Table of contents 目次

62×10102-539

c91

name 名前Sinkiti Sibata
date 日付October 19, 2009 10:19:14 UTC 2009 年 10 月 19 日 (月) 19 時 19 分 14 秒 (日本時間)
composite number 合成数
2939863652514622780145344486414572716464648415149310198823161693782443293339686557371330233<91>
prime factors 素因数
608238767329856403231492542029<30>
4833403936780460989909255914993332444536391473076934345986077<61>
factorization results 素因数分解の結果
Mon oct 19 17:10:42 2009 Msieve v. 1.42
Mon Oct 19 17:10:42 2009  random seeds: de1ed4c7 1764d00d
Mon Oct 19 17:10:42 2009  factoring 2939863652514622780145344486414572716464648415149310198823161693782443293339686557371330233 (91 digits)
Mon Oct 19 17:10:43 2009  searching for 15-digit factors
Mon Oct 19 17:10:43 2009  commencing quadratic sieve (91-digit input)
Mon Oct 19 17:10:43 2009  using multiplier of 1
Mon Oct 19 17:10:43 2009  using 64kb Opteron sieve core
Mon Oct 19 17:10:43 2009  sieve interval: 18 blocks of size 65536
Mon Oct 19 17:10:43 2009  processing polynomials in batches of 6
Mon Oct 19 17:10:43 2009  using a sieve bound of 1685951 (63338 primes)
Mon Oct 19 17:10:43 2009  using large prime bound of 155107492 (27 bits)
Mon Oct 19 17:10:43 2009  using double large prime bound of 553527143260656 (42-49 bits)
Mon Oct 19 17:10:43 2009  using trial factoring cutoff of 49 bits
Mon Oct 19 17:10:43 2009  polynomial 'A' values have 12 factors
Mon Oct 19 18:15:38 2009  63759 relations (16500 full + 47259 combined from 732755 partial), need 63434
Mon Oct 19 18:15:38 2009  begin with 749255 relations
Mon Oct 19 18:15:38 2009  reduce to 158191 relations in 9 passes
Mon Oct 19 18:15:38 2009  attempting to read 158191 relations
Mon Oct 19 18:15:39 2009  recovered 158191 relations
Mon Oct 19 18:15:39 2009  recovered 137477 polynomials
Mon Oct 19 18:15:39 2009  attempting to build 63759 cycles
Mon Oct 19 18:15:40 2009  found 63759 cycles in 5 passes
Mon Oct 19 18:15:40 2009  distribution of cycle lengths:
Mon Oct 19 18:15:40 2009     length 1 : 16500
Mon Oct 19 18:15:40 2009     length 2 : 12001
Mon Oct 19 18:15:40 2009     length 3 : 11058
Mon Oct 19 18:15:40 2009     length 4 : 8700
Mon Oct 19 18:15:40 2009     length 5 : 6250
Mon Oct 19 18:15:40 2009     length 6 : 3970
Mon Oct 19 18:15:40 2009     length 7 : 2363
Mon Oct 19 18:15:40 2009     length 9+: 2917
Mon Oct 19 18:15:40 2009  largest cycle: 20 relations
Mon Oct 19 18:15:40 2009  matrix is 63338 x 63759 (16.4 MB) with weight 3779864 (59.28/col)
Mon Oct 19 18:15:40 2009  sparse part has weight 3779864 (59.28/col)
Mon Oct 19 18:15:41 2009  filtering completed in 4 passes
Mon Oct 19 18:15:41 2009  matrix is 59565 x 59629 (15.3 MB) with weight 3541921 (59.40/col)
Mon Oct 19 18:15:41 2009  sparse part has weight 3541921 (59.40/col)
Mon Oct 19 18:15:41 2009  saving the first 48 matrix rows for later
Mon Oct 19 18:15:41 2009  matrix is 59517 x 59629 (9.6 MB) with weight 2743720 (46.01/col)
Mon Oct 19 18:15:41 2009  sparse part has weight 1918101 (32.17/col)
Mon Oct 19 18:15:41 2009  matrix includes 64 packed rows
Mon Oct 19 18:15:41 2009  using block size 21845 for processor cache size 512 kB
Mon Oct 19 18:15:41 2009  commencing Lanczos iteration
Mon Oct 19 18:15:41 2009  memory use: 9.2 MB
Mon Oct 19 18:16:00 2009  lanczos halted after 943 iterations (dim = 59511)
Mon Oct 19 18:16:00 2009  recovered 13 nontrivial dependencies
Mon Oct 19 18:16:01 2009  prp30 factor: 608238767329856403231492542029
Mon Oct 19 18:16:01 2009  prp61 factor: 4833403936780460989909255914993332444536391473076934345986077
Mon Oct 19 18:16:01 2009  elapsed time 01:05:19
  
  

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 19, 2009 04:00:00 UTC 2009 年 10 月 19 日 (月) 13 時 0 分 0 秒 (日本時間)

62×10116-539

c112

name 名前Serge Batalov
date 日付October 20, 2009 04:44:25 UTC 2009 年 10 月 20 日 (火) 13 時 44 分 25 秒 (日本時間)
composite number 合成数
1508858336941208308358077393237929680874028094455505349511215076317811318238422493476012924588477140917877464641<112>
prime factors 素因数
6679840150123809044106204970050911<34>
225882401828618911503033856318130927193899656636246403015114140502544786702431<78>
factorization results 素因数分解の結果
SNFS difficulty: 118 digits.
Divisors found:
 r1=6679840150123809044106204970050911 (pp34)
 r2=225882401828618911503033856318130927193899656636246403015114140502544786702431 (pp78)
Version: Msieve v. 1.44 SVN130
Total time: 0.77 hours.
Scaled time: 1.85 units (timescale=2.400).
Factorization parameters were as follows:
n: 1508858336941208308358077393237929680874028094455505349511215076317811318238422493476012924588477140917877464641
m: 200000000000000000000000
deg: 5
c5: 155
c0: -424
skew: 1.22
type: snfs
lss: 1
rlim: 670000
alim: 670000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 670000/670000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [418750, 668751)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 68447 x 68674
Total sieving time: 0.70 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,118.000,5,0,0,0,0,0,0,0,0,670000,670000,25,25,45,45,2.2,2.2,50000
total time: 0.77 hours.
software ソフトウェア
Msieve v. 1.44 SVN130

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 19, 2009 04:00:00 UTC 2009 年 10 月 19 日 (月) 13 時 0 分 0 秒 (日本時間)

62×10123-539

c97

name 名前Markus Tervooren
date 日付October 19, 2009 14:08:48 UTC 2009 年 10 月 19 日 (月) 23 時 8 分 48 秒 (日本時間)
composite number 合成数
6648343681797746668425416624881846071261372063540750002470667577930924754852774087811784829108607<97>
prime factors 素因数
8226127289692476371319524848640942547201787<43>
808198493369811057446035929143293359486982523771510861<54>
factorization results 素因数分解の結果
commencing square root phase
reading relations for dependency 1
read 65712 cycles
cycles contain 211206 unique relations
read 211206 relations
multiplying 171662 relations
multiply complete, coefficients have about 4.87 million bits
initial square root is modulo 405071
reading relations for dependency 2
read 65445 cycles
cycles contain 210916 unique relations
read 210916 relations
multiplying 171198 relations
multiply complete, coefficients have about 4.86 million bits
initial square root is modulo 391961
reading relations for dependency 3
read 65872 cycles
cycles contain 211966 unique relations
read 211966 relations
multiplying 172616 relations
multiply complete, coefficients have about 4.90 million bits
initial square root is modulo 435131
reading relations for dependency 4
read 65643 cycles
cycles contain 211460 unique relations
read 211460 relations
multiplying 171780 relations
multiply complete, coefficients have about 4.88 million bits
initial square root is modulo 409291
sqrtTime: 86
prp43 factor: 8226127289692476371319524848640942547201787
prp54 factor: 808198493369811057446035929143293359486982523771510861
elapsed time 00:01:27

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 19, 2009 04:00:00 UTC 2009 年 10 月 19 日 (月) 13 時 0 分 0 秒 (日本時間)

62×10127-539

c111

name 名前Sinkiti Sibata
date 日付October 29, 2009 07:13:43 UTC 2009 年 10 月 29 日 (木) 16 時 13 分 43 秒 (日本時間)
composite number 合成数
250047031611671426524712294764192025608047985060941485564187383018891286802343657348586214528075249412428924699<111>
prime factors 素因数
5453325435685665821475301936816985008441<40>
45852211565333095184206412202116635585191607632222241319520518384375539<71>
factorization results 素因数分解の結果
Number: 68883_127
N=250047031611671426524712294764192025608047985060941485564187383018891286802343657348586214528075249412428924699
  ( 111 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=5453325435685665821475301936816985008441 (pp40)
 r2=45852211565333095184206412202116635585191607632222241319520518384375539 (pp71)
Version: GGNFS-0.77.1-20060513-k8
Total time: 5.22 hours.
Scaled time: 10.27 units (timescale=1.967).
Factorization parameters were as follows:
name: 68883_127
n: 250047031611671426524712294764192025608047985060941485564187383018891286802343657348586214528075249412428924699
m: 20000000000000000000000000
deg: 5
c5: 775
c0: -212
skew: 0.77
type: snfs
lss: 1
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [500000, 1050001)
Primes: RFBsize:78498, AFBsize:78237, largePrimes:2790052 encountered
Relations: rels:2715447, finalFF:211136
Max relations in full relation-set: 28
Initial matrix: 156802 x 211136 with sparse part having weight 18694044.
Pruned matrix : 143833 x 144681 with weight 10166225.
Total sieving time: 4.95 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,129,5,0,0,0,0,0,0,0,0,1000000,1000000,26,26,47,47,2.3,2.3,50000
total time: 5.22 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 28, 2009 09:00:00 UTC 2009 年 10 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)

62×10130-539

c99

name 名前Sinkiti Sibata
date 日付October 29, 2009 10:18:38 UTC 2009 年 10 月 29 日 (木) 19 時 18 分 38 秒 (日本時間)
composite number 合成数
132368093286120427073132380496392850742543712691797795425763461226071196035292063716102728062175419<99>
prime factors 素因数
27526445632823402801555781212943586751<38>
4808760820477327944086801289662261340494201135301405931889669<61>
factorization results 素因数分解の結果
Number: 68883_130
N=132368093286120427073132380496392850742543712691797795425763461226071196035292063716102728062175419
  ( 99 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=27526445632823402801555781212943586751 (pp38)
 r2=4808760820477327944086801289662261340494201135301405931889669 (pp61)
Version: Msieve v. 1.42
Total time: 0.12 hours.
Scaled time: 0.13 units (timescale=1.025).
Factorization parameters were as follows:
name: 68883_130
n: 132368093286120427073132380496392850742543712691797795425763461226071196035292063716102728062175419
m: 100000000000000000000000000
deg: 5
c5: 62
c0: -53
skew: 0.97
type: snfs
lss: 1
rlim: 1100000
alim: 1100000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [550000, 1050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 180005 x 180230
Total sieving time: 0.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,131.000,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,50000
total time: 0.12 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 3057976k/3145344k available (3786k kernel code, 496k absent, 86872k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4787.88 BogoMIPS (lpj=2393941)
Calibrating delay using timer specific routine.. 4787.76 BogoMIPS (lpj=2393880)
Calibrating delay using timer specific routine.. 4787.77 BogoMIPS (lpj=2393886)
Calibrating delay using timer specific routine.. 4787.78 BogoMIPS (lpj=2393891)
Total of 4 processors activated (19151.19 BogoMIPS).

total time: 1 hour 55 min

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 28, 2009 09:00:00 UTC 2009 年 10 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)

62×10131-539

c119

name 名前Erik Branger
date 日付October 29, 2009 06:29:43 UTC 2009 年 10 月 29 日 (木) 15 時 29 分 43 秒 (日本時間)
composite number 合成数
16277731741388260497915416758923984903955258653210841577364643431610859290705103072764367923074919035554697010915572553<119>
prime factors 素因数
2213322253356502762971124059611562807329201224533739<52>
7354433687504421692647292079401137480439947289067440673701943894427<67>
factorization results 素因数分解の結果
Number: 68883_131
N=16277731741388260497915416758923984903955258653210841577364643431610859290705103072764367923074919035554697010915572553
  ( 119 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=2213322253356502762971124059611562807329201224533739 (pp52)
 r2=7354433687504421692647292079401137480439947289067440673701943894427 (pp67)
Version: Msieve v. 1.43
Total time: 4.98 hours.
Scaled time: 3.91 units (timescale=0.785).
Factorization parameters were as follows:
n: 16277731741388260497915416758923984903955258653210841577364643431610859290705103072764367923074919035554697010915572553
m: 200000000000000000000000000
deg: 5
c5: 155
c0: -424
skew: 1.22
type: snfs
lss: 1
rlim: 1180000
alim: 1180000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1180000/1180000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [590000, 1040001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 161442 x 161667
Total sieving time: 4.69 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,133.000,5,0,0,0,0,0,0,0,0,1180000,1180000,26,26,47,47,2.3,2.3,75000
total time: 4.98 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 KamadaOctober 28, 2009 09:00:00 UTC 2009 年 10 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)

62×10137-539

c122

name 名前Erik Branger
date 日付October 29, 2009 18:42:30 UTC 2009 年 10 月 30 日 (金) 3 時 42 分 30 秒 (日本時間)
composite number 合成数
14104142055355317759668354177413145279996340994172427429184656761606188941098694112179225964159993307036446344359313029801<122>
prime factors 素因数
92016598929517614098722805673273505224217<41>
153278236964167015210420723223931171496148765949262538905208174029503679220103953<81>
factorization results 素因数分解の結果
Number: 68883_137
N=14104142055355317759668354177413145279996340994172427429184656761606188941098694112179225964159993307036446344359313029801
  ( 122 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=92016598929517614098722805673273505224217 (pp41)
 r2=153278236964167015210420723223931171496148765949262538905208174029503679220103953 (pp81)
Version: Msieve-1.40
Total time: 7.17 hours.
Scaled time: 6.96 units (timescale=0.970).
Factorization parameters were as follows:
n: 14104142055355317759668354177413145279996340994172427429184656761606188941098694112179225964159993307036446344359313029801
m: 2000000000000000000000000000
deg: 5
c5: 775
c0: -212
skew: 0.77
type: snfs
lss: 1
rlim: 1470000
alim: 1470000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1470000/1470000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [735000, 1860001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 261076 x 261302
Total sieving time: 6.82 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,139.000,5,0,0,0,0,0,0,0,0,1470000,1470000,26,26,48,48,2.3,2.3,75000
total time: 7.17 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 KamadaOctober 28, 2009 09:00:00 UTC 2009 年 10 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)

62×10138-539

c108

name 名前Sinkiti Sibata
date 日付October 31, 2009 14:20:02 UTC 2009 年 10 月 31 日 (土) 23 時 20 分 2 秒 (日本時間)
composite number 合成数
292578481614426219363304516419595857892000196250239350859450480767231738398900672852889995261550968201912121<108>
prime factors 素因数
2598917760441813104579654155912123<34>
112577044979171717082980452895774413486489534296882540558515482893898057627<75>
factorization results 素因数分解の結果
Number: 68883_138
N=292578481614426219363304516419595857892000196250239350859450480767231738398900672852889995261550968201912121
  ( 108 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=2598917760441813104579654155912123 (pp34)
 r2=112577044979171717082980452895774413486489534296882540558515482893898057627 (pp75)
Version: Msieve-1.40
Total time: 9.15 hours.
Scaled time: 30.73 units (timescale=3.357).
Factorization parameters were as follows:
name: 68883_138
n: 292578481614426219363304516419595857892000196250239350859450480767231738398900672852889995261550968201912121
m: 5000000000000000000000000000
deg: 5
c5: 496
c0: -1325
skew: 1.22
type: snfs
lss: 1
rlim: 1580000
alim: 1580000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1580000/1580000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [790000, 1990001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 277070 x 277318
Total sieving time: 8.97 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1580000,1580000,26,26,48,48,2.3,2.3,100000
total time: 9.15 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 KamadaOctober 28, 2009 09:00:00 UTC 2009 年 10 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)

62×10142-539

c138

name 名前Sinkiti Sibata
date 日付October 30, 2009 22:30:21 UTC 2009 年 10 月 31 日 (土) 7 時 30 分 21 秒 (日本時間)
composite number 合成数
600637256754020636733618345399360805706441447070779288089847583452249822472939838428577933168448718656665087571943264967250737960371503831<138>
prime factors 素因数
1897221955530729728636794936489<31>
316587764021525936138950181020917122053434327967423987470819925009163201030651339553471066974369806252970879<108>
factorization results 素因数分解の結果
Number: 68883_142
N=600637256754020636733618345399360805706441447070779288089847583452249822472939838428577933168448718656665087571943264967250737960371503831
  ( 138 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=1897221955530729728636794936489 (pp31)
 r2=316587764021525936138950181020917122053434327967423987470819925009163201030651339553471066974369806252970879 (pp108)
Version: GGNFS-0.77.1-20060513-k8
Total time: 23.85 hours.
Scaled time: 46.67 units (timescale=1.957).
Factorization parameters were as follows:
name: 68883_142
n: 600637256754020636733618345399360805706441447070779288089847583452249822472939838428577933168448718656665087571943264967250737960371503831
m: 20000000000000000000000000000
deg: 5
c5: 775
c0: -212
skew: 0.77
type: snfs
lss: 1
rlim: 1790000
alim: 1790000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1790000/1790000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [895000, 2995001)
Primes: RFBsize:134359, AFBsize:134018, largePrimes:4285211 encountered
Relations: rels:4611288, finalFF:372028
Max relations in full relation-set: 28
Initial matrix: 268444 x 372028 with sparse part having weight 44790153.
Pruned matrix : 239391 x 240797 with weight 28079612.
Total sieving time: 22.68 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.91 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,1790000,1790000,26,26,49,49,2.3,2.3,100000
total time: 23.85 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 28, 2009 09:00:00 UTC 2009 年 10 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)

62×10145-539

c119

name 名前Sinkiti Sibata
date 日付November 2, 2009 11:14:47 UTC 2009 年 11 月 2 日 (月) 20 時 14 分 47 秒 (日本時間)
composite number 合成数
95541354443893219554761713158295632329924591379995392706939600940086281817187950677547878289330951136062210113426009999<119>
prime factors 素因数
20277487323458673341622013549649441909<38>
4711695927599623445659927588915785695966831005489230458903957349220464530717361011<82>
factorization results 素因数分解の結果
Number: 68883_145
N=95541354443893219554761713158295632329924591379995392706939600940086281817187950677547878289330951136062210113426009999
  ( 119 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=20277487323458673341622013549649441909 (pp38)
 r2=4711695927599623445659927588915785695966831005489230458903957349220464530717361011 (pp82)
Version: Msieve-1.40
Total time: 12.36 hours.
Scaled time: 25.94 units (timescale=2.099).
Factorization parameters were as follows:
name: 68883_145
n: 95541354443893219554761713158295632329924591379995392706939600940086281817187950677547878289330951136062210113426009999
m: 100000000000000000000000000000
deg: 5
c5: 62
c0: -53
skew: 0.97
type: snfs
lss: 1
rlim: 1960000
alim: 1960000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1960000/1960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [980000, 2480001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 360185 x 360433
Total sieving time: 11.70 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.45 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1960000,1960000,26,26,49,49,2.3,2.3,100000
total time: 12.36 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 KamadaOctober 28, 2009 09:00:00 UTC 2009 年 10 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)

62×10146-539

c112

name 名前Jo Yeong Uk
date 日付November 4, 2009 05:21:32 UTC 2009 年 11 月 4 日 (水) 14 時 21 分 32 秒 (日本時間)
composite number 合成数
9626486798508338321166672386969836655287169461778109422543113922006059190158733271959627346684232163256318949663<112>
prime factors 素因数
7988310259462790706409802227377510746398133<43>
1205071721783088836806307130889214158089504203258137865788043317649411<70>
factorization results 素因数分解の結果
Number: 68883_146
N=9626486798508338321166672386969836655287169461778109422543113922006059190158733271959627346684232163256318949663
  ( 112 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=7988310259462790706409802227377510746398133
 r2=1205071721783088836806307130889214158089504203258137865788043317649411
Version: 
Total time: 6.61 hours.
Scaled time: 15.77 units (timescale=2.387).
Factorization parameters were as follows:
n: 9626486798508338321166672386969836655287169461778109422543113922006059190158733271959627346684232163256318949663
m: 100000000000000000000000000000
deg: 5
c5: 620
c0: -53
skew: 0.61
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1350000, 1950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 6538304
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 327576 x 327824
Total sieving time: 6.03 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,49,49,2.3,2.3,75000
total time: 6.61 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 28, 2009 09:00:00 UTC 2009 年 10 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)
786Jo Yeong UkNovember 3, 2009 10:07:18 UTC 2009 年 11 月 3 日 (火) 19 時 7 分 18 秒 (日本時間)

62×10148-539

c96

name 名前Sinkiti Sibata
date 日付October 29, 2009 22:03:59 UTC 2009 年 10 月 30 日 (金) 7 時 3 分 59 秒 (日本時間)
composite number 合成数
173749119612200540250170808346984527455185833744652662545780871322071342123571560550077923973739<96>
prime factors 素因数
15649311336687670483003413809050773543817<41>
11102668729253886618598862637858746443379270194714314067<56>
factorization results 素因数分解の結果
Number: 68883_148
N=173749119612200540250170808346984527455185833744652662545780871322071342123571560550077923973739
  ( 96 digits)
Divisors found:
 r1=15649311336687670483003413809050773543817 (pp41)
 r2=11102668729253886618598862637858746443379270194714314067 (pp56)
Version: Msieve-1.40
Total time: 7.06 hours.
Scaled time: 14.35 units (timescale=2.032).
Factorization parameters were as follows:
name: 68883_148
n:  173749119612200540250170808346984527455185833744652662545780871322071342123571560550077923973739
m:  6500700344411699054074
deg: 4
c4: 97293096
c3: -223649123332
c2: -642136958186635483
c1: 738328517650567800
c0: 471523111539404624724519
skew: 1635.250
type: gnfs
# adj. I(F,S) = 55.605
# E(F1,F2) = 2.998325e-05
# GGNFS version 0.77.1-20060722-pentium4 polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1256814568.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 179842 x 180070
Polynomial selection time: 0.17 hours.
Total sieving time: 6.60 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
gnfs,95,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 7.06 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 KamadaOctober 28, 2009 09:00:00 UTC 2009 年 10 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)

62×10150-539

c137

name 名前Dmitry Domanov
date 日付November 3, 2009 17:39:32 UTC 2009 年 11 月 4 日 (水) 2 時 39 分 32 秒 (日本時間)
composite number 合成数
25790732013571089390629829637694401439543992384512237925102922325233751728027886870816186678957658224553701159626991355378692243745754533<137>
prime factors 素因数
661875852763457366391885680418340090691973432419556589889316841<63>
38966117144008027984903360062825590816642015961644316334865082860882091613<74>
factorization results 素因数分解の結果
Number: 137-1
N=25790732013571089390629829637694401439543992384512237925102922325233751728027886870816186678957658224553701159626991355378692243745754533
  ( 137 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=661875852763457366391885680418340090691973432419556589889316841 (pp63)
 r2=38966117144008027984903360062825590816642015961644316334865082860882091613 (pp74)
Version: Msieve-1.40
Total time: 14.57 hours.
Scaled time: 27.09 units (timescale=1.860).
Factorization parameters were as follows:
n: 25790732013571089390629829637694401439543992384512237925102922325233751728027886870816186678957658224553701159626991355378692243745754533
m: 1000000000000000000000000000000
deg: 5
c5: 62
c0: -53
skew: 0.97
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 2100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 416838 x 417064
Total sieving time: 14.21 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 14.57 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 KamadaOctober 28, 2009 09:00:00 UTC 2009 年 10 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)

62×10153-539

c136

name 名前Dmitry Domanov
date 日付December 26, 2009 18:18:59 UTC 2009 年 12 月 27 日 (日) 3 時 18 分 59 秒 (日本時間)
composite number 合成数
5216580886553157179266336194939601662516617965583607797830691218065927043923999858324138677299551882803062017504735600577449123167984689<136>
prime factors 素因数
47815697752352098457986363218128078130226492291799893<53>
109097663147591498526380294134197245187003896362469052701235847091686578792333022573<84>
factorization results 素因数分解の結果
N=5216580886553157179266336194939601662516617965583607797830691218065927043923999858324138677299551882803062017504735600577449123167984689
  ( 136 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=47815697752352098457986363218128078130226492291799893 (pp53)
 r2=109097663147591498526380294134197245187003896362469052701235847091686578792333022573 (pp84)
Version: Msieve-1.40
Total time: 20.98 hours.
Scaled time: 38.93 units (timescale=1.855).
Factorization parameters were as follows:
n: 5216580886553157179266336194939601662516617965583607797830691218065927043923999858324138677299551882803062017504735600577449123167984689
m: 1000000000000000000000000000000
deg: 5
c5: 62000
c0: -53
skew: 0.24
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1350000, 2650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 543748 x 543975
Total sieving time: 20.36 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.36 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,154.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 20.98 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 KamadaDecember 25, 2009 06:00:00 UTC 2009 年 12 月 25 日 (金) 15 時 0 分 0 秒 (日本時間)

62×10154-539

c116

name 名前Robert Backstrom
date 日付December 27, 2009 00:24:21 UTC 2009 年 12 月 27 日 (日) 9 時 24 分 21 秒 (日本時間)
composite number 合成数
73706035765178311721843203682271976549090303768877381733915205101899361643335375393433365408866574563129973347592953<116>
prime factors 素因数
720951878610382542862347981801121436850590767518884611777<57>
102234334845267243275213765013617623444440744591194671442489<60>
factorization results 素因数分解の結果
Number: n
N=73706035765178311721843203682271976549090303768877381733915205101899361643335375393433365408866574563129973347592953
  ( 116 digits)
Divisors found:
 r1=720951878610382542862347981801121436850590767518884611777 (pp57)
 r2=102234334845267243275213765013617623444440744591194671442489 (pp60)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 25.02 hours.
Scaled time: 45.76 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_6_8_153_3
n: 73706035765178311721843203682271976549090303768877381733915205101899361643335375393433365408866574563129973347592953
Y0: -36882076435815646343086
Y1:  1177126619933
c0:  722179055622719498049770419635
c1:  12974758915145902336777681
c2:  3315676937663850719
c3: -388879982959281
c4:  193270566
c5:  1080
skew: 300296.60
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 50000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [2250000, 3200001)
Primes: RFBsize:315948, AFBsize:316070, largePrimes:9281020 encountered
Relations: rels:9124074, finalFF:821552
Max relations in full relation-set: 48
Initial matrix: 632099 x 821552 with sparse part having weight 81612006.
Pruned matrix : 469228 x 472452 with weight 39927825.
Total sieving time: 21.93 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 2.46 hours.
Total square root time: 0.21 hours, sqrts: 1.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,28,28,56,56,2.4,2.4,60000
total time: 25.02 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 25, 2009 06:00:00 UTC 2009 年 12 月 25 日 (金) 15 時 0 分 0 秒 (日本時間)

62×10156-539

c147

name 名前Dmitry Domanov
date 日付December 26, 2009 22:05:37 UTC 2009 年 12 月 27 日 (日) 7 時 5 分 37 秒 (日本時間)
composite number 合成数
118324325232403481461848194651933546395362047639327777783779588329505585659637347051183152187156073511947777164282926783552707472321495695098960619<147>
prime factors 素因数
296092480355417714661032125185595033281118861<45>
20758746508962225695125662243311466530433706035881<50>
19250655970989913827479711758654941345071207658101759<53>
factorization results 素因数分解の結果
N=118324325232403481461848194651933546395362047639327777783779588329505585659637347051183152187156073511947777164282926783552707472321495695098960619
  ( 147 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=296092480355417714661032125185595033281118861 (pp45)
 r2=20758746508962225695125662243311466530433706035881 (pp50)
 r3=19250655970989913827479711758654941345071207658101759 (pp53)
Version: Msieve-1.40
Total time: 19.06 hours.
Scaled time: 35.45 units (timescale=1.860).
Factorization parameters were as follows:
n: 118324325232403481461848194651933546395362047639327777783779588329505585659637347051183152187156073511947777164282926783552707472321495695098960619
m: 10000000000000000000000000000000
deg: 5
c5: 620
c0: -53
skew: 0.61
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor 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, 2600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 543425 x 543651
Total sieving time: 18.43 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.37 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 19.06 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 KamadaDecember 25, 2009 06:00:00 UTC 2009 年 12 月 25 日 (金) 15 時 0 分 0 秒 (日本時間)

62×10160-539

c150

name 名前Dmitry Domanov
date 日付December 26, 2009 22:07:33 UTC 2009 年 12 月 27 日 (日) 7 時 7 分 33 秒 (日本時間)
composite number 合成数
187384270907771063333728440077318565961035336376917852099045312850421888141782541628479746273647356028707209272617957631716937170730104800242449591351<150>
prime factors 素因数
2929674531395509720008490951855848061<37>
63960780933066026225889687195304074812081561846826503281813538817936673009349384729463814205722125431075503229891<113>
factorization results 素因数分解の結果
N=187384270907771063333728440077318565961035336376917852099045312850421888141782541628479746273647356028707209272617957631716937170730104800242449591351
  ( 150 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=2929674531395509720008490951855848061 (pp37)
 r2=63960780933066026225889687195304074812081561846826503281813538817936673009349384729463814205722125431075503229891 (pp113)
Version: Msieve-1.40
Total time: 41.96 hours.
Scaled time: 39.10 units (timescale=0.932).
Factorization parameters were as follows:
n: 187384270907771063333728440077318565961035336376917852099045312850421888141782541628479746273647356028707209272617957631716937170730104800242449591351
m: 100000000000000000000000000000000
deg: 5
c5: 62
c0: -53
skew: 0.97
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 3450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 768947 x 769180
Total sieving time: 40.53 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.19 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 41.96 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 25, 2009 06:00:00 UTC 2009 年 12 月 25 日 (金) 15 時 0 分 0 秒 (日本時間)

62×10161-539

c120

name 名前Sinkiti Sibata
date 日付December 27, 2009 06:04:32 UTC 2009 年 12 月 27 日 (日) 15 時 4 分 32 秒 (日本時間)
composite number 合成数
350543077758640963295488151903925902635545192222483092013586934585860075590002114231556808952263151226072780805347729949<120>
prime factors 素因数
11960866514737977396638783337798921138905588800243622081<56>
29307498526691833945064051908979105022980074012255518963162561629<65>
factorization results 素因数分解の結果
Number: 68883_161
N=350543077758640963295488151903925902635545192222483092013586934585860075590002114231556808952263151226072780805347729949
  ( 120 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=11960866514737977396638783337798921138905588800243622081 (pp56)
 r2=29307498526691833945064051908979105022980074012255518963162561629 (pp65)
Version: Msieve v. 1.42
Total time: 1.58 hours.
Scaled time: 1.25 units (timescale=0.795).
Factorization parameters were as follows:
name: 68883_161
n: 350543077758640963295488151903925902635545192222483092013586934585860075590002114231556808952263151226072780805347729949
m: 100000000000000000000000000000000
deg: 5
c5: 620
c0: -53
skew: 0.61
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 3300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 690612 x 690837
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.38 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,162.000,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 1.58 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.30 BogoMIPS (lpj=1860651)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860572)
Total of 2 processors activated (7442.44 BogoMIPS).

Total time: 24 hours 46 min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 25, 2009 06:00:00 UTC 2009 年 12 月 25 日 (金) 15 時 0 分 0 秒 (日本時間)

62×10162-539

c153

name 名前Dmitry Domanov
date 日付December 28, 2009 18:06:23 UTC 2009 年 12 月 29 日 (火) 3 時 6 分 23 秒 (日本時間)
composite number 合成数
151035228244501271405709711229228219642300363176919338832977720594887380840414989747469596084991981210536603156199791655131133387339263477553460289188537<153>
prime factors 素因数
175272982010623343239142643114028008357154746833<48>
861714261444738727799575807339674929308162554957775684179834721627582712649671488802043744845370581238889<105>
factorization results 素因数分解の結果
32N=151035228244501271405709711229228219642300363176919338832977720594887380840414989747469596084991981210536603156199791655131133387339263477553460289188537
  ( 153 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=175272982010623343239142643114028008357154746833 (pp48)
 r2=861714261444738727799575807339674929308162554957775684179834721627582712649671488802043744845370581238889 (pp105)
Version: Msieve-1.40
Total time: 61.54 hours.
Scaled time: 57.23 units (timescale=0.930).
Factorization parameters were as follows:
n: 151035228244501271405709711229228219642300363176919338832977720594887380840414989747469596084991981210536603156199791655131133387339263477553460289188537
m: 100000000000000000000000000000000
deg: 5
c5: 6200
c0: -53
skew: 0.39
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 4500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 847888 x 848114
Total sieving time: 59.62 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.44 hours.
Time per square root: 0.35 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 61.54 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 KamadaDecember 25, 2009 06:00:00 UTC 2009 年 12 月 25 日 (金) 15 時 0 分 0 秒 (日本時間)

62×10163-539

c117

name 名前Sinkiti Sibata
date 日付December 28, 2009 05:34:11 UTC 2009 年 12 月 28 日 (月) 14 時 34 分 11 秒 (日本時間)
composite number 合成数
909707253660275080410856287527876273965559685342037034012835876605972475550995403925197649241957057615214146879842761<117>
prime factors 素因数
421359634148449679503611987525809228247095227<45>
2158980547576076331195633807409370919273961035961813522980909861195924043<73>
factorization results 素因数分解の結果
Number: 68883_163
N=909707253660275080410856287527876273965559685342037034012835876605972475550995403925197649241957057615214146879842761
  ( 117 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=421359634148449679503611987525809228247095227 (pp45)
 r2=2158980547576076331195633807409370919273961035961813522980909861195924043 (pp73)
Version: Msieve-1.40
Total time: 48.74 hours.
Scaled time: 162.44 units (timescale=3.333).
Factorization parameters were as follows:
name: 68883_163
n: 909707253660275080410856287527876273965559685342037034012835876605972475550995403925197649241957057615214146879842761
m: 100000000000000000000000000000000
deg: 5
c5: 62000
c0: -53
skew: 0.24
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 4650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 804180 x 804428
Total sieving time: 47.34 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.22 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 48.74 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 25, 2009 06:00:00 UTC 2009 年 12 月 25 日 (金) 15 時 0 分 0 秒 (日本時間)

62×10164-539

c134

name 名前Sinkiti Sibata
date 日付December 29, 2009 04:28:04 UTC 2009 年 12 月 29 日 (火) 13 時 28 分 4 秒 (日本時間)
composite number 合成数
13838417011183814061785070452268197098245711134368898761255477932972270391781785665803280856847851459524653555780906202184164322614983<134>
prime factors 素因数
14405634451650799883013270136121502812538572067316870435141<59>
960625306551355252396433427445539024827607900530267787643549237643417707163<75>
factorization results 素因数分解の結果
Number: 68883_164
N=13838417011183814061785070452268197098245711134368898761255477932972270391781785665803280856847851459524653555780906202184164322614983
  ( 134 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=14405634451650799883013270136121502812538572067316870435141 (pp59)
 r2=960625306551355252396433427445539024827607900530267787643549237643417707163 (pp75)
Version: Msieve v. 1.42
Total time: 2.35 hours.
Scaled time: 1.87 units (timescale=0.796).
Factorization parameters were as follows:
name: 68883_164
n: 13838417011183814061785070452268197098245711134368898761255477932972270391781785665803280856847851459524653555780906202184164322614983
m: 200000000000000000000000000000000
deg: 5
c5: 19375
c0: -53
skew: 0.31
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, 4850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 843861 x 844087
Total sieving time: 0.00 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 2.09 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 2.35 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.30 BogoMIPS (lpj=1860651)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860572)
Total of 2 processors activated (7442.44 BogoMIPS).

Total time: 45 hours 33 min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 25, 2009 06:00:00 UTC 2009 年 12 月 25 日 (金) 15 時 0 分 0 秒 (日本時間)

62×10165-539

c129

name 名前Sinkiti Sibata
date 日付January 19, 2010 05:55:52 UTC 2010 年 1 月 19 日 (火) 14 時 55 分 52 秒 (日本時間)
composite number 合成数
878868810175486009358419029942474535244076048608852417652536154630587972838034167003202609577826423637598541045101683067739943963<129>
prime factors 素因数
80810031805635305016954254596961635449067010224362111397<56>
10875738946488051043066043397230534340610408749309092430572368264539058879<74>
factorization results 素因数分解の結果
Number: 68883_165
N=878868810175486009358419029942474535244076048608852417652536154630587972838034167003202609577826423637598541045101683067739943963
  ( 129 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=80810031805635305016954254596961635449067010224362111397 (pp56)
 r2=10875738946488051043066043397230534340610408749309092430572368264539058879 (pp74)
Version: Msieve-1.40
Total time: 50.65 hours.
Scaled time: 151.65 units (timescale=2.994).
Factorization parameters were as follows:
name: 68883_165
n: 878868810175486009358419029942474535244076048608852417652536154630587972838034167003202609577826423637598541045101683067739943963
m: 1000000000000000000000000000000000
deg: 5
c5: 62
c0: -53
skew: 0.97
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 840053 x 840301
Total sieving time: 49.10 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.39 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 50.65 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 25, 2009 06:00:00 UTC 2009 年 12 月 25 日 (金) 15 時 0 分 0 秒 (日本時間)

62×10169-539

c159

name 名前Dmitry Domanov
date 日付December 27, 2009 14:30:59 UTC 2009 年 12 月 27 日 (日) 23 時 30 分 59 秒 (日本時間)
composite number 合成数
248948493442257142683928751621912829309459505384922441830057514377894366183213675105899542351187849850875664732974936041147563855368202345946081094604866632717<159>
prime factors 素因数
33706548729056745629121167503<29>
1526568046346414834239657673989825139<37>
4838146872015767768001030987421981831864644663863774917922618347544565075277396770748172624401<94>
factorization results 素因数分解の結果
N=248948493442257142683928751621912829309459505384922441830057514377894366183213675105899542351187849850875664732974936041147563855368202345946081094604866632717
  ( 159 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=33706548729056745629121167503 (pp29)
 r2=1526568046346414834239657673989825139 (pp37)
 r3=4838146872015767768001030987421981831864644663863774917922618347544565075277396770748172624401 (pp94)
Version: Msieve-1.40
Total time: 69.31 hours.
Scaled time: 129.34 units (timescale=1.866).
Factorization parameters were as follows:
n: 248948493442257142683928751621912829309459505384922441830057514377894366183213675105899542351187849850875664732974936041147563855368202345946081094604866632717
m: 2000000000000000000000000000000000
deg: 5
c5: 19375
c0: -53
skew: 0.31
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2450000, 6250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1070817 x 1071042
Total sieving time: 67.45 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.45 hours.
Time per square root: 0.31 hours.
Prototype def-par.txt line would be:
snfs,170.000,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 69.31 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 KamadaDecember 25, 2009 06:00:00 UTC 2009 年 12 月 25 日 (金) 15 時 0 分 0 秒 (日本時間)

62×10171-539

c163

name 名前Wataru Sakai
date 日付December 28, 2009 02:58:48 UTC 2009 年 12 月 28 日 (月) 11 時 58 分 48 秒 (日本時間)
composite number 合成数
4726409823803665806798321966467503783965039004503821763891711041535354947510539718381943153653345416805604343253928124407425653661710590450612984514323235136222353<163>
prime factors 素因数
1686813797826990853301624742922031<34>
2801974841498440886713853217405816697767288924251102822978976415316512634872870114314753957537146240630772194781600409525135462463<130>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2427329313
Step 1 took 52293ms
Step 2 took 17955ms
********** Factor found in step 2: 1686813797826990853301624742922031
Found probable prime factor of 34 digits: 1686813797826990853301624742922031
Probable prime cofactor 2801974841498440886713853217405816697767288924251102822978976415316512634872870114314753957537146240630772194781600409525135462463 has 130 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 KamadaDecember 25, 2009 06:00:00 UTC 2009 年 12 月 25 日 (金) 15 時 0 分 0 秒 (日本時間)

62×10172-539

c163

name 名前Ignacio Santos
date 日付March 16, 2010 12:12:54 UTC 2010 年 3 月 16 日 (火) 21 時 12 分 54 秒 (日本時間)
composite number 合成数
2531401072319931816920508531557816600837577902227132180656542183371605671682597197154921541313332956289554395487519944221742795820758867927274813502943237915814599<163>
prime factors 素因数
3417301796234040167791177556673613091709653<43>
869804199332915910684758080184966508596531687823610061<54>
851640144200094946892761292551419006555815189350577103252654175703<66>
factorization results 素因数分解の結果
Number: 3
N=2531401072319931816920508531557816600837577902227132180656542183371605671682597197154921541313332956289554395487519944221742795820758867927274813502943237915814599
  ( 163 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=3417301796234040167791177556673613091709653 (pp43)
 r2=869804199332915910684758080184966508596531687823610061 (pp54)
 r3=851640144200094946892761292551419006555815189350577103252654175703 (pp66)
Version: Msieve-1.40
Total time: 105.05 hours.
Scaled time: 182.68 units (timescale=1.739).
Factorization parameters were as follows:
n: 2531401072319931816920508531557816600837577902227132180656542183371605671682597197154921541313332956289554395487519944221742795820758867927274813502943237915814599
m: 10000000000000000000000000000000000
deg: 5
c5: 6200
c0: -53
skew: 0.39
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2750000, 8450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1229538 x 1229763
Total sieving time: 101.80 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.09 hours.
Time per square root: 1.03 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 105.05 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
351e6118Makoto KamadaDecember 25, 2009 06:00:00 UTC 2009 年 12 月 25 日 (金) 15 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJanuary 13, 2010 08:04:17 UTC 2010 年 1 月 13 日 (水) 17 時 4 分 17 秒 (日本時間)

62×10173-539

c146

name 名前Warut Roonguthai
date 日付April 3, 2012 06:57:51 UTC 2012 年 4 月 3 日 (火) 15 時 57 分 51 秒 (日本時間)
composite number 合成数
12389280229544056210577735329356472476608809123368437993624661424124659705148226612193117443220169713390797891453625110908301590720388809691497641<146>
prime factors 素因数
593388075577884140776354973541904582399593961372421<51>
20878883043745833319068077615431779953250859230076798475030837289789183130815753223854749940821<95>
factorization results 素因数分解の結果
N = 12389280229544056210577735329356472476608809123368437993624661424124659705148226612193117443220169713390797891453625110908301590720388809691497641 (146 digits)
SNFS difficulty: 176 digits.
Divisors found:
r1=593388075577884140776354973541904582399593961372421 (pp51)
r2=20878883043745833319068077615431779953250859230076798475030837289789183130815753223854749940821 (pp95)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 18.78 hours.
Factorization parameters were as follows:
name: (62*10^173-53)/9
n: 12389280229544056210577735329356472476608809123368437993624661424124659705148226612193117443220169713390797891453625110908301590720388809691497641
Y0: 100000000000000000000000000000
Y1: -1
c0: -265
c1: 0
c2: 0
c3: 0
c4: 0
c5: 0
c6: 31
skew: 1.43
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19646529
Relations: 2192876 relations
Pruned matrix : 1225799 x 1226030
Polynomial selection time: 0.00 hours.
Total sieving time: 17.20 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.39 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: snfs,176,6,0,0,0,0,0,0,0,0,6000000,6000000,28,28,55,55,2.5,2.5,100000
total time: 18.78 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 25, 2009 06:00:00 UTC 2009 年 12 月 25 日 (金) 15 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiMarch 2, 2010 05:34:11 UTC 2010 年 3 月 2 日 (火) 14 時 34 分 11 秒 (日本時間)
4511e6600 / 2735Rich DickersonFebruary 6, 2012 19:49:15 UTC 2012 年 2 月 7 日 (火) 4 時 49 分 15 秒 (日本時間)
5043e6350 / 7330Rich DickersonFebruary 7, 2012 10:28:53 UTC 2012 年 2 月 7 日 (火) 19 時 28 分 53 秒 (日本時間)

62×10174-539

c158

name 名前Wataru Sakai
date 日付December 3, 2010 02:59:06 UTC 2010 年 12 月 3 日 (金) 11 時 59 分 6 秒 (日本時間)
composite number 合成数
55707726151755548211544615333957710856857396512455659033972309821642194719294153609132373637409090992164709050884938636070601848899125566210865899116839525141<158>
prime factors 素因数
49053522751818263891277788647754272963035957532615741269983080900466591256913<77>
1135651896676281692220708006381685243534169942647111263412366826028565134971034757<82>
factorization results 素因数分解の結果
Number: 68883_174
N=55707726151755548211544615333957710856857396512455659033972309821642194719294153609132373637409090992164709050884938636070601848899125566210865899116839525141
  ( 158 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=49053522751818263891277788647754272963035957532615741269983080900466591256913
 r2=1135651896676281692220708006381685243534169942647111263412366826028565134971034757
Version: 
Total time: 166.90 hours.
Scaled time: 336.14 units (timescale=2.014).
Factorization parameters were as follows:
n: 55707726151755548211544615333957710856857396512455659033972309821642194719294153609132373637409090992164709050884938636070601848899125566210865899116839525141
m: 20000000000000000000000000000000000
deg: 5
c5: 19375
c0: -53
skew: 0.31
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [3000000, 8700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1117209 x 1117457
Total sieving time: 166.90 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,175,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,52,52,2.5,2.5,100000
total time: 166.90 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 25, 2009 06:00:00 UTC 2009 年 12 月 25 日 (金) 15 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 7, 2010 21:31:01 UTC 2010 年 6 月 8 日 (火) 6 時 31 分 1 秒 (日本時間)
403e62126110Ignacio SantosJune 7, 2010 21:31:01 UTC 2010 年 6 月 8 日 (火) 6 時 31 分 1 秒 (日本時間)
2016Wataru SakaiJune 10, 2010 03:40:03 UTC 2010 年 6 月 10 日 (木) 12 時 40 分 3 秒 (日本時間)
4511e632 / 3991Ignacio SantosJune 7, 2010 21:31:01 UTC 2010 年 6 月 8 日 (火) 6 時 31 分 1 秒 (日本時間)

62×10175-539

c154

name 名前Rich Dickerson
date 日付February 6, 2011 16:08:20 UTC 2011 年 2 月 7 日 (月) 1 時 8 分 20 秒 (日本時間)
composite number 合成数
1361593236646417497841156025967489627479122662697069103494480505081980966351715395777521269219045951180068426851480492498036237942017180001742503030400603<154>
prime factors 素因数
2471026921951254263530660746966514677507943<43>
551023230281615495491937700494515453769661993790489678724961033344676296545497737190106230633593240048300176621<111>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1940429908
Step 1 took 101829ms
Step 2 took 54426ms
********** Factor found in step 2: 2471026921951254263530660746966514677507943
Found probable prime factor of 43 digits: 2471026921951254263530660746966514677507943
Probable prime cofactor 551023230281615495491937700494515453769661993790489678724961033344676296545497737190106230633593240048300176621 has 111 digits
software ソフトウェア
GMP-ECM 6.3 [config GMP 5.0.1] [ECM]
execution environment 実行環境
PPC-G5, 2.5 GHz, Mac OS X

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 624Makoto KamadaDecember 25, 2009 06:00:00 UTC 2009 年 12 月 25 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6100 / 2318Rich DickersonFebruary 5, 2011 17:29:35 UTC 2011 年 2 月 6 日 (日) 2 時 29 分 35 秒 (日本時間)

62×10178-539

c127

name 名前Warut Roonguthai
date 日付December 20, 2011 17:43:52 UTC 2011 年 12 月 21 日 (水) 2 時 43 分 52 秒 (日本時間)
composite number 合成数
3062381113271561516321169128666109703980525410695297264008805668818644504526992428750511501289002089822083409764813615458317547<127>
prime factors 素因数
47901112739302581248782367179548774690040283732294382227<56>
63931314705324075400313085309685865468340845967529011190422151201977161<71>
factorization results 素因数分解の結果
N = 3062381113271561516321169128666109703980525410695297264008805668818644504526992428750511501289002089822083409764813615458317547 (127 digits)
Divisors found:
r1=47901112739302581248782367179548774690040283732294382227 (pp56)
r2=63931314705324075400313085309685865468340845967529011190422151201977161 (pp71)
Version: Msieve v. 1.48
Total time: 30.25 hours.
Factorization parameters were as follows:
n: 3062381113271561516321169128666109703980525410695297264008805668818644504526992428750511501289002089822083409764813615458317547
Y0: -3816948103669031081727963
Y1: 37371077885819
c0: 544531961622970876377054283700
c1: -12893803236366156425169420
c2: -131219489843247516199
c3: 405102940966090
c4: -12301537326
c5: 3780
skew: 180957.68 
type: gnfs
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 18753226
Relations: 2203866 relations
Pruned matrix : 1226191 x 1226416
Polynomial selection time: 0.00 hours.
Total sieving time: 28.18 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.85 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: gnfs,126,5,65,2000,1e-05,0.28,250,20,50000,3600,6100000,6100000,28,28,55,55,2.5,2.5,100000
total time: 30.25 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 25, 2009 06:00:00 UTC 2009 年 12 月 25 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6870100Rich DickersonFebruary 5, 2011 17:28:05 UTC 2011 年 2 月 6 日 (日) 2 時 28 分 5 秒 (日本時間)
770Ignacio SantosJune 22, 2011 11:16:30 UTC 2011 年 6 月 22 日 (水) 20 時 16 分 30 秒 (日本時間)
4511e6820 / 4069600Rich DickersonFebruary 6, 2011 17:07:18 UTC 2011 年 2 月 7 日 (月) 2 時 7 分 18 秒 (日本時間)
220Ignacio SantosJune 22, 2011 11:16:30 UTC 2011 年 6 月 22 日 (水) 20 時 16 分 30 秒 (日本時間)
5043e661 / 7336Ignacio SantosJune 22, 2011 11:16:30 UTC 2011 年 6 月 22 日 (水) 20 時 16 分 30 秒 (日本時間)

62×10179-539

c133

name 名前Robert Backstrom
date 日付April 18, 2012 09:11:57 UTC 2012 年 4 月 18 日 (水) 18 時 11 分 57 秒 (日本時間)
composite number 合成数
1360334864527114687474807977151197663339124082823579390288381706849461603267611657413647430505074546922988294000257117614008396853489<133>
prime factors 素因数
5747735405665465892945286017394843179821<40>
236673188398034260733563152095144030859919782383090121430304701016298689664192436623168993109<93>
factorization results 素因数分解の結果
Number: n
N=1360334864527114687474807977151197663339124082823579390288381706849461603267611657413647430505074546922988294000257117614008396853489
  ( 133 digits)
Divisors found:

Wed Apr 18 19:00:25 2012  prp40 factor: 5747735405665465892945286017394843179821
Wed Apr 18 19:00:25 2012  prp93 factor: 236673188398034260733563152095144030859919782383090121430304701016298689664192436623168993109
Wed Apr 18 19:00:25 2012  elapsed time 02:13:53 (Msieve 1.44 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.294).
Factorization parameters were as follows:
name: KA_68883_179
n: 1360334864527114687474807977151197663339124082823579390288381706849461603267611657413647430505074546922988294000257117614008396853489
skew: 115432.05
# norm 7.68e+17
c5: 125100
c4: -170555829978
c3: -590129806858804
c2: 2466327623913580780567
c1: -98027333026686931813962644
c0: 17695705978501994486924027240
# alpha -5.93
Y1: 1010466525051329
Y0: -25543616687120785781681799
# Murphy_E 6.15e-11
# M 76898599801542011949137888774806758111417792674166337214104257491550244450520983622798719056226312466301028685385988510756047252989
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, 15720000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 2378946 hash collisions in 11909151 relations
Msieve: matrix is 1117519 x 1117744 (323.5 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
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
351e6418118Makoto KamadaDecember 25, 2009 06:00:00 UTC 2009 年 12 月 25 日 (金) 15 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 19, 2011 06:30:06 UTC 2011 年 5 月 19 日 (木) 15 時 30 分 6 秒 (日本時間)
403e6980100Rich DickersonFebruary 6, 2011 17:17:05 UTC 2011 年 2 月 7 日 (月) 2 時 17 分 5 秒 (日本時間)
110Ignacio SantosMay 19, 2011 06:30:06 UTC 2011 年 5 月 19 日 (木) 15 時 30 分 6 秒 (日本時間)
770Ignacio SantosJuly 11, 2011 14:05:14 UTC 2011 年 7 月 11 日 (月) 23 時 5 分 14 秒 (日本時間)
4511e6252 / 403132Ignacio SantosMay 19, 2011 06:30:06 UTC 2011 年 5 月 19 日 (木) 15 時 30 分 6 秒 (日本時間)
220Ignacio SantosJuly 11, 2011 14:05:14 UTC 2011 年 7 月 11 日 (月) 23 時 5 分 14 秒 (日本時間)
5043e661 / 7457Ignacio SantosJuly 11, 2011 14:05:14 UTC 2011 年 7 月 11 日 (月) 23 時 5 分 14 秒 (日本時間)

62×10180-539

c156

name 名前Dmitry Domanov
date 日付May 23, 2013 08:21:07 UTC 2013 年 5 月 23 日 (木) 17 時 21 分 7 秒 (日本時間)
composite number 合成数
143655388546144398321852019985558407170321017260871645167492426361194255002898232191608776269799911517833179502092420518151215908756240339556838360072359459<156>
prime factors 素因数
336030856027979741049761739370872703164416295832922579<54>
427506539858300619986925018940559623074918717458820038520936393106386152478935709962052543851988420721<102>
factorization results 素因数分解の結果
N=143655388546144398321852019985558407170321017260871645167492426361194255002898232191608776269799911517833179502092420518151215908756240339556838360072359459
  ( 156 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=336030856027979741049761739370872703164416295832922579 (pp54)
 r2=427506539858300619986925018940559623074918717458820038520936393106386152478935709962052543851988420721 (pp102)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 220.58 hours.
Scaled time: 424.61 units (timescale=1.925).
Factorization parameters were as follows:
n: 143655388546144398321852019985558407170321017260871645167492426361194255002898232191608776269799911517833179502092420518151215908756240339556838360072359459
m: 1000000000000000000000000000000000000
deg: 5
c5: 62
c0: -53
skew: 0.97
# Murphy_E = 7.361e-11
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3750000, 11350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1644829 x 1645056
Total sieving time: 214.77 hours.
Total relation processing time: 0.42 hours.
Matrix solve time: 5.09 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 220.58 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 25, 2009 06:00:00 UTC 2009 年 12 月 25 日 (金) 15 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 19, 2011 06:30:35 UTC 2011 年 5 月 19 日 (木) 15 時 30 分 35 秒 (日本時間)
403e6110Ignacio SantosMay 19, 2011 06:30:35 UTC 2011 年 5 月 19 日 (木) 15 時 30 分 35 秒 (日本時間)
4511e6632 / 443732Ignacio SantosMay 19, 2011 06:30:35 UTC 2011 年 5 月 19 日 (木) 15 時 30 分 35 秒 (日本時間)
600Rich DickersonJune 11, 2012 22:45:32 UTC 2012 年 6 月 12 日 (火) 7 時 45 分 32 秒 (日本時間)

62×10184-539

c177

name 名前Wataru Sakai
date 日付July 1, 2010 05:06:55 UTC 2010 年 7 月 1 日 (木) 14 時 6 分 55 秒 (日本時間)
composite number 合成数
707662997133840449887482325360474428139329708434638572874843819204554535485597201534350801374641763727297895691143078143402251913547281612297095512622988361923871479802756471329<177>
prime factors 素因数
122606706017447033708937747330104177<36>
composite cofactor 合成数の残り
5771813142367102101502617562543158707992306506045345341723835884798094371840110390166578203101816798667629760018485303677692252686890515616177<142>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=905967735
Step 1 took 18215ms
Step 2 took 6961ms
********** Factor found in step 2: 122606706017447033708937747330104177
Found probable prime factor of 36 digits: 122606706017447033708937747330104177
Composite cofactor 5771813142367102101502617562543158707992306506045345341723835884798094371840110390166578203101816798667629760018485303677692252686890515616177 has 142 digits
software ソフトウェア
GMP-ECM 6.2.1

c142

name 名前Dmitry Domanov
date 日付June 13, 2013 13:05:52 UTC 2013 年 6 月 13 日 (木) 22 時 5 分 52 秒 (日本時間)
composite number 合成数
5771813142367102101502617562543158707992306506045345341723835884798094371840110390166578203101816798667629760018485303677692252686890515616177<142>
prime factors 素因数
452239781863077345700586275489211750013894748347086150865189446399<66>
12762727592404970333978871736722599476863371149164083135062680690761808051023<77>
factorization results 素因数分解の結果
N=5771813142367102101502617562543158707992306506045345341723835884798094371840110390166578203101816798667629760018485303677692252686890515616177
  ( 142 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=452239781863077345700586275489211750013894748347086150865189446399 (pp66)
 r2=12762727592404970333978871736722599476863371149164083135062680690761808051023 (pp77)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 216.86 hours.
Scaled time: 417.45 units (timescale=1.925).
Factorization parameters were as follows:
n: 5771813142367102101502617562543158707992306506045345341723835884798094371840110390166578203101816798667629760018485303677692252686890515616177
m: 10000000000000000000000000000000000000
deg: 5
c5: 31
c0: -265
skew: 1.54
# Murphy_E = 4.78e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 15300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1941825 x 1942050
Total sieving time: 212.52 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 3.77 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 216.86 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 25, 2009 06:00:00 UTC 2009 年 12 月 25 日 (金) 15 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 19, 2010 22:12:49 UTC 2010 年 6 月 20 日 (日) 7 時 12 分 49 秒 (日本時間)
403e62126110Ignacio SantosJune 19, 2010 22:12:49 UTC 2010 年 6 月 20 日 (日) 7 時 12 分 49 秒 (日本時間)
2016Wataru SakaiJuly 1, 2010 05:06:25 UTC 2010 年 7 月 1 日 (木) 14 時 6 分 25 秒 (日本時間)
4511e632 / 3991Ignacio SantosJune 19, 2010 22:12:49 UTC 2010 年 6 月 20 日 (日) 7 時 12 分 49 秒 (日本時間)

62×10185-539

c184

name 名前Dmitry Domanov
date 日付January 3, 2010 08:12:56 UTC 2010 年 1 月 3 日 (日) 17 時 12 分 56 秒 (日本時間)
composite number 合成数
2789023841655420602789023841655420602789023841655420602789023841655420602789023841655420602789023841655420602789023841655420602789023841655420602789023841655420602789023841655420602789<184>
prime factors 素因数
720475313849927443140126987070704370619709467972415583757555099887065583<72>
3871088693867955038511054494353741616762738850725601899148075483677655898700743318118727450778504979599969171883<112>
factorization results 素因数分解の結果
N=2789023841655420602789023841655420602789023841655420602789023841655420602789023841655420602789023841655420602789023841655420602789023841655420602789023841655420602789023841655420602789
  ( 184 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=720475313849927443140126987070704370619709467972415583757555099887065583 (pp72)
 r2=3871088693867955038511054494353741616762738850725601899148075483677655898700743318118727450778504979599969171883 (pp112)
Version: Msieve-1.40
Total time: 264.05 hours.
Scaled time: 507.49 units (timescale=1.922).
Factorization parameters were as follows:
n: 2789023841655420602789023841655420602789023841655420602789023841655420602789023841655420602789023841655420602789023841655420602789023841655420602789023841655420602789023841655420602789
m: 10000000000000000000000000000000000000
deg: 5
c5: 62
c0: -53
skew: 0.97
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4550000, 8750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1856355 x 1856580
Total sieving time: 259.03 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 4.55 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000
total time: 264.05 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
351e6118Makoto KamadaDecember 25, 2009 06:00:00 UTC 2009 年 12 月 25 日 (金) 15 時 0 分 0 秒 (日本時間)
403e60--
4511e6700 / 4475Dmitry DomanovDecember 27, 2009 19:32:14 UTC 2009 年 12 月 28 日 (月) 4 時 32 分 14 秒 (日本時間)

62×10186-539

c185

name 名前Dmitry Domanov
date 日付December 30, 2009 18:14:10 UTC 2009 年 12 月 31 日 (木) 3 時 14 分 10 秒 (日本時間)
composite number 合成数
64382139148494288681204569055036344755970924195223260643821391484942886812045690550363447559709241952232606438213914849428868120456905503634475597092419522326064382139148494288681204569<185>
prime factors 素因数
498056800528742588479657412721746192942489443519<48>
129266660108135257286938079199893122030311025444449516617909250929619731894052765717142414754516238819629578974911250362523515937577022951<138>
factorization results 素因数分解の結果
N=64382139148494288681204569055036344755970924195223260643821391484942886812045690550363447559709241952232606438213914849428868120456905503634475597092419522326064382139148494288681204569
  ( 185 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=498056800528742588479657412721746192942489443519 (pp48)
 r2=129266660108135257286938079199893122030311025444449516617909250929619731894052765717142414754516238819629578974911250362523515937577022951 (pp138)
Version: Msieve-1.40
Total time: 251.78 hours.
Scaled time: 478.13 units (timescale=1.899).
Factorization parameters were as follows:
n: 64382139148494288681204569055036344755970924195223260643821391484942886812045690550363447559709241952232606438213914849428868120456905503634475597092419522326064382139148494288681204569
m: 10000000000000000000000000000000000000
deg: 5
c5: 620
c0: -53
skew: 0.61
type: snfs
lss: 1
rlim: 9400000
alim: 9400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor base limits: 9400000/9400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4700000, 8600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1803269 x 1803495
Total sieving time: 246.81 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 4.25 hours.
Time per square root: 0.49 hours.
Prototype def-par.txt line would be:
snfs,187.000,5,0,0,0,0,0,0,0,0,9400000,9400000,28,28,54,54,2.5,2.5,100000
total time: 251.78 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 25, 2009 06:00:00 UTC 2009 年 12 月 25 日 (金) 15 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiDecember 26, 2009 19:25:10 UTC 2009 年 12 月 27 日 (日) 4 時 25 分 10 秒 (日本時間)
4511e6700 / 3963Dmitry DomanovDecember 27, 2009 19:32:35 UTC 2009 年 12 月 28 日 (月) 4 時 32 分 35 秒 (日本時間)

62×10187-539

c171

name 名前Ignacio Santos
date 日付May 19, 2011 06:32:28 UTC 2011 年 5 月 19 日 (木) 15 時 32 分 28 秒 (日本時間)
composite number 合成数
282393465437059530184256843664405596390833966884534743404591659521222494232810704089657016260630340652781849322008338060398652317411145071466669720604946420696565756151347<171>
prime factors 素因数
86409906874088236009430172978923<32>
composite cofactor 合成数の残り
3268068160848127717092229859211312542964815148910934676081283343774505170312558888470796404782161489277755226808226402718027103814193046489<139>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4122516632
Step 1 took 8721ms
********** Factor found in step 1: 86409906874088236009430172978923
Found probable prime factor of 32 digits: 86409906874088236009430172978923
Composite cofactor 3268068160848127717092229859211312542964815148910934676081283343774505170312558888470796404782161489277755226808226402718027103814193046489 has 139 digits
software ソフトウェア
GMP-ECM 6.3

c139

name 名前LegionMammal978
date 日付January 28, 2017 12:27:02 UTC 2017 年 1 月 28 日 (土) 21 時 27 分 2 秒 (日本時間)
composite number 合成数
3268068160848127717092229859211312542964815148910934676081283343774505170312558888470796404782161489277755226808226402718027103814193046489<139>
prime factors 素因数
2592270853213154940258918359809249375038299518176133<52>
1260697028166371130883070228325777378588128454528719999554326955645666057773794536977733<88>
factorization results 素因数分解の結果
Fri Jan 27 19:41:42 2017  Msieve v. 1.53 (SVN Unversioned directory)
Fri Jan 27 19:41:42 2017  random seeds: 3681aa84 9195e4c9
Fri Jan 27 19:41:42 2017  factoring 3268068160848127717092229859211312542964815148910934676081283343774505170312558888470796404782161489277755226808226402718027103814193046489 (139 digits)
Fri Jan 27 19:41:43 2017  no P-1/P+1/ECM available, skipping
Fri Jan 27 19:41:43 2017  commencing number field sieve (139-digit input)
Fri Jan 27 19:41:43 2017  R0: -10000000000000000000000000000000000000
Fri Jan 27 19:41:43 2017  R1: 1
Fri Jan 27 19:41:43 2017  A0: -53
Fri Jan 27 19:41:43 2017  A1: 0
Fri Jan 27 19:41:43 2017  A2: 0
Fri Jan 27 19:41:43 2017  A3: 0
Fri Jan 27 19:41:43 2017  A4: 0
Fri Jan 27 19:41:43 2017  A5: 6200
Fri Jan 27 19:41:43 2017  skew 0.39, size 1.554e-13, alpha 0.822, combined = 2.779e-11 rroots = 1
Fri Jan 27 19:41:43 2017  
Fri Jan 27 19:41:43 2017  commencing relation filtering
Fri Jan 27 19:41:43 2017  estimated available RAM is 15929.4 MB
Fri Jan 27 19:41:43 2017  commencing duplicate removal, pass 1
Fri Jan 27 19:44:33 2017  skipped 1 relations with b > 2^32
Fri Jan 27 19:44:33 2017  found 4101129 hash collisions in 23512651 relations
Fri Jan 27 19:44:52 2017  added 193 free relations
Fri Jan 27 19:44:52 2017  commencing duplicate removal, pass 2
Fri Jan 27 19:44:59 2017  found 3929218 duplicates and 19583626 unique relations
Fri Jan 27 19:44:59 2017  memory use: 106.6 MB
Fri Jan 27 19:44:59 2017  reading ideals above 720000
Fri Jan 27 19:44:59 2017  commencing singleton removal, initial pass
Fri Jan 27 19:47:01 2017  memory use: 689.0 MB
Fri Jan 27 19:47:01 2017  reading all ideals from disk
Fri Jan 27 19:47:02 2017  memory use: 631.6 MB
Fri Jan 27 19:47:02 2017  keeping 21656499 ideals with weight <= 200, target excess is 116063
Fri Jan 27 19:47:03 2017  commencing in-memory singleton removal
Fri Jan 27 19:47:04 2017  begin with 19583626 relations and 21656499 unique ideals
Fri Jan 27 19:47:13 2017  reduce to 8309685 relations and 8140959 ideals in 19 passes
Fri Jan 27 19:47:13 2017  max relations containing the same ideal: 109
Fri Jan 27 19:47:15 2017  removing 268085 relations and 251039 ideals in 17046 cliques
Fri Jan 27 19:47:15 2017  commencing in-memory singleton removal
Fri Jan 27 19:47:15 2017  begin with 8041600 relations and 8140959 unique ideals
Fri Jan 27 19:47:19 2017  reduce to 8034585 relations and 7882876 ideals in 8 passes
Fri Jan 27 19:47:19 2017  max relations containing the same ideal: 107
Fri Jan 27 19:47:21 2017  removing 193808 relations and 176762 ideals in 17046 cliques
Fri Jan 27 19:47:21 2017  commencing in-memory singleton removal
Fri Jan 27 19:47:21 2017  begin with 7840777 relations and 7882876 unique ideals
Fri Jan 27 19:47:24 2017  reduce to 7836718 relations and 7702044 ideals in 8 passes
Fri Jan 27 19:47:24 2017  max relations containing the same ideal: 105
Fri Jan 27 19:47:26 2017  relations with 0 large ideals: 2853
Fri Jan 27 19:47:26 2017  relations with 1 large ideals: 730
Fri Jan 27 19:47:26 2017  relations with 2 large ideals: 14208
Fri Jan 27 19:47:26 2017  relations with 3 large ideals: 118613
Fri Jan 27 19:47:26 2017  relations with 4 large ideals: 527951
Fri Jan 27 19:47:26 2017  relations with 5 large ideals: 1381932
Fri Jan 27 19:47:26 2017  relations with 6 large ideals: 2256869
Fri Jan 27 19:47:26 2017  relations with 7+ large ideals: 3533562
Fri Jan 27 19:47:26 2017  commencing 2-way merge
Fri Jan 27 19:47:29 2017  reduce to 4657120 relation sets and 4522445 unique ideals
Fri Jan 27 19:47:29 2017  commencing full merge
Fri Jan 27 19:48:20 2017  memory use: 546.3 MB
Fri Jan 27 19:48:20 2017  found 2393519 cycles, need 2382645
Fri Jan 27 19:48:20 2017  weight of 2382645 cycles is about 167123024 (70.14/cycle)
Fri Jan 27 19:48:20 2017  distribution of cycle lengths:
Fri Jan 27 19:48:20 2017  1 relations: 343571
Fri Jan 27 19:48:20 2017  2 relations: 317214
Fri Jan 27 19:48:20 2017  3 relations: 294974
Fri Jan 27 19:48:20 2017  4 relations: 250406
Fri Jan 27 19:48:20 2017  5 relations: 215840
Fri Jan 27 19:48:20 2017  6 relations: 174708
Fri Jan 27 19:48:20 2017  7 relations: 146392
Fri Jan 27 19:48:20 2017  8 relations: 120010
Fri Jan 27 19:48:20 2017  9 relations: 97274
Fri Jan 27 19:48:20 2017  10+ relations: 422256
Fri Jan 27 19:48:20 2017  heaviest cycle: 28 relations
Fri Jan 27 19:48:21 2017  commencing cycle optimization
Fri Jan 27 19:48:23 2017  start with 13726360 relations
Fri Jan 27 19:48:37 2017  pruned 305506 relations
Fri Jan 27 19:48:37 2017  memory use: 456.1 MB
Fri Jan 27 19:48:37 2017  distribution of cycle lengths:
Fri Jan 27 19:48:37 2017  1 relations: 343571
Fri Jan 27 19:48:37 2017  2 relations: 323760
Fri Jan 27 19:48:37 2017  3 relations: 304591
Fri Jan 27 19:48:37 2017  4 relations: 255387
Fri Jan 27 19:48:37 2017  5 relations: 219186
Fri Jan 27 19:48:37 2017  6 relations: 175667
Fri Jan 27 19:48:37 2017  7 relations: 146522
Fri Jan 27 19:48:37 2017  8 relations: 118506
Fri Jan 27 19:48:37 2017  9 relations: 95307
Fri Jan 27 19:48:37 2017  10+ relations: 400148
Fri Jan 27 19:48:37 2017  heaviest cycle: 27 relations
Fri Jan 27 19:48:39 2017  RelProcTime: 416
Fri Jan 27 19:48:40 2017  elapsed time 00:06:58
Fri Jan 27 19:48:40 2017 LatSieveTime: 1165.02
Fri Jan 27 19:48:40 2017 -> Running matrix solving step ...
Fri Jan 27 19:48:40 2017 -> ./msieve -s 68883_187/68883_187.dat -l 68883_187/68883_187.log -i 68883_187/68883_187.ini -nf 68883_187/68883_187.fb -t 6 -nc2
Fri Jan 27 19:48:40 2017  
Fri Jan 27 19:48:40 2017  
Fri Jan 27 19:48:40 2017  Msieve v. 1.53 (SVN Unversioned directory)
Fri Jan 27 19:48:40 2017  random seeds: 4b0637a7 efd2e4a1
Fri Jan 27 19:48:40 2017  factoring 3268068160848127717092229859211312542964815148910934676081283343774505170312558888470796404782161489277755226808226402718027103814193046489 (139 digits)
Fri Jan 27 19:48:40 2017  no P-1/P+1/ECM available, skipping
Fri Jan 27 19:48:40 2017  commencing number field sieve (139-digit input)
Fri Jan 27 19:48:40 2017  R0: -10000000000000000000000000000000000000
Fri Jan 27 19:48:40 2017  R1: 1
Fri Jan 27 19:48:40 2017  A0: -53
Fri Jan 27 19:48:40 2017  A1: 0
Fri Jan 27 19:48:40 2017  A2: 0
Fri Jan 27 19:48:40 2017  A3: 0
Fri Jan 27 19:48:40 2017  A4: 0
Fri Jan 27 19:48:40 2017  A5: 6200
Fri Jan 27 19:48:40 2017  skew 0.39, size 1.554e-13, alpha 0.822, combined = 2.779e-11 rroots = 1
Fri Jan 27 19:48:40 2017  
Fri Jan 27 19:48:40 2017  commencing linear algebra
Fri Jan 27 19:48:40 2017  read 2382645 cycles
Fri Jan 27 19:48:43 2017  cycles contain 7668395 unique relations
Fri Jan 27 19:49:19 2017  read 7668395 relations
Fri Jan 27 19:49:24 2017  using 20 quadratic characters above 4294917295
Fri Jan 27 19:49:53 2017  building initial matrix
Fri Jan 27 19:50:38 2017  memory use: 937.8 MB
Fri Jan 27 19:50:39 2017  read 2382645 cycles
Fri Jan 27 19:50:39 2017  matrix is 2382468 x 2382645 (716.0 MB) with weight 210377049 (88.30/col)
Fri Jan 27 19:50:39 2017  sparse part has weight 161476743 (67.77/col)
Fri Jan 27 19:50:51 2017  filtering completed in 2 passes
Fri Jan 27 19:50:51 2017  matrix is 2380303 x 2380480 (715.8 MB) with weight 210303692 (88.35/col)
Fri Jan 27 19:50:51 2017  sparse part has weight 161451496 (67.82/col)
Fri Jan 27 19:50:56 2017  matrix starts at (0, 0)
Fri Jan 27 19:50:57 2017  matrix is 2380303 x 2380480 (715.8 MB) with weight 210303692 (88.35/col)
Fri Jan 27 19:50:57 2017  sparse part has weight 161451496 (67.82/col)
Fri Jan 27 19:50:57 2017  saving the first 48 matrix rows for later
Fri Jan 27 19:50:57 2017  matrix includes 64 packed rows
Fri Jan 27 19:50:57 2017  matrix is 2380255 x 2380480 (679.3 MB) with weight 167103343 (70.20/col)
Fri Jan 27 19:50:57 2017  sparse part has weight 154279106 (64.81/col)
Fri Jan 27 19:50:57 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Fri Jan 27 19:51:03 2017  commencing Lanczos iteration (6 threads)
Fri Jan 27 19:51:03 2017  memory use: 549.3 MB
Fri Jan 27 19:51:09 2017  linear algebra at 0.1%, ETA 2h36m
Fri Jan 27 19:51:11 2017  checkpointing every 910000 dimensions
Fri Jan 27 22:30:07 2017  lanczos halted after 37642 iterations (dim = 2380250)
Fri Jan 27 22:30:10 2017  recovered 35 nontrivial dependencies
Fri Jan 27 22:30:10 2017  BLanczosTime: 9690
Fri Jan 27 22:30:10 2017  elapsed time 02:41:30
Fri Jan 27 22:30:10 2017 -> Running square root step ...
Fri Jan 27 22:30:10 2017 -> ./msieve -s 68883_187/68883_187.dat -l 68883_187/68883_187.log -i 68883_187/68883_187.ini -nf 68883_187/68883_187.fb -t 6 -nc3
Fri Jan 27 22:30:10 2017  
Fri Jan 27 22:30:10 2017  
Fri Jan 27 22:30:10 2017  Msieve v. 1.53 (SVN Unversioned directory)
Fri Jan 27 22:30:10 2017  random seeds: 06dbd73c f05f22fc
Fri Jan 27 22:30:10 2017  factoring 3268068160848127717092229859211312542964815148910934676081283343774505170312558888470796404782161489277755226808226402718027103814193046489 (139 digits)
Fri Jan 27 22:30:10 2017  no P-1/P+1/ECM available, skipping
Fri Jan 27 22:30:10 2017  commencing number field sieve (139-digit input)
Fri Jan 27 22:30:10 2017  R0: -10000000000000000000000000000000000000
Fri Jan 27 22:30:10 2017  R1: 1
Fri Jan 27 22:30:10 2017  A0: -53
Fri Jan 27 22:30:10 2017  A1: 0
Fri Jan 27 22:30:10 2017  A2: 0
Fri Jan 27 22:30:10 2017  A3: 0
Fri Jan 27 22:30:10 2017  A4: 0
Fri Jan 27 22:30:10 2017  A5: 6200
Fri Jan 27 22:30:10 2017  skew 0.39, size 1.554e-13, alpha 0.822, combined = 2.779e-11 rroots = 1
Fri Jan 27 22:30:10 2017  
Fri Jan 27 22:30:10 2017  commencing square root phase
Fri Jan 27 22:30:10 2017  reading relations for dependency 1
Fri Jan 27 22:30:10 2017  read 1189114 cycles
Fri Jan 27 22:30:12 2017  cycles contain 3833260 unique relations
Fri Jan 27 22:30:31 2017  read 3833260 relations
Fri Jan 27 22:30:43 2017  multiplying 3833260 relations
Fri Jan 27 22:32:48 2017  multiply complete, coefficients have about 132.79 million bits
Fri Jan 27 22:32:48 2017  initial square root is modulo 58321
Fri Jan 27 22:35:15 2017  GCD is N, no factor found
Fri Jan 27 22:35:15 2017  reading relations for dependency 2
Fri Jan 27 22:35:15 2017  read 1190128 cycles
Fri Jan 27 22:35:16 2017  cycles contain 3836148 unique relations
Fri Jan 27 22:35:35 2017  read 3836148 relations
Fri Jan 27 22:35:47 2017  multiplying 3836148 relations
Fri Jan 27 22:37:53 2017  multiply complete, coefficients have about 132.89 million bits
Fri Jan 27 22:37:53 2017  initial square root is modulo 58831
Fri Jan 27 22:40:29 2017  GCD is 1, no factor found
Fri Jan 27 22:40:29 2017  reading relations for dependency 3
Fri Jan 27 22:40:29 2017  read 1189067 cycles
Fri Jan 27 22:40:30 2017  cycles contain 3832904 unique relations
Fri Jan 27 22:40:49 2017  read 3832904 relations 
Fri Jan 27 22:41:01 2017  multiplying 3832904 relations
Fri Jan 27 22:43:06 2017  multiply complete, coefficients have about 132.78 million bits
Fri Jan 27 22:43:07 2017  initial square root is modulo 58231
Fri Jan 27 22:45:35 2017  sqrtTime: 925
Fri Jan 27 22:45:35 2017  p52 factor: 2592270853213154940258918359809249375038299518176133
Fri Jan 27 22:45:35 2017  p88 factor: 1260697028166371130883070228325777378588128454528719999554326955645666057773794536977733
Fri Jan 27 22:45:35 2017  elapsed time 00:15:25
software ソフトウェア
GGNFS/Msieve v1.53
execution environment 実行環境
64-bit Ubuntu 16.04.1 LTS, Core i7-2600K 3.4GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 25, 2009 06:00:00 UTC 2009 年 12 月 25 日 (金) 15 時 0 分 0 秒 (日本時間)
403e61300300Dmitry DomanovMay 20, 2011 07:40:23 UTC 2011 年 5 月 20 日 (金) 16 時 40 分 23 秒 (日本時間)
1000Dmitry DomanovApril 18, 2013 15:55:10 UTC 2013 年 4 月 19 日 (金) 0 時 55 分 10 秒 (日本時間)
4511e61000 / 4188Dmitry DomanovApril 26, 2013 13:28:18 UTC 2013 年 4 月 26 日 (金) 22 時 28 分 18 秒 (日本時間)

62×10189-539

c151

name 名前Ignacio Santos
date 日付May 19, 2011 06:35:28 UTC 2011 年 5 月 19 日 (木) 15 時 35 分 28 秒 (日本時間)
composite number 合成数
3726401790679111550880443253793405270708522204564224437087821641853334704500509039957740735206787906909033551672054067064335191855980994351253058271361<151>
prime factors 素因数
7707898789256464185934781193053<31>
29471498372209642104069875882663<32>
16404064186384735732773583819863695292622654824965057826824483345818291685475856449978499<89>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2894234393
Step 1 took 6942ms
Step 2 took 5492ms
********** Factor found in step 2: 29471498372209642104069875882663
Found probable prime factor of 32 digits: 29471498372209642104069875882663
Composite cofactor 126440866481120229810313594373530239082111902059478663998395453332434934600255610163169305260057911337896181511418167447 has 120 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3688229595
Step 1 took 5897ms
Step 2 took 4524ms
********** Factor found in step 2: 7707898789256464185934781193053
Found probable prime factor of 31 digits: 7707898789256464185934781193053
Probable prime cofactor 16404064186384735732773583819863695292622654824965057826824483345818291685475856449978499 has 89 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 25, 2009 06:00:00 UTC 2009 年 12 月 25 日 (金) 15 時 0 分 0 秒 (日本時間)

62×10191-539

c178

name 名前matsui
date 日付October 16, 2010 09:26:45 UTC 2010 年 10 月 16 日 (土) 18 時 26 分 45 秒 (日本時間)
composite number 合成数
3125845875101833364809573347832297806451044452090799896781716980088541140765263870564508250481151428655468443275927067802956099974361529297359532674848872742934305786736903628123<178>
prime factors 素因数
26192287930055857428966760949369366323065089475334125016893673551982560350399004587<83>
119342223308216634095637757990987232721075548511308766351372412037883846852659232880989512237329<96>
factorization results 素因数分解の結果
N=3125845875101833364809573347832297806451044452090799896781716980088541140765263870564508250481151428655468443275927067802956099974361529297359532674848872742934305786736903628123
  ( 178 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=26192287930055857428966760949369366323065089475334125016893673551982560350399004587 (pp83)
 r2=119342223308216634095637757990987232721075548511308766351372412037883846852659232880989512237329 (pp96)
Version: Msieve v. 1.48
Total time:
Scaled time: 52.66 units (timescale=1.347).
Factorization parameters were as follows:
n: 3125845875101833364809573347832297806451044452090799896781716980088541140765263870564508250481151428655468443275927067802956099974361529297359532674848872742934305786736903628123
m: 100000000000000000000000000000000000000
deg: 5
c5: 620
c0: -53
skew: 0.61
type: snfs
lss: 1
rlim: 11400000
alim: 11400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 800000
Factor base limits: 11400000/11400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5700000, 20100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2341458 x 2341686
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,192.000,5,0,0,0,0,0,0,0,0,11400000,11400000,28,28,55,55,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 25, 2009 06:00:00 UTC 2009 年 12 月 25 日 (金) 15 時 0 分 0 秒 (日本時間)

62×10192-539

c166

composite cofactor 合成数の残り
7833565010887227156293341722304454696678835637493135530520605604175212912495197180216902961756204422136156989510951415477766769068572996314532028683752630720880953349<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 25, 2009 06:00:00 UTC 2009 年 12 月 25 日 (金) 15 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 19, 2011 06:37:25 UTC 2011 年 5 月 19 日 (木) 15 時 37 分 25 秒 (日本時間)
403e61110110Ignacio SantosMay 19, 2011 06:37:25 UTC 2011 年 5 月 19 日 (木) 15 時 37 分 25 秒 (日本時間)
1000Dmitry DomanovApril 18, 2013 15:55:18 UTC 2013 年 4 月 19 日 (金) 0 時 55 分 18 秒 (日本時間)
4511e61032 / 421632Ignacio SantosMay 19, 2011 06:37:25 UTC 2011 年 5 月 19 日 (木) 15 時 37 分 25 秒 (日本時間)
1000Dmitry DomanovApril 26, 2013 13:28:28 UTC 2013 年 4 月 26 日 (金) 22 時 28 分 28 秒 (日本時間)

62×10193-539

c166

composite cofactor 合成数の残り
1018007233331060477943888514170163703258057135050389127683877416243454905494439729899502830081258149546520165643301253186034809547785861061268305760566204605198128049<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 25, 2009 06:00:00 UTC 2009 年 12 月 25 日 (金) 15 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 19, 2011 11:54:57 UTC 2011 年 5 月 19 日 (木) 20 時 54 分 57 秒 (日本時間)
403e61110110Ignacio SantosMay 19, 2011 11:54:57 UTC 2011 年 5 月 19 日 (木) 20 時 54 分 57 秒 (日本時間)
1000Dmitry DomanovApril 18, 2013 15:55:29 UTC 2013 年 4 月 19 日 (金) 0 時 55 分 29 秒 (日本時間)
4511e61032 / 421632Ignacio SantosMay 19, 2011 11:54:57 UTC 2011 年 5 月 19 日 (木) 20 時 54 分 57 秒 (日本時間)
1000Dmitry DomanovApril 26, 2013 13:28:38 UTC 2013 年 4 月 26 日 (金) 22 時 28 分 38 秒 (日本時間)

62×10197-539

c177

composite cofactor 合成数の残り
700327192492938830646341050949137353100384453025624862654877966732741428715264704779512439036269523765081838038921949259470524440378980807188033301111853928479510540817535463051<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 25, 2009 06:00:00 UTC 2009 年 12 月 25 日 (金) 15 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 19, 2011 11:55:17 UTC 2011 年 5 月 19 日 (木) 20 時 55 分 17 秒 (日本時間)
403e61110110Ignacio SantosMay 19, 2011 11:55:17 UTC 2011 年 5 月 19 日 (木) 20 時 55 分 17 秒 (日本時間)
1000Dmitry DomanovApril 18, 2013 15:55:45 UTC 2013 年 4 月 19 日 (金) 0 時 55 分 45 秒 (日本時間)
4511e61032 / 421632Ignacio SantosMay 19, 2011 11:55:17 UTC 2011 年 5 月 19 日 (木) 20 時 55 分 17 秒 (日本時間)
1000Dmitry DomanovApril 26, 2013 13:28:48 UTC 2013 年 4 月 26 日 (金) 22 時 28 分 48 秒 (日本時間)

62×10198-539

c165

name 名前Ignacio Santos
date 日付May 19, 2011 11:54:27 UTC 2011 年 5 月 19 日 (木) 20 時 54 分 27 秒 (日本時間)
composite number 合成数
175719885933739482098606559975114641764194944734696435065307395121891263194112673813624004958059333887208765536543564515851607782596485726476196715356695737879706867<165>
prime factors 素因数
99666784136493492488583852515726727463<38>
composite cofactor 合成数の残り
1763073700593082196671309861904340852551158649716828287722009870251841089803823628750495849325240041080529325577261722948461909<127>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3159666219
Step 1 took 95660ms
Step 2 took 47081ms
********** Factor found in step 2: 99666784136493492488583852515726727463
Found probable prime factor of 38 digits: 99666784136493492488583852515726727463
Composite cofactor 1763073700593082196671309861904340852551158649716828287722009870251841089803823628750495849325240041080529325577261722948461909 has 127 digits
software ソフトウェア
GMP-ECM 6.3

c127

name 名前Warut Roonguthai
date 日付June 16, 2011 05:38:06 UTC 2011 年 6 月 16 日 (木) 14 時 38 分 6 秒 (日本時間)
composite number 合成数
1763073700593082196671309861904340852551158649716828287722009870251841089803823628750495849325240041080529325577261722948461909<127>
prime factors 素因数
557317243145268053560077703249270498538199406259231<51>
3163501080000725102891533661924883673479897597543287043777571143209414524939<76>
factorization results 素因数分解の結果
N = 1763073700593082196671309861904340852551158649716828287722009870251841089803823628750495849325240041080529325577261722948461909 (127 digits)
Divisors found:
r1=557317243145268053560077703249270498538199406259231 (pp51)
r2=3163501080000725102891533661924883673479897597543287043777571143209414524939 (pp76)
Version: Msieve v. 1.47
Total time: 33.84 hours.
Factorization parameters were as follows:
n: 1763073700593082196671309861904340852551158649716828287722009870251841089803823628750495849325240041080529325577261722948461909
Y0: -3463031837805003409078264
Y1: 38725045495151
c0: -18701367394576772506398370407405
c1: 126684384662557851402432309
c2: 2455810458369710252926
c3: 3042961497069409
c4: -11091441479
c5: 3540
skew: 459445.73
type: gnfs
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19309285
Relations: 2018532 relations
Pruned matrix : 1142921 x 1143147
Polynomial selection time: 0.00 hours.
Total sieving time: 30.93 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.68 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: gnfs,126,5,65,2000,1e-05,0.28,250,20,50000,3600,6100000,6100000,28,28,55,55,2.5,2.5,100000
total time: 33.84 hours.
Intel64 Family 6 Model 37 Stepping 5, GenuineIntel
Windows-7-6.1.7600
processors: 4, speed: 2.53GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 25, 2009 06:00:00 UTC 2009 年 12 月 25 日 (金) 15 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiMay 20, 2011 02:00:34 UTC 2011 年 5 月 20 日 (金) 11 時 0 分 34 秒 (日本時間)
4511e64000Wataru SakaiJune 1, 2011 01:12:54 UTC 2011 年 6 月 1 日 (水) 10 時 12 分 54 秒 (日本時間)

62×10199-539

c155

composite cofactor 合成数の残り
17010684202253040965942389522151682788312336649536201635980944010653360508112160689917393579020289417688595317377005282138023156662893278262060087842164991<155>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 25, 2009 06:00:00 UTC 2009 年 12 月 25 日 (金) 15 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 19, 2011 11:55:58 UTC 2011 年 5 月 19 日 (木) 20 時 55 分 58 秒 (日本時間)
403e61110110Ignacio SantosMay 19, 2011 11:55:58 UTC 2011 年 5 月 19 日 (木) 20 時 55 分 58 秒 (日本時間)
1000Dmitry DomanovApril 18, 2013 15:55:53 UTC 2013 年 4 月 19 日 (金) 0 時 55 分 53 秒 (日本時間)
4511e61032 / 421632Ignacio SantosMay 19, 2011 11:55:58 UTC 2011 年 5 月 19 日 (木) 20 時 55 分 58 秒 (日本時間)
1000Dmitry DomanovApril 26, 2013 13:28:57 UTC 2013 年 4 月 26 日 (金) 22 時 28 分 57 秒 (日本時間)

62×10200-539

c168

name 名前Robert Backstrom
date 日付October 21, 2012 11:37:32 UTC 2012 年 10 月 21 日 (日) 20 時 37 分 32 秒 (日本時間)
composite number 合成数
144142063420479122147401213810671687743839732342839527019694707245092769789881521981642453357447390269521405675059121896807539256314225009173420348310833276709098446589<168>
prime factors 素因数
4297778049842672209520872672843040158352166000257419066523740139554631747317<76>
33538740658270079375229560258401090349439338204044745390565091986405676951320717563371856617<92>
factorization results 素因数分解の結果
Number: n
N=144142063420479122147401213810671687743839732342839527019694707245092769789881521981642453357447390269521405675059121896807539256314225009173420348310833276709098446589
  ( 168 digits)
SNFS difficulty: 201 digits.
Divisors found:

Sun Oct 21 22:34:14 2012  prp76 factor: 4297778049842672209520872672843040158352166000257419066523740139554631747317
Sun Oct 21 22:34:14 2012  prp92 factor: 33538740658270079375229560258401090349439338204044745390565091986405676951320717563371856617
Sun Oct 21 22:34:14 2012  elapsed time 08:19:44 (Msieve 1.44 - dependency 4)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.096).
Factorization parameters were as follows:
name: KA_68883_200
n: 144142063420479122147401213810671687743839732342839527019694707245092769789881521981642453357447390269521405675059121896807539256314225009173420348310833276709098446589
m: 10000000000000000000000000000000000000000
#  c168, diff: 201.79
skew: 0.969
deg: 5
c5: 62
c0: -53
# Murphy_E = 1.106e-11
type: snfs
lss: 1
rlim: 16200000
alim: 16200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16200000/16200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 46100000)
Primes: RFBsize:1043113, AFBsize:1043341,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10692049 hash collisions in 66840097 relations (58522138 unique)
Msieve: matrix is 2192031 x 2192256 (618.9 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,201,5,0,0,0,0,0,0,0,0,16200000,16200000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 25, 2009 06:00:00 UTC 2009 年 12 月 25 日 (金) 15 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 19, 2011 12:48:24 UTC 2011 年 5 月 19 日 (木) 21 時 48 分 24 秒 (日本時間)
403e6110 / 2126Ignacio SantosMay 19, 2011 12:48:24 UTC 2011 年 5 月 19 日 (木) 21 時 48 分 24 秒 (日本時間)
4511e632 / 4437Ignacio SantosMay 19, 2011 12:48:24 UTC 2011 年 5 月 19 日 (木) 21 時 48 分 24 秒 (日本時間)

62×10201-539

c189

composite cofactor 合成数の残り
484606789317421938939211084368209308906154797536117603474340210792394552740509455581219786784793368355058815756584794558855443855679607512542760900267192739874133619247455973330834668955541<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 18, 2013 15:56:05 UTC 2013 年 4 月 19 日 (金) 0 時 56 分 5 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 26, 2013 13:29:07 UTC 2013 年 4 月 26 日 (金) 22 時 29 分 7 秒 (日本時間)

62×10202-539

c166

composite cofactor 合成数の残り
8943088868739212088857131756774913860165568009072115366873057281240239977222757521483672838074224711999688452528565045985414799246789088418254560574865371130226385089<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 18, 2013 15:56:13 UTC 2013 年 4 月 19 日 (金) 0 時 56 分 13 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 26, 2013 13:29:17 UTC 2013 年 4 月 26 日 (金) 22 時 29 分 17 秒 (日本時間)

62×10203-539

c175

composite cofactor 合成数の残り
2864704223524291917168068929140501558532977304967627749000065370567200068429680053321370608744556833044454152116102105931944927516986728271592782953199982447693758170673126419<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 18, 2013 15:56:25 UTC 2013 年 4 月 19 日 (金) 0 時 56 分 25 秒 (日本時間)
4511e61000 / 3202Dmitry DomanovApril 26, 2013 13:29:26 UTC 2013 年 4 月 26 日 (金) 22 時 29 分 26 秒 (日本時間)
5043e6300 / 7291Rich DickersonMay 30, 2016 19:12:29 UTC 2016 年 5 月 31 日 (火) 4 時 12 分 29 秒 (日本時間)

62×10206-539

c171

composite cofactor 合成数の残り
126995943563737015943818483617082583349418811447954451050687615205167173302108719645062123557818373870952721945692680415983539588290071725890122421109143052750400809522351<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 18, 2013 15:56:35 UTC 2013 年 4 月 19 日 (金) 0 時 56 分 35 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 26, 2013 13:29:35 UTC 2013 年 4 月 26 日 (金) 22 時 29 分 35 秒 (日本時間)

62×10209-539

c183

composite cofactor 合成数の残り
145309840158228454288039134118069850486104010637680718133329230552854076472123438299722743596107191371474590186357943638282962229320298019331325733449233369276883966044486134523004531<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 18, 2013 15:56:46 UTC 2013 年 4 月 19 日 (金) 0 時 56 分 46 秒 (日本時間)
4511e61000 / 2942Dmitry DomanovApril 26, 2013 13:29:46 UTC 2013 年 4 月 26 日 (金) 22 時 29 分 46 秒 (日本時間)
5043e6374 / 7291Rich DickersonMay 31, 2016 12:50:14 UTC 2016 年 5 月 31 日 (火) 21 時 50 分 14 秒 (日本時間)

62×10210-539

c173

name 名前Dmitry Domanov
date 日付April 26, 2013 14:15:38 UTC 2013 年 4 月 26 日 (金) 23 時 15 分 38 秒 (日本時間)
composite number 合成数
10405761807044243067207696984784627285636980817293828912585982017457710788862764384853752238926538266009664322360707261653855196870450278027427977040718820691064143238650143<173>
prime factors 素因数
21672110147573669301394805173889828534057<41>
composite cofactor 合成数の残り
480145299012760616944046337552646197102519671314969054601066514082523026257481481303001728634308124882633246581165245894976972750599<132>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=744239467
Step 1 took 94754ms
********** Factor found in step 1: 21672110147573669301394805173889828534057
Found probable prime factor of 41 digits: 21672110147573669301394805173889828534057

c132

name 名前Erik Branger
date 日付June 19, 2013 06:51:18 UTC 2013 年 6 月 19 日 (水) 15 時 51 分 18 秒 (日本時間)
composite number 合成数
480145299012760616944046337552646197102519671314969054601066514082523026257481481303001728634308124882633246581165245894976972750599<132>
prime factors 素因数
32313260349467126337057160378532703135979<41>
14859079332137978734656558582245516737236183900107425944106272282555773324730825224979069781<92>
factorization results 素因数分解の結果
Number: 68883_210
N = 480145299012760616944046337552646197102519671314969054601066514082523026257481481303001728634308124882633246581165245894976972750599 (132 digits)
Divisors found:
r1=32313260349467126337057160378532703135979 (pp41)
r2=14859079332137978734656558582245516737236183900107425944106272282555773324730825224979069781 (pp92)
Version: Msieve v. 1.51 (SVN 845)
Total time: 97.42 hours.
Factorization parameters were as follows:
# Murphy_E = 6.988e-11, selected by Dmitry Domanov
n: 480145299012760616944046337552646197102519671314969054601066514082523026257481481303001728634308124882633246581165245894976972750599
Y0: -71778502099160887580852788
Y1: 2796283662931
c0: -761117430892753814884390600278075
c1: 3522265452477745820203731930
c2: 6033177077052183869829
c3: -4916284096866862
c4: 2755684646
c5: 252
skew: 1684442.1
type: gnfs
# selected mechanically
rlim: 10900000
alim: 10900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6

Factor base limits: 10900000/10900000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19522393
Relations: 2842814 relations
Pruned matrix : 1651712 x 1651941
Polynomial selection time: 0.00 hours.
Total sieving time: 93.79 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 2.30 hours.
time per square root: 1.15 hours.
Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,10900000,10900000,28,28,54,54,2.6,2.6,100000
total time: 97.42 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 18, 2013 15:56:55 UTC 2013 年 4 月 19 日 (金) 0 時 56 分 55 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 26, 2013 13:29:57 UTC 2013 年 4 月 26 日 (金) 22 時 29 分 57 秒 (日本時間)

62×10212-539

c178

name 名前Dmitry Domanov
date 日付April 18, 2013 11:36:46 UTC 2013 年 4 月 18 日 (木) 20 時 36 分 46 秒 (日本時間)
composite number 合成数
2743520948688099084303971018321815353450659935552472579331748804701183978382406922909898730643761750301243041448060990793861150971605677497293260211238421359537574585119863165389<178>
prime factors 素因数
201541422847010217470799285203025403<36>
13612690185137283641018596256104769181129318448930593552551508494869791739829405562694157096726863333206830749790451829087539927253876651855063<143>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3419013387
Step 1 took 31112ms
********** Factor found in step 1: 201541422847010217470799285203025403
Found probable prime factor of 36 digits: 201541422847010217470799285203025403

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)

62×10213-539

c203

composite cofactor 合成数の残り
69989544558299002371555666405520019710080846094781328444165373819429882931319973431095461308156004529809031654741180155728826417129428894117329869713708802847426042564384515539608487317328312314039564207<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 18, 2013 15:57:07 UTC 2013 年 4 月 19 日 (金) 0 時 57 分 7 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 26, 2013 13:30:06 UTC 2013 年 4 月 26 日 (金) 22 時 30 分 6 秒 (日本時間)

62×10215-539

c151

name 名前Serge Batalov
date 日付November 8, 2013 03:36:24 UTC 2013 年 11 月 8 日 (金) 12 時 36 分 24 秒 (日本時間)
composite number 合成数
3853958678089059577648347085246393117307003135870989429390045939396578536664341763356324161182866561803731721502315384370959639402242229736230706144547<151>
prime factors 素因数
545145279717226881988046914466370613037<39>
7069599282026531000547329585062846437733865013379634748319745109339077046851421520409596806944713897994615609231<112>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3180412020
Step 1 took 36244ms
Step 2 took 16001ms
********** Factor found in step 2: 545145279717226881988046914466370613037
Found probable prime factor of 39 digits: 545145279717226881988046914466370613037
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 18, 2013 15:57:16 UTC 2013 年 4 月 19 日 (金) 0 時 57 分 16 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 26, 2013 13:30:19 UTC 2013 年 4 月 26 日 (金) 22 時 30 分 19 秒 (日本時間)

62×10217-539

c204

composite cofactor 合成数の残り
478501078096524163705264304686709077395938175357922345423043040017251722798174050019354423696756779431543838097823808976272250641460007367383240316876465461561673361531883625957410038446742637744972577593<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 18, 2013 15:57:25 UTC 2013 年 4 月 19 日 (金) 0 時 57 分 25 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 26, 2013 13:30:29 UTC 2013 年 4 月 26 日 (金) 22 時 30 分 29 秒 (日本時間)

62×10218-539

c179

name 名前Warut Roonguthai
date 日付April 13, 2013 23:56:42 UTC 2013 年 4 月 14 日 (日) 8 時 56 分 42 秒 (日本時間)
composite number 合成数
86980006137520958718392298648350466643936497174834808751473879862198895704968671715564008329560775453306204802931764491804709481396632080938243747539572958677475482013174889625041<179>
prime factors 素因数
136522773909674132589984501778358923<36>
composite cofactor 合成数の残り
637109865604316390205934245840099604218040795373558599587241705261485346245223854645996199018432103159709456225563962229807917315584289587896467<144>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3750095200
Step 1 took 8939ms
Step 2 took 109ms
********** Factor found in step 2: 136522773909674132589984501778358923
Found probable prime factor of 36 digits: 136522773909674132589984501778358923
Composite cofactor 637109865604316390205934245840099604218040795373558599587241705261485346245223854645996199018432103159709456225563962229807917315584289587896467 has 144 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 18, 2013 15:57:36 UTC 2013 年 4 月 19 日 (金) 0 時 57 分 36 秒 (日本時間)
4511e642661000Dmitry DomanovApril 26, 2013 13:30:40 UTC 2013 年 4 月 26 日 (金) 22 時 30 分 40 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:57 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 57 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:10 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 10 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:53 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 53 秒 (日本時間)
216Ignacio SantosDecember 21, 2015 21:03:35 UTC 2015 年 12 月 22 日 (火) 6 時 3 分 35 秒 (日本時間)

62×10219-539

c150

name 名前Erik Branger
date 日付November 28, 2017 08:28:42 UTC 2017 年 11 月 28 日 (火) 17 時 28 分 42 秒 (日本時間)
composite number 合成数
406998244441697608880784152892601149459642407545904440010217239678939124281652873043575052058741878350774005544065078748245574853835082863217182797757<150>
prime factors 素因数
56758426826163461503905859736308051372841225248153307191611982997<65>
7170710451299665022296741193087279543822612358226651134291612421527724551076904275081<85>
factorization results 素因数分解の結果
Number: 68883_219
N = 406998244441697608880784152892601149459642407545904440010217239678939124281652873043575052058741878350774005544065078748245574853835082863217182797757 (150 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=56758426826163461503905859736308051372841225248153307191611982997 (pp65)
r2=7170710451299665022296741193087279543822612358226651134291612421527724551076904275081 (pp85)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 78.10 hours.
Factorization parameters were as follows:
n: 406998244441697608880784152892601149459642407545904440010217239678939124281652873043575052058741878350774005544065078748245574853835082863217182797757
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 31
c0: -265
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 27
mfbr: 58
mfba: 54
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/27
Total raw relations: 28741771
Relations: 8569670 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 41.78 hours.
Total relation processing time: 0.26 hours.
Pruned matrix : 7508705 x 7508930
Matrix solve time: 35.90 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,67108864,29,27,58,54,2.8,2.8,100000
total time: 78.10 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.15063-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 18, 2013 15:57:46 UTC 2013 年 4 月 19 日 (金) 0 時 57 分 46 秒 (日本時間)
4511e642581000Dmitry DomanovApril 26, 2013 13:30:51 UTC 2013 年 4 月 26 日 (金) 22 時 30 分 51 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:02 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 2 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:05 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 5 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:05 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 5 秒 (日本時間)
1108Ignacio SantosJanuary 8, 2016 16:30:30 UTC 2016 年 1 月 9 日 (土) 1 時 30 分 30 秒 (日本時間)

62×10220-539

c187

name 名前Warut Roonguthai
date 日付April 14, 2013 16:17:18 UTC 2013 年 4 月 15 日 (月) 1 時 17 分 18 秒 (日本時間)
composite number 合成数
1564591767639589221213555478024423231359908022234894713867811712143952475393986063378879229551683152712773000316886700966987871374025493856783681893885893528911035047707995757432051465041<187>
prime factors 素因数
472633970058056526020844470125080919<36>
composite cofactor 合成数の残り
3310366725115845628485675062623025368927822876885811623130623240615144785117561262186829148313230219492666838239866178859430779980017253471130497746839<151>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3113247575
Step 1 took 6739ms
Step 2 took 4524ms
********** Factor found in step 2: 472633970058056526020844470125080919
Found probable prime factor of 36 digits: 472633970058056526020844470125080919
Composite cofactor 3310366725115845628485675062623025368927822876885811623130623240615144785117561262186829148313230219492666838239866178859430779980017253471130497746839 has 151 digits
software ソフトウェア
GMP-ECM 6.3

c151

name 名前Dmitry Domanov
date 日付April 18, 2013 11:36:02 UTC 2013 年 4 月 18 日 (木) 20 時 36 分 2 秒 (日本時間)
composite number 合成数
3310366725115845628485675062623025368927822876885811623130623240615144785117561262186829148313230219492666838239866178859430779980017253471130497746839<151>
prime factors 素因数
40689926504562951971379631956392092906069<41>
12148483236478825957258927232278939687552037<44>
6696797145041872273273972967868582913244341343351614782591098852063<67>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1857409967
Step 1 took 22203ms
Step 2 took 9100ms
********** Factor found in step 2: 40689926504562951971379631956392092906069
Found probable prime factor of 41 digits: 40689926504562951971379631956392092906069
Composite cofactor 81355927854640446133465596881490018817210458302808419600916672816790118216289587833454379612133754961277302331 has 110 digits

N=81355927854640446133465596881490018817210458302808419600916672816790118216289587833454379612133754961277302331
  ( 110 digits)
Divisors found:
 r1=12148483236478825957258927232278939687552037 (pp44)
 r2=6696797145041872273273972967868582913244341343351614782591098852063 (pp67)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 22.86 hours.
Scaled time: 17.33 units (timescale=0.758).
Factorization parameters were as follows:
name: cc110
n: 81355927854640446133465596881490018817210458302808419600916672816790118216289587833454379612133754961277302331
skew: 27962.11
# norm 2.51e+15
c5: 17100
c4: -1487251800
c3: -116740327474225
c2: 2274473320127381671
c1: 21048224347280486201313
c0: 40065078957884103386639637
# alpha -6.02
Y1: 279409831253
Y0: -1366092677955612680830
# Murphy_E 9.93e-10
# M 70660990963763489453057610856963478444744367926838393123211551663070853010757689262175816337841298794071837279
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 383151 x 383386
Polynomial selection time: 1.43 hours.
Total sieving time: 20.66 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 0.29 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 22.86 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 KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)

62×10221-539

c180

name 名前Warut Roonguthai
date 日付April 14, 2013 16:19:57 UTC 2013 年 4 月 15 日 (月) 1 時 19 分 57 秒 (日本時間)
composite number 合成数
238881445924709638503984892512228749028137244490771175937624242576070968287451481317114849618641756454049146946423095660476587356642228481023299501294698627679382877936013571373791<180>
prime factors 素因数
39387014560272584174847085553427097<35>
composite cofactor 合成数の残り
6064979755171787282624578589417643615953403138200028890144134458087191849813288016331566533067137609349308185156941930250171550816002334520552503<145>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=38989706
Step 1 took 8611ms
********** Factor found in step 1: 39387014560272584174847085553427097
Found probable prime factor of 35 digits: 39387014560272584174847085553427097
Composite cofactor 6064979755171787282624578589417643615953403138200028890144134458087191849813288016331566533067137609349308185156941930250171550816002334520552503 has 145 digits
software ソフトウェア
GMP-ECM 6.3

c145

name 名前Dmitry Domanov
date 日付April 17, 2013 15:15:07 UTC 2013 年 4 月 18 日 (木) 0 時 15 分 7 秒 (日本時間)
composite number 合成数
6064979755171787282624578589417643615953403138200028890144134458087191849813288016331566533067137609349308185156941930250171550816002334520552503<145>
prime factors 素因数
626729061310372475441226742181<30>
3799042504478701028801260231121<31>
2547272280707333636454238855970421439962907593180075137403083532375809875738853487803<85>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2104719183
Step 1 took 22097ms
********** Factor found in step 1: 626729061310372475441226742181
Found probable prime factor of 30 digits: 626729061310372475441226742181

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=423586741
Step 1 took 14402ms
Step 2 took 6934ms
********** Factor found in step 2: 3799042504478701028801260231121
Found probable prime factor of 31 digits: 3799042504478701028801260231121

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)

62×10222-539

c221

composite cofactor 合成数の残り
43878273177636234961075725406935598018400566171266808209483368719037508846426043878273177636234961075725406935598018400566171266808209483368719037508846426043878273177636234961075725406935598018400566171266808209483368719<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 18, 2013 15:57:56 UTC 2013 年 4 月 19 日 (金) 0 時 57 分 56 秒 (日本時間)
4511e631501000Dmitry DomanovApril 26, 2013 13:31:01 UTC 2013 年 4 月 26 日 (金) 22 時 31 分 1 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:15:23 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 23 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:22 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 22 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:44 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 44 秒 (日本時間)
5043e6315 / 6808KTakahashiNovember 12, 2014 12:36:09 UTC 2014 年 11 月 12 日 (水) 21 時 36 分 9 秒 (日本時間)

62×10223-539

c195

composite cofactor 合成数の残り
241949517851714692999647529208911503872615837142433009329049453471008560427574967616353246568295801379976384640903475801166589853705484091678318248550896992615060279360789427083061355710825250367<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 18, 2013 15:58:07 UTC 2013 年 4 月 19 日 (金) 0 時 58 分 7 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 26, 2013 13:31:11 UTC 2013 年 4 月 26 日 (金) 22 時 31 分 11 秒 (日本時間)

62×10224-539

c215

composite cofactor 合成数の残り
67653827944839766619237774904222246355630255259065538604509120467764952931980139279378831733743569882883556357275589698420324575099041583267461902773215968818707563253852861923553990545654990874662856236692044177637<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 18, 2013 15:58:25 UTC 2013 年 4 月 19 日 (金) 0 時 58 分 25 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 26, 2013 13:31:20 UTC 2013 年 4 月 26 日 (金) 22 時 31 分 20 秒 (日本時間)

62×10225-539

c215

composite cofactor 合成数の残り
13593223537172523071594012389338112965506353458588061444038205471977890934115423307038299648712977591858604613940753642556831186932011339773296710289023103632875989987507713848868830393721360596483980220412337324937<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 18, 2013 15:58:40 UTC 2013 年 4 月 19 日 (金) 0 時 58 分 40 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 26, 2013 13:31:30 UTC 2013 年 4 月 26 日 (金) 22 時 31 分 30 秒 (日本時間)

62×10226-539

c187

composite cofactor 合成数の残り
1307770056461706229950881499606417512703986796798199126223260270448187842458704869411884572624565890293605629634046744050089168295277168189631915758290388537322482881704185777824186503827<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 18, 2013 15:58:49 UTC 2013 年 4 月 19 日 (金) 0 時 58 分 49 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 26, 2013 13:31:40 UTC 2013 年 4 月 26 日 (金) 22 時 31 分 40 秒 (日本時間)

62×10228-539

c197

composite cofactor 合成数の残り
11559186100749448999086082037201673040571596298925954692103608853155185999375252609183918551204308277988101327463206103317788973238345997271676536326101778016575741961006688657295962456551726013499<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 18, 2013 15:58:59 UTC 2013 年 4 月 19 日 (金) 0 時 58 分 59 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 26, 2013 13:31:50 UTC 2013 年 4 月 26 日 (金) 22 時 31 分 50 秒 (日本時間)

62×10229-539

c222

name 名前Dmitry Domanov
date 日付April 18, 2013 15:40:28 UTC 2013 年 4 月 19 日 (金) 0 時 40 分 28 秒 (日本時間)
composite number 合成数
177070909336833581962452709433054885130107021797546320241209808291132673247083755577123534868208137076184073591992811439727329968975203200342373343321252165034941529630654556036624943622514555497923829736510944257250362661<222>
prime factors 素因数
43998322409277179367524429152570791000339991<44>
4024492290631009265913501778864028422725836583355926320001365551596803079680402335570704884224861414826082007210147526394052453541729747439233268275294391964655809109459235086371<178>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3776100218
Step 1 took 43409ms
Step 2 took 14540ms
********** Factor found in step 2: 43998322409277179367524429152570791000339991
Found probable prime factor of 44 digits: 43998322409277179367524429152570791000339991

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)

62×10231-539

c195

composite cofactor 合成数の残り
637983200634836170599127312275311286705203482520366295904595892353071082516106414392012384324920367509073214177315704789656719299576820278790273121020717650516826825955843961057126405936335850279<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 18, 2013 15:59:30 UTC 2013 年 4 月 19 日 (金) 0 時 59 分 30 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 26, 2013 13:32:05 UTC 2013 年 4 月 26 日 (金) 22 時 32 分 5 秒 (日本時間)

62×10232-539

c185

name 名前Dmitry Domanov
date 日付April 26, 2013 08:17:34 UTC 2013 年 4 月 26 日 (金) 17 時 17 分 34 秒 (日本時間)
composite number 合成数
25823812887878151986764306146469944098651282530767274014418920990785019569709217396694491951242744798065303875266890895794963251783762170476379197730304685789342521835371561909395797221<185>
prime factors 素因数
10710145999526071543044169922432382535837<41>
2411154141971628262467344364423722976083099762025701741406416891223132789432377840880296409503308012750477984868578881520549586031608433712985833<145>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=537731987
Step 1 took 114723ms
Step 2 took 36725ms
********** Factor found in step 2: 10710145999526071543044169922432382535837
Found probable prime factor of 41 digits: 10710145999526071543044169922432382535837

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2318Dmitry DomanovApril 18, 2013 15:59:38 UTC 2013 年 4 月 19 日 (金) 0 時 59 分 38 秒 (日本時間)

62×10233-539

c220

composite cofactor 合成数の残り
4675385645761704899812133992274734824570964239088839958986349629081814212242592343873982245867474919648720474652204728567643179416755725843274583184097641984489892880293344290643189320065249009608305399391268837989341843<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 18, 2013 15:59:48 UTC 2013 年 4 月 19 日 (金) 0 時 59 分 48 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 26, 2013 13:32:20 UTC 2013 年 4 月 26 日 (金) 22 時 32 分 20 秒 (日本時間)

62×10236-539

c174

name 名前Dmitry Domanov
date 日付April 26, 2013 08:18:04 UTC 2013 年 4 月 26 日 (金) 17 時 18 分 4 秒 (日本時間)
composite number 合成数
149179718119949917648286790597602817954167514908094481045717353710398976724154793114501939204013021221416641157429349060033110472330713239736646101495937848577724618706302037<174>
prime factors 素因数
2277182526903558690306782091769118911891<40>
65510654660959398351579669029046391449933803639352767031110288752714849506847259791817265958971774522868617373518715524311998675666807<134>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1783047808
Step 1 took 102348ms
Step 2 took 13290ms
********** Factor found in step 2: 2277182526903558690306782091769118911891
Found probable prime factor of 40 digits: 2277182526903558690306782091769118911891

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2318Dmitry DomanovApril 18, 2013 15:59:58 UTC 2013 年 4 月 19 日 (金) 0 時 59 分 58 秒 (日本時間)

62×10237-539

c233

composite cofactor 合成数の残り
16050570688396032816686173287656515716226945749847713738589532801541683202637678300482733857462130361181850118217630723484651382899048900134643577661851236579975463337260545548542491685416063152264774356158539253094459420662417407517<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 18, 2013 16:00:07 UTC 2013 年 4 月 19 日 (金) 1 時 0 分 7 秒 (日本時間)
4511e639501000Dmitry DomanovApril 26, 2013 13:32:37 UTC 2013 年 4 月 26 日 (金) 22 時 32 分 37 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:17:14 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 14 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:49 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 49 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:29 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 29 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:22 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 22 秒 (日本時間)
5043e687 / 6628KTakahashiSeptember 16, 2014 10:55:59 UTC 2014 年 9 月 16 日 (火) 19 時 55 分 59 秒 (日本時間)

62×10238-539

c228

name 名前Dmitry Domanov
date 日付April 18, 2013 11:37:21 UTC 2013 年 4 月 18 日 (木) 20 時 37 分 21 秒 (日本時間)
composite number 合成数
192526633906476732006945505821322199537180742794288606926465393641182078287676373776595025736600142733038884847143866129776657782360357780015368194272549297279251198254200577801730472279678077475202640735687098476259402369787351<228>
prime factors 素因数
155557922463478923529532933304477619<36>
composite cofactor 合成数の残り
1237652386053671611883783511529973643728425477352927695439734363333137308799047175109236065975079647168287722352476398270993641959580415751574150105864623090624606085959605834035865439129335629<193>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=654327235
Step 1 took 43164ms
********** Factor found in step 1: 155557922463478923529532933304477619
Found probable prime factor of 36 digits: 155557922463478923529532933304477619

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 18, 2013 16:00:16 UTC 2013 年 4 月 19 日 (金) 1 時 0 分 16 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 26, 2013 13:32:47 UTC 2013 年 4 月 26 日 (金) 22 時 32 分 47 秒 (日本時間)

62×10239-539

c212

composite cofactor 合成数の残り
47358540414230348223353198367656692638516491226957863611064775120773557402639428804301285775211168740887925951498700150684881168831636575190707285891156937981765960470274736427232845157727487530066770634734499491<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 18, 2013 16:00:25 UTC 2013 年 4 月 19 日 (金) 1 時 0 分 25 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 26, 2013 13:32:56 UTC 2013 年 4 月 26 日 (金) 22 時 32 分 56 秒 (日本時間)

62×10240-539

c210

composite cofactor 合成数の残り
243126877585725822878255673247307681587954378308053557493239981717918045248168862555415666404130718922837011375648725111940399284372007440452890338631511680028284958257312820066029227252970470830635230545160783<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 18, 2013 16:00:35 UTC 2013 年 4 月 19 日 (金) 1 時 0 分 35 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 26, 2013 13:33:10 UTC 2013 年 4 月 26 日 (金) 22 時 33 分 10 秒 (日本時間)

62×10241-539

c233

name 名前Warut Roonguthai
date 日付April 15, 2013 15:40:15 UTC 2013 年 4 月 16 日 (火) 0 時 40 分 15 秒 (日本時間)
composite number 合成数
41939213865003666117394667695433418170620015691977612607638327505876522815874047022997026794720693842105253093195450223653301029310222836139798952225436229141694245029553555778437990158664345280581606502420065233404544691189960281663<233>
prime factors 素因数
69502409208025357719865457221211<32>
composite cofactor 合成数の残り
603421008608159106341196838621927885388624947825649651832640431264047791173427777143123071281668062194883500722653417335509304219308491133012829517308155378029394695347798036747384299603367272060394733<201>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=697653732
Step 1 took 19657ms
Step 2 took 10420ms
********** Factor found in step 2: 69502409208025357719865457221211
Found probable prime factor of 32 digits: 69502409208025357719865457221211
Composite cofactor 603421008608159106341196838621927885388624947825649651832640431264047791173427777143123071281668062194883500722653417335509304219308491133012829517308155378029394695347798036747384299603367272060394733 has 201 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 18, 2013 16:00:46 UTC 2013 年 4 月 19 日 (金) 1 時 0 分 46 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 26, 2013 13:33:19 UTC 2013 年 4 月 26 日 (金) 22 時 33 分 19 秒 (日本時間)

62×10242-539

c209

name 名前Warut Roonguthai
date 日付April 15, 2013 11:02:35 UTC 2013 年 4 月 15 日 (月) 20 時 2 分 35 秒 (日本時間)
composite number 合成数
11560074410764566913681694356128595676179301360514673047746150714964860063538835531413810891736974362808628003516161886690649482494398895983962213540873896322040679981164827602341826243706086060851518039624057<209>
prime factors 素因数
17200400637408021307031366240007349<35>
672081694749790918033372140460440921272226607031750611219335105459155760449144198042708886557574882184468717002685849153963464854206575492656678916931024467065777637529149493<174>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1318461858
Step 1 took 14835ms
Step 2 took 8955ms
********** Factor found in step 2: 17200400637408021307031366240007349
Found probable prime factor of 35 digits: 17200400637408021307031366240007349
Probable prime cofactor 672081694749790918033372140460440921272226607031750611219335105459155760449144198042708886557574882184468717002685849153963464854206575492656678916931024467065777637529149493 has 174 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)

62×10243-539

c237

composite cofactor 合成数の残り
135416868631643622832735195932515842228348699773422024305663602381686549434055666349487598185720614019134853471117987754431669369947748156276946113987005017245218092372480845180185259493371727597584993911624824175666029466959606552491157<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 18, 2013 16:01:05 UTC 2013 年 4 月 19 日 (金) 1 時 1 分 5 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 26, 2013 13:33:29 UTC 2013 年 4 月 26 日 (金) 22 時 33 分 29 秒 (日本時間)

62×10244-539

c244

name 名前Dmitry Domanov
date 日付May 13, 2013 05:32:49 UTC 2013 年 5 月 13 日 (月) 14 時 32 分 49 秒 (日本時間)
composite number 合成数
7654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987<244>
prime factors 素因数
45202821439420017605421525323756294557842119<44>
composite cofactor 合成数の残り
169332814720702775649942867150622128396667435287773447576044376689276242997321362556749220420988109257731648044711793655844234073747411503475336748850215231154812126875306329522701557845167047016877773<201>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1725433713
Step 1 took 407390ms
Step 2 took 94655ms
********** Factor found in step 2: 45202821439420017605421525323756294557842119
Found probable prime factor of 44 digits: 45202821439420017605421525323756294557842119

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 18, 2013 16:01:16 UTC 2013 年 4 月 19 日 (金) 1 時 1 分 16 秒 (日本時間)
4511e61000 / 2500Dmitry DomanovApril 26, 2013 13:33:38 UTC 2013 年 4 月 26 日 (金) 22 時 33 分 38 秒 (日本時間)
5043e6500 / 7291Dmitry DomanovMay 8, 2013 16:22:34 UTC 2013 年 5 月 9 日 (木) 1 時 22 分 34 秒 (日本時間)

62×10246-539

c202

composite cofactor 合成数の残り
4315741980891575996411106506091900043231745856326838944958669043601331503510161208630118325373228291557173997883605989060824917063586029527667747880070020726058839275023225484996356016401270440146600831<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 18, 2013 16:01:24 UTC 2013 年 4 月 19 日 (金) 1 時 1 分 24 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 26, 2013 13:33:48 UTC 2013 年 4 月 26 日 (金) 22 時 33 分 48 秒 (日本時間)

62×10247-539

c246

name 名前Dmitry Domanov
date 日付April 29, 2013 06:13:39 UTC 2013 年 4 月 29 日 (月) 15 時 13 分 39 秒 (日本時間)
composite number 合成数
468631897203325774754346182917611489040060468631897203325774754346182917611489040060468631897203325774754346182917611489040060468631897203325774754346182917611489040060468631897203325774754346182917611489040060468631897203325774754346182917611489<246>
prime factors 素因数
8260933794828336553069326996627337065748756427<46>
56728683323513309438584971074541112495110208802407035975611381347647844040677454452346591943420070598919582632326276771843253606136470439934152035237510119294718807632390659556776529319910091424389507<200>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2338600856
Step 1 took 135513ms
Step 2 took 53079ms
********** Factor found in step 2: 8260933794828336553069326996627337065748756427
Found probable prime factor of 46 digits: 8260933794828336553069326996627337065748756427

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 18, 2013 16:01:33 UTC 2013 年 4 月 19 日 (金) 1 時 1 分 33 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 26, 2013 13:33:57 UTC 2013 年 4 月 26 日 (金) 22 時 33 分 57 秒 (日本時間)

62×10248-539

c243

composite cofactor 合成数の残り
670432551187254947440791343980451051881639242190623222204812602747843505038679092160794380391102235449207651452064991731512092494604910312885464924969406108137959015160534533710375949378449551194067407235113450704446189731763180298452782246427<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 18, 2013 16:01:43 UTC 2013 年 4 月 19 日 (金) 1 時 1 分 43 秒 (日本時間)
4511e61000Dmitry DomanovApril 26, 2013 13:34:07 UTC 2013 年 4 月 26 日 (金) 22 時 34 分 7 秒 (日本時間)
5043e6940 / 7291640Dmitry DomanovMay 2, 2013 22:57:35 UTC 2013 年 5 月 3 日 (金) 7 時 57 分 35 秒 (日本時間)
300Dmitry DomanovMay 8, 2013 16:22:03 UTC 2013 年 5 月 9 日 (木) 1 時 22 分 3 秒 (日本時間)

62×10249-539

c218

composite cofactor 合成数の残り
47971564281015880532824716661555013856722582358863764633391010848493669285036227240139007604254375728970535977728625344196851268592731468001818327052377479192615691983205584894538940208605452684830546286503329757893957<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 18, 2013 16:01:55 UTC 2013 年 4 月 19 日 (金) 1 時 1 分 55 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 26, 2013 13:34:16 UTC 2013 年 4 月 26 日 (金) 22 時 34 分 16 秒 (日本時間)

62×10250-539

c209

composite cofactor 合成数の残り
29657722553882943666284921754506252613607294711842450203435801782542958588116594211190294400767115072590096087120886663471507513422101689272670938488875884991799215830042999756291311122746304449594030617957943<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 13, 2013 12:00:00 UTC 2013 年 4 月 13 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 18, 2013 16:02:12 UTC 2013 年 4 月 19 日 (金) 1 時 2 分 12 秒 (日本時間)
4511e61600Dmitry DomanovApril 19, 2013 13:37:08 UTC 2013 年 4 月 19 日 (金) 22 時 37 分 8 秒 (日本時間)
5043e6500 / 6847Dmitry DomanovMay 2, 2013 19:49:12 UTC 2013 年 5 月 3 日 (金) 4 時 49 分 12 秒 (日本時間)
5511e7128 / 17483Dmitry DomanovMay 6, 2013 11:09:40 UTC 2013 年 5 月 6 日 (月) 20 時 9 分 40 秒 (日本時間)