Table of contents 目次

13×10106-73

c91

name 名前Robert Backstrom
date 日付December 23, 2008 05:38:58 UTC 2008 年 12 月 23 日 (火) 14 時 38 分 58 秒 (日本時間)
composite number 合成数
1549352512275633183368088459353775952136320751322520942606357553923121412953602781723691949<91>
prime factors 素因数
57847164065344667246749592041001<32>
26783551748975471064496580057189581449979924547068814782949<59>
factorization results 素因数分解の結果
Number: n
N=1549352512275633183368088459353775952136320751322520942606357553923121412953602781723691949
  ( 91 digits)
SNFS difficulty: 107 digits.
Divisors found:
 r1=57847164065344667246749592041001 (pp32)
 r2=26783551748975471064496580057189581449979924547068814782949 (pp59)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.65 hours.
Scaled time: 1.18 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_4_3_105_1
n: 1549352512275633183368088459353775952136320751322520942606357553923121412953602781723691949
type: snfs
skew: 0.56
deg: 5
c5: 130
c0: -7
m: 1000000000000000000000
rlim: 450000
alim: 450000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 2000
Factor base limits: 450000/450000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [225000, 271001)
Primes: RFBsize:37706, AFBsize:37704, largePrimes:4143192 encountered
Relations: rels:3498691, finalFF:97136
Max relations in full relation-set: 48
Initial matrix: 75477 x 97136 with sparse part having weight 10956977.
Pruned matrix : 70519 x 70960 with weight 5601496.
Total sieving time: 0.56 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.02 hours.
Total square root time: 0.01 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,107,5,0,0,0,0,0,0,0,0,450000,450000,28,28,56,56,2.5,2.5,50000
total time: 0.65 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
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

13×10109-73

c104

name 名前Robert Backstrom
date 日付December 23, 2008 10:01:25 UTC 2008 年 12 月 23 日 (火) 19 時 1 分 25 秒 (日本時間)
composite number 合成数
19043994410441148270827281371648092179964575240551285550193450360143908141146468972425614524063478614107<104>
prime factors 素因数
3407814690944317539762588740159<31>
5588330392801960092177439750747650769278886747644606354321657148324217573<73>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 19043994410441148270827281371648092179964575240551285550193450360143908141146468972425614524063478614107 (104 digits)
Using B1=714000, B2=696728352, polynomial Dickson(3), sigma=1623556616
Step 1 took 4969ms
Step 2 took 2609ms
********** Factor found in step 2: 3407814690944317539762588740159
Found probable prime factor of 31 digits: 3407814690944317539762588740159
Probable prime cofactor 5588330392801960092177439750747650769278886747644606354321657148324217573 has 73 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

13×10116-73

c108

name 名前Sinkiti Sibata
date 日付December 23, 2008 10:26:03 UTC 2008 年 12 月 23 日 (火) 19 時 26 分 3 秒 (日本時間)
composite number 合成数
100442354301686248318155650268889154362152020216994424474504576240621884645894815542260238572668695980350393<108>
prime factors 素因数
20912340313401736804695249831314117167056127139<47>
4803018351672359716761183080233491333287524164537900935628787<61>
factorization results 素因数分解の結果
Number: 43331_116
N=100442354301686248318155650268889154362152020216994424474504576240621884645894815542260238572668695980350393
  ( 108 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=20912340313401736804695249831314117167056127139
 r2=4803018351672359716761183080233491333287524164537900935628787
Version: 
Total time: 1.52 hours.
Scaled time: 3.02 units (timescale=1.991).
Factorization parameters were as follows:
name: 43331_116
n: 100442354301686248318155650268889154362152020216994424474504576240621884645894815542260238572668695980350393
m: 200000000000000000000000
deg: 5
c5: 65
c0: -112
skew: 1.11
type: snfs
lss: 1
rlim: 660000
alim: 660000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 660000/660000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [330000, 530001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 68965 x 69199
Total sieving time: 1.52 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,118,5,0,0,0,0,0,0,0,0,660000,660000,25,25,45,45,2.2,2.2,50000
total time: 1.52 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
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

13×10119-73

c117

name 名前Sinkiti Sibata
date 日付December 23, 2008 11:20:38 UTC 2008 年 12 月 23 日 (火) 20 時 20 分 38 秒 (日本時間)
composite number 合成数
148351021339723838867967591007645783407508844003195252767317128837156225037087755334930959716991897751911445851877211<117>
prime factors 素因数
113514518603811468544415778265029062834435682901<48>
1306890282973394626750519136011642653347252960413338529753654668995311<70>
factorization results 素因数分解の結果
Number: 43331_119
N=148351021339723838867967591007645783407508844003195252767317128837156225037087755334930959716991897751911445851877211
  ( 117 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=113514518603811468544415778265029062834435682901
 r2=1306890282973394626750519136011642653347252960413338529753654668995311
Version: 
Total time: 2.19 hours.
Scaled time: 4.38 units (timescale=1.997).
Factorization parameters were as follows:
name: 43331_119
n: 148351021339723838867967591007645783407508844003195252767317128837156225037087755334930959716991897751911445851877211
m: 1000000000000000000000000
deg: 5
c5: 13
c0: -70
skew: 1.40
type: snfs
lss: 1
rlim: 730000
alim: 730000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 730000/730000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [365000, 665001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 87580 x 87818
Total sieving time: 2.19 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,121,5,0,0,0,0,0,0,0,0,730000,730000,25,25,46,46,2.2,2.2,50000
total time: 2.19 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
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

13×10124-73

c115

name 名前Robert Backstrom
date 日付December 23, 2008 20:13:06 UTC 2008 年 12 月 24 日 (水) 5 時 13 分 6 秒 (日本時間)
composite number 合成数
6269196423822103232539740936099023112203802212838271361405353100480408276012089605380855071374200647972655269420633<115>
prime factors 素因数
1498047185326462845874791264840983789868623<43>
4184912521601170246850918800640022065043403650310690001096570127074950871<73>
factorization results 素因数分解の結果
Number: n
N=6269196423822103232539740936099023112203802212838271361405353100480408276012089605380855071374200647972655269420633
  ( 115 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=1498047185326462845874791264840983789868623 (pp43)
 r2=4184912521601170246850918800640022065043403650310690001096570127074950871 (pp73)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.99 hours.
Scaled time: 3.64 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_4_3_123_1
n: 6269196423822103232539740936099023112203802212838271361405353100480408276012089605380855071374200647972655269420633
type: snfs
skew: 1.40
deg: 5
c5: 13
c0: -70
m: 10000000000000000000000000
rlim: 650000
alim: 650000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 650000/650000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [325000, 605001)
Primes: RFBsize:52831, AFBsize:53207, largePrimes:6633415 encountered
Relations: rels:5890129, finalFF:152374
Max relations in full relation-set: 48
Initial matrix: 106103 x 152374 with sparse part having weight 24339461.
Pruned matrix : 100481 x 101075 with weight 12235988.
Total sieving time: 1.78 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.08 hours.
Total square root time: 0.04 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,650000,650000,28,28,56,56,2.5,2.5,50000
total time: 1.99 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
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

13×10125-73

c110

name 名前Serge Batalov
date 日付December 23, 2008 14:08:11 UTC 2008 年 12 月 23 日 (火) 23 時 8 分 11 秒 (日本時間)
composite number 合成数
30718096214260565396870102557694086018037165181434351721059131933001350211212314245444509148935415858799681197<110>
prime factors 素因数
756960282992795240590601586497232434921<39>
40580855963552503455078830310304821124582047703016518551277824518526757<71>
factorization results 素因数分解の結果
SNFS difficulty: 126 digits.
Divisors found:
 r1=756960282992795240590601586497232434921 (pp39)
 r2=40580855963552503455078830310304821124582047703016518551277824518526757 (pp71)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.951).
Factorization parameters were as follows:
n: 30718096214260565396870102557694086018037165181434351721059131933001350211212314245444509148935415858799681197
m: 10000000000000000000000000
deg: 5
c5: 13
c0: -7
skew: 0.88
type: snfs
lss: 1
rlim: 890000
alim: 890000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 890000/890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [445000, 695001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 125763 x 125999
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,890000,890000,26,26,49,49,2.3,2.3,50000
total time: 1.30 hours.
software ソフトウェア
Msieve-1.39
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

13×10126-73

c99

name 名前Sinkiti Sibata
date 日付December 24, 2008 06:19:43 UTC 2008 年 12 月 24 日 (水) 15 時 19 分 43 秒 (日本時間)
composite number 合成数
423561055534110855772718836647845940152748087470775841943157918715306066768867674318721107189592069<99>
prime factors 素因数
30490364046617984017424864824609<32>
13891636547419071980552984173367140215460386040448597016954924515941<68>
factorization results 素因数分解の結果
Wed Dec 24 06:14:06 2008  Msieve v. 1.39
Wed Dec 24 06:14:06 2008  random seeds: 638a2880 0697d978
Wed Dec 24 06:14:06 2008  factoring 423561055534110855772718836647845940152748087470775841943157918715306066768867674318721107189592069 (99 digits)
Wed Dec 24 06:14:07 2008  searching for 15-digit factors
Wed Dec 24 06:14:09 2008  commencing quadratic sieve (99-digit input)
Wed Dec 24 06:14:09 2008  using multiplier of 1
Wed Dec 24 06:14:09 2008  using 32kb Intel Core sieve core
Wed Dec 24 06:14:09 2008  sieve interval: 36 blocks of size 32768
Wed Dec 24 06:14:09 2008  processing polynomials in batches of 6
Wed Dec 24 06:14:09 2008  using a sieve bound of 2612251 (95257 primes)
Wed Dec 24 06:14:09 2008  using large prime bound of 391837650 (28 bits)
Wed Dec 24 06:14:09 2008  using double large prime bound of 2934884765895450 (43-52 bits)
Wed Dec 24 06:14:09 2008  using trial factoring cutoff of 52 bits
Wed Dec 24 06:14:09 2008  polynomial 'A' values have 13 factors
Wed Dec 24 14:57:37 2008  95665 relations (22800 full + 72865 combined from 1444038 partial), need 95353
Wed Dec 24 14:57:39 2008  begin with 1466838 relations
Wed Dec 24 14:57:40 2008  reduce to 252523 relations in 11 passes
Wed Dec 24 14:57:40 2008  attempting to read 252523 relations
Wed Dec 24 14:57:45 2008  recovered 252523 relations
Wed Dec 24 14:57:45 2008  recovered 241794 polynomials
Wed Dec 24 14:57:45 2008  attempting to build 95665 cycles
Wed Dec 24 14:57:45 2008  found 95665 cycles in 6 passes
Wed Dec 24 14:57:45 2008  distribution of cycle lengths:
Wed Dec 24 14:57:45 2008     length 1 : 22800
Wed Dec 24 14:57:45 2008     length 2 : 16294
Wed Dec 24 14:57:45 2008     length 3 : 15927
Wed Dec 24 14:57:45 2008     length 4 : 13040
Wed Dec 24 14:57:45 2008     length 5 : 10046
Wed Dec 24 14:57:45 2008     length 6 : 6811
Wed Dec 24 14:57:45 2008     length 7 : 4397
Wed Dec 24 14:57:45 2008     length 9+: 6350
Wed Dec 24 14:57:45 2008  largest cycle: 23 relations
Wed Dec 24 14:57:45 2008  matrix is 95257 x 95665 (25.5 MB) with weight 6314404 (66.01/col)
Wed Dec 24 14:57:45 2008  sparse part has weight 6314404 (66.01/col)
Wed Dec 24 14:57:47 2008  filtering completed in 3 passes
Wed Dec 24 14:57:47 2008  matrix is 91395 x 91459 (24.5 MB) with weight 6046936 (66.12/col)
Wed Dec 24 14:57:47 2008  sparse part has weight 6046936 (66.12/col)
Wed Dec 24 14:57:47 2008  saving the first 48 matrix rows for later
Wed Dec 24 14:57:47 2008  matrix is 91347 x 91459 (14.3 MB) with weight 4688883 (51.27/col)
Wed Dec 24 14:57:47 2008  sparse part has weight 3211621 (35.12/col)
Wed Dec 24 14:57:47 2008  matrix includes 64 packed rows
Wed Dec 24 14:57:47 2008  using block size 36583 for processor cache size 1024 kB
Wed Dec 24 14:57:48 2008  commencing Lanczos iteration
Wed Dec 24 14:57:48 2008  memory use: 14.5 MB
Wed Dec 24 14:58:43 2008  lanczos halted after 1447 iterations (dim = 91341)
Wed Dec 24 14:58:43 2008  recovered 13 nontrivial dependencies
Wed Dec 24 14:58:44 2008  prp32 factor: 30490364046617984017424864824609
Wed Dec 24 14:58:44 2008  prp68 factor: 13891636547419071980552984173367140215460386040448597016954924515941
Wed Dec 24 14:58:44 2008  elapsed time 08:44:38

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

13×10129-73

c100

name 名前Jo Yeong Uk
date 日付December 23, 2008 22:27:45 UTC 2008 年 12 月 24 日 (水) 7 時 27 分 45 秒 (日本時間)
composite number 合成数
5467486804072968524263441446230274033369319439416686948461744728066650046424741948248473440936163313<100>
prime factors 素因数
346643489439315219050321521524858945557<39>
15772651068440529298755132621651886781971748870337901617836909<62>
factorization results 素因数分解の結果
Number: 43331_129
N=5467486804072968524263441446230274033369319439416686948461744728066650046424741948248473440936163313
  ( 100 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=346643489439315219050321521524858945557
 r2=15772651068440529298755132621651886781971748870337901617836909
Version: 
Total time: 1.74 hours.
Scaled time: 4.16 units (timescale=2.391).
Factorization parameters were as follows:
n: 5467486804072968524263441446230274033369319439416686948461744728066650046424741948248473440936163313
m: 100000000000000000000000000
deg: 5
c5: 13
c0: -70
skew: 1.40
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, 1000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 2953047
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 157950 x 158195
Total sieving time: 1.54 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1000000,1000000,26,26,47,47,2.3,2.3,50000
total time: 1.74 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: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
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
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

13×10134-73

c87

name 名前Robert Backstrom
date 日付December 23, 2008 09:32:13 UTC 2008 年 12 月 23 日 (火) 18 時 32 分 13 秒 (日本時間)
composite number 合成数
291281695137860183482012662507685449765126395405237570140944533477572342538205183919109<87>
prime factors 素因数
69478828398569728593459721798867<32>
4192380641004827675507764758323249935285647811508989127<55>
factorization results 素因数分解の結果
Tue Dec 23 19:41:18 2008  
Tue Dec 23 19:41:18 2008  
Tue Dec 23 19:41:18 2008  Msieve v. 1.39
Tue Dec 23 19:41:18 2008  random seeds: baed84ac 587f7957
Tue Dec 23 19:41:18 2008  factoring 291281695137860183482012662507685449765126395405237570140944533477572342538205183919109 (87 digits)
Tue Dec 23 19:41:18 2008  searching for 15-digit factors
Tue Dec 23 19:41:19 2008  commencing quadratic sieve (87-digit input)
Tue Dec 23 19:41:19 2008  using multiplier of 29
Tue Dec 23 19:41:19 2008  using 64kb Opteron sieve core
Tue Dec 23 19:41:19 2008  sieve interval: 10 blocks of size 65536
Tue Dec 23 19:41:19 2008  processing polynomials in batches of 11
Tue Dec 23 19:41:19 2008  using a sieve bound of 1489667 (56642 primes)
Tue Dec 23 19:41:19 2008  using large prime bound of 119173360 (26 bits)
Tue Dec 23 19:41:19 2008  using double large prime bound of 344447000754720 (42-49 bits)
Tue Dec 23 19:41:19 2008  using trial factoring cutoff of 49 bits
Tue Dec 23 19:41:19 2008  polynomial 'A' values have 11 factors
Tue Dec 23 20:13:40 2008  56750 relations (16023 full + 40727 combined from 592860 partial), need 56738
Tue Dec 23 20:13:40 2008  begin with 608883 relations
Tue Dec 23 20:13:41 2008  reduce to 135001 relations in 8 passes
Tue Dec 23 20:13:41 2008  attempting to read 135001 relations
Tue Dec 23 20:13:42 2008  recovered 135001 relations
Tue Dec 23 20:13:42 2008  recovered 113426 polynomials
Tue Dec 23 20:13:42 2008  attempting to build 56750 cycles
Tue Dec 23 20:13:42 2008  found 56750 cycles in 6 passes
Tue Dec 23 20:13:42 2008  distribution of cycle lengths:
Tue Dec 23 20:13:42 2008     length 1 : 16023
Tue Dec 23 20:13:42 2008     length 2 : 11360
Tue Dec 23 20:13:42 2008     length 3 : 9954
Tue Dec 23 20:13:42 2008     length 4 : 7463
Tue Dec 23 20:13:42 2008     length 5 : 5058
Tue Dec 23 20:13:42 2008     length 6 : 3100
Tue Dec 23 20:13:42 2008     length 7 : 1796
Tue Dec 23 20:13:42 2008     length 9+: 1996
Tue Dec 23 20:13:42 2008  largest cycle: 19 relations
Tue Dec 23 20:13:42 2008  matrix is 56642 x 56750 (13.3 MB) with weight 3250880 (57.28/col)
Tue Dec 23 20:13:42 2008  sparse part has weight 3250880 (57.28/col)
Tue Dec 23 20:13:43 2008  filtering completed in 3 passes
Tue Dec 23 20:13:43 2008  matrix is 52021 x 52085 (12.3 MB) with weight 3026197 (58.10/col)
Tue Dec 23 20:13:43 2008  sparse part has weight 3026197 (58.10/col)
Tue Dec 23 20:13:43 2008  saving the first 48 matrix rows for later
Tue Dec 23 20:13:43 2008  matrix is 51973 x 52085 (8.6 MB) with weight 2442834 (46.90/col)
Tue Dec 23 20:13:43 2008  sparse part has weight 1949032 (37.42/col)
Tue Dec 23 20:13:43 2008  matrix includes 64 packed rows
Tue Dec 23 20:13:43 2008  using block size 20834 for processor cache size 1024 kB
Tue Dec 23 20:13:44 2008  commencing Lanczos iteration
Tue Dec 23 20:13:44 2008  memory use: 8.0 MB
Tue Dec 23 20:13:59 2008  lanczos halted after 823 iterations (dim = 51967)
Tue Dec 23 20:13:59 2008  recovered 13 nontrivial dependencies
Tue Dec 23 20:14:00 2008  prp32 factor: 69478828398569728593459721798867
Tue Dec 23 20:14:00 2008  prp55 factor: 4192380641004827675507764758323249935285647811508989127
Tue Dec 23 20:14:00 2008  elapsed time 00:32:42

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

13×10135-73

c117

name 名前Robert Backstrom
date 日付December 24, 2008 04:33:32 UTC 2008 年 12 月 24 日 (水) 13 時 33 分 32 秒 (日本時間)
composite number 合成数
534343076083794997371281760082808935626601181033359381519995052241174855210527261550171279430169719357538447850770517<117>
prime factors 素因数
7462194341926544919338500194924283255312005077<46>
71606695242654519563333342916952318853502485124430637614152778256430721<71>
factorization results 素因数分解の結果
Number: n
N=534343076083794997371281760082808935626601181033359381519995052241174855210527261550171279430169719357538447850770517
  ( 117 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=7462194341926544919338500194924283255312005077 (pp46)
 r2=71606695242654519563333342916952318853502485124430637614152778256430721 (pp71)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 3.56 hours.
Scaled time: 6.51 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_4_3_134_1
n: 534343076083794997371281760082808935626601181033359381519995052241174855210527261550171279430169719357538447850770517
type: snfs
skew: 0.88
deg: 5
c5: 13
c0: -7
m: 1000000000000000000000000000
rlim: 1000000
alim: 1000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [500000, 1020001)
Primes: RFBsize:78498, AFBsize:78306, largePrimes:9031572 encountered
Relations: rels:8076284, finalFF:178919
Max relations in full relation-set: 48
Initial matrix: 156869 x 178919 with sparse part having weight 27811347.
Pruned matrix : 154011 x 154859 with weight 21176060.
Total sieving time: 3.13 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.26 hours.
Total square root time: 0.03 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1000000,1000000,28,28,56,56,2.5,2.5,75000
total time: 3.56 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
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

13×10136-73

c117

name 名前Sinkiti Sibata
date 日付December 24, 2008 10:47:05 UTC 2008 年 12 月 24 日 (水) 19 時 47 分 5 秒 (日本時間)
composite number 合成数
264268503880925151311871568681403279980594971164576904562485281555967178805595058087289716052263653659523810732303893<117>
prime factors 素因数
153868017024233492936781291144992798777<39>
1717501200001193868071551512936241855900994787663081370386972669289649929323709<79>
factorization results 素因数分解の結果
Number: 43331_136
N=264268503880925151311871568681403279980594971164576904562485281555967178805595058087289716052263653659523810732303893
  ( 117 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=153868017024233492936781291144992798777
 r2=1717501200001193868071551512936241855900994787663081370386972669289649929323709
Version: 
Total time: 4.87 hours.
Scaled time: 12.50 units (timescale=2.564).
Factorization parameters were as follows:
name: 43331_136
n: 264268503880925151311871568681403279980594971164576904562485281555967178805595058087289716052263653659523810732303893
m: 2000000000000000000000000000
deg: 5
c5: 65
c0: -112
skew: 1.11
type: snfs
lss: 1
rlim: 1410000
alim: 1410000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1410000/1410000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [705000, 1380001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 194934 x 195182
Total sieving time: 4.87 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,138,5,0,0,0,0,0,0,0,0,1410000,1410000,26,26,48,48,2.3,2.3,75000
total time: 4.87 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
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

13×10138-73

c122

name 名前Sinkiti Sibata
date 日付December 24, 2008 05:22:24 UTC 2008 年 12 月 24 日 (水) 14 時 22 分 24 秒 (日本時間)
composite number 合成数
19888506580555862802074130987443151078615717105176811792365248436258887922009032248563497555435293494812111456084822903607<122>
prime factors 素因数
272710477884165309368820146712980890078113632640440282561<57>
72929015177053713033881917987365982816088025384408340890063152887<65>
factorization results 素因数分解の結果
Number: 43331_138
N=19888506580555862802074130987443151078615717105176811792365248436258887922009032248563497555435293494812111456084822903607
  ( 122 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=272710477884165309368820146712980890078113632640440282561
 r2=72929015177053713033881917987365982816088025384408340890063152887
Version: 
Total time: 4.53 hours.
Scaled time: 11.65 units (timescale=2.575).
Factorization parameters were as follows:
name: 43331_138
n: 19888506580555862802074130987443151078615717105176811792365248436258887922009032248563497555435293494812111456084822903607
m: 5000000000000000000000000000
deg: 5
c5: 104
c0: -175
skew: 1.11
type: snfs
lss: 1
rlim: 1540000
alim: 1540000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1540000/1540000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [770000, 1370001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 229684 x 229931
Total sieving time: 4.53 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,140,5,0,0,0,0,0,0,0,0,1540000,1540000,26,26,48,48,2.3,2.3,100000
total time: 4.53 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
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

13×10139-73

c100

name 名前Sinkiti Sibata
date 日付December 24, 2008 07:50:51 UTC 2008 年 12 月 24 日 (水) 16 時 50 分 51 秒 (日本時間)
composite number 合成数
3587287631154757617814951158449886668895226167431297560934889849904751035171338016447415764312597223<100>
prime factors 素因数
580227981425170480885365056415884167587353<42>
6182548491273330202741775652459471890874048806489022017791<58>
factorization results 素因数分解の結果
Number: 43331_139
N=3587287631154757617814951158449886668895226167431297560934889849904751035171338016447415764312597223
  ( 100 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=580227981425170480885365056415884167587353
 r2=6182548491273330202741775652459471890874048806489022017791
Version: 
Total time: 7.16 hours.
Scaled time: 18.36 units (timescale=2.564).
Factorization parameters were as follows:
name: 43331_139
n: 3587287631154757617814951158449886668895226167431297560934889849904751035171338016447415764312597223
m: 10000000000000000000000000000
deg: 5
c5: 13
c0: -70
skew: 1.40
type: snfs
lss: 1
rlim: 1570000
alim: 1570000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1570000/1570000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [785000, 1785001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 267552 x 267800
Total sieving time: 7.16 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,141,5,0,0,0,0,0,0,0,0,1570000,1570000,26,26,48,48,2.3,2.3,100000
total time: 7.16 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
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

13×10140-73

c132

name 名前Serge Batalov
date 日付December 23, 2008 17:43:53 UTC 2008 年 12 月 24 日 (水) 2 時 43 分 53 秒 (日本時間)
composite number 合成数
104352849735052573600242117298572566832474972586259539976354079321149059118299684921894039635232118915300832492670990117450639071409<132>
prime factors 素因数
1618888627972634184177225680705039794519589281<46>
64459560671406830134081826137348849162306203510285790506146547055011181477654430473489<86>
factorization results 素因数分解の結果
SNFS difficulty: 141 digits.
Divisors found:
 r1=1618888627972634184177225680705039794519589281 (pp46)
 r2=64459560671406830134081826137348849162306203510285790506146547055011181477654430473489 (pp86)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.673).
Factorization parameters were as follows:
n: 104352849735052573600242117298572566832474972586259539976354079321149059118299684921894039635232118915300832492670990117450639071409
m: 10000000000000000000000000000
deg: 5
c5: 13
c0: -7
skew: 0.88
type: snfs
lss: 1
rlim: 1570000
alim: 1570000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1570000/1570000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [785000, 1585001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 261172 x 261420
Total sieving time: 0.00 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,141,5,0,0,0,0,0,0,0,0,1570000,1570000,26,26,49,49,2.3,2.3,100000
total time: 3.90 hours.
software ソフトウェア
Msieve-1.39
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

13×10145-73

c133

name 名前Serge Batalov
date 日付December 23, 2008 13:22:11 UTC 2008 年 12 月 23 日 (火) 22 時 22 分 11 秒 (日本時間)
composite number 合成数
1399463351536678497454552444818985244067634182921218539159022624287498338487162397143862813011840518162810263402574146392331256532333<133>
prime factors 素因数
39052045075867533488696837658421<32>
composite cofactor 合成数の残り
35835853124155232087376837262708155018312446867976450226551174108265579054212486580985798592914115673<101>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2266195174
Step 1 took 9764ms
Step 2 took 10698ms
********** Factor found in step 2: 39052045075867533488696837658421
Found probable prime factor of 32 digits: 39052045075867533488696837658421
Composite cofactor has 101 digits
software ソフトウェア
GMP-ECM 6.2.1

c101

name 名前Serge Batalov
date 日付December 23, 2008 15:48:37 UTC 2008 年 12 月 24 日 (水) 0 時 48 分 37 秒 (日本時間)
composite number 合成数
35835853124155232087376837262708155018312446867976450226551174108265579054212486580985798592914115673<101>
prime factors 素因数
78208945654866767181969270770471203<35>
458206575016335709488301915918886731111651833495759452288453585491<66>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3061227314
Step 1 took 8259ms
Step 2 took 8999ms
********** Factor found in step 2: 78208945654866767181969270770471203
Found probable prime factor of 35 digits: 78208945654866767181969270770471203
Probable prime cofactor 458206575016335709488301915918886731111651833495759452288453585491 has 66 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
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

13×10149-73

c141

name 名前Sinkiti Sibata
date 日付December 25, 2008 06:23:58 UTC 2008 年 12 月 25 日 (木) 15 時 23 分 58 秒 (日本時間)
composite number 合成数
136810760319442984511388306121793604504251223416095814639746515650962970987884593570645608634044828921380847408566690807883000354617384592713<141>
prime factors 素因数
188970213715321747672299761534754833377917059582227123669<57>
723980555610444002576019194415271366760489277242380215274116190741913804171160915877<84>
factorization results 素因数分解の結果
Number: 43331_149
N=136810760319442984511388306121793604504251223416095814639746515650962970987884593570645608634044828921380847408566690807883000354617384592713
  ( 141 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=188970213715321747672299761534754833377917059582227123669
 r2=723980555610444002576019194415271366760489277242380215274116190741913804171160915877
Version: 
Total time: 17.52 hours.
Scaled time: 36.01 units (timescale=2.055).
Factorization parameters were as follows:
name: 43331_149
n: 136810760319442984511388306121793604504251223416095814639746515650962970987884593570645608634044828921380847408566690807883000354617384592713
m: 1000000000000000000000000000000
deg: 5
c5: 13
c0: -70
skew: 1.40
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 449125 x 449373
Total sieving time: 17.52 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,151,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 17.52 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
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

13×10152-73

c143

name 名前Serge Batalov
date 日付December 24, 2008 05:43:48 UTC 2008 年 12 月 24 日 (水) 14 時 43 分 48 秒 (日本時間)
composite number 合成数
46175219065471497544696430236163828161418409151702714305658788678833996656676372801075680683544452514045855985835996777599255062948253551329323<143>
prime factors 素因数
20031893966274074423596077442708505693053<41>
2305085038050452143230599323022197163476467261349173660893918734016736964140945346920717888247983995591<103>
factorization results 素因数分解の結果
SNFS difficulty: 154 digits.
Divisors found:
 r1=20031893966274074423596077442708505693053 (pp41)
 r2=2305085038050452143230599323022197163476467261349173660893918734016736964140945346920717888247983995591 (pp103)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.689).
Factorization parameters were as follows:
n: 46175219065471497544696430236163828161418409151702714305658788678833996656676372801075680683544452514045855985835996777599255062948253551329323
m: 2000000000000000000000000000000
deg: 5
c5: 325
c0: -56
skew: 0.70
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1300000, 2300001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 503364 x 503612
Total sieving time: 0.00 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,154,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,52,52,2.4,2.4,100000
total time: 14.00 hours.
software ソフトウェア
Msieve-1.39
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

13×10154-73

c93

name 名前Sinkiti Sibata
date 日付December 23, 2008 21:10:35 UTC 2008 年 12 月 24 日 (水) 6 時 10 分 35 秒 (日本時間)
composite number 合成数
437632738580035654262129319099138766292963493690866696448476387894541006903564451451163646691<93>
prime factors 素因数
6196057801656421501364047194416498849394697<43>
70630835377785084555386441008655114290296665265803<50>
factorization results 素因数分解の結果
Tue Dec 23 22:52:12 2008  Msieve v. 1.39
Tue Dec 23 22:52:12 2008  random seeds: 4415d7f4 e16d18f3
Tue Dec 23 22:52:12 2008  factoring 437632738580035654262129319099138766292963493690866696448476387894541006903564451451163646691 (93 digits)
Tue Dec 23 22:52:13 2008  searching for 15-digit factors
Tue Dec 23 22:52:14 2008  commencing quadratic sieve (93-digit input)
Tue Dec 23 22:52:14 2008  using multiplier of 19
Tue Dec 23 22:52:14 2008  using 32kb Intel Core sieve core
Tue Dec 23 22:52:14 2008  sieve interval: 36 blocks of size 32768
Tue Dec 23 22:52:14 2008  processing polynomials in batches of 6
Tue Dec 23 22:52:14 2008  using a sieve bound of 1923137 (71699 primes)
Tue Dec 23 22:52:14 2008  using large prime bound of 232699577 (27 bits)
Tue Dec 23 22:52:14 2008  using double large prime bound of 1148767303677169 (42-51 bits)
Tue Dec 23 22:52:14 2008  using trial factoring cutoff of 51 bits
Tue Dec 23 22:52:14 2008  polynomial 'A' values have 12 factors
Wed Dec 24 01:24:11 2008  71822 relations (18303 full + 53519 combined from 959170 partial), need 71795
Wed Dec 24 01:24:12 2008  begin with 977473 relations
Wed Dec 24 01:24:13 2008  reduce to 182815 relations in 10 passes
Wed Dec 24 01:24:13 2008  attempting to read 182815 relations
Wed Dec 24 01:24:15 2008  recovered 182815 relations
Wed Dec 24 01:24:15 2008  recovered 165366 polynomials
Wed Dec 24 01:24:15 2008  attempting to build 71822 cycles
Wed Dec 24 01:24:15 2008  found 71822 cycles in 5 passes
Wed Dec 24 01:24:15 2008  distribution of cycle lengths:
Wed Dec 24 01:24:15 2008     length 1 : 18303
Wed Dec 24 01:24:15 2008     length 2 : 13016
Wed Dec 24 01:24:15 2008     length 3 : 12483
Wed Dec 24 01:24:15 2008     length 4 : 9444
Wed Dec 24 01:24:15 2008     length 5 : 7095
Wed Dec 24 01:24:15 2008     length 6 : 4692
Wed Dec 24 01:24:15 2008     length 7 : 2928
Wed Dec 24 01:24:15 2008     length 9+: 3861
Wed Dec 24 01:24:15 2008  largest cycle: 22 relations
Wed Dec 24 01:24:16 2008  matrix is 71699 x 71822 (18.6 MB) with weight 4599586 (64.04/col)
Wed Dec 24 01:24:16 2008  sparse part has weight 4599586 (64.04/col)
Wed Dec 24 01:24:17 2008  filtering completed in 3 passes
Wed Dec 24 01:24:17 2008  matrix is 67741 x 67805 (17.7 MB) with weight 4379423 (64.59/col)
Wed Dec 24 01:24:17 2008  sparse part has weight 4379423 (64.59/col)
Wed Dec 24 01:24:17 2008  saving the first 48 matrix rows for later
Wed Dec 24 01:24:17 2008  matrix is 67693 x 67805 (11.6 MB) with weight 3510908 (51.78/col)
Wed Dec 24 01:24:17 2008  sparse part has weight 2623737 (38.70/col)
Wed Dec 24 01:24:17 2008  matrix includes 64 packed rows
Wed Dec 24 01:24:17 2008  using block size 27122 for processor cache size 1024 kB
Wed Dec 24 01:24:18 2008  commencing Lanczos iteration
Wed Dec 24 01:24:18 2008  memory use: 10.9 MB
Wed Dec 24 01:24:47 2008  lanczos halted after 1071 iterations (dim = 67691)
Wed Dec 24 01:24:47 2008  recovered 16 nontrivial dependencies
Wed Dec 24 01:24:48 2008  prp43 factor: 6196057801656421501364047194416498849394697
Wed Dec 24 01:24:48 2008  prp50 factor: 70630835377785084555386441008655114290296665265803
Wed Dec 24 01:24:48 2008  elapsed time 02:32:36

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

13×10156-73

c124

name 名前Sinkiti Sibata
date 日付December 26, 2008 09:21:56 UTC 2008 年 12 月 26 日 (金) 18 時 21 分 56 秒 (日本時間)
composite number 合成数
6699030638791358287402250465874032297664402985450649877562708199444280779852023252445956714120090595355942969673208670173947<124>
prime factors 素因数
324398260686691813162866343117371269663267936287799013143<57>
20650636734644430907618223992790982393292044921765406119716528349629<68>
factorization results 素因数分解の結果
Number: 43331_156
N=6699030638791358287402250465874032297664402985450649877562708199444280779852023252445956714120090595355942969673208670173947
  ( 124 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=324398260686691813162866343117371269663267936287799013143
 r2=20650636734644430907618223992790982393292044921765406119716528349629
Version: 
Total time: 30.15 hours.
Scaled time: 76.99 units (timescale=2.554).
Factorization parameters were as follows:
name: 43331_156
n: 6699030638791358287402250465874032297664402985450649877562708199444280779852023252445956714120090595355942969673208670173947
m: 20000000000000000000000000000000
deg: 5
c5: 65
c0: -112
skew: 1.11
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 510325 x 510573
Total sieving time: 30.15 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 30.15 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
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

13×10157-73

c148

name 名前Serge Batalov
date 日付December 24, 2008 18:35:46 UTC 2008 年 12 月 25 日 (木) 3 時 35 分 46 秒 (日本時間)
composite number 合成数
1249549956692905843078530648495289271477668421273383397930121240701021840408969782908108656684854663018608144097023393943249861817083459645496449337<148>
prime factors 素因数
123302230368263597667057025479304489207485833<45>
10134041800873407971458001266515153364324752965728397706141656301510332896590942027080433617388959869489<104>
factorization results 素因数分解の結果
SNFS difficulty: 159 digits.
Divisors found:
 r1=123302230368263597667057025479304489207485833 (pp45)
 r2=10134041800873407971458001266515153364324752965728397706141656301510332896590942027080433617388959869489 (pp104)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.525).
Factorization parameters were as follows:
n: 1249549956692905843078530648495289271477668421273383397930121240701021840408969782908108656684854663018608144097023393943249861817083459645496449337
m: 20000000000000000000000000000000
deg: 5
c5: 325
c0: -56
skew: 0.70
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1550000, 2950001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 577511 x 577759
Total sieving time: 0.00 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,159,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,52,52,2.4,2.4,100000
total time: 20.00 hours.
software ソフトウェア
Msieve-1.39
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

13×10159-73

c149

name 名前Sinkiti Sibata
date 日付December 30, 2008 05:40:31 UTC 2008 年 12 月 30 日 (火) 14 時 40 分 31 秒 (日本時間)
composite number 合成数
16541810020327083872025321485770544028139924294453159596961944801609205755724722039495199343773314721281738282611533742164756110685780090298050015967<149>
prime factors 素因数
1421529768278761348094525780374224513736072633<46>
11636625830464664858325647743978813807681829947015823061574324087054803749479569252497826886832945914199<104>
factorization results 素因数分解の結果
Number: 43331_159
N=16541810020327083872025321485770544028139924294453159596961944801609205755724722039495199343773314721281738282611533742164756110685780090298050015967
  ( 149 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=1421529768278761348094525780374224513736072633
 r2=11636625830464664858325647743978813807681829947015823061574324087054803749479569252497826886832945914199
Version: 
Total time: 44.58 hours.
Scaled time: 63.93 units (timescale=1.434).
Factorization parameters were as follows:
namee: 43331_159
n: 16541810020327083872025321485770544028139924294453159596961944801609205755724722039495199343773314721281738282611533742164756110685780090298050015967
m: 100000000000000000000000000000000
deg: 5
c5: 13
c0: -70
skew: 1.40
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 631769 x 632017
Total sieving time: 44.58 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,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 44.58 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
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

13×10161-73

c155

name 名前Sinkiti Sibata
date 日付December 31, 2008 06:58:49 UTC 2008 年 12 月 31 日 (水) 15 時 58 分 49 秒 (日本時間)
composite number 合成数
11436210616186810746733794056033051070940864173032611313454331432661520178353510635592300745384936999279263615712639063331420759064052429852989183975085529<155>
prime factors 素因数
5999983234384257158361269946239766294623194084668988312408091792411844581<73>
1906040428688038075255133580167729965232323806993136811044332942461242515795310309<82>
factorization results 素因数分解の結果
Number: 43331_161
N=11436210616186810746733794056033051070940864173032611313454331432661520178353510635592300745384936999279263615712639063331420759064052429852989183975085529
  ( 155 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=5999983234384257158361269946239766294623194084668988312408091792411844581
 r2=1906040428688038075255133580167729965232323806993136811044332942461242515795310309
Version: 
Total time: 44.13 hours.
Scaled time: 86.81 units (timescale=1.967).
Factorization parameters were as follows:
name: 43331_161
n: 11436210616186810746733794056033051070940864173032611313454331432661520178353510635592300745384936999279263615712639063331420759064052429852989183975085529
m: 200000000000000000000000000000000
deg: 5
c5: 65
c0: -112
skew: 1.11
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1850000, 3350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 649756 x 650004
Total sieving time: 44.13 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 44.13 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

13×10162-73

c125

name 名前Serge Batalov
date 日付December 23, 2008 17:39:16 UTC 2008 年 12 月 24 日 (水) 2 時 39 分 16 秒 (日本時間)
composite number 合成数
23198971587549035713406698366223234277045938296204517584841413786880765504564822478161483396315533938186475994696347135060501<125>
prime factors 素因数
35369121000324091221140788630633<32>
655910323226196685402316639620192425902591627772168768126116843748558306589316695535468462797<93>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3840470679
Step 1 took 9843ms
Step 2 took 10386ms
********** Factor found in step 2: 35369121000324091221140788630633
Found probable prime factor of 32 digits: 35369121000324091221140788630633
Probable prime cofactor 655910323226196685402316639620192425902591627772168768126116843748558306589316695535468462797 has 93 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
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

13×10163-73

c104

name 名前Jo Yeong Uk
date 日付December 23, 2008 14:53:22 UTC 2008 年 12 月 23 日 (火) 23 時 53 分 22 秒 (日本時間)
composite number 合成数
52227312788259904783285448177771151215979194504591185340103120146351292794322523024425734515127250088819<104>
prime factors 素因数
2484322471920498002597770188046418572961<40>
21022759073577810522071683163551125750312379421937000260369560979<65>
factorization results 素因数分解の結果
Number: 43331_163
N=52227312788259904783285448177771151215979194504591185340103120146351292794322523024425734515127250088819
  ( 104 digits)
Divisors found:
 r1=2484322471920498002597770188046418572961
 r2=21022759073577810522071683163551125750312379421937000260369560979
Version: 
Total time: 3.98 hours.
Scaled time: 9.53 units (timescale=2.391).
Factorization parameters were as follows:
name: 43331_163
n: 52227312788259904783285448177771151215979194504591185340103120146351292794322523024425734515127250088819
skew: 22078.67
# norm 5.99e+14
c5: 21240
c4: -1497386772
c3: -38425098620186
c2: 845882405351926079
c1: 8026727642520429063354
c0: 1072508182475386490862336
# alpha -6.69
Y1: 84046748929
Y0: -75536254703912113145
# Murphy_E 2.05e-09
# M 14288233827694019863237397998856850064401035115600452898033582468342007884707128037624699464864009909031
type: gnfs
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 50/50
Sieved algebraic special-q in [750000, 1500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 5069392
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 241075 x 241323
Total sieving time: 3.46 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,26,26,50,50,2.6,2.6,50000
total time: 3.98 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: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
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
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

13×10165-73

c164

name 名前Serge Batalov
date 日付December 25, 2008 02:21:24 UTC 2008 年 12 月 25 日 (木) 11 時 21 分 24 秒 (日本時間)
composite number 合成数
31630170316301703163017031630170316301703163017031630170316301703163017031630170316301703163017031630170316301703163017031630170316301703163017031630170316301703163<164>
prime factors 素因数
6085843468199487275442039551130758294656791892404326335166720315393967284370157<79>
5197335501903661657599518956480061122136436218334285817046668712234291023306740922759<85>
factorization results 素因数分解の結果
SNFS difficulty: 166 digits.
Divisors found:
 r1=6085843468199487275442039551130758294656791892404326335166720315393967284370157 (pp79)
 r2=5197335501903661657599518956480061122136436218334285817046668712234291023306740922759 (pp85)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.950).
Factorization parameters were as follows:
n: 31630170316301703163017031630170316301703163017031630170316301703163017031630170316301703163017031630170316301703163017031630170316301703163017031630170316301703163
m: 1000000000000000000000000000000000
deg: 5
c5: 13
c0: -7
skew: 0.88
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
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: 52/52
Sieved rational special-q in [2050000, 4050001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 746923 x 747171
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,52,52,2.4,2.4,200000
total time: 36.00 hours.
software ソフトウェア
Msieve-1.39
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

13×10166-73

c123

name 名前Robert Backstrom
date 日付March 4, 2009 17:20:50 UTC 2009 年 3 月 5 日 (木) 2 時 20 分 50 秒 (日本時間)
composite number 合成数
628733928872674059655935066886932148706683298336978421071876163430726051438205282807890104870440171098852917012474687524647<123>
prime factors 素因数
314414705694017135605799681084992228187<39>
1999696316636496215730131756790259309249856000129855091108599659958985721872494604581<85>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 628733928872674059655935066886932148706683298336978421071876163430726051438205282807890104870440171098852917012474687524647 (123 digits)
Using B1=20000000, B2=59950304286, polynomial Dickson(12), sigma=583429813
Step 1 took 231640ms
Step 2 took 77316ms
********** Factor found in step 2: 314414705694017135605799681084992228187
Found probable prime factor of 39 digits: 314414705694017135605799681084992228187
Probable prime cofactor 1999696316636496215730131756790259309249856000129855091108599659958985721872494604581 has 85 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

13×10167-73

c130

name 名前Jo Yeong Uk
date 日付June 21, 2009 14:23:07 UTC 2009 年 6 月 21 日 (日) 23 時 23 分 7 秒 (日本時間)
composite number 合成数
6771090605074307069591549228648573420714999216153608492489545679884278552852674684314455216639986692541470079887690700098181362449<130>
prime factors 素因数
278840979899609144669916444484675755961<39>
24282982392014604316378653148216272453420429843296842734094382957632012796139059509470390809<92>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 6771090605074307069591549228648573420714999216153608492489545679884278552852674684314455216639986692541470079887690700098181362449 (130 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3881612235
Step 1 took 4274ms
Step 2 took 5819ms
********** Factor found in step 2: 278840979899609144669916444484675755961
Found probable prime factor of 39 digits: 278840979899609144669916444484675755961
Probable prime cofactor 24282982392014604316378653148216272453420429843296842734094382957632012796139059509470390809 has 92 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

13×10172-73

c142

name 名前Serge Batalov
date 日付February 22, 2009 18:39:00 UTC 2009 年 2 月 23 日 (月) 3 時 39 分 0 秒 (日本時間)
composite number 合成数
1176346433075362133053919977324763748102944235647743029438198573493340184338315507705896899444262726232820856655223090541475617053379579863863<142>
prime factors 素因数
3446714640637299830656897972064937911<37>
341294988336445193728905705649852576939546047528827589956637878582237898276169125438517320288890233544833<105>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1660133444
Step 1 took 26687ms
Step 2 took 17954ms
********** Factor found in step 2: 3446714640637299830656897972064937911
Found probable prime factor of 37 digits: 3446714640637299830656897972064937911
Probable prime cofactor  has 105 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
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

13×10173-73

c162

name 名前Ignacio Santos
date 日付October 13, 2009 13:50:24 UTC 2009 年 10 月 13 日 (火) 22 時 50 分 24 秒 (日本時間)
composite number 合成数
291845699722454131828950952434067433348183921452070308492393626701016645808266368050060324324481132861030766646948380844607174467577204438194077672931174721359631<162>
prime factors 素因数
36827193780046573232594260772222003028836546657202581604583859<62>
7924733594026371980820223389077532702295260397172538624856138458497367165468734245221852075206541109<100>
factorization results 素因数分解の結果
Number: 43331_173
N=291845699722454131828950952434067433348183921452070308492393626701016645808266368050060324324481132861030766646948380844607174467577204438194077672931174721359631
  ( 162 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=36827193780046573232594260772222003028836546657202581604583859 (pp62)
 r2=7924733594026371980820223389077532702295260397172538624856138458497367165468734245221852075206541109 (pp100)
Version: Msieve-1.40
Total time: 60.95 hours.
Scaled time: 105.99 units (timescale=1.739).
Factorization parameters were as follows:
n: 291845699722454131828950952434067433348183921452070308492393626701016645808266368050060324324481132861030766646948380844607174467577204438194077672931174721359631
m: 50000000000000000000000000000000000
deg: 5
c5: 104
c0: -175
skew: 1.11
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2950000, 5850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1073147 x 1073372
Total sieving time: 58.73 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.51 hours.
Time per square root: 0.56 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 60.95 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

13×10174-73

c89

name 名前Sinkiti Sibata
date 日付December 23, 2008 13:50:07 UTC 2008 年 12 月 23 日 (火) 22 時 50 分 7 秒 (日本時間)
composite number 合成数
24000055444851197132978321002485393490269394924989129370986539182893234062802945405929639<89>
prime factors 素因数
1154850117862112282943626662349224241<37>
20781965619296732780146962236360397468436031673870679<53>
factorization results 素因数分解の結果
ue Dec 23 21:17:52 2008  Msieve v. 1.39
Tue Dec 23 21:17:52 2008  random seeds: 9d7994a0 f4a4cbfc
Tue Dec 23 21:17:52 2008  factoring 24000055444851197132978321002485393490269394924989129370986539182893234062802945405929639 (89 digits)
Tue Dec 23 21:17:53 2008  searching for 15-digit factors
Tue Dec 23 21:17:54 2008  commencing quadratic sieve (89-digit input)
Tue Dec 23 21:17:54 2008  using multiplier of 39
Tue Dec 23 21:17:54 2008  using 32kb Intel Core sieve core
Tue Dec 23 21:17:54 2008  sieve interval: 30 blocks of size 32768
Tue Dec 23 21:17:54 2008  processing polynomials in batches of 7
Tue Dec 23 21:17:54 2008  using a sieve bound of 1545007 (58667 primes)
Tue Dec 23 21:17:54 2008  using large prime bound of 123600560 (26 bits)
Tue Dec 23 21:17:54 2008  using double large prime bound of 367821176096160 (42-49 bits)
Tue Dec 23 21:17:54 2008  using trial factoring cutoff of 49 bits
Tue Dec 23 21:17:54 2008  polynomial 'A' values have 12 factors
Tue Dec 23 22:28:02 2008  58882 relations (15618 full + 43264 combined from 622557 partial), need 58763
Tue Dec 23 22:28:03 2008  begin with 638175 relations
Tue Dec 23 22:28:03 2008  reduce to 143131 relations in 9 passes
Tue Dec 23 22:28:03 2008  attempting to read 143131 relations
Tue Dec 23 22:28:05 2008  recovered 143131 relations
Tue Dec 23 22:28:05 2008  recovered 124085 polynomials
Tue Dec 23 22:28:05 2008  attempting to build 58882 cycles
Tue Dec 23 22:28:05 2008  found 58881 cycles in 5 passes
Tue Dec 23 22:28:05 2008  distribution of cycle lengths:
Tue Dec 23 22:28:05 2008     length 1 : 15618
Tue Dec 23 22:28:05 2008     length 2 : 11396
Tue Dec 23 22:28:05 2008     length 3 : 10604
Tue Dec 23 22:28:05 2008     length 4 : 7945
Tue Dec 23 22:28:05 2008     length 5 : 5461
Tue Dec 23 22:28:05 2008     length 6 : 3495
Tue Dec 23 22:28:05 2008     length 7 : 2019
Tue Dec 23 22:28:05 2008     length 9+: 2343
Tue Dec 23 22:28:05 2008  largest cycle: 17 relations
Tue Dec 23 22:28:06 2008  matrix is 58667 x 58881 (14.2 MB) with weight 3480054 (59.10/col)
Tue Dec 23 22:28:06 2008  sparse part has weight 3480054 (59.10/col)
Tue Dec 23 22:28:06 2008  filtering completed in 3 passes
Tue Dec 23 22:28:06 2008  matrix is 54828 x 54892 (13.3 MB) with weight 3262907 (59.44/col)
Tue Dec 23 22:28:06 2008  sparse part has weight 3262907 (59.44/col)
Tue Dec 23 22:28:06 2008  saving the first 48 matrix rows for later
Tue Dec 23 22:28:06 2008  matrix is 54780 x 54892 (8.1 MB) with weight 2523354 (45.97/col)
Tue Dec 23 22:28:06 2008  sparse part has weight 1787841 (32.57/col)
Tue Dec 23 22:28:06 2008  matrix includes 64 packed rows
Tue Dec 23 22:28:06 2008  using block size 21956 for processor cache size 1024 kB
Tue Dec 23 22:28:07 2008  commencing Lanczos iteration
Tue Dec 23 22:28:07 2008  memory use: 8.0 MB
Tue Dec 23 22:28:24 2008  lanczos halted after 868 iterations (dim = 54778)
Tue Dec 23 22:28:24 2008  recovered 17 nontrivial dependencies
Tue Dec 23 22:28:24 2008  prp37 factor: 1154850117862112282943626662349224241
Tue Dec 23 22:28:24 2008  prp53 factor: 20781965619296732780146962236360397468436031673870679
Tue Dec 23 22:28:24 2008  elapsed time 01:10:32

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

13×10175-73

c131

name 名前Ignacio Santos
date 日付June 18, 2010 17:33:37 UTC 2010 年 6 月 19 日 (土) 2 時 33 分 37 秒 (日本時間)
composite number 合成数
11344755767403110105798365096942586323904056348747556158198080532612229272915145420107378703722835339553370783462934275414311836939<131>
prime factors 素因数
66284995290599662180918720582599109<35>
composite cofactor 合成数の残り
171151189159275524637972429557980529012958213612151853392928058325396084997686344849568733257871<96>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1852330746
Step 1 took 67860ms
Step 2 took 35912ms
********** Factor found in step 2: 66284995290599662180918720582599109
Found probable prime factor of 35 digits: 66284995290599662180918720582599109
Composite cofactor 171151189159275524637972429557980529012958213612151853392928058325396084997686344849568733257871 has 96 digits
software ソフトウェア
GMP-ECM 6.3

c96

name 名前Dmitry Domanov
date 日付June 20, 2010 20:39:39 UTC 2010 年 6 月 21 日 (月) 5 時 39 分 39 秒 (日本時間)
composite number 合成数
171151189159275524637972429557980529012958213612151853392928058325396084997686344849568733257871<96>
prime factors 素因数
49937933878196658672182872245077950913<38>
3427278140435874936332962214184040954842970426216916325967<58>
factorization results 素因数分解の結果
Sun Jun 20 20:17:19 2010  
Sun Jun 20 20:17:19 2010  
Sun Jun 20 20:17:19 2010  Msieve v. 1.42
Sun Jun 20 20:17:19 2010  random seeds: 959bef68 a83584cc
Sun Jun 20 20:17:19 2010  factoring 2104632936815646896502247869148472624347000402121244577976222082633463832670335973077175334871 (94 digits)
Sun Jun 20 20:17:20 2010  searching for 15-digit factors
Sun Jun 20 20:17:20 2010  commencing quadratic sieve (94-digit input)
Sun Jun 20 20:17:20 2010  using multiplier of 71
Sun Jun 20 20:17:20 2010  using 32kb Intel Core sieve core
Sun Jun 20 20:17:20 2010  sieve interval: 36 blocks of size 32768
Sun Jun 20 20:17:20 2010  processing polynomials in batches of 6
Sun Jun 20 20:17:20 2010  using a sieve bound of 2025281 (74993 primes)
Sun Jun 20 20:17:20 2010  using large prime bound of 271387654 (28 bits)
Sun Jun 20 20:17:20 2010  using double large prime bound of 1515172741378278 (42-51 bits)
Sun Jun 20 20:17:20 2010  using trial factoring cutoff of 51 bits
Sun Jun 20 20:17:20 2010  polynomial 'A' values have 12 factors
Sun Jun 20 20:43:15 2010  4836 relations (4015 full + 821 combined from 221323 partial), need 75089
Sun Jun 20 20:43:15 2010  elapsed time 00:25:56
Sun Jun 20 20:46:01 2010  
Sun Jun 20 20:46:01 2010  
Sun Jun 20 20:46:01 2010  Msieve v. 1.42
Sun Jun 20 20:46:01 2010  random seeds: 862f7c88 72b2a14f
Sun Jun 20 20:46:01 2010  factoring 171151189159275524637972429557980529012958213612151853392928058325396084997686344849568733257871 (96 digits)
Sun Jun 20 20:46:01 2010  searching for 15-digit factors
Sun Jun 20 20:46:02 2010  commencing quadratic sieve (96-digit input)
Sun Jun 20 20:46:02 2010  using multiplier of 59
Sun Jun 20 20:46:02 2010  using 32kb Intel Core sieve core
Sun Jun 20 20:46:02 2010  sieve interval: 36 blocks of size 32768
Sun Jun 20 20:46:02 2010  processing polynomials in batches of 6
Sun Jun 20 20:46:02 2010  using a sieve bound of 2231351 (82288 primes)
Sun Jun 20 20:46:02 2010  using large prime bound of 334702650 (28 bits)
Sun Jun 20 20:46:02 2010  using double large prime bound of 2209970306285550 (43-51 bits)
Sun Jun 20 20:46:02 2010  using trial factoring cutoff of 51 bits
Sun Jun 20 20:46:02 2010  polynomial 'A' values have 13 factors
Mon Jun 21 00:26:57 2010  82859 relations (20527 full + 62332 combined from 1234415 partial), need 82384
Mon Jun 21 00:26:58 2010  begin with 1254942 relations
Mon Jun 21 00:26:59 2010  reduce to 215988 relations in 11 passes
Mon Jun 21 00:26:59 2010  attempting to read 215988 relations
Mon Jun 21 00:27:01 2010  recovered 215988 relations
Mon Jun 21 00:27:01 2010  recovered 202392 polynomials
Mon Jun 21 00:27:01 2010  attempting to build 82859 cycles
Mon Jun 21 00:27:01 2010  found 82859 cycles in 6 passes
Mon Jun 21 00:27:01 2010  distribution of cycle lengths:
Mon Jun 21 00:27:01 2010     length 1 : 20527
Mon Jun 21 00:27:01 2010     length 2 : 14627
Mon Jun 21 00:27:01 2010     length 3 : 13882
Mon Jun 21 00:27:01 2010     length 4 : 11064
Mon Jun 21 00:27:01 2010     length 5 : 8328
Mon Jun 21 00:27:01 2010     length 6 : 5776
Mon Jun 21 00:27:01 2010     length 7 : 3637
Mon Jun 21 00:27:01 2010     length 9+: 5018
Mon Jun 21 00:27:01 2010  largest cycle: 23 relations
Mon Jun 21 00:27:02 2010  matrix is 82288 x 82859 (22.2 MB) with weight 5490344 (66.26/col)
Mon Jun 21 00:27:02 2010  sparse part has weight 5490344 (66.26/col)
Mon Jun 21 00:27:03 2010  filtering completed in 3 passes
Mon Jun 21 00:27:03 2010  matrix is 78347 x 78411 (21.0 MB) with weight 5196991 (66.28/col)
Mon Jun 21 00:27:03 2010  sparse part has weight 5196991 (66.28/col)
Mon Jun 21 00:27:03 2010  saving the first 48 matrix rows for later
Mon Jun 21 00:27:03 2010  matrix is 78299 x 78411 (13.1 MB) with weight 4085516 (52.10/col)
Mon Jun 21 00:27:03 2010  sparse part has weight 2958478 (37.73/col)
Mon Jun 21 00:27:03 2010  matrix includes 64 packed rows
Mon Jun 21 00:27:03 2010  using block size 31364 for processor cache size 6144 kB
Mon Jun 21 00:27:03 2010  commencing Lanczos iteration
Mon Jun 21 00:27:03 2010  memory use: 13.2 MB
Mon Jun 21 00:27:38 2010  lanczos halted after 1240 iterations (dim = 78299)
Mon Jun 21 00:27:38 2010  recovered 18 nontrivial dependencies
Mon Jun 21 00:27:40 2010  prp38 factor: 49937933878196658672182872245077950913
Mon Jun 21 00:27:40 2010  prp58 factor: 3427278140435874936332962214184040954842970426216916325967
Mon Jun 21 00:27:40 2010  elapsed time 03:41:39

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 19, 2010 15:49:42 UTC 2010 年 6 月 20 日 (日) 0 時 49 分 42 秒 (日本時間)
403e6110 / 2144Ignacio SantosJune 19, 2010 15:49:42 UTC 2010 年 6 月 20 日 (日) 0 時 49 分 42 秒 (日本時間)
4511e632 / 4441Ignacio SantosJune 19, 2010 15:49:42 UTC 2010 年 6 月 20 日 (日) 0 時 49 分 42 秒 (日本時間)

13×10176-73

c130

name 名前Wataru Sakai
date 日付October 7, 2011 04:38:06 UTC 2011 年 10 月 7 日 (金) 13 時 38 分 6 秒 (日本時間)
composite number 合成数
1203136387641845254028475942334255156833648412508885063761987719472198814018147943785993362446777031877990598485271815434701012203<130>
prime factors 素因数
38058352172263298639427636411955874648505227<44>
31612939577522852348295992752401112328883976871934034437064689198696657766527727661089<86>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2015550885
Step 1 took 44438ms
Step 2 took 19046ms
********** Factor found in step 2: 38058352172263298639427636411955874648505227
Found probable prime factor of 44 digits: 38058352172263298639427636411955874648505227
Probable prime cofactor 31612939577522852348295992752401112328883976871934034437064689198696657766527727661089 has 86 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
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 23, 2010 12:44:28 UTC 2010 年 10 月 23 日 (土) 21 時 44 分 28 秒 (日本時間)
403e6880110Ignacio SantosOctober 23, 2010 12:44:28 UTC 2010 年 10 月 23 日 (土) 21 時 44 分 28 秒 (日本時間)
770Ignacio SantosJune 30, 2011 18:58:59 UTC 2011 年 7 月 1 日 (金) 3 時 58 分 59 秒 (日本時間)
4511e6252 / 405732Ignacio SantosOctober 23, 2010 12:44:28 UTC 2010 年 10 月 23 日 (土) 21 時 44 分 28 秒 (日本時間)
220Ignacio SantosJune 30, 2011 18:58:59 UTC 2011 年 7 月 1 日 (金) 3 時 58 分 59 秒 (日本時間)
5043e661 / 7462Ignacio SantosJune 30, 2011 18:58:59 UTC 2011 年 7 月 1 日 (金) 3 時 58 分 59 秒 (日本時間)

13×10180-73

c181

name 名前Jo Yeong Uk
date 日付December 27, 2008 10:19:50 UTC 2008 年 12 月 27 日 (土) 19 時 19 分 50 秒 (日本時間)
composite number 合成数
4333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331<181>
prime factors 素因数
133183810233677421714973688754211562543765317<45>
32536487173105281333067272791516917637471199207130413085188359827144021898760251672172023912689675343132715372285707394906776189397129143<137>
factorization results 素因数分解の結果
Number: 43331_180
N=4333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331
  ( 181 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=133183810233677421714973688754211562543765317
 r2=32536487173105281333067272791516917637471199207130413085188359827144021898760251672172023912689675343132715372285707394906776189397129143
Version: 
Total time: 91.31 hours.
Scaled time: 218.15 units (timescale=2.389).
Factorization parameters were as follows:
n: 4333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331
m: 1000000000000000000000000000000000000
deg: 5
c5: 13
c0: -7
skew: 0.88
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3200000, 5700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18375208
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1307433 x 1307681
Total sieving time: 84.50 hours.
Total relation processing time: 2.37 hours.
Matrix solve time: 4.11 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,53,53,2.5,2.5,100000
total time: 91.31 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: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
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
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkDecember 23, 2008 10:59:43 UTC 2008 年 12 月 23 日 (火) 19 時 59 分 43 秒 (日本時間)

13×10181-73

c151

name 名前Ben Meekins
date 日付March 19, 2014 13:04:01 UTC 2014 年 3 月 19 日 (水) 22 時 4 分 1 秒 (日本時間)
composite number 合成数
1856292813575847353611687746513911283262515604408046641657444969045883866083282732898803072873529333134564560208350368723951140082016016089687428103689<151>
prime factors 素因数
15883357059078310462328174270847695750679926928763387463<56>
116870306867203644713360430708707721736047870828220455049898300578179180407110526231306530765103<96>
factorization results 素因数分解の結果
Number: 43331_181
N = 1856292813575847353611687746513911283262515604408046641657444969045883866083282732898803072873529333134564560208350368723951140082016016089687428103689 (151 digits)
SNFS difficulty: 183 digits.
Divisors found:
r1=15883357059078310462328174270847695750679926928763387463 (pp56)
r2=116870306867203644713360430708707721736047870828220455049898300578179180407110526231306530765103 (pp96)
Version: Msieve v. 1.52 (SVN 959M)
Total time: 9.54 hours.
Factorization parameters were as follows:
n: 1856292813575847353611687746513911283262515604408046641657444969045883866083282732898803072873529333134564560208350368723951140082016016089687428103689
m: 1000000000000000000000000000000000000
deg: 5
c5: 130
c0: -7
skew: 0.56
# Murphy_E = 8.583e-11
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19031226
Relations: 2595470 relations
Pruned matrix : 1544263 x 1544490
Polynomial selection time: 0.00 hours.
Total sieving time: 8.63 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.77 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: snfs,183,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,200000
total time: 9.54 hours.
Intel64 Family 6 Model 62 Stepping 4, GenuineIntel
Windows-7-6.1.7600
processors: 12, speed: 3.40GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 23, 2010 13:14:41 UTC 2010 年 10 月 23 日 (土) 22 時 14 分 41 秒 (日本時間)
403e61110110Ignacio SantosOctober 23, 2010 13:14:41 UTC 2010 年 10 月 23 日 (土) 22 時 14 分 41 秒 (日本時間)
1000Dmitry DomanovApril 7, 2012 20:13:27 UTC 2012 年 4 月 8 日 (日) 5 時 13 分 27 秒 (日本時間)
4511e61182 / 386932Ignacio SantosOctober 23, 2010 13:14:41 UTC 2010 年 10 月 23 日 (土) 22 時 14 分 41 秒 (日本時間)
300Rich DickersonJune 13, 2013 19:58:32 UTC 2013 年 6 月 14 日 (金) 4 時 58 分 32 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:05:54 UTC 2013 年 11 月 9 日 (土) 2 時 5 分 54 秒 (日本時間)
5043e6100 / 7244Rich DickersonJune 13, 2013 21:22:32 UTC 2013 年 6 月 14 日 (金) 6 時 22 分 32 秒 (日本時間)

13×10183-73

c177

name 名前Sinkiti Sibata
date 日付February 10, 2010 13:08:48 UTC 2010 年 2 月 10 日 (水) 22 時 8 分 48 秒 (日本時間)
composite number 合成数
766266316093932697414811963256233384914845119010295141618098644527936036331868998403277827948573627671550671334761064310904659317701146823640447567903131677384669404123609130853<177>
prime factors 素因数
168356121978366564871890965200092881943684966894508763406073777<63>
4551460957222550141485244311077309443238546974501377560988326692093491951648165360307008861662052391359092433331189<115>
factorization results 素因数分解の結果
Number: 43331_183
N=766266316093932697414811963256233384914845119010295141618098644527936036331868998403277827948573627671550671334761064310904659317701146823640447567903131677384669404123609130853
  ( 177 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=168356121978366564871890965200092881943684966894508763406073777 (pp63)
 r2=4551460957222550141485244311077309443238546974501377560988326692093491951648165360307008861662052391359092433331189 (pp115)
Version: Msieve-1.40
Total time: 196.16 hours.
Scaled time: 491.18 units (timescale=2.504).
Factorization parameters were as follows:
name: 43331_183
n: 766266316093932697414811963256233384914845119010295141618098644527936036331868998403277827948573627671550671334761064310904659317701146823640447567903131677384669404123609130853
m: 1000000000000000000000000000000000000
deg: 5
c5: 13000
c0: -7
skew: 0.22
type: snfs
lss: 1
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4100000, 6700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1466249 x 1466496
Total sieving time: 190.43 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 5.18 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8200000,8200000,28,28,54,54,2.5,2.5,100000
total time: 196.16 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
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)
351e6825JPascoaDecember 7, 2009 22:56:13 UTC 2009 年 12 月 8 日 (火) 7 時 56 分 13 秒 (日本時間)
403e60 / 731--
4511e6400 / 4441Dmitry DomanovDecember 11, 2009 08:53:46 UTC 2009 年 12 月 11 日 (金) 17 時 53 分 46 秒 (日本時間)

13×10184-73

c178

name 名前Wataru Sakai
date 日付March 2, 2010 14:34:08 UTC 2010 年 3 月 2 日 (火) 23 時 34 分 8 秒 (日本時間)
composite number 合成数
9560663254098233461541827570790644052609241057635870078823255916230351090353195169982341454969680562796532244476749680434830731766546547964413446322722541536117648521042615332671<178>
prime factors 素因数
603995007815542828752105464593207806625236494552824032932441813404220106488478023460433<87>
15829043502654270363773103664766968709057579912089413381395155750336651130609747673854675087<92>
factorization results 素因数分解の結果
Number: 43331_184
N=9560663254098233461541827570790644052609241057635870078823255916230351090353195169982341454969680562796532244476749680434830731766546547964413446322722541536117648521042615332671
  ( 178 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=603995007815542828752105464593207806625236494552824032932441813404220106488478023460433
 r2=15829043502654270363773103664766968709057579912089413381395155750336651130609747673854675087
Version: 
Total time: 382.28 hours.
Scaled time: 769.91 units (timescale=2.014).
Factorization parameters were as follows:
n: 9560663254098233461541827570790644052609241057635870078823255916230351090353195169982341454969680562796532244476749680434830731766546547964413446322722541536117648521042615332671
m: 1000000000000000000000000000000000000
deg: 5
c5: 130000
c0: -7
skew: 0.14
type: snfs
lss: 1
rlim: 8500000
alim: 8500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4250000, 8550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1685873 x 1686121
Total sieving time: 382.28 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,185,5,0,0,0,0,0,0,0,0,8500000,8500000,28,28,54,54,2.5,2.5,100000
total time: 382.28 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
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)
351e60--
403e60 / 628--
4511e6495 / 4479Dmitry DomanovDecember 12, 2009 05:18:54 UTC 2009 年 12 月 12 日 (土) 14 時 18 分 54 秒 (日本時間)

13×10186-73

c165

name 名前Serge Batalov
date 日付December 23, 2008 13:25:05 UTC 2008 年 12 月 23 日 (火) 22 時 25 分 5 秒 (日本時間)
composite number 合成数
733948552460448618528202390598108090954358465018111274773973881250020452538764819159568981388737918302296070074371581862744691102528174701205969173398225204897618501<165>
prime factors 素因数
2267180036234447141280701752917889<34>
composite cofactor 合成数の残り
323727512032728409566065549304498685213258027853771402670265835962965506247762803100126933161757433369766377101984695411470824717509<132>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=980914334
Step 1 took 13664ms
Step 2 took 13602ms
********** Factor found in step 2: 2267180036234447141280701752917889
Found probable prime factor of 34 digits: 2267180036234447141280701752917889
Composite cofactor has 132 digits
software ソフトウェア
GMP-ECM 6.2.1

c132

name 名前Warut Roonguthai
date 日付April 13, 2012 04:20:19 UTC 2012 年 4 月 13 日 (金) 13 時 20 分 19 秒 (日本時間)
composite number 合成数
323727512032728409566065549304498685213258027853771402670265835962965506247762803100126933161757433369766377101984695411470824717509<132>
prime factors 素因数
20879604069514860542822899392523262480285591<44>
15504485188269676183285648697795463323805118721867292083102354493092725013534549954884099<89>
factorization results 素因数分解の結果
N = 323727512032728409566065549304498685213258027853771402670265835962965506247762803100126933161757433369766377101984695411470824717509 (132 digits)
Divisors found:
r1=20879604069514860542822899392523262480285591 (pp44)
r2=15504485188269676183285648697795463323805118721867292083102354493092725013534549954884099 (pp89)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 34.91 hours.
Factorization parameters were as follows:
n: 323727512032728409566065549304498685213258027853771402670265835962965506247762803100126933161757433369766377101984695411470824717509
Y0: -22575957782022702835479511
Y1: 378526153680287
c0: 1732761037465815186048895108226640
c1: -14734437628313806538044123782
c2: -29254563765063109376435
c3: 96468658336183976
c4: 72852898076
c5: 55200
skew: 571494.87
type: gnfs
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20629141
Relations: 2849456 relations
Pruned matrix : 1627250 x 1627477
Polynomial selection time: 0.00 hours.
Total sieving time: 31.86 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.61 hours.
time per square root: 0.32 hours.
Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,8000000,8000000,28,28,55,55,2.5,2.5,100000
total time: 34.91 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
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)
351e60--
403e62336500Erik BrangerMay 13, 2009 05:32:23 UTC 2009 年 5 月 13 日 (水) 14 時 32 分 23 秒 (日本時間)
1836Wataru SakaiAugust 27, 2009 13:26:09 UTC 2009 年 8 月 27 日 (木) 22 時 26 分 9 秒 (日本時間)

13×10187-73

c182

name 名前Ignacio Santos
date 日付October 6, 2009 06:07:44 UTC 2009 年 10 月 6 日 (火) 15 時 7 分 44 秒 (日本時間)
composite number 合成数
57282323864565198520706017860628580971428898756136368943991546891530632163319836736564320779251108523125094460755218970495637510404452863477275000539775744108402832214345168302077013<182>
prime factors 素因数
4621636202770150308574184509740627534498826420127262707612729<61>
12394381849058326533133616843178663059816232578757698684763135584464171107781199862640891030032321710302395320971040108797<122>
factorization results 素因数分解の結果
Number: 43331_187
N=57282323864565198520706017860628580971428898756136368943991546891530632163319836736564320779251108523125094460755218970495637510404452863477275000539775744108402832214345168302077013
  ( 182 digits)
SNFS difficulty: 189 digits.
Divisors found:
 r1=4621636202770150308574184509740627534498826420127262707612729 (pp61)
 r2=12394381849058326533133616843178663059816232578757698684763135584464171107781199862640891030032321710302395320971040108797 (pp122)
Version: Msieve-1.40
Total time: 314.92 hours.
Scaled time: 547.65 units (timescale=1.739).
Factorization parameters were as follows:
n: 57282323864565198520706017860628580971428898756136368943991546891530632163319836736564320779251108523125094460755218970495637510404452863477275000539775744108402832214345168302077013
m: 20000000000000000000000000000000000000
deg: 5
c5: 325
c0: -56
skew: 0.70
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4950000, 10050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2086172 x 2086398
Total sieving time: 307.66 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 6.69 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
snfs,189.000,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,100000
total time: 314.92 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)
351e6825Wataru SakaiAugust 26, 2009 04:31:42 UTC 2009 年 8 月 26 日 (水) 13 時 31 分 42 秒 (日本時間)

13×10192-73

c178

composite cofactor 合成数の残り
1254574698482005303955936907631859560689545972036650708598387776432085788858723597951845772059029293491323061462707492967036992114685358747086499453972910321881978536268469662751<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 24, 2010 08:58:01 UTC 2010 年 10 月 24 日 (日) 17 時 58 分 1 秒 (日本時間)
403e62710110Ignacio SantosOctober 24, 2010 08:58:01 UTC 2010 年 10 月 24 日 (日) 17 時 58 分 1 秒 (日本時間)
1000Dmitry DomanovApril 7, 2012 20:14:01 UTC 2012 年 4 月 8 日 (日) 5 時 14 分 1 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:46 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 46 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:06 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 6 秒 (日本時間)
4511e632 / 3866Ignacio SantosOctober 24, 2010 08:58:01 UTC 2010 年 10 月 24 日 (日) 17 時 58 分 1 秒 (日本時間)

13×10193-73

c179

name 名前Serge Batalov
date 日付December 23, 2008 13:40:59 UTC 2008 年 12 月 23 日 (火) 22 時 40 分 59 秒 (日本時間)
composite number 合成数
28109546056644094312376262786707118425362815534785209614614715840678191324651207556692653629381445523468398257738331178374003726318236938099488167159897154156260085468962725406427<179>
prime factors 素因数
7709568588244219307028066227297<31>
composite cofactor 合成数の残り
3646059534317701069724515171275791765391252664992167269599666190068435969269326867841860958544963686066522189227458537555849678015726858695874479291<148>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2528423854
Step 1 took 15951ms
Step 2 took 14697ms
********** Factor found in step 2: 7709568588244219307028066227297
Found probable prime factor of 31 digits: 7709568588244219307028066227297
Composite cofactor has 148 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
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 24, 2010 08:58:30 UTC 2010 年 10 月 24 日 (日) 17 時 58 分 30 秒 (日本時間)
403e62710110Ignacio SantosOctober 24, 2010 08:58:30 UTC 2010 年 10 月 24 日 (日) 17 時 58 分 30 秒 (日本時間)
1000Dmitry DomanovApril 7, 2012 20:14:10 UTC 2012 年 4 月 8 日 (日) 5 時 14 分 10 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:46 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 46 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:07 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 7 秒 (日本時間)
4511e632 / 3866Ignacio SantosOctober 24, 2010 08:58:30 UTC 2010 年 10 月 24 日 (日) 17 時 58 分 30 秒 (日本時間)

13×10194-73

c165

name 名前Serge Batalov
date 日付December 23, 2008 13:26:20 UTC 2008 年 12 月 23 日 (火) 22 時 26 分 20 秒 (日本時間)
composite number 合成数
555069224755299876870947847381423927057507665100595494140841961861534249062252412765634522830092348910087092058098648225242950027149617714787352431853508571054366559<165>
prime factors 素因数
66007507859850270736596089399561<32>
composite cofactor 合成数の残り
8409183178583936583030174346844415915814492342050749419119294169308338808320971385476178209350780286513505479940764510332776202970919<133>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=230614363
Step 1 took 13630ms
Step 2 took 13457ms
********** Factor found in step 2: 66007507859850270736596089399561
Found probable prime factor of 32 digits: 66007507859850270736596089399561
Composite cofactor 8409183178583936583030174346844415915814492342050749419119294169308338808320971385476178209350780286513505479940764510332776202970919 has 133 digits
software ソフトウェア
GMP-ECM 6.2.1

c133

name 名前Serge Batalov
date 日付December 23, 2008 19:09:01 UTC 2008 年 12 月 24 日 (水) 4 時 9 分 1 秒 (日本時間)
composite number 合成数
8409183178583936583030174346844415915814492342050749419119294169308338808320971385476178209350780286513505479940764510332776202970919<133>
prime factors 素因数
4448855391179499901841920088701<31>
1890190271245129714956635517993862966113876278013600663354393732491301918077570212567736137795152565619<103>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1699384495
Step 1 took 9871ms
Step 2 took 10861ms
********** Factor found in step 2: 4448855391179499901841920088701
Found probable prime factor of 31 digits: 4448855391179499901841920088701
Probable prime cofactor has 103 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
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

13×10195-73

c173

name 名前Ignacio Santos
date 日付October 24, 2010 08:57:21 UTC 2010 年 10 月 24 日 (日) 17 時 57 分 21 秒 (日本時間)
composite number 合成数
13490573440956107742608705214624686655243987364704838828495531265158058257915636258293232491770403053642803659468381031826497136798727869667485257021018883187965109658506337<173>
prime factors 素因数
24395397638164241653845970398130904163007709<44>
composite cofactor 合成数の残り
552996661134615388818146237016907169289621739079804684149032267799092441330644303087373454710100515287577882374055274976024996693<129>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=451112346
Step 1 took 25226ms
Step 2 took 13806ms
********** Factor found in step 2: 24395397638164241653845970398130904163007709
Found probable prime factor of 44 digits: 24395397638164241653845970398130904163007709
Composite cofactor 552996661134615388818146237016907169289621739079804684149032267799092441330644303087373454710100515287577882374055274976024996693 has 129 digits
software ソフトウェア
GMP-ECM 6.3

c129

name 名前Markus Tervooren
date 日付October 29, 2010 09:43:52 UTC 2010 年 10 月 29 日 (金) 18 時 43 分 52 秒 (日本時間)
composite number 合成数
552996661134615388818146237016907169289621739079804684149032267799092441330644303087373454710100515287577882374055274976024996693<129>
prime factors 素因数
5337839239519519026409953856428164208281095049<46>
103599347286523545446016162761617991851194894611854795291055034869817357160988226157<84>
factorization results 素因数分解の結果
GMP-ECM 6.2 [powered by GMP 4.3.2] [ECM]
Input number is 552996661134615388818146237016907169289621739079804684149032267799092441330644303087373454710100515287577882374055274976024996693 (129 digits)
Using B1=8000000, B2=23420528050, polynomial Dickson(12), sigma=174395323
Step 1 took 33160ms
Step 2 took 14450ms
********** Factor found in step 2: 5337839239519519026409953856428164208281095049
Found probable prime factor of 46 digits: 5337839239519519026409953856428164208281095049
Probable prime cofactor 103599347286523545446016162761617991851194894611854795291055034869817357160988226157 has 84 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 26, 2010 04:53:33 UTC 2010 年 10 月 26 日 (火) 13 時 53 分 33 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 26, 2010 04:53:33 UTC 2010 年 10 月 26 日 (火) 13 時 53 分 33 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 26, 2010 04:53:33 UTC 2010 年 10 月 26 日 (火) 13 時 53 分 33 秒 (日本時間)

13×10200-73

c185

name 名前matsui
date 日付December 18, 2010 08:23:50 UTC 2010 年 12 月 18 日 (土) 17 時 23 分 50 秒 (日本時間)
composite number 合成数
61624091464853519099391480991392103655273229354570400731880121733654818930135836088976923252178333729254518827579008894890890139106634780595771645691729280073528977442124350864995345517<185>
prime factors 素因数
3343469198488755050477873237898455400783028393637352737262141416081848308493849<79>
18431182644873041087136600150725630553072839962113050549796161611819654292988261839587342173701666904476533<107>
factorization results 素因数分解の結果
N=61624091464853519099391480991392103655273229354570400731880121733654818930135836088976923252178333729254518827579008894890890139106634780595771645691729280073528977442124350864995345517
  ( 185 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=3343469198488755050477873237898455400783028393637352737262141416081848308493849 (pp79)
 r2=18431182644873041087136600150725630553072839962113050549796161611819654292988261839587342173701666904476533 (pp107)
Version: Msieve v. 1.48
Total time:
Scaled time: 212.63 units (timescale=2.035).
Factorization parameters were as follows:
n: 61624091464853519099391480991392103655273229354570400731880121733654818930135836088976923252178333729254518827579008894890890139106634780595771645691729280073528977442124350864995345517
m: 10000000000000000000000000000000000000000
deg: 5
c5: 13
c0: -7
skew: 0.88
type: snfs
lss: 1
rlim: 15700000
alim: 15700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 15700000/15700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7850000, 17130001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3276524 x 3276754
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,201.000,5,0,0,0,0,0,0,0,0,15700000,15700000,29,29,56,56,2.6,2.6,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 24, 2010 08:59:10 UTC 2010 年 10 月 24 日 (日) 17 時 59 分 10 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 24, 2010 08:59:10 UTC 2010 年 10 月 24 日 (日) 17 時 59 分 10 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 24, 2010 08:59:10 UTC 2010 年 10 月 24 日 (日) 17 時 59 分 10 秒 (日本時間)

13×10201-73

c168

composite cofactor 合成数の残り
415499847586657923525701152752258117085927890274878171782781364057316769704715904469055372687224139151896069938912519260009338352611198153583825201200790750079817564061<168>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 24, 2010 09:00:01 UTC 2010 年 10 月 24 日 (日) 18 時 0 分 1 秒 (日本時間)
403e62710110Ignacio SantosOctober 24, 2010 09:00:01 UTC 2010 年 10 月 24 日 (日) 18 時 0 分 1 秒 (日本時間)
1000Dmitry DomanovApril 7, 2012 20:14:23 UTC 2012 年 4 月 8 日 (日) 5 時 14 分 23 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:47 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 47 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:07 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 7 秒 (日本時間)
4511e632 / 3866Ignacio SantosOctober 24, 2010 09:00:01 UTC 2010 年 10 月 24 日 (日) 18 時 0 分 1 秒 (日本時間)

13×10203-73

c188

name 名前Serge Batalov
date 日付December 24, 2008 01:45:57 UTC 2008 年 12 月 24 日 (水) 10 時 45 分 57 秒 (日本時間)
composite number 合成数
13171862666647980902036082150753552747334353800922646212480880011302377738198212493884746922383586482043579029971774297320993899925517765277589314273779790018888889316556666116906730929153<188>
prime factors 素因数
63444856538474819856481993655770160539<38>
207611197901601014143416821146774403219826219131558291970037945989725439970919940184172631734257013957795695677276118342125803124864277075013790561427<150>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3263277877
Step 1 took 12681ms
Step 2 took 11857ms
********** Factor found in step 2: 63444856538474819856481993655770160539
Found probable prime factor of 38 digits: 63444856538474819856481993655770160539
Probable prime cofactor has 150 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

13×10204-73

c177

name 名前Serge Batalov
date 日付December 23, 2008 13:38:50 UTC 2008 年 12 月 23 日 (火) 22 時 38 分 50 秒 (日本時間)
composite number 合成数
521524461079867470597760546097997222773718583408783655292310411281392895965268821394722927319243036136502623595489420167956297176985764757007486129650974687732545831001993934433<177>
prime factors 素因数
26308325916731982485427287860457<32>
19823551780928035006602671905281634246612561791914656475871110593336489297213306083897826212562111916418038463405766923512493202714696938292099769<146>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1594125605
Step 1 took 16110ms
Step 2 took 14725ms
********** Factor found in step 2: 26308325916731982485427287860457
Found probable prime factor of 32 digits: 26308325916731982485427287860457
Probable prime cofactor has 146 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
3025e4430Makoto KamadaDecember 23, 2008 01:00:00 UTC 2008 年 12 月 23 日 (火) 10 時 0 分 0 秒 (日本時間)

13×10206-73

c157

composite cofactor 合成数の残り
4437838099034071599746408860034204876464931693103408908895765821959510067843080808952940081884538821999789618983690667604152678498398287765691047722477290857<157>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 2, 2012 07:00:00 UTC 2012 年 4 月 2 日 (月) 16 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 7, 2012 20:14:35 UTC 2012 年 4 月 8 日 (日) 5 時 14 分 35 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:49 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 49 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:08 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 8 秒 (日本時間)

13×10208-73

c198

name 名前Dmitry Domanov
date 日付April 2, 2012 11:13:42 UTC 2012 年 4 月 2 日 (月) 20 時 13 分 42 秒 (日本時間)
composite number 合成数
819253384878710445141278968092523968759544855520679499295285633664619084064143933884265163433634433172557290993829321134703167199524536325881361684920655738868741333115566103838732299328291098964379<198>
prime factors 素因数
12393792499341726360811346573<29>
66101912301841715641886172689845138084026577347939483054736357261315176691157157226048814925021380700956591779759619108042202694011626597733570529970858242108104138868423<170>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=60045145
Step 1 took 34971ms
Step 2 took 12236ms
********** Factor found in step 2: 12393792499341726360811346573
Found probable prime factor of 29 digits: 12393792499341726360811346573

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 2, 2012 07:00:00 UTC 2012 年 4 月 2 日 (月) 16 時 0 分 0 秒 (日本時間)

13×10210-73

c180

composite cofactor 合成数の残り
633474163249942848434232775914473105011891822439037072223356060912237204929349835590563051577855814918170308827443805530725354451279895396058045134962178130415990681800149018600691<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 2, 2012 07:00:00 UTC 2012 年 4 月 2 日 (月) 16 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 7, 2012 20:14:45 UTC 2012 年 4 月 8 日 (日) 5 時 14 分 45 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:49 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 49 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:08 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 8 秒 (日本時間)

13×10214-73

c182

name 名前Dmitry Domanov
date 日付April 2, 2012 14:12:24 UTC 2012 年 4 月 2 日 (月) 23 時 12 分 24 秒 (日本時間)
composite number 合成数
18745786710179382371244560423498367076944692085850910713395379061224470350499716000777029539994413118116964067602774827695913619042294538504250108616858349204899335767054729890672879<182>
prime factors 素因数
6860900085583301087440078848541<31>
composite cofactor 合成数の残り
2732263475104323737581932675081709921989508537674674852113874343714848541108668535247381669433916705097590847831485843042050930643152575124499742986619<151>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2860551934
Step 1 took 28492ms
Step 2 took 10796ms
********** Factor found in step 2: 6860900085583301087440078848541
Found probable prime factor of 31 digits: 6860900085583301087440078848541

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 2, 2012 07:00:00 UTC 2012 年 4 月 2 日 (月) 16 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovApril 7, 2012 20:15:00 UTC 2012 年 4 月 8 日 (日) 5 時 15 分 0 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:50 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 50 秒 (日本時間)
4511e6300 / 3682Serge BatalovMay 27, 2014 00:32:17 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 17 秒 (日本時間)
5043e6144 / 7436CypFebruary 9, 2014 02:21:56 UTC 2014 年 2 月 9 日 (日) 11 時 21 分 56 秒 (日本時間)

13×10216-73

c209

name 名前Wataru Sakai
date 日付April 3, 2012 10:06:39 UTC 2012 年 4 月 3 日 (火) 19 時 6 分 39 秒 (日本時間)
composite number 合成数
15734553473881796512686280879307801359972072765246212543803166216507748705378187660313691828504023058441037652988591493765074859625421791787454630640537707401703282116381392131636126449083233685498420539499761<209>
prime factors 素因数
1824778512306633006039646712039034210839<40>
8622719616526143133602309676384068491570317022156595577319803696012154302564840482246162983855222799914858652320974947388116377230025979820223615150319314966625285625399<169>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2853018485
Step 1 took 15658ms
Step 2 took 6184ms
********** Factor found in step 2: 1824778512306633006039646712039034210839
Found probable prime factor of 40 digits: 1824778512306633006039646712039034210839
Probable prime cofactor 8622719616526143133602309676384068491570317022156595577319803696012154302564840482246162983855222799914858652320974947388116377230025979820223615150319314966625285625399 has 169 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 2, 2012 07:00:00 UTC 2012 年 4 月 2 日 (月) 16 時 0 分 0 秒 (日本時間)

13×10217-73

c200

composite cofactor 合成数の残り
72772749451676497458441731311710360287106971683791303127665283860527208587510139048611761450551290993257895061792280672373164214634499485185021739038787821324881759886501641585247124542301562160537071<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 2, 2012 07:00:00 UTC 2012 年 4 月 2 日 (月) 16 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 7, 2012 20:15:15 UTC 2012 年 4 月 8 日 (日) 5 時 15 分 15 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:51 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 51 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:08 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 8 秒 (日本時間)

13×10219-73

c216

name 名前Bob Backstrom
date 日付April 12, 2018 18:26:06 UTC 2018 年 4 月 13 日 (金) 3 時 26 分 6 秒 (日本時間)
composite number 合成数
552087314732237652354864738607890601775173058139041066802565082600755934938633371554762814795940034823969083110374994691468127574637958126300590308744213700259056355374357667643436531192933282371427358049857731345819<216>
prime factors 素因数
8419131637424957071478537566854676904897614615433940520849095110433037<70>
65575327540679353936787928776475276581387815270767224994519373173646861257062309451876547437826992150628242812652057662181192907025746421486466887<146>
factorization results 素因数分解の結果
Number: n
N=552087314732237652354864738607890601775173058139041066802565082600755934938633371554762814795940034823969083110374994691468127574637958126300590308744213700259056355374357667643436531192933282371427358049857731345819
  ( 216 digits)
SNFS difficulty: 220 digits.
Divisors found:

Fri Apr 13 04:14:15 2018  p70 factor: 8419131637424957071478537566854676904897614615433940520849095110433037
Fri Apr 13 04:14:15 2018  p146 factor: 65575327540679353936787928776475276581387815270767224994519373173646861257062309451876547437826992150628242812652057662181192907025746421486466887
Fri Apr 13 04:14:15 2018  elapsed time 09:58:34 (Msieve 1.53 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.108).
Factorization parameters were as follows:
#
# 13x10^219-7 43(218)1
#
n: 552087314732237652354864738607890601775173058139041066802565082600755934938633371554762814795940034823969083110374994691468127574637958126300590308744213700259056355374357667643436531192933282371427358049857731345819
m: 1000000000000000000000000000000000000
deg: 6
c6: 13000
c0: -7
skew: 0.29
# Murphy_E = 2.033e-12
type: snfs
lss: 1
rlim: 33000000
alim: 33000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 33000000/33000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 75700000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 12508400 hash collisions in 66142517 relations (54474542 unique)
Msieve: matrix is 4766400 x 4766625 (1356.8 MB)

Sieving start time: 2018/04/10 19:04:34
Sieving end time  : 2018/04/12 18:13:42

Total sieving time: 47hrs 9min 8secs.

Total relation processing time: 9hrs 16min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 21min 33sec.

Prototype def-par.txt line would be:
snfs,220,6,0,0,0,0,0,0,0,0,33000000,33000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.064000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16292592K/16703460K available (12300K kernel code, 2482K rwdata, 4000K rodata, 2372K init, 2368K bss, 410868K reserved, 0K cma-reserved)
[    0.096647] x86/mm: Memory block size: 128MB
[    0.004000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.84 BogoMIPS (lpj=11977684)
[    0.094230] smpboot: Total of 16 processors activated (95821.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 2, 2012 07:00:00 UTC 2012 年 4 月 2 日 (月) 16 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiApril 4, 2012 05:37:48 UTC 2012 年 4 月 4 日 (水) 14 時 37 分 48 秒 (日本時間)
4511e63950850Serge BatalovNovember 8, 2013 17:15:02 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 2 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:09 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 9 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:30 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 30 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:37 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 37 秒 (日本時間)
5043e64 / 6579KTakahashiMay 25, 2014 07:09:58 UTC 2014 年 5 月 25 日 (日) 16 時 9 分 58 秒 (日本時間)

13×10220-73

c214

name 名前Serge Batalov
date 日付April 2, 2012 18:40:28 UTC 2012 年 4 月 3 日 (火) 3 時 40 分 28 秒 (日本時間)
composite number 合成数
3125994081146622323719242352333630326817150578966566074581746200011537322770262687622465326774228275621591298829139680019879398667427196980501323365548145106048267128024919270601701680565677965235627454701881038083<214>
prime factors 素因数
2762534966730769363905815221391722441<37>
composite cofactor 合成数の残り
1131567244864949755706595159129634816013291819153621944894624164017415396398456795642711701914228584511188320487879987480776115448309276153121018750135148949713631877914156512363<178>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3887714273
Step 1 took 14037ms
Step 2 took 5396ms
********** Factor found in step 2: 2762534966730769363905815221391722441
Found probable prime factor of 37 digits: 2762534966730769363905815221391722441
Composite cofactor 113156724486... has 178 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 2, 2012 07:00:00 UTC 2012 年 4 月 2 日 (月) 16 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 7, 2012 20:15:30 UTC 2012 年 4 月 8 日 (日) 5 時 15 分 30 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:52 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 52 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:09 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 9 秒 (日本時間)

13×10221-73

c184

name 名前Serge Batalov
date 日付May 19, 2014 00:33:00 UTC 2014 年 5 月 19 日 (月) 9 時 33 分 0 秒 (日本時間)
composite number 合成数
1031516520224638356841404662917098269780033996050517801096313163017373192586161135463039583317182636855477890425855082231438266658205600295311544396658271634394922427284037045030956123<184>
prime factors 素因数
160179154839706491632732970401875999666783<42>
composite cofactor 合成数の残り
6439767529407252068471085076210046228291645640284170488416452524012159850560457634526795318280971065705261341579186641495831146544485507374981<142>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1400133504
Step 1 took 15745ms
Step 2 took 12166ms
********** Factor found in step 2: 160179154839706491632732970401875999666783
Found probable prime factor of 42 digits: 160179154839706491632732970401875999666783
Composite cofactor 

c142

name 名前Erik Branger
date 日付June 6, 2017 21:01:17 UTC 2017 年 6 月 7 日 (水) 6 時 1 分 17 秒 (日本時間)
composite number 合成数
6439767529407252068471085076210046228291645640284170488416452524012159850560457634526795318280971065705261341579186641495831146544485507374981<142>
prime factors 素因数
648932392047224530174361993266816353431010665768493407659<57>
9923633969158705698659631872513651924136629091307264826764542000909771185503248770959<85>
factorization results 素因数分解の結果
Number: 43331_221
N = 6439767529407252068471085076210046228291645640284170488416452524012159850560457634526795318280971065705261341579186641495831146544485507374981 (142 digits)
Divisors found:
r1=648932392047224530174361993266816353431010665768493407659 (pp57)
r2=9923633969158705698659631872513651924136629091307264826764542000909771185503248770959 (pp85)
Version: Msieve v. 1.51 (SVN 845)
Total time: 449.57 hours.
Factorization parameters were as follows:
# Murphy_E = 1.68781017e-11, selected by Maksym Voznyy
# selected by CADO-NFS
n: 6439767529407252068471085076210046228291645640284170488416452524012159850560457634526795318280971065705261341579186641495831146544485507374981
Y0: -1797615271843851206573530936
Y1: 139708208307698875703
c0: -16178952365380247148437196760050
c1: 60724764796182665108793855
c2: 10855479634644564114028
c3: 1404275455452705
c4: -355483987938
c5: 713760
skew: 171789.9503
type: gnfs
# selected mechanically
rlim: 20000000
alim: 20000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23243886
Relations: 4144010 relations
Pruned matrix : 2563118 x 2563343
Polynomial selection time: 0.00 hours.
Total sieving time: 442.29 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 6.64 hours.
time per square root: 0.43 hours.
Prototype def-par.txt line would be: gnfs,141,5,65,2000,1e-05,0.28,250,20,50000,3600,20000000,20000000,28,28,56,56,2.6,2.6,100000
total time: 449.57 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
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 2, 2012 07:00:00 UTC 2012 年 4 月 2 日 (月) 16 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovApril 7, 2012 20:15:39 UTC 2012 年 4 月 8 日 (日) 5 時 15 分 39 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:52 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 52 秒 (日本時間)
4511e641881800Serge BatalovMay 24, 2014 17:35:40 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 40 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:18 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 18 秒 (日本時間)
2088Ignacio SantosJanuary 31, 2016 10:16:55 UTC 2016 年 1 月 31 日 (日) 19 時 16 分 55 秒 (日本時間)

13×10223-73

c163

composite cofactor 合成数の残り
7281252852553374160882017496908005257111435716258744377493461902922509597280931878149999936524469657662844297770424774931618000575387258459215280317273311944956599<163>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 2, 2012 07:00:00 UTC 2012 年 4 月 2 日 (月) 16 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 7, 2012 20:15:49 UTC 2012 年 4 月 8 日 (日) 5 時 15 分 49 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:53 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 53 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:09 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 9 秒 (日本時間)

13×10225-73

c208

composite cofactor 合成数の残り
6521320708677584562714492757787301809892538776495187475131707020939233835755917472346007647432867681382867881236945304421431260400342506428197742858088159314828647283455827237583154434078633315426857012518517<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 2, 2012 07:00:00 UTC 2012 年 4 月 2 日 (月) 16 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 7, 2012 20:16:03 UTC 2012 年 4 月 8 日 (日) 5 時 16 分 3 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:54 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 54 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:09 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 9 秒 (日本時間)

13×10226-73

c163

composite cofactor 合成数の残り
6665500433064976277483966880811353193947599743097937434798525985302014699136919880946437296597851931815907406323625609370154006019697794444367856724617173159274391<163>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 2, 2012 07:00:00 UTC 2012 年 4 月 2 日 (月) 16 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 7, 2012 20:16:12 UTC 2012 年 4 月 8 日 (日) 5 時 16 分 12 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:55 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 55 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:10 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 10 秒 (日本時間)

13×10227-73

c212

composite cofactor 合成数の残り
88653520220228299296296646741467764395583376661526779406056835218798941878987331652924417194231699726018735270781626955287517867111561290815598604262746788651194169240332440176363326397309925713250216276273795113<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 2, 2012 07:00:00 UTC 2012 年 4 月 2 日 (月) 16 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 7, 2012 20:16:25 UTC 2012 年 4 月 8 日 (日) 5 時 16 分 25 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:56 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 56 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:10 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 10 秒 (日本時間)

13×10228-73

c171

composite cofactor 合成数の残り
770013870970268004651547946877118096562198198260733334726173423385629002051973076834294468854545387555695570889068237605969540923903320881543932582521739915074966105176327<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 2, 2012 07:00:00 UTC 2012 年 4 月 2 日 (月) 16 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 7, 2012 20:16:35 UTC 2012 年 4 月 8 日 (日) 5 時 16 分 35 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:56 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 56 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:11 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 11 秒 (日本時間)

13×10229-73

c195

composite cofactor 合成数の残り
291418853675045361809747627221320833569702815878174229573715377049890698023240621976727453831641377409009036193530639155520031994549440450057980256446828070601589102268958430389479389420052046247<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 2, 2012 07:00:00 UTC 2012 年 4 月 2 日 (月) 16 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 7, 2012 20:16:45 UTC 2012 年 4 月 8 日 (日) 5 時 16 分 45 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:57 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 57 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:11 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 11 秒 (日本時間)

13×10230-73

c199

composite cofactor 合成数の残り
2358730295708139533993291253960699506296954494790458104936166796291475015120764945962804367748991175702811600655038680501134257302438047618879865899111959062994884550356363397589751709808668217346247<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 2, 2012 07:00:00 UTC 2012 年 4 月 2 日 (月) 16 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 7, 2012 20:16:58 UTC 2012 年 4 月 8 日 (日) 5 時 16 分 58 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:58 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 58 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:11 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 11 秒 (日本時間)

13×10231-73

c186

name 名前Serge Batalov
date 日付May 26, 2014 20:27:47 UTC 2014 年 5 月 27 日 (火) 5 時 27 分 47 秒 (日本時間)
composite number 合成数
788318188053794014890428111035420420814282675895201937999884150976546264581039578283652391690223208310232676162067316974978923584715831396194643718495216614960113982951308409325022615139<186>
prime factors 素因数
18236034945024516877237444324586715053715557<44>
43228596042413110472799063680048715213201744457926381034799102680192177048013816983442308070670707368889266694758619750914755660597355412204327<143>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3584035923
Step 1 took 15031ms
Step 2 took 6363ms
********** Factor found in step 2: 18236034945024516877237444324586715053715557
Found probable prime factor of 44 digits: 18236034945024516877237444324586715053715557
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 2, 2012 07:00:00 UTC 2012 年 4 月 2 日 (月) 16 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 7, 2012 20:17:08 UTC 2012 年 4 月 8 日 (日) 5 時 17 分 8 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:58 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 58 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:12 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 12 秒 (日本時間)

13×10233-73

c176

name 名前Dmitry Domanov
date 日付April 2, 2012 19:10:13 UTC 2012 年 4 月 3 日 (火) 4 時 10 分 13 秒 (日本時間)
composite number 合成数
95456676773373197431968244100608303919201201582454006090743884395993046456752752649609601723721229843438177373305230124363704838099061258006206955586331593238139567606073012779<176>
prime factors 素因数
17915826191319075560885121855190406357<38>
composite cofactor 合成数の残り
5328064458429816784130838372872384514719622349317907565135432057705460997368179882189686994730313932668694445503602618269161358222021602047<139>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1036154946
Step 1 took 31567ms
Step 2 took 11180ms
********** Factor found in step 2: 17915826191319075560885121855190406357
Found probable prime factor of 38 digits: 17915826191319075560885121855190406357

c139

name 名前Dmitry Domanov
date 日付April 4, 2012 09:03:43 UTC 2012 年 4 月 4 日 (水) 18 時 3 分 43 秒 (日本時間)
composite number 合成数
5328064458429816784130838372872384514719622349317907565135432057705460997368179882189686994730313932668694445503602618269161358222021602047<139>
prime factors 素因数
2168320538268766234919333439295272151<37>
2457231006391637128982409472695869212446019472793682708180898456388076939297010761531356822560916393497<103>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3162001409
Step 1 took 21468ms
Step 2 took 8774ms
********** Factor found in step 2: 2168320538268766234919333439295272151
Found probable prime factor of 37 digits: 2168320538268766234919333439295272151

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 2, 2012 07:00:00 UTC 2012 年 4 月 2 日 (月) 16 時 0 分 0 秒 (日本時間)

13×10234-73

c153

name 名前Dmitry Domanov
date 日付April 2, 2012 19:11:07 UTC 2012 年 4 月 3 日 (火) 4 時 11 分 7 秒 (日本時間)
composite number 合成数
327593007958281708782566226987984032180049479480345299889013641926060592385442975891958773130885249306535554296895430802900250911772066068230216663640577<153>
prime factors 素因数
26279967745959861104751234935579501620083493<44>
12465502664425608777466602614732279636581341448446339312678915198401963458200938237869138734443463687646562989<110>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4141113211
Step 1 took 22455ms
Step 2 took 9170ms
********** Factor found in step 2: 26279967745959861104751234935579501620083493
Found probable prime factor of 44 digits: 26279967745959861104751234935579501620083493

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 2, 2012 07:00:00 UTC 2012 年 4 月 2 日 (月) 16 時 0 分 0 秒 (日本時間)

13×10235-73

c168

composite cofactor 合成数の残り
174689247289348678737894370909908652422368010744426770989371939085721756646017847754307344424722570919707609228181470349594659392069326850231023603485725068062132517527<168>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 2, 2012 07:00:00 UTC 2012 年 4 月 2 日 (月) 16 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 7, 2012 20:17:20 UTC 2012 年 4 月 8 日 (日) 5 時 17 分 20 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:43:59 UTC 2014 年 1 月 9 日 (木) 13 時 43 分 59 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:12 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 12 秒 (日本時間)

13×10236-73

c220

composite cofactor 合成数の残り
1045163579292081138719271722648596053448466467793564103279213517092876904002276338986312205965847050564646450193238314845719472620307552863558621082284316919566784076581350424636562520461591790167089923922678440863137257<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 2, 2012 07:00:00 UTC 2012 年 4 月 2 日 (月) 16 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovApril 7, 2012 20:17:29 UTC 2012 年 4 月 8 日 (日) 5 時 17 分 29 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:00 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 0 秒 (日本時間)
4511e6605 / 4188305CypJanuary 10, 2014 05:41:38 UTC 2014 年 1 月 10 日 (金) 14 時 41 分 38 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:18 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 18 秒 (日本時間)

13×10238-73

c211

name 名前Serge Batalov
date 日付January 9, 2014 08:27:04 UTC 2014 年 1 月 9 日 (木) 17 時 27 分 4 秒 (日本時間)
composite number 合成数
5879017378910444040284705073810780312588912206333587794759927479865482950789621754514018599092377485493989237523674251531337757116655270702335529154403876095324654983351452126629870853046173458487685460411283663<211>
prime factors 素因数
1325427443890100814439190894166901459897<40>
4435563339216559061054109094829564562461909808790722638224864606331701043347155525791351115000719644958112717044985100224448787943293889969465268546768256025043407030369479<172>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3984386390
Step 1 took 18949ms
Step 2 took 7351ms
********** Factor found in step 2: 1325427443890100814439190894166901459897
Found probable prime factor of 40 digits: 1325427443890100814439190894166901459897
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 2, 2012 07:00:00 UTC 2012 年 4 月 2 日 (月) 16 時 0 分 0 秒 (日本時間)
403e61300 / 23181000Dmitry DomanovApril 7, 2012 20:17:40 UTC 2012 年 4 月 8 日 (日) 5 時 17 分 40 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:00 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 0 秒 (日本時間)

13×10239-73

c240

name 名前Serge Batalov
date 日付April 2, 2012 18:34:10 UTC 2012 年 4 月 3 日 (火) 3 時 34 分 10 秒 (日本時間)
composite number 合成数
433333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331<240>
prime factors 素因数
1048612311867743390000020735366488697<37>
composite cofactor 合成数の残り
413244559909370640622308497859949754748564839402993472374070969563859650719793930191699547380691930115467796443517388982280523733721902813471319713605220816420071049604922675512132672850417965363314778923<204>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3711734171
Step 1 took 22329ms
Step 2 took 15873ms
********** Factor found in step 2: 1048612311867743390000020735366488697
Found probable prime factor of 37 digits: 1048612311867743390000020735366488697
Composite cofactor 413244559909... has 204 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 2, 2012 07:00:00 UTC 2012 年 4 月 2 日 (月) 16 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 7, 2012 20:17:49 UTC 2012 年 4 月 8 日 (日) 5 時 17 分 49 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:01 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 1 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:12 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 12 秒 (日本時間)

13×10241-73

c194

name 名前Dmitry Domanov
date 日付April 2, 2012 19:10:35 UTC 2012 年 4 月 3 日 (火) 4 時 10 分 35 秒 (日本時間)
composite number 合成数
72484681648617828325653495101552962503106421583466615521950709558117554761059622856577394256563376642435424499025452489297811808696850253624465288279772135138883742488866816520494021434659014569<194>
prime factors 素因数
252431768358013184688627842494626576703425437<45>
composite cofactor 合成数の残り
287145639869764344899827878197313802582540157491470737078847530740785505487546273081930296093437671707653259930649824059621223579629645338834236378237<150>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3118096411
Step 1 took 35018ms
Step 2 took 12335ms
********** Factor found in step 2: 252431768358013184688627842494626576703425437
Found probable prime factor of 45 digits: 252431768358013184688627842494626576703425437

c150

name 名前Dmitry Domanov
date 日付April 4, 2012 09:02:17 UTC 2012 年 4 月 4 日 (水) 18 時 2 分 17 秒 (日本時間)
composite number 合成数
287145639869764344899827878197313802582540157491470737078847530740785505487546273081930296093437671707653259930649824059621223579629645338834236378237<150>
prime factors 素因数
402920000348929551149961862225241213<36>
712661668869988158094014101603198668375504984155672396032526784798255585681050246849987545438430635327659596187649<114>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3480714510
Step 1 took 22459ms
Step 2 took 9170ms
********** Factor found in step 2: 402920000348929551149961862225241213
Found probable prime factor of 36 digits: 402920000348929551149961862225241213

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 2, 2012 07:00:00 UTC 2012 年 4 月 2 日 (月) 16 時 0 分 0 秒 (日本時間)

13×10242-73

c162

name 名前Dmitry Domanov
date 日付April 2, 2012 14:10:14 UTC 2012 年 4 月 2 日 (月) 23 時 10 分 14 秒 (日本時間)
composite number 合成数
189921002741822647611854775926933983729429821042841537115065303936330557788315899798716272861247317712352391213660476723440361734654380989278812806528417444465307<162>
prime factors 素因数
783642649542624938900562221160800831<36>
composite cofactor 合成数の残り
242356644131952915693857958306561997141951434119821355798586963452163321943139645544433100857979163272057802064189622553413797<126>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=125117530
Step 1 took 26889ms
Step 2 took 9997ms
********** Factor found in step 2: 783642649542624938900562221160800831
Found probable prime factor of 36 digits: 783642649542624938900562221160800831

c126

name 名前Warut Roonguthai
date 日付April 4, 2012 19:06:28 UTC 2012 年 4 月 5 日 (木) 4 時 6 分 28 秒 (日本時間)
composite number 合成数
242356644131952915693857958306561997141951434119821355798586963452163321943139645544433100857979163272057802064189622553413797<126>
prime factors 素因数
375626238470604615686008035999062109491462891411234375362249309<63>
645206908651348169160730885127315661547369667782755651982707433<63>
factorization results 素因数分解の結果
N = 242356644131952915693857958306561997141951434119821355798586963452163321943139645544433100857979163272057802064189622553413797 (126 digits)
Divisors found:
r1=375626238470604615686008035999062109491462891411234375362249309 (pp63)
r2=645206908651348169160730885127315661547369667782755651982707433 (pp63)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 18.86 hours.
Factorization parameters were as follows:
n: 242356644131952915693857958306561997141951434119821355798586963452163321943139645544433100857979163272057802064189622553413797
Y0: -2584890574796685030234625
Y1: 31203855047233
c0: 65219815947592200737902932232704
c1: 901218170185043975760679956
c2: -7370574428514092663673
c3: 3108310579549877
c4: 9942403361
c5: 2100
skew: 802565.39 
type: gnfs
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 18626736
Relations: 2121038 relations
Pruned matrix : 1171502 x 1171736
Polynomial selection time: 0.00 hours.
Total sieving time: 16.94 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.51 hours.
time per square root: 0.33 hours.
Prototype def-par.txt line would be: gnfs,125,5,65,2000,1e-05,0.28,250,20,50000,3600,5800000,5800000,28,28,55,55,2.5,2.5,100000
total time: 18.86 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
3025e40--
351e6118 / 904Makoto KamadaApril 2, 2012 07:00:00 UTC 2012 年 4 月 2 日 (月) 16 時 0 分 0 秒 (日本時間)

13×10243-73

c220

composite cofactor 合成数の残り
6409153098969902229618177648049721176713419168243674368873341206860182767690777580524358237369254436959338730977574986747684897743777942754616621959584943805305041581491188641249905948543341832188801968248430161383527261<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 2, 2012 07:00:00 UTC 2012 年 4 月 2 日 (月) 16 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 7, 2012 20:17:59 UTC 2012 年 4 月 8 日 (日) 5 時 17 分 59 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:02 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 2 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:13 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 13 秒 (日本時間)

13×10244-73

c240

composite cofactor 合成数の残り
547186409573236691795150244760690128336258676061436406416392021180323176711746408563046397198405582985028138008830746825266542918355578565445599148072851556745335235858388157202446344163415116655933394786576254635300258019437744918532361867<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 2, 2012 07:00:00 UTC 2012 年 4 月 2 日 (月) 16 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiApril 5, 2012 05:40:15 UTC 2012 年 4 月 5 日 (木) 14 時 40 分 15 秒 (日本時間)
4511e60--
5043e61200600Dmitry DomanovMay 7, 2012 20:32:05 UTC 2012 年 5 月 8 日 (火) 5 時 32 分 5 秒 (日本時間)
600Dmitry DomanovMay 8, 2012 20:47:40 UTC 2012 年 5 月 9 日 (水) 5 時 47 分 40 秒 (日本時間)
5511e72610 / 17323yoyo@homeMarch 1, 2013 15:40:14 UTC 2013 年 3 月 2 日 (土) 0 時 40 分 14 秒 (日本時間)

13×10245-73

c216

name 名前Serge Batalov
date 日付May 26, 2014 21:19:01 UTC 2014 年 5 月 27 日 (火) 6 時 19 分 1 秒 (日本時間)
composite number 合成数
199618908005227662559813073295457450043122892023405451673742944265326639609459166074658038231245879740659801414474270721069514429341586463855075645256851743271586400802563618767883561227739104412634654011928236092319<216>
prime factors 素因数
2042006765486325376110609810791715021374894548151<49>
97756242231492470735973599463898763795425965056758022298117940541656488342765947286868818664903413949636971231903400147013149935931780294446929113608054925382611834969<167>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2365819901
Step 1 took 21305ms
Step 2 took 14031ms
********** Factor found in step 2: 2042006765486325376110609810791715021374894548151
Found probable prime factor of 49 digits: 2042006765486325376110609810791715021374894548151
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 2, 2012 07:00:00 UTC 2012 年 4 月 2 日 (月) 16 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovApril 7, 2012 20:18:15 UTC 2012 年 4 月 8 日 (日) 5 時 18 分 15 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:02 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 2 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:13 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 13 秒 (日本時間)

13×10246-73

c149

composite cofactor 合成数の残り
56037666853127791315391934215266862181427824661843745336909614643066055195233104297286956822509894176790621662439529501900996560941631614475456457841<149>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 2, 2012 07:00:00 UTC 2012 年 4 月 2 日 (月) 16 時 0 分 0 秒 (日本時間)
403e622001200Serge BatalovApril 3, 2012 02:48:49 UTC 2012 年 4 月 3 日 (火) 11 時 48 分 49 秒 (日本時間)
1000Dmitry DomanovApril 7, 2012 20:18:30 UTC 2012 年 4 月 8 日 (日) 5 時 18 分 30 秒 (日本時間)
4511e64000Wataru SakaiMay 14, 2012 00:21:46 UTC 2012 年 5 月 14 日 (月) 9 時 21 分 46 秒 (日本時間)

13×10248-73

c166

composite cofactor 合成数の残り
2623547663769125898402387278374942065324157260447215135398779945915047249845792942749218110320838662932295963876003055125900385672094694367725145938379094977039234247<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 2, 2012 07:00:00 UTC 2012 年 4 月 2 日 (月) 16 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiApril 3, 2012 11:44:24 UTC 2012 年 4 月 3 日 (火) 20 時 44 分 24 秒 (日本時間)
4511e64000Wataru SakaiApril 13, 2012 05:15:51 UTC 2012 年 4 月 13 日 (金) 14 時 15 分 51 秒 (日本時間)