Table of contents 目次

44×10110-539

c91

name 名前Robert Backstrom
date 日付February 26, 2009 03:32:38 UTC 2009 年 2 月 26 日 (木) 12 時 32 分 38 秒 (日本時間)
composite number 合成数
4251562040146140473214122361854652982848323985713055697350360731657598250913534246242509379<91>
prime factors 素因数
5206728456358460814368918326710497623619<40>
816551520937130805126208331277646872665420305239041<51>
factorization results 素因数分解の結果
Thu Feb 26 12:33:30 2009  
Thu Feb 26 12:33:30 2009  
Thu Feb 26 12:33:30 2009  Msieve v. 1.39
Thu Feb 26 12:33:30 2009  random seeds: 1c0eaa08 647b5fed
Thu Feb 26 12:33:30 2009  factoring 4251562040146140473214122361854652982848323985713055697350360731657598250913534246242509379 (91 digits)
Thu Feb 26 12:33:30 2009  searching for 15-digit factors
Thu Feb 26 12:33:31 2009  commencing quadratic sieve (91-digit input)
Thu Feb 26 12:33:32 2009  using multiplier of 3
Thu Feb 26 12:33:32 2009  using 64kb Opteron sieve core
Thu Feb 26 12:33:32 2009  sieve interval: 18 blocks of size 65536
Thu Feb 26 12:33:32 2009  processing polynomials in batches of 6
Thu Feb 26 12:33:32 2009  using a sieve bound of 1719869 (64602 primes)
Thu Feb 26 12:33:32 2009  using large prime bound of 165107424 (27 bits)
Thu Feb 26 12:33:32 2009  using double large prime bound of 619412223763104 (42-50 bits)
Thu Feb 26 12:33:32 2009  using trial factoring cutoff of 50 bits
Thu Feb 26 12:33:32 2009  polynomial 'A' values have 12 factors
Thu Feb 26 14:20:01 2009  64779 relations (16935 full + 47844 combined from 763205 partial), need 64698
Thu Feb 26 14:20:02 2009  begin with 780140 relations
Thu Feb 26 14:20:03 2009  reduce to 161345 relations in 11 passes
Thu Feb 26 14:20:03 2009  attempting to read 161345 relations
Thu Feb 26 14:20:04 2009  recovered 161345 relations
Thu Feb 26 14:20:04 2009  recovered 140533 polynomials
Thu Feb 26 14:20:05 2009  attempting to build 64779 cycles
Thu Feb 26 14:20:05 2009  found 64779 cycles in 6 passes
Thu Feb 26 14:20:05 2009  distribution of cycle lengths:
Thu Feb 26 14:20:05 2009     length 1 : 16935
Thu Feb 26 14:20:05 2009     length 2 : 12091
Thu Feb 26 14:20:05 2009     length 3 : 11203
Thu Feb 26 14:20:05 2009     length 4 : 8860
Thu Feb 26 14:20:05 2009     length 5 : 6186
Thu Feb 26 14:20:05 2009     length 6 : 4047
Thu Feb 26 14:20:05 2009     length 7 : 2466
Thu Feb 26 14:20:05 2009     length 9+: 2991
Thu Feb 26 14:20:05 2009  largest cycle: 21 relations
Thu Feb 26 14:20:06 2009  matrix is 64602 x 64779 (16.1 MB) with weight 3955790 (61.07/col)
Thu Feb 26 14:20:06 2009  sparse part has weight 3955790 (61.07/col)
Thu Feb 26 14:20:07 2009  filtering completed in 3 passes
Thu Feb 26 14:20:07 2009  matrix is 60649 x 60713 (15.2 MB) with weight 3741452 (61.63/col)
Thu Feb 26 14:20:07 2009  sparse part has weight 3741452 (61.63/col)
Thu Feb 26 14:20:08 2009  saving the first 48 matrix rows for later
Thu Feb 26 14:20:08 2009  matrix is 60601 x 60713 (9.7 MB) with weight 2963658 (48.81/col)
Thu Feb 26 14:20:08 2009  sparse part has weight 2177748 (35.87/col)
Thu Feb 26 14:20:08 2009  matrix includes 64 packed rows
Thu Feb 26 14:20:08 2009  using block size 21845 for processor cache size 512 kB
Thu Feb 26 14:20:08 2009  commencing Lanczos iteration
Thu Feb 26 14:20:08 2009  memory use: 9.4 MB
Thu Feb 26 14:20:43 2009  lanczos halted after 960 iterations (dim = 60599)
Thu Feb 26 14:20:43 2009  recovered 16 nontrivial dependencies
Thu Feb 26 14:20:44 2009  prp40 factor: 5206728456358460814368918326710497623619
Thu Feb 26 14:20:44 2009  prp51 factor: 816551520937130805126208331277646872665420305239041
Thu Feb 26 14:20:44 2009  elapsed time 01:47:14

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)

44×10111-539

c109

name 名前Jo Yeong Uk
date 日付February 25, 2009 17:02:50 UTC 2009 年 2 月 26 日 (木) 2 時 2 分 50 秒 (日本時間)
composite number 合成数
2404765808602503142591681696452970432311307864677269497731868612340820899601027490845493796797289173088484451<109>
prime factors 素因数
15072748997352795060939680449363695294889116749<47>
159543943113817436805969360550316504075555966470480954857298799<63>
factorization results 素因数分解の結果
Number: 48883_111
N=2404765808602503142591681696452970432311307864677269497731868612340820899601027490845493796797289173088484451
  ( 109 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=15072748997352795060939680449363695294889116749
 r2=159543943113817436805969360550316504075555966470480954857298799
Version: 
Total time: 0.55 hours.
Scaled time: 1.31 units (timescale=2.380).
Factorization parameters were as follows:
n: 2404765808602503142591681696452970432311307864677269497731868612340820899601027490845493796797289173088484451
m: 20000000000000000000000
deg: 5
c5: 55
c0: -212
skew: 1.31
type: snfs
lss: 1
rlim: 400000
alim: 400000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 400000/400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [200000, 400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 1137031
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 51705 x 51933
Total sieving time: 0.50 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,113,5,0,0,0,0,0,0,0,0,400000,400000,25,25,45,45,2.2,2.2,25000
total time: 0.55 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: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)
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--
351e6118 / 904Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)

44×10124-539

c101

name 名前Erik Branger
date 日付February 25, 2009 19:47:44 UTC 2009 年 2 月 26 日 (木) 4 時 47 分 44 秒 (日本時間)
composite number 合成数
64763403372051254345862180645606745671444139005957866904918665429237488531590248316682524769830667499<101>
prime factors 素因数
105879858460003669738444647465173<33>
611668775478348043887642134207958264068062222551430503567302962499263<69>
factorization results 素因数分解の結果
Number: 48883_124
N=64763403372051254345862180645606745671444139005957866904918665429237488531590248316682524769830667499
  ( 101 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=105879858460003669738444647465173
 r2=611668775478348043887642134207958264068062222551430503567302962499263
Version: 
Total time: 2.66 hours.
Scaled time: 2.09 units (timescale=0.787).
Factorization parameters were as follows:
n: 64763403372051254345862180645606745671444139005957866904918665429237488531590248316682524769830667499
m: 10000000000000000000000000
deg: 5
c5: 22
c0: -265
skew: 1.64
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: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 114200 x 114440
Total sieving time: 2.66 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,126,5,0,0,0,0,0,0,0,0,890000,890000,26,26,46,46,2.3,2.3,50000
total time: 2.66 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)

44×10125-539

c95

name 名前Robert Backstrom
date 日付February 26, 2009 03:40:57 UTC 2009 年 2 月 26 日 (木) 12 時 40 分 57 秒 (日本時間)
composite number 合成数
44032561758547617341803247676823990868053192972587863182516175908299645509602916744544203602831<95>
prime factors 素因数
21359195843830967403453380962112507429977<41>
2061527132411459461397036590954458932353735933027377703<55>
factorization results 素因数分解の結果
Thu Feb 26 12:35:45 2009  
Thu Feb 26 12:35:45 2009  
Thu Feb 26 12:35:45 2009  Msieve v. 1.39
Thu Feb 26 12:35:45 2009  random seeds: 4e3e03e0 16ce5ef6
Thu Feb 26 12:35:45 2009  factoring 44032561758547617341803247676823990868053192972587863182516175908299645509602916744544203602831 (95 digits)
Thu Feb 26 12:35:45 2009  searching for 15-digit factors
Thu Feb 26 12:35:46 2009  commencing quadratic sieve (95-digit input)
Thu Feb 26 12:35:46 2009  using multiplier of 1
Thu Feb 26 12:35:46 2009  using 64kb Opteron sieve core
Thu Feb 26 12:35:46 2009  sieve interval: 18 blocks of size 65536
Thu Feb 26 12:35:46 2009  processing polynomials in batches of 6
Thu Feb 26 12:35:46 2009  using a sieve bound of 2162071 (79710 primes)
Thu Feb 26 12:35:46 2009  using large prime bound of 324310650 (28 bits)
Thu Feb 26 12:35:46 2009  using double large prime bound of 2087998231332900 (43-51 bits)
Thu Feb 26 12:35:46 2009  using trial factoring cutoff of 51 bits
Thu Feb 26 12:35:46 2009  polynomial 'A' values have 12 factors
Thu Feb 26 14:29:17 2009  79910 relations (20477 full + 59433 combined from 1182055 partial), need 79806
Thu Feb 26 14:29:19 2009  begin with 1202532 relations
Thu Feb 26 14:29:20 2009  reduce to 204460 relations in 10 passes
Thu Feb 26 14:29:20 2009  attempting to read 204460 relations
Thu Feb 26 14:29:23 2009  recovered 204460 relations
Thu Feb 26 14:29:23 2009  recovered 182671 polynomials
Thu Feb 26 14:29:23 2009  attempting to build 79910 cycles
Thu Feb 26 14:29:23 2009  found 79910 cycles in 5 passes
Thu Feb 26 14:29:24 2009  distribution of cycle lengths:
Thu Feb 26 14:29:24 2009     length 1 : 20477
Thu Feb 26 14:29:24 2009     length 2 : 14443
Thu Feb 26 14:29:24 2009     length 3 : 13675
Thu Feb 26 14:29:24 2009     length 4 : 10718
Thu Feb 26 14:29:24 2009     length 5 : 7849
Thu Feb 26 14:29:24 2009     length 6 : 5123
Thu Feb 26 14:29:24 2009     length 7 : 3277
Thu Feb 26 14:29:24 2009     length 9+: 4348
Thu Feb 26 14:29:24 2009  largest cycle: 21 relations
Thu Feb 26 14:29:24 2009  matrix is 79710 x 79910 (21.1 MB) with weight 5207940 (65.17/col)
Thu Feb 26 14:29:24 2009  sparse part has weight 5207940 (65.17/col)
Thu Feb 26 14:29:25 2009  filtering completed in 3 passes
Thu Feb 26 14:29:25 2009  matrix is 75065 x 75129 (20.0 MB) with weight 4934428 (65.68/col)
Thu Feb 26 14:29:25 2009  sparse part has weight 4934428 (65.68/col)
Thu Feb 26 14:29:25 2009  saving the first 48 matrix rows for later
Thu Feb 26 14:29:25 2009  matrix is 75017 x 75129 (13.0 MB) with weight 3925757 (52.25/col)
Thu Feb 26 14:29:25 2009  sparse part has weight 2952697 (39.30/col)
Thu Feb 26 14:29:25 2009  matrix includes 64 packed rows
Thu Feb 26 14:29:25 2009  using block size 30051 for processor cache size 1024 kB
Thu Feb 26 14:29:26 2009  commencing Lanczos iteration
Thu Feb 26 14:29:26 2009  memory use: 12.2 MB
Thu Feb 26 14:30:04 2009  lanczos halted after 1188 iterations (dim = 75016)
Thu Feb 26 14:30:04 2009  recovered 17 nontrivial dependencies
Thu Feb 26 14:30:05 2009  prp41 factor: 21359195843830967403453380962112507429977
Thu Feb 26 14:30:05 2009  prp55 factor: 2061527132411459461397036590954458932353735933027377703
Thu Feb 26 14:30:05 2009  elapsed time 01:54:20

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)

44×10128-539

c119

name 名前Erik Branger
date 日付February 25, 2009 18:25:49 UTC 2009 年 2 月 26 日 (木) 3 時 25 分 49 秒 (日本時間)
composite number 合成数
30608860635742654933980094618371424703761115776636432481511316570990030268286904377930692261821975632452045301747427793<119>
prime factors 素因数
11596514298237038639067575234023927441349<41>
2639488026190419162144058720175270446979675692915179501209940086668045827264157<79>
factorization results 素因数分解の結果
Number: 48883_128
N=30608860635742654933980094618371424703761115776636432481511316570990030268286904377930692261821975632452045301747427793
  ( 119 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=11596514298237038639067575234023927441349
 r2=2639488026190419162144058720175270446979675692915179501209940086668045827264157
Version: 
Total time: 2.71 hours.
Scaled time: 2.57 units (timescale=0.950).
Factorization parameters were as follows:
n: 30608860635742654933980094618371424703761115776636432481511316570990030268286904377930692261821975632452045301747427793
m: 100000000000000000000000000
deg: 5
c5: 11
c0: -1325
skew: 2.61
type: snfs
lss: 1
rlim: 1070000
alim: 1070000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1070000/1070000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [535000, 935001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 164487 x 164734
Total sieving time: 2.71 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,131,5,0,0,0,0,0,0,0,0,1070000,1070000,26,26,47,47,2.3,2.3,50000
total time: 2.71 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)
403e6500 / 2318Erik BrangerFebruary 25, 2009 16:28:48 UTC 2009 年 2 月 26 日 (木) 1 時 28 分 48 秒 (日本時間)

44×10129-539

c115

name 名前Erik Branger
date 日付February 25, 2009 20:03:27 UTC 2009 年 2 月 26 日 (木) 5 時 3 分 27 秒 (日本時間)
composite number 合成数
4357952949637687480439860834487236713464822412626922260738831005387602493757440039797623836283296431890596931127341<115>
prime factors 素因数
105441685305072759250343963660885215379364893<45>
41330456138185682306653571302025199180323207767883057670613596493709137<71>
factorization results 素因数分解の結果
Number: 48883_129
N=4357952949637687480439860834487236713464822412626922260738831005387602493757440039797623836283296431890596931127341
  ( 115 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=105441685305072759250343963660885215379364893
 r2=41330456138185682306653571302025199180323207767883057670613596493709137
Version: 
Total time: 2.55 hours.
Scaled time: 2.54 units (timescale=0.997).
Factorization parameters were as follows:
n: 4357952949637687480439860834487236713464822412626922260738831005387602493757440039797623836283296431890596931127341
m: 100000000000000000000000000
deg: 5
c5: 22
c0: -265
skew: 1.64
type: snfs
lss: 1
rlim: 1080000
alim: 1080000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1080000/1080000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [540000, 890001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 138240 x 138488
Total sieving time: 2.55 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,131,5,0,0,0,0,0,0,0,0,1080000,1080000,26,26,47,47,2.3,2.3,50000
total time: 2.55 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)

44×10132-539

c133

name 名前Robert Backstrom
date 日付March 8, 2009 10:14:53 UTC 2009 年 3 月 8 日 (日) 19 時 14 分 53 秒 (日本時間)
composite number 合成数
4888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<133>
prime factors 素因数
1110220553312655297808882682723776743181104103<46>
4403529437733352862117465895923540771817098994724462891230371415746741912312872108706261<88>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 4888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883 (133 digits)
Using B1=20000000, B2=59950304286, polynomial Dickson(12), sigma=2504866877
Step 1 took 257030ms
Step 2 took 84305ms
********** Factor found in step 2: 1110220553312655297808882682723776743181104103
Found probable prime factor of 46 digits: 1110220553312655297808882682723776743181104103
Probable prime cofactor 4403529437733352862117465895923540771817098994724462891230371415746741912312872108706261 has 88 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)

44×10135-539

c117

name 名前Ignacio Santos
date 日付February 26, 2009 10:20:33 UTC 2009 年 2 月 26 日 (木) 19 時 20 分 33 秒 (日本時間)
composite number 合成数
143686827011691925346526157094251099188322446463017116723156638837921518214692501721207858184843360138281649003357941<117>
prime factors 素因数
332560041044241248900484291976845162767167<42>
432062813561467316727657432335915267712627225383416457686955661487805189323<75>
factorization results 素因数分解の結果
Number: 48883_135
N=143686827011691925346526157094251099188322446463017116723156638837921518214692501721207858184843360138281649003357941
  ( 117 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=332560041044241248900484291976845162767167 (pp42)
 r2=432062813561467316727657432335915267712627225383416457686955661487805189323 (pp75)
Version: Msieve-1.39
Total time: 3.60 hours.
Scaled time: 9.25 units (timescale=2.571).
Factorization parameters were as follows:
n: 143686827011691925346526157094251099188322446463017116723156638837921518214692501721207858184843360138281649003357941
m: 1000000000000000000000000000
deg: 5
c5: 44
c0: -53
skew: 1.04
type: snfs
lss: 1
rlim: 1330000
alim: 1330000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1330000/1330000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [665000, 1265001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 190904 x 191152
Total sieving time: 3.60 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,136,5,0,0,0,0,0,0,0,0,1330000,1330000,26,26,48,48,2.3,2.3,75000
total time: 3.60 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--
351e6118 / 904Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)

44×10141-539

c109

name 名前Jo Yeong Uk
date 日付February 25, 2009 16:21:27 UTC 2009 年 2 月 26 日 (木) 1 時 21 分 27 秒 (日本時間)
composite number 合成数
3154343958053389376334984624566041695442685230963101653023859921211386889423050385418406800432231574239119049<109>
prime factors 素因数
6199736064021385889457145645067<31>
composite cofactor 合成数の残り
508786813741771010621372438944508866566847913331596410044410894001651984362747<78>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 3154343958053389376334984624566041695442685230963101653023859921211386889423050385418406800432231574239119049 (109 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1434853449
Step 1 took 3287ms
Step 2 took 1989ms
********** Factor found in step 2: 6199736064021385889457145645067
Found probable prime factor of 31 digits: 6199736064021385889457145645067
Composite cofactor 508786813741771010621372438944508866566847913331596410044410894001651984362747 has 78 digits
execution environment 実行環境
Core 2 Quad Q6700

c78

name 名前Robert Backstrom
date 日付February 26, 2009 15:09:52 UTC 2009 年 2 月 27 日 (金) 0 時 9 分 52 秒 (日本時間)
composite number 合成数
508786813741771010621372438944508866566847913331596410044410894001651984362747<78>
prime factors 素因数
8369302132878724900360524015317<31>
60792023715215966066345455742641376351243291791<47>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.1.4] [ECM]
Input number is 508786813741771010621372438944508866566847913331596410044410894001651984362747 (78 digits)
Using B1=452000, B2=347971482, polynomial Dickson(3), sigma=880082943
Step 1 took 3437ms
Step 2 took 1875ms
********** Factor found in step 2: 8369302132878724900360524015317
Found probable prime factor of 31 digits: 8369302132878724900360524015317
Probable prime cofactor 60792023715215966066345455742641376351243291791 has 47 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)

44×10143-539

c128

name 名前Sinkiti Sibata
date 日付February 26, 2009 23:08:14 UTC 2009 年 2 月 27 日 (金) 8 時 8 分 14 秒 (日本時間)
composite number 合成数
22703739585359152834153630462313097456102458702056872748467242203681433200574940099692377148680851774990929417252110879730588707<128>
prime factors 素因数
3166361761003036680303142908682110958372709395350709<52>
7170292373088502235906232820143055411742367312635436307677957012591149333623<76>
factorization results 素因数分解の結果
Number: 48883_143
N=22703739585359152834153630462313097456102458702056872748467242203681433200574940099692377148680851774990929417252110879730588707
  ( 128 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=3166361761003036680303142908682110958372709395350709 (pp52)
 r2=7170292373088502235906232820143055411742367312635436307677957012591149333623 (pp76)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 19.94 hours.
Scaled time: 9.41 units (timescale=0.472).
Factorization parameters were as follows:
name: 48883_143
n: 22703739585359152834153630462313097456102458702056872748467242203681433200574940099692377148680851774990929417252110879730588707
m: 100000000000000000000000000000
deg: 5
c5: 11
c0: -1325
skew: 2.61
type: snfs
lss: 1
rlim: 1900000
alim: 1900000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1900000/1900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [950000, 2450001)
Primes: RFBsize:142029, AFBsize:142523, largePrimes:4104424 encountered
Relations: rels:4229370, finalFF:348448
Max relations in full relation-set: 28
Initial matrix: 284618 x 348448 with sparse part having weight 35413561.
Pruned matrix : 262138 x 263625 with weight 24173663.
Total sieving time: 17.49 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.14 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1900000,1900000,26,26,49,49,2.3,2.3,100000
total time: 19.94 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--
351e6118 / 904Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)

44×10151-539

c141

name 名前Sinkiti Sibata
date 日付February 28, 2009 09:33:21 UTC 2009 年 2 月 28 日 (土) 18 時 33 分 21 秒 (日本時間)
composite number 合成数
143472952596491781054853177023595303753457066690313745153344570376869567149465397211683238998531186432590885097236794256571770660035621060553<141>
prime factors 素因数
1223424440156560969442482741818564284725731966756254692657813<61>
117271609007689616091476396520146862786413933843883272607744325347034802241242981<81>
factorization results 素因数分解の結果
Number: 48883_151
N=143472952596491781054853177023595303753457066690313745153344570376869567149465397211683238998531186432590885097236794256571770660035621060553
  ( 141 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=1223424440156560969442482741818564284725731966756254692657813
 r2=117271609007689616091476396520146862786413933843883272607744325347034802241242981
Version: 
Total time: 20.66 hours.
Scaled time: 52.98 units (timescale=2.564).
Factorization parameters were as follows:
name: 48883_151
n: 143472952596491781054853177023595303753457066690313745153344570376869567149465397211683238998531186432590885097236794256571770660035621060553
m: 2000000000000000000000000000000
deg: 5
c5: 55
c0: -212
skew: 1.31
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 2250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 441545 x 441793
Total sieving time: 20.66 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,153,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 20.66 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)

44×10153-539

c146

name 名前Sinkiti Sibata
date 日付February 27, 2009 10:58:00 UTC 2009 年 2 月 27 日 (金) 19 時 58 分 0 秒 (日本時間)
composite number 合成数
55772046796889604611565433373184869108095366970314153076733218930415322606287422908723895375387076542638241231242160565438609419535425162563569787<146>
prime factors 素因数
200326200647338176783717118787364154206526143935667093756398611<63>
278406152648363885257167153873463163169044380062157145420913892618617561178604359417<84>
factorization results 素因数分解の結果
Number: 48883_153
N=55772046796889604611565433373184869108095366970314153076733218930415322606287422908723895375387076542638241231242160565438609419535425162563569787
  ( 146 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=200326200647338176783717118787364154206526143935667093756398611
 r2=278406152648363885257167153873463163169044380062157145420913892618617561178604359417
Version: 
Total time: 21.35 hours.
Scaled time: 54.53 units (timescale=2.554).
Factorization parameters were as follows:
name: 48883_153
n: 55772046796889604611565433373184869108095366970314153076733218930415322606287422908723895375387076542638241231242160565438609419535425162563569787
m: 10000000000000000000000000000000
deg: 5
c5: 11
c0: -1325
skew: 2.61
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 556380 x 556627
Total sieving time: 21.35 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,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 21.35 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)

44×10156-539

c148

name 名前Ignacio Santos
date 日付February 26, 2009 09:56:16 UTC 2009 年 2 月 26 日 (木) 18 時 56 分 16 秒 (日本時間)
composite number 合成数
3904548555183361474972152974898301500498034441516456316616201170811593739854587975847222604768148422814799459053584850965755880391863655682531856151<148>
prime factors 素因数
22678645829390954202749404051050551174900006487478899476556840123289<68>
172168505322445876370816162423063654892260575030429034434333933237155428621798959<81>
factorization results 素因数分解の結果
Number: 48883_156
N=3904548555183361474972152974898301500498034441516456316616201170811593739854587975847222604768148422814799459053584850965755880391863655682531856151
  ( 148 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=22678645829390954202749404051050551174900006487478899476556840123289 (pp68)
 r2=172168505322445876370816162423063654892260575030429034434333933237155428621798959 (pp81)
Version: Msieve-1.39
Total time: 25.70 hours.
Scaled time: 66.08 units (timescale=2.571).
Factorization parameters were as follows:
n: 3904548555183361474972152974898301500498034441516456316616201170811593739854587975847222604768148422814799459053584850965755880391863655682531856151
m: 20000000000000000000000000000000
deg: 5
c5: 55
c0: -212
skew: 1.31
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 569817 x 570065
Total sieving time: 25.70 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,158,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 25.70 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)

44×10161-539

c153

name 名前Ignacio Santos
date 日付February 26, 2009 22:35:18 UTC 2009 年 2 月 27 日 (金) 7 時 35 分 18 秒 (日本時間)
composite number 合成数
316401814297965907394291797154972600399998639673545127845303781978003377261891752987666719911842619277112628571479923032120541297983200838818775228405179<153>
prime factors 素因数
270753400153194627352563532766388049026002628614359930789354579172611<69>
1168597750273654958778265117257632928376975109003170721228878788746067186593553414889<85>
factorization results 素因数分解の結果
Number: 48883_161
N=316401814297965907394291797154972600399998639673545127845303781978003377261891752987666719911842619277112628571479923032120541297983200838818775228405179
  ( 153 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=270753400153194627352563532766388049026002628614359930789354579172611 (pp69)
 r2=1168597750273654958778265117257632928376975109003170721228878788746067186593553414889 (pp85)
Version: Msieve-1.39
Total time: 38.09 hours.
Scaled time: 97.94 units (timescale=2.571).
Factorization parameters were as follows:
n: 316401814297965907394291797154972600399998639673545127845303781978003377261891752987666719911842619277112628571479923032120541297983200838818775228405179
m: 200000000000000000000000000000000
deg: 5
c5: 55
c0: -212
skew: 1.31
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1850000, 3850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 695008 x 695256
Total sieving time: 38.09 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,163,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 38.09 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
351e6904118Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)
786Jo Yeong UkFebruary 26, 2009 06:51:22 UTC 2009 年 2 月 26 日 (木) 15 時 51 分 22 秒 (日本時間)

44×10163-539

c154

name 名前Ignacio Santos
date 日付February 28, 2009 11:10:55 UTC 2009 年 2 月 28 日 (土) 20 時 10 分 55 秒 (日本時間)
composite number 合成数
1598409962619200596193855594467257493982145487120616427743983492682436548094421930883169039497314160954071802200907617979095677885648999229600476844498337<154>
prime factors 素因数
3409381221648677307546535609243234419019084991<46>
468826997834597142439467798015574281037728660247030807287630943512703579760743270536065940594634112718677407<108>
factorization results 素因数分解の結果
Number: 48883_163
N=1598409962619200596193855594467257493982145487120616427743983492682436548094421930883169039497314160954071802200907617979095677885648999229600476844498337
  ( 154 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=3409381221648677307546535609243234419019084991 (pp46)
 r2=468826997834597142439467798015574281037728660247030807287630943512703579760743270536065940594634112718677407 (pp108)
Version: Msieve-1.39
Total time: 43.07 hours.
Scaled time: 110.73 units (timescale=2.571).
Factorization parameters were as follows:
n: 1598409962619200596193855594467257493982145487120616427743983492682436548094421930883169039497314160954071802200907617979095677885648999229600476844498337
m: 1000000000000000000000000000000000
deg: 5
c5: 11
c0: -1325
skew: 2.61
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, 4250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 809954 x 810202
Total sieving time: 43.07 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,166,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 43.07 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
351e6904118Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)
786Jo Yeong UkFebruary 26, 2009 06:51:40 UTC 2009 年 2 月 26 日 (木) 15 時 51 分 40 秒 (日本時間)

44×10164-539

c108

name 名前Sinkiti Sibata
date 日付February 27, 2009 22:34:43 UTC 2009 年 2 月 28 日 (土) 7 時 34 分 43 秒 (日本時間)
composite number 合成数
102942977633012101180739550347858143335187192258265597979941494870078161661437989140125181736468106633738763<108>
prime factors 素因数
7862625727717047507506747886063428866231417793<46>
13092697172411652719473407661621196298322843061510254562777291<62>
factorization results 素因数分解の結果
Number: 48883_164
N=102942977633012101180739550347858143335187192258265597979941494870078161661437989140125181736468106633738763
  ( 108 digits)
Divisors found:
 r1=7862625727717047507506747886063428866231417793 (pp46)
 r2=13092697172411652719473407661621196298322843061510254562777291 (pp62)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 21.84 hours.
Scaled time: 10.31 units (timescale=0.472).
Factorization parameters were as follows:
name: 48883_164
n: 102942977633012101180739550347858143335187192258265597979941494870078161661437989140125181736468106633738763
skew: 20692.37
# norm 1.34e+15
c5: 27600
c4: 3288080556
c3: -66558113477159
c2: -1080970303183105211
c1: 9820381395717295647051
c0: 99797268987273415522565403
# alpha -6.18
Y1: 172874243003
Y0: -326837632365735623162
# Murphy_E 1.34e-09
# M 29593209732172111755289090560667936426206250818983003423088700963706017810763694749058577282903162950489239
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2450001)
Primes: RFBsize:183072, AFBsize:183778, largePrimes:4450675 encountered
Relations: rels:4527310, finalFF:452352
Max relations in full relation-set: 28
Initial matrix: 366925 x 452352 with sparse part having weight 32939034.
Pruned matrix : 301955 x 303853 with weight 19313258.
Polynomial selection time: 1.24 hours.
Total sieving time: 17.66 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 2.44 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 21.84 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--
351e6118 / 904Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)

44×10167-539

c162

name 名前Ignacio Santos
date 日付March 3, 2009 07:23:53 UTC 2009 年 3 月 3 日 (火) 16 時 23 分 53 秒 (日本時間)
composite number 合成数
530373080094652308503073813347489472998405144040288103478680870539908946996081386713455215477925812136792378345976101630089607737275355359004113645932815954393701<162>
prime factors 素因数
240176965948327227964428493955389903582874479604862156178867<60>
2208259555617665688706709242812968313599814381853752897676508469902040009732755649720367881553125991303<103>
factorization results 素因数分解の結果
Number: 48883_167
N=530373080094652308503073813347489472998405144040288103478680870539908946996081386713455215477925812136792378345976101630089607737275355359004113645932815954393701
  ( 162 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=240176965948327227964428493955389903582874479604862156178867 (pp60)
 r2=2208259555617665688706709242812968313599814381853752897676508469902040009732755649720367881553125991303 (pp103)
Version: Msieve-1.39
Total time: 59.50 hours.
Scaled time: 152.96 units (timescale=2.571).
Factorization parameters were as follows:
n: 530373080094652308503073813347489472998405144040288103478680870539908946996081386713455215477925812136792378345976101630089607737275355359004113645932815954393701
m: 2000000000000000000000000000000000
deg: 5
c5: 275
c0: -106
skew: 0.83
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2300000, 5300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 954960 x 955207
Total sieving time: 59.50 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,168,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 59.50 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)

44×10169-539

c142

name 名前Jo Yeong Uk
date 日付August 28, 2009 23:59:41 UTC 2009 年 8 月 29 日 (土) 8 時 59 分 41 秒 (日本時間)
composite number 合成数
1885918487279731334844061215429615053174211390022725930251012918160514773580971772193004553379869884756817593843749606903596980083631836398459<142>
prime factors 素因数
489641797116893462699294028241035350517514338379<48>
3851628881325874837178721243483272939017889163594114474066555739511475683749623855910191557521<94>
factorization results 素因数分解の結果
Number: 48883_169
N=1885918487279731334844061215429615053174211390022725930251012918160514773580971772193004553379869884756817593843749606903596980083631836398459
  ( 142 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=489641797116893462699294028241035350517514338379
 r2=3851628881325874837178721243483272939017889163594114474066555739511475683749623855910191557521
Version: 
Total time: 33.52 hours.
Scaled time: 78.24 units (timescale=2.334).
Factorization parameters were as follows:
n: 1885918487279731334844061215429615053174211390022725930251012918160514773580971772193004553379869884756817593843749606903596980083631836398459
m: 10000000000000000000000000000000000
deg: 5
c5: 22
c0: -265
skew: 1.64
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [3000000, 5500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11061459
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 921196 x 921444
Total sieving time: 30.41 hours.
Total relation processing time: 0.79 hours.
Matrix solve time: 1.88 hours.
Time per square root: 0.45 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,52,52,2.4,2.4,100000
total time: 33.52 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.. 5347.61 BogoMIPS (lpj=2673805)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672349)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672340)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
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
351e6904118Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)
786Jo Yeong UkJuly 22, 2009 15:49:10 UTC 2009 年 7 月 23 日 (木) 0 時 49 分 10 秒 (日本時間)

44×10170-539

c155

name 名前Ignacio Santos
date 日付May 5, 2009 16:21:43 UTC 2009 年 5 月 6 日 (水) 1 時 21 分 43 秒 (日本時間)
composite number 合成数
52946576002580636960528842851208189219741647489968588151776737420461266890367768097054339727229323615058818228881279646734337015730796232832869667532043381<155>
prime factors 素因数
2292642669168448055304163075564111519<37>
309383401453904318103572359005677794938603540643389041<54>
74645649139320830256619174883931685521648798111908759101775184539<65>
factorization results 素因数分解の結果
Number: 48883_170
N=52946576002580636960528842851208189219741647489968588151776737420461266890367768097054339727229323615058818228881279646734337015730796232832869667532043381
  ( 155 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=2292642669168448055304163075564111519 (pp37)
 r2=309383401453904318103572359005677794938603540643389041 (pp54)
 r3=74645649139320830256619174883931685521648798111908759101775184539 (pp65)
Version: Msieve-1.40
Total time: 56.02 hours.
Scaled time: 97.42 units (timescale=1.739).
Factorization parameters were as follows:
n: 52946576002580636960528842851208189219741647489968588151776737420461266890367768097054339727229323615058818228881279646734337015730796232832869667532043381
m: 10000000000000000000000000000000000
deg: 5
c5: 44
c0: -53
skew: 1.04
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 5450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 948199 x 948447
Total sieving time: 54.23 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.15 hours.
Time per square root: 0.47 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 56.02 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)

44×10171-539

c172

name 名前Ignacio Santos
date 日付February 27, 2009 07:04:10 UTC 2009 年 2 月 27 日 (金) 16 時 4 分 10 秒 (日本時間)
composite number 合成数
4888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<172>
prime factors 素因数
75059015380479339613706194125465158146139625871231697571901<59>
65133933133905008261265014533189153316103348018734416649842781849800236873376647775219658789236125956277334331183<113>
factorization results 素因数分解の結果
Number: 48883_171
N=4888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883
  ( 172 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=75059015380479339613706194125465158146139625871231697571901 (pp59)
 r2=65133933133905008261265014533189153316103348018734416649842781849800236873376647775219658789236125956277334331183 (pp113)
Version: Msieve-1.39
Total time: 84.05 hours.
Scaled time: 146.16 units (timescale=1.739).
Factorization parameters were as follows:
n: 4888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883
m: 20000000000000000000000000000000000
deg: 5
c5: 55
c0: -212
skew: 1.31
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2700000, 7100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1078148 x 1078396
Total sieving time: 84.05 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: 84.05 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--
351e6118 / 904Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)

44×10174-539

c154

name 名前Ignacio Santos
date 日付May 12, 2010 15:51:21 UTC 2010 年 5 月 13 日 (木) 0 時 51 分 21 秒 (日本時間)
composite number 合成数
4120196318215502492045729973979201797354695244352477644779531666992825446451085293391156602887675116080907781955694267416539581971019461052333145856805771<154>
prime factors 素因数
8274132125637981019642431638358582031<37>
497961146335672362998939131480651464836116764555333720012606499722473170434220748130283332761885239826833048747417541<117>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2501932875
Step 1 took 22729ms
Step 2 took 16505ms
********** Factor found in step 2: 8274132125637981019642431638358582031
Found probable prime factor of 37 digits: 8274132125637981019642431638358582031
Probable prime cofactor 497961146335672362998939131480651464836116764555333720012606499722473170434220748130283332761885239826833048747417541 has 117 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)

44×10176-539

c159

name 名前Serge Batalov
date 日付October 8, 2011 19:22:34 UTC 2011 年 10 月 9 日 (日) 4 時 22 分 34 秒 (日本時間)
composite number 合成数
736684667656573015982597552421435284907888653997225514461014244113521430001847759939106459507516271227963029114082946810420453252864173493929201548439880434461<159>
prime factors 素因数
1646738025169843406389668036832328251433<40>
composite cofactor 合成数の残り
447359966428534906395938509073824559318651275810550084420644423062032276044011783334643384853448110403046696203762229717<120>
factorization results 素因数分解の結果
Input number is 736684667656573015982597552421435284907888653997225514461014244113521430001847759939106459507516271227963029114082946810420453252864173493929201548439880434461 (159 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2145029454
Step 1 took 11497ms
Step 2 took 4820ms
********** Factor found in step 2: 1646738025169843406389668036832328251433
Found probable prime factor of 40 digits: 1646738025169843406389668036832328251433
Composite cofactor 447359966428... has 120 digits

c120

name 名前Dmitry Domanov
date 日付October 12, 2011 06:22:22 UTC 2011 年 10 月 12 日 (水) 15 時 22 分 22 秒 (日本時間)
composite number 合成数
447359966428534906395938509073824559318651275810550084420644423062032276044011783334643384853448110403046696203762229717<120>
prime factors 素因数
631146454455297945001048067446323766066036777214639296087<57>
708805322870145285625508691984841931169574013543424181830573491<63>
factorization results 素因数分解の結果
Wed Oct 12 07:30:06 2011  commencing relation filtering
Wed Oct 12 07:30:06 2011  estimated available RAM is 2006.1 MB
Wed Oct 12 07:30:06 2011  commencing duplicate removal, pass 1
Wed Oct 12 07:33:17 2011  found 1164595 hash collisions in 11817148 relations
Wed Oct 12 07:34:01 2011  added 1017 free relations
Wed Oct 12 07:34:01 2011  commencing duplicate removal, pass 2
Wed Oct 12 07:34:12 2011  found 817895 duplicates and 11000270 unique relations
Wed Oct 12 07:34:12 2011  memory use: 49.3 MB
Wed Oct 12 07:34:12 2011  reading ideals above 720000
Wed Oct 12 07:34:12 2011  commencing singleton removal, initial pass
Wed Oct 12 07:37:55 2011  memory use: 344.5 MB
Wed Oct 12 07:37:55 2011  reading all ideals from disk
Wed Oct 12 07:37:56 2011  memory use: 312.3 MB
Wed Oct 12 07:37:59 2011  commencing in-memory singleton removal
Wed Oct 12 07:38:02 2011  begin with 11000270 relations and 11279879 unique ideals
Wed Oct 12 07:38:34 2011  reduce to 5054285 relations and 4393578 ideals in 18 passes
Wed Oct 12 07:38:34 2011  max relations containing the same ideal: 94
Wed Oct 12 07:38:43 2011  removing 1367777 relations and 1104711 ideals in 263066 cliques
Wed Oct 12 07:38:43 2011  commencing in-memory singleton removal
Wed Oct 12 07:38:44 2011  begin with 3686508 relations and 4393578 unique ideals
Wed Oct 12 07:38:56 2011  reduce to 3454074 relations and 3041647 ideals in 11 passes
Wed Oct 12 07:38:56 2011  max relations containing the same ideal: 71
Wed Oct 12 07:39:02 2011  removing 1020326 relations and 757260 ideals in 263066 cliques
Wed Oct 12 07:39:02 2011  commencing in-memory singleton removal
Wed Oct 12 07:39:03 2011  begin with 2433748 relations and 3041647 unique ideals
Wed Oct 12 07:39:09 2011  reduce to 2226232 relations and 2060854 ideals in 9 passes
Wed Oct 12 07:39:09 2011  max relations containing the same ideal: 52
Wed Oct 12 07:39:12 2011  removing 196758 relations and 165956 ideals in 30802 cliques
Wed Oct 12 07:39:13 2011  commencing in-memory singleton removal
Wed Oct 12 07:39:13 2011  begin with 2029474 relations and 2060854 unique ideals
Wed Oct 12 07:39:17 2011  reduce to 2017116 relations and 1882378 ideals in 7 passes
Wed Oct 12 07:39:17 2011  max relations containing the same ideal: 50
Wed Oct 12 07:39:21 2011  relations with 0 large ideals: 494
Wed Oct 12 07:39:21 2011  relations with 1 large ideals: 4004
Wed Oct 12 07:39:21 2011  relations with 2 large ideals: 44930
Wed Oct 12 07:39:21 2011  relations with 3 large ideals: 204062
Wed Oct 12 07:39:21 2011  relations with 4 large ideals: 468229
Wed Oct 12 07:39:21 2011  relations with 5 large ideals: 599021
Wed Oct 12 07:39:21 2011  relations with 6 large ideals: 448585
Wed Oct 12 07:39:21 2011  relations with 7+ large ideals: 247791
Wed Oct 12 07:39:21 2011  commencing 2-way merge
Wed Oct 12 07:39:25 2011  reduce to 1235948 relation sets and 1101210 unique ideals
Wed Oct 12 07:39:25 2011  commencing full merge
Wed Oct 12 07:40:06 2011  memory use: 124.4 MB
Wed Oct 12 07:40:07 2011  found 611206 cycles, need 593410
Wed Oct 12 07:40:07 2011  weight of 593410 cycles is about 41856047 (70.53/cycle)
Wed Oct 12 07:40:07 2011  distribution of cycle lengths:
Wed Oct 12 07:40:07 2011  1 relations: 66490
Wed Oct 12 07:40:07 2011  2 relations: 62048
Wed Oct 12 07:40:07 2011  3 relations: 64128
Wed Oct 12 07:40:07 2011  4 relations: 61191
Wed Oct 12 07:40:07 2011  5 relations: 56695
Wed Oct 12 07:40:07 2011  6 relations: 51878
Wed Oct 12 07:40:07 2011  7 relations: 44951
Wed Oct 12 07:40:07 2011  8 relations: 39383
Wed Oct 12 07:40:07 2011  9 relations: 32777
Wed Oct 12 07:40:07 2011  10+ relations: 113869
Wed Oct 12 07:40:07 2011  heaviest cycle: 19 relations
Wed Oct 12 07:40:07 2011  commencing cycle optimization
Wed Oct 12 07:40:10 2011  start with 3549335 relations
Wed Oct 12 07:40:23 2011  pruned 93690 relations
Wed Oct 12 07:40:23 2011  memory use: 116.1 MB
Wed Oct 12 07:40:23 2011  distribution of cycle lengths:
Wed Oct 12 07:40:23 2011  1 relations: 66490
Wed Oct 12 07:40:23 2011  2 relations: 63494
Wed Oct 12 07:40:23 2011  3 relations: 66443
Wed Oct 12 07:40:23 2011  4 relations: 62830
Wed Oct 12 07:40:23 2011  5 relations: 58350
Wed Oct 12 07:40:23 2011  6 relations: 53035
Wed Oct 12 07:40:23 2011  7 relations: 45824
Wed Oct 12 07:40:23 2011  8 relations: 39500
Wed Oct 12 07:40:23 2011  9 relations: 32856
Wed Oct 12 07:40:23 2011  10+ relations: 104588
Wed Oct 12 07:40:23 2011  heaviest cycle: 19 relations
Wed Oct 12 07:40:26 2011  RelProcTime: 620
Wed Oct 12 07:40:26 2011
Wed Oct 12 07:40:26 2011  commencing linear algebra
Wed Oct 12 07:40:26 2011  read 593410 cycles
Wed Oct 12 07:40:28 2011  cycles contain 1923428 unique relations
Wed Oct 12 07:41:04 2011  read 1923428 relations
Wed Oct 12 07:41:09 2011  using 20 quadratic characters above 134213334
Wed Oct 12 07:41:39 2011  building initial matrix
Wed Oct 12 07:42:28 2011  memory use: 246.9 MB
Wed Oct 12 07:42:30 2011  read 593410 cycles
Wed Oct 12 07:42:30 2011  matrix is 593226 x 593410 (179.7 MB) with weight 57520682 (96.93/col)
Wed Oct 12 07:42:30 2011  sparse part has weight 39978664 (67.37/col)
Wed Oct 12 07:42:51 2011  filtering completed in 2 passes
Wed Oct 12 07:42:52 2011  matrix is 592221 x 592405 (179.6 MB) with weight 57470876 (97.01/col)
Wed Oct 12 07:42:52 2011  sparse part has weight 39959815 (67.45/col)
Wed Oct 12 07:42:56 2011  matrix starts at (0, 0)
Wed Oct 12 07:42:56 2011  matrix is 592221 x 592405 (179.6 MB) with weight 57470876 (97.01/col)
Wed Oct 12 07:42:56 2011  sparse part has weight 39959815 (67.45/col)
Wed Oct 12 07:42:56 2011  saving the first 48 matrix rows for later
Wed Oct 12 07:42:56 2011  matrix includes 64 packed rows
Wed Oct 12 07:42:56 2011  matrix is 592173 x 592405 (173.5 MB) with weight 45738314 (77.21/col)
Wed Oct 12 07:42:56 2011  sparse part has weight 39548082 (66.76/col)
Wed Oct 12 07:42:56 2011  using block size 65536 for processor cache size 2048 kB
Wed Oct 12 07:43:01 2011  commencing Lanczos iteration (8 threads)
Wed Oct 12 07:43:01 2011  memory use: 164.9 MB
Wed Oct 12 07:43:16 2011  linear algebra at 0.5%, ETA 0h45m
Wed Oct 12 08:27:43 2011  lanczos halted after 9366 iterations (dim = 592172)
Wed Oct 12 08:27:45 2011  recovered 29 nontrivial dependencies
Wed Oct 12 08:27:45 2011  BLanczosTime: 2839
Wed Oct 12 08:27:45 2011
Wed Oct 12 08:27:45 2011  commencing square root phase
Wed Oct 12 08:27:45 2011  reading relations for dependency 1
Wed Oct 12 08:27:45 2011  read 296147 cycles
Wed Oct 12 08:27:46 2011  cycles contain 959930 unique relations
Wed Oct 12 08:28:06 2011  read 959930 relations
Wed Oct 12 08:28:16 2011  multiplying 959930 relations
Wed Oct 12 08:30:19 2011  multiply complete, coefficients have about 40.86 million bits
Wed Oct 12 08:30:20 2011  initial square root is modulo 735491
Wed Oct 12 08:32:52 2011  sqrtTime: 307

prp57 = 631146454455297945001048067446323766066036777214639296087
prp63 = 708805322870145285625508691984841931169574013543424181830573491
NFS elapsed time = 45462.8101 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 8, 2011 07:08:09 UTC 2011 年 5 月 8 日 (日) 16 時 8 分 9 秒 (日本時間)

44×10177-539

c170

name 名前matsui
date 日付August 28, 2010 12:56:22 UTC 2010 年 8 月 28 日 (土) 21 時 56 分 22 秒 (日本時間)
composite number 合成数
32830720153135849851160699033752882105393552404267543242119377917037932678980220736436643277367707533086861327930596609718223412526842872469569725931588081051488038624423<170>
prime factors 素因数
1120886185472502001745151703357521756546592160242547383371669935652279998112137<79>
29289967686858663074760949091003398222965290677896735780680947302188023023471760375590088879<92>
factorization results 素因数分解の結果
N=32830720153135849851160699033752882105393552404267543242119377917037932678980220736436643277367707533086861327930596609718223412526842872469569725931588081051488038624423
  ( 170 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=1120886185472502001745151703357521756546592160242547383371669935652279998112137 (pp79)
 r2=29289967686858663074760949091003398222965290677896735780680947302188023023471760375590088879 (pp92)
Version: Msieve v. 1.47
Total time:
Scaled time: 11.45 units (timescale=1.885).
Factorization parameters were as follows:
n: 32830720153135849851160699033752882105393552404267543242119377917037932678980220736436643277367707533086861327930596609718223412526842872469569725931588081051488038624423
m: 100000000000000000000000000000000000
deg: 5
c5: 4400
c0: -53
skew: 0.41
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3300000, 9200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1560991 x 1561239
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,178.000,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)

44×10179-539

c174

name 名前Wataru Sakai
date 日付June 28, 2010 11:12:29 UTC 2010 年 6 月 28 日 (月) 20 時 12 分 29 秒 (日本時間)
composite number 合成数
255374605235841059721034585208668040930280933540442138179600432767092381937563114527791170434631907396989284307445255084697019215371972555819810232291642906671435207022615917<174>
prime factors 素因数
2243624887279444668820667858985640296967<40>
113822326844261831051636941861630872675671228992810312842270222656505481319312290957790096081428671498059445557567204011295878387791851<135>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1181267836
Step 1 took 17561ms
Step 2 took 6913ms
********** Factor found in step 2: 2243624887279444668820667858985640296967
Found probable prime factor of 40 digits: 2243624887279444668820667858985640296967
Probable prime cofactor 113822326844261831051636941861630872675671228992810312842270222656505481319312290957790096081428671498059445557567204011295878387791851 has 135 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 19, 2010 12:33:50 UTC 2010 年 6 月 19 日 (土) 21 時 33 分 50 秒 (日本時間)
403e6110 / 2126Ignacio SantosJune 19, 2010 12:33:50 UTC 2010 年 6 月 19 日 (土) 21 時 33 分 50 秒 (日本時間)
4511e632 / 4437Ignacio SantosJune 19, 2010 12:33:50 UTC 2010 年 6 月 19 日 (土) 21 時 33 分 50 秒 (日本時間)

44×10180-539

c133

name 名前Robert Backstrom
date 日付April 20, 2012 09:47:27 UTC 2012 年 4 月 20 日 (金) 18 時 47 分 27 秒 (日本時間)
composite number 合成数
1252747876927273663343656093020337622715980894042605754365567664566086626537131010787406141286841934415354821280977389120750605494121<133>
prime factors 素因数
454791431804520819202376496434291939610407<42>
2754554702045775919458848258225423598001020658695274456207504314361318996282302528688254703<91>
factorization results 素因数分解の結果
Number: n
N=1252747876927273663343656093020337622715980894042605754365567664566086626537131010787406141286841934415354821280977389120750605494121
  ( 133 digits)
Divisors found:

Fri Apr 20 19:34:08 2012  prp42 factor: 454791431804520819202376496434291939610407
Fri Apr 20 19:34:08 2012  prp91 factor: 2754554702045775919458848258225423598001020658695274456207504314361318996282302528688254703
Fri Apr 20 19:34:08 2012  elapsed time 01:57:02 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.293).
Factorization parameters were as follows:
name: KA_48883_180
n: 1252747876927273663343656093020337622715980894042605754365567664566086626537131010787406141286841934415354821280977389120750605494121
skew: 466130.70
# norm 1.14e+19
c5: 13440
c4: 5446843020
c3: -108395935074264662
c2: -915425896729491594769
c1: 1359125296031683108122154208
c0: 4895503544560437840126550109131
# alpha -6.36
Y1: 649336435421531
Y0: -39254757539297078431678524
# Murphy_E 5.03e-11
# M 449574590986688221836257553045915408643720562894248982427583379212112476315325479753894121571172395406796616064531530886319789648491
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, 27600000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 3482301 hash collisions in 14594475 relations
Msieve: matrix is 1182933 x 1183158 (343.0 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,132,5,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) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)
403e61070300Dmitry DomanovMay 8, 2011 07:09:03 UTC 2011 年 5 月 8 日 (日) 16 時 9 分 3 秒 (日本時間)
770Ignacio SantosJuly 10, 2011 08:50:11 UTC 2011 年 7 月 10 日 (日) 17 時 50 分 11 秒 (日本時間)
4511e6220 / 4025Ignacio SantosJuly 10, 2011 08:50:11 UTC 2011 年 7 月 10 日 (日) 17 時 50 分 11 秒 (日本時間)
5043e661 / 7463Ignacio SantosJuly 10, 2011 08:50:11 UTC 2011 年 7 月 10 日 (日) 17 時 50 分 11 秒 (日本時間)

44×10181-539

c174

name 名前Robert Backstrom
date 日付January 19, 2012 11:41:13 UTC 2012 年 1 月 19 日 (木) 20 時 41 分 13 秒 (日本時間)
composite number 合成数
164367727914335849634023654667022730498639204623697956327093486479646577916035542687714182846664380333985159334225873256815292198715802936053878931325696295418846575446933419<174>
prime factors 素因数
75136561911297362615670255660147492574552848557375430721<56>
2187586492290937413486719444905461791044107233512907002040688197991671022637988608310033892768255015869817622481839339<118>
factorization results 素因数分解の結果
Number: n
N=164367727914335849634023654667022730498639204623697956327093486479646577916035542687714182846664380333985159334225873256815292198715802936053878931325696295418846575446933419
  ( 174 digits)
SNFS difficulty: 182 digits.
Divisors found:

Thu Jan 19 22:15:49 2012  prp56 factor: 75136561911297362615670255660147492574552848557375430721
Thu Jan 19 22:15:49 2012  prp118 factor: 2187586492290937413486719444905461791044107233512907002040688197991671022637988608310033892768255015869817622481839339
Thu Jan 19 22:15:49 2012  elapsed time 02:22:45 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.659).
Factorization parameters were as follows:
name: KA_48883_181
n: 164367727914335849634023654667022730498639204623697956327093486479646577916035542687714182846664380333985159334225873256815292198715802936053878931325696295418846575446933419
m: 1000000000000000000000000000000000000
deg: 5
c5: 440
c0: -53
skew: 0.65
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 6421560 hash collisions in 76000093 relations
Msieve: matrix is 1110096 x 1110332 (309.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 8, 2011 07:09:11 UTC 2011 年 5 月 8 日 (日) 16 時 9 分 11 秒 (日本時間)

44×10182-539

c167

name 名前Robert Backstrom
date 日付January 23, 2012 01:01:42 UTC 2012 年 1 月 23 日 (月) 10 時 1 分 42 秒 (日本時間)
composite number 合成数
85988713119497862045620535672181980063666065134648889925148837778150384093793783712886712664122370005157538558412475747216942994598688633379831163242600774304662420131<167>
prime factors 素因数
589686159402410994428222555154135842501780156403860701269031<60>
145821148671081202365858929875238980696883296255099646054295477486284086346133713761870008301935995022008101<108>
factorization results 素因数分解の結果
Number: n
N=85988713119497862045620535672181980063666065134648889925148837778150384093793783712886712664122370005157538558412475747216942994598688633379831163242600774304662420131
  ( 167 digits)
SNFS difficulty: 183 digits.
Divisors found:

Mon Jan 23 11:51:19 2012  prp60 factor: 589686159402410994428222555154135842501780156403860701269031
Mon Jan 23 11:51:19 2012  prp108 factor: 145821148671081202365858929875238980696883296255099646054295477486284086346133713761870008301935995022008101
Mon Jan 23 11:51:19 2012  elapsed time 02:31:28 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.623).
Factorization parameters were as follows:
name: KA_48883_182
n: 85988713119497862045620535672181980063666065134648889925148837778150384093793783712886712664122370005157538558412475747216942994598688633379831163242600774304662420131
m: 1000000000000000000000000000000000000
deg: 5
c5: 4400
c0: -53
skew: 0.41
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 6532427 hash collisions in 76000092 relations
Msieve: matrix is 1123271 x 1123506 (315.7 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 8, 2011 07:09:25 UTC 2011 年 5 月 8 日 (日) 16 時 9 分 25 秒 (日本時間)

44×10183-539

c175

name 名前Robert Backstrom
date 日付January 23, 2012 12:36:20 UTC 2012 年 1 月 23 日 (月) 21 時 36 分 20 秒 (日本時間)
composite number 合成数
4771189358527673345090500319339661684702319261386636447532099685569219861267591347649225628750687053842985877348789439907334515471619066057277913328731341193071229757044617361<175>
prime factors 素因数
767742939148627762079368459706683733832808849470502181966933159177364459441832460081<84>
6214566250285001020395797094371266219688163848721614504375468445551084260673527950862806881<91>
factorization results 素因数分解の結果
Number: n
N=4771189358527673345090500319339661684702319261386636447532099685569219861267591347649225628750687053842985877348789439907334515471619066057277913328731341193071229757044617361
  ( 175 digits)
SNFS difficulty: 184 digits.
Divisors found:

Mon Jan 23 21:45:02 2012  prp84 factor: 767742939148627762079368459706683733832808849470502181966933159177364459441832460081
Mon Jan 23 21:45:02 2012  prp91 factor: 6214566250285001020395797094371266219688163848721614504375468445551084260673527950862806881
Mon Jan 23 21:45:02 2012  elapsed time 02:25:42 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.073).
Factorization parameters were as follows:
name: KA_48883_183
n: 4771189358527673345090500319339661684702319261386636447532099685569219861267591347649225628750687053842985877348789439907334515471619066057277913328731341193071229757044617361
m: 2000000000000000000000000000000000000
deg: 5
c5: 1375
c0: -53
skew: 0.52
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 6634630 hash collisions in 76000093 relations
Msieve: matrix is 1133875 x 1134109 (318.0 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,184,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 8, 2011 07:09:34 UTC 2011 年 5 月 8 日 (日) 16 時 9 分 34 秒 (日本時間)

44×10184-539

c166

name 名前Dmitry Domanov
date 日付May 8, 2011 06:04:50 UTC 2011 年 5 月 8 日 (日) 15 時 4 分 50 秒 (日本時間)
composite number 合成数
3257780547485647306159019001698790748121392105136099396246046655578228176676266199500131211318916253361160798008824095727455646326714056807656731275653973648550802039<166>
prime factors 素因数
3275059886726181835948298329609<31>
composite cofactor 合成数の残り
994723962358499857034906620862728673988094292020798804741202761600110750319416879898539770636399696812517190866205397904655376811142271<135>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2168286000
Step 1 took 60065ms
Step 2 took 23736ms
********** Factor found in step 2: 3275059886726181835948298329609
Found probable prime factor of 31 digits: 3275059886726181835948298329609
Composite cofactor 994723962358499857034906620862728673988094292020798804741202761600110750319416879898539770636399696812517190866205397904655376811142271 has 135 digits

c135

name 名前Robert Backstrom
date 日付June 2, 2012 08:58:55 UTC 2012 年 6 月 2 日 (土) 17 時 58 分 55 秒 (日本時間)
composite number 合成数
994723962358499857034906620862728673988094292020798804741202761600110750319416879898539770636399696812517190866205397904655376811142271<135>
prime factors 素因数
6256510145996362082958480243266946263409527401215790499<55>
158990226043993416116113998030010609409970962586871491961011726622634241325882229<81>
factorization results 素因数分解の結果
Number: n
N=994723962358499857034906620862728673988094292020798804741202761600110750319416879898539770636399696812517190866205397904655376811142271
  ( 135 digits)
Divisors found:

Sat Jun  2 18:53:05 2012  prp55 factor: 6256510145996362082958480243266946263409527401215790499
Sat Jun  2 18:53:05 2012  prp81 factor: 158990226043993416116113998030010609409970962586871491961011726622634241325882229
Sat Jun  2 18:53:05 2012  elapsed time 03:32:24 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.295).
Factorization parameters were as follows:
name: KA_48883_184
n: 994723962358499857034906620862728673988094292020798804741202761600110750319416879898539770636399696812517190866205397904655376811142271
skew: 148368.24
# norm 3.55e+18
c5: 251940
c4: -435850147475
c3: 20569249426545260
c2: 6524594676440782604842
c1: 174048437903217634073646246
c0: 3419870484660606919434773537487
# alpha -6.16
Y1: 301619758756393
Y0: -83038909419543176184863716
# Murphy_E 4.01e-11
# M 687144569722842117712525198400289552564507679073123009029318925216852353368165009851311917926428598151973599694994076355702997401437402
type: gnfs
rlim: 20000000
alim: 20000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 14320000)
Primes: RFBsize:1270607, AFBsize:1269127,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 2283465 hash collisions in 25397797 relations (24106434 unique)
Msieve: matrix is 1572519 x 1572747 (454.2 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,20000000,20000000,28,28,56,56,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)
403e61070300Dmitry DomanovMay 8, 2011 06:04:41 UTC 2011 年 5 月 8 日 (日) 15 時 4 分 41 秒 (日本時間)
770Ignacio SantosJuly 18, 2011 06:53:02 UTC 2011 年 7 月 18 日 (月) 15 時 53 分 2 秒 (日本時間)
4511e6220 / 4025Ignacio SantosJuly 18, 2011 06:53:02 UTC 2011 年 7 月 18 日 (月) 15 時 53 分 2 秒 (日本時間)
5043e661 / 7463Ignacio SantosJuly 18, 2011 06:53:02 UTC 2011 年 7 月 18 日 (月) 15 時 53 分 2 秒 (日本時間)

44×10185-539

c139

name 名前Jo Yeong Uk
date 日付November 15, 2014 06:10:25 UTC 2014 年 11 月 15 日 (土) 15 時 10 分 25 秒 (日本時間)
composite number 合成数
1935215393510587228105136892621526506332949071084492603905336542246680105603602769767575919116240859855568496235333038527155216639920690971<139>
prime factors 素因数
86863572238613514718554790150891876403326983275520481687037<59>
22278791254342689743698633048225321479009052102901407004956325052893536636993783<80>
factorization results 素因数分解の結果
Number: 48883_185
N=1935215393510587228105136892621526506332949071084492603905336542246680105603602769767575919116240859855568496235333038527155216639920690971
  ( 139 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=86863572238613514718554790150891876403326983275520481687037
 r2=22278791254342689743698633048225321479009052102901407004956325052893536636993783
Version: 
Total time: 78.21 hours.
Scaled time: 400.82 units (timescale=5.125).
Factorization parameters were as follows:
n: 1935215393510587228105136892621526506332949071084492603905336542246680105603602769767575919116240859855568496235333038527155216639920690971
m: 10000000000000000000000000000000000000
deg: 5
c5: 44
c0: -53
skew: 1.04
# Murphy_E = 5.662e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 7700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20471330
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1682285 x 1682533
Total sieving time: 72.58 hours.
Total relation processing time: 1.88 hours.
Matrix solve time: 3.64 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 78.21 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)
403e61800300Dmitry DomanovMay 8, 2011 07:09:45 UTC 2011 年 5 月 8 日 (日) 16 時 9 分 45 秒 (日本時間)
1500Dmitry DomanovSeptember 23, 2013 15:26:21 UTC 2013 年 9 月 24 日 (火) 0 時 26 分 21 秒 (日本時間)
4511e6800 / 4077500Dmitry DomanovSeptember 23, 2013 15:26:21 UTC 2013 年 9 月 24 日 (火) 0 時 26 分 21 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:34 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 34 秒 (日本時間)

44×10188-539

c149

name 名前Serge Batalov
date 日付May 27, 2014 02:02:38 UTC 2014 年 5 月 27 日 (火) 11 時 2 分 38 秒 (日本時間)
composite number 合成数
12614755649164782466540222910737758806084638766402918107791130147423050315030368871682696888882424720052402360964175401006330011604757129026872400489<149>
prime factors 素因数
701369152041563796496762336543809445054711<42>
17985900310051304004659440594685576140243299518731610155117273367341715876545295331735286665230320310583199<107>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2943128529
Step 1 took 37492ms
Step 2 took 23846ms
********** Factor found in step 2: 701369152041563796496762336543809445054711
Found probable prime factor of 42 digits: 701369152041563796496762336543809445054711
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)
403e61800300Dmitry DomanovMay 8, 2011 07:09:54 UTC 2011 年 5 月 8 日 (日) 16 時 9 分 54 秒 (日本時間)
1500Dmitry DomanovSeptember 23, 2013 15:26:34 UTC 2013 年 9 月 24 日 (火) 0 時 26 分 34 秒 (日本時間)
4511e6800 / 4077500Dmitry DomanovSeptember 23, 2013 15:26:34 UTC 2013 年 9 月 24 日 (火) 0 時 26 分 34 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:34 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 34 秒 (日本時間)

44×10189-539

c161

composite cofactor 合成数の残り
45638138437973013492596078843766259837926190459949953214590130368814540302751735217948318552226546998130335694062331080219532516545520457732377405364949260184463<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)
403e61800300Dmitry DomanovMay 8, 2011 07:10:02 UTC 2011 年 5 月 8 日 (日) 16 時 10 分 2 秒 (日本時間)
1500Dmitry DomanovSeptember 23, 2013 15:26:49 UTC 2013 年 9 月 24 日 (火) 0 時 26 分 49 秒 (日本時間)
4511e6800 / 4077500Dmitry DomanovSeptember 23, 2013 15:26:49 UTC 2013 年 9 月 24 日 (火) 0 時 26 分 49 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:34 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 34 秒 (日本時間)

44×10191-539

c147

name 名前Dmitry Domanov
date 日付September 13, 2013 10:52:37 UTC 2013 年 9 月 13 日 (金) 19 時 52 分 37 秒 (日本時間)
composite number 合成数
123434981228747908253162766155477493613658455895874435021964317473180777994798537677042728620665733462795724723818234767673552363009349165019288243<147>
prime factors 素因数
273700621133308278581682108925097014631<39>
450985389502012939580286926664935138255294045223274690961899698742452796546026481166150404231335819913968853<108>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2166101701
Step 1 took 16545ms
Step 2 took 7246ms
********** Factor found in step 2: 273700621133308278581682108925097014631
Found probable prime factor of 39 digits: 273700621133308278581682108925097014631

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 8, 2011 07:10:11 UTC 2011 年 5 月 8 日 (日) 16 時 10 分 11 秒 (日本時間)

44×10192-539

c153

name 名前Serge Batalov
date 日付February 26, 2009 05:30:43 UTC 2009 年 2 月 26 日 (木) 14 時 30 分 43 秒 (日本時間)
composite number 合成数
280557019713505127480670944147422041481581838892429260444233294166044323391905804404224917351658902213738258540235945533384619537759796796541913189111723<153>
prime factors 素因数
133396886663428373837032220609<30>
2103175169457846601552806103544676440988572210079484013420789074998367704348399128910180822984955341604439165177509040355947<124>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2020511789
Step 1 took 29469ms
********** Factor found in step 1: 133396886663428373837032220609
Found probable prime factor of 30 digits: 133396886663428373837032220609
Probable prime cofactor has 124 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--
351e6118 / 904Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)

44×10193-539

c170

name 名前Dmitry Domanov
date 日付May 8, 2011 17:07:45 UTC 2011 年 5 月 9 日 (月) 2 時 7 分 45 秒 (日本時間)
composite number 合成数
26365957171692653677891863266750582500467251933881068942290970261301357414086232063980316415461143186148755788604731146942170602486527181827830254446238908514516170333427<170>
prime factors 素因数
34330066450436359483269390009045707261<38>
768013578119873510172002593518708248309668009214948098411651751030293918325474796850889763349757958812191973867470419649033858866607<132>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=941849903
Step 1 took 59994ms
Step 2 took 23799ms
********** Factor found in step 2: 34330066450436359483269390009045707261
Found probable prime factor of 38 digits: 34330066450436359483269390009045707261
Probable prime cofactor 768013578119873510172002593518708248309668009214948098411651751030293918325474796850889763349757958812191973867470419649033858866607 has 132 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 8, 2011 07:10:20 UTC 2011 年 5 月 8 日 (日) 16 時 10 分 20 秒 (日本時間)

44×10194-539

c160

name 名前Dmitry Domanov
date 日付September 25, 2013 05:06:46 UTC 2013 年 9 月 25 日 (水) 14 時 6 分 46 秒 (日本時間)
composite number 合成数
2999618436769525879831050046844921224757744884879879914734340227495960929288084162049692996403336912963962869728091494338846486973944129124859527449076296470877<160>
prime factors 素因数
3663981044280663026294995781937850940184757<43>
154398147450023912606937706634207381717040884467979<51>
5302378319247958440584826915822320627139772894439527323268708713659<67>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1513909235
Step 1 took 86052ms
********** Factor found in step 1: 3663981044280663026294995781937850940184757
Found probable prime factor of 43 digits: 3663981044280663026294995781937850940184757
Composite cofactor 818677389571056254109471364355393674406858069159817201566020381887352954663974521382993574581217539875519269665425161 has 117 digits

N=818677389571056254109471364355393674406858069159817201566020381887352954663974521382993574581217539875519269665425161
  ( 117 digits)
Divisors found:
 r1=154398147450023912606937706634207381717040884467979 (pp51)
 r2=5302378319247958440584826915822320627139772894439527323268708713659 (pp67)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 44.21 hours.
Scaled time: 42.00 units (timescale=0.950).
Factorization parameters were as follows:
n: 818677389571056254109471364355393674406858069159817201566020381887352954663974521382993574581217539875519269665425161
skew: 131220.99
c0: -9681674555355251505454030660
c1: -170387925754970620050584
c2: 715829614077474265
c3: -141639467360734
c4: 266905464
c5: 2352
Y0: -51089892991722458114769
Y1: 532275105347
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 200000
type: gnfs
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2350000, 3750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 552100 x 552329
Total sieving time: 43.24 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 0.44 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4700000,4700000,27,27,54,54,2.5,2.5,100000
total time: 44.21 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
351e6118Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)
403e61800300Dmitry DomanovMay 8, 2011 07:10:27 UTC 2011 年 5 月 8 日 (日) 16 時 10 分 27 秒 (日本時間)
1500Dmitry DomanovSeptember 23, 2013 15:27:07 UTC 2013 年 9 月 24 日 (火) 0 時 27 分 7 秒 (日本時間)
4511e6500 / 4077Dmitry DomanovSeptember 23, 2013 15:27:07 UTC 2013 年 9 月 24 日 (火) 0 時 27 分 7 秒 (日本時間)

44×10197-539

c170

composite cofactor 合成数の残り
12489260249166008399399306795453974474581262267807102247302158479567441120114210037701970997801488993981446313103758382867209127037606481604065550162906098668845318327877<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)
403e63400300Dmitry DomanovMay 8, 2011 07:10:35 UTC 2011 年 5 月 8 日 (日) 16 時 10 分 35 秒 (日本時間)
1500Dmitry DomanovSeptember 23, 2013 15:27:29 UTC 2013 年 9 月 24 日 (火) 0 時 27 分 29 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:36 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 36 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:29 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 29 秒 (日本時間)

44×10198-539

c193

name 名前Robert Backstrom
date 日付April 16, 2010 08:22:04 UTC 2010 年 4 月 16 日 (金) 17 時 22 分 4 秒 (日本時間)
composite number 合成数
1130294521100248210107982430188193780878072895108385868266691039926703482928070086069615815718014328384004822041935108404363995218134897414340822382256513302911456297920152758276986224818097721<193>
prime factors 素因数
62726900170484381870152945767500722785828123726554752769767<59>
399227036326560990356542066529754565124556756278336141268091<60>
45135457772454285943266266144361747537885951523900457051952173372945862893<74>
factorization results 素因数分解の結果
Number: n
N=1130294521100248210107982430188193780878072895108385868266691039926703482928070086069615815718014328384004822041935108404363995218134897414340822382256513302911456297920152758276986224818097721
  ( 193 digits)
SNFS difficulty: 199 digits.
Divisors found:

Thu Apr 15 16:37:20 2010  prp59 factor: 62726900170484381870152945767500722785828123726554752769767
Thu Apr 15 16:37:20 2010  prp60 factor: 399227036326560990356542066529754565124556756278336141268091
Thu Apr 15 16:37:20 2010  prp74 factor: 45135457772454285943266266144361747537885951523900457051952173372945862893
Thu Apr 15 16:37:20 2010  elapsed time 06:03:42 (Msieve 1.42 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.073).
Factorization parameters were as follows:
name: KA_4_8_197_3
n: 1130294521100248210107982430188193780878072895108385868266691039926703482928070086069615815718014328384004822041935108404363995218134897414340822382256513302911456297920152758276986224818097721
m: 2000000000000000000000000000000000000000
deg: 5
c5: 1375
c0: -53
skew: 0.52
type: snfs
lss: 1
rlim: 14900000
alim: 14900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 14900000/14900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 17050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4983184 hash collisions in 31847220 relations
Msieve: matrix is 2107607 x 2107832 (594.1 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,199,5,0,0,0,0,0,0,0,0,14900000,14900000,28,28,56,56,2.5,2.5,100000
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: 6060216k/7077888k available (3972k kernel code, 787972k absent, 229700k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.79 BogoMIPS (lpj=2798398)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44762.55 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)
403e62818500Erik BrangerDecember 19, 2009 09:51:20 UTC 2009 年 12 月 19 日 (土) 18 時 51 分 20 秒 (日本時間)
2318Wataru SakaiDecember 20, 2009 07:07:07 UTC 2009 年 12 月 20 日 (日) 16 時 7 分 7 秒 (日本時間)

44×10200-539

c156

name 名前Serge Batalov
date 日付February 25, 2009 23:48:14 UTC 2009 年 2 月 26 日 (木) 8 時 48 分 14 秒 (日本時間)
composite number 合成数
542859695943749109574464444309855577037826744054536135496637570350367659602247628332445388928914085542166648708800206597438030579281382926938298870398424287<156>
prime factors 素因数
7046882295480502467634870497200027<34>
composite cofactor 合成数の残り
77035442509364829592824984655079160994427570285601319384761126720874299891224577489225266938170642713438522459468169082381<122>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2540175551
Step 1 took 32875ms
********** Factor found in step 1: 7046882295480502467634870497200027
Found probable prime factor of 34 digits: 7046882295480502467634870497200027
Composite cofactor has 122 digits
software ソフトウェア
GMP-ECM 6.2.1

c122

name 名前Sinkiti Sibata
date 日付April 25, 2009 10:43:40 UTC 2009 年 4 月 25 日 (土) 19 時 43 分 40 秒 (日本時間)
composite number 合成数
77035442509364829592824984655079160994427570285601319384761126720874299891224577489225266938170642713438522459468169082381<122>
prime factors 素因数
17093319897861558819189989484935430767783<41>
4506757199284748937489169617028628948676844119512148373046760090531769332278731307<82>
factorization results 素因数分解の結果
Number: 48883_200
N=77035442509364829592824984655079160994427570285601319384761126720874299891224577489225266938170642713438522459468169082381
  ( 122 digits)
Divisors found:
 r1=17093319897861558819189989484935430767783 (pp41)
 r2=4506757199284748937489169617028628948676844119512148373046760090531769332278731307 (pp82)
Version: Msieve-1.40
Total time: 79.27 hours.
Scaled time: 154.97 units (timescale=1.955).
Factorization parameters were as follows:
name: 48883_200
# Murphy_E = 2.266954e-10, selected by Jeff Gilchrist
n: 77035442509364829592824984655079160994427570285601319384761126720874299891224577489225266938170642713438522459468169082381
Y0: -368091799120498919063005
Y1: 12847974784117
c0: 109359585716408333906284552008
c1: 3405141569669740082931020
c2: -37901142473314887746
c3: -844999055076687
c4: 3776565670
c5: 11400
skew: 118654.68
type: gnfs
# selected mechanically
rlim: 5900000
alim: 5900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [2950000, 5350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 810955 x 811203
Total sieving time: 79.27 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:
gnfs,121,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5900000,5900000,27,27,52,52,2.5,2.5,100000
total time: 79.27 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)
403e6500 / 2318Erik BrangerMarch 2, 2009 16:42:28 UTC 2009 年 3 月 3 日 (火) 1 時 42 分 28 秒 (日本時間)

44×10201-539

c153

name 名前Dmitry Domanov
date 日付September 16, 2013 12:51:25 UTC 2013 年 9 月 16 日 (月) 21 時 51 分 25 秒 (日本時間)
composite number 合成数
321602419069460169436773449383158314957789075819728975342322085587957607171079755417578049361899982728166595079470596285124413452437505598116826757125901<153>
prime factors 素因数
1381483755702466462301905576355879679814289<43>
16761060799658048517079058492511518316903451068589<50>
13889033415236593965310759889351899345802299006235827926400081<62>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3417113576
Step 1 took 16676ms
Step 2 took 7311ms
********** Factor found in step 2: 1381483755702466462301905576355879679814289
Found probable prime factor of 43 digits: 1381483755702466462301905576355879679814289
Composite cofactor 232794933521262822264808075341572302568543142888736064349851176152586447126182635661032444890026877223386155709 has 111 digits

N=232794933521262822264808075341572302568543142888736064349851176152586447126182635661032444890026877223386155709
  ( 111 digits)
Divisors found:
 r1=16761060799658048517079058492511518316903451068589 (pp50)
 r2=13889033415236593965310759889351899345802299006235827926400081 (pp62)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 25.01 hours.
Scaled time: 22.96 units (timescale=0.918).
Factorization parameters were as follows:
n: 232794933521262822264808075341572302568543142888736064349851176152586447126182635661032444890026877223386155709
skew: 49050.20
c0: -143090613609108177172013568
c1: -16030856939080364034032
c2: 130382394547694789
c3: 19730246599213
c4: -98932749
c5: 612
Y0: -3281289962831689999045
Y1: 44316894127
rlim: 3460000
alim: 3460000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 160000
Factor base limits: 3460000/3460000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1730000, 2530001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 323168 x 323394
Total sieving time: 24.52 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3460000,3460000,26,26,52,52,2.5,2.5,100000
total time: 25.01 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 8, 2011 07:10:43 UTC 2011 年 5 月 8 日 (日) 16 時 10 分 43 秒 (日本時間)

44×10203-539

c168

composite cofactor 合成数の残り
365586783851232250216476203857348142678211320388226480525690916671807147540214536161620956020888501258681556796672761697442662042641152135879268698213412230236485339561<168>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)
403e63400300Dmitry DomanovMay 8, 2011 07:10:51 UTC 2011 年 5 月 8 日 (日) 16 時 10 分 51 秒 (日本時間)
1500Dmitry DomanovSeptember 23, 2013 15:27:42 UTC 2013 年 9 月 24 日 (火) 0 時 27 分 42 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:37 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 37 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:30 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 30 秒 (日本時間)

44×10204-539

c202

name 名前Serge Batalov
date 日付February 26, 2009 05:29:44 UTC 2009 年 2 月 26 日 (木) 14 時 29 分 44 秒 (日本時間)
composite number 合成数
1203863306793619524473993816520287832772442474486306054885222577909108320337081725902213466852718268625680593176283892856165695367862321814550329694382883252619770718761115215190566089359489999726394703<202>
prime factors 素因数
75956254527312360496911296790966809<35>
composite cofactor 合成数の残り
15849429573449204111210382410071127103818486388678547282497647139185547003406911430474426852551951533584065408618982135342664560514133979604513938702039208944975046567<167>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=100595225
Step 1 took 63234ms
Step 2 took 31359ms
********** Factor found in step 2: 75956254527312360496911296790966809
Found probable prime factor of 35 digits: 75956254527312360496911296790966809
Composite cofactor has 167 digits
software ソフトウェア
GMP-ECM 6.2.1

c167

name 名前Dmitry Domanov
date 日付September 13, 2013 12:40:37 UTC 2013 年 9 月 13 日 (金) 21 時 40 分 37 秒 (日本時間)
composite number 合成数
15849429573449204111210382410071127103818486388678547282497647139185547003406911430474426852551951533584065408618982135342664560514133979604513938702039208944975046567<167>
prime factors 素因数
23279243489594562920196882190242457117<38>
composite cofactor 合成数の残り
680839546204911562984737767986866470902126800678641853154938806472369417754905491525683844631102624845307946016729548686870120851<129>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3295045934
Step 1 took 19413ms
Step 2 took 8243ms
********** Factor found in step 2: 23279243489594562920196882190242457117
Found probable prime factor of 38 digits: 23279243489594562920196882190242457117

c129

name 名前Tapio Rajala
date 日付September 21, 2013 14:04:05 UTC 2013 年 9 月 21 日 (土) 23 時 4 分 5 秒 (日本時間)
composite number 合成数
680839546204911562984737767986866470902126800678641853154938806472369417754905491525683844631102624845307946016729548686870120851<129>
prime factors 素因数
1315192437797196989050302833092211797<37>
997281895058177292615503390623810547889121<42>
519083872243054470294679990523875346261535141488423<51>
factorization results 素因数分解の結果
Resuming ECM residue saved by *** with GMP-ECM 7.0-dev on Sat Sep 21 13:52:22 2013 
Input number is 680839546204911562984737767986866470902126800678641853154938806472369417754905491525683844631102624845307946016729548686870120851 (129 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2768087075
Step 1 took 0ms
Step 2 took 11689ms
********** Factor found in step 2: 1315192437797196989050302833092211797
Found probable prime factor of 37 digits: 1315192437797196989050302833092211797
Composite cofactor 517672947804690157051172427642208297084125791274275609619146669846571215668987932332709146183 has 93 digits
---
Msieve v. 1.44
Sat Sep 21 14:45:24 2013
random seeds: 321954ca e57019f2
factoring 517672947804690157051172427642208297084125791274275609619146669846571215668987932332709146183 (93 digits)
72245 relations (18478 full + 53767 combined from 958156 partial), need 71861
sieving complete, commencing postprocessing
begin with 976634 relations
reduce to 183290 relations in 11 passes
attempting to read 183290 relations
recovered 183290 relations
recovered 164235 polynomials
attempting to build 72245 cycles
found 72245 cycles in 5 passes
distribution of cycle lengths:
   length 1 : 18478
   length 2 : 13177
   length 3 : 12554
   length 4 : 9612
   length 5 : 6885
   length 6 : 4728
   length 7 : 2939
   length 9+: 3872
largest cycle: 21 relations
matrix is 71765 x 72245 (19.6 MB) with weight 4558919 (63.10/col)
sparse part has weight 4558919 (63.10/col)
filtering completed in 3 passes
matrix is 67705 x 67768 (18.4 MB) with weight 4284436 (63.22/col)
sparse part has weight 4284436 (63.22/col)
saving the first 48 matrix rows for later
matrix is 67657 x 67768 (11.6 MB) with weight 3343438 (49.34/col)
sparse part has weight 2373529 (35.02/col)
matrix includes 64 packed rows
using block size 21845 for processor cache size 512 kB
commencing Lanczos iteration
memory use: 11.0 MB
linear algebra at 35.5%, ETA 0h 0m67768 dimensions (35.5%, ETA 0h 0m)    
linear algebra completed 64245 of 67768 dimensions (94.8%, ETA 0h 0m)    
lanczos halted after 1072 iterations (dim = 67654)
recovered 17 nontrivial dependencies
prp42 factor: 997281895058177292615503390623810547889121
prp51 factor: 519083872243054470294679990523875346261535141488423
elapsed time 01:26:38
software ソフトウェア
ECM: GMP-ECM 7.0-dev
QS: Msieve v. 1.44
execution environment 実行環境
Step 1: Nvidia GeForce GTX 580, Ubuntu 12.04
Step 2: AMD Athlon II X4 640, Ubuntu 12.04
QS: AMD Athlon II X4 640, Ubuntu 12.04

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 25, 2009 04:00:00 UTC 2009 年 2 月 25 日 (水) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 8, 2011 07:10:58 UTC 2011 年 5 月 8 日 (日) 16 時 10 分 58 秒 (日本時間)

44×10206-539

c178

composite cofactor 合成数の残り
3175603617369924127177910131298593014250332976384749802305189804948990042464870367803431715684800362215548101739596870402229715999130856548546100491940903330077385517302608142313<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 11, 2013 14:00:00 UTC 2013 年 9 月 11 日 (水) 23 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovSeptember 23, 2013 15:27:52 UTC 2013 年 9 月 24 日 (火) 0 時 27 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:38 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 38 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:30 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 30 秒 (日本時間)

44×10208-539

c157

composite cofactor 合成数の残り
1747559457628762017832218079859953768153632114977432419464582539444405921869442932768767922178868089135696907062754005562971336220412707899667755225145309037<157>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 11, 2013 14:00:00 UTC 2013 年 9 月 11 日 (水) 23 時 0 分 0 秒 (日本時間)
403e61780280KTakahashiSeptember 11, 2013 19:34:04 UTC 2013 年 9 月 12 日 (木) 4 時 34 分 4 秒 (日本時間)
1500Dmitry DomanovSeptember 23, 2013 15:28:05 UTC 2013 年 9 月 24 日 (火) 0 時 28 分 5 秒 (日本時間)
4511e6800 / 4082500Dmitry DomanovSeptember 23, 2013 15:28:05 UTC 2013 年 9 月 24 日 (火) 0 時 28 分 5 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:35 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 35 秒 (日本時間)

44×10209-539

c163

name 名前Serge Batalov
date 日付May 18, 2014 23:18:05 UTC 2014 年 5 月 19 日 (月) 8 時 18 分 5 秒 (日本時間)
composite number 合成数
8288010191514230450189989107009611305609771738967970809156487737077396904917679271193192341578712475331032770621035935620192566096868202702949316772086836976441739<163>
prime factors 素因数
40957879467935303911421201434601720101547<41>
composite cofactor 合成数の残り
202354474869790687993351398219856855281849025042558931387303343606263985402899189542564916678119370249474224874161869413537<123>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1815706198
Step 1 took 12933ms
Step 2 took 10063ms
********** Factor found in step 2: 40957879467935303911421201434601720101547
Found probable prime factor of 41 digits: 40957879467935303911421201434601720101547
Composite cofactor 

c123

name 名前Dmitry Domanov
date 日付May 21, 2014 12:00:42 UTC 2014 年 5 月 21 日 (水) 21 時 0 分 42 秒 (日本時間)
composite number 合成数
202354474869790687993351398219856855281849025042558931387303343606263985402899189542564916678119370249474224874161869413537<123>
prime factors 素因数
3218194927146022686813433953051508310508727916422867<52>
62878253011617228413603846133591954766555003334552825624488154506686011<71>
factorization results 素因数分解の結果
N=202354474869790687993351398219856855281849025042558931387303343606263985402899189542564916678119370249474224874161869413537
  ( 123 digits)
Divisors found:
 r1=3218194927146022686813433953051508310508727916422867 (pp52)
 r2=62878253011617228413603846133591954766555003334552825624488154506686011 (pp71)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 58.29 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 202354474869790687993351398219856855281849025042558931387303343606263985402899189542564916678119370249474224874161869413537
skew: 74122.05
c0: -40744550112451980679303727616
c1: 748774570464616168390950
c2: 10951952557294716503
c3: -1303143104508250
c4: 3611960034
c5: 98280
Y0: -290221434841870198932407
Y1: 4372511852117
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
type: gnfs
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2650000, 5450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 799533 x 799773
Total sieving time: 56.84 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.63 hours.
Time per square root: 0.70 hours.
Prototype def-par.txt line would be:
gnfs,122,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5300000,5300000,27,27,54,54,2.5,2.5,100000
total time: 58.29 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 11, 2013 14:00:00 UTC 2013 年 9 月 11 日 (水) 23 時 0 分 0 秒 (日本時間)
403e61800 / 23181500Dmitry DomanovSeptember 23, 2013 15:28:59 UTC 2013 年 9 月 24 日 (火) 0 時 28 分 59 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:38 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 38 秒 (日本時間)

44×10214-539

c188

composite cofactor 合成数の残り
47763535731633430639980198113448091551840980168330947362278887531297768050175968189048438966562622278907876160229161647135811152611892056207763232747385620584640684590975662544266391219677<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 11, 2013 14:00:00 UTC 2013 年 9 月 11 日 (水) 23 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovSeptember 23, 2013 15:29:09 UTC 2013 年 9 月 24 日 (火) 0 時 29 分 9 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:39 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 39 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:30 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 30 秒 (日本時間)

44×10215-539

c159

composite cofactor 合成数の残り
754607478445846325676721925680155339258677486402312997021802822228899720272651159130654233313859856210447685218332373656836417595196867015073298171481860617953<159>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 11, 2013 14:00:00 UTC 2013 年 9 月 11 日 (水) 23 時 0 分 0 秒 (日本時間)
403e61780280KTakahashiSeptember 11, 2013 20:57:32 UTC 2013 年 9 月 12 日 (木) 5 時 57 分 32 秒 (日本時間)
1500Dmitry DomanovSeptember 23, 2013 15:29:22 UTC 2013 年 9 月 24 日 (火) 0 時 29 分 22 秒 (日本時間)
4511e6800 / 4082500Dmitry DomanovSeptember 23, 2013 15:29:22 UTC 2013 年 9 月 24 日 (火) 0 時 29 分 22 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:35 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 35 秒 (日本時間)

44×10216-539

c194

composite cofactor 合成数の残り
37221720618458415243762170991539296130157104793741372274906328956178976988511750719407241181764044077035633349167456417568806559980620559909205777794840394618992255558601724784260027145086799039<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 11, 2013 14:00:00 UTC 2013 年 9 月 11 日 (水) 23 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovSeptember 23, 2013 15:30:02 UTC 2013 年 9 月 24 日 (火) 0 時 30 分 2 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:40 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 40 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:31 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 31 秒 (日本時間)

44×10218-539

c179

composite cofactor 合成数の残り
16059860828766254115390461400221330438411899840311250212935451032609307561511976097324457334459221761742800348244508339967998857401909090981122486013997024181136364960312404202379<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 11, 2013 14:00:00 UTC 2013 年 9 月 11 日 (水) 23 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovSeptember 23, 2013 15:30:12 UTC 2013 年 9 月 24 日 (火) 0 時 30 分 12 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:40 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 40 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:31 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 31 秒 (日本時間)

44×10221-539

c177

name 名前Dmitry Domanov
date 日付September 13, 2013 16:48:51 UTC 2013 年 9 月 14 日 (土) 1 時 48 分 51 秒 (日本時間)
composite number 合成数
218347094859158257175369078651604106045829262715303194490935807562837397990497297700765241545745613884865557475700125631782703780360888529550213708656074122669648958886104442341<177>
prime factors 素因数
46563128888739555791501890878991<32>
1079013369931957812865804112228339<34>
13098526578611536701557096061970775669456646671<47>
331784421528474709214214003370041257167261594242563771128560410279<66>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3794894661
Step 1 took 23161ms
Step 2 took 8921ms
********** Factor found in step 2: 1079013369931957812865804112228339
Found probable prime factor of 34 digits: 1079013369931957812865804112228339

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2622854494
Step 1 took 17515ms
Step 2 took 6992ms
********** Factor found in step 2: 46563128888739555791501890878991
Found probable prime factor of 32 digits: 46563128888739555791501890878991
Composite cofactor 4345887063759979713212756214413826813656777212762971576410908990109918871147168969135485440905573726027299531209 has 112 digits

N=4345887063759979713212756214413826813656777212762971576410908990109918871147168969135485440905573726027299531209
  ( 112 digits)
Divisors found:
 r1=13098526578611536701557096061970775669456646671 (pp47)
 r2=331784421528474709214214003370041257167261594242563771128560410279 (pp66)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 30.75 hours.
Scaled time: 23.28 units (timescale=0.757).
Factorization parameters were as follows:
n: 4345887063759979713212756214413826813656777212762971576410908990109918871147168969135485440905573726027299531209
skew: 80906.76
c0: -1790627088315018414638367063
c1: 94550784723539413253520
c2: -581375179200781817
c3: 15517323969248
c4: 253213696
c5: 1848
Y0: -4723620694167386047360
Y1: 110049257377
rlim: 3720000
alim: 3720000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 200000
Factor base limits: 3720000/3720000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1860000, 2860001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 343885 x 344110
Total sieving time: 30.17 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 0.27 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3720000,3720000,26,26,52,52,2.5,2.5,100000
total time: 30.75 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 11, 2013 14:00:00 UTC 2013 年 9 月 11 日 (水) 23 時 0 分 0 秒 (日本時間)

44×10223-539

c192

composite cofactor 合成数の残り
695849172042676615611062227516008206448081397931483794845678202255488495119787918644463189176407438382674837354351570390639919951619693352339360233188232872028677553893516390355530367278260369<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 11, 2013 14:00:00 UTC 2013 年 9 月 11 日 (水) 23 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovSeptember 23, 2013 15:30:22 UTC 2013 年 9 月 24 日 (火) 0 時 30 分 22 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:41 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 41 秒 (日本時間)
4511e6451 / 4077151CypMarch 6, 2014 11:37:49 UTC 2014 年 3 月 6 日 (木) 20 時 37 分 49 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:35 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 35 秒 (日本時間)

44×10224-539

c162

composite cofactor 合成数の残り
177764284865286099599270716767638111058551953031507888505441477148509946819009806799614513090658068822275892638091157801452974611209915833163227460383337759245753<162>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 11, 2013 14:00:00 UTC 2013 年 9 月 11 日 (水) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 23, 2013 15:30:33 UTC 2013 年 9 月 24 日 (火) 0 時 30 分 33 秒 (日本時間)
4511e6800 / 4143500Dmitry DomanovSeptember 23, 2013 15:30:33 UTC 2013 年 9 月 24 日 (火) 0 時 30 分 33 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:36 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 36 秒 (日本時間)

44×10225-539

c208

composite cofactor 合成数の残り
6385556898525153517866142237212594475299836386291482084218316987385081536546348465395779876242255410310558830582463405531897950575785794225457092584799185389641938100446942203865078855048749815287874582743097<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 11, 2013 14:00:00 UTC 2013 年 9 月 11 日 (水) 23 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovSeptember 23, 2013 15:30:46 UTC 2013 年 9 月 24 日 (火) 0 時 30 分 46 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:43 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 43 秒 (日本時間)
4511e6300 / 3681Serge BatalovMay 27, 2014 00:32:36 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 36 秒 (日本時間)
5043e6113 / 7417CypFebruary 10, 2014 16:13:12 UTC 2014 年 2 月 11 日 (火) 1 時 13 分 12 秒 (日本時間)

44×10226-539

c211

name 名前Dmitry Domanov
date 日付September 13, 2013 10:53:10 UTC 2013 年 9 月 13 日 (金) 19 時 53 分 10 秒 (日本時間)
composite number 合成数
9819922446960630282231622258048658975068413018382698665131632920946605901047035307707262056813551174849139712443100667827594366481857030896800775097876575627132360232444066192873969715815950140283247529508895377<211>
prime factors 素因数
2770646587766666115624086037625439<34>
composite cofactor 合成数の残り
3544271034176239300974679879614115274436804388503470266477664409110847227281409308633502263521383515034299365115198417393218500104196936567969008586983960822439870388055424438543<178>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1987999908
Step 1 took 26648ms
Step 2 took 10683ms
********** Factor found in step 2: 2770646587766666115624086037625439
Found probable prime factor of 34 digits: 2770646587766666115624086037625439

c178

name 名前Dmitry Domanov
date 日付September 16, 2013 07:01:13 UTC 2013 年 9 月 16 日 (月) 16 時 1 分 13 秒 (日本時間)
composite number 合成数
3544271034176239300974679879614115274436804388503470266477664409110847227281409308633502263521383515034299365115198417393218500104196936567969008586983960822439870388055424438543<178>
prime factors 素因数
3615816149580318433775045575160889631<37>
composite cofactor 合成数の残り
980213287278894627597257004323241465916562950076491370493776880636120737013186624988285069043187615735715192967752140244104416221502306075153<141>
factorization results 素因数分解の結果
Factor found in step 2: 3615816149580318433775045575160889631

c141

name 名前Erik Branger
date 日付September 26, 2016 06:41:55 UTC 2016 年 9 月 26 日 (月) 15 時 41 分 55 秒 (日本時間)
composite number 合成数
980213287278894627597257004323241465916562950076491370493776880636120737013186624988285069043187615735715192967752140244104416221502306075153<141>
prime factors 素因数
95688836856966451815937319222519522145756398463054007<53>
10243757991792665218642069483265955350035789448573026544610178834696704808959043702229879<89>
factorization results 素因数分解の結果
Number: 48883_226
N = 980213287278894627597257004323241465916562950076491370493776880636120737013186624988285069043187615735715192967752140244104416221502306075153 (141 digits)
Divisors found:
r1=95688836856966451815937319222519522145756398463054007 (pp53)
r2=10243757991792665218642069483265955350035789448573026544610178834696704808959043702229879 (pp89)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 239.77 hours.
Factorization parameters were as follows:
# Murphy_E = 1.865e-11, selected by Erik Branger
# expecting poly E from 1.79e-011 to > 2.06e-011
n: 980213287278894627597257004323241465916562950076491370493776880636120737013186624988285069043187615735715192967752140244104416221502306075153
Y0: -2169392260472887731531365373
Y1: 497103339670951
c0: 556869437328515126745926451762292832
c1: 1400373181444619595719838426854
c2: 118813677770538955073913
c3: -395690463811236464
c4: -2931510860
c5: 20400
skew: 2718936.15
type: gnfs
# selected mechanically
rlim: 19400000
alim: 19400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19400000/19400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23250574
Relations: 3712508 relations
Pruned matrix : 2308201 x 2308428
Polynomial selection time: 0.00 hours.
Total sieving time: 236.66 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 2.78 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: gnfs,140,5,65,2000,1e-05,0.28,250,20,50000,3600,19400000,19400000,28,28,56,56,2.6,2.6,100000
total time: 239.77 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 11, 2013 14:00:00 UTC 2013 年 9 月 11 日 (水) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 20, 2013 12:00:10 UTC 2013 年 9 月 20 日 (金) 21 時 0 分 10 秒 (日本時間)
403e61610110Ignacio SantosSeptember 20, 2013 12:00:10 UTC 2013 年 9 月 20 日 (金) 21 時 0 分 10 秒 (日本時間)
1500Dmitry DomanovSeptember 23, 2013 15:30:59 UTC 2013 年 9 月 24 日 (火) 0 時 30 分 59 秒 (日本時間)
4511e6408232Ignacio SantosSeptember 20, 2013 12:00:10 UTC 2013 年 9 月 20 日 (金) 21 時 0 分 10 秒 (日本時間)
1000Dmitry DomanovSeptember 23, 2013 15:30:59 UTC 2013 年 9 月 24 日 (火) 0 時 30 分 59 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:32 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 32 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:42 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 42 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:31 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 31 秒 (日本時間)
5043e67 / 6574KTakahashiMay 25, 2014 06:45:56 UTC 2014 年 5 月 25 日 (日) 15 時 45 分 56 秒 (日本時間)

44×10230-539

c167

composite cofactor 合成数の残り
17439874796123411079359901558321896087638538720953851315258895556718745782782824425045931329760041705950868082763052474763512047668505146204249350926857647643118451397<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 11, 2013 14:00:00 UTC 2013 年 9 月 11 日 (水) 23 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovSeptember 23, 2013 15:31:24 UTC 2013 年 9 月 24 日 (火) 0 時 31 分 24 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:44 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 44 秒 (日本時間)
4511e6451 / 4077151CypMarch 6, 2014 09:37:01 UTC 2014 年 3 月 6 日 (木) 18 時 37 分 1 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:37 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 37 秒 (日本時間)

44×10231-539

c216

composite cofactor 合成数の残り
114388514552816629898701704147335508382975726842649820806869396429177701376087638734863286829480614879996479818860391917244237898177941228249104449101769755335960295649763769476698462226805580995274874956068840334991<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 11, 2013 14:00:00 UTC 2013 年 9 月 11 日 (水) 23 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovSeptember 23, 2013 15:31:33 UTC 2013 年 9 月 24 日 (火) 0 時 31 分 33 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:44 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 44 秒 (日本時間)
4511e6300 / 3681Serge BatalovMay 27, 2014 00:32:37 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 37 秒 (日本時間)
5043e6113 / 7417CypFebruary 12, 2014 06:07:11 UTC 2014 年 2 月 12 日 (水) 15 時 7 分 11 秒 (日本時間)

44×10232-539

c191

composite cofactor 合成数の残り
10685364169783955822478129918534358379676461324810382502100469277705930963793511588913020978428559561315589789857729990120107371367625933634826384809841267924774332981977436793297260322176721<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 11, 2013 14:00:00 UTC 2013 年 9 月 11 日 (水) 23 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovSeptember 23, 2013 15:31:42 UTC 2013 年 9 月 24 日 (火) 0 時 31 分 42 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:45 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 45 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:32 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 32 秒 (日本時間)

44×10233-539

c193

composite cofactor 合成数の残り
5909543775463794601992058949786318571476673151566508338726784041822562343346492128449164414688142638853169819293151422850750730019830860663786725666021120242044174682783124640822544233016431523<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 11, 2013 14:00:00 UTC 2013 年 9 月 11 日 (水) 23 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovSeptember 23, 2013 15:31:51 UTC 2013 年 9 月 24 日 (火) 0 時 31 分 51 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:46 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 46 秒 (日本時間)
4511e6300 / 3681Serge BatalovMay 27, 2014 00:32:38 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 38 秒 (日本時間)
5043e6113 / 7417CypFebruary 6, 2014 06:35:57 UTC 2014 年 2 月 6 日 (木) 15 時 35 分 57 秒 (日本時間)

44×10234-539

c231

composite cofactor 合成数の残り
411765256370663597143846448992578867084046903806021131044292839963689791029132391888224449497927136266224954846196318444275995021383718427431052715311116726091879801978344890835415555368389529932526647762898078740746979608261508371<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 11, 2013 14:00:00 UTC 2013 年 9 月 11 日 (水) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 12, 2013 18:32:00 UTC 2013 年 9 月 13 日 (金) 3 時 32 分 0 秒 (日本時間)
403e61610110Ignacio SantosSeptember 12, 2013 18:32:00 UTC 2013 年 9 月 13 日 (金) 3 時 32 分 0 秒 (日本時間)
1500Dmitry DomanovSeptember 23, 2013 15:32:02 UTC 2013 年 9 月 24 日 (火) 0 時 32 分 2 秒 (日本時間)
4511e6328232Ignacio SantosSeptember 12, 2013 18:32:00 UTC 2013 年 9 月 13 日 (金) 3 時 32 分 0 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:16:37 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 37 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:19 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 19 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:02 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 2 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:08 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 8 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:38 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 38 秒 (日本時間)
5043e6235 / 6754KTakahashiNovember 7, 2014 01:46:12 UTC 2014 年 11 月 7 日 (金) 10 時 46 分 12 秒 (日本時間)

44×10235-539

c210

composite cofactor 合成数の残り
160255100414872763612270857412543179272674867396331427651645366561501770107684961236872889678701585988489663720710233079881106988157463198025316934626160946720475487626432996331286707455649347618534118555377989<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 11, 2013 14:00:00 UTC 2013 年 9 月 11 日 (水) 23 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovSeptember 23, 2013 15:32:11 UTC 2013 年 9 月 24 日 (火) 0 時 32 分 11 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:46 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 46 秒 (日本時間)
4511e6451 / 4077151CypMarch 8, 2014 05:50:57 UTC 2014 年 3 月 8 日 (土) 14 時 50 分 57 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:38 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 38 秒 (日本時間)

44×10238-539

c207

name 名前Dmitry Domanov
date 日付September 13, 2013 10:48:06 UTC 2013 年 9 月 13 日 (金) 19 時 48 分 6 秒 (日本時間)
composite number 合成数
334801558609092275494952201985911343518935682081949159240132380825042416815508804201612584121822889961673548805709782154205548494052131439628137071109508151815804293621345358120766220384547385636480387491739<207>
prime factors 素因数
18941341512176989038891900121546741<35>
5384948726726111912721355593001269709<37>
composite cofactor 合成数の残り
3282427663897160196885415226564581655549547471852889537507030698746789607527878580110651833742722235433925505218689797884426735182606731<136>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2673483169
Step 1 took 26789ms
Step 2 took 10298ms
********** Factor found in step 2: 18941341512176989038891900121546741
Found probable prime factor of 35 digits: 18941341512176989038891900121546741

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=7289421
Step 1 took 19844ms
Step 2 took 8290ms
********** Factor found in step 2: 5384948726726111912721355593001269709
Found probable prime factor of 37 digits: 5384948726726111912721355593001269709

c136

name 名前Jose Pascoa
date 日付September 15, 2013 18:25:02 UTC 2013 年 9 月 16 日 (月) 3 時 25 分 2 秒 (日本時間)
composite number 合成数
3282427663897160196885415226564581655549547471852889537507030698746789607527878580110651833742722235433925505218689797884426735182606731<136>
prime factors 素因数
178762910997301494799929032604821498432213<42>
18361905417543295063805864495669312391856212482658429574561819972409656154490669676062325963487<95>
factorization results 素因数分解の結果
prp42 = 178762910997301494799929032604821498432213 (curve 191 stg2 B1=3000000 sigma=3933467756 thread=5)
Finished 1910 curves using Lenstra ECM method on C136 input, B1=3M, B2=gmp-ecm default
software ソフトウェア
YAFU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaSeptember 11, 2013 14:00:00 UTC 2013 年 9 月 11 日 (水) 23 時 0 分 0 秒 (日本時間)
768Jose PascoaSeptember 15, 2013 17:22:31 UTC 2013 年 9 月 16 日 (月) 2 時 22 分 31 秒 (日本時間)
18Jose PascoaSeptember 15, 2013 17:23:02 UTC 2013 年 9 月 16 日 (月) 2 時 23 分 2 秒 (日本時間)
403e62000 / 2104Jose PascoaSeptember 15, 2013 18:24:08 UTC 2013 年 9 月 16 日 (月) 3 時 24 分 8 秒 (日本時間)

44×10239-539

c160

name 名前Dmitry Domanov
date 日付September 16, 2013 07:01:45 UTC 2013 年 9 月 16 日 (月) 16 時 1 分 45 秒 (日本時間)
composite number 合成数
5797670263072854679163519394060900173960619177513672111402681388768714185247339570026895167832110727940133867622720891921852306051558666568692103139260069106281<160>
prime factors 素因数
6858967200007130952839480596188089102701<40>
845268696293929953179183905788244624821210387747395987109528061092865495378104497826899543969351422665894751827150537581<120>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3778210084
Step 1 took 19474ms
********** Factor found in step 1: 6858967200007130952839480596188089102701
Found probable prime factor of 40 digits: 6858967200007130952839480596188089102701

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 11, 2013 14:00:00 UTC 2013 年 9 月 11 日 (水) 23 時 0 分 0 秒 (日本時間)
403e6280 / 2318KTakahashiSeptember 11, 2013 21:46:34 UTC 2013 年 9 月 12 日 (木) 6 時 46 分 34 秒 (日本時間)

44×10240-539

c181

composite cofactor 合成数の残り
5340049102743347662459914234573314076071240922544133775874155588958932835576279526308684334085102234602091333680288074594415497927574528455473433749002198473547962023790834475716447<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 11, 2013 14:00:00 UTC 2013 年 9 月 11 日 (水) 23 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovSeptember 23, 2013 15:32:22 UTC 2013 年 9 月 24 日 (火) 0 時 32 分 22 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:48 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 48 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:32 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 32 秒 (日本時間)

44×10241-539

c238

name 名前Ignacio Santos
date 日付September 12, 2013 21:43:46 UTC 2013 年 9 月 13 日 (金) 6 時 43 分 46 秒 (日本時間)
composite number 合成数
9461755155581360342343504720125583295701352600907468335376212287379308861793862761542266090359761735801991269380470077199320473947917338666322602842827344472399630131389372728641162935724576909016622583489237253510526202610584263380857149<238>
prime factors 素因数
168517156213046315862595674059093<33>
56147132839219174483932652062143780168738442167017279148619940934440775100477501790549154609276965355757588991860626535546790417835417678665832379954640462564928243796369018272997184565471220932514110955593<206>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3532411148
Step 1 took 4016ms
Step 2 took 2875ms
********** Factor found in step 2: 168517156213046315862595674059093
Found probable prime factor of 33 digits: 168517156213046315862595674059093
Probable prime cofactor 56147132839219174483932652062143780168738442167017279148619940934440775100477501790549154609276965355757588991860626535546790417835417678665832379954640462564928243796369018272997184565471220932514110955593 has 206 digits
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 11, 2013 14:00:00 UTC 2013 年 9 月 11 日 (水) 23 時 0 分 0 秒 (日本時間)

44×10242-539

c236

composite cofactor 合成数の残り
12551805330011737678120208999083584134806754387753844822652589965328576039363009230058482598047293393882443494061682418369341167976237880650719706396841876775258524898772328745257667638995119239055474024448229555449030665866169576379109<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 11, 2013 14:00:00 UTC 2013 年 9 月 11 日 (水) 23 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovSeptember 23, 2013 15:32:31 UTC 2013 年 9 月 24 日 (火) 0 時 32 分 31 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:49 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 49 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:32 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 32 秒 (日本時間)

44×10243-539

c244

composite cofactor 合成数の残り
4888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 11, 2013 14:00:00 UTC 2013 年 9 月 11 日 (水) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 12, 2013 21:45:47 UTC 2013 年 9 月 13 日 (金) 6 時 45 分 47 秒 (日本時間)
403e61610110Ignacio SantosSeptember 12, 2013 21:45:47 UTC 2013 年 9 月 13 日 (金) 6 時 45 分 47 秒 (日本時間)
1500Dmitry DomanovSeptember 23, 2013 15:32:39 UTC 2013 年 9 月 24 日 (火) 0 時 32 分 39 秒 (日本時間)
4511e688232Ignacio SantosSeptember 12, 2013 21:45:47 UTC 2013 年 9 月 13 日 (金) 6 時 45 分 47 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:17:40 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 40 秒 (日本時間)
5043e63275 / 7292775Serge BatalovNovember 25, 2013 02:17:46 UTC 2013 年 11 月 25 日 (月) 11 時 17 分 46 秒 (日本時間)
2000Serge BatalovJanuary 4, 2014 09:54:16 UTC 2014 年 1 月 4 日 (土) 18 時 54 分 16 秒 (日本時間)
500Serge BatalovJanuary 11, 2015 01:24:53 UTC 2015 年 1 月 11 日 (日) 10 時 24 分 53 秒 (日本時間)

44×10244-539

c200

name 名前Dmitry Domanov
date 日付September 16, 2013 07:02:29 UTC 2013 年 9 月 16 日 (月) 16 時 2 分 29 秒 (日本時間)
composite number 合成数
20574285964168615453310772275568553966601468279114454871804113422745830458857181288342922869979027035242658425906281894672468770988019751555992437033354108677054042666789754365020515910158079173702503<200>
prime factors 素因数
66814117746966608483164506269112147257<38>
composite cofactor 合成数の残り
307933213188356400170355136642968463384956664957134571105089615078821175252289379567488452502375738440694886184116699607461838395259355917678099758576363465995679<162>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3209475347
Step 1 took 26762ms
Step 2 took 9957ms
********** Factor found in step 2: 66814117746966608483164506269112147257
Found probable prime factor of 38 digits: 66814117746966608483164506269112147257

c162

name 名前Serge Batalov
date 日付November 8, 2013 07:21:27 UTC 2013 年 11 月 8 日 (金) 16 時 21 分 27 秒 (日本時間)
composite number 合成数
307933213188356400170355136642968463384956664957134571105089615078821175252289379567488452502375738440694886184116699607461838395259355917678099758576363465995679<162>
prime factors 素因数
359502754299325742010684884736486650633<39>
856553140430095274985110399880789292596128834963974396919732502012049032012670156678426422821837136430923423127099101922663<123>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=957417617
Step 1 took 40155ms
Step 2 took 14958ms
********** Factor found in step 2: 359502754299325742010684884736486650633
Found probable prime factor of 39 digits: 359502754299325742010684884736486650633
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 11, 2013 14:00:00 UTC 2013 年 9 月 11 日 (水) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 20, 2013 13:19:37 UTC 2013 年 9 月 20 日 (金) 22 時 19 分 37 秒 (日本時間)
403e61610110Ignacio SantosSeptember 20, 2013 13:19:37 UTC 2013 年 9 月 20 日 (金) 22 時 19 分 37 秒 (日本時間)
1500Dmitry DomanovSeptember 23, 2013 15:32:55 UTC 2013 年 9 月 24 日 (火) 0 時 32 分 55 秒 (日本時間)
4511e6532 / 410532Ignacio SantosSeptember 20, 2013 13:19:37 UTC 2013 年 9 月 20 日 (金) 22 時 19 分 37 秒 (日本時間)
500Dmitry DomanovSeptember 23, 2013 15:32:55 UTC 2013 年 9 月 24 日 (火) 0 時 32 分 55 秒 (日本時間)

44×10246-539

c231

composite cofactor 合成数の残り
298785510997000428579704216316527024392829667229664778310673963954211480348690018982684919056020295592361905203778767229495540035998068396052100423877548310265311353681542759177495112819197423438843805374241875604815819595265171251<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 11, 2013 14:00:00 UTC 2013 年 9 月 11 日 (水) 23 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovSeptember 23, 2013 15:33:08 UTC 2013 年 9 月 24 日 (火) 0 時 33 分 8 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:50 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 50 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:33 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 33 秒 (日本時間)

44×10247-539

c226

name 名前Dmitry Domanov
date 日付September 13, 2013 13:41:52 UTC 2013 年 9 月 13 日 (金) 22 時 41 分 52 秒 (日本時間)
composite number 合成数
3290275782728939160005709842121401502222739271476116804984691221143766214240268075644143831781072090729873599494544966855859279578768533492868028574206046423095182310745440110975275396891205083589927057534771412861545504499057<226>
prime factors 素因数
4545448706284928323733963514130141<34>
723861602085514874383031434248315637586612468213265051271500189669787024065278443560294729752257175525804022648943217675487162702438469508693318110436592633709176654561458914689224050947450277<192>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2447601338
Step 1 took 30440ms
Step 2 took 11443ms
********** Factor found in step 2: 4545448706284928323733963514130141
Found probable prime factor of 34 digits: 4545448706284928323733963514130141

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 11, 2013 14:00:00 UTC 2013 年 9 月 11 日 (水) 23 時 0 分 0 秒 (日本時間)

44×10248-539

c215

composite cofactor 合成数の残り
53256548046898241080328518820925575527071071382765838487849612495908656801501573989507920240571599005432607995714306183924519524541646772185447332193452149877135334742003043655345998179528763023222639233949466846539<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 11, 2013 14:00:00 UTC 2013 年 9 月 11 日 (水) 23 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovSeptember 23, 2013 15:33:18 UTC 2013 年 9 月 24 日 (火) 0 時 33 分 18 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:51 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 51 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:33 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 33 秒 (日本時間)

44×10249-539

c234

composite cofactor 合成数の残り
666023950726868276963592885575960953462692402190729650890080900358438095918935565963060363504850055506648966511528858659360643533421627091672594718314374636667559963660606125941786023647546149619322821951544262911461097440218097398527<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 11, 2013 14:00:00 UTC 2013 年 9 月 11 日 (水) 23 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovSeptember 23, 2013 15:33:27 UTC 2013 年 9 月 24 日 (火) 0 時 33 分 27 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:52 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 52 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:33 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 33 秒 (日本時間)

44×10250-539

c226

composite cofactor 合成数の残り
2324632546675779716572448901914562685791614909178392446779187202306045384728123886996855455923053501477021166467971635705843501764377562341497418472301456667038702413533893477993372766681097878520563660716645963987129027640789<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 11, 2013 14:00:00 UTC 2013 年 9 月 11 日 (水) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 18, 2013 15:35:56 UTC 2013 年 9 月 19 日 (木) 0 時 35 分 56 秒 (日本時間)
4511e61500Dmitry DomanovSeptember 18, 2013 15:35:56 UTC 2013 年 9 月 19 日 (木) 0 時 35 分 56 秒 (日本時間)
5043e6800 / 7159Dmitry DomanovOctober 11, 2013 11:21:12 UTC 2013 年 10 月 11 日 (金) 20 時 21 分 12 秒 (日本時間)