 合成数
580421535582344987716138104994468534795623399044638939489991032748336885900515182432126696923854643987705165573839602882587<123>
prime factors 素因数
24162374121281115547743488148094071736559<41>
24021709649431187683343098336454103859214433857791311652928195887896967260267801493<83>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=522846101
Step 1 took 34052ms
Step 2 took 13550ms
********** Factor found in step 2: 24162374121281115547743488148094071736559
Found probable prime factor of 41 digits: 24162374121281115547743488148094071736559
Probable prime cofactor 24021709649431187683343098336454103859214433857791311652928195887896967260267801493 has 83 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)

26×10166-113

c167

name 名前Dmitry Domanov
date 日付October 24, 2009 05:03:27 UTC 2009 年 10 月 24 日 (土) 14 時 3 分 27 秒 (日本時間)
composite number 合成数
86666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<167>
prime factors 素因数
17119841910469978219460966052115200873127<41>
composite cofactor 合成数の残り
5062352042729083324072603410562818478047593167544336937763961405378553912981858058946033962596449849227561328894684469987616769<127>
factorization results 素因数分解の結果
C167=P41*C127
C167=17119841910469978219460966052115200873127<41>*5062352042729083324072603410562818478047593167544336937763961405378553912981858058946033962596449849227561328894684469987616769<127>
software ソフトウェア
ECMNET

c127

name 名前Markus Tervooren
date 日付December 9, 2009 18:44:31 UTC 2009 年 12 月 10 日 (木) 3 時 44 分 31 秒 (日本時間)
composite number 合成数
5062352042729083324072603410562818478047593167544336937763961405378553912981858058946033962596449849227561328894684469987616769<127>
prime factors 素因数
96207769849890958637787012089581<32>
52618952197183905165622175960078885504996122246347121928682073766419239235963408943829919813349<95>
factorization results 素因数分解の結果
$> echo 5062352042729083324072603410562818478047593167544336937763961405378553912981858058946033962596449849227561328894684469987616769 | ecm -c 0 -I 1 10
GMP-ECM 6.2 [powered by GMP 4.3.0] [ECM]
Input number is 5062352042729083324072603410562818478047593167544336937763961405378553912981858058946033962596449849227561328894684469987616769 (127 digits)
Using B1=10, B2=84, polynomial x^1, sigma=1268245291
Step 1 took 0ms
Step 2 took 0ms
Run 2 out of 0:
Using B1=276, B2=276-7686, polynomial x^1, sigma=1621996872
Step 1 took 0ms
Step 2 took 4ms
Run 3 out of 0:
Using B1=542, B2=542-24246, polynomial x^1, sigma=1027277030
Step 1 took 0ms
Step 2 took 4ms
Run 4 out of 0:
Using B1=808, B2=808-42486, polynomial x^1, sigma=2444484533
Step 1 took 4ms
Step 2 took 4ms
Run 5 out of 0:
Using B1=1074, B2=1074-51606, polynomial x^1, sigma=801533018
Step 1 took 4ms
Step 2 took 8ms
Run 6 out of 0:
Using B1=1340, B2=1340-108636, polynomial x^1, sigma=1628484574
Step 1 took 4ms
Step 2 took 8ms
Run 7 out of 0:
Using B1=1606, B2=1606-109146, polynomial x^1, sigma=3394506902
Step 1 took 4ms
Step 2 took 8ms
Run 8 out of 0:
Using B1=1872, B2=1872-147396, polynomial x^1, sigma=1216102578
Step 1 took 8ms
Step 2 took 8ms
Run 9 out of 0:
Using B1=2138, B2=2138-147906, polynomial x^1, sigma=356966585
Step 1 took 12ms
Step 2 took 8ms
Run 10 out of 0:
Using B1=2540, B2=2540-186156, polynomial x^1, sigma=3077459549
Step 1 took 8ms
Step 2 took 12ms
Run 11 out of 0:
Using B1=2950, B2=2950-224406, polynomial x^1, sigma=485575138
Step 1 took 8ms
Step 2 took 12ms
Run 12 out of 0:
Using B1=3368, B2=3368-294786, polynomial x^1, sigma=2073073101
Step 1 took 16ms
Step 2 took 12ms
Run 13 out of 0:
Using B1=3794, B2=3794-446766, polynomial x^1, sigma=4253881041
Step 1 took 16ms
Step 2 took 12ms
Run 14 out of 0:
Using B1=4228, B2=4228-447786, polynomial x^1, sigma=1490636614
Step 1 took 20ms
Step 2 took 12ms
Run 15 out of 0:
Using B1=4671, B2=4671-447786, polynomial x^1, sigma=4178903842
Step 1 took 20ms
Step 2 took 16ms
********** Factor found in step 2: 96207769849890958637787012089581
Found probable prime factor of 32 digits: 96207769849890958637787012089581
Probable prime cofactor 52618952197183905165622175960078885504996122246347121928682073766419239235963408943829919813349 has 95 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)
403e60 / 1906--
4511e6117 / 4474Dmitry DomanovOctober 24, 2009 05:02:24 UTC 2009 年 10 月 24 日 (土) 14 時 2 分 24 秒 (日本時間)

26×10167-113

c155

name 名前Dmitry Domanov
date 日付November 22, 2009 23:03:13 UTC 2009 年 11 月 23 日 (月) 8 時 3 分 13 秒 (日本時間)
composite number 合成数
45893138442774482897571636966712010251635256820013812427692498634021169741800427655534842259048432142652201042044714346036327548302548122773201055272604083<155>
prime factors 素因数
1622000506706154937986411401046767<34>
composite cofactor 合成数の残り
28294157895160621844921147954393461978100031316274893426210418177756993778953017327769043546792385145405456209408807687549<122>
factorization results 素因数分解の結果
 Factor=1622000506706154937986411401046767  Method=ECM  B1=11000000  Sigma=420641482
software ソフトウェア
ECMNET

c122

name 名前Lionel Debroux
date 日付December 24, 2009 10:45:14 UTC 2009 年 12 月 24 日 (木) 19 時 45 分 14 秒 (日本時間)
composite number 合成数
28294157895160621844921147954393461978100031316274893426210418177756993778953017327769043546792385145405456209408807687549<122>
prime factors 素因数
6538852158315471876807191983737005179049140997548308893<55>
4327083287726406607500646865729506028074771488004120304654473098593<67>
factorization results 素因数分解の結果
Number: 86663_167
N=28294157895160621844921147954393461978100031316274893426210418177756993778953017327769043546792385145405456209408807687549
  ( 122 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=6538852158315471876807191983737005179049140997548308893 (pp55)
 r2=4327083287726406607500646865729506028074771488004120304654473098593 (pp67)
Version: Msieve v. 1.44
Total time: 143.51 hours.
Scaled time: 214.83 units (timescale=1.497).
Factorization parameters were as follows:
n: 28294157895160621844921147954393461978100031316274893426210418177756993778953017327769043546792385145405456209408807687549
m: 1000000000000000000000000000000000
deg: 5
c5: 2600
c0: -11
skew: 0.34
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2250000, 4450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 851629 x 851854
Total sieving time: 140.47 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.88 hours.
Time per square root: 1.02 hours.
Prototype def-par.txt line would be:
snfs,168.000,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.4,2.4,100000
total time: 143.51 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
ggnfs + msieve
execution environment 実行環境
Core 2 Duo T7200, 2 GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)
403e60--
4511e6238 / 3718Dmitry DomanovNovember 22, 2009 23:02:12 UTC 2009 年 11 月 23 日 (月) 8 時 2 分 12 秒 (日本時間)
5043e6205 / 74875Lionel DebrouxNovember 27, 2009 13:43:02 UTC 2009 年 11 月 27 日 (金) 22 時 43 分 2 秒 (日本時間)
200Lionel DebrouxDecember 21, 2009 20:24:48 UTC 2009 年 12 月 22 日 (火) 5 時 24 分 48 秒 (日本時間)
5511e75 / 17681Lionel DebrouxNovember 30, 2009 18:35:26 UTC 2009 年 12 月 1 日 (火) 3 時 35 分 26 秒 (日本時間)

26×10169-113

c145

name 名前Sinkiti Sibata
date 日付January 28, 2010 04:30:49 UTC 2010 年 1 月 28 日 (木) 13 時 30 分 49 秒 (日本時間)
composite number 合成数
1105360230689802661058975749157995472139414243040772286145537055201352481162610110311961096319281820479287826899353323824670700916658862410060501<145>
prime factors 素因数
211616713568746146880141810442896086032148343939738192626647<60>
5223407036470744328590055856134199251172546321217564370582385446526940362548296370483<85>
factorization results 素因数分解の結果
Number: 86663_169
N=1105360230689802661058975749157995472139414243040772286145537055201352481162610110311961096319281820479287826899353323824670700916658862410060501
  ( 145 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=211616713568746146880141810442896086032148343939738192626647 (pp60)
 r2=5223407036470744328590055856134199251172546321217564370582385446526940362548296370483 (pp85)
Version: Msieve-1.40
Total time: 68.71 hours.
Scaled time: 159.83 units (timescale=2.326).
Factorization parameters were as follows:
name: 86663_169
n: 1105360230689802661058975749157995472139414243040772286145537055201352481162610110311961096319281820479287826899353323824670700916658862410060501
m: 2000000000000000000000000000000000
deg: 5
c5: 8125
c0: -11
skew: 0.27
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2400000, 5400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 949499 x 949747
Total sieving time: 66.06 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 2.18 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
snfs,170.000,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 68.71 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiNovember 10, 2009 07:05:47 UTC 2009 年 11 月 10 日 (火) 16 時 5 分 47 秒 (日本時間)

26×10170-113

c165

name 名前Ignacio Santos
date 日付October 29, 2009 16:22:42 UTC 2009 年 10 月 30 日 (金) 1 時 22 分 42 秒 (日本時間)
composite number 合成数
550317310844828086163604679983075626086479825473214680687905104976201951213523751589305810694654958454217938778045810529559765200769512928964406534637077374825565287<165>
prime factors 素因数
6879741969361830247705267902282155696253164397146995711289478697<64>
79990981245460272814684156404787112141167933425430834180983411533442461790764746144400168831077267471<101>
factorization results 素因数分解の結果
Number: 86663_170
N=550317310844828086163604679983075626086479825473214680687905104976201951213523751589305810694654958454217938778045810529559765200769512928964406534637077374825565287
  ( 165 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=6879741969361830247705267902282155696253164397146995711289478697 (pp64)
 r2=79990981245460272814684156404787112141167933425430834180983411533442461790764746144400168831077267471 (pp101)
Version: Msieve-1.40
Total time: 58.86 hours.
Scaled time: 102.35 units (timescale=1.739).
Factorization parameters were as follows:
n: 550317310844828086163604679983075626086479825473214680687905104976201951213523751589305810694654958454217938778045810529559765200769512928964406534637077374825565287
m: 10000000000000000000000000000000000
deg: 5
c5: 26
c0: -11
skew: 0.84
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 5600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1074714 x 1074941
Total sieving time: 57.03 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.54 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 58.86 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)

26×10172-113

c150

name 名前Wataru Sakai
date 日付March 2, 2010 14:35:17 UTC 2010 年 3 月 2 日 (火) 23 時 35 分 17 秒 (日本時間)
composite number 合成数
515690184375386877694329464163755306285696135806867241940852179013219211254206860193829733501151482617171067419127340121568453996489166846979311451151<150>
prime factors 素因数
30655587896360760798718454052217270637921839720572561265447501<62>
16822061482520333047923240764698853101536346515239158322169797905503618158268180725128651<89>
factorization results 素因数分解の結果
Number: 86663_172
N=515690184375386877694329464163755306285696135806867241940852179013219211254206860193829733501151482617171067419127340121568453996489166846979311451151
  ( 150 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=30655587896360760798718454052217270637921839720572561265447501
 r2=16822061482520333047923240764698853101536346515239158322169797905503618158268180725128651
Version: 
Total time: 98.21 hours.
Scaled time: 197.70 units (timescale=2.013).
Factorization parameters were as follows:
n: 515690184375386877694329464163755306285696135806867241940852179013219211254206860193829733501151482617171067419127340121568453996489166846979311451151
m: 10000000000000000000000000000000000
deg: 5
c5: 2600
c0: -11
skew: 0.34
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2700000, 5600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1019235 x 1019483
Total sieving time: 98.21 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 98.21 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
351e6150Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiJanuary 24, 2010 06:09:54 UTC 2010 年 1 月 24 日 (日) 15 時 9 分 54 秒 (日本時間)

26×10173-113

c154

name 名前Robert Backstrom
date 日付June 15, 2010 12:23:21 UTC 2010 年 6 月 15 日 (火) 21 時 23 分 21 秒 (日本時間)
composite number 合成数
1336027933281352243247841372722208727920209518800421052632021692994880280321744649260679664095026931847995907595973693637935428691443099493546550310157639<154>
prime factors 素因数
1909299115650824424803030150206652008209037176296131993933541944578711540689<76>
699747840623672659779542819090361103353837029674194534727859598758705540742551<78>
factorization results 素因数分解の結果
Number: n
N=1336027933281352243247841372722208727920209518800421052632021692994880280321744649260679664095026931847995907595973693637935428691443099493546550310157639
  ( 154 digits)
SNFS difficulty: 174 digits.
Divisors found:

Tue Jun 15 22:01:20 2010  prp76 factor: 1909299115650824424803030150206652008209037176296131993933541944578711540689
Tue Jun 15 22:01:20 2010  prp78 factor: 699747840623672659779542819090361103353837029674194534727859598758705540742551
Tue Jun 15 22:01:20 2010  elapsed time 02:05:42 (Msieve 1.42 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=0.879).
Factorization parameters were as follows:
name: KA_8_6_172_3
n: 1336027933281352243247841372722208727920209518800421052632021692994880280321744649260679664095026931847995907595973693637935428691443099493546550310157639
m: 10000000000000000000000000000000000
deg: 5
c5: 26000
c0: -11
skew: 0.21
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 10100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1591162 hash collisions in 12434272 relations
Msieve: matrix is 979324 x 979549 (278.5 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2034148k/2097088k available (3972k kernel code, 388k absent, 62552k reserved, 2498k data, 1292k init)
VBoxDrv: dbg - g_abExecMemory=ffffffffa02c4440
Calibrating delay loop (skipped), value calculated using timer frequency.. 6026.43 BogoMIPS (lpj=3013215)
Calibrating delay using timer specific routine.. 6026.96 BogoMIPS (lpj=3013483)
Total of 2 processors activated (12053.39 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiFebruary 14, 2010 07:30:41 UTC 2010 年 2 月 14 日 (日) 16 時 30 分 41 秒 (日本時間)

26×10175-113

c166

name 名前matsui
date 日付August 23, 2010 21:59:34 UTC 2010 年 8 月 24 日 (火) 6 時 59 分 34 秒 (日本時間)
composite number 合成数
1098625788158787929109657062012320457104391315008628204103700989171968701683675507390979512283670010732069551313826631761345991230416071862430545942441700633516200121<166>
prime factors 素因数
82001222990883304234750325948176181396466006247269901180601<59>
13397675645409952750709031155632524884268988929364512347298760507081772069189954255052961685645406596907521<107>
factorization results 素因数分解の結果
N=1098625788158787929109657062012320457104391315008628204103700989171968701683675507390979512283670010732069551313826631761345991230416071862430545942441700633516200121
  ( 166 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=82001222990883304234750325948176181396466006247269901180601 (pp59)
 r2=13397675645409952750709031155632524884268988929364512347298760507081772069189954255052961685645406596907521 (pp107)
Version: Msieve v. 1.47
Total time:
Scaled time: 16.89 units (timescale=1.810).
Factorization parameters were as follows:
n: 1098625788158787929109657062012320457104391315008628204103700989171968701683675507390979512283670010732069551313826631761345991230416071862430545942441700633516200121
m: 100000000000000000000000000000000000
deg: 5
c5: 26
c0: -11
skew: 0.84
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3050000, 7150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1357513 x 1357746
Total sieving time:
Total relation processing time:
Time per square root:
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)

26×10176-113

c145

name 名前Erik Branger
date 日付November 29, 2012 07:24:51 UTC 2012 年 11 月 29 日 (木) 16 時 24 分 51 秒 (日本時間)
composite number 合成数
8240656952724982382127396993239609050724194141964176213381786381592011361276514643668666744906497373512189380328901665109965861871930904376742601<145>
prime factors 素因数
613126684333892956523651857728693051627691681<45>
13440382164540294978258161135247406369510079094434031650281336485882439406544631686181958904795073321<101>
factorization results 素因数分解の結果
Number: 86663_176
N = 8240656952724982382127396993239609050724194141964176213381786381592011361276514643668666744906497373512189380328901665109965861871930904376742601 (145 digits)
SNFS difficulty: 178 digits.
Divisors found:
r1=613126684333892956523651857728693051627691681 (pp45)
r2=13440382164540294978258161135247406369510079094434031650281336485882439406544631686181958904795073321 (pp101)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 70.55 hours.
Factorization parameters were as follows:
n: 8240656952724982382127396993239609050724194141964176213381786381592011361276514643668666744906497373512189380328901665109965861871930904376742601
m: 100000000000000000000000000000000000
deg: 5
c5: 260
c0: -11
skew: 0.53
# Murphy_E = 1.345e-10
type: snfs
lss: 1
rlim: 6300000
alim: 6300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6300000/6300000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [3150000, 7350000)
Relations: 18199286
Relations in full relation-set: 1953252 relations
Pruned matrix : 1188716 x 1188944
Polynomial selection time: 0.00 hours.
Total sieving time: 69.27 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 1.07 hours.
time per square root: 0.14 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 8, 2010 09:43:39 UTC 2010 年 11 月 8 日 (月) 18 時 43 分 39 秒 (日本時間)
403e62117110Ignacio SantosNovember 8, 2010 09:43:39 UTC 2010 年 11 月 8 日 (月) 18 時 43 分 39 秒 (日本時間)
2007Wataru SakaiOctober 6, 2011 13:58:42 UTC 2011 年 10 月 6 日 (木) 22 時 58 分 42 秒 (日本時間)
4511e6682 / 258832Ignacio SantosNovember 8, 2010 09:43:39 UTC 2010 年 11 月 8 日 (月) 18 時 43 分 39 秒 (日本時間)
650Rich DickersonFebruary 8, 2012 13:20:25 UTC 2012 年 2 月 8 日 (水) 22 時 20 分 25 秒 (日本時間)
5043e6400 / 7318Rich DickersonFebruary 9, 2012 02:54:37 UTC 2012 年 2 月 9 日 (木) 11 時 54 分 37 秒 (日本時間)

26×10179-113

c135

name 名前Robert Backstrom
date 日付June 6, 2012 13:54:08 UTC 2012 年 6 月 6 日 (水) 22 時 54 分 8 秒 (日本時間)
composite number 合成数
341404833984898809261228450386871837072947791213574757448471120847750515871731991922057841638852931243247982706537192632551358867947497<135>
prime factors 素因数
5548736985373875498182659677345779039140230985412797<52>
61528386529190453797523459783424652023524532203594900416170832653480323580056915101<83>
factorization results 素因数分解の結果
Number: n
N=341404833984898809261228450386871837072947791213574757448471120847750515871731991922057841638852931243247982706537192632551358867947497
  ( 135 digits)
Divisors found:

Wed Jun  6 23:49:42 2012  prp52 factor: 5548736985373875498182659677345779039140230985412797
Wed Jun  6 23:49:42 2012  prp83 factor: 61528386529190453797523459783424652023524532203594900416170832653480323580056915101
Wed Jun  6 23:49:42 2012  elapsed time 01:34:47 (Msieve 1.44 - dependency 3)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.092).
Factorization parameters were as follows:
name: KA_86663_179
n: 341404833984898809261228450386871837072947791213574757448471120847750515871731991922057841638852931243247982706537192632551358867947497
skew: 203053.91
# norm 1.89e+18
c5: 266760
c4: -153309154974
c3: -12195809278951059
c2: 4778401671333352271384
c1: 83768370672983460254464812
c0: -41606192107726718266794384097328
# alpha -5.90
Y1: 740491310270371
Y0: -66287302947193030582849803
# Murphy_E 4.41e-11
# M 198732257764202433199106161923767661703975021904064627087696637949567993440055056362631066062302542704988087648583591605982477968242478
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 11100000)
Primes: RFBsize:374362, AFBsize:373957, 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2962640 hash collisions in 14141806 relations (11281390 unique)
Msieve: matrix is 944006 x 944238 (271.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,134,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.11 BogoMIPS (lpj=2830559)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Total of 4 processors activated (22643.85 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 8, 2010 10:34:37 UTC 2010 年 11 月 8 日 (月) 19 時 34 分 37 秒 (日本時間)
403e6880110Ignacio SantosNovember 8, 2010 10:34:37 UTC 2010 年 11 月 8 日 (月) 19 時 34 分 37 秒 (日本時間)
770Ignacio SantosJuly 20, 2011 21:46:51 UTC 2011 年 7 月 21 日 (木) 6 時 46 分 51 秒 (日本時間)
4511e6252 / 405132Ignacio SantosNovember 8, 2010 10:34:37 UTC 2010 年 11 月 8 日 (月) 19 時 34 分 37 秒 (日本時間)
220Ignacio SantosJuly 20, 2011 21:46:51 UTC 2011 年 7 月 21 日 (木) 6 時 46 分 51 秒 (日本時間)
5043e661 / 7461Ignacio SantosJuly 20, 2011 21:46:51 UTC 2011 年 7 月 21 日 (木) 6 時 46 分 51 秒 (日本時間)

26×10180-113

c110

name 名前Jo Yeong Uk
date 日付October 26, 2009 14:18:45 UTC 2009 年 10 月 26 日 (月) 23 時 18 分 45 秒 (日本時間)
composite number 合成数
10480129183371743899045412556645811521917224266909621512471309641624950039890299342336256862579936558614433043<110>
prime factors 素因数
72785908957299479303025193305881070533587<41>
143985688074871851263884561113056280933967878093323444574394933207489<69>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 10480129183371743899045412556645811521917224266909621512471309641624950039890299342336256862579936558614433043 (110 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=5524291184
Step 1 took 3526ms
Step 2 took 3900ms
********** Factor found in step 2: 72785908957299479303025193305881070533587
Found probable prime factor of 41 digits: 72785908957299479303025193305881070533587
Probable prime cofactor 143985688074871851263884561113056280933967878093323444574394933207489 has 69 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)

26×10183-113

c136

name 名前Serge Batalov
date 日付October 24, 2009 08:03:07 UTC 2009 年 10 月 24 日 (土) 17 時 3 分 7 秒 (日本時間)
composite number 合成数
3752645816558635897592772450880297465661558704099452070422546868199595418348051576549566073233815280755851420198958469291041583511347509<136>
prime factors 素因数
61186619953122149431960957214347<32>
61331150820779255676079631245412342285786210808138765086237596311374322119595871484930746172259468195647<104>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1343869211
Step 1 took 6509ms
Step 2 took 3392ms
********** Factor found in step 2: 61186619953122149431960957214347
Found probable prime factor of 32 digits: 61186619953122149431960957214347
Probable prime cofactor has 104 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)

26×10184-113

c89

name 名前Norbert Schneider
date 日付October 24, 2009 12:16:09 UTC 2009 年 10 月 24 日 (土) 21 時 16 分 9 秒 (日本時間)
composite number 合成数
17741677651857805032606358886945695648559407609858617356573827167385163195236452972764827<89>
prime factors 素因数
876770922639554917353142630986272212417<39>
20235248676411114188095713258897648593212272464731<50>
factorization results 素因数分解の結果
Sat Oct 24 11:22:12 2009  
Sat Oct 24 11:22:12 2009  
Sat Oct 24 11:22:12 2009  Msieve v. 1.43
Sat Oct 24 11:22:12 2009  random seeds: 38021554 97df5c5b
Sat Oct 24 11:22:12 2009  factoring 17741677651857805032606358886945695648559407609858617356573827167385163195236452972764827 (89 digits)
Sat Oct 24 11:22:14 2009  searching for 15-digit factors
Sat Oct 24 11:22:14 2009  commencing quadratic sieve (89-digit input)
Sat Oct 24 11:22:15 2009  using multiplier of 3
Sat Oct 24 11:22:15 2009  using 64kb Pentium 4 sieve core
Sat Oct 24 11:22:15 2009  sieve interval: 15 blocks of size 65536
Sat Oct 24 11:22:15 2009  processing polynomials in batches of 7
Sat Oct 24 11:22:15 2009  using a sieve bound of 1533841 (58667 primes)
Sat Oct 24 11:22:15 2009  using large prime bound of 122707280 (26 bits)
Sat Oct 24 11:22:15 2009  using double large prime bound of 363050102703040 (42-49 bits)
Sat Oct 24 11:22:15 2009  using trial factoring cutoff of 49 bits
Sat Oct 24 11:22:15 2009  polynomial 'A' values have 11 factors
Sat Oct 24 13:21:58 2009  59137 relations (15514 full + 43623 combined from 623536 partial), need 58763
Sat Oct 24 13:22:00 2009  begin with 639050 relations
Sat Oct 24 13:22:01 2009  reduce to 143799 relations in 11 passes
Sat Oct 24 13:22:01 2009  attempting to read 143799 relations
Sat Oct 24 13:22:03 2009  recovered 143799 relations
Sat Oct 24 13:22:03 2009  recovered 121653 polynomials
Sat Oct 24 13:22:03 2009  attempting to build 59137 cycles
Sat Oct 24 13:22:03 2009  found 59137 cycles in 5 passes
Sat Oct 24 13:22:03 2009  distribution of cycle lengths:
Sat Oct 24 13:22:03 2009     length 1 : 15514
Sat Oct 24 13:22:03 2009     length 2 : 11441
Sat Oct 24 13:22:03 2009     length 3 : 10453
Sat Oct 24 13:22:03 2009     length 4 : 7982
Sat Oct 24 13:22:03 2009     length 5 : 5575
Sat Oct 24 13:22:03 2009     length 6 : 3626
Sat Oct 24 13:22:03 2009     length 7 : 2155
Sat Oct 24 13:22:03 2009     length 9+: 2391
Sat Oct 24 13:22:03 2009  largest cycle: 17 relations
Sat Oct 24 13:22:04 2009  matrix is 58667 x 59137 (14.2 MB) with weight 3493263 (59.07/col)
Sat Oct 24 13:22:04 2009  sparse part has weight 3493263 (59.07/col)
Sat Oct 24 13:22:06 2009  filtering completed in 3 passes
Sat Oct 24 13:22:06 2009  matrix is 54726 x 54790 (13.2 MB) with weight 3244734 (59.22/col)
Sat Oct 24 13:22:06 2009  sparse part has weight 3244734 (59.22/col)
Sat Oct 24 13:22:06 2009  saving the first 48 matrix rows for later
Sat Oct 24 13:22:06 2009  matrix is 54678 x 54790 (8.9 MB) with weight 2562127 (46.76/col)
Sat Oct 24 13:22:06 2009  sparse part has weight 2001405 (36.53/col)
Sat Oct 24 13:22:06 2009  matrix includes 64 packed rows
Sat Oct 24 13:22:06 2009  using block size 10922 for processor cache size 256 kB
Sat Oct 24 13:22:07 2009  commencing Lanczos iteration
Sat Oct 24 13:22:07 2009  memory use: 8.9 MB
Sat Oct 24 13:22:36 2009  lanczos halted after 867 iterations (dim = 54676)
Sat Oct 24 13:22:37 2009  recovered 16 nontrivial dependencies
Sat Oct 24 13:22:38 2009  prp39 factor: 876770922639554917353142630986272212417
Sat Oct 24 13:22:38 2009  prp50 factor: 20235248676411114188095713258897648593212272464731
Sat Oct 24 13:22:38 2009  elapsed time 02:00:26
execution environment 実行環境
Intel Celeron 2.80 GHz, 512 MB RAM, WIndows XP

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)

26×10186-113

c174

name 名前Robert Backstrom
date 日付March 1, 2012 22:31:09 UTC 2012 年 3 月 2 日 (金) 7 時 31 分 9 秒 (日本時間)
composite number 合成数
102438869605327972941033916443686617990034941498634161563291473853474744633729697009367360220042966144765491653794889519614301407460364014467133981039846403591496727361535391<174>
prime factors 素因数
2895578490491030432163973475300079589<37>
8914492425865531325472659995392965924085706581097593115729524774689<67>
3968558762430317340634932193504757247213984271242924781385628040073171<70>
factorization results 素因数分解の結果
Number: n
N=102438869605327972941033916443686617990034941498634161563291473853474744633729697009367360220042966144765491653794889519614301407460364014467133981039846403591496727361535391
  ( 174 digits)
SNFS difficulty: 187 digits.
Divisors found:

Fri Mar  2 07:53:14 2012  prp37 factor: 2895578490491030432163973475300079589
Fri Mar  2 07:53:14 2012  prp67 factor: 8914492425865531325472659995392965924085706581097593115729524774689
Fri Mar  2 07:53:14 2012  prp70 factor: 3968558762430317340634932193504757247213984271242924781385628040073171
Fri Mar  2 07:53:14 2012  elapsed time 03:31:20 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.661).
Factorization parameters were as follows:
name: KA_86663_186
n: 102438869605327972941033916443686617990034941498634161563291473853474744633729697009367360220042966144765491653794889519614301407460364014467133981039846403591496727361535391
m: 10000000000000000000000000000000000000
#  c174, diff: 187.41
skew: 0.53
deg: 5
c5: 260
c0: -11
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6779889 hash collisions in 76290588 relations (72095587 unique)
Msieve: matrix is 1157039 x 1157268 (324.3 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 8, 2010 11:49:38 UTC 2010 年 11 月 8 日 (月) 20 時 49 分 38 秒 (日本時間)
403e6110 / 2117Ignacio SantosNovember 8, 2010 11:49:38 UTC 2010 年 11 月 8 日 (月) 20 時 49 分 38 秒 (日本時間)
4511e632 / 4435Ignacio SantosNovember 8, 2010 11:49:38 UTC 2010 年 11 月 8 日 (月) 20 時 49 分 38 秒 (日本時間)

26×10187-113

c163

name 名前Serge Batalov
date 日付October 24, 2009 05:17:57 UTC 2009 年 10 月 24 日 (土) 14 時 17 分 57 秒 (日本時間)
composite number 合成数
1011733693224072951814156381476447921275320522817897292056511853598305358941456161511418258404258783475906417185423481028325903773056849553249995790287522572604539<163>
prime factors 素因数
9991165980682396704453204886294931<34>
101262825097714124221150710784145645266502910002869015154872310194798802000025178431518800026396746555000440686019072606961525369<129>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=610105107
Step 1 took 3540ms
Step 2 took 2388ms
********** Factor found in step 2: 9991165980682396704453204886294931
Found probable prime factor of 34 digits: 9991165980682396704453204886294931
Probable prime cofactor has 129 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)

26×10188-113

c189

name 名前Dmitry Domanov
date 日付November 9, 2009 09:10:13 UTC 2009 年 11 月 9 日 (月) 18 時 10 分 13 秒 (日本時間)
composite number 合成数
866666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<189>
prime factors 素因数
10259291107232450345127225587209152871731029421866962805442781<62>
84476272055063943325183359642649984717306070885700898533399372021753856257495399877737223250194400158255639618255431995131856723<128>
factorization results 素因数分解の結果
N=866666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663
  ( 189 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=10259291107232450345127225587209152871731029421866962805442781 (pp62)
 r2=84476272055063943325183359642649984717306070885700898533399372021753856257495399877737223250194400158255639618255431995131856723 (pp128)
Version: Msieve-1.40
Total time: 356.05 hours.
Scaled time: 660.47 units (timescale=1.855).
Factorization parameters were as follows:
n: 866666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663
m: 50000000000000000000000000000000000000
deg: 5
c5: 208
c0: -275
skew: 1.06
type: snfs
lss: 1
rlim: 10600000
alim: 10600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10600000/10600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5300000, 10600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1915479 x 1915705
Total sieving time: 349.52 hours.
Total relation processing time: 1.02 hours.
Matrix solve time: 4.72 hours.
Time per square root: 0.79 hours.
Prototype def-par.txt line would be:
snfs,190.000,5,0,0,0,0,0,0,0,0,10600000,10600000,28,28,54,54,2.5,2.5,100000
total time: 356.05 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)

26×10189-113

c189

name 名前Wataru Sakai
date 日付October 26, 2009 00:38:34 UTC 2009 年 10 月 26 日 (月) 9 時 38 分 34 秒 (日本時間)
composite number 合成数
122065727699530516431924882629107981220657276995305164319248826291079812206572769953051643192488262910798122065727699530516431924882629107981220657276995305164319248826291079812206572769953<189>
prime factors 素因数
141538917737574835614928365545711650133<39>
862418122525500258553228011718122233569703757701307710205000528958821534542694199458423775010924655490594982609345756497272737613083229460774392256541<150>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4145718496
Step 1 took 70088ms
Step 2 took 21780ms
********** Factor found in step 2: 141538917737574835614928365545711650133
Found probable prime factor of 39 digits: 141538917737574835614928365545711650133
Probable prime cofactor 862418122525500258553228011718122233569703757701307710205000528958821534542694199458423775010924655490594982609345756497272737613083229460774392256541 has 150 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)

26×10190-113

c177

composite cofactor 合成数の残り
225137289744525732038853176089781136595404168797002437030501619565028274243593395347785509179916150683194215723584259003484560536586134866315811549970516783811472690468661237549<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 8, 2010 13:09:31 UTC 2010 年 11 月 8 日 (月) 22 時 9 分 31 秒 (日本時間)
403e61410110Ignacio SantosNovember 8, 2010 13:09:31 UTC 2010 年 11 月 8 日 (月) 22 時 9 分 31 秒 (日本時間)
1000Dmitry DomanovDecember 6, 2012 14:07:06 UTC 2012 年 12 月 6 日 (木) 23 時 7 分 6 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:32 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 32 秒 (日本時間)
4511e6932 / 414832Ignacio SantosNovember 8, 2010 13:09:31 UTC 2010 年 11 月 8 日 (月) 22 時 9 分 31 秒 (日本時間)
600Rich DickersonApril 26, 2014 20:06:55 UTC 2014 年 4 月 27 日 (日) 5 時 6 分 55 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:38 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 38 秒 (日本時間)

26×10192-113

c191

name 名前Wataru Sakai
date 日付October 26, 2009 00:37:34 UTC 2009 年 10 月 26 日 (月) 9 時 37 分 34 秒 (日本時間)
composite number 合成数
14714204867006225240520656479909451046972269383135257498585172608941709111488398415393322014714204867006225240520656479909451046972269383135257498585172608941709111488398415393322014714204867<191>
prime factors 素因数
101077267653156631307592584180426757637<39>
145573828899862454232548939907903440117030008911903381461583149437913645824448129191836349310485548267196198682523833675203109703598164258322341355722791<153>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=97527106
Step 1 took 69743ms
Step 2 took 21801ms
********** Factor found in step 2: 101077267653156631307592584180426757637
Found probable prime factor of 39 digits: 101077267653156631307592584180426757637
Probable prime cofactor 145573828899862454232548939907903440117030008911903381461583149437913645824448129191836349310485548267196198682523833675203109703598164258322341355722791 has 153 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)

26×10194-113

c195

name 名前Dmitry Domanov
date 日付October 25, 2009 08:54:29 UTC 2009 年 10 月 25 日 (日) 17 時 54 分 29 秒 (日本時間)
composite number 合成数
866666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<195>
prime factors 素因数
195721309769165290517468167522075066993<39>
composite cofactor 合成数の残り
4428064923992271188897172141909552065313113376249145079122632080472355721315498754192989009423534511274168794443365639986065578670493920034925645440231447191<157>
factorization results 素因数分解の結果
Factor=195721309769165290517468167522075066993  Method=ECM  B1=11000000  Sigma=1337364280
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 8, 2010 16:32:24 UTC 2010 年 11 月 9 日 (火) 1 時 32 分 24 秒 (日本時間)
403e62710110Ignacio SantosNovember 8, 2010 16:32:24 UTC 2010 年 11 月 9 日 (火) 1 時 32 分 24 秒 (日本時間)
1000Dmitry DomanovDecember 6, 2012 14:07:15 UTC 2012 年 12 月 6 日 (木) 23 時 7 分 15 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:32 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 32 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:06 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 6 秒 (日本時間)
4511e632 / 3861Ignacio SantosNovember 8, 2010 16:32:24 UTC 2010 年 11 月 9 日 (火) 1 時 32 分 24 秒 (日本時間)

26×10196-113

c168

name 名前Serge Batalov
date 日付May 18, 2014 23:33:00 UTC 2014 年 5 月 19 日 (月) 8 時 33 分 0 秒 (日本時間)
composite number 合成数
661301516568997841468375760275010314210464991620239349050513165419581426877463181188430643257218667160621351002908212214521333025803476586825271601699649303077539941053<168>
prime factors 素因数
126085504993354127592166838063429791063337<42>
composite cofactor 合成数の残り
5244865510939219765589410930902758466262215091263719484234890713098487841355558793376050589101411275880047566347637616479428469<127>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3023981470
Step 1 took 11617ms
Step 2 took 10112ms
********** Factor found in step 2: 126085504993354127592166838063429791063337
Found probable prime factor of 42 digits: 126085504993354127592166838063429791063337
Composite cofactor

c127

name 名前Cyp
date 日付May 21, 2014 17:09:04 UTC 2014 年 5 月 22 日 (木) 2 時 9 分 4 秒 (日本時間)
composite number 合成数
5244865510939219765589410930902758466262215091263719484234890713098487841355558793376050589101411275880047566347637616479428469<127>
prime factors 素因数
37854442317638308533967182335190615650182598699407591<53>
138553500984886267014338263933631954922700257280947644105247012255187086659<75>
factorization results 素因数分解の結果
05/21/14 07:53:41 v1.34.3, 
05/21/14 07:53:41 v1.34.3, ****************************
05/21/14 07:53:41 v1.34.3, Starting factorization of 5244865510939219765589410930902758466262215091263719484234890713098487841355558793376050589101411275880047566347637616479428469
05/21/14 07:53:41 v1.34.3, using pretesting plan: none
05/21/14 07:53:41 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
05/21/14 07:53:41 v1.34.3, ****************************
05/21/14 07:53:41 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C127
05/21/14 07:53:41 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C127
05/21/14 07:53:41 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C127
05/21/14 07:53:41 v1.34.3, final ECM pretested depth: 0.00
05/21/14 07:53:41 v1.34.3, scheduler: switching to sieve method
05/21/14 07:53:41 v1.34.3, nfs: commencing nfs on c127: 5244865510939219765589410930902758466262215091263719484234890713098487841355558793376050589101411275880047566347637616479428469
05/21/14 07:53:41 v1.34.3, nfs: commencing poly selection with 8 threads
05/21/14 07:53:41 v1.34.3, nfs: setting deadline of 4658 seconds
05/21/14 09:12:21 v1.34.3, nfs: completed 534 ranges of size 250 in 4719.3026 seconds
05/21/14 09:12:21 v1.34.3, nfs: best poly = # norm 4.085703e-12 alpha -7.139888 e 1.223e-10 rroots 3
05/21/14 09:12:21 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/21/14 09:20:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
[51 lines snipped]
05/21/14 16:29:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/21/14 16:38:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/21/14 16:47:29 v1.34.3, nfs: commencing msieve filtering
05/21/14 16:49:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/21/14 16:57:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/21/14 17:06:18 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/21/14 17:15:15 v1.34.3, nfs: commencing msieve filtering
05/21/14 17:17:04 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/21/14 17:25:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/21/14 17:34:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/21/14 17:42:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/21/14 17:51:15 v1.34.3, nfs: commencing msieve filtering
05/21/14 17:53:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/21/14 18:01:50 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/21/14 18:10:38 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/21/14 18:19:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
05/21/14 18:28:24 v1.34.3, nfs: commencing msieve filtering
05/21/14 18:30:53 v1.34.3, nfs: commencing msieve linear algebra
05/21/14 19:00:15 v1.34.3, nfs: commencing msieve sqrt
05/21/14 19:08:57 v1.34.3, prp75 = 138553500984886267014338263933631954922700257280947644105247012255187086659
05/21/14 19:08:57 v1.34.3, prp53 = 37854442317638308533967182335190615650182598699407591
05/21/14 19:08:57 v1.34.3, NFS elapsed time = 40516.0771 seconds.
05/21/14 19:08:57 v1.34.3, 
05/21/14 19:08:57 v1.34.3, 
05/21/14 19:08:57 v1.34.3, Total factoring time = 40516.1034 seconds
--
Wed May 21 16:47:29 2014  
Wed May 21 16:47:29 2014  commencing relation filtering
Wed May 21 16:47:29 2014  estimated available RAM is 15988.7 MB
Wed May 21 16:47:29 2014  commencing duplicate removal, pass 1
Wed May 21 16:48:02 2014  found 1293997 hash collisions in 10174892 relations
Wed May 21 16:48:12 2014  added 62776 free relations
Wed May 21 16:48:12 2014  commencing duplicate removal, pass 2
Wed May 21 16:48:21 2014  found 815522 duplicates and 9422146 unique relations
Wed May 21 16:48:21 2014  memory use: 41.3 MB
Wed May 21 16:48:21 2014  reading ideals above 100000
Wed May 21 16:48:21 2014  commencing singleton removal, initial pass
Wed May 21 16:49:05 2014  memory use: 344.5 MB
Wed May 21 16:49:05 2014  reading all ideals from disk
Wed May 21 16:49:05 2014  memory use: 346.5 MB
Wed May 21 16:49:06 2014  keeping 11015174 ideals with weight <= 200, target excess is 48552
Wed May 21 16:49:06 2014  commencing in-memory singleton removal
Wed May 21 16:49:07 2014  begin with 9422146 relations and 11015174 unique ideals
Wed May 21 16:49:11 2014  reduce to 2563331 relations and 2859511 ideals in 31 passes
Wed May 21 16:49:11 2014  max relations containing the same ideal: 84
Wed May 21 17:15:15 2014  
Wed May 21 17:15:15 2014  commencing relation filtering
Wed May 21 17:15:15 2014  estimated available RAM is 15988.7 MB
Wed May 21 17:15:15 2014  commencing duplicate removal, pass 1
Wed May 21 17:15:50 2014  found 1420975 hash collisions in 10783622 relations
Wed May 21 17:16:01 2014  added 80 free relations
Wed May 21 17:16:01 2014  commencing duplicate removal, pass 2
Wed May 21 17:16:10 2014  found 892964 duplicates and 9890738 unique relations
Wed May 21 17:16:10 2014  memory use: 41.3 MB
Wed May 21 17:16:10 2014  reading ideals above 100000
Wed May 21 17:16:10 2014  commencing singleton removal, initial pass
Wed May 21 17:16:56 2014  memory use: 344.5 MB
Wed May 21 17:16:58 2014  reading all ideals from disk
Wed May 21 17:16:58 2014  memory use: 363.9 MB
Wed May 21 17:16:59 2014  keeping 11220136 ideals with weight <= 200, target excess is 51031
Wed May 21 17:16:59 2014  commencing in-memory singleton removal
Wed May 21 17:17:00 2014  begin with 9890738 relations and 11220136 unique ideals
Wed May 21 17:17:04 2014  reduce to 3314786 relations and 3472849 ideals in 24 passes
Wed May 21 17:17:04 2014  max relations containing the same ideal: 96
Wed May 21 17:51:15 2014  
Wed May 21 17:51:15 2014  commencing relation filtering
Wed May 21 17:51:15 2014  estimated available RAM is 15988.7 MB
Wed May 21 17:51:15 2014  commencing duplicate removal, pass 1
Wed May 21 17:51:53 2014  found 1582647 hash collisions in 11497161 relations
Wed May 21 17:52:03 2014  added 73 free relations
Wed May 21 17:52:03 2014  commencing duplicate removal, pass 2
Wed May 21 17:52:13 2014  found 997843 duplicates and 10499391 unique relations
Wed May 21 17:52:13 2014  memory use: 41.3 MB
Wed May 21 17:52:13 2014  reading ideals above 720000
Wed May 21 17:52:13 2014  commencing singleton removal, initial pass
Wed May 21 17:52:59 2014  memory use: 344.5 MB
Wed May 21 17:53:00 2014  reading all ideals from disk
Wed May 21 17:53:00 2014  memory use: 313.0 MB
Wed May 21 17:53:00 2014  commencing in-memory singleton removal
Wed May 21 17:53:00 2014  begin with 10499391 relations and 11404727 unique ideals
Wed May 21 17:53:05 2014  reduce to 4232310 relations and 4108291 ideals in 19 passes
Wed May 21 17:53:05 2014  max relations containing the same ideal: 78
Wed May 21 18:28:24 2014  
Wed May 21 18:28:24 2014  commencing relation filtering
Wed May 21 18:28:24 2014  estimated available RAM is 15988.7 MB
Wed May 21 18:28:24 2014  commencing duplicate removal, pass 1
Wed May 21 18:29:04 2014  found 1754123 hash collisions in 12224626 relations
Wed May 21 18:29:15 2014  added 50 free relations
Wed May 21 18:29:15 2014  commencing duplicate removal, pass 2
Wed May 21 18:29:25 2014  found 1109879 duplicates and 11114797 unique relations
Wed May 21 18:29:25 2014  memory use: 74.6 MB
Wed May 21 18:29:25 2014  reading ideals above 720000
Wed May 21 18:29:25 2014  commencing singleton removal, initial pass
Wed May 21 18:30:14 2014  memory use: 344.5 MB
Wed May 21 18:30:14 2014  reading all ideals from disk
Wed May 21 18:30:14 2014  memory use: 331.5 MB
Wed May 21 18:30:15 2014  commencing in-memory singleton removal
Wed May 21 18:30:15 2014  begin with 11114797 relations and 11639845 unique ideals
Wed May 21 18:30:20 2014  reduce to 5123020 relations and 4741734 ideals in 17 passes
Wed May 21 18:30:20 2014  max relations containing the same ideal: 90
Wed May 21 18:30:21 2014  removing 867021 relations and 743916 ideals in 123105 cliques
Wed May 21 18:30:21 2014  commencing in-memory singleton removal
Wed May 21 18:30:21 2014  begin with 4255999 relations and 4741734 unique ideals
Wed May 21 18:30:23 2014  reduce to 4132625 relations and 3870500 ideals in 10 passes
Wed May 21 18:30:23 2014  max relations containing the same ideal: 75
Wed May 21 18:30:24 2014  removing 661119 relations and 538014 ideals in 123105 cliques
Wed May 21 18:30:24 2014  commencing in-memory singleton removal
Wed May 21 18:30:24 2014  begin with 3471506 relations and 3870500 unique ideals
Wed May 21 18:30:25 2014  reduce to 3382276 relations and 3240465 ideals in 8 passes
Wed May 21 18:30:25 2014  max relations containing the same ideal: 63
Wed May 21 18:30:27 2014  relations with 0 large ideals: 506
Wed May 21 18:30:27 2014  relations with 1 large ideals: 2306
Wed May 21 18:30:27 2014  relations with 2 large ideals: 31562
Wed May 21 18:30:27 2014  relations with 3 large ideals: 182166
Wed May 21 18:30:27 2014  relations with 4 large ideals: 548203
Wed May 21 18:30:27 2014  relations with 5 large ideals: 929078
Wed May 21 18:30:27 2014  relations with 6 large ideals: 928488
Wed May 21 18:30:27 2014  relations with 7+ large ideals: 759967
Wed May 21 18:30:27 2014  commencing 2-way merge
Wed May 21 18:30:28 2014  reduce to 2005296 relation sets and 1863485 unique ideals
Wed May 21 18:30:28 2014  commencing full merge
Wed May 21 18:30:46 2014  memory use: 219.8 MB
Wed May 21 18:30:46 2014  found 1002928 cycles, need 979685
Wed May 21 18:30:46 2014  weight of 979685 cycles is about 68674960 (70.10/cycle)
Wed May 21 18:30:46 2014  distribution of cycle lengths:
Wed May 21 18:30:46 2014  1 relations: 123167
Wed May 21 18:30:46 2014  2 relations: 110745
Wed May 21 18:30:46 2014  3 relations: 108760
Wed May 21 18:30:46 2014  4 relations: 99600
Wed May 21 18:30:46 2014  5 relations: 90637
Wed May 21 18:30:46 2014  6 relations: 78576
Wed May 21 18:30:46 2014  7 relations: 68216
Wed May 21 18:30:46 2014  8 relations: 59866
Wed May 21 18:30:46 2014  9 relations: 50957
Wed May 21 18:30:46 2014  10+ relations: 189161
Wed May 21 18:30:46 2014  heaviest cycle: 20 relations
Wed May 21 18:30:46 2014  commencing cycle optimization
Wed May 21 18:30:47 2014  start with 5777962 relations
Wed May 21 18:30:52 2014  pruned 141803 relations
Wed May 21 18:30:52 2014  memory use: 191.9 MB
Wed May 21 18:30:52 2014  distribution of cycle lengths:
Wed May 21 18:30:52 2014  1 relations: 123167
Wed May 21 18:30:52 2014  2 relations: 113385
Wed May 21 18:30:52 2014  3 relations: 112731
Wed May 21 18:30:52 2014  4 relations: 102063
Wed May 21 18:30:52 2014  5 relations: 92589
Wed May 21 18:30:52 2014  6 relations: 79850
Wed May 21 18:30:52 2014  7 relations: 69003
Wed May 21 18:30:52 2014  8 relations: 59914
Wed May 21 18:30:52 2014  9 relations: 50662
Wed May 21 18:30:52 2014  10+ relations: 176321
Wed May 21 18:30:52 2014  heaviest cycle: 20 relations
Wed May 21 18:30:53 2014  RelProcTime: 149
Wed May 21 18:30:53 2014  
Wed May 21 18:30:53 2014  commencing linear algebra
Wed May 21 18:30:53 2014  read 979685 cycles
Wed May 21 18:30:54 2014  cycles contain 3215313 unique relations
Wed May 21 18:31:11 2014  read 3215313 relations
Wed May 21 18:31:13 2014  using 20 quadratic characters above 134216882
Wed May 21 18:31:23 2014  building initial matrix
Wed May 21 18:31:42 2014  memory use: 410.1 MB
Wed May 21 18:31:42 2014  read 979685 cycles
Wed May 21 18:31:42 2014  matrix is 979498 x 979685 (296.0 MB) with weight 92913294 (94.84/col)
Wed May 21 18:31:42 2014  sparse part has weight 65850702 (67.22/col)
Wed May 21 18:31:47 2014  filtering completed in 2 passes
Wed May 21 18:31:48 2014  matrix is 977405 x 977591 (295.8 MB) with weight 92816328 (94.94/col)
Wed May 21 18:31:48 2014  sparse part has weight 65815249 (67.32/col)
Wed May 21 18:31:50 2014  matrix starts at (0, 0)
Wed May 21 18:31:50 2014  matrix is 977405 x 977591 (295.8 MB) with weight 92816328 (94.94/col)
Wed May 21 18:31:50 2014  sparse part has weight 65815249 (67.32/col)
Wed May 21 18:31:50 2014  saving the first 48 matrix rows for later
Wed May 21 18:31:50 2014  matrix includes 64 packed rows
Wed May 21 18:31:50 2014  matrix is 977357 x 977591 (284.7 MB) with weight 74306342 (76.01/col)
Wed May 21 18:31:50 2014  sparse part has weight 64849612 (66.34/col)
Wed May 21 18:31:50 2014  using block size 65536 for processor cache size 8192 kB
Wed May 21 18:31:53 2014  commencing Lanczos iteration (8 threads)
Wed May 21 18:31:53 2014  memory use: 274.4 MB
Wed May 21 18:31:58 2014  linear algebra at 0.3%, ETA 0h26m
Wed May 21 19:00:14 2014  lanczos halted after 15458 iterations (dim = 977357)
Wed May 21 19:00:15 2014  recovered 30 nontrivial dependencies
Wed May 21 19:00:15 2014  BLanczosTime: 1762
Wed May 21 19:00:15 2014  
Wed May 21 19:00:15 2014  commencing square root phase
Wed May 21 19:00:15 2014  reading relations for dependency 1
Wed May 21 19:00:15 2014  read 488279 cycles
Wed May 21 19:00:16 2014  cycles contain 1606956 unique relations
Wed May 21 19:00:30 2014  read 1606956 relations
Wed May 21 19:00:36 2014  multiplying 1606956 relations
Wed May 21 19:01:41 2014  multiply complete, coefficients have about 69.36 million bits
Wed May 21 19:01:42 2014  initial square root is modulo 95401
Wed May 21 19:03:10 2014  GCD is N, no factor found
Wed May 21 19:03:10 2014  reading relations for dependency 2
Wed May 21 19:03:10 2014  read 489476 cycles
Wed May 21 19:03:11 2014  cycles contain 1607350 unique relations
Wed May 21 19:03:25 2014  read 1607350 relations
Wed May 21 19:03:30 2014  multiplying 1607350 relations
Wed May 21 19:04:37 2014  multiply complete, coefficients have about 69.38 million bits
Wed May 21 19:04:37 2014  initial square root is modulo 95597
Wed May 21 19:06:03 2014  GCD is 1, no factor found
Wed May 21 19:06:03 2014  reading relations for dependency 3
Wed May 21 19:06:03 2014  read 488553 cycles
Wed May 21 19:06:03 2014  cycles contain 1605280 unique relations
Wed May 21 19:06:17 2014  read 1605280 relations
Wed May 21 19:06:22 2014  multiplying 1605280 relations
Wed May 21 19:07:28 2014  multiply complete, coefficients have about 69.29 million bits
Wed May 21 19:07:28 2014  initial square root is modulo 94121
Wed May 21 19:08:57 2014  sqrtTime: 522
--
n: 5244865510939219765589410930902758466262215091263719484234890713098487841355558793376050589101411275880047566347637616479428469
skew: 743700.96
c0: -94913997659764257062415585861075
c1: -96986462496247309110942509
c2: 1367716040931943688819
c3: -2374433702722883
c4: -3278948484
c5: 2052
Y0: -4802993584563206030617382
Y1: 20989188052211
rlim: 7800000
alim: 7800000
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
351e6450150Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 8, 2010 16:33:04 UTC 2010 年 11 月 9 日 (火) 1 時 33 分 4 秒 (日本時間)
403e62210110Ignacio SantosNovember 8, 2010 16:33:04 UTC 2010 年 11 月 9 日 (火) 1 時 33 分 4 秒 (日本時間)
1000Dmitry DomanovDecember 6, 2012 14:07:23 UTC 2012 年 12 月 6 日 (木) 23 時 7 分 23 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:33 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 33 秒 (日本時間)
800Serge BatalovMay 19, 2014 18:14:29 UTC 2014 年 5 月 20 日 (火) 3 時 14 分 29 秒 (日本時間)
4511e632 / 3971Ignacio SantosNovember 8, 2010 16:33:04 UTC 2010 年 11 月 9 日 (火) 1 時 33 分 4 秒 (日本時間)

26×10198-113

c150

composite cofactor 合成数の残り
217561710956945901268214631261213959766681605048690070602548747979360825930870829040120560073663049807247683397147667137615493077503226803262781816213<150>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 8, 2010 16:33:54 UTC 2010 年 11 月 9 日 (火) 1 時 33 分 54 秒 (日本時間)
403e62710110Ignacio SantosNovember 8, 2010 16:33:54 UTC 2010 年 11 月 9 日 (火) 1 時 33 分 54 秒 (日本時間)
1000Dmitry DomanovDecember 6, 2012 14:07:34 UTC 2012 年 12 月 6 日 (木) 23 時 7 分 34 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:34 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 34 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:07 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 7 秒 (日本時間)
4511e632 / 3861Ignacio SantosNovember 8, 2010 16:33:54 UTC 2010 年 11 月 9 日 (火) 1 時 33 分 54 秒 (日本時間)

26×10199-113

c177

composite cofactor 合成数の残り
359794991592079638385151090504995512185711278991158881642579745806875664328584808506029212720027475458857433111907866885751749729623097648202944036822848165063172950632405190037<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 8, 2010 17:57:00 UTC 2010 年 11 月 9 日 (火) 2 時 57 分 0 秒 (日本時間)
403e62710110Ignacio SantosNovember 8, 2010 17:57:00 UTC 2010 年 11 月 9 日 (火) 2 時 57 分 0 秒 (日本時間)
1000Dmitry DomanovDecember 7, 2012 06:55:59 UTC 2012 年 12 月 7 日 (金) 15 時 55 分 59 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:34 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 34 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:07 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 7 秒 (日本時間)
4511e632 / 3861Ignacio SantosNovember 8, 2010 17:57:00 UTC 2010 年 11 月 9 日 (火) 2 時 57 分 0 秒 (日本時間)

26×10200-113

c201

name 名前Dmitry Domanov
date 日付November 27, 2009 23:15:43 UTC 2009 年 11 月 28 日 (土) 8 時 15 分 43 秒 (日本時間)
composite number 合成数
866666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<201>
prime factors 素因数
219631702931061976134369747885808367899858190913021959949302323867094375889693220762080723420749513<99>
3945999849296329038851146075899153593764462405886868527184422610760144041919822331667205447984131245551<103>
factorization results 素因数分解の結果
Sieving took 39 days on Xeon E5310 1.86GHz (Windows 2003 Server SP2)
Postprocessing took 23.5 hours (8 cores)

Wed Nov 25 07:01:39 2009  Msieve v. 1.42
Wed Nov 25 07:01:39 2009  random seeds: 0016d1ec c3a03c82
Wed Nov 25 07:01:39 2009  factoring 866666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663 (201 digits)
Wed Nov 25 07:01:42 2009  searching for 15-digit factors
Wed Nov 25 07:01:44 2009  commencing number field sieve (201-digit input)
Wed Nov 25 07:01:44 2009  R0: -10000000000000000000000000000000000000000
Wed Nov 25 07:01:44 2009  R1:  1
Wed Nov 25 07:01:44 2009  A0: -11
Wed Nov 25 07:01:44 2009  A1:  0
Wed Nov 25 07:01:44 2009  A2:  0
Wed Nov 25 07:01:44 2009  A3:  0
Wed Nov 25 07:01:44 2009  A4:  0
Wed Nov 25 07:01:44 2009  A5:  26
Wed Nov 25 07:01:44 2009  skew 0.84, size 5.578690e-014, alpha 1.471114, combined = 1.386997e-011
Wed Nov 25 07:01:44 2009  
Wed Nov 25 07:01:44 2009  commencing relation filtering
Wed Nov 25 07:01:44 2009  estimated available RAM is 4095.0 MB
Wed Nov 25 07:01:44 2009  commencing duplicate removal, pass 1
Wed Nov 25 07:13:10 2009  found 5943338 hash collisions in 42007041 relations
Wed Nov 25 07:14:27 2009  commencing duplicate removal, pass 2
Wed Nov 25 07:18:36 2009  found 5764474 duplicates and 36242567 unique relations
Wed Nov 25 07:18:36 2009  memory use: 197.2 MB
Wed Nov 25 07:18:36 2009  reading ideals above 18284544
Wed Nov 25 07:18:44 2009  commencing singleton removal, initial pass
Wed Nov 25 07:27:59 2009  memory use: 596.8 MB
Wed Nov 25 07:27:59 2009  reading all ideals from disk
Wed Nov 25 07:28:12 2009  memory use: 661.3 MB
Wed Nov 25 07:28:17 2009  commencing in-memory singleton removal
Wed Nov 25 07:28:22 2009  begin with 36242567 relations and 36728595 unique ideals
Wed Nov 25 07:29:15 2009  reduce to 14764672 relations and 11920362 ideals in 21 passes
Wed Nov 25 07:29:15 2009  max relations containing the same ideal: 49
Wed Nov 25 07:29:19 2009  reading ideals above 720000
Wed Nov 25 07:29:20 2009  commencing singleton removal, initial pass
Wed Nov 25 07:34:45 2009  memory use: 298.4 MB
Wed Nov 25 07:34:45 2009  reading all ideals from disk
Wed Nov 25 07:34:54 2009  memory use: 501.5 MB
Wed Nov 25 07:34:59 2009  commencing in-memory singleton removal
Wed Nov 25 07:35:03 2009  begin with 14764763 relations and 14140030 unique ideals
Wed Nov 25 07:35:45 2009  reduce to 14760399 relations and 14135240 ideals in 10 passes
Wed Nov 25 07:35:45 2009  max relations containing the same ideal: 189
Wed Nov 25 07:36:05 2009  removing 2180612 relations and 1935203 ideals in 245409 cliques
Wed Nov 25 07:36:06 2009  commencing in-memory singleton removal
Wed Nov 25 07:36:10 2009  begin with 12579787 relations and 14135240 unique ideals
Wed Nov 25 07:36:49 2009  reduce to 12325260 relations and 11939746 ideals in 11 passes
Wed Nov 25 07:36:49 2009  max relations containing the same ideal: 164
Wed Nov 25 07:37:05 2009  removing 1622619 relations and 1377210 ideals in 245409 cliques
Wed Nov 25 07:37:07 2009  commencing in-memory singleton removal
Wed Nov 25 07:37:10 2009  begin with 10702641 relations and 11939746 unique ideals
Wed Nov 25 07:37:40 2009  reduce to 10529753 relations and 10386055 ideals in 10 passes
Wed Nov 25 07:37:40 2009  max relations containing the same ideal: 149
Wed Nov 25 07:37:54 2009  removing 107501 relations and 98145 ideals in 9356 cliques
Wed Nov 25 07:37:55 2009  commencing in-memory singleton removal
Wed Nov 25 07:37:57 2009  begin with 10422252 relations and 10386055 unique ideals
Wed Nov 25 07:38:15 2009  reduce to 10421333 relations and 10286989 ideals in 6 passes
Wed Nov 25 07:38:15 2009  max relations containing the same ideal: 147
Wed Nov 25 07:38:21 2009  relations with 0 large ideals: 2845
Wed Nov 25 07:38:21 2009  relations with 1 large ideals: 240
Wed Nov 25 07:38:21 2009  relations with 2 large ideals: 6154
Wed Nov 25 07:38:21 2009  relations with 3 large ideals: 65255
Wed Nov 25 07:38:21 2009  relations with 4 large ideals: 363951
Wed Nov 25 07:38:21 2009  relations with 5 large ideals: 1202136
Wed Nov 25 07:38:21 2009  relations with 6 large ideals: 2522194
Wed Nov 25 07:38:21 2009  relations with 7+ large ideals: 6258558
Wed Nov 25 07:38:21 2009  commencing 2-way merge
Wed Nov 25 07:38:42 2009  reduce to 6106240 relation sets and 5971895 unique ideals
Wed Nov 25 07:38:42 2009  commencing full merge
Wed Nov 25 07:42:16 2009  memory use: 632.6 MB
Wed Nov 25 07:42:18 2009  found 3166995 cycles, need 3150095
Wed Nov 25 07:42:18 2009  weight of 3150095 cycles is about 220790303 (70.09/cycle)
Wed Nov 25 07:42:18 2009  distribution of cycle lengths:
Wed Nov 25 07:42:18 2009  1 relations: 431731
Wed Nov 25 07:42:18 2009  2 relations: 392606
Wed Nov 25 07:42:18 2009  3 relations: 386090
Wed Nov 25 07:42:18 2009  4 relations: 345382
Wed Nov 25 07:42:18 2009  5 relations: 293444
Wed Nov 25 07:42:18 2009  6 relations: 254531
Wed Nov 25 07:42:18 2009  7 relations: 215315
Wed Nov 25 07:42:18 2009  8 relations: 176756
Wed Nov 25 07:42:18 2009  9 relations: 145428
Wed Nov 25 07:42:18 2009  10+ relations: 508812
Wed Nov 25 07:42:18 2009  heaviest cycle: 24 relations
Wed Nov 25 07:42:21 2009  commencing cycle optimization
Wed Nov 25 07:42:30 2009  start with 17464318 relations
Wed Nov 25 07:43:23 2009  pruned 322260 relations
Wed Nov 25 07:43:23 2009  memory use: 477.8 MB
Wed Nov 25 07:43:23 2009  distribution of cycle lengths:
Wed Nov 25 07:43:23 2009  1 relations: 431731
Wed Nov 25 07:43:23 2009  2 relations: 400095
Wed Nov 25 07:43:23 2009  3 relations: 397367
Wed Nov 25 07:43:23 2009  4 relations: 350474
Wed Nov 25 07:43:23 2009  5 relations: 298352
Wed Nov 25 07:43:23 2009  6 relations: 255742
Wed Nov 25 07:43:23 2009  7 relations: 215378
Wed Nov 25 07:43:23 2009  8 relations: 175429
Wed Nov 25 07:43:23 2009  9 relations: 143520
Wed Nov 25 07:43:23 2009  10+ relations: 482007
Wed Nov 25 07:43:23 2009  heaviest cycle: 24 relations
Wed Nov 25 07:43:43 2009  RelProcTime: 2519
Wed Nov 25 07:43:43 2009  
Wed Nov 25 07:43:43 2009  commencing linear algebra
Wed Nov 25 07:43:48 2009  read 3150095 cycles
Wed Nov 25 07:43:57 2009  cycles contain 10285527 unique relations
Wed Nov 25 07:55:13 2009  read 10285527 relations
Wed Nov 25 07:55:43 2009  using 20 quadratic characters above 536869410
Wed Nov 25 07:57:06 2009  building initial matrix
Wed Nov 25 08:00:39 2009  memory use: 1151.5 MB
Wed Nov 25 08:00:57 2009  read 3150095 cycles
Wed Nov 25 08:06:32 2009  matrix is 3149918 x 3150095 (902.9 MB) with weight 279978388 (88.88/col)
Wed Nov 25 08:06:32 2009  sparse part has weight 214627921 (68.13/col)
Wed Nov 25 08:08:10 2009  filtering completed in 2 passes
Wed Nov 25 08:08:11 2009  matrix is 3146755 x 3146931 (902.7 MB) with weight 279889156 (88.94/col)
Wed Nov 25 08:08:11 2009  sparse part has weight 214604908 (68.19/col)
Wed Nov 25 08:08:46 2009  read 3146931 cycles
Wed Nov 25 08:37:25 2009  matrix is 3146755 x 3146931 (902.7 MB) with weight 279889156 (88.94/col)
Wed Nov 25 08:37:25 2009  sparse part has weight 214604908 (68.19/col)
Wed Nov 25 08:37:25 2009  saving the first 48 matrix rows for later
Wed Nov 25 08:37:28 2009  matrix is 3146707 x 3146931 (855.2 MB) with weight 221919681 (70.52/col)
Wed Nov 25 08:37:28 2009  sparse part has weight 205309780 (65.24/col)
Wed Nov 25 08:37:28 2009  matrix includes 64 packed rows
Wed Nov 25 08:37:28 2009  using block size 65536 for processor cache size 4096 kB
Wed Nov 25 08:38:02 2009  commencing Lanczos iteration (8 threads)
Wed Nov 25 08:38:02 2009  memory use: 1068.7 MB
Thu Nov 26 05:51:48 2009  lanczos halted after 49761 iterations (dim = 3146707)
Thu Nov 26 05:51:57 2009  recovered 37 nontrivial dependencies
Thu Nov 26 05:51:58 2009  BLanczosTime: 79695
Thu Nov 26 05:51:58 2009  
Thu Nov 26 05:51:58 2009  commencing square root phase
Thu Nov 26 05:51:58 2009  reading relations for dependency 1
Thu Nov 26 05:52:01 2009  read 1574926 cycles
Thu Nov 26 05:52:06 2009  cycles contain 6243919 unique relations
Thu Nov 26 06:01:37 2009  read 6243919 relations
Thu Nov 26 06:02:38 2009  multiplying 5147940 relations
Thu Nov 26 06:13:47 2009  multiply complete, coefficients have about 145.85 million bits
Thu Nov 26 06:13:49 2009  initial square root is modulo 171541
Thu Nov 26 06:32:30 2009  sqrtTime: 2432
Thu Nov 26 06:32:30 2009  prp99 factor: 219631702931061976134369747885808367899858190913021959949302323867094375889693220762080723420749513
Thu Nov 26 06:32:30 2009  prp103 factor: 3945999849296329038851146075899153593764462405886868527184422610760144041919822331667205447984131245551
Thu Nov 26 06:32:30 2009  elapsed time 23:30:51
software ソフトウェア
GGNFS/msieve 1.42

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 23, 2009 19:00:00 UTC 2009 年 10 月 24 日 (土) 4 時 0 分 0 秒 (日本時間)
403e60--
4511e62400Dmitry DomanovNovember 12, 2009 23:44:52 UTC 2009 年 11 月 13 日 (金) 8 時 44 分 52 秒 (日本時間)
5043e61800 / 7014Dmitry DomanovNovember 12, 2009 23:44:52 UTC 2009 年 11 月 13 日 (金) 8 時 44 分 52 秒 (日本時間)

26×10201-113

c159

composite cofactor 合成数の残り
979025620237256542621694895416097118163401895495236617860314892704786131755460011427617995232722480028631317688314733312560877304208871475952970096143822949751<159>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 4, 2012 12:37:56 UTC 2012 年 12 月 4 日 (火) 21 時 37 分 56 秒 (日本時間)
403e626001000Dmitry DomanovDecember 7, 2012 06:56:23 UTC 2012 年 12 月 7 日 (金) 15 時 56 分 23 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:35 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 35 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:07 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 7 秒 (日本時間)

26×10203-113

c174

name 名前Dmitry Domanov
date 日付December 5, 2012 14:50:32 UTC 2012 年 12 月 5 日 (水) 23 時 50 分 32 秒 (日本時間)
composite number 合成数
294569268985707737797106831060939427179451478743911409490383462745960929720235785948417936454473786776368529669465695478487329369418623955437170597186816445102879211051936007<174>
prime factors 素因数
333655027277495966313454034811099971045441<42>
composite cofactor 合成数の残り
882855778884215103764087608494447051333610240846607966670278447263114126564633560465722505156341428993240273567726802593542855565127<132>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4095386399
Step 1 took 23673ms
Step 2 took 9103ms
********** Factor found in step 2: 333655027277495966313454034811099971045441
Found probable prime factor of 42 digits: 333655027277495966313454034811099971045441

c132

name 名前Markus Tervooren
date 日付December 10, 2012 21:37:02 UTC 2012 年 12 月 11 日 (火) 6 時 37 分 2 秒 (日本時間)
composite number 合成数
882855778884215103764087608494447051333610240846607966670278447263114126564633560465722505156341428993240273567726802593542855565127<132>
prime factors 素因数
23761514535353288899834231840476289458417572027<47>
37154861386073204851860189880029742720419002578456188590596580159919462376155418755301<86>
factorization results 素因数分解の結果
Mon Dec 10 19:41:37 2012  Msieve v. 1.51 (SVN 837M)
Mon Dec 10 19:41:37 2012  random seeds: d9c83bcb 4eb29a0d
Mon Dec 10 19:41:37 2012  factoring 882855778884215103764087608494447051333610240846607966670278447263114126564633560465722505156341428993240273567726802593542855565127 (132 digits)
Mon Dec 10 19:41:37 2012  searching for 15-digit factors
Mon Dec 10 19:41:37 2012  commencing number field sieve (132-digit input)
Mon Dec 10 19:41:37 2012  R0: -73202860011890809492841346
Mon Dec 10 19:41:37 2012  R1: 21126748590737
Mon Dec 10 19:41:37 2012  A0: 5338757707785240592367251231734025
Mon Dec 10 19:41:37 2012  A1: -18340757065422491518885394591
Mon Dec 10 19:41:37 2012  A2: -10030726096412721804543
Mon Dec 10 19:41:37 2012  A3: 4302441314148173
Mon Dec 10 19:41:37 2012  A4: 764145080
Mon Dec 10 19:41:37 2012  A5: 420
Mon Dec 10 19:41:37 2012  skew 2191141.19, size 1.121e-12, alpha -7.038, combined = 6.522e-11 rroots = 3
Mon Dec 10 19:41:37 2012
Mon Dec 10 19:41:37 2012  commencing relation filtering
Mon Dec 10 19:41:37 2012  estimated available RAM is 32089.8 MB
Mon Dec 10 19:41:37 2012  commencing duplicate removal, pass 1
Mon Dec 10 19:41:38 2012  error -15 reading relation 94114
Mon Dec 10 19:42:36 2012  error -15 reading relation 5943623
Mon Dec 10 19:43:32 2012  error -11 reading relation 11642719
Mon Dec 10 19:43:33 2012  error -9 reading relation 11731682
Mon Dec 10 19:43:34 2012  error -15 reading relation 11819156
Mon Dec 10 19:43:35 2012  error -15 reading relation 11907699
Mon Dec 10 19:43:36 2012  error -9 reading relation 11992529
Mon Dec 10 19:43:37 2012  error -1 reading relation 12077798
Mon Dec 10 19:43:38 2012  error -9 reading relation 12163325
Mon Dec 10 19:43:39 2012  error -9 reading relation 12247186
Mon Dec 10 19:43:39 2012  error -15 reading relation 12331261
Mon Dec 10 19:43:41 2012  error -15 reading relation 12464955
Mon Dec 10 19:43:41 2012  error -15 reading relation 12483294
Mon Dec 10 19:43:42 2012  error -15 reading relation 12628086
Mon Dec 10 19:44:10 2012  error -15 reading relation 15449898
Mon Dec 10 19:44:11 2012  error -15 reading relation 15484200
Mon Dec 10 19:49:03 2012  found 5854241 hash collisions in 45213346 relations
Mon Dec 10 19:49:31 2012  added 121630 free relations
Mon Dec 10 19:49:31 2012  commencing duplicate removal, pass 2
Mon Dec 10 19:51:24 2012  found 4933175 duplicates and 40401801 unique relations
Mon Dec 10 19:51:24 2012  memory use: 197.2 MB
Mon Dec 10 19:51:24 2012  reading ideals above 720000
Mon Dec 10 19:51:24 2012  commencing singleton removal, initial pass
Mon Dec 10 19:59:01 2012  memory use: 753.0 MB
Mon Dec 10 19:59:01 2012  reading all ideals from disk
Mon Dec 10 19:59:02 2012  memory use: 1263.5 MB
Mon Dec 10 19:59:04 2012  keeping 38539081 ideals with weight <= 200, target excess is 211343
Mon Dec 10 19:59:07 2012  commencing in-memory singleton removal
Mon Dec 10 19:59:10 2012  begin with 40401801 relations and 38539081 unique ideals
Mon Dec 10 19:59:32 2012  reduce to 20631691 relations and 16169882 ideals in 14 passes
Mon Dec 10 19:59:32 2012  max relations containing the same ideal: 132
Mon Dec 10 19:59:39 2012  removing 4154666 relations and 3154666 ideals in 1000000 cliques
Mon Dec 10 19:59:40 2012  commencing in-memory singleton removal
Mon Dec 10 19:59:41 2012  begin with 16477025 relations and 16169882 unique ideals
Mon Dec 10 19:59:50 2012  reduce to 15848891 relations and 12348298 ideals in 9 passes
Mon Dec 10 19:59:50 2012  max relations containing the same ideal: 111
Mon Dec 10 19:59:56 2012  removing 3285809 relations and 2285809 ideals in 1000000 cliques
Mon Dec 10 19:59:57 2012  commencing in-memory singleton removal
Mon Dec 10 19:59:58 2012  begin with 12563082 relations and 12348298 unique ideals
Mon Dec 10 20:00:05 2012  reduce to 12099884 relations and 9569742 ideals in 10 passes
Mon Dec 10 20:00:05 2012  max relations containing the same ideal: 93
Mon Dec 10 20:00:10 2012  removing 3036469 relations and 2036469 ideals in 1000000 cliques
Mon Dec 10 20:00:11 2012  commencing in-memory singleton removal
Mon Dec 10 20:00:11 2012  begin with 9063415 relations and 9569742 unique ideals
Mon Dec 10 20:00:15 2012  reduce to 8601527 relations and 7035305 ideals in 8 passes
Mon Dec 10 20:00:15 2012  max relations containing the same ideal: 74
Mon Dec 10 20:00:19 2012  removing 2891957 relations and 1891957 ideals in 1000000 cliques
Mon Dec 10 20:00:19 2012  commencing in-memory singleton removal
Mon Dec 10 20:00:20 2012  begin with 5709570 relations and 7035305 unique ideals
Mon Dec 10 20:00:22 2012  reduce to 5176090 relations and 4551309 ideals in 8 passes
Mon Dec 10 20:00:22 2012  max relations containing the same ideal: 55
Mon Dec 10 20:00:24 2012  removing 1278470 relations and 898847 ideals in 379623 cliques
Mon Dec 10 20:00:24 2012  commencing in-memory singleton removal
Mon Dec 10 20:00:24 2012  begin with 3897620 relations and 4551309 unique ideals
Mon Dec 10 20:00:26 2012  reduce to 3678861 relations and 3417865 ideals in 9 passes
Mon Dec 10 20:00:26 2012  max relations containing the same ideal: 47
Mon Dec 10 20:00:28 2012  removing 98769 relations and 82931 ideals in 15838 cliques
Mon Dec 10 20:00:28 2012  commencing in-memory singleton removal
Mon Dec 10 20:00:28 2012  begin with 3580092 relations and 3417865 unique ideals
Mon Dec 10 20:00:29 2012  reduce to 3578528 relations and 3333360 ideals in 5 passes
Mon Dec 10 20:00:29 2012  max relations containing the same ideal: 46
Mon Dec 10 20:00:29 2012  relations with 0 large ideals: 836
Mon Dec 10 20:00:29 2012  relations with 1 large ideals: 11497
Mon Dec 10 20:00:29 2012  relations with 2 large ideals: 106874
Mon Dec 10 20:00:29 2012  relations with 3 large ideals: 439237
Mon Dec 10 20:00:29 2012  relations with 4 large ideals: 917962
Mon Dec 10 20:00:29 2012  relations with 5 large ideals: 1054020
Mon Dec 10 20:00:29 2012  relations with 6 large ideals: 703949
Mon Dec 10 20:00:29 2012  relations with 7+ large ideals: 344153
Mon Dec 10 20:00:29 2012  commencing 2-way merge
Mon Dec 10 20:00:31 2012  reduce to 2166604 relation sets and 1921436 unique ideals
Mon Dec 10 20:00:31 2012  commencing full merge
Mon Dec 10 20:00:51 2012  memory use: 232.7 MB
Mon Dec 10 20:00:51 2012  found 1151179 cycles, need 1117636
Mon Dec 10 20:00:51 2012  weight of 1117636 cycles is about 78569011 (70.30/cycle)
Mon Dec 10 20:00:51 2012  distribution of cycle lengths:
Mon Dec 10 20:00:51 2012  1 relations: 97661
Mon Dec 10 20:00:51 2012  2 relations: 115302
Mon Dec 10 20:00:51 2012  3 relations: 125264
Mon Dec 10 20:00:51 2012  4 relations: 125860
Mon Dec 10 20:00:51 2012  5 relations: 122096
Mon Dec 10 20:00:51 2012  6 relations: 113613
Mon Dec 10 20:00:51 2012  7 relations: 100031
Mon Dec 10 20:00:51 2012  8 relations: 83286
Mon Dec 10 20:00:51 2012  9 relations: 67836
Mon Dec 10 20:00:51 2012  10+ relations: 166687
Mon Dec 10 20:00:51 2012  heaviest cycle: 16 relations
Mon Dec 10 20:00:51 2012  commencing cycle optimization
Mon Dec 10 20:00:53 2012  start with 6397732 relations
Mon Dec 10 20:00:58 2012  pruned 175693 relations
Mon Dec 10 20:00:58 2012  memory use: 210.2 MB
Mon Dec 10 20:00:58 2012  distribution of cycle lengths:
Mon Dec 10 20:00:58 2012  1 relations: 97661
Mon Dec 10 20:00:58 2012  2 relations: 117866
Mon Dec 10 20:00:58 2012  3 relations: 130122
Mon Dec 10 20:00:58 2012  4 relations: 130019
Mon Dec 10 20:00:58 2012  5 relations: 126711
Mon Dec 10 20:00:58 2012  6 relations: 116946
Mon Dec 10 20:00:58 2012  7 relations: 101875
Mon Dec 10 20:00:58 2012  8 relations: 83570
Mon Dec 10 20:00:58 2012  9 relations: 66922
Mon Dec 10 20:00:58 2012  10+ relations: 145944
Mon Dec 10 20:00:58 2012  heaviest cycle: 16 relations
Mon Dec 10 20:01:00 2012  RelProcTime: 1163
Mon Dec 10 20:01:00 2012
Mon Dec 10 20:01:00 2012  commencing linear algebra
Mon Dec 10 20:01:00 2012  read 1117636 cycles
Mon Dec 10 20:01:01 2012  cycles contain 3435707 unique relations
Mon Dec 10 20:03:11 2012  read 3435707 relations
Mon Dec 10 20:03:14 2012  using 20 quadratic characters above 536866824
Mon Dec 10 20:03:26 2012  building initial matrix
Mon Dec 10 20:03:49 2012  memory use: 446.4 MB
Mon Dec 10 20:03:49 2012  read 1117636 cycles
Mon Dec 10 20:03:50 2012  matrix is 1117456 x 1117636 (338.2 MB) with weight 106759441 (95.52/col)
Mon Dec 10 20:03:50 2012  sparse part has weight 75255606 (67.33/col)
Mon Dec 10 20:03:56 2012  filtering completed in 2 passes
Mon Dec 10 20:03:56 2012  matrix is 1116953 x 1117133 (338.2 MB) with weight 106738087 (95.55/col)
Mon Dec 10 20:03:56 2012  sparse part has weight 75248427 (67.36/col)
Mon Dec 10 20:03:59 2012  matrix starts at (0, 0)
Mon Dec 10 20:03:59 2012  matrix is 1116953 x 1117133 (338.2 MB) with weight 106738087 (95.55/col)
Mon Dec 10 20:03:59 2012  sparse part has weight 75248427 (67.36/col)
Mon Dec 10 20:03:59 2012  saving the first 48 matrix rows for later
Mon Dec 10 20:03:59 2012  matrix includes 64 packed rows
Mon Dec 10 20:03:59 2012  matrix is 1116905 x 1117133 (324.7 MB) with weight 84734658 (75.85/col)
Mon Dec 10 20:03:59 2012  sparse part has weight 73943966 (66.19/col)
Mon Dec 10 20:03:59 2012  using block size 65536 for processor cache size 8192 kB
Mon Dec 10 20:04:02 2012  commencing Lanczos iteration (4 threads)
Mon Dec 10 20:04:02 2012  memory use: 278.8 MB
Mon Dec 10 20:04:05 2012  linear algebra at 0.1%, ETA 0h36m
Mon Dec 10 20:04:06 2012  checkpointing every 1820000 dimensions
Mon Dec 10 20:46:04 2012  lanczos halted after 17664 iterations (dim = 1116903)
Mon Dec 10 20:46:05 2012  recovered 27 nontrivial dependencies
Mon Dec 10 20:46:05 2012  BLanczosTime: 2705
Mon Dec 10 20:46:05 2012
Mon Dec 10 20:46:05 2012  commencing square root phase
Mon Dec 10 20:46:05 2012  reading relations for dependency 1
Mon Dec 10 20:46:05 2012  read 558692 cycles
Mon Dec 10 20:46:05 2012  cycles contain 1719832 unique relations
Mon Dec 10 20:49:11 2012  read 1719832 relations
Mon Dec 10 20:49:16 2012  multiplying 1719832 relations
Mon Dec 10 20:50:17 2012  multiply complete, coefficients have about 72.15 million bits
Mon Dec 10 20:50:17 2012  initial square root is modulo 151013
Mon Dec 10 20:51:32 2012  sqrtTime: 327
Mon Dec 10 20:51:32 2012  prp47 factor: 23761514535353288899834231840476289458417572027
Mon Dec 10 20:51:32 2012  prp86 factor: 37154861386073204851860189880029742720419002578456188590596580159919462376155418755301
Mon Dec 10 20:51:32 2012  elapsed time 01:09:55

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 4, 2012 12:38:17 UTC 2012 年 12 月 4 日 (火) 21 時 38 分 17 秒 (日本時間)
403e630001000Dmitry DomanovDecember 7, 2012 06:56:33 UTC 2012 年 12 月 7 日 (金) 15 時 56 分 33 秒 (日本時間)
2000Warut RoonguthaiDecember 8, 2012 05:48:56 UTC 2012 年 12 月 8 日 (土) 14 時 48 分 56 秒 (日本時間)

26×10204-113

c169

name 名前Warut Roonguthai
date 日付December 2, 2012 15:52:41 UTC 2012 年 12 月 3 日 (月) 0 時 52 分 41 秒 (日本時間)
composite number 合成数
2302254457771540886276491849726843434608238922027052917647332291298422975029685676310741006620261976504920077559735541387281951310777895996895533825909714652678186186593<169>
prime factors 素因数
22594716182823472726553639807641234293131<41>
101893488687488678158468717620146693526647610273023392948326965258307856240952103342106725250716926215708119299815735038425051203<129>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1362296527
Step 1 took 7597ms
Step 2 took 5569ms
********** Factor found in step 2: 22594716182823472726553639807641234293131
Found probable prime factor of 41 digits: 22594716182823472726553639807641234293131
Probable prime cofactor 101893488687488678158468717620146693526647610273023392948326965258307856240952103342106725250716926215708119299815735038425051203 has 129 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)

26×10205-113

c206

name 名前Jo Yeong Uk
date 日付March 2, 2013 22:43:18 UTC 2013 年 3 月 3 日 (日) 7 時 43 分 18 秒 (日本時間)
composite number 合成数
86666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<206>
prime factors 素因数
453688177359362506370663242926921333092601939162721549<54>
191026945359474828893224727472476047875544794298986272492273127353446611090352427626375423466425955926980272886667232454208669532452422030706936862413187<153>
factorization results 素因数分解の結果
Number: 86663_205
N=86666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663
  ( 206 digits)
SNFS difficulty: 206 digits.
Divisors found:
 r1=453688177359362506370663242926921333092601939162721549
 r2=191026945359474828893224727472476047875544794298986272492273127353446611090352427626375423466425955926980272886667232454208669532452422030706936862413187
Version: 
Total time: 526.98 hours.
Scaled time: 1936.66 units (timescale=3.675).
Factorization parameters were as follows:
n: 86666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663
m: 100000000000000000000000000000000000000000
deg: 5
c5: 26
c0: -11
skew: 0.84
# Murphy_E = 8.546e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [11000000, 25500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 41294395
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3984150 x 3984398
Total sieving time: 470.79 hours.
Total relation processing time: 11.36 hours.
Matrix solve time: 43.33 hours.
Time per square root: 1.51 hours.
Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,22000000,22000000,29,29,56,56,2.6,2.6,100000
total time: 526.98 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz stepping 02
Memory: 36991712k/38797312k available (5073k kernel code, 1057684k absent, 747916k reserved, 7245k data, 1252k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6666.73 BogoMIPS (lpj=3333367)
Total of 12 processors activated (80000.80 BogoMIPS).
x86info v1.25.  Dave Jones 2001-2009
Feedback to <davej@redhat.com>.

Found 12 CPUs
--------------------------------------------------------------------------
CPU #1
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)       Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x0 Package: 0  Core: 0   SMT ID 0
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #2
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x2 Package: 0  Core: 0   SMT ID 2
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #3
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x4 Package: 0  Core: 0   SMT ID 4
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #4
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x10        Package: 0  Core: 0   SMT ID 16
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #5
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x12        Package: 0  Core: 0   SMT ID 18
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #6
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x14        Package: 0  Core: 0   SMT ID 20
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #7
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x1 Package: 0  Core: 0   SMT ID 1
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #8
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x3 Package: 0  Core: 0   SMT ID 3
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #9
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x5 Package: 0  Core: 0   SMT ID 5
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #10
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x11        Package: 0  Core: 0   SMT ID 17
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #11
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x13        Package: 0  Core: 0   SMT ID 19
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #12
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x15        Package: 0  Core: 0   SMT ID 21
3.35GHz processor (estimate).

--------------------------------------------------------------------------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7 980

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 4, 2012 12:38:26 UTC 2012 年 12 月 4 日 (火) 21 時 38 分 26 秒 (日本時間)
403e61000Dmitry DomanovDecember 7, 2012 06:56:46 UTC 2012 年 12 月 7 日 (金) 15 時 56 分 46 秒 (日本時間)
4511e64194618Serge BatalovJanuary 21, 2013 00:10:57 UTC 2013 年 1 月 21 日 (月) 9 時 10 分 57 秒 (日本時間)
3576Jo Yeong UkFebruary 18, 2013 12:47:33 UTC 2013 年 2 月 18 日 (月) 21 時 47 分 33 秒 (日本時間)

26×10206-113

c160

composite cofactor 合成数の残り
1292039301972464882822417049857751781410791618865125647824000870149311196256848546664571766917651973910866067040896589632986139777797698625903709541009025318771<160>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 4, 2012 12:38:34 UTC 2012 年 12 月 4 日 (火) 21 時 38 分 34 秒 (日本時間)
403e626001000Dmitry DomanovDecember 7, 2012 06:56:55 UTC 2012 年 12 月 7 日 (金) 15 時 56 分 55 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:36 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 36 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:08 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 8 秒 (日本時間)

26×10208-113

c164

name 名前Warut Roonguthai
date 日付December 2, 2012 18:21:12 UTC 2012 年 12 月 3 日 (月) 3 時 21 分 12 秒 (日本時間)
composite number 合成数
24296969334013810082630608250200292684282579771390368243412253024628290445859577779635686004952787186720633011760049891801572702274205885115054107033535643569700909<164>
prime factors 素因数
40085208938565834421738744937358643<35>
606133034537778942075079808063607196457747033510316170222233268124170366421240749635771766319090180481408752925811414862792344863<129>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2989409731
Step 1 took 7847ms
Step 2 took 952ms
********** Factor found in step 2: 40085208938565834421738744937358643
Found probable prime factor of 35 digits: 40085208938565834421738744937358643
Probable prime cofactor 606133034537778942075079808063607196457747033510316170222233268124170366421240749635771766319090180481408752925811414862792344863 has 129 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)

26×10209-113

c210

name 名前Serge Batalov
date 日付November 8, 2013 18:04:02 UTC 2013 年 11 月 9 日 (土) 3 時 4 分 2 秒 (日本時間)
composite number 合成数
123809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809523809<210>
prime factors 素因数
10149552559386574893461781284808955704169<41>
12198520386499352065181730709584371465915473431507144404747836906031503411958753689117158810389951449131091557711031417828578048618574439236812028073455356255732916565561<170>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3577737436
Step 1 took 65002ms
Step 2 took 23210ms
********** Factor found in step 2: 10149552559386574893461781284808955704169
Found probable prime factor of 41 digits: 10149552559386574893461781284808955704169
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 4, 2012 12:38:41 UTC 2012 年 12 月 4 日 (火) 21 時 38 分 41 秒 (日本時間)
403e61000Dmitry DomanovDecember 7, 2012 06:57:04 UTC 2012 年 12 月 7 日 (金) 15 時 57 分 4 秒 (日本時間)
4511e6850 / 4194Serge BatalovNovember 8, 2013 17:14:04 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 4 秒 (日本時間)

26×10210-113

c210

name 名前Dmitry Domanov
date 日付December 5, 2012 06:58:56 UTC 2012 年 12 月 5 日 (水) 15 時 58 分 56 秒 (日本時間)
composite number 合成数
456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877<210>
prime factors 素因数
1825145229574770943352630426610779887967<40>
249920030190400925591705740618712908680873798298533585540077890001738856476303690175833319812869072498156837564387028110294363726938749386116385768213590554212505386841731<171>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1916181031
Step 1 took 39663ms
Step 2 took 13535ms
********** Factor found in step 2: 1825145229574770943352630426610779887967
Found probable prime factor of 40 digits: 1825145229574770943352630426610779887967

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 4, 2012 12:38:54 UTC 2012 年 12 月 4 日 (火) 21 時 38 分 54 秒 (日本時間)

26×10211-113

c157

name 名前Warut Roonguthai
date 日付December 2, 2012 16:09:35 UTC 2012 年 12 月 3 日 (月) 1 時 9 分 35 秒 (日本時間)
composite number 合成数
9218693952330505399939823794337181257907503770515013849141911700971269530629918017455816244594974267165996958169955987289504771141937340253988560286477907427<157>
prime factors 素因数
7733984405807697841648575719477<31>
1191972141217131413930426130721666162274301329053339244670074893963070055808625442632227200630025217993447376813729941241223351<127>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3962705299
Step 1 took 7519ms
Step 2 took 5632ms
********** Factor found in step 2: 7733984405807697841648575719477
Found probable prime factor of 31 digits: 7733984405807697841648575719477
Probable prime cofactor 1191972141217131413930426130721666162274301329053339244670074893963070055808625442632227200630025217993447376813729941241223351 has 127 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)

26×10212-113

c203

composite cofactor 合成数の残り
50602000809888798650022960250132134362706551103605413902017764674985474179429801619462747758545191634387006634201376210888039742564965418102293671839176312006146412198576862778209813346547667497568199163<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 4, 2012 12:39:28 UTC 2012 年 12 月 4 日 (火) 21 時 39 分 28 秒 (日本時間)
403e626001000Dmitry DomanovDecember 7, 2012 06:57:14 UTC 2012 年 12 月 7 日 (金) 15 時 57 分 14 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:37 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 37 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:08 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 8 秒 (日本時間)

26×10213-113

c142

name 名前Rich Dickerson
date 日付November 20, 2015 22:14:42 UTC 2015 年 11 月 21 日 (土) 7 時 14 分 42 秒 (日本時間)
composite number 合成数
1135985100781867531560399285929356115748913286160884292566084342730584106066677761559066676351085958272763320353164558636457945777678919287673<142>
prime factors 素因数
872906014815123552236629142515798670829788676043<48>
1301383060148190878143991265198425285670124725021635357969342663586217759110373562209406638411<94>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2412510792
Step 1 took 84895ms
Step 2 took 23634ms
********** Factor found in step 2: 872906014815123552236629142515798670829788676043
Found probable prime factor of 48 digits: 872906014815123552236629142515798670829788676043
Probable prime cofactor 1301383060148190878143991265198425285670124725021635357969342663586217759110373562209406638411 has 94 digits
software ソフトウェア
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
execution environment 実行環境
Core i5-3570K, OpenSUSE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 2, 2012 18:08:24 UTC 2012 年 12 月 3 日 (月) 3 時 8 分 24 秒 (日本時間)
403e62700Warut RoonguthaiDecember 3, 2012 12:04:39 UTC 2012 年 12 月 3 日 (月) 21 時 4 分 39 秒 (日本時間)
4511e63350 / 3842850Serge BatalovNovember 8, 2013 17:09:33 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 33 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:43 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 43 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:32 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 32 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:39 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 39 秒 (日本時間)

26×10214-113

c187

name 名前Warut Roonguthai
date 日付December 3, 2012 01:06:56 UTC 2012 年 12 月 3 日 (月) 10 時 6 分 56 秒 (日本時間)
composite number 合成数
2181877574240354339767658227959475986998092383924599385652951520227440405467566925909873177950115059229429576736697470577818148879936586487554618632684352460925106378538305392079790566129<187>
prime factors 素因数
3185571556431066961085642895978047<34>
composite cofactor 合成数の残り
684924992450901267621765931204050619533690606891422502432176869689952412062865259617714122282703299345006291654423334124683891924585285845717540096883407<153>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2558915851
Step 1 took 10577ms
Step 2 took 1513ms
********** Factor found in step 2: 3185571556431066961085642895978047
Found probable prime factor of 34 digits: 3185571556431066961085642895978047
Composite cofactor 684924992450901267621765931204050619533690606891422502432176869689952412062865259617714122282703299345006291654423334124683891924585285845717540096883407 has 153 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 4, 2012 12:39:40 UTC 2012 年 12 月 4 日 (火) 21 時 39 分 40 秒 (日本時間)
403e626001000Dmitry DomanovDecember 7, 2012 06:57:30 UTC 2012 年 12 月 7 日 (金) 15 時 57 分 30 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:37 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 37 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:09 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 9 秒 (日本時間)

26×10215-113

c206

composite cofactor 合成数の残り
10926421790006642756411735502679343403410742533517802947489353871512381864850806633123120197427548903905420308573425652037512218395889932499995438817754635717397887634532365655593089471157952865841315509079<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 4, 2012 12:39:51 UTC 2012 年 12 月 4 日 (火) 21 時 39 分 51 秒 (日本時間)
403e613001000Dmitry DomanovDecember 7, 2012 06:57:42 UTC 2012 年 12 月 7 日 (金) 15 時 57 分 42 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:38 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 38 秒 (日本時間)
4511e6493 / 4128193CypMarch 11, 2014 09:02:18 UTC 2014 年 3 月 11 日 (火) 18 時 2 分 18 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:39 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 39 秒 (日本時間)

26×10216-113

c153

composite cofactor 合成数の残り
119475119268121351832346171875444200783378733310087825764519015064244527523033651847328363914231872406577222274485512078161770997351957037320571559143311<153>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 4, 2012 12:39:59 UTC 2012 年 12 月 4 日 (火) 21 時 39 分 59 秒 (日本時間)
403e613001000Dmitry DomanovDecember 7, 2012 06:57:51 UTC 2012 年 12 月 7 日 (金) 15 時 57 分 51 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:40 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 40 秒 (日本時間)
4511e6493 / 4128193CypMarch 8, 2014 12:56:48 UTC 2014 年 3 月 8 日 (土) 21 時 56 分 48 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:40 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 40 秒 (日本時間)

26×10218-113

c214

name 名前Serge Batalov
date 日付December 15, 2014 09:35:40 UTC 2014 年 12 月 15 日 (月) 18 時 35 分 40 秒 (日本時間)
composite number 合成数
1126607745081598899044246652566737426299271214782133561081422108290403078585656636824560742139852752367717835023894916962509527418382685252227975143566658130446444317628854677567029911002321245265539278962376934353<214>
prime factors 素因数
1172314072397739466515795846078594421100481165165814213677702179036043235768637<79>
961011875236934414681464133883482132865011979897073086988068309677635001090488516091300790061722960012247861657433317261496858605983269<135>
factorization results 素因数分解の結果
RelProcTime: 1765
matrix is 3864522 x 3864699 (1422.1 MB) with weight 424884463 (109.94/col)
BLanczosTime: 25331
sqrtTime: 2012
prp79 factor: 1172314072397739466515795846078594421100481165165814213677702179036043235768637
prp135 factor: 961011875236934414681464133883482132865011979897073086988068309677635001090488516091300790061722960012247861657433317261496858605983269

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 4, 2012 12:40:26 UTC 2012 年 12 月 4 日 (火) 21 時 40 分 26 秒 (日本時間)
403e61000Dmitry DomanovDecember 7, 2012 06:57:59 UTC 2012 年 12 月 7 日 (金) 15 時 57 分 59 秒 (日本時間)
4511e64250850Serge BatalovNovember 8, 2013 17:14:56 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 56 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:06 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 6 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:28 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 28 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:37 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 37 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:40 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 40 秒 (日本時間)
5043e665552000Serge BatalovDecember 12, 2014 18:46:05 UTC 2014 年 12 月 13 日 (土) 3 時 46 分 5 秒 (日本時間)
4555Serge BatalovDecember 12, 2014 20:55:51 UTC 2014 年 12 月 13 日 (土) 5 時 55 分 51 秒 (日本時間)

26×10219-113

c192

name 名前Dmitry Domanov
date 日付December 4, 2012 17:21:57 UTC 2012 年 12 月 5 日 (水) 2 時 21 分 57 秒 (日本時間)
composite number 合成数
496291365219895240818513548711644349058325395894021860276807144252769199007996935213366070758385073256523646438801723024120079797155343934167854753709220007725275050440326242119243653457769977<192>
prime factors 素因数
38806137343311447503091000862785042069571904427449<50>
12788991618240383376874367693847894575214161445851907154952765054012442381497109932154378047759174287962011427525320046134566151301283602743873<143>
factorization results 素因数分解の結果
Nice p50 with B1=3e6 !

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=286175263
Step 1 took 33438ms
Step 2 took 12288ms
********** Factor found in step 2: 38806137343311447503091000862785042069571904427449
Found probable prime factor of 50 digits: 38806137343311447503091000862785042069571904427449
Probable prime cofactor 127889916182403833768743676938478945752141614458519071549527650540124423814971099321543780

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 4, 2012 12:40:53 UTC 2012 年 12 月 4 日 (火) 21 時 40 分 53 秒 (日本時間)

26×10222-113

c191

composite cofactor 合成数の残り
65065596233392831847619761072644048995713462756761749320320037212171426020976945589629025996372281467817711779157092015516149610540954103604834209300480448126081334420965581799420543659909193<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 4, 2012 12:41:06 UTC 2012 年 12 月 4 日 (火) 21 時 41 分 6 秒 (日本時間)
403e626001000Dmitry DomanovDecember 7, 2012 06:58:09 UTC 2012 年 12 月 7 日 (金) 15 時 58 分 9 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:41 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 41 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:09 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 9 秒 (日本時間)

26×10223-113

c194

name 名前Cyp
date 日付February 18, 2014 21:00:54 UTC 2014 年 2 月 19 日 (水) 6 時 0 分 54 秒 (日本時間)
composite number 合成数
20113381250475098752611704156412015528207818384075045615932857136659588211703072104442399432347466907032286622907927370143514670024089697112463097121336681135206297374609469385513677357111655293<194>
prime factors 素因数
2683518928125402455811623855471255616022553<43>
composite cofactor 合成数の残り
7495151623366968974239710308924187458904276594044552879834370348836142576809793293809006256403594623320232872132714286152158812952940073660549057784581<151>
factorization results 素因数分解の結果
Run 22 out of 193:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2749665781
Step 1 took 70877ms
Step 2 took 20952ms
********** Factor found in step 2: 2683518928125402455811623855471255616022553
Found probable prime factor of 43 digits: 2683518928125402455811623855471255616022553
Composite cofactor 7495151623366968974239710308924187458904276594044552879834370348836142576809793293809006256403594623320232872132714286152158812952940073660549057784581 has 151 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 4, 2012 12:41:14 UTC 2012 年 12 月 4 日 (火) 21 時 41 分 14 秒 (日本時間)
403e613001000Dmitry DomanovDecember 7, 2012 06:58:18 UTC 2012 年 12 月 7 日 (金) 15 時 58 分 18 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:42 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 42 秒 (日本時間)
4511e64129193CypFebruary 18, 2014 21:00:53 UTC 2014 年 2 月 19 日 (水) 6 時 0 分 53 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:18 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 18 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:40 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 40 秒 (日本時間)
2736Ignacio SantosMarch 11, 2016 20:13:52 UTC 2016 年 3 月 12 日 (土) 5 時 13 分 52 秒 (日本時間)

26×10224-113

c208

composite cofactor 合成数の残り
3761710465678661618710159694667371694833820225485639040510133888971773899183572054259125676109220582481844139329736010298101972452672012555157310643304930437019114185057063432791727318566719269035106465406741<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 4, 2012 12:41:21 UTC 2012 年 12 月 4 日 (火) 21 時 41 分 21 秒 (日本時間)
403e626001000Dmitry DomanovDecember 7, 2012 06:58:27 UTC 2012 年 12 月 7 日 (金) 15 時 58 分 27 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:43 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 43 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:09 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 9 秒 (日本時間)

26×10225-113

c215

name 名前Warut Roonguthai
date 日付December 3, 2012 01:59:00 UTC 2012 年 12 月 3 日 (月) 10 時 59 分 0 秒 (日本時間)
composite number 合成数
98710204681914294480566845828467615912173820241231191021198052708662037339686268408309990364726418102489378407057784181500761557689724473922148544367228778762150192572367191238101973389718883820127610771956617264849<215>
prime factors 素因数
50258767758208042443732320854771<32>
1964039491712237114516727278309758422684128173312284169481815576193933147122943334055797361616511221891477772853270438521794516876696773206749285370871868704189842198519944053109170219<184>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=489277405
Step 1 took 13790ms
Step 2 took 7816ms
********** Factor found in step 2: 50258767758208042443732320854771
Found probable prime factor of 32 digits: 50258767758208042443732320854771
Probable prime cofactor 1964039491712237114516727278309758422684128173312284169481815576193933147122943334055797361616511221891477772853270438521794516876696773206749285370871868704189842198519944053109170219 has 184 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)

26×10227-113

c148

name 名前Warut Roonguthai
date 日付December 3, 2012 02:41:12 UTC 2012 年 12 月 3 日 (月) 11 時 41 分 12 秒 (日本時間)
composite number 合成数
1866122854307924343093879536793626664295580931662510339954445592680340133840947618773185004405787402096045110424149918103733182020236676071605239679<148>
prime factors 素因数
101602089461692721091557785822237<33>
18366973200994189280017195161942626897910293077781463732913500261880636700883923825575223779785120938015940937115467<116>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2250482444
Step 1 took 6240ms
********** Factor found in step 1: 101602089461692721091557785822237
Found probable prime factor of 33 digits: 101602089461692721091557785822237
Probable prime cofactor 18366973200994189280017195161942626897910293077781463732913500261880636700883923825575223779785120938015940937115467 has 116 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)

26×10228-113

c182

name 名前Warut Roonguthai
date 日付December 3, 2012 02:45:23 UTC 2012 年 12 月 3 日 (月) 11 時 45 分 23 秒 (日本時間)
composite number 合成数
12828154821617130601659407097181440735334616837441347962027531185893357177658926076310157131580081915565237587714555675669176837837647009380120417812079628817998434096096793794471637<182>
prime factors 素因数
13218011325053154007055569608797<32>
970505661264104291187169538070223117730455223786371209209295844876718931443289078154542370699898336382097775089843856690517895752693002755582878357721<150>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3163406689
Step 1 took 9220ms
Step 2 took 5866ms
********** Factor found in step 2: 13218011325053154007055569608797
Found probable prime factor of 32 digits: 13218011325053154007055569608797
Probable prime cofactor 970505661264104291187169538070223117730455223786371209209295844876718931443289078154542370699898336382097775089843856690517895752693002755582878357721 has 150 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)

26×10231-113

c228

composite cofactor 合成数の残り
121352992518121268978907916415792691749396735604501262537864467377048415176591941227812238916037731445827557397631749676780971850773158585024107238706003705933694591857214202034062851515278808500310383615479040937965283709294239<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 4, 2012 12:42:01 UTC 2012 年 12 月 4 日 (火) 21 時 42 分 1 秒 (日本時間)
403e61000Dmitry DomanovDecember 7, 2012 06:58:37 UTC 2012 年 12 月 7 日 (金) 15 時 58 分 37 秒 (日本時間)
4511e642501000Dmitry DomanovDecember 28, 2012 15:34:10 UTC 2012 年 12 月 29 日 (土) 0 時 34 分 10 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:15:59 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 59 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:52 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 52 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:45 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 45 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:58 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 58 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:41 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 41 秒 (日本時間)

26×10235-113

c230

composite cofactor 合成数の残り
37229884657521575076138693921233305797537873174106844327676252359622930000514058792001932517397453504527798337742926787288629119755222099888639687314790273320334375913295608004826138586527335255254532845850951302308524913308065697<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 4, 2012 12:42:08 UTC 2012 年 12 月 4 日 (火) 21 時 42 分 8 秒 (日本時間)
403e61000Dmitry DomanovDecember 7, 2012 06:58:46 UTC 2012 年 12 月 7 日 (金) 15 時 58 分 46 秒 (日本時間)
4511e642501000Dmitry DomanovDecember 28, 2012 15:33:31 UTC 2012 年 12 月 29 日 (土) 0 時 33 分 31 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:16:45 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 45 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:26 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 26 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:45 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 45 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:13 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 13 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:41 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 41 秒 (日本時間)

26×10237-113

c226

name 名前Warut Roonguthai
date 日付December 3, 2012 03:05:35 UTC 2012 年 12 月 3 日 (月) 12 時 5 分 35 秒 (日本時間)
composite number 合成数
7922129515970533867007070556933665332613361723805770814422174950628453429827012713541939879142099006886199251453652678460880589228324115344009251932272706674549420407915659046120472783518283162870230492766915490108061095978091<226>
prime factors 素因数
1592700336260947817964679681823<31>
4974023886105699413517039581945417170191152047820042805425422836179573588112790582077268253366159431193820593977307895647554653796755823747227707039762657373175772823355761033998859421999677457717<196>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3190233391
Step 1 took 14056ms
Step 2 took 7737ms
********** Factor found in step 2: 1592700336260947817964679681823
Found probable prime factor of 31 digits: 1592700336260947817964679681823
Probable prime cofactor 4974023886105699413517039581945417170191152047820042805425422836179573588112790582077268253366159431193820593977307895647554653796755823747227707039762657373175772823355761033998859421999677457717 has 196 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)

26×10238-113

c228

composite cofactor 合成数の残り
216171374510208524145576865837488259230041511984275075056750846360392672953943866661465643591364567033790041658328570819399438099884499366629834029240528541662169025314673628445342933043883058209650725784713587980824195127684183<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 4, 2012 12:42:16 UTC 2012 年 12 月 4 日 (火) 21 時 42 分 16 秒 (日本時間)
403e626001000Dmitry DomanovDecember 7, 2012 06:58:56 UTC 2012 年 12 月 7 日 (金) 15 時 58 分 56 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:44 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 44 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:10 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 10 秒 (日本時間)

26×10239-113

c199

name 名前Warut Roonguthai
date 日付December 3, 2012 09:37:55 UTC 2012 年 12 月 3 日 (月) 18 時 37 分 55 秒 (日本時間)
composite number 合成数
1518540791906758652848184971051298197538576769625576878324358788860174765825827660698859981856343396607611632504758242029449115344327614331572924140200797426062579786773811317821100455072805069488769<199>
prime factors 素因数
30829521763909564057213655869218138641<38>
49256060588148057239692426543609023489459723741474160789623767436832615043980703319595093175773575352305169813443071156701761463640891062409465640534090463601009<161>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2228944207
Step 1 took 9797ms
Step 2 took 5788ms
********** Factor found in step 2: 30829521763909564057213655869218138641
Found probable prime factor of 38 digits: 30829521763909564057213655869218138641
Probable prime cofactor 49256060588148057239692426543609023489459723741474160789623767436832615043980703319595093175773575352305169813443071156701761463640891062409465640534090463601009 has 161 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)

26×10240-113

c230

composite cofactor 合成数の残り
49403221887479527828832750627747473742697222792427669654357237215881205632424186049325960656200182607567540854150610792583270171222469211677354662286994980580891156161487791490963504496986033224768118558989770981866012105190373201<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 4, 2012 12:42:32 UTC 2012 年 12 月 4 日 (火) 21 時 42 分 32 秒 (日本時間)
403e613001000Dmitry DomanovDecember 7, 2012 06:59:05 UTC 2012 年 12 月 7 日 (金) 15 時 59 分 5 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:44 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 44 秒 (日本時間)
4511e6493 / 4128193CypMarch 11, 2014 14:49:59 UTC 2014 年 3 月 11 日 (火) 23 時 49 分 59 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:42 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 42 秒 (日本時間)

26×10241-113

c211

composite cofactor 合成数の残り
3034463741138003935433265029049597879283552168602809788044886258599080878295355419860726281162966363008408645227645533135716614767836685594252792371080937329042140958079075957305493068184127925656663172353204143<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 4, 2012 12:42:41 UTC 2012 年 12 月 4 日 (火) 21 時 42 分 41 秒 (日本時間)
403e626001000Dmitry DomanovDecember 7, 2012 06:59:13 UTC 2012 年 12 月 7 日 (金) 15 時 59 分 13 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:45 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 45 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:10 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 10 秒 (日本時間)

26×10242-113

c238

composite cofactor 合成数の残り
1039454078717857381303339486101899282496832663485137605729470881892829885744007247393668845122541641130078482780843500993278330220967947633902674315449525908992597088009377474950156177975327358071540826757786810367195149107688641925260853<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 4, 2012 12:42:49 UTC 2012 年 12 月 4 日 (火) 21 時 42 分 49 秒 (日本時間)
403e61000Dmitry DomanovDecember 7, 2012 06:59:22 UTC 2012 年 12 月 7 日 (金) 15 時 59 分 22 秒 (日本時間)
4511e6400Dmitry DomanovDecember 16, 2012 22:25:18 UTC 2012 年 12 月 17 日 (月) 7 時 25 分 18 秒 (日本時間)
5043e61100 / 7417500Dmitry DomanovJanuary 5, 2013 15:26:27 UTC 2013 年 1 月 6 日 (日) 0 時 26 分 27 秒 (日本時間)
600Dmitry DomanovJanuary 25, 2013 09:50:08 UTC 2013 年 1 月 25 日 (金) 18 時 50 分 8 秒 (日本時間)

26×10243-113

c198

composite cofactor 合成数の残り
767881298857274581305879110814249367079104731347798665397954813501551129020424150784721918315567952074379041685439978346506517888379869360789745786971737291156073288168093400485651220060034176515733<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 4, 2012 12:42:56 UTC 2012 年 12 月 4 日 (火) 21 時 42 分 56 秒 (日本時間)
403e61000Dmitry DomanovDecember 7, 2012 06:59:33 UTC 2012 年 12 月 7 日 (金) 15 時 59 分 33 秒 (日本時間)
4511e6590 / 4194290CypJanuary 8, 2014 08:39:19 UTC 2014 年 1 月 8 日 (水) 17 時 39 分 19 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:42 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 42 秒 (日本時間)

26×10246-113

c158

composite cofactor 合成数の残り
47546403291222806370421369759309883795225000493701491695593901257016133919760687103229662220428176272256175978351582640142074985413810137236412602593157387683<158>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 4, 2012 12:43:13 UTC 2012 年 12 月 4 日 (火) 21 時 43 分 13 秒 (日本時間)
403e61000Dmitry DomanovDecember 7, 2012 06:59:41 UTC 2012 年 12 月 7 日 (金) 15 時 59 分 41 秒 (日本時間)
4511e642221000Dmitry DomanovJanuary 8, 2013 14:16:13 UTC 2013 年 1 月 8 日 (火) 23 時 16 分 13 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:12:31 UTC 2013 年 11 月 9 日 (土) 2 時 12 分 31 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:18 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 18 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:09 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 9 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:42 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 42 秒 (日本時間)
772Ignacio SantosDecember 25, 2015 10:24:29 UTC 2015 年 12 月 25 日 (金) 19 時 24 分 29 秒 (日本時間)

26×10248-113

c245

name 名前Warut Roonguthai
date 日付December 2, 2012 18:53:42 UTC 2012 年 12 月 3 日 (月) 3 時 53 分 42 秒 (日本時間)
composite number 合成数
18217616435092734674430173978236955135616140808161492162921545134144717942250155900756031082056348488988852220096833638128069843538701924761244123067005794603381469881375289905338462293037367134018595982314898506856129877591631107280740476040331<245>
prime factors 素因数
790295726716233225156059278758269699<36>
composite cofactor 合成数の残り
23051644870697909763892711466558287924370444615161182803975325482261527385277110941053104678283489104809231036754546571429084731968770177265345482394196633984565447745183907128352085198101555955899279377898969<209>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2320332264
Step 1 took 13135ms
Step 2 took 7145ms
********** Factor found in step 2: 790295726716233225156059278758269699
Found probable prime factor of 36 digits: 790295726716233225156059278758269699
Composite cofactor 23051644870697909763892711466558287924370444615161182803975325482261527385277110941053104678283489104809231036754546571429084731968770177265345482394196633984565447745183907128352085198101555955899279377898969 has 209 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 4, 2012 12:43:23 UTC 2012 年 12 月 4 日 (火) 21 時 43 分 23 秒 (日本時間)
403e626001000Dmitry DomanovDecember 7, 2012 06:59:52 UTC 2012 年 12 月 7 日 (金) 15 時 59 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:08:46 UTC 2014 年 1 月 9 日 (木) 14 時 8 分 46 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:11 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 11 秒 (日本時間)

26×10249-113

c250

name 名前Dmitry Domanov
date 日付December 17, 2012 08:18:42 UTC 2012 年 12 月 17 日 (月) 17 時 18 分 42 秒 (日本時間)
composite number 合成数
8666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<250>
prime factors 素因数
2062438061557626288102126616247030936732749<43>
4202146395669837946220662122851347755006591902812608673589366652524743431762740634091843638853792988177240640181359611162964802148889701889307832532137992958274236969921123910543989036762817926843655499707587<208>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=826126844
Step 1 took 519305ms
Step 2 took 140254ms
********** Factor found in step 2: 2062438061557626288102126616247030936732749
Found probable prime factor of 43 digits: 2062438061557626288102126616247030936732749

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 4, 2012 12:43:33 UTC 2012 年 12 月 4 日 (火) 21 時 43 分 33 秒 (日本時間)
403e61000Dmitry DomanovDecember 7, 2012 07:00:01 UTC 2012 年 12 月 7 日 (金) 16 時 0 分 1 秒 (日本時間)
4511e61000 / 2089Dmitry DomanovDecember 14, 2012 09:36:10 UTC 2012 年 12 月 14 日 (金) 18 時 36 分 10 秒 (日本時間)
5043e6600 / 7283Dmitry DomanovDecember 14, 2012 15:11:50 UTC 2012 年 12 月 15 日 (土) 0 時 11 分 50 秒 (日本時間)

26×10250-113

c246

composite cofactor 合成数の残り
421204742765403538443842877670802573236974648334540246923180355010797421578966979168185433767984227502401677042883502868242296408257556980091595831369061215629287985782719913426225179295518867542448527970424946984903050008343093943237800857637657<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 2, 2012 01:00:00 UTC 2012 年 12 月 2 日 (日) 10 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 4, 2012 12:43:42 UTC 2012 年 12 月 4 日 (火) 21 時 43 分 42 秒 (日本時間)
403e61000Dmitry DomanovDecember 7, 2012 07:00:12 UTC 2012 年 12 月 7 日 (金) 16 時 0 分 12 秒 (日本時間)
4511e6600Dmitry DomanovDecember 7, 2012 07:00:12 UTC 2012 年 12 月 7 日 (金) 16 時 0 分 12 秒 (日本時間)
5043e61040Dmitry DomanovDecember 11, 2012 18:19:54 UTC 2012 年 12 月 12 日 (水) 3 時 19 分 54 秒 (日本時間)
5511e72640 / 17352yoyo@homeMarch 27, 2013 20:55:07 UTC 2013 年 3 月 28 日 (木) 5 時 55 分 7 秒 (日本時間)