Table of contents 目次

41×10103-239

c94

name 名前Jo Yeong Uk
date 日付January 28, 2009 22:25:54 UTC 2009 年 1 月 29 日 (木) 7 時 25 分 54 秒 (日本時間)
composite number 合成数
5701549408145901503037085784626249029245523765558490565924019718661277785944948321258305737263<94>
prime factors 素因数
1880920131093652155510042425842068306778985389<46>
3031255455185522651922420611150645662026396145867<49>
factorization results 素因数分解の結果
Number: 45553_103
N=5701549408145901503037085784626249029245523765558490565924019718661277785944948321258305737263
  ( 94 digits)
SNFS difficulty: 106 digits.
Divisors found:
 r1=1880920131093652155510042425842068306778985389 (pp46)
 r2=3031255455185522651922420611150645662026396145867 (pp49)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.47 hours.
Scaled time: 1.13 units (timescale=2.392).
Factorization parameters were as follows:
n: 5701549408145901503037085784626249029245523765558490565924019718661277785944948321258305737263
m: 1000000000000000000000
deg: 5
c5: 41
c0: -2300
skew: 2.24
type: snfs
lss: 1
rlim: 240000
alim: 240000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 240000/240000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [120000, 260001)
Primes: RFBsize:21221, AFBsize:21090, largePrimes:852509 encountered
Relations: rels:745091, finalFF:50700
Max relations in full relation-set: 28
Initial matrix: 42378 x 50700 with sparse part having weight 2823579.
Pruned matrix : 40967 x 41242 with weight 1775227.
Total sieving time: 0.45 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,106,5,0,0,0,0,0,0,0,0,240000,240000,25,25,44,44,2.2,2.2,20000
total time: 0.47 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: 8046968k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.72 BogoMIPS (lpj=2672360)
Calibrating delay using timer specific routine.. 5344.08 BogoMIPS (lpj=2672043)
Calibrating delay using timer specific routine.. 5237.82 BogoMIPS (lpj=2618912)
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 KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)

41×10105-239

c84

name 名前Ignacio Santos
date 日付January 28, 2009 15:57:23 UTC 2009 年 1 月 29 日 (木) 0 時 57 分 23 秒 (日本時間)
composite number 合成数
709338182347601046367561329521658935509574931985120281467871275483245561945908361529<84>
prime factors 素因数
367779635852490880335270511439720960675651<42>
1928704346839101571853571281460612074420179<43>
factorization results 素因数分解の結果
Wed Jan 28 16:29:33 2009  
Wed Jan 28 16:29:33 2009  
Wed Jan 28 16:29:33 2009  Msieve v. 1.39
Wed Jan 28 16:29:33 2009  random seeds: 8259fdd8 6aed4e44
Wed Jan 28 16:29:33 2009  factoring 709338182347601046367561329521658935509574931985120281467871275483245561945908361529 (84 digits)
Wed Jan 28 16:29:34 2009  searching for 15-digit factors
Wed Jan 28 16:29:35 2009  commencing quadratic sieve (84-digit input)
Wed Jan 28 16:29:35 2009  using multiplier of 1
Wed Jan 28 16:29:35 2009  using 32kb Intel Core sieve core
Wed Jan 28 16:29:35 2009  sieve interval: 12 blocks of size 32768
Wed Jan 28 16:29:35 2009  processing polynomials in batches of 17
Wed Jan 28 16:29:35 2009  using a sieve bound of 1401437 (53824 primes)
Wed Jan 28 16:29:35 2009  using large prime bound of 119122145 (26 bits)
Wed Jan 28 16:29:35 2009  using trial factoring cutoff of 27 bits
Wed Jan 28 16:29:35 2009  polynomial 'A' values have 11 factors
Wed Jan 28 16:52:29 2009  54034 relations (27656 full + 26378 combined from 277915 partial), need 53920
Wed Jan 28 16:52:29 2009  begin with 305571 relations
Wed Jan 28 16:52:29 2009  reduce to 77053 relations in 2 passes
Wed Jan 28 16:52:29 2009  attempting to read 77053 relations
Wed Jan 28 16:52:30 2009  recovered 77053 relations
Wed Jan 28 16:52:30 2009  recovered 70831 polynomials
Wed Jan 28 16:52:30 2009  attempting to build 54034 cycles
Wed Jan 28 16:52:30 2009  found 54034 cycles in 1 passes
Wed Jan 28 16:52:30 2009  distribution of cycle lengths:
Wed Jan 28 16:52:30 2009     length 1 : 27656
Wed Jan 28 16:52:30 2009     length 2 : 26378
Wed Jan 28 16:52:30 2009  largest cycle: 2 relations
Wed Jan 28 16:52:30 2009  matrix is 53824 x 54034 (7.4 MB) with weight 1717018 (31.78/col)
Wed Jan 28 16:52:30 2009  sparse part has weight 1717018 (31.78/col)
Wed Jan 28 16:52:30 2009  filtering completed in 3 passes
Wed Jan 28 16:52:30 2009  matrix is 39180 x 39243 (5.9 MB) with weight 1381772 (35.21/col)
Wed Jan 28 16:52:30 2009  sparse part has weight 1381772 (35.21/col)
Wed Jan 28 16:52:30 2009  saving the first 48 matrix rows for later
Wed Jan 28 16:52:30 2009  matrix is 39132 x 39243 (3.7 MB) with weight 1032357 (26.31/col)
Wed Jan 28 16:52:30 2009  sparse part has weight 734730 (18.72/col)
Wed Jan 28 16:52:30 2009  matrix includes 64 packed rows
Wed Jan 28 16:52:30 2009  using block size 15697 for processor cache size 4096 kB
Wed Jan 28 16:52:30 2009  commencing Lanczos iteration
Wed Jan 28 16:52:30 2009  memory use: 4.3 MB
Wed Jan 28 16:52:35 2009  lanczos halted after 621 iterations (dim = 39131)
Wed Jan 28 16:52:35 2009  recovered 16 nontrivial dependencies
Wed Jan 28 16:52:35 2009  prp42 factor: 367779635852490880335270511439720960675651
Wed Jan 28 16:52:35 2009  prp43 factor: 1928704346839101571853571281460612074420179
Wed Jan 28 16:52:35 2009  elapsed time 00:23:02
software ソフトウェア
Msieve 1.39
execution environment 実行環境
Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)

41×10118-239

c101

name 名前Erik Branger
date 日付January 28, 2009 19:50:36 UTC 2009 年 1 月 29 日 (木) 4 時 50 分 36 秒 (日本時間)
composite number 合成数
18343178526798706907297331767407580668174940804953852814701597268572385811455413189451069954302418323<101>
prime factors 素因数
21601921391699076224361216972323<32>
849145693764416742375873463293188330565808251248427942826893089602001<69>
factorization results 素因数分解の結果
Number: 45553_118
N=18343178526798706907297331767407580668174940804953852814701597268572385811455413189451069954302418323
  ( 101 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=21601921391699076224361216972323
 r2=849145693764416742375873463293188330565808251248427942826893089602001
Version: 
Total time: 2.91 hours.
Scaled time: 2.30 units (timescale=0.790).
Factorization parameters were as follows:
n: 18343178526798706907297331767407580668174940804953852814701597268572385811455413189451069954302418323
m: 500000000000000000000000
deg: 5
c5: 328
c0: -575
skew: 1.12
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, 715001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 88452 x 88688
Total sieving time: 2.91 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: 2.91 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)

41×10119-239

c118

name 名前Erik Branger
date 日付January 28, 2009 18:10:01 UTC 2009 年 1 月 29 日 (木) 3 時 10 分 1 秒 (日本時間)
composite number 合成数
1141743247006404901141743247006404901141743247006404901141743247006404901141743247006404901141743247006404901141743247<118>
prime factors 素因数
13204137097414283580303342290636923082729711<44>
86468599847390874149233253667621779699370576402751798197713344576119700577<74>
factorization results 素因数分解の結果
Number: 45553_119
N=1141743247006404901141743247006404901141743247006404901141743247006404901141743247006404901141743247006404901141743247
  ( 118 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=13204137097414283580303342290636923082729711
 r2=86468599847390874149233253667621779699370576402751798197713344576119700577
Version: 
Total time: 2.59 hours.
Scaled time: 5.48 units (timescale=2.116).
Factorization parameters were as follows:
n: 1141743247006404901141743247006404901141743247006404901141743247006404901141743247006404901141743247006404901141743247
m: 1000000000000000000000000
deg: 5
c5: 41
c0: -230
skew: 1.41
type: snfs
lss: 1
rlim: 740000
alim: 740000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 740000/740000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [370000, 720001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 88538 x 88786
Total sieving time: 2.59 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,121,5,0,0,0,0,0,0,0,0,740000,740000,25,25,46,46,2.2,2.2,50000
total time: 2.59 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)

41×10121-239

c104

name 名前Erik Branger
date 日付January 28, 2009 19:26:42 UTC 2009 年 1 月 29 日 (木) 4 時 26 分 42 秒 (日本時間)
composite number 合成数
89447934445859334817066221992763935132167607196659414011628506260431975722429438832612506174321484477033<104>
prime factors 素因数
6424734750718627625220006148533474581870541453749<49>
13922432274087936529154302972714446189901873148104111717<56>
factorization results 素因数分解の結果
Number: 45553_121
N=89447934445859334817066221992763935132167607196659414011628506260431975722429438832612506174321484477033
  ( 104 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=6424734750718627625220006148533474581870541453749
 r2=13922432274087936529154302972714446189901873148104111717
Version: 
Total time: 2.23 hours.
Scaled time: 4.46 units (timescale=2.003).
Factorization parameters were as follows:
n: 89447934445859334817066221992763935132167607196659414011628506260431975722429438832612506174321484477033
m: 1000000000000000000000000
deg: 5
c5: 410
c0: -23
skew: 0.56
type: snfs
lss: 1
rlim: 770000
alim: 770000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 770000/770000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [385000, 685001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 95980 x 96228
Total sieving time: 2.23 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,122,5,0,0,0,0,0,0,0,0,770000,770000,25,25,46,46,2.2,2.2,50000
total time: 2.23 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)

41×10122-239

c91

name 名前Ignacio Santos
date 日付January 28, 2009 17:26:21 UTC 2009 年 1 月 29 日 (木) 2 時 26 分 21 秒 (日本時間)
composite number 合成数
1054474836018124158257047066798769193462469896437805554332753148131097644739785979743884659<91>
prime factors 素因数
458015487802174727396287622703879436789<39>
2302268949633360740904310241142947031318315208517831<52>
factorization results 素因数分解の結果
01/28/09 17:21:40 v1.06 @ IGNACIO1, starting SIQS on c91: 1054474836018124158257047066798769193462469896437805554332753148131097644739785979743884659
01/28/09 17:21:40 v1.06 @ IGNACIO1, ==== sieve params ====
01/28/09 17:21:40 v1.06 @ IGNACIO1, n = 91 digits, 304 bits
01/28/09 17:21:40 v1.06 @ IGNACIO1, factor base: 67412 primes (max prime = 1794517)
01/28/09 17:21:40 v1.06 @ IGNACIO1, single large prime cutoff: 215342040 (120 * pmax)
01/28/09 17:21:40 v1.06 @ IGNACIO1, double large prime range from 43 to 50 bits
01/28/09 17:21:40 v1.06 @ IGNACIO1, double large prime cutoff: 999152734477817
01/28/09 17:21:40 v1.06 @ IGNACIO1, using 10 large prime slices of factor base
01/28/09 17:21:40 v1.06 @ IGNACIO1, buckets hold 1024 elements
01/28/09 17:21:40 v1.06 @ IGNACIO1, sieve interval: 22 blocks of size 32768
01/28/09 17:21:40 v1.06 @ IGNACIO1, polynomial A has ~ 12 factors
01/28/09 17:21:40 v1.06 @ IGNACIO1, using multiplier of 29
01/28/09 17:21:40 v1.06 @ IGNACIO1, using small prime variation correction of 22 bits
01/28/09 17:21:40 v1.06 @ IGNACIO1, trial factoring cutoff at 97 bits
01/28/09 17:21:40 v1.06 @ IGNACIO1, ==== sieving started ====
01/28/09 18:22:30 v1.06 @ IGNACIO1, sieve time = 1199.1730, relation time = 820.1540, poly_time = 1601.3640
01/28/09 18:22:30 v1.06 @ IGNACIO1, 67481 relations found: 19365 full + 48116 from 818643 partial, using 428968 polys (209 A polys)
01/28/09 18:22:30 v1.06 @ IGNACIO1, trial division touched 28729166 sieve locations out of 618482630656
01/28/09 18:22:30 v1.06 @ IGNACIO1, ==== post processing stage (msieve-1.38) ====
01/28/09 18:22:31 v1.06 @ IGNACIO1, begin with 838008 relations
01/28/09 18:22:31 v1.06 @ IGNACIO1, reduce to 157869 relations in 10 passes
01/28/09 18:22:33 v1.06 @ IGNACIO1, recovered 157869 relations
01/28/09 18:22:33 v1.06 @ IGNACIO1, recovered 132185 polynomials
01/28/09 18:22:33 v1.06 @ IGNACIO1, attempting to build 67481 cycles
01/28/09 18:22:33 v1.06 @ IGNACIO1, found 67481 cycles in 5 passes
01/28/09 18:22:33 v1.06 @ IGNACIO1, distribution of cycle lengths:
01/28/09 18:22:33 v1.06 @ IGNACIO1,    length 1 : 19365
01/28/09 18:22:33 v1.06 @ IGNACIO1,    length 2 : 14696
01/28/09 18:22:33 v1.06 @ IGNACIO1,    length 3 : 12271
01/28/09 18:22:33 v1.06 @ IGNACIO1,    length 4 : 8498
01/28/09 18:22:33 v1.06 @ IGNACIO1,    length 5 : 5579
01/28/09 18:22:33 v1.06 @ IGNACIO1,    length 6 : 3334
01/28/09 18:22:33 v1.06 @ IGNACIO1,    length 7 : 1819
01/28/09 18:22:33 v1.06 @ IGNACIO1,    length 9+: 1919
01/28/09 18:22:33 v1.06 @ IGNACIO1, largest cycle: 18 relations
01/28/09 18:22:34 v1.06 @ IGNACIO1, matrix is 67412 x 67481 (16.1 MB) with weight 3938485 (58.36/col)
01/28/09 18:22:34 v1.06 @ IGNACIO1, sparse part has weight 3938485 (58.36/col)
01/28/09 18:22:34 v1.06 @ IGNACIO1, filtering completed in 3 passes
01/28/09 18:22:34 v1.06 @ IGNACIO1, matrix is 62217 x 62281 (15.0 MB) with weight 3685912 (59.18/col)
01/28/09 18:22:34 v1.06 @ IGNACIO1, sparse part has weight 3685912 (59.18/col)
01/28/09 18:22:34 v1.06 @ IGNACIO1, saving the first 48 matrix rows for later
01/28/09 18:22:34 v1.06 @ IGNACIO1, matrix is 62169 x 62281 (10.0 MB) with weight 2926881 (46.99/col)
01/28/09 18:22:34 v1.06 @ IGNACIO1, sparse part has weight 2258498 (36.26/col)
01/28/09 18:22:34 v1.06 @ IGNACIO1, matrix includes 64 packed rows
01/28/09 18:22:34 v1.06 @ IGNACIO1, using block size 24912 for processor cache size 4096 kB
01/28/09 18:22:35 v1.06 @ IGNACIO1, commencing Lanczos iteration
01/28/09 18:22:35 v1.06 @ IGNACIO1, memory use: 9.5 MB
01/28/09 18:22:53 v1.06 @ IGNACIO1, lanczos halted after 985 iterations (dim = 62167)
01/28/09 18:22:53 v1.06 @ IGNACIO1, recovered 18 nontrivial dependencies
01/28/09 18:22:54 v1.06 @ IGNACIO1, prp52 = 2302268949633360740904310241142947031318315208517831
01/28/09 18:22:55 v1.06 @ IGNACIO1, prp39 = 458015487802174727396287622703879436789
01/28/09 18:22:55 v1.06 @ IGNACIO1, Lanczos elapsed time = 23.3690 seconds.
01/28/09 18:22:55 v1.06 @ IGNACIO1, Sqrt elapsed time = 2.2310 seconds.
01/28/09 18:22:55 v1.06 @ IGNACIO1, Total elapsed time = 3675.7900 seconds.
01/28/09 18:22:55 v1.06 @ IGNACIO1, 
01/28/09 18:22:55 v1.06 @ IGNACIO1, 
software ソフトウェア
Yafu 1.06
execution environment 実行環境
Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)

41×10124-239

c116

name 名前Serge Batalov
date 日付January 28, 2009 20:01:01 UTC 2009 年 1 月 29 日 (木) 5 時 1 分 1 秒 (日本時間)
composite number 合成数
25375526124484375753605740196724841954806692635805568357462066712573456708638791376049190947078075637813928050611879<116>
prime factors 素因数
65888693420744699362403856113<29>
2542943309278235960488509909300823318289419<43>
151449373643723932213841050457974953231496357<45>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2501097197
Step 1 took 8922ms
Step 2 took 8826ms
********** Factor found in step 2: 65888693420744699362403856113
Found probable prime factor of 29 digits: 65888693420744699362403856113
Composite cofactor has 87 digits

Wed Jan 28 11:15:04 2009  Msieve v. 1.39
Wed Jan 28 11:15:04 2009  random seeds: 275c7966 7c142380
Wed Jan 28 11:15:04 2009  factoring 385127171401687385207501402488493862650469459394203243914566369266391722206958970146583 (87 digits)
Wed Jan 28 11:15:04 2009  searching for 15-digit factors
Wed Jan 28 11:15:05 2009  commencing quadratic sieve (87-digit input)
Wed Jan 28 11:15:05 2009  using multiplier of 3
Wed Jan 28 11:15:05 2009  using 64kb Opteron sieve core
Wed Jan 28 11:15:05 2009  sieve interval: 10 blocks of size 65536
Wed Jan 28 11:15:05 2009  processing polynomials in batches of 11
Wed Jan 28 11:15:05 2009  using a sieve bound of 1483927 (56667 primes)
Wed Jan 28 11:15:05 2009  using large prime bound of 118714160 (26 bits)
Wed Jan 28 11:15:05 2009  using double large prime bound of 342061674768240 (42-49 bits)
Wed Jan 28 11:15:05 2009  using trial factoring cutoff of 49 bits
Wed Jan 28 11:15:05 2009  polynomial 'A' values have 11 factors
Wed Jan 28 11:55:01 2009  56875 relations (15830 full + 41045 combined from 594180 partial), need 56763
Wed Jan 28 11:55:01 2009  begin with 610010 relations
Wed Jan 28 11:55:02 2009  reduce to 136243 relations in 9 passes
Wed Jan 28 11:55:02 2009  attempting to read 136243 relations
Wed Jan 28 11:55:03 2009  recovered 136243 relations
Wed Jan 28 11:55:03 2009  recovered 116276 polynomials
Wed Jan 28 11:55:03 2009  attempting to build 56875 cycles
Wed Jan 28 11:55:03 2009  found 56875 cycles in 5 passes
Wed Jan 28 11:55:03 2009  distribution of cycle lengths:
Wed Jan 28 11:55:03 2009     length 1 : 15830
Wed Jan 28 11:55:03 2009     length 2 : 11102
Wed Jan 28 11:55:03 2009     length 3 : 10213
Wed Jan 28 11:55:03 2009     length 4 : 7378
Wed Jan 28 11:55:03 2009     length 5 : 5089
Wed Jan 28 11:55:03 2009     length 6 : 3212
Wed Jan 28 11:55:03 2009     length 7 : 1901
Wed Jan 28 11:55:03 2009     length 9+: 2150
Wed Jan 28 11:55:03 2009  largest cycle: 18 relations
Wed Jan 28 11:55:03 2009  matrix is 56667 x 56875 (14.0 MB) with weight 3216000 (56.55/col)
Wed Jan 28 11:55:03 2009  sparse part has weight 3216000 (56.55/col)
Wed Jan 28 11:55:04 2009  filtering completed in 3 passes
Wed Jan 28 11:55:04 2009  matrix is 52253 x 52317 (13.0 MB) with weight 2983093 (57.02/col)
Wed Jan 28 11:55:04 2009  sparse part has weight 2983093 (57.02/col)
Wed Jan 28 11:55:04 2009  saving the first 48 matrix rows for later
Wed Jan 28 11:55:04 2009  matrix is 52205 x 52317 (8.6 MB) with weight 2356656 (45.05/col)
Wed Jan 28 11:55:04 2009  sparse part has weight 1732285 (33.11/col)
Wed Jan 28 11:55:04 2009  matrix includes 64 packed rows
Wed Jan 28 11:55:04 2009  using block size 20926 for processor cache size 1024 kB
Wed Jan 28 11:55:04 2009  commencing Lanczos iteration
Wed Jan 28 11:55:04 2009  memory use: 7.7 MB
Wed Jan 28 11:55:18 2009  lanczos halted after 827 iterations (dim = 52203)
Wed Jan 28 11:55:18 2009  recovered 16 nontrivial dependencies
Wed Jan 28 11:55:19 2009  prp43 factor: 2542943309278235960488509909300823318289419
Wed Jan 28 11:55:19 2009  prp45 factor: 151449373643723932213841050457974953231496357
Wed Jan 28 11:55:19 2009  elapsed time 00:40:15
software ソフトウェア
GMP-ECM 6.2.1; Msieve-1.39

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)

41×10125-239

c125

name 名前Erik Branger
date 日付January 28, 2009 21:04:54 UTC 2009 年 1 月 29 日 (木) 6 時 4 分 54 秒 (日本時間)
composite number 合成数
21693121693121693121693121693121693121693121693121693121693121693121693121693121693121693121693121693121693121693121693121693<125>
prime factors 素因数
18865962222763737173683333927093976699335628416363<50>
1149855037181548856673552853646671174178134269707019655492195514770948005911<76>
factorization results 素因数分解の結果
Number: 45553_125
N=21693121693121693121693121693121693121693121693121693121693121693121693121693121693121693121693121693121693121693121693121693
  ( 125 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=18865962222763737173683333927093976699335628416363
 r2=1149855037181548856673552853646671174178134269707019655492195514770948005911
Version: 
Total time: 2.71 hours.
Scaled time: 5.46 units (timescale=2.016).
Factorization parameters were as follows:
n: 21693121693121693121693121693121693121693121693121693121693121693121693121693121693121693121693121693121693121693121693121693
m: 10000000000000000000000000
deg: 5
c5: 41
c0: -23
skew: 0.89
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [450000, 750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 110535 x 110774
Total sieving time: 2.71 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,50000
total time: 2.71 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)

41×10128-239

c101

name 名前Serge Batalov
date 日付January 28, 2009 18:19:19 UTC 2009 年 1 月 29 日 (木) 3 時 19 分 19 秒 (日本時間)
composite number 合成数
93781002611429755242465421536184638264389530048803400850317297822207607956192605060513405207297830779<101>
prime factors 素因数
36815704935774161283902098630699<32>
2547309708588572668816893086055764752839607538779524027891261431143921<70>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3995894486
Step 1 took 8241ms
Step 2 took 8956ms
********** Factor found in step 2: 36815704935774161283902098630699
Found probable prime factor of 32 digits: 36815704935774161283902098630699
Probable prime cofactor 2547309708588572668816893086055764752839607538779524027891261431143921 has 70 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 KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)

41×10129-239

c113

name 名前Jo Yeong Uk
date 日付January 29, 2009 00:48:40 UTC 2009 年 1 月 29 日 (木) 9 時 48 分 40 秒 (日本時間)
composite number 合成数
77611836114015463765579271944208630546320167838921160599412055952667076355928840955602283169533935707733843129917<113>
prime factors 素因数
245833508742300870269048663236781<33>
315708938586453576137949202042096617259121045616596246935483076636501414393941457<81>
factorization results 素因数分解の結果
Number: 45553_129
N=77611836114015463765579271944208630546320167838921160599412055952667076355928840955602283169533935707733843129917
  ( 113 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=245833508742300870269048663236781
 r2=315708938586453576137949202042096617259121045616596246935483076636501414393941457
Version: 
Total time: 1.96 hours.
Scaled time: 4.67 units (timescale=2.389).
Factorization parameters were as follows:
n: 77611836114015463765579271944208630546320167838921160599412055952667076355928840955602283169533935707733843129917
m: 100000000000000000000000000
deg: 5
c5: 41
c0: -230
skew: 1.41
type: snfs
lss: 1
rlim: 1100000
alim: 1100000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [550000, 1100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3173600
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 166118 x 166366
Total sieving time: 1.72 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,50000
total time: 1.96 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: 8046968k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.72 BogoMIPS (lpj=2672360)
Calibrating delay using timer specific routine.. 5344.08 BogoMIPS (lpj=2672043)
Calibrating delay using timer specific routine.. 5237.82 BogoMIPS (lpj=2618912)
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 KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)

41×10130-239

c85

name 名前Erik Branger
date 日付January 28, 2009 16:12:49 UTC 2009 年 1 月 29 日 (木) 1 時 12 分 49 秒 (日本時間)
composite number 合成数
4618169088831855625167377731803863520723223439399359351692257045372290483853048787677<85>
prime factors 素因数
881390449722686422846375486232579191674737<42>
5239640491095494706973558926511971332248621<43>
factorization results 素因数分解の結果
Wed Jan 28 16:28:26 2009  Msieve v. 1.38
Wed Jan 28 16:28:26 2009  random seeds: 9bceceb0 5c6c8cd8
Wed Jan 28 16:28:26 2009  factoring 4618169088831855625167377731803863520723223439399359351692257045372290483853048787677 (85 digits)
Wed Jan 28 16:28:27 2009  searching for 15-digit factors
Wed Jan 28 16:28:28 2009  commencing quadratic sieve (85-digit input)
Wed Jan 28 16:28:28 2009  using multiplier of 5
Wed Jan 28 16:28:28 2009  using 64kb Pentium 4 sieve core
Wed Jan 28 16:28:28 2009  sieve interval: 6 blocks of size 65536
Wed Jan 28 16:28:28 2009  processing polynomials in batches of 17
Wed Jan 28 16:28:28 2009  using a sieve bound of 1429849 (54706 primes)
Wed Jan 28 16:28:28 2009  using large prime bound of 115817769 (26 bits)
Wed Jan 28 16:28:29 2009  using double large prime bound of 327186471420459 (41-49 bits)
Wed Jan 28 16:28:29 2009  using trial factoring cutoff of 49 bits
Wed Jan 28 16:28:29 2009  polynomial 'A' values have 11 factors
Wed Jan 28 17:11:40 2009  54993 relations (16294 full + 38699 combined from 569218 partial), need 54802
Wed Jan 28 17:11:43 2009  begin with 585512 relations
Wed Jan 28 17:11:43 2009  reduce to 127938 relations in 10 passes
Wed Jan 28 17:11:43 2009  attempting to read 127938 relations
Wed Jan 28 17:11:48 2009  recovered 127938 relations
Wed Jan 28 17:11:48 2009  recovered 105631 polynomials
Wed Jan 28 17:11:48 2009  attempting to build 54993 cycles
Wed Jan 28 17:11:48 2009  found 54993 cycles in 5 passes
Wed Jan 28 17:11:48 2009  distribution of cycle lengths:
Wed Jan 28 17:11:48 2009     length 1 : 16294
Wed Jan 28 17:11:48 2009     length 2 : 11182
Wed Jan 28 17:11:48 2009     length 3 : 9843
Wed Jan 28 17:11:48 2009     length 4 : 7059
Wed Jan 28 17:11:48 2009     length 5 : 4643
Wed Jan 28 17:11:48 2009     length 6 : 2735
Wed Jan 28 17:11:48 2009     length 7 : 1552
Wed Jan 28 17:11:48 2009     length 9+: 1685
Wed Jan 28 17:11:48 2009  largest cycle: 17 relations
Wed Jan 28 17:11:48 2009  matrix is 54706 x 54993 (11.6 MB) with weight 2819163 (51.26/col)
Wed Jan 28 17:11:48 2009  sparse part has weight 2819163 (51.26/col)
Wed Jan 28 17:11:49 2009  filtering completed in 3 passes
Wed Jan 28 17:11:49 2009  matrix is 49283 x 49347 (10.5 MB) with weight 2553042 (51.74/col)
Wed Jan 28 17:11:49 2009  sparse part has weight 2553042 (51.74/col)
Wed Jan 28 17:11:49 2009  saving the first 48 matrix rows for later
Wed Jan 28 17:11:49 2009  matrix is 49235 x 49347 (5.8 MB) with weight 1870616 (37.91/col)
Wed Jan 28 17:11:49 2009  sparse part has weight 1212608 (24.57/col)
Wed Jan 28 17:11:49 2009  matrix includes 64 packed rows
Wed Jan 28 17:11:49 2009  using block size 19738 for processor cache size 512 kB
Wed Jan 28 17:11:50 2009  commencing Lanczos iteration
Wed Jan 28 17:11:50 2009  memory use: 6.3 MB
Wed Jan 28 17:12:10 2009  lanczos halted after 780 iterations (dim = 49234)
Wed Jan 28 17:12:10 2009  recovered 17 nontrivial dependencies
Wed Jan 28 17:12:11 2009  prp42 factor: 881390449722686422846375486232579191674737
Wed Jan 28 17:12:11 2009  prp43 factor: 5239640491095494706973558926511971332248621
Wed Jan 28 17:12:11 2009  elapsed time 00:43:45
software ソフトウェア
Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)

41×10131-239

c122

name 名前Erik Branger
date 日付January 29, 2009 06:35:53 UTC 2009 年 1 月 29 日 (木) 15 時 35 分 53 秒 (日本時間)
composite number 合成数
75989156997392977105229538608994471183862080258012139504286349375102219420870458470076856934080344251900169694479805586273<122>
prime factors 素因数
1801364495446163282257831597361756468273<40>
42184220455933837447552299166930194478197239547739286056819295000322534357624766001<83>
factorization results 素因数分解の結果
Number: 45553_131
N=75989156997392977105229538608994471183862080258012139504286349375102219420870458470076856934080344251900169694479805586273
  ( 122 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=1801364495446163282257831597361756468273
 r2=42184220455933837447552299166930194478197239547739286056819295000322534357624766001
Version: 
Total time: 4.54 hours.
Scaled time: 3.58 units (timescale=0.789).
Factorization parameters were as follows:
n: 75989156997392977105229538608994471183862080258012139504286349375102219420870458470076856934080344251900169694479805586273
m: 100000000000000000000000000
deg: 5
c5: 410
c0: -23
skew: 0.56
type: snfs
lss: 1
rlim: 1140000
alim: 1140000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3

Factor base limits: 1140000/1140000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [570000, 1020001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 180838 x 181086
Total sieving time: 4.54 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,132,5,0,0,0,0,0,0,0,0,1140000,1140000,26,26,47,47,2.3,2.3,50000
total time: 4.54 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)

41×10138-239

c135

name 名前Serge Batalov
date 日付January 29, 2009 04:06:59 UTC 2009 年 1 月 29 日 (木) 13 時 6 分 59 秒 (日本時間)
composite number 合成数
787749534074970699560013065114223682440870751436201894441562433953926258958249274694026552923319307548946144830633850173881299594597191<135>
prime factors 素因数
31826703588216506921591134020605913404953501401931568298791155907<65>
24751213454811777993464835171415082026382268067334361474439281562727213<71>
factorization results 素因数分解の結果
SNFS difficulty: 141 digits.
Divisors found:
 r1=31826703588216506921591134020605913404953501401931568298791155907 (pp65)
 r2=24751213454811777993464835171415082026382268067334361474439281562727213 (pp71)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.301).
Factorization parameters were as follows:
n: 787749534074970699560013065114223682440870751436201894441562433953926258958249274694026552923319307548946144830633850173881299594597191
m: 5000000000000000000000000000
deg: 5
c5: 328
c0: -575
skew: 1.12
type: snfs
lss: 1
rlim: 1600000
alim: 1600000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [800000, 1800001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 277212 x 277460
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,141,5,0,0,0,0,0,0,0,0,1600000,1600000,26,26,49,49,2.4,2.4,100000
total time: 10.00 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 KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)

41×10139-239

c116

name 名前Erik Branger
date 日付January 29, 2009 06:34:05 UTC 2009 年 1 月 29 日 (木) 15 時 34 分 5 秒 (日本時間)
composite number 合成数
34999903024275338901522874375799121511839485670661437667979695890714240654775511337191106823261682968866354326963231<116>
prime factors 素因数
773862830377449253413698674936532384941341169<45>
45227528252266932279145332153783269490963211018115404781446254785187599<71>
factorization results 素因数分解の結果
Number: 45553_139
N=34999903024275338901522874375799121511839485670661437667979695890714240654775511337191106823261682968866354326963231
  ( 116 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=773862830377449253413698674936532384941341169
 r2=45227528252266932279145332153783269490963211018115404781446254785187599
Version: 
Total time: 9.89 hours.
Scaled time: 20.66 units (timescale=2.088).
Factorization parameters were as follows:
n: 34999903024275338901522874375799121511839485670661437667979695890714240654775511337191106823261682968866354326963231
m: 10000000000000000000000000000
deg: 5
c5: 41
c0: -230
skew: 1.41
type: snfs
lss: 1
rlim: 1600000
alim: 1600000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [800000, 1900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 284118 x 284366
Total sieving time: 9.89 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,141,5,0,0,0,0,0,0,0,0,1600000,1600000,26,26,48,48,2.3,2.3,100000
total time: 9.89 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)

41×10140-239

c112

name 名前Serge Batalov
date 日付January 28, 2009 20:28:26 UTC 2009 年 1 月 29 日 (木) 5 時 28 分 26 秒 (日本時間)
composite number 合成数
5431607064809193700168140992527292819132001061368063738369608010253662601787599444385754406673431615814663304841<112>
prime factors 素因数
23113065209519892999049301512692497833<38>
235001589601884725897441826945509931421660229052691677615339453591200234977<75>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1100794531
Step 1 took 8421ms
Step 2 took 9318ms
********** Factor found in step 2: 23113065209519892999049301512692497833
Found probable prime factor of 38 digits: 23113065209519892999049301512692497833
Probable prime cofactor has 75 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 KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)

41×10148-239

c89

name 名前Erik Branger
date 日付January 28, 2009 16:39:10 UTC 2009 年 1 月 29 日 (木) 1 時 39 分 10 秒 (日本時間)
composite number 合成数
99694712407355923179818470270485392821917098122466030908415422358077625320009088532818467<89>
prime factors 素因数
148975555407778170069581589916437657429373<42>
669201817267739198737277759103990448518471426079<48>
factorization results 素因数分解の結果
Wed Jan 28 16:28:55 2009  Msieve v. 1.39
Wed Jan 28 16:28:55 2009  random seeds: b9762c40 a5997af9
Wed Jan 28 16:28:55 2009  factoring 99694712407355923179818470270485392821917098122466030908415422358077625320009088532818467 (89 digits)
Wed Jan 28 16:28:56 2009  searching for 15-digit factors
Wed Jan 28 16:28:57 2009  commencing quadratic sieve (89-digit input)
Wed Jan 28 16:28:57 2009  using multiplier of 3
Wed Jan 28 16:28:57 2009  using 32kb Intel Core sieve core
Wed Jan 28 16:28:57 2009  sieve interval: 33 blocks of size 32768
Wed Jan 28 16:28:57 2009  processing polynomials in batches of 7
Wed Jan 28 16:28:57 2009  using a sieve bound of 1558267 (59333 primes)
Wed Jan 28 16:28:57 2009  using large prime bound of 124661360 (26 bits)
Wed Jan 28 16:28:57 2009  using double large prime bound of 373522957629360 (42-49 bits)
Wed Jan 28 16:28:57 2009  using trial factoring cutoff of 49 bits
Wed Jan 28 16:28:57 2009  polynomial 'A' values have 11 factors
Wed Jan 28 17:37:37 2009  59692 relations (16146 full + 43546 combined from 629922 partial), need 59429
Wed Jan 28 17:37:38 2009  begin with 646068 relations
Wed Jan 28 17:37:38 2009  reduce to 145663 relations in 10 passes
Wed Jan 28 17:37:38 2009  attempting to read 145663 relations
Wed Jan 28 17:37:40 2009  recovered 145663 relations
Wed Jan 28 17:37:40 2009  recovered 124755 polynomials
Wed Jan 28 17:37:40 2009  attempting to build 59692 cycles
Wed Jan 28 17:37:40 2009  found 59692 cycles in 6 passes
Wed Jan 28 17:37:40 2009  distribution of cycle lengths:
Wed Jan 28 17:37:40 2009     length 1 : 16146
Wed Jan 28 17:37:40 2009     length 2 : 11175
Wed Jan 28 17:37:40 2009     length 3 : 10326
Wed Jan 28 17:37:40 2009     length 4 : 7991
Wed Jan 28 17:37:40 2009     length 5 : 5681
Wed Jan 28 17:37:40 2009     length 6 : 3608
Wed Jan 28 17:37:40 2009     length 7 : 2154
Wed Jan 28 17:37:40 2009     length 9+: 2611
Wed Jan 28 17:37:40 2009  largest cycle: 20 relations
Wed Jan 28 17:37:40 2009  matrix is 59333 x 59692 (14.8 MB) with weight 3634461 (60.89/col)
Wed Jan 28 17:37:40 2009  sparse part has weight 3634461 (60.89/col)
Wed Jan 28 17:37:41 2009  filtering completed in 3 passes
Wed Jan 28 17:37:41 2009  matrix is 55373 x 55437 (13.8 MB) with weight 3393295 (61.21/col)
Wed Jan 28 17:37:41 2009  sparse part has weight 3393295 (61.21/col)
Wed Jan 28 17:37:41 2009  saving the first 48 matrix rows for later
Wed Jan 28 17:37:41 2009  matrix is 55325 x 55437 (10.4 MB) with weight 2859681 (51.58/col)
Wed Jan 28 17:37:41 2009  sparse part has weight 2396355 (43.23/col)
Wed Jan 28 17:37:41 2009  matrix includes 64 packed rows
Wed Jan 28 17:37:41 2009  using block size 22174 for processor cache size 2048 kB
Wed Jan 28 17:37:42 2009  commencing Lanczos iteration
Wed Jan 28 17:37:42 2009  memory use: 9.3 MB
Wed Jan 28 17:37:59 2009  lanczos halted after 876 iterations (dim = 55325)
Wed Jan 28 17:37:59 2009  recovered 18 nontrivial dependencies
Wed Jan 28 17:38:00 2009  prp42 factor: 148975555407778170069581589916437657429373
Wed Jan 28 17:38:00 2009  prp48 factor: 669201817267739198737277759103990448518471426079
Wed Jan 28 17:38:00 2009  elapsed time 01:09:05
software ソフトウェア
Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)

41×10149-239

c100

name 名前Serge Batalov
date 日付January 29, 2009 03:17:58 UTC 2009 年 1 月 29 日 (木) 12 時 17 分 58 秒 (日本時間)
composite number 合成数
3296853170394634386426903479758021052421717743274532650918450384213305617576039420469949938202947189<100>
prime factors 素因数
2906390360860183929041325401980600571603<40>
1134346306261106620176688918771075343769204867780752154765463<61>
factorization results 素因数分解の結果
Divisors found:
 r1=2906390360860183929041325401980600571603 (pp40)
 r2=1134346306261106620176688918771075343769204867780752154765463 (pp61)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.884).
Factorization parameters were as follows:
n: 3296853170394634386426903479758021052421717743274532650918450384213305617576039420469949938202947189
skew: 5917.96
# norm 5.93e+13
c5: 57120
c4: -320192048
c3: -593092523794
c2: -5737521223828465
c1: -90444080558235915828
c0: -4032485409702275555140
# alpha -5.83
Y1: 5964523141
Y0: -8959063309188302307
# Murphy_E 3.41e-09
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1400001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 183693 x 183941
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:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 4.50 hours.
software ソフトウェア
pol51; 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 KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)

41×10150-239

c137

name 名前Serge Batalov
date 日付January 29, 2009 00:06:51 UTC 2009 年 1 月 29 日 (木) 9 時 6 分 51 秒 (日本時間)
composite number 合成数
29059427458997073473836384899985076859472894414841290331579853838639660948795983700015021541574967831430744327175987893972471149131404363<137>
prime factors 素因数
33408920017609314616108752626191<32>
2321894412504908509073233224243572594876465727407<49>
374612401179637846452271743435694521178321815681110300299<57>
factorization results 素因数分解の結果
# I am very grateful to Mr.Erik Branger who kindly released this number
#                                                                            after the factor was found
#
# When I run ECM, I remove numbers (which are reserved by others) periodically - 
# but sometimes an overlap happens: a number is cracked and turns out to be reserved. I usually dismiss such factors. This p49 was a quite a bit lucky... 
# Thank you, Erik!

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4014584566
Step 1 took 11854ms
Step 2 took 11645ms
********** Factor found in step 2: 2321894412504908509073233224243572594876465727407
Found probable prime factor of 49 digits: 2321894412504908509073233224243572594876465727407
Composite cofactor has 89 digits

Wed Jan 28 15:13:15 2009  Msieve v. 1.39
Wed Jan 28 15:13:15 2009  random seeds: dcc1d19f 8003f6d6
Wed Jan 28 15:13:15 2009  factoring 12515395748615094072564422948254398042726817026678117369398473451436798060732256902531109 (89 digits)
Wed Jan 28 15:13:15 2009  searching for 15-digit factors
Wed Jan 28 15:13:16 2009  commencing quadratic sieve (89-digit input)
Wed Jan 28 15:13:16 2009  using multiplier of 1
Wed Jan 28 15:13:16 2009  using 64kb Opteron sieve core
Wed Jan 28 15:13:16 2009  sieve interval: 14 blocks of size 65536
Wed Jan 28 15:13:16 2009  processing polynomials in batches of 8
Wed Jan 28 15:13:16 2009  using a sieve bound of 1537153 (58332 primes)
Wed Jan 28 15:13:16 2009  using large prime bound of 122972240 (26 bits)
Wed Jan 28 15:13:16 2009  using double large prime bound of 364462296550480 (42-49 bits)
Wed Jan 28 15:13:16 2009  using trial factoring cutoff of 49 bits
Wed Jan 28 15:13:16 2009  polynomial 'A' values have 11 factors
Wed Jan 28 15:51:53 2009  58627 relations (16387 full + 42240 combined from 612438 partial), need 58428
Wed Jan 28 15:51:53 2009  begin with 628825 relations
Wed Jan 28 15:51:54 2009  reduce to 140159 relations in 10 passes
Wed Jan 28 15:51:54 2009  attempting to read 140159 relations
Wed Jan 28 15:51:55 2009  recovered 140159 relations
Wed Jan 28 15:51:55 2009  recovered 112789 polynomials
Wed Jan 28 15:51:55 2009  attempting to build 58627 cycles
Wed Jan 28 15:51:55 2009  found 58627 cycles in 5 passes
Wed Jan 28 15:51:55 2009  distribution of cycle lengths:
Wed Jan 28 15:51:55 2009     length 1 : 16387
Wed Jan 28 15:51:55 2009     length 2 : 11480
Wed Jan 28 15:51:55 2009     length 3 : 10452
Wed Jan 28 15:51:55 2009     length 4 : 7680
Wed Jan 28 15:51:55 2009     length 5 : 5251
Wed Jan 28 15:51:55 2009     length 6 : 3344
Wed Jan 28 15:51:55 2009     length 7 : 1897
Wed Jan 28 15:51:55 2009     length 9+: 2136
Wed Jan 28 15:51:55 2009  largest cycle: 20 relations
Wed Jan 28 15:51:55 2009  matrix is 58332 x 58627 (14.7 MB) with weight 3371755 (57.51/col)
Wed Jan 28 15:51:55 2009  sparse part has weight 3371755 (57.51/col)
Wed Jan 28 15:51:56 2009  filtering completed in 3 passes
Wed Jan 28 15:51:56 2009  matrix is 53667 x 53731 (13.5 MB) with weight 3121580 (58.10/col)
Wed Jan 28 15:51:56 2009  sparse part has weight 3121580 (58.10/col)
Wed Jan 28 15:51:56 2009  saving the first 48 matrix rows for later
Wed Jan 28 15:51:56 2009  matrix is 53619 x 53731 (9.6 MB) with weight 2500423 (46.54/col)
Wed Jan 28 15:51:56 2009  sparse part has weight 1968488 (36.64/col)
Wed Jan 28 15:51:56 2009  matrix includes 64 packed rows
Wed Jan 28 15:51:56 2009  using block size 21492 for processor cache size 1024 kB
Wed Jan 28 15:51:57 2009  commencing Lanczos iteration
Wed Jan 28 15:51:57 2009  memory use: 8.2 MB
Wed Jan 28 15:52:15 2009  lanczos halted after 849 iterations (dim = 53619)
Wed Jan 28 15:52:15 2009  recovered 17 nontrivial dependencies
Wed Jan 28 15:52:16 2009  prp32 factor: 33408920017609314616108752626191
Wed Jan 28 15:52:16 2009  prp57 factor: 374612401179637846452271743435694521178321815681110300299
Wed Jan 28 15:52:16 2009  elapsed time 00:39:01
software ソフトウェア
GMP-ECM 6.2.1+Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 23361002321894412504908509073233224243572594876465727407January 28, 2009 20:05:10 UTC 2009 年 1 月 29 日 (木) 5 時 5 分 10 秒 (日本時間)
100Serge BatalovJanuary 28, 2009 20:14:00 UTC 2009 年 1 月 29 日 (木) 5 時 14 分 0 秒 (日本時間)
100Serge BatalovJanuary 28, 2009 20:16:11 UTC 2009 年 1 月 29 日 (木) 5 時 16 分 11 秒 (日本時間)

41×10151-239

c131

name 名前Erik Branger
date 日付January 29, 2009 19:05:24 UTC 2009 年 1 月 30 日 (金) 4 時 5 分 24 秒 (日本時間)
composite number 合成数
77945338785038671394181877897307420049103361412246789040632117018754521459012051523341323925873080957218788678619520132547991575487<131>
prime factors 素因数
124434346315030176296076825378828222961733<42>
626397301816530774964119179790139452924785821296333787068498699938708732827425248548556339<90>
factorization results 素因数分解の結果
Number: 45553_151
N=77945338785038671394181877897307420049103361412246789040632117018754521459012051523341323925873080957218788678619520132547991575487
  ( 131 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=124434346315030176296076825378828222961733
 r2=626397301816530774964119179790139452924785821296333787068498699938708732827425248548556339
Version: 
Total time: 22.11 hours.
Scaled time: 43.01 units (timescale=1.945).
Factorization parameters were as follows:
n: 77945338785038671394181877897307420049103361412246789040632117018754521459012051523341323925873080957218788678619520132547991575487
m: 1000000000000000000000000000000
deg: 5
c5: 410
c0: -23
skew: 0.56
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 2000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 484391 x 484639
Total sieving time: 22.11 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,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 22.11 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)

41×10154-239

c112

name 名前Serge Batalov
date 日付January 28, 2009 17:53:36 UTC 2009 年 1 月 29 日 (木) 2 時 53 分 36 秒 (日本時間)
composite number 合成数
2483753352928067047577261830478779791153670635600193110398255873656725234462947724284870283823851129610924911461<112>
prime factors 素因数
19133469743565591575826954988903<32>
129811967521642553356376795770261489514163544206752823212917396577776180348802387<81>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2312512268
Step 1 took 2290ms
********** Factor found in step 1: 19133469743565591575826954988903
Found probable prime factor of 32 digits: 19133469743565591575826954988903
Probable prime cofactor has 81 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 KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)

41×10158-239

c156

name 名前Serge Batalov
date 日付January 29, 2009 08:13:40 UTC 2009 年 1 月 29 日 (木) 17 時 13 分 40 秒 (日本時間)
composite number 合成数
568733527535025662366486336523789707310306561242890830905812179220418920793452628658621167984463864613677347759744763490081842141767235400194201692329033153<156>
prime factors 素因数
28850941907203007847401689552967354640673245661890210464614317293<65>
19712823566187765936501050571307241754800318770326492415189741533994996509543568798904090021<92>
factorization results 素因数分解の結果
SNFS difficulty: 161 digits.
Divisors found:
 r1=28850941907203007847401689552967354640673245661890210464614317293 (pp65)
 r2=19712823566187765936501050571307241754800318770326492415189741533994996509543568798904090021 (pp92)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.952).
Factorization parameters were as follows:
n: 568733527535025662366486336523789707310306561242890830905812179220418920793452628658621167984463864613677347759744763490081842141767235400194201692329033153
m: 50000000000000000000000000000000
c5: 328
c0: -575
skew: 1.12
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
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: 52/52
Sieved rational special-q in [1700000, 3500001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 613407 x 613655
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,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,52,52,2.4,2.4,200000
total time: 27.00 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 KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)
351e60--
403e6700 / 2336Serge BatalovJanuary 29, 2009 04:08:41 UTC 2009 年 1 月 29 日 (木) 13 時 8 分 41 秒 (日本時間)

41×10161-239

c138

name 名前Jo Yeong Uk
date 日付January 31, 2009 11:19:33 UTC 2009 年 1 月 31 日 (土) 20 時 19 分 33 秒 (日本時間)
composite number 合成数
476113587991429327991160095841723465002630865947020881182067571272286331325153049728211155687436532750693507773602785210557141607007489361<138>
prime factors 素因数
48715522449375037037112608816998451240059843<44>
9773344594347818728692771659151250188561551518867168822085057404744657355124995709625315835227<94>
factorization results 素因数分解の結果
Number: 45553_161
N=476113587991429327991160095841723465002630865947020881182067571272286331325153049728211155687436532750693507773602785210557141607007489361
  ( 138 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=48715522449375037037112608816998451240059843
 r2=9773344594347818728692771659151250188561551518867168822085057404744657355124995709625315835227
Version: 
Total time: 19.15 hours.
Scaled time: 45.82 units (timescale=2.393).
Factorization parameters were as follows:
n: 476113587991429327991160095841723465002630865947020881182067571272286331325153049728211155687436532750693507773602785210557141607007489361
m: 100000000000000000000000000000000
deg: 5
c5: 410
c0: -23
skew: 0.56
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2000000, 3600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9381225
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 740977 x 741225
Total sieving time: 17.03 hours.
Total relation processing time: 0.72 hours.
Matrix solve time: 1.11 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 19.15 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: 8047104k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673804)
Calibrating delay using timer specific routine.. 5604.08 BogoMIPS (lpj=2802042)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672376)
Calibrating delay using timer specific routine.. 5344.70 BogoMIPS (lpj=2672350)
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 KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkJanuary 30, 2009 13:16:43 UTC 2009 年 1 月 30 日 (金) 22 時 16 分 43 秒 (日本時間)

41×10163-239

c151

name 名前Serge Batalov
date 日付January 29, 2009 17:35:08 UTC 2009 年 1 月 30 日 (金) 2 時 35 分 8 秒 (日本時間)
composite number 合成数
2554118727573182363624568773003137949230779989157913559867837585944130801792176347437384308522371049214854200576158632139427275758913382964941710397617<151>
prime factors 素因数
29133329337945510299957110140657349252840116046675345541662393249319<68>
87669991230507932658083828877276980219124823060697439168343320477973842654932855143<83>
factorization results 素因数分解の結果
SNFS difficulty: 166 digits.
Divisors found:
 r1=29133329337945510299957110140657349252840116046675345541662393249319 (pp68)
 r2=87669991230507932658083828877276980219124823060697439168343320477973842654932855143 (pp83)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.951).
Factorization parameters were as follows:
n: 2554118727573182363624568773003137949230779989157913559867837585944130801792176347437384308522371049214854200576158632139427275758913382964941710397617
m: 500000000000000000000000000000000
deg: 5
c5: 328
c0: -575
skew: 1.12
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, 4650001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 782389 x 782637
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: 42.00 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 KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)

41×10165-239

c166

name 名前Serge Batalov
date 日付January 30, 2009 18:09:58 UTC 2009 年 1 月 31 日 (土) 3 時 9 分 58 秒 (日本時間)
composite number 合成数
4555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553<166>
prime factors 素因数
7048830044955730285803652614749917171590703<43>
217664130389283169762486791539612080217356148339<48>
2969186257631440708130691194440226995175932326438344612604677326089467529109<76>
factorization results 素因数分解の結果
SNFS difficulty: 166 digits.
Divisors found:
 r1=7048830044955730285803652614749917171590703 (pp43)
 r2=217664130389283169762486791539612080217356148339 (pp48)
 r3=2969186257631440708130691194440226995175932326438344612604677326089467529109 (pp76)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.294).
Factorization parameters were as follows:
n: 4555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553
m: 1000000000000000000000000000000000
deg: 5
c5: 41
c0: -23
skew: 0.89
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2100000, 4100001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 773789 x 774037
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,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,52,52,2.4,2.4,100000
total time: 37.00 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 KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)
351e60--
403e6920 / 2336Serge BatalovJanuary 30, 2009 05:25:42 UTC 2009 年 1 月 30 日 (金) 14 時 25 分 42 秒 (日本時間)

41×10166-239

c146

name 名前Robert Backstrom
date 日付April 10, 2009 02:41:58 UTC 2009 年 4 月 10 日 (金) 11 時 41 分 58 秒 (日本時間)
composite number 合成数
40113814208206942961286412653651200042765317891904117999505219090653791939685124936497665627919725179282174773415014399429404984085252766453489941<146>
prime factors 素因数
1065505954138455564238719164964882682924840493039843<52>
37647667807395859819607873997112941704493623479901923145975021806996208571696732038445830885287<95>
factorization results 素因数分解の結果
Number: n
N=40113814208206942961286412653651200042765317891904117999505219090653791939685124936497665627919725179282174773415014399429404984085252766453489941
  ( 146 digits)
SNFS difficulty: 167 digits.
Divisors found:

Fri Apr 10 12:32:01 2009  prp52 factor: 1065505954138455564238719164964882682924840493039843
Fri Apr 10 12:32:01 2009  prp95 factor: 37647667807395859819607873997112941704493623479901923145975021806996208571696732038445830885287
Fri Apr 10 12:32:01 2009  elapsed time 01:07:27 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 44.86 hours.
Scaled time: 115.97 units (timescale=2.585).
Factorization parameters were as follows:
name: KA_4_5_165_3
n: 40113814208206942961286412653651200042765317891904117999505219090653791939685124936497665627919725179282174773415014399429404984085252766453489941
m: 1000000000000000000000000000000000
deg: 5
c5: 410
c0: -23
skew: 0.56
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2200000, 4801133)
Primes: RFBsize:309335, AFBsize:309429, largePrimes:16673429 encountered
Relations: rels:16590378, finalFF:596243
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1931330 hash collisions in 18160482 relations
Msieve: matrix is 738140 x 738388 (196.1 MB)

Total sieving time: 44.21 hours.
Total relation processing time: 0.65 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4400000,4400000,28,28,56,56,2.4,2.4,100000
total time: 44.86 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)

41×10168-239

c146

name 名前Robert Backstrom
date 日付May 9, 2009 13:19:58 UTC 2009 年 5 月 9 日 (土) 22 時 19 分 58 秒 (日本時間)
composite number 合成数
25965954814608141429080010895967929274799794171251472540569017121325201896645274787113262664165955396361635456063874183933768769701000624020781407<146>
prime factors 素因数
6007797507796559084764857897605363260004329<43>
56423297165889284989630934090458748431402470802993<50>
76600313933033143492732603924738124493658370144085431<53>
factorization results 素因数分解の結果
Number: n
N=25965954814608141429080010895967929274799794171251472540569017121325201896645274787113262664165955396361635456063874183933768769701000624020781407
  ( 146 digits)
SNFS difficulty: 171 digits.
Divisors found:

Sat May 09 23:13:11 2009  prp43 factor: 6007797507796559084764857897605363260004329
Sat May 09 23:13:12 2009  prp50 factor: 56423297165889284989630934090458748431402470802993
Sat May 09 23:13:12 2009  prp53 factor: 76600313933033143492732603924738124493658370144085431
Sat May 09 23:13:12 2009  elapsed time 01:36:25 (Msieve 1.39 - dependency 3)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 66.59 hours.
Scaled time: 174.53 units (timescale=2.621).
Factorization parameters were as follows:
name: KA_4_5_167_3
n: 25965954814608141429080010895967929274799794171251472540569017121325201896645274787113262664165955396361635456063874183933768769701000624020781407
m: 5000000000000000000000000000000000
deg: 5
c5: 328
c0: -575
skew: 1.12
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2500000, 6359039)
Primes: RFBsize:348513, AFBsize:348447, largePrimes:17695033 encountered
Relations: rels:17682863, finalFF:683070
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2408078 hash collisions in 19947869 relations
Msieve: matrix is 875534 x 875782 (231.8 MB)

Total sieving time: 65.68 hours.
Total relation processing time: 0.91 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,56,56,2.4,2.4,100000
total time: 66.59 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 KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)

41×10170-239

c117

name 名前Jo Yeong Uk
date 日付February 1, 2009 12:25:55 UTC 2009 年 2 月 1 日 (日) 21 時 25 分 55 秒 (日本時間)
composite number 合成数
604837310375148778124776070708546525562586241475263243320444004969928838465156382209315580150383458737203131177584507<117>
prime factors 素因数
192901592601939758636554313145335370935170023200299215809<57>
3135470797399039833359351146040596545713359677745700369560123<61>
factorization results 素因数分解の結果
Number: 45553_170
N=604837310375148778124776070708546525562586241475263243320444004969928838465156382209315580150383458737203131177584507
  ( 117 digits)
Divisors found:
 r1=192901592601939758636554313145335370935170023200299215809
 r2=3135470797399039833359351146040596545713359677745700369560123
Version: 
Total time: 20.73 hours.
Scaled time: 49.11 units (timescale=2.369).
Factorization parameters were as follows:
name: 45553_170
n: 604837310375148778124776070708546525562586241475263243320444004969928838465156382209315580150383458737203131177584507
skew: 85070.85
# norm 1.56e+16
c5: 15720
c4: 354141478
c3: 288449499827863
c2: -2433438192573369533
c1: -1708571568065724032767647
c0: 32726708019292214323410349959
# alpha -6.24
Y1: 2798172666233
Y0: -32887967898160717062940
# Murphy_E 3.92e-10
# M 414115915751592902022938657497943809537832392809746713569400063865266331813947822522717002899585836852504694144087261
type: gnfs
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 75000
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [1650000, 3225001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9178307
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 578724 x 578972
Polynomial selection time: 1.74 hours.
Total sieving time: 17.26 hours.
Total relation processing time: 0.89 hours.
Matrix solve time: 0.71 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3300000,3300000,27,27,52,52,2.4,2.4,75000
total time: 20.73 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673806)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672340)
Calibrating delay using timer specific routine.. 5344.70 BogoMIPS (lpj=2672353)
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 KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkJanuary 30, 2009 14:46:31 UTC 2009 年 1 月 30 日 (金) 23 時 46 分 31 秒 (日本時間)

41×10171-239

c155

name 名前Serge Batalov
date 日付January 28, 2009 19:47:05 UTC 2009 年 1 月 29 日 (木) 4 時 47 分 5 秒 (日本時間)
composite number 合成数
23294885367015297489321190020810455445609989933894462234640915748391477635988220823957768720276064649067999879166204159394064017585702499177465467603267269<155>
prime factors 素因数
1463794900797595489324207413307<31>
15914036422945819678315903115949927673919089268637693940382042994674920656345122295731706640532780037792152348394058778535167<125>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1832035179
Step 1 took 4149ms
Step 2 took 3431ms
********** Factor found in step 2: 1463794900797595489324207413307
Found probable prime factor of 31 digits: 1463794900797595489324207413307
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 KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)

41×10172-239

c135

name 名前Wataru Sakai
date 日付June 5, 2010 06:18:45 UTC 2010 年 6 月 5 日 (土) 15 時 18 分 45 秒 (日本時間)
composite number 合成数
354110125435843115407754969162385657216147002934911943688107622737636603581181935950684689021197436650513102044594740044749787233111733<135>
prime factors 素因数
86493164821305649250814391980365477386313759583657282953<56>
4094082187505018157420528702691676168989481930719449696650464709445170421037261<79>
factorization results 素因数分解の結果
Number: 45553_172
N=354110125435843115407754969162385657216147002934911943688107622737636603581181935950684689021197436650513102044594740044749787233111733
  ( 135 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=86493164821305649250814391980365477386313759583657282953
 r2=4094082187505018157420528702691676168989481930719449696650464709445170421037261
Version: 
Total time: 113.46 hours.
Scaled time: 228.63 units (timescale=2.015).
Factorization parameters were as follows:
n: 354110125435843115407754969162385657216147002934911943688107622737636603581181935950684689021197436650513102044594740044749787233111733
m: 10000000000000000000000000000000000
deg: 5
c5: 4100
c0: -23
skew: 0.35
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2750000, 6350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1074922 x 1075170
Total sieving time: 113.46 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 113.46 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)
351e61291Lionel DebrouxSeptember 24, 2009 13:32:21 UTC 2009 年 9 月 24 日 (木) 22 時 32 分 21 秒 (日本時間)
403e61984Wataru SakaiFebruary 24, 2010 04:38:33 UTC 2010 年 2 月 24 日 (水) 13 時 38 分 33 秒 (日本時間)

41×10175-239

c157

name 名前Warut Roonguthai
date 日付January 1, 2012 07:50:26 UTC 2012 年 1 月 1 日 (日) 16 時 50 分 26 秒 (日本時間)
composite number 合成数
3336027590864893687995825439934062545660370997078795016198906776059373205175132074966716022879200810896310474542863655437510224960023453813162632596447312147<157>
prime factors 素因数
286202149120596424134207153152839396914595423855888579673<57>
11656193362332853934935346798911757024299570232440924252019345891284832762776737640567723608648811339<101>
factorization results 素因数分解の結果
N = 3336027590864893687995825439934062545660370997078795016198906776059373205175132074966716022879200810896310474542863655437510224960023453813162632596447312147 (157 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=286202149120596424134207153152839396914595423855888579673 (pp57)
r2=11656193362332853934935346798911757024299570232440924252019345891284832762776737640567723608648811339 (pp101)
Version: Msieve v. 1.48
Total time: 34.03 hours.
Factorization parameters were as follows:
name: (41*10^175-23)/9
n: 3336027590864893687995825439934062545660370997078795016198906776059373205175132074966716022879200810896310474542863655437510224960023453813162632596447312147
Y0: 100000000000000000000000000000000000
Y1: -1
c0: -23
c1: 0
c2: 0
c3: 0
c4: 0
c5: 41
skew: 0.89
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20715990
Relations: 2321974 relations
Pruned matrix : 1334754 x 1334979
Polynomial selection time: 0.00 hours.
Total sieving time: 31.57 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.17 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 34.03 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosMay 13, 2011 16:53:30 UTC 2011 年 5 月 14 日 (土) 1 時 53 分 30 秒 (日本時間)
403e62144110Ignacio SantosMay 13, 2011 16:53:30 UTC 2011 年 5 月 14 日 (土) 1 時 53 分 30 秒 (日本時間)
2034Wataru SakaiMay 20, 2011 13:09:14 UTC 2011 年 5 月 20 日 (金) 22 時 9 分 14 秒 (日本時間)
4511e6403232Ignacio SantosMay 13, 2011 16:53:30 UTC 2011 年 5 月 14 日 (土) 1 時 53 分 30 秒 (日本時間)
4000Wataru SakaiAugust 31, 2011 04:13:50 UTC 2011 年 8 月 31 日 (水) 13 時 13 分 50 秒 (日本時間)
5043e60--
5511e72735 / 17500yoyo@homeJanuary 8, 2012 03:15:05 UTC 2012 年 1 月 8 日 (日) 12 時 15 分 5 秒 (日本時間)

41×10178-239

c144

name 名前Serge Batalov
date 日付January 28, 2009 17:56:38 UTC 2009 年 1 月 29 日 (木) 2 時 56 分 38 秒 (日本時間)
composite number 合成数
203276710528717782204097758041903495006515386386532898859776099218371844954578199678679213673564827897184227358808688153457227133516250691648199<144>
prime factors 素因数
1208868416299919985898567336255445891869<40>
composite cofactor 合成数の残り
168154538399558017254478603113207313708895276072507757115220953746111331152469234868619217627939730539571<105>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=744591357
Step 1 took 3877ms
Step 2 took 3636ms
********** Factor found in step 2: 1208868416299919985898567336255445891869
Found probable prime factor of 40 digits: 1208868416299919985898567336255445891869
software ソフトウェア
GMP-ECM 6.2.1

c105

name 名前Serge Batalov
date 日付January 29, 2009 09:46:07 UTC 2009 年 1 月 29 日 (木) 18 時 46 分 7 秒 (日本時間)
composite number 合成数
168154538399558017254478603113207313708895276072507757115220953746111331152469234868619217627939730539571<105>
prime factors 素因数
481911941006296666803436041025635734292586173461<48>
348932085078507959564569166156418142784583065154844041511<57>
factorization results 素因数分解の結果
Divisors found:
 r1=481911941006296666803436041025635734292586173461 (pp48)
 r2=348932085078507959564569166156418142784583065154844041511 (pp57)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.528).
Factorization parameters were as follows:
name: 45553_178
n: 168154538399558017254478603113207313708895276072507757115220953746111331152469234868619217627939730539571
skew: 9723.82
# norm 1.94e+14
c5: 45840
c4: 436103556
c3: -14526373230872
c2: -44181904912960523
c1: -101954573143161400030
c0: 412019275248612995904320
# alpha -5.43
Y1: 16582549357
Y0: -81826246411099303959
# Murphy_E 1.94e-09
# M 114387187697216149807785384983138201125110014197248308094008292071209457371172444703697085321264377513011
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2150001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 275264 x 275512
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:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 6.00 hours.
software ソフトウェア
pol51,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 KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)

41×10179-239

c154

name 名前Rich Dickerson
date 日付June 12, 2012 13:16:45 UTC 2012 年 6 月 12 日 (火) 22 時 16 分 45 秒 (日本時間)
composite number 合成数
4691025254996229623550870795450465946429513551166041519478986226196635966004953504966333176823933822342155778154043633729626896767714810945251867081900147<154>
prime factors 素因数
4764359717191595542845665697477300748777979<43>
984607698295586772359133859176576104971276354453892557928626266376354321516968333180735038803974776482145173993<111>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3040761969
Step 1 took 21428ms
Step 2 took 8193ms
********** Factor found in step 2: 4764359717191595542845665697477300748777979
Found probable prime factor of 43 digits: 4764359717191595542845665697477300748777979
Probable prime cofactor 984607698295586772359133859176576104971276354453892557928626266376354321516968333180735038803974776482145173993 has 111 digits
software ソフトウェア
GMP-ECM 6.3 [config GMP 5.0.2] [ECM]
execution environment 実行環境
Core i5, 3.3GHz, OpenSUSE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosMay 13, 2011 17:53:19 UTC 2011 年 5 月 14 日 (土) 2 時 53 分 19 秒 (日本時間)
403e6110 / 2144Ignacio SantosMay 13, 2011 17:53:19 UTC 2011 年 5 月 14 日 (土) 2 時 53 分 19 秒 (日本時間)
4511e632 / 4441Ignacio SantosMay 13, 2011 17:53:19 UTC 2011 年 5 月 14 日 (土) 2 時 53 分 19 秒 (日本時間)

41×10180-239

c146

name 名前Serge Batalov
date 日付January 28, 2009 19:48:30 UTC 2009 年 1 月 29 日 (木) 4 時 48 分 30 秒 (日本時間)
composite number 合成数
56428707913130971868793363603455309771775426733350732950709900990202415922720673290180576252426035525661757789333952606306257655543651540238936401<146>
prime factors 素因数
1236015933287564641565112604157<31>
45653705905749501607668550745050362451412108047028724874923313666054388301773089959197844701598951814422751612491493<116>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1040011698
Step 1 took 3317ms
Step 2 took 3189ms
********** Factor found in step 2: 1236015933287564641565112604157
Found probable prime factor of 31 digits: 1236015933287564641565112604157
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 KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)

41×10183-239

c184

name 名前Jo Yeong Uk
date 日付January 30, 2009 06:33:46 UTC 2009 年 1 月 30 日 (金) 15 時 33 分 46 秒 (日本時間)
composite number 合成数
4555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553<184>
prime factors 素因数
14589501503902084137302513137370873<35>
312248883509634249005847902099113991658769635405891185299817342330275330744748507088676770238588018801904100842443828422508631356486325904946577765161<150>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 4555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553 (184 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3268419040
Step 1 took 6263ms
Step 2 took 3376ms
********** Factor found in step 2: 14589501503902084137302513137370873
Found probable prime factor of 35 digits: 14589501503902084137302513137370873
Probable prime cofactor 312248883509634249005847902099113991658769635405891185299817342330275330744748507088676770238588018801904100842443828422508631356486325904946577765161 has 150 digits
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)

41×10187-239

c174

name 名前Kenji Ibusuki
date 日付March 19, 2018 15:54:52 UTC 2018 年 3 月 20 日 (火) 0 時 54 分 52 秒 (日本時間)
composite number 合成数
484729734984750214509314570506058196901944003079027631781179865511178279990224845523914312635042963725101046836646287436373662446299651789090621278985487170286555659504512087<174>
prime factors 素因数
615579856990035939731631145804497339867408310572037187417619937517971219<72>
787435991416132828701813252716389681375308234856551981541156649636006780243178215343286031938629564973<102>
factorization results 素因数分解の結果
Number: 45553_187
N=484729734984750214509314570506058196901944003079027631781179865511178279990224845523914312635042963725101046836646287436373662446299651789090621278985487170286555659504512087
  ( 174 digits)
SNFS difficulty: 188 digits.
Divisors found: (Total dependency: 1)
 r1=615579856990035939731631145804497339867408310572037187417619937517971219 (pp72)
 r2=787435991416132828701813252716389681375308234856551981541156649636006780243178215343286031938629564973 (pp102)
Msieve version: Msieve v. 1.49 (SVN unknown)
GGNFS version: GGNFS-0.77.1-VC8(UTE)
Total time: 343.29 hours (17.40 calendar hours).
Scaled time: 1539.30 units (timescale=4.484).
Factorization parameters were as follows:
n: 484729734984750214509314570506058196901944003079027631781179865511178279990224845523914312635042963725101046836646287436373662446299651789090621278985487170286555659504512087
m: 10000000000000000000000000000000000000
deg: 5
c5: 4100
c0: -23
skew: 0.35
# Murphy_E = 3.886e-11
type: snfs
lss: 1
rlim: 9700000
alim: 9700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
relslim: 27900000
qintsize: 5000

Polynomial score was as follows:
skew 0.35, size 2.780e-013, alpha 0.229, combined = 3.886e-011 rroots = 1
Factor base limits: 9700000/9700000
Large primes per side: 3
Large prime bits: 28/28
Sieved special-q in [4850000, 24010001)
Relations: raw-rels:28069792 rels:24007180, finalFF:1681069
Pruned matrix : 1680602 x 1680827
Total sieving time: 331.37 hours (15.54 calendar hours).
Total relation processing time: 0.11 hours.
Total matrix build processing time: 0.03 hours.
Matrix pruned processing time: (N/A)
Matrix solve time: 11.73 hours (1.68 calendar hours).
Total time of square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9700000,9700000,28,28,54,54,2.5,2.5,100000
total time: 343.29 hours (17.40 calendar hours).
 --------- CPU info (if available) ----------
software ソフトウェア
Msieve v. 1.49 (SVN unknown) + GGNFS-0.77.1-VC8 with 
factMsieve.pl (decomposed + modified) snfs
(without procrels.exe, matbuild.exe for "finalFF" calculation)
execution environment 実行環境
[Envilonment]
  PC #1   (Master) --- Intel Core i7 2600, 16GB RAM, Windows 7 64bit
  PC #2,3 (Slave)  --- Intel Core i7 4770, 16GB RAM, Windows 7 64bit
  PC #4   (Slave)  --- Intel Core 2 Quad Q6600, 4GB RAM, Windows Vista 32bit

[Threads used]
  (Sieving)
    PC #1   --- 7 threads used
    PC #2,3 --- 7 threads used x 2
    PC #4   --- 4 threads used
  (Relation processing and Matrix build processing)
    PC #1   --- 1 thread used
  (Matrix solve)
    PC #1   --- 7 threads used
  (Square root processing)
    PC #1   --- 1 thread used

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosMay 15, 2011 12:09:15 UTC 2011 年 5 月 15 日 (日) 21 時 9 分 15 秒 (日本時間)
403e61610110Ignacio SantosMay 15, 2011 12:09:15 UTC 2011 年 5 月 15 日 (日) 21 時 9 分 15 秒 (日本時間)
1500Dmitry DomanovSeptember 27, 2013 12:44:47 UTC 2013 年 9 月 27 日 (金) 21 時 44 分 47 秒 (日本時間)
4511e61032 / 410932Ignacio SantosMay 15, 2011 12:09:15 UTC 2011 年 5 月 15 日 (日) 21 時 9 分 15 秒 (日本時間)
1000Dmitry DomanovOctober 15, 2013 13:48:11 UTC 2013 年 10 月 15 日 (火) 22 時 48 分 11 秒 (日本時間)

41×10188-239

c167

composite cofactor 合成数の残り
10749434028993656680930197502893032562590701891875037361669451787106360280901796512663094918149595908389151640945434008875892291374219054539482242552296542372114486281<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosMay 15, 2011 13:23:01 UTC 2011 年 5 月 15 日 (日) 22 時 23 分 1 秒 (日本時間)
403e61610110Ignacio SantosMay 15, 2011 13:23:01 UTC 2011 年 5 月 15 日 (日) 22 時 23 分 1 秒 (日本時間)
1500Dmitry DomanovSeptember 27, 2013 12:44:58 UTC 2013 年 9 月 27 日 (金) 21 時 44 分 58 秒 (日本時間)
4511e61032 / 410932Ignacio SantosMay 15, 2011 13:23:01 UTC 2011 年 5 月 15 日 (日) 22 時 23 分 1 秒 (日本時間)
1000Dmitry DomanovOctober 15, 2013 13:48:29 UTC 2013 年 10 月 15 日 (火) 22 時 48 分 29 秒 (日本時間)

41×10189-239

c165

composite cofactor 合成数の残り
165253785240974823231480605376564364913161676547561546459238447170407007237299384826712545495911111876173019463927634316274925387843788287972284264694298196229482861<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosMay 15, 2011 14:48:48 UTC 2011 年 5 月 15 日 (日) 23 時 48 分 48 秒 (日本時間)
403e61610110Ignacio SantosMay 15, 2011 14:48:48 UTC 2011 年 5 月 15 日 (日) 23 時 48 分 48 秒 (日本時間)
1500Dmitry DomanovSeptember 27, 2013 12:45:07 UTC 2013 年 9 月 27 日 (金) 21 時 45 分 7 秒 (日本時間)
4511e61032 / 410932Ignacio SantosMay 15, 2011 14:48:48 UTC 2011 年 5 月 15 日 (日) 23 時 48 分 48 秒 (日本時間)
1000Dmitry DomanovOctober 15, 2013 13:48:44 UTC 2013 年 10 月 15 日 (火) 22 時 48 分 44 秒 (日本時間)

41×10190-239

c184

name 名前Ignacio Santos
date 日付August 6, 2010 16:25:38 UTC 2010 年 8 月 7 日 (土) 1 時 25 分 38 秒 (日本時間)
composite number 合成数
1142082923649386035579944429977596483534477674238489817398963134111981514791769159904163866369868841832119732341334590805630224797825347091465914324833292035893370982180478478537853741<184>
prime factors 素因数
5403483341777085569125517858872224926447466376963<49>
211360496814963872324416596092092935533181352657000315736128429588396794480044105137446105534428311407152534251664584487047338086805007<135>
factorization results 素因数分解の結果
Number: 2
N=1142082923649386035579944429977596483534477674238489817398963134111981514791769159904163866369868841832119732341334590805630224797825347091465914324833292035893370982180478478537853741
  ( 184 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=5403483341777085569125517858872224926447466376963 (pp49)
 r2=211360496814963872324416596092092935533181352657000315736128429588396794480044105137446105534428311407152534251664584487047338086805007 (pp135)
Version: Msieve-1.40
Total time: 310.45 hours.
Scaled time: 539.87 units (timescale=1.739).
Factorization parameters were as follows:
n: 1142082923649386035579944429977596483534477674238489817398963134111981514791769159904163866369868841832119732341334590805630224797825347091465914324833292035893370982180478478537853741
m: 100000000000000000000000000000000000000
deg: 5
c5: 41
c0: -23
skew: 0.89
type: snfs
lss: 1
rlim: 10900000
alim: 10900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10900000/10900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5450000, 10350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2104214 x 2104439
Total sieving time: 302.44 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 6.96 hours.
Time per square root: 0.82 hours.
Prototype def-par.txt line would be:
snfs,191.000,5,0,0,0,0,0,0,0,0,10900000,10900000,28,28,54,54,2.5,2.5,100000
total time: 310.45 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 KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)
351e60--
403e61577Wataru SakaiJune 25, 2010 04:41:31 UTC 2010 年 6 月 25 日 (金) 13 時 41 分 31 秒 (日本時間)
4511e6220 / 4130Dmitry DomanovJune 20, 2010 22:47:32 UTC 2010 年 6 月 21 日 (月) 7 時 47 分 32 秒 (日本時間)

41×10192-239

c189

name 名前yoyo@home
date 日付January 30, 2010 11:51:08 UTC 2010 年 1 月 30 日 (土) 20 時 51 分 8 秒 (日本時間)
composite number 合成数
392957436000651734284098641900763870918274437639571772238036362939321621284874972445057841417713754468692793543996856340511994786125727210864793889032653804498883425822095709096485427029721<189>
prime factors 素因数
273596510096225347668845623441795317327938775425387<51>
composite cofactor 合成数の残り
1436266258887755966542088159731039381741477706579832784799242817981990712699479089150285344934341385250477641138254036759562179695031399883<139>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 392957436000651734284098641900763870918274437639571772238036362939321621284874972445057841417713754468692793543996856340511994786125727210864793889032653804498883425822095709096485427029721 (189 digits)
[Thu Jan 28 17:50:03 2010]
Using MODMULN
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1809606589
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
20 25      30      35      40      45      50      55      60      65
2       5       14      55      246     1277    7553    49797   358989  2841353
Step 1 took 246309ms
Using 23 small primes for NTT
Estimated memory usage: 255M
Initializing tables of differences for F took 63ms
Computing roots of F took 6583ms
Building F from its roots took 8408ms
Computing 1/F took 4181ms
Initializing table of differences for G took 93ms
Computing roots of G took 5336ms
Building G from its roots took 7597ms
Computing roots of G took 5320ms
Building G from its roots took 7582ms
Computing G * H took 2309ms
Reducing  G * H mod F took 2215ms
Computing roots of G took 5351ms
Building G from its roots took 7551ms
Computing G * H took 2278ms
Reducing  G * H mod F took 2215ms
Computing roots of G took 5336ms
Building G from its roots took 7550ms
Computing G * H took 2293ms
Reducing  G * H mod F took 2168ms
Computing roots of G took 5320ms
Building G from its roots took 7535ms
Computing G * H took 2293ms
Reducing  G * H mod F took 2215ms
Computing polyeval(F,G) took 14913ms
Computing product of all F(g_i) took 78ms
Step 2 took 117282ms
********** Factor found in step 2: 273596510096225347668845623441795317327938775425387
Found probable prime factor of 51 digits: 273596510096225347668845623441795317327938775425387
Composite cofactor 1436266258887755966542088159731039381741477706579832784799242817981990712699479089150285344934341385250477641138254036759562179695031399883 has 139 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiAugust 15, 2009 07:30:39 UTC 2009 年 8 月 15 日 (土) 16 時 30 分 39 秒 (日本時間)
4511e60 / 3612--
5043e6100 / 7465yoyo@homeJanuary 28, 2010 16:15:11 UTC 2010 年 1 月 29 日 (金) 1 時 15 分 11 秒 (日本時間)

41×10193-239

c153

composite cofactor 合成数の残り
295144216476176889405740818000465447992500380903250421142618853186922164903408771064568655124449156938771994268893291822209063536143271631375110717266213<153>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosMay 15, 2011 15:55:43 UTC 2011 年 5 月 16 日 (月) 0 時 55 分 43 秒 (日本時間)
403e61610110Ignacio SantosMay 15, 2011 15:55:43 UTC 2011 年 5 月 16 日 (月) 0 時 55 分 43 秒 (日本時間)
1500Dmitry DomanovSeptember 27, 2013 12:45:34 UTC 2013 年 9 月 27 日 (金) 21 時 45 分 34 秒 (日本時間)
4511e61532 / 410932Ignacio SantosMay 15, 2011 15:55:43 UTC 2011 年 5 月 16 日 (月) 0 時 55 分 43 秒 (日本時間)
1500Dmitry DomanovOctober 14, 2013 13:41:15 UTC 2013 年 10 月 14 日 (月) 22 時 41 分 15 秒 (日本時間)

41×10195-239

c147

name 名前Dmitry Domanov
date 日付October 15, 2013 09:23:50 UTC 2013 年 10 月 15 日 (火) 18 時 23 分 50 秒 (日本時間)
composite number 合成数
359746563335254231149909829373307628495789427101859821503222871105877340179533308503938023205492135695710597516383987129125348750983204430029640923<147>
prime factors 素因数
257513914118534055896308086402173300209<39>
121213289977595985585602011968859376792696102263<48>
11525126867165231310705093930733877326247927045364396405878669<62>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1734757811
Step 1 took 65513ms
Step 2 took 27259ms
********** Factor found in step 2: 257513914118534055896308086402173300209
Found probable prime factor of 39 digits: 257513914118534055896308086402173300209
Composite cofactor 1396998544978281552321841286948095358977876720278690995796514628635594252738882374063547992504211055994327947 has 109 digits

N=1396998544978281552321841286948095358977876720278690995796514628635594252738882374063547992504211055994327947
  ( 109 digits)
Divisors found:
 r1=121213289977595985585602011968859376792696102263 (pp48)
 r2=11525126867165231310705093930733877326247927045364396405878669 (pp62)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 15.72 hours.
Scaled time: 13.13 units (timescale=0.835).
Factorization parameters were as follows:
n: 1396998544978281552321841286948095358977876720278690995796514628635594252738882374063547992504211055994327947
skew: 6253098.59
c0: 1487274695592500031843747955548
c1: 315417388414603394914964
c2: -278970317198591303
c3: -20122304034
c4: 3480
Y0: -141548164204716101921418377
Y1: 14370822903331
rlim: 3060000
alim: 3060000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
type: gnfs
Factor base limits: 3060000/3060000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1530000, 2730001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 410069 x 410295
Total sieving time: 15.13 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
gnfs,108,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3060000,3060000,26,26,52,52,2.5,2.5,100000
total time: 15.72 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 KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosMay 15, 2011 16:56:26 UTC 2011 年 5 月 16 日 (月) 1 時 56 分 26 秒 (日本時間)
403e61610110Ignacio SantosMay 15, 2011 16:56:26 UTC 2011 年 5 月 16 日 (月) 1 時 56 分 26 秒 (日本時間)
1500Dmitry DomanovSeptember 27, 2013 12:45:44 UTC 2013 年 9 月 27 日 (金) 21 時 45 分 44 秒 (日本時間)
4511e61532 / 410932Ignacio SantosMay 15, 2011 16:56:26 UTC 2011 年 5 月 16 日 (月) 1 時 56 分 26 秒 (日本時間)
1500Dmitry DomanovOctober 14, 2013 13:41:33 UTC 2013 年 10 月 14 日 (月) 22 時 41 分 33 秒 (日本時間)

41×10196-239

c175

name 名前Serge Batalov
date 日付January 28, 2009 17:57:42 UTC 2009 年 1 月 29 日 (木) 2 時 57 分 42 秒 (日本時間)
composite number 合成数
2650404995133908174919133633511620098023878242365468104431213599497198622191472350097868429114046026851452192588291150341782998597806942022193981338249491900887468760174928597<175>
prime factors 素因数
292583499806596595725013018613757<33>
composite cofactor 合成数の残り
9058627697344100435072959011588414226107521095119906981620337036029788299086931609550622788224999995837661941137272253328636031596381018952121<142>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3690523421
Step 1 took 4610ms
Step 2 took 2451ms
********** Factor found in step 2: 292583499806596595725013018613757
Found probable prime factor of 33 digits: 292583499806596595725013018613757
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 KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosMay 15, 2011 18:30:03 UTC 2011 年 5 月 16 日 (月) 3 時 30 分 3 秒 (日本時間)
403e61610110Ignacio SantosMay 15, 2011 18:30:03 UTC 2011 年 5 月 16 日 (月) 3 時 30 分 3 秒 (日本時間)
1500Dmitry DomanovSeptember 27, 2013 12:45:54 UTC 2013 年 9 月 27 日 (金) 21 時 45 分 54 秒 (日本時間)
4511e61532 / 410932Ignacio SantosMay 15, 2011 18:30:03 UTC 2011 年 5 月 16 日 (月) 3 時 30 分 3 秒 (日本時間)
1500Dmitry DomanovOctober 14, 2013 13:41:49 UTC 2013 年 10 月 14 日 (月) 22 時 41 分 49 秒 (日本時間)

41×10197-239

c179

name 名前Serge Batalov
date 日付January 29, 2009 02:18:59 UTC 2009 年 1 月 29 日 (木) 11 時 18 分 59 秒 (日本時間)
composite number 合成数
92738757933245521281681830840674094385416628315759345871627422383926623962435512164426232153721461080075010026432158980637269736384331249131122797943590144543631468832168330639029<179>
prime factors 素因数
2099403606495907277667888894462749<34>
44173858540728534572528842326705003005252228743462183058663832241052976873235501629877640848318099432460716303937164016586774713227903561777753721<146>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2823049403
Step 1 took 15948ms
********** Factor found in step 1: 2099403606495907277667888894462749
Found probable prime factor of 34 digits: 2099403606495907277667888894462749
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 KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)

41×10199-239

c169

name 名前Dmitry Domanov
date 日付August 21, 2013 05:05:08 UTC 2013 年 8 月 21 日 (水) 14 時 5 分 8 秒 (日本時間)
composite number 合成数
1284398418107707560392431066828108481223083489271124747511208565930185462756914100163666305555535097342071633784243195467776478350187211733823562220605667745655416042903<169>
prime factors 素因数
45407079466475880470176570766596221491<38>
composite cofactor 合成数の残り
28286303219655009316002693153991078752119007525303106533634768956851586868768782552929648923003263980386522183626812592344366590733<131>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=354234260
Step 1 took 19419ms
Step 2 took 8226ms
********** Factor found in step 2: 45407079466475880470176570766596221491
Found probable prime factor of 38 digits: 45407079466475880470176570766596221491

c131

name 名前Cyp
date 日付January 30, 2014 08:50:54 UTC 2014 年 1 月 30 日 (木) 17 時 50 分 54 秒 (日本時間)
composite number 合成数
28286303219655009316002693153991078752119007525303106533634768956851586868768782552929648923003263980386522183626812592344366590733<131>
prime factors 素因数
38945214494347461260709096911980881453083091312237881867213846419<65>
726310115040206169053358042807459315954474587533904580396566378207<66>
factorization results 素因数分解の結果
01/29/14 10:30:04 v1.34.3, 
01/29/14 10:30:04 v1.34.3, ****************************
01/29/14 10:30:04 v1.34.3, Starting factorization of 28286303219655009316002693153991078752119007525303106533634768956851586868768782552929648923003263980386522183626812592344366590733
01/29/14 10:30:04 v1.34.3, using pretesting plan: none
01/29/14 10:30:04 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/29/14 10:30:04 v1.34.3, ****************************
01/29/14 10:30:04 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C131
01/29/14 10:30:04 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C131
01/29/14 10:30:04 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C131
01/29/14 10:30:04 v1.34.3, final ECM pretested depth: 0.00
01/29/14 10:30:04 v1.34.3, scheduler: switching to sieve method
01/29/14 10:30:04 v1.34.3, nfs: commencing nfs on c131: 28286303219655009316002693153991078752119007525303106533634768956851586868768782552929648923003263980386522183626812592344366590733
01/29/14 10:30:04 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/29/14 10:30:04 v1.34.3, nfs: commencing lattice sieving with 6 threads
01/29/14 10:46:49 v1.34.3, nfs: commencing lattice sieving with 6 threads
[71 lines snipped]
01/30/14 08:02:08 v1.34.3, nfs: commencing lattice sieving with 6 threads
01/30/14 08:20:54 v1.34.3, nfs: commencing lattice sieving with 6 threads
01/30/14 08:38:40 v1.34.3, nfs: commencing msieve filtering
01/30/14 08:43:46 v1.34.3, nfs: commencing msieve linear algebra
01/30/14 09:41:57 v1.34.3, nfs: commencing msieve sqrt
01/30/14 09:50:53 v1.34.3, prp65 = 38945214494347461260709096911980881453083091312237881867213846419
01/30/14 09:50:53 v1.34.3, prp66 = 726310115040206169053358042807459315954474587533904580396566378207
01/30/14 09:50:53 v1.34.3, NFS elapsed time = 84049.1397 seconds.
01/30/14 09:50:53 v1.34.3, 
01/30/14 09:50:53 v1.34.3, 
01/30/14 09:50:53 v1.34.3, Total factoring time = 84049.1670 seconds
--
Thu Jan 30 08:38:40 2014  
Thu Jan 30 08:38:40 2014  commencing relation filtering
Thu Jan 30 08:38:40 2014  estimated available RAM is 15988.7 MB
Thu Jan 30 08:38:40 2014  commencing duplicate removal, pass 1
Thu Jan 30 08:40:19 2014  found 2996318 hash collisions in 21072415 relations
Thu Jan 30 08:40:39 2014  added 119827 free relations
Thu Jan 30 08:40:39 2014  commencing duplicate removal, pass 2
Thu Jan 30 08:40:59 2014  found 2080066 duplicates and 19112176 unique relations
Thu Jan 30 08:40:59 2014  memory use: 82.6 MB
Thu Jan 30 08:40:59 2014  reading ideals above 720000
Thu Jan 30 08:40:59 2014  commencing singleton removal, initial pass
Thu Jan 30 08:42:45 2014  memory use: 376.5 MB
Thu Jan 30 08:42:45 2014  reading all ideals from disk
Thu Jan 30 08:42:45 2014  memory use: 592.1 MB
Thu Jan 30 08:42:46 2014  keeping 20025499 ideals with weight <= 200, target excess is 120084
Thu Jan 30 08:42:47 2014  commencing in-memory singleton removal
Thu Jan 30 08:42:48 2014  begin with 19112176 relations and 20025499 unique ideals
Thu Jan 30 08:42:56 2014  reduce to 8279550 relations and 7511327 ideals in 17 passes
Thu Jan 30 08:42:56 2014  max relations containing the same ideal: 113
Thu Jan 30 08:42:59 2014  removing 1791076 relations and 1476613 ideals in 314463 cliques
Thu Jan 30 08:42:59 2014  commencing in-memory singleton removal
Thu Jan 30 08:43:00 2014  begin with 6488474 relations and 7511327 unique ideals
Thu Jan 30 08:43:03 2014  reduce to 6174537 relations and 5705537 ideals in 9 passes
Thu Jan 30 08:43:03 2014  max relations containing the same ideal: 92
Thu Jan 30 08:43:05 2014  removing 1394386 relations and 1079923 ideals in 314463 cliques
Thu Jan 30 08:43:05 2014  commencing in-memory singleton removal
Thu Jan 30 08:43:05 2014  begin with 4780151 relations and 5705537 unique ideals
Thu Jan 30 08:43:07 2014  reduce to 4522655 relations and 4354693 ideals in 10 passes
Thu Jan 30 08:43:07 2014  max relations containing the same ideal: 76
Thu Jan 30 08:43:09 2014  removing 213152 relations and 184488 ideals in 28664 cliques
Thu Jan 30 08:43:09 2014  commencing in-memory singleton removal
Thu Jan 30 08:43:09 2014  begin with 4309503 relations and 4354693 unique ideals
Thu Jan 30 08:43:10 2014  reduce to 4303003 relations and 4163658 ideals in 6 passes
Thu Jan 30 08:43:10 2014  max relations containing the same ideal: 73
Thu Jan 30 08:43:11 2014  relations with 0 large ideals: 468
Thu Jan 30 08:43:11 2014  relations with 1 large ideals: 1682
Thu Jan 30 08:43:11 2014  relations with 2 large ideals: 26721
Thu Jan 30 08:43:11 2014  relations with 3 large ideals: 170357
Thu Jan 30 08:43:11 2014  relations with 4 large ideals: 571312
Thu Jan 30 08:43:11 2014  relations with 5 large ideals: 1089282
Thu Jan 30 08:43:11 2014  relations with 6 large ideals: 1228650
Thu Jan 30 08:43:11 2014  relations with 7+ large ideals: 1214531
Thu Jan 30 08:43:11 2014  commencing 2-way merge
Thu Jan 30 08:43:13 2014  reduce to 2534607 relation sets and 2395262 unique ideals
Thu Jan 30 08:43:13 2014  commencing full merge
Thu Jan 30 08:43:36 2014  memory use: 293.0 MB
Thu Jan 30 08:43:37 2014  found 1312131 cycles, need 1293462
Thu Jan 30 08:43:37 2014  weight of 1293462 cycles is about 90830429 (70.22/cycle)
Thu Jan 30 08:43:37 2014  distribution of cycle lengths:
Thu Jan 30 08:43:37 2014  1 relations: 163601
Thu Jan 30 08:43:37 2014  2 relations: 146991
Thu Jan 30 08:43:37 2014  3 relations: 142819
Thu Jan 30 08:43:37 2014  4 relations: 131290
Thu Jan 30 08:43:37 2014  5 relations: 122285
Thu Jan 30 08:43:37 2014  6 relations: 107551
Thu Jan 30 08:43:37 2014  7 relations: 94795
Thu Jan 30 08:43:37 2014  8 relations: 82479
Thu Jan 30 08:43:37 2014  9 relations: 69737
Thu Jan 30 08:43:37 2014  10+ relations: 231914
Thu Jan 30 08:43:37 2014  heaviest cycle: 20 relations
Thu Jan 30 08:43:37 2014  commencing cycle optimization
Thu Jan 30 08:43:38 2014  start with 7473692 relations
Thu Jan 30 08:43:45 2014  pruned 172433 relations
Thu Jan 30 08:43:45 2014  memory use: 250.0 MB
Thu Jan 30 08:43:45 2014  distribution of cycle lengths:
Thu Jan 30 08:43:45 2014  1 relations: 163601
Thu Jan 30 08:43:45 2014  2 relations: 150020
Thu Jan 30 08:43:45 2014  3 relations: 147682
Thu Jan 30 08:43:45 2014  4 relations: 134153
Thu Jan 30 08:43:45 2014  5 relations: 125340
Thu Jan 30 08:43:45 2014  6 relations: 109145
Thu Jan 30 08:43:45 2014  7 relations: 96195
Thu Jan 30 08:43:45 2014  8 relations: 82566
Thu Jan 30 08:43:45 2014  9 relations: 69325
Thu Jan 30 08:43:45 2014  10+ relations: 215435
Thu Jan 30 08:43:45 2014  heaviest cycle: 20 relations
Thu Jan 30 08:43:46 2014  RelProcTime: 306
Thu Jan 30 08:43:46 2014  
Thu Jan 30 08:43:46 2014  commencing linear algebra
Thu Jan 30 08:43:47 2014  read 1293462 cycles
Thu Jan 30 08:43:48 2014  cycles contain 4195836 unique relations
Thu Jan 30 08:44:23 2014  read 4195836 relations
Thu Jan 30 08:44:28 2014  using 20 quadratic characters above 268435314
Thu Jan 30 08:44:45 2014  building initial matrix
Thu Jan 30 08:45:18 2014  memory use: 553.1 MB
Thu Jan 30 08:45:19 2014  read 1293462 cycles
Thu Jan 30 08:45:19 2014  matrix is 1293295 x 1293462 (393.3 MB) with weight 122881867 (95.00/col)
Thu Jan 30 08:45:19 2014  sparse part has weight 87585672 (67.71/col)
Thu Jan 30 08:45:26 2014  filtering completed in 2 passes
Thu Jan 30 08:45:26 2014  matrix is 1292389 x 1292564 (393.2 MB) with weight 122846573 (95.04/col)
Thu Jan 30 08:45:26 2014  sparse part has weight 87575654 (67.75/col)
Thu Jan 30 08:45:30 2014  matrix starts at (0, 0)
Thu Jan 30 08:45:30 2014  matrix is 1292389 x 1292564 (393.2 MB) with weight 122846573 (95.04/col)
Thu Jan 30 08:45:30 2014  sparse part has weight 87575654 (67.75/col)
Thu Jan 30 08:45:30 2014  saving the first 48 matrix rows for later
Thu Jan 30 08:45:31 2014  matrix includes 64 packed rows
Thu Jan 30 08:45:31 2014  matrix is 1292341 x 1292564 (377.0 MB) with weight 98218255 (75.99/col)
Thu Jan 30 08:45:31 2014  sparse part has weight 85906334 (66.46/col)
Thu Jan 30 08:45:31 2014  using block size 65536 for processor cache size 8192 kB
Thu Jan 30 08:45:34 2014  commencing Lanczos iteration (6 threads)
Thu Jan 30 08:45:34 2014  memory use: 344.5 MB
Thu Jan 30 08:45:38 2014  linear algebra at 0.1%, ETA 0h42m
Thu Jan 30 08:45:40 2014  checkpointing every 1460000 dimensions
Thu Jan 30 09:41:56 2014  lanczos halted after 20435 iterations (dim = 1292338)
Thu Jan 30 09:41:57 2014  recovered 32 nontrivial dependencies
Thu Jan 30 09:41:57 2014  BLanczosTime: 3491
Thu Jan 30 09:41:57 2014  
Thu Jan 30 09:41:57 2014  commencing square root phase
Thu Jan 30 09:41:57 2014  reading relations for dependency 1
Thu Jan 30 09:41:57 2014  read 646649 cycles
Thu Jan 30 09:41:58 2014  cycles contain 2099618 unique relations
Thu Jan 30 09:42:19 2014  read 2099618 relations
Thu Jan 30 09:42:25 2014  multiplying 2099618 relations
Thu Jan 30 09:43:58 2014  multiply complete, coefficients have about 94.54 million bits
Thu Jan 30 09:43:58 2014  initial square root is modulo 6108161
Thu Jan 30 09:46:12 2014  GCD is N, no factor found
Thu Jan 30 09:46:12 2014  reading relations for dependency 2
Thu Jan 30 09:46:12 2014  read 646407 cycles
Thu Jan 30 09:46:13 2014  cycles contain 2097142 unique relations
Thu Jan 30 09:46:34 2014  read 2097142 relations
Thu Jan 30 09:46:40 2014  multiplying 2097142 relations
Thu Jan 30 09:48:33 2014  multiply complete, coefficients have about 94.43 million bits
Thu Jan 30 09:48:33 2014  initial square root is modulo 5996143
Thu Jan 30 09:50:53 2014  sqrtTime: 536
--
# Murphy_E = 7.617e-11, selected by Dmitry Domanov
n: 28286303219655009316002693153991078752119007525303106533634768956851586868768782552929648923003263980386522183626812592344366590733
Y0: -24518956364705030526082914
Y1: 66983094522439
c0: -16367960711708761295232072737785
c1: 123298885199458442156815412
c2: 1095603566748925707087
c3: -2879162760017546
c4: 9163923532
c5: 3192
skew: 420175.63
type: gnfs
# selected mechanically
rlim: 10100000
alim: 10100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosMay 15, 2011 19:14:16 UTC 2011 年 5 月 16 日 (月) 4 時 14 分 16 秒 (日本時間)
403e61610110Ignacio SantosMay 15, 2011 19:14:16 UTC 2011 年 5 月 16 日 (月) 4 時 14 分 16 秒 (日本時間)
1500Dmitry DomanovSeptember 27, 2013 12:46:07 UTC 2013 年 9 月 27 日 (金) 21 時 46 分 7 秒 (日本時間)
4511e61962 / 410932Ignacio SantosMay 15, 2011 19:14:16 UTC 2011 年 5 月 16 日 (月) 4 時 14 分 16 秒 (日本時間)
230Ignacio SantosOctober 2, 2013 21:24:28 UTC 2013 年 10 月 3 日 (木) 6 時 24 分 28 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:45:14 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 14 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:08:23 UTC 2013 年 11 月 9 日 (土) 2 時 8 分 23 秒 (日本時間)

41×10201-239

c136

name 名前Sinkiti Sibata
date 日付May 3, 2011 11:03:47 UTC 2011 年 5 月 3 日 (火) 20 時 3 分 47 秒 (日本時間)
composite number 合成数
2020112505647632756928351550824281446496761217400100731640375421833487154531131232240765574391378366318710959461855840758615958423877129<136>
prime factors 素因数
5535423696470764481124640547750236624648461768491<49>
364942706542157110613129657561296017239181166563145726636255133661050417420721956113819<87>
factorization results 素因数分解の結果
Number: 45553_201
N=2020112505647632756928351550824281446496761217400100731640375421833487154531131232240765574391378366318710959461855840758615958423877129
  ( 136 digits)
Divisors found:
 r1=5535423696470764481124640547750236624648461768491 (pp49)
 r2=364942706542157110613129657561296017239181166563145726636255133661050417420721956113819 (pp87)
Version: Msieve v. 1.42
Total time: 21.04 hours.
Scaled time: 17.95 units (timescale=0.853).
Factorization parameters were as follows:
name: 45553_201
# Murphy_E = 3.341096e-11, selected by Jeff Gilchrist
n: 2020112505647632756928351550824281446496761217400100731640375421833487154531131232240765574391378366318710959461855840758615958423877129
Y0: -122132585150291904233707681
Y1: 1136096084137561
c0: -25963798040440918980248684089558440
c1: 125639942954371025936724098526
c2: 11108069105080236956201
c3: -398834278669675529
c4: -87377149969
c5: 74340
skew: 1012849.33
type: gnfs
# selected mechanically
rlim: 13600000
alim: 13600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 13600000/13600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [6800000, 12100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2013004 x 2013229
Total sieving time: 0.00 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 19.04 hours.
Time per square root: 1.75 hours.
Prototype def-par.txt line would be:
gnfs,135,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,13600000,13600000,28,28,55,55,2.6,2.6,100000
total time: 21.04 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.08 BogoMIPS (lpj=2913541)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.61 BogoMIPS).

Total time: 10 days.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)
351e60--
403e62336400Erik BrangerMay 9, 2009 21:44:56 UTC 2009 年 5 月 10 日 (日) 6 時 44 分 56 秒 (日本時間)
1936Wataru SakaiNovember 30, 2009 15:08:39 UTC 2009 年 12 月 1 日 (火) 0 時 8 分 39 秒 (日本時間)
4511e64000Wataru SakaiAugust 18, 2010 05:59:13 UTC 2010 年 8 月 18 日 (水) 14 時 59 分 13 秒 (日本時間)

41×10202-239

c188

composite cofactor 合成数の残り
22632751461338672973081143042243056004460961573443798939679328412334994200418140821006452596015386567458216010871975887844978635199551842194530863047280417736933093503888357332112236197719<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosMay 15, 2011 20:32:06 UTC 2011 年 5 月 16 日 (月) 5 時 32 分 6 秒 (日本時間)
403e61610110Ignacio SantosMay 15, 2011 20:32:06 UTC 2011 年 5 月 16 日 (月) 5 時 32 分 6 秒 (日本時間)
1500Dmitry DomanovSeptember 27, 2013 12:46:18 UTC 2013 年 9 月 27 日 (金) 21 時 46 分 18 秒 (日本時間)
4511e61532 / 410932Ignacio SantosMay 15, 2011 20:32:06 UTC 2011 年 5 月 16 日 (月) 5 時 32 分 6 秒 (日本時間)
1500Dmitry DomanovOctober 14, 2013 13:43:22 UTC 2013 年 10 月 14 日 (月) 22 時 43 分 22 秒 (日本時間)

41×10203-239

c202

name 名前Robert Backstrom
date 日付March 16, 2009 06:23:26 UTC 2009 年 3 月 16 日 (月) 15 時 23 分 26 秒 (日本時間)
composite number 合成数
2410346854791299235743680188124632569077013521457965902410346854791299235743680188124632569077013521457965902410346854791299235743680188124632569077013521457965902410346854791299235743680188124632569077<202>
prime factors 素因数
15094125456308490465551318878115996120339025537086545292989082174692040718527594086663<86>
159687744862615450159285579376615435998685210599348040474599213834374916299730103004717447075079045798991536586802979<117>
factorization results 素因数分解の結果
Number: n
N=2410346854791299235743680188124632569077013521457965902410346854791299235743680188124632569077013521457965902410346854791299235743680188124632569077013521457965902410346854791299235743680188124632569077
  ( 202 digits)
SNFS difficulty: 204 digits.
Divisors found:

Mon Mar 16 16:21:54 2009  prp86 factor: 15094125456308490465551318878115996120339025537086545292989082174692040718527594086663
Mon Mar 16 16:21:54 2009  prp117 factor: 159687744862615450159285579376615435998685210599348040474599213834374916299730103004717447075079045798991536586802979
Mon Mar 16 16:21:54 2009  elapsed time 21:39:56 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20050930-k8
Total time: 125.18 hours.
Scaled time: 252.35 units (timescale=2.016).
Factorization parameters were as follows:
name: KA_4_5_202_3
n: 2410346854791299235743680188124632569077013521457965902410346854791299235743680188124632569077013521457965902410346854791299235743680188124632569077013521457965902410346854791299235743680188124632569077
deg: 5
c5: 41000
c0: -23
m: 10000000000000000000000000000000000000000
skew: 0.22
type: snfs
rlim: 12000000
alim: 12000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [6000000, 36099990)
Primes: RFBsize:788060, AFBsize:789435, largePrimes:34237679 encountered
Relations: rels:27085591, finalFF:93251
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8491922 hash collisions in 45468912 relations
Msieve: matrix is 3545224 x 3545472 (963.9 MB)

Total sieving time: 124.26 hours.
Total relation processing time: 0.92 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,12000000,12000000,29,29,58,58,2.5,2.5,100000
total time: 125.18 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 3368976k/3407296k available (2745k kernel code, 36940k reserved, 1424k data, 412k init, 2489792k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.99 BogoMIPS (lpj=2830498)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830454)
Total of 4 processors activated (22643.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)
351e60--
403e6560 / 2336Serge BatalovFebruary 12, 2009 04:10:24 UTC 2009 年 2 月 12 日 (木) 13 時 10 分 24 秒 (日本時間)

41×10204-239

c197

name 名前Robert Backstrom
date 日付October 9, 2010 00:23:46 UTC 2010 年 10 月 9 日 (土) 9 時 23 分 46 秒 (日本時間)
composite number 合成数
59031358668587501004486957734717741940070296356036991128397393451064812758915768501304998327245666879065814523951952902835459154064130294498622489567470770381590551899160398569424839374341257730277<197>
prime factors 素因数
113979082590303404160888347152876138118535383549475308529071<60>
21971315524184228610106156528941405786711373596149023056172583<62>
23572278369361777423669282454851022258776660633544736247627201041025203412189<77>
factorization results 素因数分解の結果
Fri Oct  8 17:11:24 2010  
Fri Oct  8 17:11:24 2010  
Fri Oct  8 17:11:24 2010  Msieve v. 1.44
Fri Oct  8 17:11:24 2010  random seeds: 90e60967 bb91ef10
Fri Oct  8 17:11:24 2010  factoring 59031358668587501004486957734717741940070296356036991128397393451064812758915768501304998327245666879065814523951952902835459154064130294498622489567470770381590551899160398569424839374341257730277 (197 digits)
Fri Oct  8 17:11:26 2010  no P-1/P+1/ECM available, skipping
Fri Oct  8 17:11:26 2010  commencing number field sieve (197-digit input)
Fri Oct  8 17:11:26 2010  R0: -10000000000000000000000000000000000000000
Fri Oct  8 17:11:26 2010  R1:  1
Fri Oct  8 17:11:26 2010  A0: -23
Fri Oct  8 17:11:26 2010  A1:  0
Fri Oct  8 17:11:26 2010  A2:  0
Fri Oct  8 17:11:26 2010  A3:  0
Fri Oct  8 17:11:26 2010  A4:  0
Fri Oct  8 17:11:26 2010  A5:  410000
Fri Oct  8 17:11:26 2010  skew 1.00, size 1.207150e-14, alpha -0.031340, combined = 5.064178e-12
Fri Oct  8 17:11:26 2010  
Fri Oct  8 17:11:26 2010  commencing relation filtering
Fri Oct  8 17:11:26 2010  estimated available RAM is 3926.0 MB
Fri Oct  8 17:11:26 2010  commencing duplicate removal, pass 1
Fri Oct  8 17:11:30 2010  error -11 reading relation 745573
Fri Oct  8 17:11:40 2010  error -11 reading relation 2409678
Fri Oct  8 17:11:41 2010  error -6 reading relation 2576021
Fri Oct  8 17:11:41 2010  error -11 reading relation 2578966
Fri Oct  8 17:11:53 2010  error -6 reading relation 4348159
Fri Oct  8 17:12:05 2010  error -11 reading relation 6147162
Fri Oct  8 17:12:14 2010  error -11 reading relation 7328741
Fri Oct  8 17:12:32 2010  error -11 reading relation 10031857
Fri Oct  8 17:12:33 2010  error -11 reading relation 10209507
Fri Oct  8 17:12:38 2010  error -11 reading relation 10991905
Fri Oct  8 17:12:46 2010  error -11 reading relation 12165917
Fri Oct  8 17:12:46 2010  error -11 reading relation 12165921
Fri Oct  8 17:13:06 2010  error -11 reading relation 15094168
Fri Oct  8 17:13:08 2010  error -11 reading relation 15340249
Fri Oct  8 17:13:09 2010  error -6 reading relation 15527884
Fri Oct  8 17:13:11 2010  error -6 reading relation 15763874
Fri Oct  8 17:13:14 2010  error -6 reading relation 16157747
Fri Oct  8 17:13:24 2010  error -11 reading relation 17731486
Fri Oct  8 17:13:40 2010  error -11 reading relation 20017138
Fri Oct  8 17:13:56 2010  error -11 reading relation 22329252
Fri Oct  8 17:13:57 2010  error -11 reading relation 22587749
Fri Oct  8 17:14:04 2010  error -11 reading relation 23554948
Fri Oct  8 17:14:12 2010  error -6 reading relation 24774451
Fri Oct  8 17:14:22 2010  error -11 reading relation 26248197
Fri Oct  8 17:14:23 2010  error -11 reading relation 26507314
Fri Oct  8 17:14:38 2010  error -6 reading relation 28624059
Fri Oct  8 17:14:43 2010  error -6 reading relation 29432259
Fri Oct  8 17:15:08 2010  error -11 reading relation 33129007
Fri Oct  8 17:15:13 2010  error -11 reading relation 33860608
Fri Oct  8 17:15:19 2010  error -11 reading relation 34638575
Fri Oct  8 17:15:40 2010  error -11 reading relation 36716357
Fri Oct  8 17:15:43 2010  error -11 reading relation 37151566
Fri Oct  8 17:15:46 2010  error -11 reading relation 37620561
Fri Oct  8 17:15:56 2010  error -11 reading relation 39036985
Fri Oct  8 17:15:58 2010  error -11 reading relation 39357049
Fri Oct  8 17:15:58 2010  error -11 reading relation 39396108
Fri Oct  8 17:16:00 2010  error -11 reading relation 39719303
Fri Oct  8 17:16:04 2010  error -11 reading relation 40207482
Fri Oct  8 17:16:15 2010  error -11 reading relation 41911428
Fri Oct  8 17:16:18 2010  error -6 reading relation 42265741
Fri Oct  8 17:16:21 2010  error -11 reading relation 42784971
Fri Oct  8 17:16:23 2010  error -11 reading relation 42960694
Fri Oct  8 17:16:23 2010  error -6 reading relation 43088365
Fri Oct  8 17:16:42 2010  error -6 reading relation 45734346
Fri Oct  8 17:16:42 2010  error -11 reading relation 45734349
Fri Oct  8 17:16:49 2010  error -11 reading relation 46870868
Fri Oct  8 17:16:53 2010  error -6 reading relation 47406009
Fri Oct  8 17:16:56 2010  error -11 reading relation 47938696
Fri Oct  8 17:17:02 2010  error -11 reading relation 48739451
Fri Oct  8 17:17:09 2010  error -11 reading relation 49757181
Fri Oct  8 17:17:14 2010  error -11 reading relation 50615197
Fri Oct  8 17:17:15 2010  error -11 reading relation 50672967
Fri Oct  8 17:17:17 2010  error -11 reading relation 51046919
Fri Oct  8 17:17:18 2010  error -11 reading relation 51134940
Fri Oct  8 17:17:20 2010  found 7944088 hash collisions in 51423932 relations
Fri Oct  8 17:17:56 2010  added 1193 free relations
Fri Oct  8 17:17:56 2010  commencing duplicate removal, pass 2
Fri Oct  8 17:18:55 2010  found 7078901 duplicates and 44346224 unique relations
Fri Oct  8 17:18:55 2010  memory use: 213.2 MB
Fri Oct  8 17:18:55 2010  reading ideals above 51445760
Fri Oct  8 17:18:55 2010  commencing singleton removal, initial pass
Fri Oct  8 17:24:41 2010  memory use: 753.0 MB
Fri Oct  8 17:24:45 2010  reading all ideals from disk
Fri Oct  8 17:24:50 2010  memory use: 685.0 MB
Fri Oct  8 17:24:54 2010  commencing in-memory singleton removal
Fri Oct  8 17:24:58 2010  begin with 44346224 relations and 36289492 unique ideals
Fri Oct  8 17:25:34 2010  reduce to 25730361 relations and 15613846 ideals in 14 passes
Fri Oct  8 17:25:34 2010  max relations containing the same ideal: 39
Fri Oct  8 17:25:37 2010  reading ideals above 720000
Fri Oct  8 17:25:37 2010  commencing singleton removal, initial pass
Fri Oct  8 17:30:01 2010  memory use: 689.0 MB
Fri Oct  8 17:30:01 2010  reading all ideals from disk
Fri Oct  8 17:30:12 2010  memory use: 899.7 MB
Fri Oct  8 17:30:18 2010  keeping 21630396 ideals with weight <= 200, target excess is 141759
Fri Oct  8 17:30:23 2010  commencing in-memory singleton removal
Fri Oct  8 17:30:29 2010  begin with 25731558 relations and 21630396 unique ideals
Fri Oct  8 17:31:28 2010  reduce to 25614488 relations and 21507819 ideals in 10 passes
Fri Oct  8 17:31:28 2010  max relations containing the same ideal: 200
Fri Oct  8 17:31:52 2010  removing 2476912 relations and 2076912 ideals in 400000 cliques
Fri Oct  8 17:31:54 2010  commencing in-memory singleton removal
Fri Oct  8 17:31:59 2010  begin with 23137576 relations and 21507819 unique ideals
Fri Oct  8 17:32:36 2010  reduce to 22993299 relations and 19283896 ideals in 7 passes
Fri Oct  8 17:32:36 2010  max relations containing the same ideal: 195
Fri Oct  8 17:32:58 2010  removing 1856728 relations and 1456728 ideals in 400000 cliques
Fri Oct  8 17:32:59 2010  commencing in-memory singleton removal
Fri Oct  8 17:33:04 2010  begin with 21136571 relations and 19283896 unique ideals
Fri Oct  8 17:33:38 2010  reduce to 21044779 relations and 17733830 ideals in 7 passes
Fri Oct  8 17:33:38 2010  max relations containing the same ideal: 183
Fri Oct  8 17:33:58 2010  removing 1665308 relations and 1265308 ideals in 400000 cliques
Fri Oct  8 17:33:58 2010  commencing in-memory singleton removal
Fri Oct  8 17:34:03 2010  begin with 19379471 relations and 17733830 unique ideals
Fri Oct  8 17:34:38 2010  reduce to 19299532 relations and 16387279 ideals in 8 passes
Fri Oct  8 17:34:38 2010  max relations containing the same ideal: 172
Fri Oct  8 17:34:56 2010  removing 1553208 relations and 1153208 ideals in 400000 cliques
Fri Oct  8 17:34:57 2010  commencing in-memory singleton removal
Fri Oct  8 17:35:01 2010  begin with 17746324 relations and 16387279 unique ideals
Fri Oct  8 17:35:26 2010  reduce to 17665441 relations and 15151762 ideals in 6 passes
Fri Oct  8 17:35:26 2010  max relations containing the same ideal: 161
Fri Oct  8 17:35:42 2010  removing 1485461 relations and 1085461 ideals in 400000 cliques
Fri Oct  8 17:35:43 2010  commencing in-memory singleton removal
Fri Oct  8 17:35:47 2010  begin with 16179980 relations and 15151762 unique ideals
Fri Oct  8 17:36:13 2010  reduce to 16103098 relations and 13987996 ideals in 7 passes
Fri Oct  8 17:36:13 2010  max relations containing the same ideal: 152
Fri Oct  8 17:36:28 2010  removing 1431865 relations and 1031865 ideals in 400000 cliques
Fri Oct  8 17:36:28 2010  commencing in-memory singleton removal
Fri Oct  8 17:36:32 2010  begin with 14671233 relations and 13987996 unique ideals
Fri Oct  8 17:36:52 2010  reduce to 14589087 relations and 12872178 ideals in 6 passes
Fri Oct  8 17:36:52 2010  max relations containing the same ideal: 145
Fri Oct  8 17:37:05 2010  removing 1400006 relations and 1000006 ideals in 400000 cliques
Fri Oct  8 17:37:06 2010  commencing in-memory singleton removal
Fri Oct  8 17:37:09 2010  begin with 13189081 relations and 12872178 unique ideals
Fri Oct  8 17:37:27 2010  reduce to 13100792 relations and 11781787 ideals in 6 passes
Fri Oct  8 17:37:27 2010  max relations containing the same ideal: 130
Fri Oct  8 17:37:39 2010  removing 1371004 relations and 971004 ideals in 400000 cliques
Fri Oct  8 17:37:40 2010  commencing in-memory singleton removal
Fri Oct  8 17:37:43 2010  begin with 11729788 relations and 11781787 unique ideals
Fri Oct  8 17:37:58 2010  reduce to 11638322 relations and 10717000 ideals in 6 passes
Fri Oct  8 17:37:58 2010  max relations containing the same ideal: 120
Fri Oct  8 17:38:09 2010  removing 1351514 relations and 951514 ideals in 400000 cliques
Fri Oct  8 17:38:10 2010  commencing in-memory singleton removal
Fri Oct  8 17:38:12 2010  begin with 10286808 relations and 10717000 unique ideals
Fri Oct  8 17:38:28 2010  reduce to 10187314 relations and 9663186 ideals in 7 passes
Fri Oct  8 17:38:28 2010  max relations containing the same ideal: 112
Fri Oct  8 17:38:38 2010  removing 1224498 relations and 864811 ideals in 359687 cliques
Fri Oct  8 17:38:38 2010  commencing in-memory singleton removal
Fri Oct  8 17:38:40 2010  begin with 8962816 relations and 9663186 unique ideals
Fri Oct  8 17:38:52 2010  reduce to 8866226 relations and 8698896 ideals in 6 passes
Fri Oct  8 17:38:52 2010  max relations containing the same ideal: 100
Fri Oct  8 17:39:03 2010  relations with 0 large ideals: 3095
Fri Oct  8 17:39:03 2010  relations with 1 large ideals: 581
Fri Oct  8 17:39:03 2010  relations with 2 large ideals: 9340
Fri Oct  8 17:39:03 2010  relations with 3 large ideals: 83326
Fri Oct  8 17:39:03 2010  relations with 4 large ideals: 401795
Fri Oct  8 17:39:03 2010  relations with 5 large ideals: 1157869
Fri Oct  8 17:39:03 2010  relations with 6 large ideals: 2179982
Fri Oct  8 17:39:03 2010  relations with 7+ large ideals: 5030238
Fri Oct  8 17:39:03 2010  commencing 2-way merge
Fri Oct  8 17:39:15 2010  reduce to 6053990 relation sets and 5886660 unique ideals
Fri Oct  8 17:39:15 2010  commencing full merge
Fri Oct  8 17:41:19 2010  memory use: 737.3 MB
Fri Oct  8 17:41:20 2010  found 3225884 cycles, need 3200860
Fri Oct  8 17:41:21 2010  weight of 3200860 cycles is about 224374006 (70.10/cycle)
Fri Oct  8 17:41:21 2010  distribution of cycle lengths:
Fri Oct  8 17:41:21 2010  1 relations: 308536
Fri Oct  8 17:41:21 2010  2 relations: 378725
Fri Oct  8 17:41:21 2010  3 relations: 409880
Fri Oct  8 17:41:21 2010  4 relations: 394177
Fri Oct  8 17:41:21 2010  5 relations: 368029
Fri Oct  8 17:41:21 2010  6 relations: 318336
Fri Oct  8 17:41:21 2010  7 relations: 265509
Fri Oct  8 17:41:21 2010  8 relations: 210717
Fri Oct  8 17:41:21 2010  9 relations: 161667
Fri Oct  8 17:41:21 2010  10+ relations: 385284
Fri Oct  8 17:41:21 2010  heaviest cycle: 20 relations
Fri Oct  8 17:41:22 2010  commencing cycle optimization
Fri Oct  8 17:41:29 2010  start with 17180263 relations
Fri Oct  8 17:42:00 2010  pruned 508899 relations
Fri Oct  8 17:42:00 2010  memory use: 546.6 MB
Fri Oct  8 17:42:00 2010  distribution of cycle lengths:
Fri Oct  8 17:42:00 2010  1 relations: 308536
Fri Oct  8 17:42:00 2010  2 relations: 387207
Fri Oct  8 17:42:00 2010  3 relations: 426057
Fri Oct  8 17:42:00 2010  4 relations: 406488
Fri Oct  8 17:42:00 2010  5 relations: 380857
Fri Oct  8 17:42:00 2010  6 relations: 324895
Fri Oct  8 17:42:00 2010  7 relations: 269007
Fri Oct  8 17:42:00 2010  8 relations: 208526
Fri Oct  8 17:42:00 2010  9 relations: 156490
Fri Oct  8 17:42:00 2010  10+ relations: 332797
Fri Oct  8 17:42:00 2010  heaviest cycle: 20 relations
Fri Oct  8 17:42:05 2010  RelProcTime: 1839
Fri Oct  8 17:42:05 2010  
Fri Oct  8 17:42:05 2010  commencing linear algebra
Fri Oct  8 17:42:08 2010  read 3200860 cycles
Fri Oct  8 17:42:14 2010  cycles contain 8762436 unique relations
Fri Oct  8 17:43:24 2010  read 8762436 relations
Fri Oct  8 17:43:39 2010  using 20 quadratic characters above 536870820
Fri Oct  8 17:44:21 2010  building initial matrix
Fri Oct  8 17:46:29 2010  memory use: 1136.9 MB
Fri Oct  8 17:46:30 2010  read 3200860 cycles
Fri Oct  8 17:46:32 2010  matrix is 3200683 x 3200860 (957.5 MB) with weight 279421158 (87.30/col)
Fri Oct  8 17:46:32 2010  sparse part has weight 215783887 (67.41/col)
Fri Oct  8 17:47:11 2010  filtering completed in 2 passes
Fri Oct  8 17:47:12 2010  matrix is 3200224 x 3200399 (957.4 MB) with weight 279408109 (87.30/col)
Fri Oct  8 17:47:12 2010  sparse part has weight 215779655 (67.42/col)
Fri Oct  8 17:47:29 2010  read 3200399 cycles
Fri Oct  8 17:47:31 2010  matrix is 3200224 x 3200399 (957.4 MB) with weight 279408109 (87.30/col)
Fri Oct  8 17:47:31 2010  sparse part has weight 215779655 (67.42/col)
Fri Oct  8 17:47:31 2010  saving the first 48 matrix rows for later
Fri Oct  8 17:47:32 2010  matrix is 3200176 x 3200399 (910.2 MB) with weight 223202318 (69.74/col)
Fri Oct  8 17:47:32 2010  sparse part has weight 206612248 (64.56/col)
Fri Oct  8 17:47:32 2010  matrix includes 64 packed rows
Fri Oct  8 17:47:32 2010  using block size 65536 for processor cache size 6144 kB
Fri Oct  8 17:47:45 2010  commencing Lanczos iteration (4 threads)
Fri Oct  8 17:47:45 2010  memory use: 981.7 MB
Fri Oct  8 17:47:59 2010  linear algebra at 0.0%, ETA 15h18m
Sat Oct  9 09:48:11 2010  lanczos halted after 50605 iterations (dim = 3200170)
Sat Oct  9 09:48:17 2010  recovered 35 nontrivial dependencies
Sat Oct  9 09:48:17 2010  BLanczosTime: 57972
Sat Oct  9 09:48:18 2010  
Sat Oct  9 09:48:18 2010  commencing square root phase
Sat Oct  9 09:48:18 2010  reading relations for dependency 1
Sat Oct  9 09:48:18 2010  read 1601230 cycles
Sat Oct  9 09:48:21 2010  cycles contain 4384260 unique relations
Sat Oct  9 09:49:22 2010  read 4384260 relations
Sat Oct  9 09:49:50 2010  multiplying 4384260 relations
Sat Oct  9 10:03:45 2010  multiply complete, coefficients have about 181.63 million bits
Sat Oct  9 10:03:46 2010  initial square root is modulo 3297841
Sat Oct  9 10:32:03 2010  reading relations for dependency 2
Sat Oct  9 10:32:04 2010  read 1601410 cycles
Sat Oct  9 10:32:07 2010  cycles contain 4381346 unique relations
Sat Oct  9 10:33:08 2010  read 4381346 relations
Sat Oct  9 10:33:36 2010  multiplying 4381346 relations
Sat Oct  9 10:47:43 2010  multiply complete, coefficients have about 181.50 million bits
Sat Oct  9 10:47:44 2010  initial square root is modulo 3264161
Sat Oct  9 11:16:45 2010  sqrtTime: 5307
Sat Oct  9 11:16:45 2010  prp60 factor: 113979082590303404160888347152876138118535383549475308529071
Sat Oct  9 11:16:45 2010  prp62 factor: 21971315524184228610106156528941405786711373596149023056172583
Sat Oct  9 11:16:45 2010  prp77 factor: 23572278369361777423669282454851022258776660633544736247627201041025203412189
Sat Oct  9 11:16:45 2010  elapsed time 18:05:21

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiJune 21, 2010 00:18:31 UTC 2010 年 6 月 21 日 (月) 9 時 18 分 31 秒 (日本時間)

41×10205-239

c202

name 名前matsui
date 日付October 13, 2009 11:36:22 UTC 2009 年 10 月 13 日 (火) 20 時 36 分 22 秒 (日本時間)
composite number 合成数
5955753112244156825147804360773376330965558315538705132116035502099039816388489417643555439345738731279324820964250955099432024520271349922284684998765270696242065048444967388620153687482750105315146497<202>
prime factors 素因数
5232600658096703417078110461726312950053631<43>
1138201346022551538972137406175594602676219601032471693317267548973571082701802077584706733314967476041455463058018604261123628329460178633626227973006641842687<160>
factorization results 素因数分解の結果
N=5955753112244156825147804360773376330965558315538705132116035502099039816388489417643555439345738731279324820964250955099432024520271349922284684998765270696242065048444967388620153687482750105315146497
  ( 202 digits)
SNFS difficulty: 206 digits.
Divisors found:
 r1=5232600658096703417078110461726312950053631 (pp43)
 r2=1138201346022551538972137406175594602676219601032471693317267548973571082701802077584706733314967476041455463058018604261123628329460178633626227973006641842687 (pp160)
Version: Msieve v. 1.42
Total time: 1681.27 hours.
Scaled time: 2891.78 units (timescale=1.720).
Factorization parameters were as follows:
n: 5955753112244156825147804360773376330965558315538705132116035502099039816388489417643555439345738731279324820964250955099432024520271349922284684998765270696242065048444967388620153687482750105315146497
m: 100000000000000000000000000000000000000000
deg: 5
c5: 41
c0: -23
skew: 0.89
type: snfs
lss: 1
rlim: 19400000
alim: 19400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 400000


Factor base limits: 19400000/19400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [9700000, 23300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 4011114 x 4011338
Total sieving time: 1662.59 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 17.55 hours.
Time per square root: 0.86 hours.
Prototype def-par.txt line would be:
snfs,206.000,5,0,0,0,0,0,0,0,0,19400000,19400000,29,29,56,56,2.6,2.6,100000
total time: 1681.27 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 28, 2009 15:00:00 UTC 2009 年 1 月 29 日 (木) 0 時 0 分 0 秒 (日本時間)
351e60--
403e6550 / 2336Serge BatalovFebruary 12, 2009 04:10:02 UTC 2009 年 2 月 12 日 (木) 13 時 10 分 2 秒 (日本時間)

41×10206-239

c183

composite cofactor 合成数の残り
181347103986933966924631047746497143187933719235184997307495351288833102790969704001954672949223255952194210481045238117288279692086695230705590095029983538928463524855746395649491313<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 12:46:28 UTC 2013 年 9 月 27 日 (金) 21 時 46 分 28 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovOctober 14, 2013 13:42:41 UTC 2013 年 10 月 14 日 (月) 22 時 42 分 41 秒 (日本時間)

41×10208-239

c186

composite cofactor 合成数の残り
103366848680075089856542487652514149291873986513820236314615485206415493794219708560629382620612771112227632419450944628306546243545849087574251655228522930700639438082146312031409603443<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 12:46:37 UTC 2013 年 9 月 27 日 (金) 21 時 46 分 37 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovOctober 14, 2013 13:42:23 UTC 2013 年 10 月 14 日 (月) 22 時 42 分 23 秒 (日本時間)

41×10209-239

c171

name 名前Dmitry Domanov
date 日付August 21, 2013 05:04:03 UTC 2013 年 8 月 21 日 (水) 14 時 4 分 3 秒 (日本時間)
composite number 合成数
114915913082155133209689888671916806717148403868387701858977055622416234854612471795890802522912329046725410915468455633805309272673776271594616211453212750307414768482231<171>
prime factors 素因数
106516698266919336709559586021237743059<39>
1078853503271273689968654889325301505287527737927835833301622541434267166293816411603223685363022544101558816525860318863480901303309<133>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=31156447
Step 1 took 19396ms
Step 2 took 8202ms
********** Factor found in step 2: 106516698266919336709559586021237743059
Found probable prime factor of 39 digits: 106516698266919336709559586021237743059

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)

41×10210-239

c198

composite cofactor 合成数の残り
415056662431687026159327573902353009306116074420085116048035157732153398747876321516950721547137627773633240364229555871823560783227170048864103524552492240859514833877931102161428602274296584550387<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 12:46:50 UTC 2013 年 9 月 27 日 (金) 21 時 46 分 50 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovSeptember 27, 2013 12:46:50 UTC 2013 年 9 月 27 日 (金) 21 時 46 分 50 秒 (日本時間)

41×10212-239

c199

composite cofactor 合成数の残り
7838101815264613631948319701102475135304756263076486774637436910463985472527207343304822349105685010735204321735558909504710072001942754958629083320335915325966491125351418728821657588164498190370893<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 12:47:12 UTC 2013 年 9 月 27 日 (金) 21 時 47 分 12 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovSeptember 27, 2013 12:47:12 UTC 2013 年 9 月 27 日 (金) 21 時 47 分 12 秒 (日本時間)

41×10214-239

c185

name 名前Dmitry Domanov
date 日付August 20, 2013 05:03:25 UTC 2013 年 8 月 20 日 (火) 14 時 3 分 25 秒 (日本時間)
composite number 合成数
26223174989969311702858421196914507455835394630884474936909033793446215463045264375064599778477174515646643652639299209179324293113298316355985470740681199486550981631639317734445297469<185>
prime factors 素因数
49727382789720065381641022349986071793<38>
527338732079628357001835268423485299627003613818167508563866498576300166240477054351467601207108883885611706585019872506612482778012763928997093133<147>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1752544889
Step 1 took 23746ms
Step 2 took 9228ms
********** Factor found in step 2: 49727382789720065381641022349986071793
Found probable prime factor of 38 digits: 49727382789720065381641022349986071793

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)

41×10216-239

c161

composite cofactor 合成数の残り
19739323046402035262104074964296704446110485904374342103955559920577405642532052814644521537150429614461729135910072667168242738887593592828661182289168793587237<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 12:47:26 UTC 2013 年 9 月 27 日 (金) 21 時 47 分 26 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 21, 2013 09:25:15 UTC 2013 年 11 月 21 日 (木) 18 時 25 分 15 秒 (日本時間)

41×10217-239

c186

name 名前JPascoa
date 日付August 18, 2013 16:42:37 UTC 2013 年 8 月 19 日 (月) 1 時 42 分 37 秒 (日本時間)
composite number 合成数
915999274482668072229108587054242151547163082823275673696079435292338679635848560868884862654668868998368970111777580334234534408929584784657058384792203833482753503007836536291883577453<186>
prime factors 素因数
22788415532092938820281375393340174339<38>
composite cofactor 合成数の残り
40195829902814689434096025491502854093991897705185498210810009225869349518232340837674619460727700104345481928480022580118991657211350109922991147727<149>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM]
Input number is 9159992744826680722291085870542421515471630828232756736960794352
92338679635848560868884862654668868998368970111777580334234534408929584784657058
384792203833482753503007836536291883577453 (186 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3608686330
Step 1 took 52572ms
Step 2 took 24727ms
********** Factor found in step 2: 22788415532092938820281375393340174339
Found probable prime factor of 38 digits: 22788415532092938820281375393340174339

Composite cofactor 4019582990281468943409602549150285409399189770518549821081000
92258693495182323408376746194607277001043454819284800225801189916572113501099229
91147727 has 149 digits
execution environment 実行環境
intel 3930k, windows 7 ultimate, 32GB RAM

c149

name 名前Rich Dickerson
date 日付November 23, 2015 12:10:39 UTC 2015 年 11 月 23 日 (月) 21 時 10 分 39 秒 (日本時間)
composite number 合成数
40195829902814689434096025491502854093991897705185498210810009225869349518232340837674619460727700104345481928480022580118991657211350109922991147727<149>
prime factors 素因数
178768481884167412837522471013326785550484573<45>
224848527431471259492803881548092434704659582923378533187677148708152653749810317698815180886884477475099<105>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=10939858
Step 1 took 92327ms
Step 2 took 25644ms
Run 493 out of 500:
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2235025814
Step 1 took 93414ms
********** Factor found in step 1: 178768481884167412837522471013326785550484573
Found probable prime factor of 45 digits: 178768481884167412837522471013326785550484573
Probable prime cofactor 224848527431471259492803881548092434704659582923378533187677148708152653749810317698815180886884477475099 has 105 digits
software ソフトウェア
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
execution environment 実行環境
Core i5-3570K. OpenSUSE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)
786JPascoaAugust 18, 2013 16:38:06 UTC 2013 年 8 月 19 日 (月) 1 時 38 分 6 秒 (日本時間)
403e62104JPascoaAugust 18, 2013 16:38:29 UTC 2013 年 8 月 19 日 (月) 1 時 38 分 29 秒 (日本時間)
4511e63340 / 39741190JPascoaAugust 18, 2013 16:39:21 UTC 2013 年 8 月 19 日 (月) 1 時 39 分 21 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:10:54 UTC 2013 年 11 月 9 日 (土) 2 時 10 分 54 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:58 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 58 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:01:58 UTC 2014 年 5 月 25 日 (日) 4 時 1 分 58 秒 (日本時間)

41×10218-239

c219

name 名前Bob Backstrom
date 日付November 30, 2017 02:52:41 UTC 2017 年 11 月 30 日 (木) 11 時 52 分 41 秒 (日本時間)
composite number 合成数
151851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851<219>
prime factors 素因数
448045843558369105902565887572738757914144203573614930371985299628425770522796219<81>
338920344949186822095758610944030788723086195845224946778714150240571731612066286487683711830865282969873899270821938819594387278079108529<138>
factorization results 素因数分解の結果
Number: n
N=151851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851
  ( 219 digits)
SNFS difficulty: 219 digits.
Divisors found:

Thu Nov 30 13:12:34 2017  prp81 factor: 448045843558369105902565887572738757914144203573614930371985299628425770522796219
Thu Nov 30 13:12:34 2017  prp138 factor: 338920344949186822095758610944030788723086195845224946778714150240571731612066286487683711830865282969873899270821938819594387278079108529
Thu Nov 30 13:12:34 2017  elapsed time 38:57:09 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.272).
Factorization parameters were as follows:
#
# 41x10^218-23 45(217)3
#
n: 151851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851
m: 1000000000000000000000000000000000000
deg: 6
c6: 4100
c0: -23
skew: 0.42
# Murphy_E = 1.658e-12
type: snfs
lss: 1
rlim: 32000000
alim: 32000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 32000000/32000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 156000000)
Primes: RFBsize:1973815, AFBsize:1972300,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 14125609 hash collisions in 70173591 relations (57803561 unique)
Msieve: matrix is 5314499 x 5314724 (1514.5 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 38hrs 12min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 22min 30sec.
Prototype def-par.txt line would be:
snfs,219,6,0,0,0,0,0,0,0,0,32000000,32000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038618] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] efi: mem02: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x0000000000009000-0x0000000000058000) (0MB)
[    0.000000] efi: mem04: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x0000000000059000-0x000000000005f000) (0MB)
[    0.000000] efi: mem08: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x0000000000100000-0x0000000001000000) (15MB)
[    0.000000] efi: mem10: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000022d8000-0x000000003eefc000) (972MB)
[    0.000000] efi: mem12: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x0000000040000000-0x0000000090ff2000) (1295MB)
[    0.000000] efi: mem14: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000c3ddf000-0x00000000c6d42000) (47MB)
[    0.000000] efi: mem17: [ACPI Memory NVS    |   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000c7052000-0x00000000c7059000) (0MB)
[    0.000000] efi: mem26: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000c7ccf000-0x00000000c7cd9000) (0MB)
[    0.000000] efi: mem28: [Conventional Memory|   |  |  |  |   |WB|WT|WC|UC] range=[0x00000000c7cde000-0x00000000cae24000) (49MB)
...
[    0.000000] efi: mem147: [Memory Mapped I/O  |RUN|  |  |  |   |  |  |  |UC] range=[0x00000000fee00000-0x00000000fee01000) (0MB)
[    0.000000] efi: mem148: [Memory Mapped I/O  |RUN|  |  |  |   |  |  |  |UC] range=[0x00000000ff000000-0x0000000100000000) (16MB)
[    0.000000] Memory: 16059420K/16661464K available (7585K kernel code, 1183K rwdata, 3284K rodata, 1504K init, 1524K bss, 602044K reserved, 0K cma-reserved)
[    1.117978] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7199.95 BogoMIPS (lpj=3599977)
[    0.136819] smpboot: Total of 8 processors activated (57599.63 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)
786JPascoaAugust 18, 2013 17:20:24 UTC 2013 年 8 月 19 日 (月) 2 時 20 分 24 秒 (日本時間)
403e62104JPascoaAugust 18, 2013 20:40:39 UTC 2013 年 8 月 19 日 (月) 5 時 40 分 39 秒 (日本時間)
4511e645501500Dmitry DomanovSeptember 27, 2013 12:47:51 UTC 2013 年 9 月 27 日 (金) 21 時 47 分 51 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:58 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 58 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:07 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 7 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:29 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 29 秒 (日本時間)

41×10219-239

c208

name 名前Dmitry Domanov
date 日付August 20, 2013 05:02:56 UTC 2013 年 8 月 20 日 (火) 14 時 2 分 56 秒 (日本時間)
composite number 合成数
2778011394481687504761220131144561042613642700637807827664931016686078244370085891306966791139849550047295464629761390690533474472641757620624975400205629647142011456101437706692795609918983442640300398025049<208>
prime factors 素因数
49329384291425167360388884146393631<35>
composite cofactor 合成数の残り
56315549735425826483510207685417870674932653810519224451565135130311837974875692380650743791607047691660497172252292555032019676630680252372486037866909544579754939080742279<173>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4238754330
Step 1 took 26658ms
Step 2 took 10273ms
********** Factor found in step 2: 49329384291425167360388884146393631
Found probable prime factor of 35 digits: 49329384291425167360388884146393631

c173

name 名前Dmitry Domanov
date 日付November 22, 2013 10:08:38 UTC 2013 年 11 月 22 日 (金) 19 時 8 分 38 秒 (日本時間)
composite number 合成数
56315549735425826483510207685417870674932653810519224451565135130311837974875692380650743791607047691660497172252292555032019676630680252372486037866909544579754939080742279<173>
prime factors 素因数
699880224156128255695057791052188647<36>
80464553493174620835320508949179875003379094365977463294934966065128845286584556748596009578484770490723173190588364506779492415699580257<137>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4047758048
Step 1 took 67559ms
Step 2 took 26644ms
********** Factor found in step 2: 699880224156128255695057791052188647
Found probable prime factor of 36 digits: 699880224156128255695057791052188647

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 12:48:15 UTC 2013 年 9 月 27 日 (金) 21 時 48 分 15 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 21, 2013 09:25:35 UTC 2013 年 11 月 21 日 (木) 18 時 25 分 35 秒 (日本時間)

41×10220-239

c213

name 名前Dmitry Domanov
date 日付August 22, 2013 05:34:00 UTC 2013 年 8 月 22 日 (木) 14 時 34 分 0 秒 (日本時間)
composite number 合成数
403110111708723818110082994502324321597365465802725401312265190387770169349713986050936972085215664602916920302811557249884380400197631319674344409022569011362235634206900376557641928627944819774861881767928118451<213>
prime factors 素因数
580630717423696830110819911400253457<36>
694262462546512180932711404065833796455637872219940502906689312221064490312176682124090029302104352767732609447387866401092923240575427026903827064810801685418341986693891341443<177>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1226763887
Step 1 took 31462ms
Step 2 took 11170ms
********** Factor found in step 2: 580630717423696830110819911400253457
Found probable prime factor of 36 digits: 580630717423696830110819911400253457

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)

41×10221-239

c220

composite cofactor 合成数の残り
7231040564373897707231040564373897707231040564373897707231040564373897707231040564373897707231040564373897707231040564373897707231040564373897707231040564373897707231040564373897707231040564373897707231040564373897707231<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 12, 2013 16:48:14 UTC 2013 年 9 月 13 日 (金) 1 時 48 分 14 秒 (日本時間)
403e61610110Ignacio SantosSeptember 12, 2013 16:48:14 UTC 2013 年 9 月 13 日 (金) 1 時 48 分 14 秒 (日本時間)
1500Dmitry DomanovSeptember 27, 2013 12:48:28 UTC 2013 年 9 月 27 日 (金) 21 時 48 分 28 秒 (日本時間)
4511e6458232Ignacio SantosSeptember 12, 2013 16:48:14 UTC 2013 年 9 月 13 日 (金) 1 時 48 分 14 秒 (日本時間)
1500Dmitry DomanovSeptember 27, 2013 12:48:28 UTC 2013 年 9 月 27 日 (金) 21 時 48 分 28 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:15:20 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 20 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:21 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 21 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:37 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 37 秒 (日本時間)

41×10222-239

c202

composite cofactor 合成数の残り
3830798221376022247379381326202790996844893003458283469506418183758740539007749551275593941898805862830114037900231016773997966463414280856458538812627412735630019950555477490722521706821152302745886731<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 12:48:45 UTC 2013 年 9 月 27 日 (金) 21 時 48 分 45 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovSeptember 27, 2013 12:48:45 UTC 2013 年 9 月 27 日 (金) 21 時 48 分 45 秒 (日本時間)

41×10224-239

c196

name 名前Dmitry Domanov
date 日付August 19, 2013 12:32:23 UTC 2013 年 8 月 19 日 (月) 21 時 32 分 23 秒 (日本時間)
composite number 合成数
7611680581241590836422919313538406024179111768107688386681218850101495095979226674759901135694236414321256705227252313616839865847714180659974171646946123590698564969166263260994476123604574779063<196>
prime factors 素因数
11708536059626134015240441676859833<35>
composite cofactor 合成数の残り
650096693769301153523364740176675074960985586015958901491951461085123314566390101859262197972841783522270979999610134745470726378899562818231209689588739052387311<162>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3275299204
Step 1 took 27364ms
Step 2 took 9979ms
********** Factor found in step 2: 11708536059626134015240441676859833
Found probable prime factor of 35 digits: 11708536059626134015240441676859833

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 12:48:59 UTC 2013 年 9 月 27 日 (金) 21 時 48 分 59 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 21, 2013 09:25:53 UTC 2013 年 11 月 21 日 (木) 18 時 25 分 53 秒 (日本時間)

41×10227-239

c190

name 名前Dmitry Domanov
date 日付November 11, 2013 06:21:30 UTC 2013 年 11 月 11 日 (月) 15 時 21 分 30 秒 (日本時間)
composite number 合成数
1635843173152593014512870476524159274585310309441205109344140758053865342843019480274915221799174750508451267140611738722733300394994006660207446668997724016933066350954952292012451659557731<190>
prime factors 素因数
224045222185367348518503565137328614036028754807<48>
composite cofactor 合成数の残り
7301397267910280909628573505021461336113623278603649832909715006495879850351329836413736970426375158150019525108648822179089758714137024201333<142>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1508425014
Step 1 took 114470ms
Step 2 took 36730ms
********** Factor found in step 2: 224045222185367348518503565137328614036028754807
Found probable prime factor of 48 digits: 224045222185367348518503565137328614036028754807

c142

name 名前Erik Branger
date 日付June 20, 2017 15:51:43 UTC 2017 年 6 月 21 日 (水) 0 時 51 分 43 秒 (日本時間)
composite number 合成数
7301397267910280909628573505021461336113623278603649832909715006495879850351329836413736970426375158150019525108648822179089758714137024201333<142>
prime factors 素因数
131226510577160373241713644692858740089522150083638583<54>
55639651132970610090023126597184339642068211092547772597487677532970854405509223366499251<89>
factorization results 素因数分解の結果
Number: 45553_227
N = 7301397267910280909628573505021461336113623278603649832909715006495879850351329836413736970426375158150019525108648822179089758714137024201333 (142 digits)
Divisors found:
r1=131226510577160373241713644692858740089522150083638583 (pp54)
r2=55639651132970610090023126597184339642068211092547772597487677532970854405509223366499251 (pp89)
Version: Msieve v. 1.51 (SVN 845)
Total time: 470.66 hours.
Factorization parameters were as follows:
# Murphy_E = 1.609e-11, selected by Maksym Voznyy
# selected by CADO-NFS, optimized by Msieve
n: 7301397267910280909628573505021461336113623278603649832909715006495879850351329836413736970426375158150019525108648822179089758714137024201333
Y0: -2830322217175015857787022771
Y1: 2132898815087230519
c0: -8139591161906341055757150083873010
c1: 229214014436802490965601541
c2: 66487735219467023139002
c3: 8058651747345696
c4: -79560827698
c5: 40260
skew: 822232.4
type: gnfs
# selected mechanically
rlim: 25000000
alim: 25000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 25000000/25000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23266136
Relations: 4431790 relations
Pruned matrix : 2767711 x 2767938
Polynomial selection time: 0.00 hours.
Total sieving time: 461.68 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 8.29 hours.
time per square root: 0.48 hours.
Prototype def-par.txt line would be: gnfs,141,5,65,2000,1e-05,0.28,250,20,50000,3600,25000000,25000000,28,28,56,56,2.6,2.6,100000
total time: 470.66 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 KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 12:49:11 UTC 2013 年 9 月 27 日 (金) 21 時 49 分 11 秒 (日本時間)
4511e642041500Dmitry DomanovNovember 8, 2013 13:05:01 UTC 2013 年 11 月 8 日 (金) 22 時 5 分 1 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:53 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 53 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:40 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 40 秒 (日本時間)
504Ignacio SantosDecember 16, 2015 21:37:50 UTC 2015 年 12 月 17 日 (木) 6 時 37 分 50 秒 (日本時間)

41×10228-239

c217

name 名前Dmitry Domanov
date 日付September 30, 2013 07:42:48 UTC 2013 年 9 月 30 日 (月) 16 時 42 分 48 秒 (日本時間)
composite number 合成数
8476958953378364875881830269376575643461670594303740521072093222335655850175427519275498695441478282293776289096722979499042294765884082982143790270781651364041556550696196067202893883427099474941653954783281935702047<217>
prime factors 素因数
29404473167649602602389465498018230699<38>
composite cofactor 合成数の残り
288288074574469800511777568677731014664577275745397781558284733750808483240286655720173958350677294029245695970104472665549634037813950061173014677028145576842480831305287398025053<180>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3885468729
Step 1 took 101764ms
Step 2 took 31465ms
********** Factor found in step 2: 29404473167649602602389465498018230699
Found probable prime factor of 38 digits: 29404473167649602602389465498018230699

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 12:49:24 UTC 2013 年 9 月 27 日 (金) 21 時 49 分 24 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovSeptember 27, 2013 12:49:24 UTC 2013 年 9 月 27 日 (金) 21 時 49 分 24 秒 (日本時間)

41×10229-239

c211

name 名前Dmitry Domanov
date 日付August 19, 2013 07:54:48 UTC 2013 年 8 月 19 日 (月) 16 時 54 分 48 秒 (日本時間)
composite number 合成数
2404423000870290627274309922532420987403982536692043580013336855168937710138903707120858564332848885883955616891344639579835871038589785548377222506777232493161863011604543141410290688760286392285111239772440227<211>
prime factors 素因数
6764706340976835268851628706676730489<37>
composite cofactor 合成数の残り
355436419509540424021280976348197491633103782739026042033213736414943695792262956778011156331451845495539283541246453306497485073733484083356608233849538272710888507712942843<174>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=786250091
Step 1 took 26701ms
********** Factor found in step 1: 6764706340976835268851628706676730489
Found probable prime factor of 37 digits: 6764706340976835268851628706676730489

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 12:49:36 UTC 2013 年 9 月 27 日 (金) 21 時 49 分 36 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 21, 2013 09:26:14 UTC 2013 年 11 月 21 日 (木) 18 時 26 分 14 秒 (日本時間)

41×10231-239

c205

name 名前Dmitry Domanov
date 日付August 19, 2013 07:55:14 UTC 2013 年 8 月 19 日 (月) 16 時 55 分 14 秒 (日本時間)
composite number 合成数
1894858189499341577330371518605495623498521939664779892656168444714924384113016838955508889531735538511432090645598446516010611336324226508301247130116161398296820277778125804046644889292522425636456951471<205>
prime factors 素因数
8983087030047181866540461239013<31>
210936194112480864384011608614221221831600708789186450525280771219237786799646450133939975527425725508563562448618202120367142088778667267538144130802821708462515311992395267<174>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1955301364
Step 1 took 26736ms
Step 2 took 10289ms
********** Factor found in step 2: 8983087030047181866540461239013
Found probable prime factor of 31 digits: 8983087030047181866540461239013

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)

41×10233-239

c210

composite cofactor 合成数の残り
524369498053331941279362681956174618553837424442286381491869395654671352246276233737250312422207952313422264493984166935979094624765867620124176541856805150881041943901602163882888929381759315748887973822985533<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 13:00:32 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 32 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovSeptember 27, 2013 13:00:32 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 32 秒 (日本時間)

41×10234-239

c209

composite cofactor 合成数の残り
26870936617944107274621137558976545405646745891093654807431845769573652030591159962101640727529797672934893582379978941550499735973325306386790055407733474318243514714524918659571462150241735391268697284288311<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 13:01:13 UTC 2013 年 9 月 27 日 (金) 22 時 1 分 13 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovSeptember 27, 2013 13:01:13 UTC 2013 年 9 月 27 日 (金) 22 時 1 分 13 秒 (日本時間)

41×10235-239

c234

composite cofactor 合成数の残り
548862115127175368139223560910307898259705488621151271753681392235609103078982597054886211512717536813922356091030789825970548862115127175368139223560910307898259705488621151271753681392235609103078982597054886211512717536813922356091<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 12, 2013 20:19:01 UTC 2013 年 9 月 13 日 (金) 5 時 19 分 1 秒 (日本時間)
403e61610110Ignacio SantosSeptember 12, 2013 20:19:01 UTC 2013 年 9 月 13 日 (金) 5 時 19 分 1 秒 (日本時間)
1500Dmitry DomanovSeptember 27, 2013 13:01:29 UTC 2013 年 9 月 27 日 (金) 22 時 1 分 29 秒 (日本時間)
4511e6498232Ignacio SantosSeptember 12, 2013 20:19:01 UTC 2013 年 9 月 13 日 (金) 5 時 19 分 1 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:16:53 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 53 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:31 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 31 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:24:59 UTC 2014 年 2 月 24 日 (月) 4 時 24 分 59 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:14 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 14 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 00:18:55 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 55 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 01:48:42 UTC 2014 年 12 月 18 日 (木) 10 時 48 分 42 秒 (日本時間)

41×10236-239

c149

composite cofactor 合成数の残り
12618196542628900208966657418927516950075396141190847310788392862407578951555109992145978574623451606528415656489640244534156755659998694226820886003<149>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)
300Ignacio SantosAugust 29, 2013 11:06:32 UTC 2013 年 8 月 29 日 (木) 20 時 6 分 32 秒 (日本時間)
403e61610110Ignacio SantosAugust 29, 2013 11:06:32 UTC 2013 年 8 月 29 日 (木) 20 時 6 分 32 秒 (日本時間)
1500Dmitry DomanovSeptember 27, 2013 13:01:43 UTC 2013 年 9 月 27 日 (金) 22 時 1 分 43 秒 (日本時間)
4511e6410832Ignacio SantosAugust 29, 2013 11:06:32 UTC 2013 年 8 月 29 日 (木) 20 時 6 分 32 秒 (日本時間)
230Ignacio SantosOctober 7, 2013 18:11:49 UTC 2013 年 10 月 8 日 (火) 3 時 11 分 49 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:10:46 UTC 2013 年 11 月 9 日 (土) 2 時 10 分 46 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:52 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 52 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:01:53 UTC 2014 年 5 月 25 日 (日) 4 時 1 分 53 秒 (日本時間)
1696Ignacio SantosJanuary 21, 2016 20:45:10 UTC 2016 年 1 月 22 日 (金) 5 時 45 分 10 秒 (日本時間)

41×10237-239

c178

name 名前Dmitry Domanov
date 日付August 19, 2013 07:53:51 UTC 2013 年 8 月 19 日 (月) 16 時 53 分 51 秒 (日本時間)
composite number 合成数
2911054995041719704592318214128203167526281869905680935099713194824760090186213155607953702312263283785124833653295583095711170597339648999255367479717575299163050628011801049139<178>
prime factors 素因数
1774401189494727527274094486065037<34>
composite cofactor 合成数の残り
1640584447461209077005131373397839376247884519568029268987003125156163682508295775446660445064224820390077908494660487735906708368775894119405247<145>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=276518396
Step 1 took 23260ms
Step 2 took 8902ms
********** Factor found in step 2: 1774401189494727527274094486065037
Found probable prime factor of 34 digits: 1774401189494727527274094486065037

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)
300Ignacio SantosAugust 29, 2013 10:36:51 UTC 2013 年 8 月 29 日 (木) 19 時 36 分 51 秒 (日本時間)
403e62310110Ignacio SantosAugust 29, 2013 10:36:51 UTC 2013 年 8 月 29 日 (木) 19 時 36 分 51 秒 (日本時間)
2200Jose PascoaSeptember 15, 2013 21:08:11 UTC 2013 年 9 月 16 日 (月) 6 時 8 分 11 秒 (日本時間)
4511e6398232Ignacio SantosAugust 29, 2013 10:36:51 UTC 2013 年 8 月 29 日 (木) 19 時 36 分 51 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:10:02 UTC 2013 年 11 月 9 日 (土) 2 時 10 分 2 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:14 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 14 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:57 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 57 秒 (日本時間)
900Ignacio SantosDecember 27, 2015 14:15:55 UTC 2015 年 12 月 27 日 (日) 23 時 15 分 55 秒 (日本時間)

41×10238-239

c179

name 名前Dmitry Domanov
date 日付August 19, 2013 07:54:17 UTC 2013 年 8 月 19 日 (月) 16 時 54 分 17 秒 (日本時間)
composite number 合成数
57148433605456217848790839555641889662986428768900590270408978236836170540883231234290237619591154410749384495587050369224960818682574409990037423124879419261447686289849887991721<179>
prime factors 素因数
254038792701563574759488262832637<33>
224959475667924148856690576374892584060887248962809576463735126264028801513529253488456334976283105919986454350821785920375180767563818828483823133<147>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3189782487
Step 1 took 23056ms
Step 2 took 8922ms
********** Factor found in step 2: 254038792701563574759488262832637
Found probable prime factor of 33 digits: 254038792701563574759488262832637

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)

41×10239-239

c211

name 名前Dmitry Domanov
date 日付August 21, 2013 05:04:35 UTC 2013 年 8 月 21 日 (水) 14 時 4 分 35 秒 (日本時間)
composite number 合成数
3413432061684644947093853115760822513704180753705105523465673011357805244402559181720075136409161182952149260478252880431919653050175333917389291218708290494542712087672777784612313384111544570167575584054789821<211>
prime factors 素因数
63292035691996015655996748820131339313<38>
53931462692964251268940215218182608085044835922453719963915887622947235723538462877889727627914997012001083286476241688201752069771210373480812700548402941882788326236605517<173>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2474694756
Step 1 took 26663ms
Step 2 took 10328ms
********** Factor found in step 2: 63292035691996015655996748820131339313
Found probable prime factor of 38 digits: 63292035691996015655996748820131339313

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)

41×10240-239

c226

name 名前Dmitry Domanov
date 日付August 20, 2013 05:04:14 UTC 2013 年 8 月 20 日 (火) 14 時 4 分 14 秒 (日本時間)
composite number 合成数
4352139352199080573389605589083757988778541872107504645239746233209466014868283394524659687451384449463285749224336579038317301406665326119369339968741464056806495581527267767860399824603879665637636210726329513291077377362827<226>
prime factors 素因数
91106720901861137772222787698347774309<38>
composite cofactor 合成数の残り
47769684926835892832633928704286741305203791162970127336855411582109139179678089655002808534789178008019302663845198844496776617649745439389605742282069711588084737558514325380892174701103<188>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2190389728
Step 1 took 30544ms
Step 2 took 11396ms
********** Factor found in step 2: 91106720901861137772222787698347774309
Found probable prime factor of 38 digits: 91106720901861137772222787698347774309

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 13:02:10 UTC 2013 年 9 月 27 日 (金) 22 時 2 分 10 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 8, 2013 13:05:29 UTC 2013 年 11 月 8 日 (金) 22 時 5 分 29 秒 (日本時間)

41×10241-239

c221

name 名前Dmitry Domanov
date 日付September 30, 2013 05:50:19 UTC 2013 年 9 月 30 日 (月) 14 時 50 分 19 秒 (日本時間)
composite number 合成数
11369549080952592376068334161597583147480123676085189513157417947540997484599679152404502283540209643658727229774061393552700525072044982003246471248084946179999940095925469532145000193020383799603746640385776073227641877<221>
prime factors 素因数
3266167776586464280241873794286508898141<40>
3481005832723979086817768310202545407198629104694894257499500864844440075921324189895277840207892747535631208898927485625807771208984683144766425445332198437180277111770063374134297<181>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=143805623
Step 1 took 120742ms
********** Factor found in step 1: 3266167776586464280241873794286508898141
Found probable prime factor of 40 digits: 3266167776586464280241873794286508898141

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 13:02:26 UTC 2013 年 9 月 27 日 (金) 22 時 2 分 26 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovSeptember 27, 2013 13:02:26 UTC 2013 年 9 月 27 日 (金) 22 時 2 分 26 秒 (日本時間)

41×10242-239

c196

composite cofactor 合成数の残り
1316990202241344491954212711819579437173879550262480389396271131009300478897856150885990548630764936874314144669563807965817079255377416546297305629339125995763036829552472821464362847791276423823<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 13:03:10 UTC 2013 年 9 月 27 日 (金) 22 時 3 分 10 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovOctober 25, 2013 13:51:51 UTC 2013 年 10 月 25 日 (金) 22 時 51 分 51 秒 (日本時間)

41×10243-239

c232

composite cofactor 合成数の残り
1716881150211494256956176058643377033189673823342062700469927716207708149823917196779542671492311750419530265919872734999265126378170156234831724605709220327559393575591253065218033799532646733907299309192072886471188915214271362109<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 13:03:00 UTC 2013 年 9 月 27 日 (金) 22 時 3 分 0 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 21, 2013 09:26:34 UTC 2013 年 11 月 21 日 (木) 18 時 26 分 34 秒 (日本時間)

41×10245-239

c237

composite cofactor 合成数の残り
658069444248006702717851955837417356041878794047918978818737898053765701766260908286107232461844569047068829336522160662923454351435799884843593326380309619487444094310250385682503544254889804145675356871569218251470840301147157938696523<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 13:03:24 UTC 2013 年 9 月 27 日 (金) 22 時 3 分 24 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 21, 2013 09:26:46 UTC 2013 年 11 月 21 日 (木) 18 時 26 分 46 秒 (日本時間)

41×10246-239

c237

name 名前Dmitry Domanov
date 日付November 26, 2013 06:15:46 UTC 2013 年 11 月 26 日 (火) 15 時 15 分 46 秒 (日本時間)
composite number 合成数
242438192281272414876407884566745813531482260055080686082339809051535721857295766907157818312410267457276044094261357490136503571941141667219105401432191237631805194767959232385566511020580289564437754251598186946871283552250022301716349<237>
prime factors 素因数
36721181819013378418843293392175599996359<41>
composite cofactor 合成数の残り
6602134797190637464865280411860018026063856577661108120372696931826554259258707140747877037879483983724599279457523375518569793505080709062883909308113825075685892365380861366826946303958711699611<196>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=138871697
Step 1 took 113061ms
Step 2 took 30362ms
********** Factor found in step 2: 36721181819013378418843293392175599996359
Found probable prime factor of 41 digits: 36721181819013378418843293392175599996359

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 13:03:34 UTC 2013 年 9 月 27 日 (金) 22 時 3 分 34 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 21, 2013 09:26:59 UTC 2013 年 11 月 21 日 (木) 18 時 26 分 59 秒 (日本時間)

41×10247-239

c225

composite cofactor 合成数の残り
214541767380809458611603011770238915113770157194247289711155094284757260354504094043494393955318232210351157308647511282871418816411112302119227342055985434156944309966970271748739025389616273050801205051809149000381833792053<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 13:03:44 UTC 2013 年 9 月 27 日 (金) 22 時 3 分 44 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 21, 2013 09:27:12 UTC 2013 年 11 月 21 日 (木) 18 時 27 分 12 秒 (日本時間)

41×10248-239

c228

composite cofactor 合成数の残り
814619500631060858080294888401443398339044400500198351019120707135440371366408348756226872700463320170156948756115936681892449906098289420789693170243661873806633494253782754359702693637106669938100915160055866361531171627336241<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 13:03:54 UTC 2013 年 9 月 27 日 (金) 22 時 3 分 54 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 21, 2013 09:27:24 UTC 2013 年 11 月 21 日 (木) 18 時 27 分 24 秒 (日本時間)

41×10249-239

c214

composite cofactor 合成数の残り
2175007408046296091477647468506041166830872988474474781002339083866351159888577818712726850643988225605074395435323101589649151808152319588579285195819984399903815114649850346911589707828366785793863413589768762821<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 27, 2013 13:04:08 UTC 2013 年 9 月 27 日 (金) 22 時 4 分 8 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovSeptember 27, 2013 13:04:08 UTC 2013 年 9 月 27 日 (金) 22 時 4 分 8 秒 (日本時間)

41×10250-239

c213

name 名前Dmitry Domanov
date 日付September 9, 2013 06:24:10 UTC 2013 年 9 月 9 日 (月) 15 時 24 分 10 秒 (日本時間)
composite number 合成数
242442564300851966778374631120439541446154318217821623055611066119368769973434875205861804877990621942362221595286544919629256617433017708642505525883599563601933850814406381774682160330861096267086207760404226033<213>
prime factors 素因数
281346954904271983595305376648637272426434267117<48>
composite cofactor 合成数の残り
861720946591879068639612644779531151086772368837892563179528274414310345895899923814596118339904561900021642038157744320282347857393296604491660309435218344599596949<165>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2610802975
Step 1 took 460276ms
Step 2 took 102242ms
********** Factor found in step 2: 281346954904271983595305376648637272426434267117
Found probable prime factor of 48 digits: 281346954904271983595305376648637272426434267117

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 13, 2013 23:00:00 UTC 2013 年 8 月 14 日 (水) 8 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 30, 2013 10:34:12 UTC 2013 年 8 月 30 日 (金) 19 時 34 分 12 秒 (日本時間)
4511e62000Dmitry DomanovAugust 30, 2013 10:34:12 UTC 2013 年 8 月 30 日 (金) 19 時 34 分 12 秒 (日本時間)
5043e6620 / 7047400Dmitry DomanovSeptember 6, 2013 13:20:37 UTC 2013 年 9 月 6 日 (金) 22 時 20 分 37 秒 (日本時間)
220Dmitry DomanovSeptember 9, 2013 06:23:59 UTC 2013 年 9 月 9 日 (月) 15 時 23 分 59 秒 (日本時間)